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JulijaS [17]
3 years ago
6

The vertex form of the function y=x^2+8x+29

Mathematics
1 answer:
stira [4]3 years ago
5 0

Answer:

y = (x+4)^2 +13

Step-by-step explanation:

y=x^2+8x+29

To complete the square take  the coefficient of the x term

8

Divide by 2

8/2 =4

Then square it

4^2 =16

y=x^2+8x+16+13

 = (x^2+8x+16)  +13

 = (x+4)^2 +13

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When 258 college students are randomly selected and surveyed, it is found that 106 own a car. Find a 99% confidence interval for
juin [17]

Answer: 0.332 < p < 0.490

Step-by-step explanation:

We know that the confidence interval for population proportion is given by :-

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where n= sample size

\hat{p} = sample proportion

z* = critical z-value.

As per given , we have

n= 258

Sample proportion of college students who own a car = \hat{p}=\dfrac{106}{258}\approx0.411

Critical z-value for 99% confidence interval is 2.576. (By z-table)

Therefore , the  99% confidence interval for the true proportion(p) of all college students who own a car will be :0.411\pm (2.576)\sqrt{\dfrac{0.411(1-0.411)}{258}}\\\\=0.411\pm (2.576)\sqrt{0.00093829}\\\\= 0.411\pm (2.576)(0.0306315197142)\\\\=0.411\pm 0.0789=(0.411-0.0789,\ 0.411+0.0789)\\\\=(0.3321,\ 0.4899)\approx(0.332,\ 0.490)

Hence, a 99% confidence interval for the true proportion of all college students who own a car : 0.332 < p < 0.490

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3 years ago
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seropon [69]
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3 years ago
What's 4/5 as a decimal. Thank you. :)
vesna_86 [32]

Answer: .8


Step-by-step explanation: 4/5 = .8



7 0
3 years ago
Read 2 more answers
QUESTION IS IN PICTURE, FIRST GETS BRAINLIEST
Irina18 [472]

Answer:

48

Step-by-step explanation:

65 + 70 + 73 + 49 +61 + 38 + 41 + 16 + 19 = 432

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3 years ago
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How to write slope-intercept form through (-1,3) and a slope of -1
oksian1 [2.3K]

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have the slope m = -1 and the point (-1, 3). Substitute:

3=(-1)(-1)+b

3=1+b      <em>subtract 1 from both sides</em>

2=b\to b=2

<h3>Answer: y = -x + 2</h3>
7 0
3 years ago
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