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2 years ago

What is the length of the hypotenuse of a right triangle with sides 9yards and 12 yards respectively?

Mathematics

1 answer:

Andrews [41]2 years ago

8 0

Answer:

15 yards

Step-by-step explanation:

use pythagoras theorem

a^2 + b^2 = c^2

9^2 + 12 ^2

81 + 144

225

square root

hypoteneuse= 15 yards

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9. If you invest $2000 an account that pays 8 % interest

marissa [1.9K]

Answer:

2000 * 1.08 * 1.08 * 1,08 ....

well, since we are multiplying the same number over and over, let's just write

$2000 \times {1.08}^{20}$

equals

$9321.91

7 0

2 years ago

Work out (3.6 x 10^-5) divided by (1.8 x 10^2)<br> give your answer in standard form

Andre45 [30]

Answer:

lol it's 0.002

Step-by-step explanation:

(3.6x10^-5) = 0.000036 divided by (1.8x10^2) is 0.002

3 0

1 year ago

What is −1 2/3⋅(−5 1/4)?

frez [133]

Answer:

- 35/4 its the answer from a exact from

Step-by-step explanation:

3 0

1 year ago

PLS HELP!! You have a dog crate that will hold up to 40 pounds. You have 2 dogs and need to transport them using a crate. One do

professor190 [17]

Answer:

Yes.

Step-by-step explanation:

22.75 + 15.2 =?

22+15= 37

.75 +.2 = .95

37+.95 = 37.95

5 0

2 years ago

A student carried out an experiment to determine the amount of vitamin C in a tablet sample. He performed 5 trials to produce th

ivolga24 [154]

Answer:

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

P-value = 0.166.

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{5}(490+502+505+495+492)\\\\\\M=\dfrac{2484}{5}\\\\\\M=496.8\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{4}((490-496.8)^2+(502-496.8)^2+(505-496.8)^2+(495-496.8)^2+(492-496.8)^2)}\\\\\\s=\sqrt{\dfrac{166.8}{4}}\\\\\\s=\sqrt{41.7}=6.5\\\\\\$

Then, we can perform the hypothesis t-test for the mean.

The claim is that the amount of vitamin C in a tablet sample is different from 500 mg.

Then, the null and alternative hypothesis are:

$H_0: \mu=500\\\\H_a:\mu< 500$

The significance level is 0.05.

The sample has a size n=5.

The sample mean is M=496.8.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=6.5.

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

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6.5}{\sqrt{5}}=2.907$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{496.8-500}{2.907}=\dfrac{-3.2}{2.907}=-1.1$

The degrees of freedom for this sample size are:

$df=n-1=5-1=4$

This test is a left-tailed test, with 4 degrees of freedom and t=-1.1, so the P-value for this test is calculated as (using a t-table):

$\text{P-value}=P(t$

As the P-value (0.166) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

4 0

2 years ago