Answer:40 hr and 35 hr
Step-by-step explanation:
Given
Harris family sprinkler output rate is [tex]20\ L/\text{per hour}[/tex]
and Baker family sprinkler output rate is [tex]35\ L/\text{per hour}[/tex]
Total output of two is [tex]2025\ L[/tex]
Suppose Harris family sprinkler used for [tex]t_1[/tex] time and Baker family for [tex]t_2 [/tex]time then
[tex]20\times t_1+35\times t_2=2025\quad \ldots(i)[/tex]
and [tex]t_1+t_2=75[/tex]
[tex]t_1=75-t_2[/tex]
Substitute the value in [tex](i)[/tex]
[tex]\Rightarrow 20\times (75-t_2)+35t_2=2025[/tex]
[tex]\Rightarrow 1500-20t_2+35t_2=2025[/tex]
[tex]\Rightarrow 15t_2=525[/tex]
[tex]\Rightarrow t_2=\frac{525}{15}[/tex]
[tex]\Rightarrow t_2=35\ hr[/tex]
[tex]\therefore \ t_1=75-35=40\ hr[/tex]
Therefore Harris family use [tex]40\ hr[/tex] of sprinkler and Baker family use [tex]35\ hr[/tex] of sprinkler
A set simbols that expresses a mathematical rule is called a?
revenge! hope that helps! thank you for my points back!
"Her eyes shone as bright as the sun" is an example of
Is it a simile of idiom
Answer:
Similie
Step-by-step explanation:
A similie is a comparison using like or as
An idiom however is a group of words established by usage as having a meaning not deducible from those of the individual words
reading this statement, its saying "Her eyes shone as bright as the sun"
the caparison is between her eyes and the bright sun
therefore making this a similie
Hope this helps
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Based on the information given, the expression is a simile.
A simile simply means a figure of speech that is used in comparing something with another thing.In this case, "Her eyes shone as bright as the sun" is an example of a simile. The eyes were compared to the sun.
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At a local community college, 62% of all freshmen take both Statistics and English. What percent of freshmen taking Statistics are taking English if 76% of freshmen are taking Statistics?
(1) 18% (3) 82%
(2) 62% (4) 94%
Answer:
(3) 82%
Step-by-step explanation:
.62/.76=.8157894737 which when rounded is 82%.
If 76 percent of freshmen take Statistics, the percentage of freshmen who take English is 82 percent. Option B is correct.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.
The percent of freshmen taking Statistics are taking English if 76% of freshmen are taking Statistics is found as;
The percent of freshmen taking Statistics are taking English if 76% of freshmen are taking Statistics is found as;
[tex]\rm \% S=\frac{.62}{.76} \times 100 \\\\ \% S=82\%[/tex][tex]% STATICS = \frac{.62}{.76} \times 100 \\\\ % STATICS = 81.5 \%[/tex]
Sixty-two percent of all freshmen at a nearby community college take both Statistics and English. If 76 percent of freshmen take Statistics,
Hence, the percentage of freshmen who take English is 82 percent.
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Jamie’s car is 9 yards long. Joey’s car is 27 feet long. When you line them up one in front of the other, how long are they together? (Answer in yards)
Answer:
First, our answer is 18 yards long.
Step-by-step explanation:
It is 18 yards long because first, we have 9, the length of Jamie's car. Joey's car length is 27 feet. Then, since 1 foot converted is 0.333333...., it is very hard to convert so i turn it in to 9 foot converted into 3 yards. Then, both sides multiply by 3 so 27 foot equals to 9 yards. 9 yards+9 yards equals 18 yards.
Hope it helps Hailey!
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The double number line shows that a water park allows 18 people to go down a giant water slide in three minutes. Select the double number line that correctly label the number of people that can go down the slide in one, two, and four minutes.
Answer: B
Step-by-step explanation:
Firstly, we identify the number of people that can use the slide per minute, which is 6. Using this, we find that for 1 minute it's 6 people, for 2 minutes it's 12 people and for 4 minutes it's 24 people.
Explanation:The question provides us that 18 people can go down the water slide in 3 minutes. This suggests that every minute, 18 ÷ 3 = 6 people can go down the slide. So, for the double number line, we would show:
1 minute: 6 people 2 minutes: 6 x 2 = 12 people 4 minutes: 6 x 4 = 24 people
This 'per minute' basis helps in understanding and calculating the number of people going down the slide at different time intervals.
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X^2-4/x-8 help please
Answer:
-3
Step-by-step explanation:
Put 4 where x is, and do the arithmetic.
(4^2 -4)/(4 -8) = (16 -4)/(-4) = 12/-4 = -3
The value of the expression is -3 for x=4.
Determine the intercepts of the line. y = − 7 x + 3 y=−7x+3
Answer:
x intercept (3/7, 0) or (0.429, 0)
y intercept (0, -3)
Step-by-step explanation:
According to a study conducted in one city, 34% of adults in the city have credit card debts of more than $2000. A simple random sample of n equals 350 adults is obtained from the city. Describe the sampling distribution of ModifyingAbove p with caret, the sample proportion of adults who have credit card debts of more than $2000. Round to three decimal places when necessary. A. Approximately normal; mu Subscript pequals0.34, sigma Subscript pequals0.001 B. Binomial; mu Subscript pequals119, sigma Subscript pequals8.862 C. Approximately normal; mu Subscript pequals0.34, sigma Subscript pequals0.025 D. Exactly normal; mu Subscript pequals0.34, sigma Subscript pequals0.025
Answer:
2000*24%=680\
Step-by-step explanation:
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 15 in. long and 7 in. wide, find the dimensions (in inches) of the box that will yield the maximum volume. (Round your answers to two decimal places if necessary.) smallest value in in largest value in
Answer:
Length l = 15 - 2x = 15 - 2(1.5) = 12.00 in
Breadth b = 7 - 2x = 7 - 2(1.5) = 4.00 in
Height h = x = 1.50 in
Step-by-step explanation:
The volume of a box can be written as;
V = l×b×h
Where;
Length = l
Breadth = b
Height = h
Let x represent the length of the cube cut out of the four edges.
Using the attached image;
Length l = 15 - 2x
Breadth b = 7 - 2x
Height h = x
Substituting the values to the volume equation;
V = (15-2x)(7-2x)(x)
V = 105x - 30x^2 - 14x^2 + 4x^3
V = 105x - 44x^2 + 4x^3
At Maximum volume, V' = dV/dx = 0
V' = 105 - 88x + 12x^2 = 0
Solving the quadratic equation, we have;
x = 5.83 or x = 1.50
x cannot be 5.83 since 2x > 7 (greater than the breadth of cardboard)
Therefore ;
Length l = 15 - 2x = 15 - 2(1.5) = 12.00 in
Breadth b = 7 - 2x = 7 - 2(1.5) = 4.00 in
Height h = x = 1.50 in
Dale says the ratios 3:5 and 2:10 are equivalent. Is he correct?
Answer:
Dale says the ratios 3:5 and 2:10 are equivalent.
He is wrong.
Let's compare the two ratios by converting them into the new forms which have the same denominator.
3/5 = 6/10
2/10 = 2/10
6/10 > 2/10 => 3/5 > 2/10
Hope this helps!
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[tex] \sqrt{4 - {x}^{2}dx } [/tex]
Answer:
do you know what x or dx =
Step-by-step explanation:
For a Christmas and New Year's week, the National Safety Council estimated that 500 people would be killed and 25,000 injured on the nation's roads. The NSC claimed that 50% of the accidents would be caused by drunk driving. A sample of 120 accidents showed that 67 were caused by drunk driving. Use these data to test the NSC's claim with LaTeX: \alphaα=0.05. What is the value of the test statistic used for this?
Answer:
We conclude that 50% of the accidents would be caused by drunk driving.
Step-by-step explanation:
We are given that the NSC claimed that 50% of the accidents would be caused by drunk driving.
A sample of 120 accidents showed that 67 were caused by drunk driving.
Let p = percentage of the accidents caused by drunk driving.
So, Null Hypothesis, [tex]H_0[/tex] : p = 50% {means that 50% of the accidents would be caused by drunk driving}
Alternate Hypothesis, [tex]H_A[/tex] : p [tex]\neq[/tex] 50% {means that % of the accidents that would be caused by drunk driving is different from 50%}
The test statistics that would be used here One-sample z proportion statistics;
T.S. = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of accidents caused by drunk driving = [tex]\frac{67}{120}[/tex] = 0.56
n = sample of accidents = 120
So, test statistics = [tex]\frac{0.56-0.50}{\sqrt{\frac{0.56(1-0.56)}{120} } }[/tex]
= 1.324
The value of z test statistics is 1.324.
Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to our null hypothesis.
Therefore, we conclude that 50% of the accidents would be caused by drunk driving.
Rewrite the function by completing the square f(x)=x^2+2x+26
[tex] {x}^{2} + 2x + 26 = ( {x}^{2} + 2x + 26- 25) + 25 = \\ = (x + 1) ^{2} + 25[/tex]
The function f(x) = x² + 2x = 26 can be written as f(x) = (x + 1)² = 27.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as it's degree is two.
Given, f(x) = x² + 2x = 26.
f(x) = (x)² + 2(x)(1) + 1² = 26 + 1.
f(x) = (x + 1)² = 27.
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how many feet of outdoor carpet is needed for a hole measuring 6ft,2ft,5ft,2ft,3ft,3ft,and 12ft?
The superintendent of a large school district, having once had a course in probability and statistics, believes that the number of teachers absent on any given day has a Poisson distribution with parameter µ.
Use the accompanying data on absences for 50 days to obtain a 95% large sample CI for µ.
Absences: 0 1 2 3 4 5 6 7 8 9 10
Frequency: 2 3 8 11 8 7 6 2 1 1 1
[Hint: The mean and variance of a Poisson variable both equal m, so
Z = (X - µ)/√(µ/n),
has approximately a standard normal distribution. Now proceed as in the derivation of the interval for p by making a probability statement (with probability 1- a) and solving the resulting inequalities for µ.
You first calculate the sample mean, or μ_bar, of the data. Given it's a Poisson distribution, the mean is equal to the variance, giving your standard deviation. Finally, for a 95% CI, you apply the Z score to the formula μ_bar ± Z*(sqrt(μ_bar/n)) to obtain your confidence interval.
Explanation:The subject is related to Poisson distribution and the calculation of a confidence interval (CI) for the population mean (µ).
Firstly, we calculate the sample mean that is the total number of instances divided by the number of days:
(0*2 + 1*3 + 2*8 + 3*11 + 4*8 + 5*7 + 6*6 + 7*2 + 8*1 + 9*1 + 10*1)/50
This gives us the sample mean, µ_bar.
Given the data follows a Poisson distribution, the mean and the variance are equal (µ = variance). For a Poisson distribution, the variance is equal to µ divided by n, hence we get the standard deviation as sqrt(µ/n).
For a 95% CI, Z = 1.96 (from the standard normal table). Our CI will therefore be µ_bar ± Z*(sqrt(µ_bar/n)).
Since n is large, the distribution can be assumed to be approximately normal and the CI can be treated as reliable.
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To calculate a 95% confidence interval for a Poisson distributed data set, first calculate the sample mean. Consider the variance of Poisson equals to its mean, the standard error would be square-root of (mean divided by sample size). Using z-score of ±1.96 for 95% confidence level, solve for mean in both inequalities will give the interval.
The question pertains to deriving a 95% confidence interval for the mean (µ) of a Poisson distributed data set. In this case, the data set provided represents the number of teacher absences in a school district over 50 days.
Firstly, you will need to calculate the sample mean by multiplying each absence by its frequency, sum those up, then divide the sum by the total number of observations. This serves as an estimator for the Poisson mean µ.
Considering that the variance of a Poisson variable equals to its mean µ. The standard error would then be √(µ/n), where n is the number of observations. For a 95% interval, Z should be approximately ±1.96.
The confidence interval can be calculated using the standard formula for a large sample size:
Z = ±1.96 = (X - µ)/√(µ/n)
Solving for µ in both inequalities will give you the confidence interval.
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2.The mean area of several thousand apartments in a new development is advertised to be 1,100 square feet. A consumer advocate has received numerous complaints that the apartments are smaller than advertised. A state building inspector is sent out to measure a sample of apartments. State the null and the alternative hypothesis to test this claim.
Answer:
Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 1,100 square feet
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 1,100 square feet
Step-by-step explanation:
We are given that the mean area of several thousand apartments in a new development is advertised to be 1,100 square feet.
A consumer advocate has received numerous complaints that the apartments are smaller than advertised.
Let [tex]\mu[/tex] = mean area of several apartments.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 1,100 square feet
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 1,100 square feet
Here, null hypothesis states that the mean area of apartments are same as advertised.
On the other hand, alternate hypothesis states that the mean area of apartments are smaller than advertised.
So, this would be the appropriate null and the alternative hypothesis to test this claim.
Solve for x: x^2 = 3x + 10
Clarissa has just completed her second semester in college. She earned a grade of Upper D in her 4-hour linear algebra course, a grade of Upper D in her 5-hour sociology course, a grade of Upper D in her 2-hour engineering course, and a grade of Upper D in her 3-hour philosophy course. Assuming that A equals 4 points, B equals 3 points, C equals 2 points, D equals 1 point, and F is worth no points, determine Clarissa's grade-point average for the semester.
Clarissa's grade-point average for the semester is 1.
We have,
To calculate Clarissa's grade point average (GPA) for the semester, we need to assign points to each grade and calculate the weighted average.
Given the grade scale: A = 4 points, B = 3 points, C = 2 points, D = 1 point, and F = 0 points.
Clarissa earned the following grades:
Linear Algebra (4 hours): Upper D (D) = 1 point
Sociology (5 hours): Upper D (D) = 1 point
Engineering (2 hours): Upper D (D) = 1 point
Philosophy (3 hours): Upper D (D) = 1 point
To calculate the weighted average, we need to multiply each grade by the number of credit hours for the course and sum them up.
Then, we divide the total by the sum of the credit hours.
Total points = (1 * 4) + (1 * 5) + (1 * 2) + (1 * 3) = 4 + 5 + 2 + 3 = 14
Total credit hours = 4 + 5 + 2 + 3 = 14
GPA = Total points / Total credit hours = 14 / 14 = 1
Therefore,
Clarissa's grade-point average for the semester is 1.
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What is the shortest possible perimeter for an arrangement with an area of 15 square feet
Answer:
The answer is 16 ft
Step-by-step explanation:
The shape with the smallest possible perimeter for a given area is a circle but among quadrilaterals, it's a square. Given an area of 15 square feet, the length of each side of the square would be approximately 3.87 feet, and the perimeter would be approximately 15.49 feet.
Explanation:The disciplines specified here is Mathematics, and the question is related to the correlation between an area and perimeter of a shape. In this case, the shape with the smallest possible perimeter for a given area would be a circle. However, if we only examine quadilateral shapes, then the shape with the minimum possible perimeter would be a square because a square is the quadrilateral that has the maximum area for a given perimeter.
If the area of the square is 15 square feet, then you can determine each side of the square by taking the square root of the area. The square root of 15 is approximately 3.87 feet. Now, to determine the perimeter of the square, you multiply this value by 4 because a square has four sides of equal length, hence perimeter is ~15.49 feet.
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what is the sum of 5/13 + 10/13
Answer:15/13
Step-by-step explanation:
Which of the following is not a way to determine if a relation is a function
Enter 8/10 as hundredths.
Answer:
0.8 or .8
Step-by-step explanation:
multiply the top and bottom by 10
so 8/10=80/100
to get the decimal form, just divide 8 by 10 and it should give you 0.8
The two-way table shows the math and language arts course choices of eighth-grade students at Lana's school
Eighth-Grade Student Course Selections
Honors Mathematics Class
Non-Honors
Mathematics Class
18
72
Honors
English Class
Non-Honors English Class
24
111
What percentage of students who take honors English are taking a non-honors math class?
896
1896
20%
28%
Answer:
its c 20% on e2020
Step-by-step explanation:
There are 264 students going on a field trip to the city. If the school is only taking 8 buses, what is the total number of students that will be on each bus?
272
256
33
34
Answer:
Step-by-step explanation:
Answer:
272
Step-by-step explanation:
You are the manager of a monopoly. A typical consumer's inverse demand function for your firm's product is P = 250- 4Q, and your cost function is TC = 10Q. A. MC is fixed and is equal to $10 (MC=AC=S). MR=250-8Q.
(P=price, Q=quantity of output, TC=total cost, MC=marginal cost, MR=marginal revenue, S=supply)
1)What price the company should choose to get maximum profit if the company will use ordinary pricing strategy?
2)Now suppose the company is thinking about using price discrimination for lower income group of customers. If the company will offer discount of $30 in price to the lower income groups how much additional profit will the company earn? Illustrate graphically.
3)Explain the conditions needed to apply the price discrimination strategy?
Answer:
(1) 240-8Q=0240−8Q=0 (2) 225 (3) it is very necessary that the direct elasticity of demand for a product at a price from several buyers be different significantly; so that customers are easily known, that further goods resale by buyers is not possible
Step-by-step explanation:
Solution
Given that:
(1) TR=∫MR=250Q−4Q
Pr=TR-TC=250Q-4Q² - 10Q=240Q−4Q²
Thus,
Pr =240−8Q
240-8Q=0240−8Q=0
(2) Q=30
Now,
p=250-4 * 30=130
p=100
so.
100=250−4Q
Q=37.5
Pr=240×37.5−4×37.5²
=3375
Hence,
ΔPr=3600−3375=225
(3) For the execution of price discrimination by a monopolist, it is very important that the direct elasticity of demand for a product at a price from different buyers be remarkably different; so that customers are easily known, that further goods resale by buyers is not done.
find the gcf of
24, 14, 21
Answer:
1
Step-by-step explanation:
All the numbers provided can have a factor of 1.
eg.)
1*24=24
1*14=14
1*21=21
This is because there is only one factor they all commonly share, 1.
Answer:
The answer is 1.
Step-by-step explanation:
Nothing else divides into the numbers other than 1.
Hope this helped!!
1. Find the area of the shaded sector.
- 12m
74
Answer:
888
Step-by-step explanation:
Im pretty sure this is the answer, if helpful please mark me as brainiest :>
If f(x) = 3x+5 and g(x) = -2x^2-5x+3 fins (f+g)(x)
Answer:
f(x) + g(x) = -2x^2 - 2x + 8
Step-by-step explanation:
Given: f(x) = 3x+5 and g(x) = -2x^2-5x+3
Find f(x) + g(x)
f(x) + g(x) = 3x + 5 + (-2x^2 - 5x + 3)
f(x) + g(x) = 5 + -2x^2 - 2x + 3
f(x) + g(x) = -2x^2 - 2x + 8
Answer:
(f+g)(x) = -2x^2 -2x +8
Step-by-step explanation:
(f+g)(x) = f(x) +g(x)
= (3x +5) +(-2x^2 -5x +3)
(f+g)(x) = -2x^2 -2x +8
Dan had 175 dollars to spend on 6 books. After
buying them he had 13 dollars. How much did each book cost ?
Answer:
27 dollars
Step-by-step explanation:
On one side he had 175
One the other side he has 6 books and 13 dollars
175 = 6b+13
Subtract 13 from each side
175 -13 = 6b+13-13
162 = 6b
Divide each side by 6
162/6 = 6b/6
27 = b
Each book is 27 dollars
What is the value of tan157.5°
Precalc/Trig is easy. SO please mark me as BRAINLIEST