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2 years ago

12

In a rigid motion, which of the following is/are preserved?

1 answer:

Arlecino [84]2 years ago

6 0

Answer:

2. Side lengths and angle measures

I guess

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Original price $45.00; markdown 22%

Setler79 [48]

First convert 22 to decimal form. You do this by dividing the percent by 100.
22 / 100 = .22

Then multiply the dollar amount by the percentage in decimal form.

$45 * .22 = $9.9

So 22% of $45 is $9.9.

Then you subtract $9.9 from $45.

$45 - $9.9 = $35.1

4 0

3 years ago

Which equations represent two vertical asymptotes of the function y = 3 cot(4/3^x)?

Maurinko [17]

D ) x = 0 and x = 3 π / 4

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3 years ago

Mark is 4 year older than 2 times his sister Helena's Age. Let h represent Helena's age and m represent Mark's age. Write an equ

andreyandreev [35.5K]

<span>2h + 4 = m (twice the value of Helena's age plus 4 will equal Mark's age) 3j - 6 = g (three time John's age minus 6 will equal Glenn's age) 3.35s + .80b = 11.75</span>

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3 years ago

Find the missing leg of a triangle with legs of 7 and a hypotenuse of 10<br> Help please

ahrayia [7]

Answer:

i believe its 24 in for the other leg

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Someone claims that the average amount of time that a freshman at TAMU studies is 7 hours. We think it’s higher than that and de

Stels [109]

Answer:

Test statistic t = 5.25

P-value = 0.000002 (one-tailed test)

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average amount of time that a freshman at TAMU studies is significantly higher than 7 hours.

Then, the null and alternative hypothesis are:

$H_0: \mu=7\\\\H_a:\mu> 7$

The significance level is 0.05.

The sample has a size n=49.

The sample mean is M=8.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=√s^2=√4=2.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2}{\sqrt{49}}=0.29$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{8.5-7}{0.29}=\dfrac{1.5}{0.29}=5.25$

The degrees of freedom for this sample size are:

$df=n-1=49-1=48$

This test is a right-tailed test, with 48 degrees of freedom and t=5.25, so the P-value for this test is calculated as (using a t-table):

$\text{P-value}=P(t>5.25)=0.000002$

As the P-value (0.000002) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average amount of time that a freshman at TAMU studies is significantly higher than 7 hours.

6 0

3 years ago