Answer:
The cut-off dollar amount is $328.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean cost of $328, standard deviation of $82.
This means that 
If you want to be in the bottom 50%, what will be the cut-off dollar amount?
The 50th percentile, which is X when Z has a pvalue of 0.5. So X when Z = 0.
The cut-off dollar amount is $328.
There would be a group of 12 and a group of 41
M<A = m<C = 53
answer is B. 53
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2x = 8
x = 4
answer
D. 4
--------------
y = 3x (1)
y + 12 = 6x so y = 6x - 12 (2)
from (1) and (2) you haev
3x = 6x - 12
3x = 12
x = 4
y = 4x = 4(3) = 12
answer
C. y = 12
The possible orders in which Elliott can do these tasks is 24
<h3>
What is Permutation ?</h3>
Permutation is defined as the number of ways r number of objects can be arranged in total n number of objects.
P(n,r) = n! / (n-r)!
As Elliot have 4 tasks to do practices the piano (A), walks his dog(B), does his homework(C), and cleans his room(D)
4 Task can be done in 4! ways = 4 * 3 * 2 * 1 = 24 ways
ABCD ABDC
ACBD ACDB
ADBC ADCB
This is for when Elliot does piano first (A)and then walks his dog(B), does his homework(C), and cleans his room(D) .
Similarly for other 3 works , total 24 possible orders can be followed.
To know more about Permutation
brainly.com/question/1216161
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Since the value of b is 5, hence the equation of the horizontal line is x = 5
<h3>Equation of a line</h3>
A line is defined as the shortest distance between two points. The given line on the xy plane is a horizontal line.
The equation of a line is expressed as y = mx + b where;
m is the slope
b is the y -intercept
The equation of a horizontal line on the other hand is expressed as x = b
where b is the point where the horizontal line crosses the y-axis.
Since the value of b is 5, hence the equation of the horizontal line is x = 5
Learn more on equation of horizontal line here: brainly.com/question/25081736
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