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3 years ago

1. A square and a rectangle have the same area. The length of the rectangle is 32

Mathematics

1 answer:

inessss [21]3 years ago

6 0

Answer:

Step-by-step explanation:

A=l*w

32*2=64

A=s*s

s=√A

√64

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The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in t

andreyandreev [35.5K]

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.

This means that the mean and the alternate hypothesis are:

Null: $H_{0} = 3$

Alternate: $H_{a} = 3$

The test-statistic is given by:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

Sample of 100 customers.

This means that $n = 100$

3 tested at the null hypothesis

This means that $\mu = 3$

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that $X = 3.1$

The population standard deviation is known at 0.5 minutes.

This means that $\sigma = 0.5$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}$

$z = 2$

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

2*(1 - 0.9772) = 2*0.0228 = 0.0456

At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

7 0

3 years ago

If (8^9)p = 8^16 what's the value of p?

monitta

Answer:

$p = {8}^{7}$

Step-by-step explanation:

$(8^9)p = 8^{16 } \\ \\ p = \frac{8^{16 } }{8^{9 } } \\ \\ p = {8}^{16 - 9} \\ \\ \huge \red{ \boxed{p = {8}^{7} }}$

8 0

3 years ago

on january 1,1999,the price of gasoline was$1.39 per gallon .if the price of gasoline increased by 0.5%per month ,what was the w

arlik [135]

$P(t)=1.39.(1.005)^t \ \ \ \ where t \ is \ time \ in \ months\\
\\
P(1)=1.39.(1.005)^1\\
\\
P(1)=1.39*1.005\\
\\
P(1)=\$ \ 1.40$

4 0

4 years ago

-5=5(d+4)<br> Please give step by step

bekas [8.4K]

Answer:

first distribute the 5 to the d and 4
5(d+4) then becomes 5d+20
then subtract 20 from both sides of the equation
-5=5d+20 is now -25=5d
lastly divide 5 from both sides
-25=5d is now -5=d
hope this helps!

6 0

3 years ago

. A hotel elevator is on the 14th floor. If it goes up 5 floors, then goes down 8 floors, what floor is it now on?

vampirchik [111]

14+5= 19; 19-8=11. the hotel elevator is now on the 11th floor

4 0

4 years ago