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: 420
387420489
Step-by-step explanation:
9^7: 4782969
9^2: 81
81 x 47 = 387420489
There are certain rules to follow when rotating a point 90 deg clockwise. Since it is given that ABCD is a parallelogram and the coordinates of point C are given, we just have to follow this simple relation:
R(90 deg) : (X,Y) ---> (-Y,X)
Using the given coordinates:
R(90 deg<span>) : (-4,1) ---> (-1,-4)
</span>
Therefore, Point C' will be located at (-1,-4)
Given:

To find:
The steps to solving the given inequality.
Solution:
We have,

Subtract 8 from both sides.


Divide both sides by 3.


Two steps are:
1. Subtract 8 from both sides of the inequality.
2. Divide both sides of the inequality by 3.
Therefore, the correct option is A.
If 3 cups is 20% of the whole mixture, then you multiply both numbers by 5 to find the total amount of juice. 3•5=15 cups of juice