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3 years ago

The length of a rectangle is twice the width. The perimeter of the rectangle is 24 feet.

Mathematics

1 answer:

DedPeter [7]3 years ago

5 0

Let the width be x cm

Length = 2x cm

Perimeter = 2 ( x + 2x) = 42

3x = 21

x = 7 cm

ANSWER Length 14cm , Width = 7cm

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An educator claims that the average salary of substitute teachers in school districts is less than $60 per day. A random sample

valentina_108 [34]

Answer:

$t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value would be given by:

$p_v =P(t_{(7)}$

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

Step-by-step explanation:

Information given

60, 56, 60, 55, 70, 55, 60, and 55.

We can calculate the mean and deviation with these formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

Replacing we got:

$\bar X=58.875$ represent the mean

$s=5.083$ represent the sample standard deviation for the sample

$n=8$ sample size

$\mu_o =60$ represent the value that we want to test

$\alpha=0.1$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is less than 60, the system of hypothesis would be:

Null hypothesis: $\mu \geq 60$

Alternative hypothesis: $\mu < 60$

The statistic would be given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info we got:

$t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value would be given by:

$p_v =P(t_{(7)}$

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

3 0

2 years ago

Gabriel buys a car for $5,160. His state charges 7% sales tax, $87 for license plates, and $30 for safety and emissions fees. Ho

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Answer:You have 30 days from the date of purchase to title and pay sales tax on your newly purchased vehicle. If you do not title the vehicle within 30 days, there is a title penalty of $25 on the 31st day after purchase. The penalty increases another $25 for every 30 days you are late with a maximum penalty of $200.

When you purchase your vehicle, you may obtain a temporary permit, transfer license plates from a vehicle you already own, or you may purchase new license plates. Our online sales tax calculator may help you estimate the taxes and fees you will pay.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Pls help!!!

Lorico [155]

Answer:

Wouldn't the third term be 21?

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2 years ago

PLEASE HELP ME TO SOLVE THIS QUESTION WITH STEP-BY-STEP. THANK YOU!!!

Alexeev081 [22]