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3 years ago

How do you do this problem?? I'm very confused

Mathematics

1 answer:

Mamont248 [21]3 years ago

7 0

You have to multiply by the complex conjugate so that you can clear the radical from the denominator. Once you do the multiplication simplify the radical. There's still a common factor in -54, -18, & 75 so divide all those by 3.

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Math help (radical expressions) ???

Vinil7 [7]

Answer:

radicial expressions

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Does going to a private university increase the chance that a student will graduate with student loan debt? A national poll by t

Snowcat [4.5K]

Answer:

Null hypothesis: $p \leq 0.69$

Alternative hypothesis: $p > 0.69$

Step-by-step explanation:

1) Data given and notation

n=1500 represent the random sample taken

X represent the number of graduates that had student loan debt in 2014

$\hat p=0.71$ estimated proportion of adults that said that it is morally wrong to not report all income on tax returns

$p_o=0.69$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

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

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that if there was a significant increase in the proportion of student loan debt for public and nonprofit colleges in 2014 respect to the value of 2013.:

Null hypothesis: $p \leq 0.69$

Alternative hypothesis: $p > 0.69$

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 $p_o$ .

3) Calculate the statistic

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

$z=\frac{0.71 -0.69}{\sqrt{\frac{0.69(1-0.69)}{1500}}}=1.675$

4) 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 assumed is $\alpha=0.05$ . The next step would be calculate the p value for this test.

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

$p_v =P(Z>1.675)=0.047$

If we compare the p value obtained and using the significance level assumed $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults that said that it is morally wrong to not report all income on tax returns is not significantly higher than 0.69.

5 0

3 years ago

How to find the area of composite polygon that have a base of 16 meters height of 18 meters and a height of 11 meters.

LenaWriter [7]

The area of the composite polygon is:

$\boxed{A_{T}=376 \ m^2}$

<h2>Explanation:</h2><h2 />

Hello! remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any figure, so I'll choose the figure below in order to illustrate this problem. A composite polygon is a polygon that can be divided into two or more basic shapes. So here we have a composite polygon formed by a triangle and a rectangle. So:

$A_{total}=A_{T} \\ \\ A_{triangle}=A_{tr} \\ \\ A_{rectangulo}=A_{r} \\ \\ \\ A_{tr}=\frac{b\times h}{2} \\ \\ b:Base \ of \ the \ triangle \\ \\ h:height \ of \ the \ triangle \\ \\ \\ A_{r}=B\times H \\ \\ B:base \ of \ the \ rectangle \\ \\ H:height \ of \ the \ rectangle$

So the area of the composite figure is:

$A_{T}=\frac{16\times 11}{2} + 16\times 18 \\ \\ A_{T}=88+288 \\ \\ \boxed{A_{T}=376 \ m^2}$

<h2>Learn more:</h2>

Dilation: brainly.com/question/10946046

#LearnWithBrainly

8 0

3 years ago

Describe a real world situation for the equation -200/+4=-50

RSB [31]

Okay so there is like no-way i am not going to be giving you the answer but i will describe a real world situation for it.

Last year Kelly had a balance of -200 she then told four of her friends that she need to raise her balance from -200. If 4 of Kelly's friends gave her the money how much money will she have left to raise her balance?

Okay so there you go hope it helped!

7 0

3 years ago

What is the remainder when the following polynomial division is performed? (y^4 – y^3 + 2y^2 + y – 1)/(y^3 + 1)

stellarik [79]

Y4 - y3 + 2y2 + y - 1 over (y + 1) • (y2 - y + 1) <span>
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7 0

3 years ago