What is |-5 x 6 + 7|? 23 ⊝ -65 ⊝ -37 ⊝ 37

The volume of a rectangular box is 2x(2x + 5)(2x – 3). (Drawing is not to scale.)

Anarel [89]

Answer:

Option B. The volume is the product of the area of the base, 2x(2x + 5), and the height, 2x – 3

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The volume of a rectangular prism is equal to

$V=BH$

where

B is the area of the base of the prism

H is the height of the prism

In this problem we have

The area of the base B is equal to

$B=2x(2x+5)\ units^2$

The height H is equal to

$H=2x-3\ units$

therefore

The volume is equal to

$V=2x(2x+5)(3x-3)\ units^3$

The volume is the product of the area of the base, 2x(2x + 5), and the height, 2x – 3

5 0

3 years ago

Name the property: 7 + (4 + 4) = (7 + 4) + 4

netineya [11]

The answer you are looking for is associative property of addition.

In associative property, no matter where the parenthesis are, a + (b + c) is going to be equal to (a + b) + c. Since the parenthesis follow the equation a + (b + c) = (a + b) + c, you can assume you are using the associative property. Lastly, add "of addition" to associative property, since you are using addition, not multiplication.

I hope this helps!

6 0

3 years ago

Read 2 more answers

Hans pays $396 in advance on his account at the athletic club. Each time he uses the club, $5 is deducted from the account. What

alekssr [168]

the answer is b. V = 396 - 5x; $341

7 0

3 years ago

In a survey, 32% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result

adoni [48]

Answer:

$z=\frac{0.29 -0.32}{\sqrt{\frac{0.32(1-0.32)}{210}}}=-0.932$

$p_v =P(z$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of pet owners contacted by telephone is NOT significantly lower than 0.32

Step-by-step explanation:

Data given and notation

n=210 represent the random sample taken

X=61 represent the number of pet owners contacted by telephone

$\hat p=\frac{61}{210}=0.29$ estimated proportion of pet owners contacted by telephone

$p_o=0.32$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportions is lower than 0.32.:

Null hypothesis: $p \geq 0.32$

Alternative hypothesis: $p < 0.32$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.29 -0.32}{\sqrt{\frac{0.32(1-0.32)}{210}}}=-0.932$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a left tailed test the p value would be:

$p_v =P(z$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of pet owners contacted by telephone is NOT significantly lower than 0.32

3 0

3 years ago

Smart growth is an urban planning theory that promotes the development of suburbs surrounding major city centers.

lakkis [162]

the answer is false, i hope this helps

4 0

4 years ago

Read 2 more answers