Answer:
About 84% of the people have test scores that make them eligible to be interviewed
Step-by-step explanation:
Problems of normally distributed samples are 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 question, we have that:

A state agency will only interview applicants with test scores of 43 or greater. About what percent of the people have test scores that make them eligible to be interviewed?
This is 1 subtracted by the pvalue of Z when X = 43. So

has a pvalue of 0.1587
1 - 0.1587 = 0.8413
Rounding to the nearest percent
About 84% of the people have test scores that make them eligible to be interviewed
It's ten times as great ... just like 10 is ten times as great as 1.
In a cylinder
height,h=40inches
diameter,d=16inches
radius,r=16/2
=8inches
so, by formula,
volume,v= πr^2h
=22/7*8*8*40
=8045.71 cubic inches
From the graph of peicewise-defined function, we shall obtain the answers to the questions as follows:
a] When x<-2, the value of f(x) will be f(x)=5
Answer: B:5
b] when x≥3, the value of f(x) will be f(x)=-3
Answer: <span>A: -3</span>
<h3>The dimensions of the gym floor could be 150 feet by 120 feet</h3><h3>The dimensions of the gym floor could be 225 feet by 180 feet</h3>
<em><u>Solution:</u></em>
Given that,
The dimensions of the swimming pool and the gym are proportional
The pool is 75 feet long by 60 feet wide
To find: set of possible dimensions for the gym
To determine the possible dimensions for the gym, you would use the same number to multiply both 75 and 60
<em><u>One set of dimensions are:</u></em>
75 x 2 = 150
60 x 2 = 120
The dimensions of the gym floor could be 150 feet by 120 feet
<em><u>Other set of dimensions:</u></em>
75 x 3 = 225
60 x 3 = 180
The dimensions of the gym floor could be 225 feet by 180 feet