g Assume that the distribution of time spent on leisure activities by adults living in household with no young children is normally distributed with a mean of 4.5 hours per day and a standard deviation of 1.3 hours per day. Find the probability that the amount of time spent on leisure activities per day for a randomly selected adult from the population of interest is less than 6 hours per day. Round your answer to four decimal places. (make sure to put a 0 in front of the decimal ie 0.1 vs .1)
Answers
Answer:
"The probability that the amount of time spent on leisure activities per day for a randomly selected adult from the population of interest is less than 6 hours per day" is about 0.8749.
Step-by-step explanation:
We have here a random variable that is normally distributed, namely, the time spent on leisure activities by adults living in a household with no young children.
The normal distribution is determined by two parameters: the population mean, [tex] \\ \mu[/tex], and the population standard deviation, [tex] \\ \sigma[/tex]. In this case, the variable follows a normal distribution with parameters [tex] \\ \mu = 4.5[/tex] hours per day and [tex] \\ \sigma = 1.3[/tex] hours per day.
We can solve this question following the next strategy:
Use the cumulative standard normal distribution to find the probability.Find the z-score for the raw score given in the question, that is, x = 6 hours per day.With the z-score at hand, we can find this probability using a table with the values for the cumulative standard normal distribution. This table is called the standard normal table, and it is available on the Internet or in any Statistics books. Of course, we can also find these probabilities using statistics software or spreadsheets.We use the standard normal distribution because we can "transform" any raw score into standardized values, which represent distances from the population mean in standard deviations units, where a positive value indicates that the value is above the mean and a negative value that the value is below it. A standard normal distribution has [tex] \\ \mu = 0[/tex] and [tex] \\ \sigma = 1[/tex].
The formula for the z-scores is as follows
[tex] \\ z = \frac{x - \mu}{\sigma}[/tex] [1]
Solving the question
Using all the previous information and using formula [1], we have
x = 6 hours per day (the raw score).
[tex] \\ \mu = 4.5[/tex] hours per day.
[tex] \\ \sigma = 1.3[/tex] hours per day.
Then (without using units)
[tex] \\ z = \frac{x - \mu}{\sigma}[/tex]
[tex] \\ z = \frac{6 - 4.5}{1.3}[/tex]
[tex] \\ z = \frac{1.5}{1.3}[/tex]
[tex] \\ z = 1.15384 \approx 1.15[/tex]
We round the value of z to two decimals since most standard normal tables only have two decimals for z.
We can observe that z = 1.15, and it tells us that the value is 1.15 standard deviations units above the mean.
With this value for z, we can consult the cumulative standard normal table, and for this z = 1.15, we have a cumulative probability of 0.8749. That is, this table gives us P(z<1.15).
We can describe the procedure of finding this probability in the next way: At the left of the table, we have z = 1.1; we can follow the first line on the table until we find 0.05. With these two values, we can determine the probability obtained above, P(z<1.15) = 0.8749.
Notice that the probability for the z-score, P(z<1.15), of the raw score, P(x<6) are practically the same, [tex] \\ P(z<1.15) \approx P(x<6)[/tex]. For an exact probability, we have to use a z-score = 1.15384 (without rounding), that is, [tex] \\ P(z<1.15384) = P(x<6) = 0.8757[/tex]. However, the probability is approximated since we have to round z = 1.15384 to z = 1.15 because of the use of the table.
Therefore, "the probability that the amount of time spent on leisure activities per day for a randomly selected adult from the population of interest is less than 6 hours per day" is about 0.8749.
We can see this result in the graphs below. First, for P(x<6) in [tex] \\ N(4.5, 1.3)[/tex] (red area), and second, using the standard normal distribution ([tex] \\ N(0, 1)[/tex]), for P(z<1.15), which corresponds with the blue shaded area.
Final answer:
The question seeks to find the probability that an adult spends less than 6 hours per day on leisure activities, using the given mean and standard deviation for a normal distribution. The z-score is calculated and then used to determine the probability using the cumulative normal distribution function.
Explanation:
The student's question asks to find the probability that a randomly selected adult from a certain population spends less than 6 hours per day on leisure activities, given that the distribution of time spent is normally distributed with a mean of 4.5 hours and a standard deviation of 1.3 hours.
To solve this, you can use the z-score formula:
z = (X - μ) / σ
where X is the value of interest (6 hours), μ is the mean (4.5 hours), and σ is the standard deviation (1.3 hours).
Using this, we calculate:
z = (6 - 4.5) / 1.3
= 1.15 / 1.3
= 0.8846
Now, we look up this z-score in a standard normal distribution table or use a calculator with the normal distribution function to find the corresponding probability.
Assuming normal CDF is the function for cumulative normal distribution:
probability = CDF(-∞, 0.8846, 0, 1)
This will give us the probability that the adult spends less than 6 hours per day on leisure activities. Remember, the cumulative distribution function gives the area to the left of the z-score, which corresponds to the probability of obtaining a value less than the one of interest.
Related Questions
combine like terms 2−4y3+5y3+y3+2+5x3+2
Answers
Answer: 10y3 + 5x3 + 2
Step-by-step explanation:
What is the exact value of cot (3 pi/4) ?
Answers
The exact value of cot(3π/4) is 1.
What is Cotangent ?Cotangent (cot) is defined as the ratio of the adjacent side to the opposite side of a right triangle. In the case of 3π/4, which is a 45-degree angle in the third quadrant, we can use the reference angle of π/4 (45 degrees in the first quadrant) to find the corresponding values.
In the first quadrant, the tangent of π/4 is 1, meaning the opposite side is equal to the adjacent side. In the third quadrant the values are negated, so the opposite side becomes -1, and the adjacent side becomes -1.
Therefore, cot(3π/4) can be calculated as the ratio of the adjacent side (-1) to the opposite side (-1), resulting in:
cot(3π/4) = -1/-1 = 1.
So, the exact value of cot(3π/4) is 1.
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A 2-row table with 9 columns. The first row is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4. The second row is labeled f of x with entries negative 54, negative 20, negative 4, 0, negative 2, negative 4, 0, 16, 50. Which interval contains a local maximum for this function? Which interval contains a local minimum for this function?
Answers
Answer:
(-2,0) and (0,2)
Step-by-step explanation: I GOT IT RIGHT ON EDGINUITY
THANK ME LATER!!
Answer:
Step-by-step explanation:
Answer above is right!
Lera brought a watermelon that weighed b kg to a party. Nick brought a box of candies. How much is the weight of the box of candies greater than the weight of the watermelon if the weight of the watermelon is 2/5 of the weight of the box of candies?
Answers
Answer:
1.5b (kg)
Step-by-step explanation:
Let's begin by listing out the variables we were given:
weight of the watermelon = b (kg),
weight of watermelon = (2/5) * weight of candies
weight of candies = 1 ÷ (2/5) = 1 ÷ 0.4
weight of candies = 2.5b (kg)
How much is the weight of the box of candies greater than the weight of the watermelon is given by:
weight of the box of candies - weight of watermelon= 2.5b - b = 1.5b (kg)
Therefore, the weight of the box of candies is greater than the weight of the watermelon by 1.5b (kg)
Answer: 1.5b
Step-by-step explanation:
b kg is the weight of the watermelon
(5/2)b kg is the weight of the box of candies
(5/2)b - b = (5/2 - 1)b = 1.5b
The weight of the box of candies is 1.5b kg greater than the weight of the watermelon.
simplify the expression. 18+12x.
Answers
To simplify the expression 18 + 12x, combine the constant term 18 and the variable term 12x.
Explanation:To simplify the expression 18 + 12x, we combine like terms. The term 18 is a constant term and does not have any variables. The term 12x is a product of the coefficient 12 and the variable x.
Here, 18 is a constant term (a term with no variable), and 12x is a term with the variable x. Since the constant term and the x term are not like terms, they can't be combined.
So, the simplified expression is 18 + 12x.
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Find The Missing Side Length In The Right Triangle
x,8,15
x=7
x=12.7
x=23
x=161
Answers
Answer:
12.7
Step-by-step explanation:
If this is a right triangle then you just have to use pythagorean theorem. If fifteen is the hypotenuse then fifteen squared minus eight squared will give you x squared. Fifteen squared is 225 and eight squared is 64 so you subtract 64 from 225 to acquire the number 161. The square root of 161 is not exact but when rounded it is 12.7
Simplify this complex fraction
Answers
Answer:
3
Step-by-step explanation:
2 ÷ 2/3
Make the whole number a fraction
2/1 ÷ 2/3
Copy dot flip
2/1 * 3/2
The 2 in the numerator and denominator cancel
1/1 * 3/1
3
In the diagram shown on circle A, segment CD is tangent to the circle at point D. If CD=23 and CA = 28.
then which of the following is closest to mZC?
Answers
Answer:
35°Step-by-step explanation:
The diagram is shown in the image attached.
A tangent is a line that intercepts at one unique point. When we have a tangent about a circle, an important results is that the tangent is perpendicular to the radius, because a radius can be seen as perpendicular to any point of the circle.
That means, the triangle formed ADC is a right triangle, because [tex]\angle D= 90\°[/tex].
Now, we know that [tex]CD=23[/tex] and [tex]CA=28[/tex], which are leg and hypothenuse, respectively.
So, to find [tex]m \angle C[/tex] we just need to use trigonometric reasons, specifically, the cosine funtion, because it relates the adjacent leg and the hypothenuse.
[tex]cos(C)=\frac{CD}{CA}=\frac{23}{28} \\C=cos^{-1}(\frac{23}{28} ) \approx 35 \°[/tex]
Therefore, the measure of angle C is 35°, approximately.
The question seems to seek the measure of angle mZC using properties of tangents and circles, but the provided references don't offer a clear method to find it with the given data. Therefore, it is not possible to calculate the angle without additional information or a specific figure.
Explanation:Given the information in the question, we are asked to find the measure of angle m√C in a circle where segment CD is tangent to the circle at point D, CD = 23, and CA = 28. The problem seems to be related to the properties of tangents and circles, specifically the tangent-secant theorem which states that if a tangent and a secant (or diameter) intersect at the point of tangency, the square of the length of the tangent segment is equal to the product of the lengths of the secant segment and its external part (in this case, CD and DA).
However, the extracted references do not provide a clear or direct method for calculating the measure of angle m√C. The references are disjointed and relate to various other unrelated geometrical and physical contexts, like vector differences, spherical triangles, and integral segments.
Without a specific figure or more context, it is not possible to accurately determine the measure of angle m√C based solely on the information provided.
The function g(x) is graphed on the coordinate grid. Which statements are true of g(x)? Select three options.
A. The function g(x) is a translation of f(x) = /sqrt x.
B. The function g(x) has a domain of {x | x > –2}.
C. The function g(x) has a range of {y | y > –1}.
D. The function g(x) is represented by the function g(x) = /sqrt x - 3 - 1.
E. The function g(x) can be translated right 3 units and up 1 unit to create the function f(x) = /sqrt x.
Answers
Answer:
A. The function g(x) is a translation of f(x) = √x.C. The function g(x) has a range of {y | y > –1}.E. The function g(x) can be translated right 3 units and up 1 unit to create the function f(x) = √xExplanation:
The function f(x) = √x has been translated 3 units to the left and 1 unit down to make g(x). That means translating g(x) 3 units right and 1 unit up will make f(x). (matches choices A and E)
__
The range of the function is the vertical extent, all y-values ≥ -1. (matches choice C)
__
The translated function is ...
g(x) = f(x+3) -1 = √(x +3) -1 . . . . . does not match choice D
__
The domain of the function is the horizontal extent, all x-values ≥ -3. (does not match choice B)
Answer: A, C, E
Step-by-step explanation:
Had to do this Q on test
What is the approximate value of x? Round to the nearest tenth.
50°
6 cm
3.1 cm
3.9 cm
4.6 cm
5.4 cm
O
Answers
Using the sine ratio (SOH), the approximate value of x to the nearest tenth is: 4.6 cm.
What is the Sine Ratio?The sine ratio in Trigonometry is given as: sin ∅ = opposite/hypotenuse.
Thus, given:
∅ = 50°
Hypotenuse = 6 cm
Opposite = x cm
Plug in the values in to the sine ratio:
sin 50 = x/6
x = sin 50 × 6
x = 4.6 cm
Therefore, using the sine ratio (SOH), the approximate value of x to the nearest tenth is: 4.6 cm.
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Noah gathered data at his school among 7th and 8th graders to see if there was an association between grade level and handedness. This table shows his data, but the number of right -handed 8th graders is missing .
Noah found there was no evidence of an association between grade level and handedness. Which of these could be the number of right-handed graders?
1)33
2)85
3)107
4)157
Answers
Answer: 4) 157
Step-by-step explanation:
We know that there is no association between the grade level and the andedness, then we should find that the ratio between left handeds and right handed is the same for both grades.
In 7-th grade we have:
Left handed : 11
Right handed: 72
The ratio is 11/72 = 0.14
Then, the ratio for the 8-th graders must be about the same:
Left handed: 24
Right handed: X
Ratio: 24/X
Let's start with the bigger option, X = 157.
24/157 = 0.15
Ok, we now see that with the bigger option we obtained almost the same ratio (if we use the smaller values for X, we will get a ratio bigger than 0.15, so 0.15 is the better aproximation that we can find to the 0.14 of the 7-th graders)
Then the correct option is 4) 157
The number of right-handed graders should be option 4.
Calculation of the number of right-handed graders:
Since in 7th grade
We have
Left-handed: 11
Right-handed: 72
So, The ratio is = 11: 72 = 0.14
Now the ratio for the 8th grade should be the same
So,
Left-handed: 24
Right-handed: X
so,
Ratio: 24/X
Now
if we can do
[tex]24\div 157 = 0.15[/tex]
0.15 = 0.15
Therefore, the option 4 is correct.
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Help! Best answer = Brainiest.
Answers
Answer:
Step 2
Step-by-step explanation:
There is a group of 15 people ordering pizza. If each person gets 2 slices and each pizza has 15 slices. How many pizzas should they get
Answers
Answer:
2 pizza's
Step-by-step explanation:
15x2=30
30 divided by 2 equals 15
the amount of pizza required is 30
there are a group of 15 people
each of these person gets 2 slices of pizza
each pizza has 15 slices
therefore the number of pizza needed is
= 2 × 15
= 30
Hence 30 pizzas are needed for the group of 15 people
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Max has been offered positions by two car companies. The first company pays a salary of $12,500 plus commission of $1500 for each car sold. The second company pays a salary of $17,500 plus a commission of $500 per car sold. How many cars would need to be sold to make the total pay the same
Answers
Answer:
5 Cars
Step-by-step explanation:
Let the number of cars to be sold to make the total pay equal be x.
The first company pays a salary of $12,500 plus commission of $1500 for each car sold.
Algebraically written as: 12500+1500xThe second company pays a salary of $17,500 plus a commission of $500 per car sold.
Algebraically written as: 17500+500xEquating both sides
12500+1500x=17500+500x
Collect like terms
1500x-500x=17500-12500
1000x=5000
Divide both sides by 1000
x=5
Therefore, when 5 cars are sold, the total pay would be the same.
I need the answer before 8pm
- geometry
Answers
Answer:
(0, -1)
Step-by-step explanation:
((4 + (-4))/2, (2 + (-4))/2) =
(0/2, -2/2) =
(0, -1)
The probability of not spinning a 5 and flipping heads
Answers
The probability of not spinning a 5 and flipping heads in a coin toss, assuming a spinner with 10 numbers and a fair coin, is 0.45 or 45%. This is calculated by multiplying the individual probabilities of each independent event.
Explanation:The question asked is related to the concept of probability, which refers to the likelihood of an event occurring. Specifically, it involves two independent events: spinning a number (other than 5) on a spinner, and flipping a coin to get heads. In this case, the two events do not affect the outcomes of each other.
Let's assume the spinner has 10 numbers (1 to 10) and the coin is fair (meaning the probabilities of getting heads and tails are equal). The probability of not getting a 5 on the spinner is 9/10 (because 9 out of the 10 possible outcomes meet this criterion), and the probability of getting heads on a coin flip is 1/2 (because 1 out of the 2 possible outcomes meets this criterion)
Since these are independent events, we can use the rule of product in probability to calculate the combined probability by multiplying the individual probabilities: (9/10) * (1/2) = 9/20, or 0.45. So, the probability of both not spinning a 5 and flipping heads is 0.45, or 45%.
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The student's question involves calculating the combined probability of independent events in a high school Mathematics context. It also touches on the law of large numbers, which predicts the long-term outcomes of random events. Additionally, the principles of entropy and orderliness in potential outcomes are discussed.
Explanation:The question at hand deals with the concept of probability, specifically the likelihood of spinning a number other than 5 on a device, such as a spinner or die, and flipping a coin to get heads. When we assess the chance of getting either of these outcomes, if we presume each event to be independent, the combined probability is the product of their individual probabilities.
The statistical underpinning of this concept lies in the law of large numbers, which articulates that as the number of trials in a probability experiment increases, the observed or empirical frequency approaches the theoretical probability. This law reinforces why the outcomes of coin tosses and die rolls often do not match expected results exactly in small sample sizes but do over many repetitions.
Furthermore, when analyzing the microstate probabilities of coin tosses, we assume each result has an equal likelihood of occurring, which allows us to predict the macrostate frequencies. When tossing coins, we consider symmetrical outcomes such as 5 heads or 5 tails to be orderly and less likely than the more disorderly and common 3 heads with 2 tails.
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Five is the quotient divided by some number. What is the number?
Answers
Answer:
I think you mentioned the problem “Five is the quotient of 120 divided by some number. What is the number?” In that case the answer is 24. Option b
Step-by-step explanation:
I got a 100 on the test!
Answer:
:C it not 24 it 20
Step-by-step explanation:
Teddy has two pairs of black shoes and three pairs of brown shoes. He also has one pair of brown pants and three pairs of black pants. Teddy has two pairs of red socks, four pairs of brown socks and six pairs of black socks. If Teddy chooses a pair of shoes at random, a pair of pants at random, and a pair of socks at random, what is the probability that he chooses shoes, pants, and socks of the same color?
Answers
Answer:
0.20 or 20%
Step-by-step explanation:
Brown shoes = 3
Black shoes = 2
Total shoes = 5
Brown pants = 1
Black shoes = 3
Total pants = 4
Brown socks =4
Black socks = 6
Red socks = 2
Total socks = 12
In order to choose shoes, pants and socks of the same color, Teddy can go either all black or all brown. For all black, there is a 2 in 5 chance he gets the right shoes, 3 in 4 chance for pants and 6 in 12 for socks. For all brown, there is a 3 in 5 chance he gets the right shoes, 1 in 4 chance for pants and 4 in 12 for socks.
[tex]P=P(All\ black)+P(All\ brown)\\P=\frac{2}{5}*\frac{3}{4}*\frac{6}{12}+ \frac{3}{5}*\frac{1}{4}*\frac{4}{12}\\P=0.20[/tex]
The probability that he chooses shoes, pants, and socks of the same color is 0.20 or 20%.
Multiply the fractions and reduce to lowest terms: 16 x 5/9 x 2 1/2
Answers
Answer:
thee answer is 22.22 hopes this helps
To multiply fractions 16, 5/9, and 2 1/2 and reduce to lowest terms, convert mixed numbers to improper fractions, multiply the numerators and denominators, and then simplify by common factors. The reduced answer is 200/9.
To multiply the fractions and reduce to lowest terms of the expression 16 x 5/9 x 2 1/2, we first convert the mixed number to an improper fraction. The number 2 1/2 can be written as 5/2 because 2 x 2 + 1 = 5.
Now, we have the multiplication of three numbers, which is 16 x 5/9 x 5/2. Multiplying the numerators together and the denominators together, we get 16 x 5 x 5 in the numerator and 1 x 9 x 2 in the denominator, simplifying to 400/18.
To reduce this fraction to the lowest terms, we divide the numerator and the denominator by the greatest common divisor, which is 2. This gives us 200/9. The final answer cannot be reduced further, so the reduced fraction is 200/9.
um time de futsal marcou 60 gols, correspondendo a quatro sextos do total de gols do campeonato. Quantos gols foram marcados no campeonato?
Answers
Answer:
The team scored a total of 90 goals.Step-by-step explanation:
The given question is
A futsal team scored 60 goals, corresponding to four-sixths of the league's total goals. How many goals were scored in the league?
If 60 goals represents four-sixths of the total goals, then how many goals were scored?
Here we need to use the rule of three, where the given equivalence is
[tex]60 \ goals = \frac{4}{6}[/tex]
And the total number of goals is represents by 1, which is the 100% of goals.
[tex]x=1\frac{60 \ goals}{\frac{4}{6} }=\frac{360}{4} \ goals\\ x=90[/tex]
Therefore, the team scored a total of 90 goals.
O total de gols marcados no campeonato foi de 90, como calculado por meio de uma equação proporcional representada pela fração de gols marcados pelo time de futsal.
Explanation:A questão relata que o time de futsal marcou 60 gols, o que equivale a quatro sextos do total de gols do campeonato. Para identificar o total de gols do campeonato, podemos configurar uma equação proporcional.
Se 4/6 corresponde a 60 gols, então 1/6 corresponde a 60 dividido por 4, que resulta em 15 gols. Uma vez que temos o valor representando 1/6, para obter o total de gols (ou seja, 6/6), simplesmente multiplicamos 15 por 6. Isso nos dá 90 gols.
Portanto, o total de gols marcados no campeonato foi de 90.
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When Kenny went to bed, there were 332 birds on the lake. When he woke up in the morning, there were 664 birds on the lake. How many birds landed on the lake overnight?
996
332
1,096
232
Answers
Answer:
The answer would be 332
Step-by-step explanation:
You take how many birds were there when he woke up and subtract it by how many birds there was when he went to bed. Hope this helps :)
Answer:
wrong ^ its 269 on ixl
Step-by-step explanation:
Suppose a production facility purchases a particular component part in large lots from a supplier. The production manager wants to estimate the proportion of defective parts received from this supplier. She believes the proportion defective is no more than 0.22 and wants to be within 0.02 of the true proportion of defective parts with a 90% level of confidence. How large a sample should she take?
Answers
Answer:
We need a sample size of at least 1161.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error for the interval is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
For this problem, we have that:
[tex]\pi = 0.22[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
How large a sample should she take?
We need a sample size of at least n.
n is found when [tex]M = 0.02[/tex]
So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.645\sqrt{\frac{0.22*0.78}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.645\sqrt{0.22*0.78}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.22*0.78}}{0.02}[/tex]
[tex](\sqrt{n})^{2} = (\frac{1.645\sqrt{0.22*0.78}}{0.02})^{2}[/tex]
[tex]n = 1160.88[/tex]
Rounding up
We need a sample size of at least 1161.
To estimate the proportion of defective parts with 90% confidence and 0.02 margin of error, the manager needs to use the formula for sample size, resulting in at least 1532 parts needed to be sampled.
Explanation:This question involves the calculation of sample size in statistical inference. To estimate the proportion of defective parts with a 90% confidence interval, the production manager will need to use the formula for estimating sample size, which is n = Z² * P(1-P) / E².
In this formula, Z is the z-score associated with the desired confidence level (for a 90% confidence level, the Z value is 1.645), P is the estimated proportion of the population (in this case, 0.22), and E is the margin of error (in this case, 0.02).
By substituting these values into the formula, we get: n = 1.645² * 0.22(1 - 0.22) / 0.02² = 1531.025
Since we can't have a fraction of a sample, we round this up to the nearest whole number and the manager should sample at least 1532 parts.
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La escuela se encuentra en un terreno rectangular y está próximo a adquirir uno más de forma rectangular. Este último equivale a 1/4 del tamaño actual de la escuela. Si la escuela mide 50 metros de largo y 12 de ancho. Cada salón de la escuela ocupa 1/16 del terreno acutual cuántos salones se podrían construir en el terreno nuevo.?
El patio de la escuela equivale a 3 /5 del terreno. Cuantos salones en un primer piso tiene aproximadamente un la escuela.
Si se quiesiera agregar únicamente 2 salones más y una cancha de fútbol de 3/4 del terreno original que te tanto más de espacio se necesitaría en el nuevo terreno.?
Answers
Answer:
- 4 new classrooms can be built on the newly acquired plot.
- The number of classrooms on the first floor of the school's land = 8
- The amount of extra space on the new land needed to add just 2 more rooms and a soccer field 3/4 of the original land = 375 m²
Step-by-step explanation:
The current rectangular plot for the school has dimensions 50 m length and 12 m width.
The current school plot has an area of (50×12) that is, 600 m².
The newly acquired rectangular plot, is said to be (1/4) of the current plot.
Area of the newly acquired rectangular plot
= (1/4) × 600 = 150 m²
Each classroom on the current school's plot occupies (1/16) of the the current rectangular plot, area of a classroom on the current plot.
= (1/16) × 600 = 37.5 m²
So, how many classrooms can be obtained from the newly acquired rectangular plot?
Area of the newly acquired rectangular plot = 150 m²
Area of one classroom = 37.5 m²
Number of classrooms obtainable from the newly acquired rectangular plot = (150/37.5)
= 4 classrooms
b) The schoolyard is equal to 3/5 of the land. How many classrooms on the first floor does the school have?
Total area of school land now = 600 m² + 150 m² = 750 m²
Schoolyard occupies (3/5) of the space.
Then, the classrooms on the first floor will occupy (2/5) of the space.
Area occupied by classrooms = (2/5) × 750
= 300 m²
Recall, each classroom occupies 37.5 m² of space,
Hence, the number of classrooms on the first floor = (300/37.5) = 8 classrooms to the nearest whole number.
c) If you wanted to add just 2 more rooms and a soccer field 3/4 of the original land, so much more space would be needed in the new field?
2 more classrooms will occupy = 2 × 37.5 = 75 m²
(3/4) of the original land = (3/4) × 600 = 450 m²
Total new space required = 75 + 450 = 525 m²
The newly acquired rectangular plot has an area of 150 m², So, to achieve those two projects (add just 2 more rooms and a soccer field 3/4 of the original land) that would require 525 m².
The amount of extra space that will be required = 525 - 150 = 375 m²
Hope this Helps!!!
Please answer quick plz be correct will give brainliest
Which data set does this stem-and-leaf plot represent?
{40, 88, 82, 46, 56, 60, 17, 60, 27, 17}
{7, 0, 6, 2, 8}
{77, 7, 0, 6, 6, 0, 0, 2, 8}
{17, 27, 40, 46, 56, 60, 82, 88}
A stem-and-leaf plot with a stem value of 1 with a leaf value of 7, 7, a stem value of 2 with a leaf value of 7, a stem value of 3, a stem value of 4 with a leaf value of 0, 6, a stem value of 5 with a leaf value of 6, a stem value of 6 with a leaf value of 0, 0, a stem value of 7, and a stem value of 8 with a leaf value of 2, 8.
Key: 1|7 means 17
Answers
Answer:
Answer 2 is right, you welcome :)
Step-by-step explanation:
The stem-and-leaf plot corresponds to the data set {17, 27, 40, 46, 56, 60, 82, 88}.
What is a stem-and-leaf plot?In this plot, the first digit is 'stem' and the last digit is a 'leaf'.
And this plot is used to describe the quantitative data.
The stem-and-leaf plot shows the first digit (the stem) of each data point followed by the second digit (the leaf) of each data point. For example, the first row of the plot shows a stem of 1 and two leaves of 7, which corresponds to the number 17 in the data set. Similarly, the second row shows a stem of 2 and a leaf of 7, which corresponds to the number 27 in the data set.
Therefore, the correct option is:
{17, 27, 40, 46, 56, 60, 82, 88}.
To learn more about the stem-and-leaf plot;
https://brainly.com/question/12857419
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Dean drives 67 miles per hour on the freeway. Which equation can be used to determine the distance, d, dean drives in e hours? ANY ABSURD ANSWERS WILL BE REPORTED IMMEDIATELY, WILL CHOOSE BRAINLIEST
Answers
Answer:
the answer is D
Step-by-step explanation:
67 x e is MPH
HELP ASAP.....Researchers are conducting a survey about what brand of ice cream shoppers prefer. They survey the tenth person who walks into the store and then every fifth person after that. This type of sampling is called
a)random sampling.
b)stratified sampling.
c)systematic random sampling.
d)cluster sampling.
HURRY!!!!
Answers
Answer:
c.systematic random sampling.
Step-by-step explanation:
Using sampling concepts, it is found that this type of sample is called systematic random sampling, which means that option c is correct.
How are samples classified?Samples may be classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.In this problem, after the 1st person is surveyed, every kth person, with k = 5 is surveyed, hence it is a systematic random sampling and option c is correct.
More can be learned about sampling concepts at https://brainly.com/question/25122507
A study investigated whether price affects people's judgment. Twenty people each tasted six cabernet sauvignon wines and rated how they liked them on a scale of 1 to 6. Prior to tasting each wine, participants were told the price of the wine. Of the six wines tasted, two were actually the same wine, but for one tasting the participant was told that the wine cost $10 per bottle and for the other tasting the participant was told that the wine cost $90 per bottle. The participants were randomly assigned either to taste the $90 wine first and the $10 wine second, or the $10 wine first and the $90 wine second. Differences were calculated by subtracting the rating for the tasting in which the participant thought the wine cost $10 from the rating for the tasting in which the participant thought the wine cost $90.Difference ($90 − $10):3 , 4 ,2 ,2 , 1, 0, 0, 3, 0, 2, 1, 3, 3, 1, 4, 1, 2, 2, 1, −1Carry out a hypothesis test to determine if the mean rating assigned to the wine when the cost is described as $90 is greater than the mean rating assigned to the wine when the cost is described as $10. Use α = 0.01. (Use a statistical computer package to calculate the P-value. Use μ$90 − μ$10. Round your test statistic to two decimal places, your df down to the nearest whole number, and your P-value to three decimal places)
Answers
Final answer:
To determine if the mean rating assigned to the wine when the cost is described as $90 is greater than the mean rating assigned to the wine when the cost is described as $10, a hypothesis test is conducted.
Explanation:
To determine whether the mean rating assigned to the wine when the cost is described as $90 is greater than the mean rating assigned to the wine when the cost is described as $10, a hypothesis test is conducted. The null hypothesis assumes that the mean rating difference is not greater than zero, while the alternative hypothesis assumes that the mean rating difference is greater than zero.
A one-sample t-test is used, and the test statistic is calculated by dividing the mean difference of the ratings by the standard error. The degrees of freedom are determined by the sample size minus 1.
The resulting test statistic is compared to the critical value from the t-distribution with the given alpha level. If the test statistic is greater than the critical value, the null hypothesis is rejected, indicating that there is sufficient evidence to conclude that the mean rating assigned to the $90 wine is greater than the mean rating assigned to the $10 wine.
a number written in the form a+bi is called a __ number
Answers
because it consists of a real number which is “a” and an imaginary number which is “bi”
P(A) = 0.14. P(B) = 0.24, and P(A and B) = 0.19. Find P(A given B). Round your
answer to the nearest hundredth (2 decimal places). *
Answers
Answer: The required probability is 0.79
Step-by-step explanation:
Given: P(A) = 0.14
P(B) = 0.24
P(A and B) = 0.19
To find: P(A given B)
The conditional probability of an event A is the probability that the event will occur given the knowledge of an already occurred event B and is denoted by
[tex]P(A/B)[/tex] or [tex]P(A \text { given } B)[/tex] where the value of [tex]P(A/B)= \dfrac{P(A \text { and } B)}{P(B)}[/tex]
So we have
[tex]P(A/B) = \dfrac{0.19}{0.24} \approx 0.79[/tex]
Hence ,the required probability is 0.79
If i had 200 brainliest and you give me 20 more how many would I have
Brainliest for who ever gets it right
Answers
Answer:
220
Step-by-step explanation:
Initial number of brainliest = 200
Additional given by me = 20
So,
Total number of brainliest = 200 + 20 = 220