Please help!, thanks. please no scam answers

The functions r and s are defined as follows. r(x)=2x-2 s(x)=-x^2 find the value of s(r(-3)) (please help!)

swat32

Solving equation s(r(x)) for x= -3, you find as result s(r(-3))=-64

<h3>Solving Equations</h3>

The equations can be solved when you replace the variable x for a given value or find the zero of functions.

The question gives:

r(x)=2x-2

s(x)=-x²

First, you will find r(-3). For this, in the equation r(x)=2x-2, you should replace x for -3. Then,

r(x)=2*(-3)-2

r(x)=-6-2= -8

Like r(-3)= -8, you should replace x, in s(x), for -8.

s(x)=-(-8)²

s(x)=-64

Hence, s(r(-3)=-64.

Read more about functions here:

brainly.com/question/11515334

8 0

3 years ago

A polling company conducted a survey asking 40 fourth year students from Ohio and 33 fourth-year students from Pennsylvania abou

miv72 [106K]

Answer:

The 99.9% confidence interval for the difference between these results is between 12.09 and 25.91 hours per week.

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Subtraction of normal variables:

When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of variances.

Ohio had an average of 52, standard deviation of 7.22, sample of 40.

This means that $\mu_O = 52, s_O = \frac{7.22}{\sqrt{40}} = 1.1416$

Pennsylvania had an average of 33, standard deviation of 10.11, sample of 33.

This means that $\mu_P = 33, s_P = \frac{10.11}{\sqrt{33}} = 1.76$

Distribution of the difference:

$\mu = \mu_O - \mu_P = 52 - 33 = 19$

$s = \sqrt{s_O^2 + s_P^2} = \sqrt{1.1416^2 + 1.76^2} = 2.1$

Confidence interval:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.999}{2} = 0.0005$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.0005 = 0.9995$ , so Z = 3.29.

Now, find the margin of error M as such

$M = zs$

$M = 3.29*2.1 = 6.91$

The lower end of the interval is the sample mean subtracted by M. So it is 19 - 6.91 = 12.09 hours per week

The upper end of the interval is the sample mean added to M. So it is 19 + 6.91 = 25.91 hours per week.

The 99.9% confidence interval for the difference between these results is between 12.09 and 25.91 hours per week.

8 0

3 years ago

How many solutions does this system have?<br> x-2y=2 <br> y=-2x+5

Marta_Voda [28]

Base from the given system of equation, there would be only one possible solution. This is the point where the lines meet or intersect with each other. Hope this answers the question. Have a nice day. Feel free to ask more question.

6 0

3 years ago

Which angles are pairs of alternate exterior angles

RoseWind [281]

Answer:

when a straight line cuts two or more parallel lines then the angles forming on the side of transversal line exteriorly opposite to eachother is called exterior alternative angle.

for eg if AB //CD and EF is a transversal line meeting the parallel lines at G abd H then the exterior alternative angle are angle EGB = angle CHF and angle AGE=angle DHF are two pairs of exterior alternative angle .

hope its helpful to uh !!!!!!

8 0

4 years ago

Which of the following shows a loss of $900?<br><br> A. +$900<br> B. $900<br> C. -$900<br> D. -$9.00

Dafna11 [192]

Well if you had 900 and shows loss it would be c

8 0

3 years ago

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Please help!, thanks. please no scam answers​

Please help!, thanks. please no scam answers