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saul85 [17]
3 years ago
9

State the domain and range of the given relation

Mathematics
1 answer:
GuDViN [60]3 years ago
5 0

Answer:

work is shown and pictured

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A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop
attashe74 [19]

Answer:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

Step-by-step explanation:

Information given:

X= 36 represent the families owned at least one DVD player

n= 85 represent the total number of families

\hat p=\frac{36}{85}= 0.424 represent the estimated proportion of families owned at least one DVD player

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

8 0
3 years ago
Simplify the following expression by combining like terms. Select the most simplified expression:
Fofino [41]

Answer:

A) 24 - 3p

Step-by-step explanation:

Distribute 6 through parenthesis

24 - 12p + 9p

then collect like terms

24 - 3p

8 0
2 years ago
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Give the coordinates of Point P without using any new variables. <br><br> (Please show your work.)
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Answer:

(a-b, c)

Step-by-step explanation:

The midpoints of the two diagonals are the same, so we have ...

(P + (-a, 0))/2 = (O +(-b, c))/2

Multiplying by 2 and subtracting (-a, 0), we get ...

P = (0, 0) +(-b, c) -(-a, 0)

P = (a-b, c)

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3 years ago
A line which has an undefined slope is _____.
erastovalidia [21]

Answer:

c, vertical

Step-by-step explanation:

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2 years ago
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Divide .draw a picture . 156 divided by 12
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13 is the answer ...
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