Answer:
Part A: 20 students
Part B: 4 hours
Step-by-step explanation:
Part A:
To find the number of students surveyed, we count the number of x there are in the graph.
students = 1 + 2 + 3 + 5 + 1 + 1 + 3 + 2 + 2 = 20
Part B:
To find the mean, we need to find the total number of hours volunteered first.
hours = 1x0 + 2x1 + 3x3 + 5x3 + 1x4 + 1x5 + 3x6 + 2x7 + 2x8 = 80
Now, we can find the mean. We divide the total number of hours volunteered by the number of students.
Mean = 80 ÷ 20 = 4
Answer:
0.6443 = 64.43% of the business travelers will have to stoop
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 problem, we have that:
Each feet is 12 inches
So
5'9'' = 5*12 + 9 = 69
5'10'' = 5*12 + 10 = 70

What percentage of the business travelers will have to stoop?
This is 1 subtracted by the pvalue of Z when X = 69. So



has a pvalue of 0.3557.
1 - 0.3557 = 0.6443
0.6443 = 64.43% of the business travelers will have to stoop
Answer:

Step-by-step explanation:
we have

we know that
The rule of the reflection across the x-axis is
(x,f(x)) ------> (x,-f(x))
therefore


g(x) = −4(one-half) Superscript x
see the attached figure to better understand the problem
P-1 is a factor.
∴p=1 is one of the root of p⁴ + p² + p -k
f(p) = p⁴ + p² + p - k
∴ f(1) = 1⁴ + 1 ² + 1 - k = 0
∴ k = 3