All categories

3 years ago

Show your work to find x

Mathematics

2 answers:

BabaBlast [244]3 years ago

4 0

Hello there!

The value of X is 15.

Work is provided in the image attached.

Have a great day!

Karolina [17]3 years ago

3 0

Use the Pythagorean Theorem Formula

a^2+b^2=c^2

a=12

b=9

12^2+9^2=c^2

144+81=c^2

225=c^2

Square root 225 and c^2

c=15

Answer: c=15

You might be interested in

Which statements are true? Select three options.<br><br> You can use for reference ;)

Dovator [93]

The answers are A,C,&E

3 0

2 years ago

A water park offers two types of membership an unlimited use for $70 per month or a monthly $10 fee and $5 per visit which is th

sveta [45]

Answer:$70 per month

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find the value of x.

dimaraw [331]

Answer:

$2\sqrt{77}$

Step-by-step explanation:

Use the Pythagorean theorem. $a^{2} +b^{2}=c^{2}$

a and b are the two side lengths

c is the hypotenuse (value across from the right angle)

Plug in the values that you are given.

$a^{2} +4^{2} =18^{2}$

Solve for x

$x^{2} =18^{2} -4^{2}$

$x^{2} =308$

x= $\sqrt{308}$

$x=2\sqrt{77}$

5 0

3 years ago

A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon

fiasKO [112]

Answer:

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail.

This means that $n = 603, \pi = \frac{142}{603} = 0.2355$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a p-value of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694$

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

8 0

2 years ago

5x + 10 > 35<br> How do you work this out?

Alexxx [7]

Answer:

$x > 5$