A rectangle has a perimeter of 84 meters. One dimension is 7 meters. How long is

Sam buys 3 different types of fruit in 3/4 pounds basket. Maria has 1 1/4 pound fruit. How many pounds of fruit do they have alt

uysha [10]

Answer: 2 pounds

Step-by-step explanation: hope this helps:)

5 0

3 years ago

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Vivian won a $18 gift certificate to a Mexican restaurant. She must spend more than the

7nadin3 [17]

Answer:

$7x+y>18$

Step-by-step explanation:

$7x$ is 7 dollars times the amount of burritos

$y$ is 1 dollar times the amount of tacos

$>$ because the final price has to be more than the gift card

$18$ the money on the gift card

7 0

3 years ago

#19 <br> Quadrilateral ABCD is a parallelogram. What is the measure of

Burka [1]

Answer:

133°

Step-by-step explanation:

In the attached file

7 0

3 years ago

Most US adults have social ties with a large number of people, including friends, family, co-workers, and other acquaintances. I

xxTIMURxx [149]

Answer:

$t=\frac{669-634}{\frac{732}{\sqrt{1700}}}=1.971$

$p_v =2*P(t_{(1699)}>1.971)=0.049$

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 634 at 10% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=669$ represent the sample mean

$s=732$ represent the sample standard deviation

$n=1700$ sample size

$\mu_o =68$ represent the value that we want to test

$\alpha=0.$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is different from 634, the system of hypothesis would be:

Null hypothesis: $\mu = 634$

Alternative hypothesis: $\mu \neq 634$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

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

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{669-634}{\frac{732}{\sqrt{1700}}}=1.971$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=1700-1=1699$

Since is a two sided test the p value would be:

$p_v =2*P(t_{(1699)}>1.971)=0.049$

Conclusion

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is different from 634 at 10% of signficance.

3 0

3 years ago

Aiden knows the length of only one side of his garden. He says he will be able to find the area knowing only one aide. Explain h

Snowcat [4.5K]

This is possible providing the garden is in the shape that has equal sides, such as a square or an equilateral triangle.

Area of a square is found by multiplying one side to the other, which would be the same as multiplying two same numbers.

6 0

3 years ago

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