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3 years ago

Raj paid $31.86 for a new basketball. The price he paid included sales tax of 6.25%.

Mathematics

1 answer:

Marianna [84]3 years ago

3 0

D.
p + 6.25p = 31.86

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Y is such that 4y _ 7<= 3y and 3y <= 5y +8. What range of values of y satisfies both inequalities

fgiga [73]

Answer:

Step-by-step explanation:

Given the inequality expressions

4y - 7 ≤ 3y and 3y≤5y+8

For 4y - 7 ≤ 3y

Collect like terms

4y - 3y ≤ 7

y ≤ 7

For 3y≤5y+8

Collect like terms

3y - 5y ≤ 8

-2y ≤ 8

y ≥ 8/-2

y ≥ -4

Combining both solutions

-4≤y≤7

Hence the range of values of y that satisfies both inequalities is -4≤y≤7

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3 years ago

Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic t.

lawyer [7]

Using the t-distribution, it is found that the p-value of the test is 0.007.

At the null hypothesis, it is tested if the mean lifetime is not greater than 220,000 miles, that is:

$H_0: \mu \leq 220000$

At the alternative hypothesis, it is tested if the mean lifetime is greater than 220,000 miles, that is:

$H_1: \mu > 220000$ .

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.
$\mu$ is the value tested at the null hypothesis.
s is the standard deviation of the sample.
n is the sample size.

For this problem:

$\overline{x} = 226450, \mu = 220000, s = 11500, n = 23$

Then, the value of the test statistic is:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{226450 - 220000}{\frac{11500}{\sqrt{23}}}$

$t = 2.69$

We have a right-tailed test(test if the mean is greater than a value), with t = 2.69 and 23 - 1 = 22 df.

Using a t-distribution calculator, the p-value of the test is of 0.007.

A similar problem is given at brainly.com/question/13873630

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2 years ago

Quadrilateral ABCD is the result of a translation of

skad [1K]

Answer:

The corresponding segments AB and DC in the image are parallel.

Step-by-step:

It already tells us that segment QR is parallel to segment TS. So now the only segments left are segments AB and DC. Now look at segments AB and DC, do they look parallel? Yes, they do.

And that's how I got my answer. Even further, I took the test and got it right.

Your welcome. ;)

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3 years ago

A trapezoid with bases of 18 feet and 12 feet, height of 4 feet, and side length of 5 feet. What statements are true? Check all

RSB [31]

Answer:

A and D

Step-by-step explanation:

Got it right :)

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3 years ago

A square has a perimeter of 100 m. What is the length of each side?

Doss [256]

Answer: 25

Step-by-step explanation:

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3 years ago

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