Answer:
See below
Step-by-step explanation:
Just add the two equations together....this will eliminate 'x' and you can then solve for 'y'
Use this value of 'y' in one of the equations to calculate the value of 'x'
Given:
μ = 68 in, population mean
σ = 3 in, population standard deviation
Calculate z-scores for the following random variable and determine their probabilities from standard tables.
x = 72 in:
z = (x-μ)/σ = (72-68)/3 = 1.333
P(x) = 0.9088
x = 64 in:
z = (64 -38)/3 = -1.333
P(x) = 0.0912
x = 65 in
z = (65 - 68)/3 = -1
P(x) = 0.1587
x = 71:
z = (71-68)/3 = 1
P(x) = 0.8413
Part (a)
For x > 72 in, obtain
300 - 300*0.9088 = 27.36
Answer: 27
Part (b)
For x ≤ 64 in, obtain
300*0.0912 = 27.36
Answer: 27
Part (c)
For 65 ≤ x ≤ 71, obtain
300*(0.8413 - 0.1587) = 204.78
Answer: 204
Part (d)
For x = 68 in, obtain
z = 0
P(x) = 0.5
The number of students is
300*0.5 = 150
Answer: 150
ANSWER
The coordinates of the image are (2,2)
EXPLANATION
The mapping for a reflection across the line y=k is :
We want to find the image of the point (2,-4) after a reflection in the line y=-1.
In this case k=-1.
This simplifies to,
Hence the image is (2,2)
Since each stapler costs 16.99, the total cost is 16.99*x, with x representing the number of staplers bought. This works due to that he adds 16.99 for every stapler, and multiplying it adds 16.99 each time he buys a new stapler
