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3 years ago

A triangle with side lengths 13, 30, and 42 is a right triangle. True or False?

Mathematics

1 answer:

kaheart [24]3 years ago

4 0

Answer:

False

Step-by-step explanation:

$42^2-30^2-13^2=695$

695 ≠ 0

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The data set represents the total number of tickets each person purchased for a play

expeople1 [14]

Answer: would be 10

Step-by-step explanation:

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=8%20-%20%20%7B2%7D%5E%7B2%7D%20%20%2B%203%20-%205" id="TexFormula1" title="8 - {2}^{2} + 3 -

Vlad1618 [11]

The answer should be 8+[(2^2)+3]-5

Hope this helps!

3 0

3 years ago

A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is current

lapo4ka [179]

Using the z-distribution, we have that:

The hypothesis test is:

$H_0: \mu = 7.4$

$H_1: \mu < 7.4$

The p-value is of 0.0668.

The critical value is $z^{\ast} = -1.28$

b) Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

Item a:

At the null hypothesis, it is tested if the mean is of 7.4 minutes, that is:

$H_0: \mu = 7.4$

At the alternative hypothesis, it is tested if the mean is lower than 7.4 minutes, that is:

$H_1: \mu < 7.4$

We have the standard deviation for the population, hence, the z-distribution is used.

The test statistic is given by:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

$\sigma$ is the standard deviation of the sample.

n is the sample size.

For this problem, the values of the parameters are: $\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36$ .

Hence, the value of the test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}$

$z = -1.5$

Using a z-distribution calculator, the p-value is of 0.0668.

Also using a calculator, considering a left-tailed test, as we are testing if the mean is less than a value, the critical value with a significance level of 0.1 is of $z^{\ast} = -1.28$ .

Item b:

Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

You can learn more about the use of the z-distribution to test an hypothesis at brainly.com/question/16313918

5 0

2 years ago

you have a piece of wood that is 72 inches long u cut the wood into three pieces the second piece is 6 inches longer than the fi

tangare [24]

Let

x---------> the length of the first piece

y---------> the length of the second piece

z---------> the length of the third piece

we know that

x+y+z=72 -------> equation 1

y=x+6 -----> solve for x

x=y-6 -------> equation 2

z=6+y -------> equation 3

substitute equation 2 and equation 3 in equation 1

[y-6]+y+[6+y]=72

3y=72

y=(72/3)=24 in

Find the value of x

x=y-6 -------> equation 2

x=24-6=18 in

Find the value of z

z=6+y -------> equation 3

z=6+24=30 in

therefore

the answer is

the length of the first piece is 18 in

the length of the second piece 24 in

the length of the third piece is 30 in

7 0

3 years ago

Sean walks ¾ of a mile in 15 minutes. At the same pace, how far can Sean walk in 1 hour and 20 minutes? Explain

Pavlova-9 [17]

1 hr plus 20 minutes
Then that answer divided by 15
Then that answer multiply by 3/4

5 0

3 years ago

A triangle with side lengths 13, 30, and 42 is a right triangle. True or False?​

A triangle with side lengths 13, 30, and 42 is a right triangle. True or False?