Answer:
0.002
Step-by-step explanation:
We need to estimate the standard error of the mean, so we can use it as a standard deviation of the sample of 50 males.
Standard error of the mean = standard deviation/√n
Standard error of the mean = 32/√50 = 4.52
Now we can use this Standard error of the mean to estimate z as follows:
Z = (x – mean)/standard deviation
Z = (190-177)/4.52
Z = 2.87
Using a Z table we can find probability that mean is under 190
P (z<190)= 0.998
For the probability that the mean exceed 190 lbs we substract from 1
P(z>190) = 1 - 0.998 = 0.002
Answer:
C. 
Step-by-step explanation:
Alan and his classmates found that the line of best fit through the data had the equation 
The slope of this line is 
If a line would intersect this line of best fit at right angles, then the two lines are perpendicular to each other.
The slopes of perpendicular lines are negative reciprocals of each other,
Hence that line must have slope 
Therefore we look for a line whose slope is
from the given options.
That line is the third option 
Answer:
A, B, E
Step-by-step explanation:
The attachment shows a graph of the function. It tends to infinity for x going to infinity in either direction. (A, B are true)
The right-side piece is cubic, not quadratic.
The U-shape tells you the function is decreasing on the left side.
The two function definitions have the same value at x=2, so the function has no discontinuities. It is continuous. (E is true)
Y=2x^3 is nonlinear, since it's a cube equation. y=x+5 is linear, because it's a line with y intercept (0,-5) and slope 1. y=\sqrt(x-5) is nonlinear, because it's a quadratic equation when reversing x and y. 5x+5y=25 is equal to x+y=5 ot y=-x+5, which is also linear. y=x^2/2 is a quadratic equation, so it's nonlinear.