The probability that Jane opens a prime page in a 24-page magazine is 0.375. There are 9 prime numbers between 1-24 and they are: 2,3,5,7,11,13,17,19, and 23. To calculate, Probability = Events/Number of Outcomes which is 9/24 = 0.375. Hope this helps.
The lengths of the rectangles are 7 and 12 respectively. Form the ratio 7/12. The widths of the rects. are x and 5 respectively. Form the ratio x/5. Now equate these two ratios:
7 x
--- = ---
12 5
Solve this for x. One way to do this would be to cross-multiply, obtaining 12x = 35, and solving this result for x. x will be a fraction. Write the numerator and denominator in the boxes given.
Answer:
The margin of error needed to create a 99% confidence interval estimate of the mean of the population is of 0.3547
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
In this question:
So
The margin of error needed to create a 99% confidence interval estimate of the mean of the population is of 0.3547
