the manager of a local recreational center wanted to determine the average amount each consumer spent on traveling to and from the center. on the basis of the findings, the manager was planning on setting the entrance fee. the management noted that customers living at the other side of town had to travel about 15 miles and spent about 20 cents per mile. the manager wanted to be 95% confident of the findings and did not want the margin of error to exceed /- 10 cents. what sample size should the manger use to determine the average travel expenditure
Answer:
The manager should use a sample size of 12 to determine the average travel expenditure
Step-by-step explanation:
Spent about 20 cents per mile. Distance of 15 miles
We have the mean per a distance, so we use the Poisson distribution. In this distribution, the standard deviation is the square root of the mean. So
[tex]\mu = 20*15 = 300, \sigma = \sqrt{300} = 17.32[/tex]
Confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
What sample size should the manger use to determine the average travel expenditure?
This is n for which M = 10. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]10 = 1.96\frac{17.32}{\sqrt{n}}[/tex]
[tex]10\sqrt{n} = 1.96*17.32[/tex]
[tex]\sqrt{n} = \frac{1.96*17.32}{10}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*17.32}{10})^2[/tex]
[tex]n = 11.52[/tex]
Rounding up
The manager should use a sample size of 12 to determine the average travel expenditure
I need help with my math assignment please
Answer:
angles 1 and 6
Step-by-step explanation:
Answer:
C. angle 2 and angle 7
Step-by-step explanation:
hope this helps, have a nice day :)
Please this is due in like 10 minutes please help me
Answer:
628
Step-by-step explanation:
1) Find the circumference of the wheel (the distance it travels in 1 revolution)
[tex]C=\pi d[/tex] where d is the diameter
Plug in 2 ft as the diameter
[tex]C=(3.14) (2)\\C=6.28[/tex]
Therefore, the circumference of the wheel is 6.28 ft.
2) Multiply the circumference by 100
6.28 × 100
= 628 ft
Therefore, Joe would travel 628 feet if his wheel turns exactly 100 complete revolutions in one direction.
I hope this helps!
Helga and Dora were solving the following problem together. A boat left Kyuquot and headed west at 15.5 km/h. A second boat left Kyuquot half an hour later and headed west at 18 km/h. For how many hours did the first boat travel before the second boat overtook it? Both girls used t to represent the time taken by the first boat. However, they disagreed on the equation to model the situation. Helga’s Equation Dora’s Equation 15.5t = 18(t + 0.5) 15.5t = 18(t - 0.5) a) Explain what the expression on each side of each equation represents. b) Which equation is correct? Explain. c) What is the solution to the problem?
Answer:
15.5t=18(t-0.5) is the correct answer
Step-by-step explanation:
if the first boat travels t time then the second traveld t-0.5 time to take over
The expression on each side of each equation represent the distance travelled. Hence, 15.5t=18(t-0.5) is the correct answer
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that boat left Kyuquot and headed west at 15.5 km/h.
A second boat left Kyuquot half an hour later and headed west at 18 km/h.
Helga’s Equation 15.5t = 18(t + 0.5)
Dora’s Equation 15.5t = 18(t - 0.5)
Therefore, if the first boat travels t time then the second travelled
t-0.5 time to take over
To know more about an expression follow;
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Two accounts earn simple interest . The balance y in dollars in account A after x years can be modeled y = 20x + 400
Hakim is making birdhouses. Each birdhouse uses 7/8 yard of wood. What is the total length of wood Hakim will need to build 5 birdhouses.
Answer: 4 3/8 yards of wood
Step-by-step explanation:
It would be 5 times the ammount needed for one birdhouse so it would be-
7/8 x 5= 35/8 or 4 3/8
According to a survey conducted by the technology market research firm The Radicati Group, U.S. office workers receive an average of e-mails per day (Entrepreneur magazine website). Assume the number of e-mails received per hour follows a Poisson distribution and that the average number of e-mails received per hour is five. a. What is the probability of receiving no e-mails during an hour (to 4 decimals)
Answer:
the probability is 0.0067
Step-by-step explanation:
The computation of the probability of receiving no e-mails during an hour is shown below;
Let us assume x be the number of emails received during an hour
Now the probability of receiving no e-mails is
= e^-5 × 5^0÷ 0!
= e^-5 × 1 ÷ 1
= e^-5
= 0.00674
= 0.0067
Hence, the probability is 0.0067
HELP ASAP!! I will give brainlist!! THANK YOU!
Answer:
dont trust me but i think its subtraction or division
Step-by-step explanation:
Please answer the question in the pic and make the answer clear pleaseeeee I'm giving brainliest out as welll
Answer this question for me please
Answer:
i believe the answer is D
Step-by-step explanation:
please help asap ! no scam links or scam comments for points or reported.
Answer:
C
Step-by-step explanation:
it is -25x X= each time he goes rock climbing
Natalie can type 54 words per minute when transcribing an audio recording. Natalie needs to transcribe an audio recording with 7,938 words.
How many minutes will it take Natalie to transcribe the recording?
Enter your answer in the box.
min
Answer:
147 minutes (2 hours, 27 minutes)
Step-by-step explanation:
Can someone plz help me
Answer:
47.5 in²
Step-by-step explanation:
Answer:
47.5 in²
Step-by-step explanation:
A = a+b
/2h = 7+12
/2·5 = 47.5
The domain of y = f(x) = _ is
(a) R - {0}
(b) R
(c) (-2,1)
(d) (-1.1)
Answer:
The domain of a function is the set of all possible x values that satisfy the equation. We cannot answer this question without first knowing what the equation for f(x) is.
Step-by-step explanation:
Take for example the function y = f(x) = [tex]x^{2} +3[/tex]. Here, you can plug in literally any value for x and still get our a real number. Thus, the domain of f(x) is (-∞, ∞).
However, if your function is y = f(x) = [tex]\frac{2}{\sqrt{x+3} }[/tex] , not every x value is acceptable. First, we cannot have the denominator (bottom part) of the fraction be zero, because division by zero is undefined. Thus, x = -3 is not an acceptable value for x.
We also cannot take the square root of a negative number. Thus, we have the rule that x + 3 must be greater than or equal to zero.
[tex]x+3 > 0\\\\x > -3\\[/tex]
Normally we would use greater than or equal to zero, but because this is in the denominator, we don't want it to equal zero (and thus x = -3 is not acceptable).
So, the domain of x is (-3, ∞). The parenthesis tell us we do not include the negative three and we do not include infinity. In other words, the domain of x is all numbers greater than -3 but less than infinity.
So, first look at your equation for f(x), then see which values of x don't break the rules of math like division by zero or square roots of negative numbers. Good luck!
An engineer is designing a fuel tank in the shape of a cylinder. The tank must have a volume of 3,500 cubic inches. The height of the cylinder must be twice the radius. What is the approximate radius of the cylinder?
8.2 inches
10.4 inches
12.1 inches
23.6 inches
By using the formula for the volume of a cylinder we will see that the approximate radius must be 8.2 inches.
How to get the radius of the cylinder?
Remember that for a cylinder of radius R and height H the volume is:
[tex]V = 3.14*R^2*H[/tex]
In this case, the height is twice the radius, so we have:
H = 2R
[tex]V = 3.14*R^2*2R = 6.28*R^3[/tex]
And we know that the volume must be 3,500 in^3, now we can replace that and solve for R, we will get:
[tex]3,500 in^3 = 6.28*R^3[/tex]
[tex](3,500 in^3/6.28)^{1/3} = R = 8.2 in[/tex]
The approximate radius of the cylinder must be 8.2 inches.
If you want to learn more about cylinders you can read:
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Sue receives a monthly salary of $500. She also receives a sales commision of
8% of her total sales. Her total sales this week were $2,500. Find her
commission and total sales.
Answer:
2000 because you got to subtract
You recently obtained a job with a sports analytics firm, and your first assignment is to write a report evaluating early evidence behind predictions for the 2019-20 NBA season. You will use your knowledge of hypothesis testing to assess the predictions. When conducting a hypothesis test for the population mean, you will not know the population standard deviation, so you will have to use the sample standard deviation instead. How will this affect the process
Answer:
It will affect the process in the sense that the sample population size will be unknown due to the fact that we don't know the population standard deviation.
Step-by-step explanation:
We are told that you do not know the population standard deviation. Thus, the sample population will not be able to be calculated because this sample standard deviation given will not suffice and we need the population standard deviation to be able to calculate the sample population size.
The absence of population standard deviation will result in performing the one mean t test. The one mean t test gives an insight of the deviation of values from the mean.
For the approval or rejection of the null hypothesis, hypothesis testing has been performed. For performing a test, a hypothesis has been assigned based on the results we wish to obtain. The rejection of null hypothesis leads to acception of the alternate hypothesis, while the approval of the null hypothesis results in the rejection of the alternate hypothesis.
For performing the null hypothesis test, there has been the first step to be the requirement of the hypothesis. The hypothesis has been tested based on the population size. And the test has been performed.
The absence of population standard deviation will result in performing the one mean t test.
The one mean t test gives an insight of the deviation of values from the mean. It has been used for the determination of random data sample, normal distribution, range of sampling.
For more information, refer to the link given below:
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Lin says that an octagon has six sides. Chris says that it has eight sides. Whose statement is correct?
Answer:
Chris is correct. All octagons have eight sides and eight angles.
Please help me I can't solve this question I would really appreciate it
Answer:
[tex]\frac{3}{11}[/tex], 28, [tex]\frac{4}{11}[/tex]
Step-by-step explanation:
For the first one, you would subtract [tex]\frac{5}{11}[/tex] from [tex]\frac{8}{11}[/tex], giving you [tex]\frac{3}{11}[/tex].
For the second one, you would subtract 22 from 50, giving you 28.
For the third one, you would subtract [tex]\frac{4}{11}[/tex] from [tex]\frac{8}{11}[/tex], giving you [tex]\frac{4}{11}[/tex].
Hope I helped
Abdul uses 15 1/2 cups of flour to make 3 loaves of bread. At that rate, how many cups of flour would Abdul need to make 4 loaves of bread?
NO ANSWERS FROM UNKNOWN FILES OR I'LL REPORT IT!!!
Alana has $80 in a savings account. The interest rate is 5% per year and is not compounded. How much interest will she earn in 1 year?
Answer:
Answer:
I = $ 1,937.50
Step-by-step explanation:
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 3.875%/100 = 0.03875 per year,
then, solving our equation
I = 10000 × 0.03875 × 5 = 1937.5
I = $ 1,937.50
The simple interest accumulated
on a principal of $ 10,000.00
at a rate of 3.875% per year
for 5 years is $ 1,937.50.
I hope this is correct and hope it helps!
(OFFERING 50 POINTS!) PLEASE HELP
You started a dog walking business. You spent $45 in start up costs and charge $12 per hour of
dog walking. How many hours must you walk before you have a minimum of $117?
Answer:
7
Step-by-step explanation:
The population of a country has been increasing for several decades. In 1990, the population was about 263 million people In 2014, the population was about 307 million people Determine the percent in + The country's population increased by about % during this time period
Answer:
The country's population increased by about 16.73% during this time period.
Step-by-step explanation:
Percent increase:
The percent increase is given by the change multiplied by 100 and divided by the initial value.
In 1990, the population was about 263 million people In 2014, the population was about 307 million people.
Change: 307 - 263 = 44
Initial population: 263
Percentage increase:
44*100/263 = 16.73%
The country's population increased by about 16.73% during this time period.
How can you use 1300 divided by 13 to help you find 1,287 divided 13
Answer:
Step-by-step explanation:
This question is about the benefits of estimation.
1300/13 is easy and results in 100.
1287/13 can be approximated by 1300/13: 1287/13 ≈ 100.
Actually, 1287 = 1300 - 13 = 13(99); just subtract 1 from 100.
So: 1287/13 = 1300 - 13 = 1287. A nice bit of mental math!
Find the value of x.
A
D
17
8
х
B.
15
O X
120
17
O X
17
120
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Step-by-step explanation:
Dooren can type 2 pages of her report in 5 minutes. At this rate, how many pages could she type in half an hour?
Answer:
60 pages
Step-by-step explanation:
2pages = 5min
30 x 2 = 60
Therefore, in half an hour Doreen can type 60 pages
Is the graph increasing, decreasing, or constant?
O A. Constant
B. Decreasing
C. Increasing
Answer:
Decreasing because the line is going down meaning it is decreae
if x = 2 and y = 6 , evaluate the following expression:
100-3(3y-4x)
(Tricky question, so be careful, not as obvious as it seems)
(NO LINKS OR I WILL REPORT)
Solve the following equation: *
Answer:
Step-by-step explanation:
x/3 + 6 = 17
Bringing like terms on one side
x/3 = 17 - 6
x/3 = 11
Dividing by 3 on both sides
x = 11/3