find the volume of the figure please.

Expand and simpilify (x+2)(x+1)

Cerrena [4.2K]

Answer:

x^2+3x+2

Step-by-step explanation:

(X+2)(x+1)

Is x^2+x+2x+2

x^2+3x+2

4 0

3 years ago

Seclect all the sets of numbers that are possible values for x in the inequalit, x > - 8. { -10, -8, -6}. { -8, 0, 8}. { -9,

Sauron [17]

Answer:

{ -6, -4, -2}

Step-by-step explanation:

Since x > - 8, x can be any number greater than - 8.

x = -7, -6, -5, -4,...

BUT, it can't be equal because it's not using this sign $\geq$

--------------------------------------------------------------------------------

1. { -10, -8, -6} can't be an inequality of x because it has -10, -8.

2.{ -8, 0, 8} can't be an inequality of x because of -8.

3.{ -9, 1, 7} can't be an inequality of x because -9 isn't greater than x.

4 0

3 years ago

Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technolog

lara31 [8.8K]

Answer:

$SE=\sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.35 (1-0.35)}{100}}=0.048$

If we replace the values obtained we got:

$0.35 - 1.96\sqrt{\frac{0.35(1-0.35)}{100}}=0.257$

$0.42 + 1.96\sqrt{\frac{0.42(1-0.42)}{150}}=0.443$

The 95% confidence interval would be given by (0.257;0.443)

Step-by-step explanation:

Notation and definitions

$X=35$ number of people that agree.

$n=100$ random sample taken

$\hat p=\frac{35}{100}=0.35$ estimated proportion of people that agree

$p$ true population proportion of peopl that agree

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:

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

The standard error is given by:

$SE=\sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.35 (1-0.35)}{100}}=0.048$

If we replace the values obtained we got:

$0.35 - 1.96\sqrt{\frac{0.35(1-0.35)}{100}}=0.257$

$0.42 + 1.96\sqrt{\frac{0.42(1-0.42)}{150}}=0.443$

The 95% confidence interval would be given by (0.257;0.443)

6 0

3 years ago

Read 2 more answers

How do you solve x+6/11=10/11

laiz [17]

Answer:

Step-by-step explanation:

x+6/11=10/11

This is a linear equation, because x has no power, so it will be solved by making x the subject of the equation.

Make x the subject

x+6/11=10/11

x=-6/11+10/11

x=10/11-6/11

Since both fractions have the same denominator, the LCM remains 11

x=(10-6)/11

x=4/11

To check if the answer is correct, we substitute x for 4/11 in the equation. And both sides of the equation must be equal

x+6/11=10/11

4/11+6/11=10/11

(4+6)/11=10/11

10/11=10/11

7 0

3 years ago

An ordered pair of real numbers can be represented in a plane called the rectangular coordinate system or the ___________ plane

Ghella [55]

Coordinate plane is the answer

5 0

3 years ago

￼find the volume of the figure please.

find the volume of the figure please.