Answer: 5 times
Step-by-step explanation:
Let the number of times that he saved $75 be x.
Let the number of times that he saved $150 be y.
Therefore, based on the information given in the question, we can form an equation which will be:
x + y = 8 ...... i
75x + 150y = 825 ....... ii
From equation I,
x + y = 8
y = 8 - x....... iiii
Put equation iii into ii and this will be:
75x + 150y = 825
75x + 150(8 - x) = 825
75x + 1200 - 150x = 825
75x - 150x = 825 - 1200
-75x = -375
x = 375/75
x = 5
He saved $75 5times from his paycheck.
z = -2.83
<u>Explanation:</u>
Given:
Mean, μ = 68
Standard deviation, σ = 6
Data point, x = 51
Z score, z = ?
We know:

Substituting the value we get:

A negative z score says that the data point is below average.
In the standard form of the equation
![\\ \ f(t)=Acos[b(t\pm c)]+k\\ \\](https://tex.z-dn.net/?f=%20%5C%5C%20%5C%20f%28t%29%3DAcos%5Bb%28t%5Cpm%20c%29%5D%2Bk%5C%5C%20%5C%5C%20)
The middle line =k
For our given problem
f(t) = 40cos (80t + 20)
On comparison we get k=0
Hence middle line=0
3 and 3 1/5 because the median is always in the middle