All categories

3 years ago

Plis help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

scoundrel [369]3 years ago

5 0

Answer:

Equation: 2x + 1 = 9x - 13

There are two chairs in each row.

Step-by-step explanation:

Looking at the problem, we see that Hue can form two rows of chairs with 1 left over, or 9 rows if she gets 13 more. With that information we can create the equation 2x + 1 = 9x - 13. Now let's solve for x.

2x + 1 = 9x - 13

What we can do first is subtract 9x from both sides. This is done so all of the variables are on one side. Thus that becomes...

2x + 1 - 9x = -13

Now, combine -9x and 2x to get -7x.

-7x + 1 = -13

Now subtract 1 from both sides. This is done so we solve for x directly.

-7x = -13 - 1

Subtract -1 from -13 to get -14.

-7x = -14

Now divide both sides by -7.

x = -14/-7

Divide -14 by -7 to get 2. Remember, dividing two negatives gives you a positive!

x = 2

With that, the equation is solved. There are 2 chairs in each row.

You might be interested in

For homework, a teacher instructs her students to choose a county in their state for a social

kotykmax [81]

Answer:

they are dependent

Step-by-step explanation:

6 0

3 years ago

Please help me with the area of a triangle!

Drupady [299]

Area = 1/2 6x4

Area= 1/2 24

Area = 24/2

Area= 12mm^2

7 0

4 years ago

I will mark the best answer as brainliest.

olga nikolaevna [1]

Step-by-step explanation:

use the pythagoras theory.

a2 + b2 = c2

the firth one use this formula

a2 = c2 - b2

a2 = 10.6² - 5.6²

a2 = 112.36 - 31.36

a2 = 81

a = 9

The same method use to the eighth one

4 0

3 years ago

Read 2 more answers

What is 4/5 of 55? Pls help me

rjkz [21]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Refer to the random sample of customer order totals with an average of $78.25 and a population standard deviation of $22.50. a.

zysi [14]

Answer:

a) $78.25- 1.64 \frac{22.50}{\sqrt{40}}= 72.416$

$78.25+ 1.64 \frac{22.50}{\sqrt{40}}= 84.084$

b) $78.25- 1.64 \frac{22.50}{\sqrt{75}}= 73.989$

$78.25+ 1.64 \frac{22.50}{\sqrt{75}}= 82.511$

c) For this case when we increase the sample size the margin of error would be lower and then the interval would be narrower

d) $ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

Solving for n we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

And replacing the info we have:

$n=(\frac{1.640(22.50)}{5})^2 =54.46 \approx 55$

Step-by-step explanation:

Part a

For this case we have the following data given

$\bar X = 78.25$ represent the sample mean for the customer order totals

$\sigma =22.50$ represent the population deviation

$n= 40$ represent the sample size selected

The confidence level is 90% or 0.90 and the significance level would be $\alpha=0.1$ and $\alpha/2 = 0.05$ and the critical value from the normal standard distirbution would be given by:

$z_{\alpha/2}=1.64$

And the confidence interval is given by:

$\bar X -z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

And replacing we got:

$78.25- 1.64 \frac{22.50}{\sqrt{40}}= 72.416$

$78.25+ 1.64 \frac{22.50}{\sqrt{40}}= 84.084$

Part b

The sample size is now n = 75, but the same confidence so the new interval would be:

$78.25- 1.64 \frac{22.50}{\sqrt{75}}= 73.989$

$78.25+ 1.64 \frac{22.50}{\sqrt{75}}= 82.511$

Part c

For this case when we increase the sample size the margin of error would be lower and then the interval would be narrower

Part d

The margin of error is given by:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

Solving for n we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

And replacing the info we have:

$n=(\frac{1.640(22.50)}{5})^2 =54.46 \approx 55$

3 0

3 years ago