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SVEN [57.7K]
2 years ago
13

Solve the following equation for x. Round the answer to the nearest hundredth

Mathematics
1 answer:
jek_recluse [69]2 years ago
4 0
Green beans are the
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A+b > c as in the side lengths
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2 years ago
Read 2 more answers
Sample Size for Proportion As a manufacturer of golf equipment, the Spalding Corporation wants to estimate the proportion of gol
Dima020 [189]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56  

And rounded up we have that n=2663

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

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 =0.005. And the critical value would be given by:

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

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)  

And on this case we have that ME =\pm 0.025 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)  

We can assume an estimated proportion of \hat p =0.5 since we don't have prior info provided. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56  

And rounded up we have that n=2663

6 0
3 years ago
Which of the following systems of inequalities has point C as a solution?
Ede4ka [16]

Answer: A

Step-by-step explanation:

C lies below g(x) and f(x), so we need f(x) \leq 3x+4 and g(x) \leq -\frac{1}{2}x-5.

5 0
2 years ago
Determine the miss ing number in each sequence 30, ,19,13 1/2
enot [183]
The answer is 24.5.

The numbers are decreasing by 5.5, therefore, 30 - 5.5 = 24.5, and 24.5 - 5.5 = 19.
5 0
3 years ago
Divide 7/5 by 3/5<br> A.7/9<br> B.75/21<br> C.7/25<br> D.21/75
ankoles [38]
 ok turn 7/5 and 3/5 into a decimal
here let me help you

3/5 = 0.6
7/5 = 1.4


1.4 / 0.6 = 2.3 repeat


then turn it back into a fraction which is 2 3/10


this is how I do it by the way.
7 0
2 years ago
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