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3 years ago

The parabola y=x² is shifted to the right 8 units. What is the equation to the new parabola

Mathematics

1 answer:

JulijaS [17]3 years ago

4 0

The new equation is

<em>Y = (x-8)² </em>.

The other way to write it is like this: (you might not recognize it in this form)

Y = x² - 16x + 64

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A private and a public university are located in the same city. For the private university, 1038 alumni were surveyed and 647 sa

Snezhnost [94]

Answer:

The difference in the sample proportions is not statistically significant at 0.05 significance level.

Step-by-step explanation:

Significance level is missing, it is α=0.05

Let p(public) be the proportion of alumni of the public university who attended at least one class reunion

p(private) be the proportion of alumni of the private university who attended at least one class reunion

Hypotheses are:

$H_{0}$ : p(public) = p(private)

$H_{a}$ : p(public) ≠ p(private)

The formula for the test statistic is given as:

z= $\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}}$ where

p1 is the sample proportion of public university students who attended at least one class reunion ( $\frac{808}{1311}=0.616$ )

p2 is the sample proportion of private university students who attended at least one class reunion ( $\frac{647}{1038}=0.623$ )

p is the pool proportion of p1 and p2 ( $\frac{808+647}{1311+1038}=0.619$ )

n1 is the sample size of the alumni from public university (1311)

n2 is the sample size of the students from private university (1038)

Then z= $\frac{0.616-0.623}{\sqrt{{0.619*0.381*(\frac{1}{1311} +\frac{1}{1038}) }}}$ =-0.207

Since p-value of the test statistic is 0.836>0.05 we fail to reject the null hypothesis.

6 0

3 years ago

Plz help me!!!!!!!!!!!!!!!!!!!!

miss Akunina [59]

There are 5 dimes and 13 nickels

5 0

3 years ago

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.

mixer [17]

Answer:

Step-by-step explanation:

To solve for x, we have to get x by itself. To do this, perform the opposite of what is being done to the equation.

5x+14=k

First, subtract 14 from both sides, because 14 is being added on to 5x. Subtraction is the opposite of addition.

5x+14-14=k-14

5x=k-14

Now, divide both sides by 5, because 5 and x are being multiplied. Division is the opposite of multiplication.

5x/5=k-14/5

x=k-14/5

So, the correct answer is choice B

6 0

3 years ago

In a certain county, the number of charter schools is 6 less than twice the number of alternative schools. We know that there ar

motikmotik

2x-6=52 x= alternative schools
2x=58
x=29
There are 29 alternative schools in the county.

6 0

3 years ago

Read 2 more answers

6(x-3)-5>-22 <br> Apply distributive property

stira [4]

Answer:

thanks for the points then 23

Step-by-step explanation:

4 0

3 years ago