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Elden [556K]
3 years ago
11

A number increased by 11 is equal to twice the number decreased by 12

Mathematics
1 answer:
Anastaziya [24]3 years ago
8 0

Answer: 10

Step-by-step explanation:

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Of 1996 people who came into a blood bank to give blood, 294 people had high blood pressure. Estimate the probability that the n
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We know that out of the 1996 people, 294 had high blood pressure. We can use that to create a fraction.

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A machine produces a part for the automotive industry. 4% of the parts produced were defective in the past, and we believe that
Mamont248 [21]

Answer:

n=\frac{0.04(1-0.04)}{(\frac{0.03}{1.64})^2}=114.76  

And rounded up we have that n=115

Step-by-step explanation:

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 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64

Solution to the problem

The margin of error for the proportion interval is given by this formula:  

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

The proportion of defectives is estimated as: \hat p=0.04. And on this case we have that the margin of error is ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.04(1-0.04)}{(\frac{0.03}{1.64})^2}=114.76  

And rounded up we have that n=115

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3 years ago
Fine the measure of each variable in the parallelogram please!?
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Answer:

x = 4

y = 116

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

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