Answer:
The first step to do is trying to find the closest perfect square less than 845, and the closest perfect square more than 845.
In this case 29^2 (841) is the closest perfect square less than 845, and 30^2 (900) is the closet perfect square more than 845.
In conclusion we will say that 29 < √ 845 < 30.
Hope it helps you.
Answer:
0.7422 = 74.22% of scores are above 74.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Calculate the proportion of scores above 74.
This is 1 subtracted by the pvalue of Z when X = 74. So



has a pvalue of 0.2578
So 1-0.2578 = 0.7422 = 74.22% of scores are above 74.
There are many ways.

is actually the same as

so anything you do just has to have a numerator exactly half as the denominator. So one that would work is

I just doubled both numbers. Other ones would be

all of which the numerator is exactly half the denominator.
If there are equal amounts of blue and green marbles, then there are 56 of each; so 112 altogether. That leaves 28 red and yellow marbles; therefore 14 red marbles.
If you’re looking for profit is would be $59.00