How do you solve (z-k)to the 6th power

Solve using the pathagorean theorem

REY [17]

Answer:

b=45^1/2

Step-by-step explanation:

$a^2+b^2=c^2\\6^2+b^2=9^2\\b^2=81-36\\b^2=45\\b=\sqrt{45}$

4 0

1 year ago

The longest side of a triangle is 5 inches longer than the shortest side. The medium side is 2 inches longer than the shortest s

Rom4ik [11]

If we refer to the longest side as x and the shortest side as y and the medium side as z then we come up with this formation:

x+y+z= 22

y is shorter than x by 5 inches so y= x-5

z is longer than y by 2 inches therefore z= x-5 +2

therefore:
x+(x-5)+(x-5+2)=22
x+x-5+x-5+2=22
3x-8=22
3x= 22-8
3x=14
x=
$\frac{14}{3}$

replace x in y and z in previous formations

5 0

3 years ago

May someone help me with this equation, please <br> 95=20x + 5

arsen [322]

Answer:

The answer is 9/2 or decimal form is 4.5 i gave you the work in the screenshot below hope it helps :)

Step-by-step explanation:

6 0

2 years ago

In Janie's homeroom 54% of the students' families own a dog and 32% own a dog and a cat. What is the probability that a student'

pogonyaev

Answer:

51,111%

Step-by-step explanation:

We know that 45% have a dog but no cat. While 23% have both a dog and a cat.

Then Pr(X has cat|X has dog) = Pr(X has dog and cat)/Pr(X has dog)

= Pr(X has dog and cat)/Pr(X has dog) = 0.23/0.45 = 0.51 ≈ 51,111%

The probability that a student’s family owns a cat if the family owns a dog is 51,111%

6 0

2 years ago

The p-value for a one-sided test of the population proportion is 0.0513. Which of

uysha [10]

Using the equation of the test statistic, it is found that with an increased sample size, the test statistic would decrease and the p-value would increase.

<h3>How to find the p-value of a test?</h3>

It depends on the test statistic z, as follows.

For a left-tailed test, it is the area under the normal curve to the left of z, which is the <u>p-value of z</u>.

For a right-tailed test, it is the area under the normal curve to the right of z, which is <u>1 subtracted by the p-value of z</u>.

For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is <u>2 multiplied by 1 subtracted by the p-value of z</u>.

In all cases, a higher test statistic leads to a lower p-value, and vice-versa.

<h3>What is the equation for the test statistic?</h3>

The equation is given by:

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

The parameters are:

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

$\mu$ is the tested value.

s is the standard deviation.

n is the sample size.

From this, it is taken that if the sample size was increased with all other parameters remaining the same, the test statistic would decrease, and the p-value would increase.

You can learn more about p-values at brainly.com/question/26454209

3 0

2 years ago