What is the surface area

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down,drag into the correct p

boyakko [2]

Answer:

$\boxed{\sf \ \ 9x^2-18x-7 \ \ divided \ by \ (3x+1) \ is \ (3x-7) \ }$

Step-by-step explanation:

Hello,

let's find a and b reals so that

$9x^2-18x-7=(3x+1)(ax+b)$

$(3x+1)(ax+b)=3ax^2+(3b+a)x+b$

we identify the terms in $x^2$

9 = 3a

we identify the terms in x

-18 = 3b + a

we identify the constant terms

-7 = b

so ti goes with a = 9/3 = 3, b = -7

so we can write

$9x^2-18x-7=(3x+1)(3x-7)$

so $9x^2-18x-7 \ divided \ by \ (3x+1) \ is \ (3x-7)$

hope this helps

8 0

3 years ago

In early 2012, the Pew Internet and American Life Project asked a random sample of U.S. adults, "Do you ever ... use Twitter or

8090 [49]

Answer:

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

3 0

3 years ago

Awnser and show your work <3

marishachu [46]

Answer:

Team A: 25 players

Team B: 24 players

Step-by-step explanation:

Team A:

to find the total # of players of the team we need to set up a fraction. 5 out out of an unknown number of players is equal to 1/5, so we set it up as:

$\frac{5}{x} = \frac{1}{5}$

then we cross multiply to get

x*1 = 5*5

x=25 players

Team B

similarly to Team A

$\frac{3}{x} = \frac{1}{8}$

cross multiply to get

x*1=3*8

x= 24 players

6 0

2 years ago

In your pattern which shape covers more of the plane blue rhombus red trapezoid or green triangles? Explain how you know.

mixas84 [53]

Answer:

Which shapes cover more of the plane" means that we are comparing the areas covered by the different types of shapes. In these patterns, two triangles match up to one rhombus, and three triangles match up to one trapezoid.

In both Pattern A and Pattern B, the first hexagonal part is made up of 7 triangles, 4 rhombuses, and 3 trapezoids.

The first hexagonal part is repeated across the pattern, so whichever type of shape covers the most area of this first part also covers the most area in the whole pattern.

<em>hope it helps</em>

3 0

3 years ago

Solve 169x^2-42.25=0 by using square roots?<br><br> NEED HELP!!!

jekas [21]

Answer:

x = 1/2 , x = -1/2

Step-by-step explanation:

Given equation;

169x² - 42.25

Find:

Solution of equation using square root

Computation:

169x² - 42.25

We know that 13² = 169 and 6.5² = 42.25

So,

[13x]² - [6.5]²

a² - b² = (a + b)(a - b)

So,

[13x]² - [6.5]² = [13x + 6.5][13x - 6.5]

So,

13x + 6.5 = 0 , 13x - 6.5 = 0

x = 6.5 / 13 , x = -6.5 / 13

x = 1/2 , x = -1/2

5 0

2 years ago