Answer:
1) 78.87%
2) 99.7%
Step-by-step explanation:
The z-score for a normal distribution is given by:

1- The given data is:
σ = 4 years
μ = 50 years
For X = 45 and X =55

A z-score of -1.25 corresponds to the 10.57th percentile of a normal distribution, while a z-score of 1.25 is equivalent to the 89.44th percentile.
Therefore, the percentage of the alligators are between 45 and 55 years old is:

78.87% of alligators.
2- The given data is:
σ = 2 minutes
μ = 17 minutes
For X = 11 and X =23

A z-score of -3.0 corresponds to the 0.135th percentile of a normal distribution, while a z-score of 3.0 is equivalent to the 99.865th percentile.
Therefore, the percentage of people that should be seen by the doctor between 11 and 23 minutes is:

99.7% of people.
Answer:
x = -3/14
Step-by-step explanation:
1/2(2x-1) = -1/7 -4/7
Combine like terms
1/2(2x-1) = -5/7
Multiply each side by 2
2*1/2(2x-1) = -5/7*2
2x-1 = -10/7
Add 1 to each side
2x-1+1 = -10/7 +1
2x = -10/7 +7/7
2x = -3/7
Divide by 2
2x/2 = -3/7 *1/2
x = -3/14
Answer:
(0,5)
Step-by-step explanation:
Perpendicular lines have slopes which are negative reciprocals of each other. The slope of the line y=1/2x + 6 is 1/2. The slope perpendicular to it is -2.
Using m=-2, substitute it and (4,-3) into the point slope form and simplify to find the y-intercept.

The equation is now in slope intercept form y=mx+b and b is the y-intercept. The y-intercept of y=-2x+5 is (0,5).
Answer:
C. g(x) + (-3x + 1)2
Step-by-step explanation:
did the test for it
Answer:
20qrt/s / as in over
Step-by-step explanation: