Final Answer:
The test statistic for the difference in proportions between the metropolitan area and the U.S. population is approximately ( -0.11 ). Since this value does not exceed the critical value of [tex]\( \pm 1.96 \)[/tex] at the 0.05 significance level, there is insufficient evidence to conclude a significant difference. Therefore, we fail to reject the null hypothesis.
Step-by-step explanation:
To determine whether there is sufficient evidence to conclude that a difference exists between this metropolitan area and the larger U.S. population, we can perform a hypothesis test for the difference in proportions.
Let:
[tex]\( p_1 \)[/tex] be the proportion of women in the metropolitan area.
[tex]\( p_2 \)[/tex] be the proportion of women in the larger U.S. population.
The null hypothesis [tex](\( H_0 \))[/tex] is that there is no difference between the proportions, and the alternative hypothesis [tex](\( H_1 \))[/tex] is that there is a significant difference.
The formula for the test statistic for the difference in proportions ( z ) is given by:
[tex]\[ z = \frac{(\hat{p}_1 - \hat{p}_2)}{\sqrt{p(1-p)\left(\frac{1}{n_1} + \frac{1}{n_2}\right)}} \][/tex]
Where:
[tex]\( \hat{p}_1 \)[/tex] and [tex]\( \hat{p}_2 \)[/tex] are the sample proportions of women in the metropolitan area and the U.S. population, respectively.
( p ) is the combined sample proportion.
[tex]\( n_1 \)[/tex] and [tex]\( n_2 \)[/tex] are the sample sizes for the metropolitan area and the U.S. population, respectively.
First, let's calculate [tex]\( \hat{p}_1 \)[/tex], [tex]\( \hat{p}_2 \)[/tex], ( p ), and then plug them into the formula to find the test statistic.
[tex]\[ \hat{p}_1 = \frac{112}{150} = 0.7467 \][/tex]
[tex]\[ \hat{p}_2 = \frac{150}{200} = 0.75 \][/tex]
[tex]\[ p = \frac{112 + 150}{150 + 200} = \frac{262}{350} = 0.7486 \][/tex]
Now, we can calculate the test statistic:
[tex]\[ z = \frac{(0.7467 - 0.75)}{\sqrt{0.7486(1-0.7486)\left(\frac{1}{150} + \frac{1}{200}\right)}} \][/tex]
Calculate the values and round the test statistic to two decimal places. If the absolute value of the test statistic is greater than the critical value for a two-tailed test at the 0.05 significance level, we reject the null hypothesis.
Note: The critical value for a two-tailed test at the 0.05 significance level is approximately [tex]\( \pm 1.96 \)[/tex].
Five is the quotient divided by some number. What is the number?
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:
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
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.
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)
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.
Which statement is correct regarding the measurements of the parallelogram?
On a coordinate plane, a parallelogram has points (16, 4), (10, 1), (2, 1), (8, 4).
The base is 6 and the height is 3, so the area is 6 (3) = 18 square units.
The base is 8 and the height is 3, so the area is 8 (3) = 24 square units.
The base is 8 and the height is 4, so the area is 8 (4) = 32 square units.
The base is 8 and the height is 6, so the area is 8 (6) = 48 square units.
Answer:
The base is 8 and the height is 3, so the area is 8 (3) = 24 square units.
Step-by-step explanation:
The area of the parallelogram is given by the following expression:
[tex]A = \|\vec u\times \vec v\|[/tex]
The vectors are, respectively:
[tex]\vec u = (10-2, 1 - 1,0-0)[/tex]
[tex]\vec u = (8,0,0)[/tex]
The base of the parallelogram is 8 units.
[tex]\vec v = (8-2, 4-1,0-0)[/tex]
[tex]\vec v = (6,3,0)[/tex]
The height of the parallelogram is 3 units.
The cross product of both vectors is:
[tex]\vec u \times \vec v = (0,0,24)[/tex]
The area of the parallelogram is given by the norm of the resulting vector:
[tex]\|\vec u \times \vec v\| = 24[/tex]
Answer:
B. The base is 8 and the height is 3, so the area is 8 (3) = 24 square units.the light from the moon in lux on the night of t^th dat of 2016 is
L(t)= .25-sin (2pi(t-2)/28.5)
What is the period of the light from the moon?
Answer:28.5
Step-by-step explanation:
!Please solve and help!!!! I don't know what it is!!
Answer:
see below
Step-by-step explanation:
This problem could have 2 solutions
We could be given two legs
a^2 + b^2 = c^2
5^2 +13^2 = c^2
25+169 = c^2
194 = c^2
Taking the square root on each side
sqrt(194) = c
Or the 13 could be the hypotenuse
a^2 + 5^2 = 13^2
a^2 +25 = 169
a^2+25-25 = 169-25
a^2 = 144
Taking the square root of each side
a = 12
Major Motors produces its Trans National model in three plants located in Flint, Michigan; Fresno, California; and Monterrey, Mexico. Dealers receive cars from regional distribution centers located in Phoenix, Arizona; Davenport, Iowa; and Columbia, South Carolina. Anticipated production at the plants over the next month (in 100s of cars) is 43 at Flint, 26 at Fresno, and 31 at Monterrey. Based on firm orders and other requests from dealers, Major Motors has decided that it needs to have the following numbers of cars at the regional distribution centers at month’s end: Phoenix, 26; Davenport, 28; and Columbia, 30. Suppose that the cost of shipping 100 cars from each plant to each distribution center is given in the following matrix (in $1,000s):
From To
Phonix Devenport Columbia
Flint 12 8 7
Fresno 7 14 21
Monterrey 18 22 31
Convert the above problem into a balanced one by adding a row or column and compute the solution provided by the Greedy Heuristic.
Answer:
See attached image for a balanced one by adding a row
Final answer:
The question involves converting an unbalanced transportation problem for Major Motors into a balanced one and solving it using the Greedy Heuristic. It requires adding a dummy destination with zero shipping cost and then allocating the supply to demand sites starting from the lowest shipping costs.
Explanation:
The student's question pertains to creating a balanced transportation problem from the given unbalanced scenario involving Major Motors and using the Greedy Heuristic to find a solution. The three plants located in Flint, Fresno, and Monterrey have production capacities of 43, 26, and 31 (in hundreds of cars) respectively, and the distribution centers in Phoenix, Davenport, and Columbia have requirements of 26, 28, and 30 (in hundreds of cars) respectively.
First, we need to balance the problem by equating total supply with total demand. The total supply from all plants is 43 + 26 + 31 = 100 (in hundreds of cars), and the total demand from all distribution centers is 26 + 28 + 30 = 84 (in hundreds of cars). We will need to add a dummy distribution center with a demand of 16 (in hundreds of cars) to balance the problem, with zero shipping cost to this dummy destination from all plants. Now, we apply the Greedy Heuristic, which involves selecting the lowest cost choices first and fulfilling demand as supply allows.
We start by assigning cars to the distribution centers from the cheapest shipping options available. Let's illustrate a step, shipping from Flint to Columbia as it has the lowest cost of $7,000 for 100 cars. Continuing this process until all demands are met will provide us with an approximate solution to the transportation problem.
Help! Best answer = Brainiest.
Answer:
Step 2
Step-by-step explanation:
Maria took a history test with 25 questions on it.
She correctly answered 22 questions.
Write her test score as a percent
Maria's test score is calculated by dividing the number of correct answers (22) by the total number of questions (25) and then multiplying by 100, resulting in a score of 88%.
Explanation:Maria took a history test with 25 questions and correctly answered 22 questions. To find her test score as a percent, you divide the number of correct answers by the total number of questions and then multiply the result by 100. So, Maria's score would be (22 correct answers / 25 total questions) × 100 = 88%.
This is how it calculates:
First, write the number of correct answers over the total number of questions as a fraction: 22/25.
Then, convert this fraction to a decimal by dividing 22 by 25, which equals 0.88.
Finally, multiply the decimal by 100 to get the percentage. So, 0.88 × 100 equals 88%.
Maria's test score expressed as a percent is 88%.
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
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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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). *
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
simplify the expression. 18+12x.
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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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
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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What are the zeros of the quadratic function f(x) = 2x2 + 16x – 9?
x= -4- and x = -4+
x=4 - 125 and x = 4+ / 25
x=-4-1 and x = 4+
• x= -4- and x = -4+
The zeros of the quadratic function f(x) = 2x² + 16x - 9 are obtained by using the quadratic formula, resulting in x = -4 + √{82} and x = -4 - √{82}.
To find the zeros of the quadratic function f(x) = 2x² + 16x - 9, we can either factor the quadratic, complete the square, or use the quadratic formula. The function provided is already in the standard form of a quadratic equation, ax² + bx + c = 0. For this equation, a = 2, b = 16, and c = -9.
To use the quadratic formula, x = (-b√{b² - 4ac}) / (2a), we substitute the values of a, b, and c into the formula:
x = (-(16) √{(16)² - 4(2)(-9)}) / (2(2))
x = (-16 √{256 + 72}) / 4
x = (-16 √{328}) / 4
x = (-16 √{82}) / 4
x = -4 √{82}
Therefore, the zeros of the function are x = -4 + √{82} and x = -4 - √{82}.
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?
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.
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
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:
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.?
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!!!
If the ratio between the radii of the two spheres is 3:5, what is the ratio of
their volumes?
Write the following expression as a single logarithm with coefficient 1. log910 − log9 1 2 − log94
The answer is A. Log 9 5
I got it right on ed .
The value of the expression log₉10-log₉(1/2)-log₉4 is log₉5.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is
log₉10-log₉(1/2)-log₉4
if we observe the base of logs are same
so, we can use property of logarithms
[tex]log_{a} b+log_{a} c=log_{a} bc[/tex]
log₉10-log₉(1/2×4)
Now we use the property of logarithms of subtraction.
log₉10-log₉(2)
log₉(10/2)
log₉5
Hence, the value of the expression log₉10-log₉(1/2)-log₉4 is log₉5.
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A park has an area of 12.5 sq miles and a width of 5 miles. What is the perimeter of the park?
Answer:
15
Step-by-step explanation:
12.5/5=2.5
2(2.5)+2*5=
5+10=15
Final answer:
To calculate the perimeter of the park with an area of 12.5 sq miles and a width of 5 miles, you divide the area by the width to get the length and then apply the formula P = 2(l + w). The perimeter of the park is 15 miles.
Explanation:
The question pertains to finding the perimeter of a park given its area and width. To find the perimeter, we need to know both the length and the width of the park. Since the area of the park is 12.5 sq miles and the width is 5 miles, we can find the length by dividing the area by the width, which gives us a length of 2.5 miles. Once we have both dimensions, we can use the formula for perimeter P = 2(l + w), where l is the length and w is the width.
Using the formula, the perimeter P = 2(2.5 miles + 5 miles) = 2(7.5 miles) = 15 miles. So, the perimeter of the park is 15 miles.
What is the exact value of cot (3 pi/4) ?
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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find the center and the radius of the circle with the equation x^2 -2x+y^2 +4y +1
Answer:
Center = ( 1,-2)
radius = 2
Answer:
^D
Step-by-step explanation:
Solve this equation 3/5(x-10)=18-4x-1 combine like terms that are on the same side of the equation
Answer:
x=5
Step-by-step explanation:
3/5(x-10)=18-4x-1
3/5x-30/5=18-4x-1
3/5x-6=18-4x-1
+6 +6
3/5x=23-4x
+4x +4x
4 3/5x=23
23/5x=23
23/5 divide , so you actually multiply both sides by the reciprocal 5/23
x=5
The solution of equation will be : x=5
Given,
3/5(x-10)=18-4x-1
Here,
Multiply 3/5 inside the bracket,
3/5(x-10)=18-4x-1
3/5x-30/5=18-4x-1
3/5x-6=18-4x-1
Now solve like terms individually.
3/5x=23-4x
4x + 3/5x=23
23/5x=23
x=5
Thus the value of x is 5 .
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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
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}.
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Multiply the fractions and reduce to lowest terms: 16 x 5/9 x 2 1/2
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.
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!!!!
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
Simplify this complex fraction
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
Suppose that the population of the scores of all high school seniors that took the SAT-M (SAT math) test this year follows a normal distribution with unknown population mean and known standard deviation 100. You read a report that says, "On the basis of a simple random sample of 100 high school seniors that took the SAT-M test this year, a confidence interval for population mean is 512.00 ± 25.75." The confidence level for this interval is
Answer:
[tex] 25.75 = z_{\alpha/2} \frac{100}{\sqrt{100}}[/tex]
And solving for the critical value we got:
[tex] z_{\alpha/2}= \frac{25.75*10}{100} = 2.575[/tex]
Now we need to find the confidence level and for this case we can use find this probability:
[tex] P(-2.575< Z<2.575)= P(Z<2.575) -P(Z<-2.575)[/tex]
And using the normal standard distribution or excel we got:
[tex] P(-2.575< Z<2.575)= P(Z<2.575) -P(Z<-2.575)= 0.9950-0.0050= 0.99[/tex]
So then the confidence interval for this case is 99%
Step-by-step explanation:
For this case the random variable X is the scores for the SAT math scores and we know that the distribution for X is normal:
[tex] X\sim N(\mu , \sigma =100)[/tex]
They select a random sample of n =100 and they construc a confidence interval for the true population mean of interest and they got:
[tex]512.00 \pm 25.75[/tex]
for this problem we need know that the confidence interval for the true mean when the deviation is known is given by:
[tex]\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error is given by:
[tex] ME =z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]
And the margin of error for this interval is [tex] ME = 25.75[/tex] then we can solve for the critical value in order to find the confidence level:
[tex] 25.75 = z_{\alpha/2} \frac{100}{\sqrt{100}}[/tex]
And solving for the critical value we got:
[tex] z_{\alpha/2}= \frac{25.75*10}{100} = 2.575[/tex]
Now we need to find the confidence level and for this case we can use find this probability:
[tex] P(-2.575< Z<2.575)= P(Z<2.575) -P(Z<-2.575)[/tex]
And using the normal standard distribution or excel we got:
[tex] P(-2.575< Z<2.575)= P(Z<2.575) -P(Z<-2.575)= 0.9950-0.0050= 0.99[/tex]
So then the confidence interval for this case is 99%
If i had 200 brainliest and you give me 20 more how many would I have
Brainliest for who ever gets it right
Answer:
220
Step-by-step explanation:
Initial number of brainliest = 200
Additional given by me = 20
So,
Total number of brainliest = 200 + 20 = 220
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.
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