Answer:
0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with a mean of 2.5 feet and a standard deviation of 0.4 feet.
This means that 
Find the probability that an individual man’s step length is less than 1.9 feet.
This is the p-value of Z when X = 1.9. So



has a p-value of 0.0668
0.0668 = 6.68% probability that an individual man’s step length is less than 1.9 feet.
Answer:
33.32
Step-by-step explanation:
50/3=16.66
brian gets twice as collin
16.66*2=33.32
Answer:
B, D,
Step-by-step explanation:
- 0 has 3 dots
- 1 has 8 dots
- 2 has 7 dots
- 3 has 0 dots
- 4 has 4 dots
- 5 has 1 dot
Total number of dots: 23 =>
The center is 2 Wrong
The center is 1.5. True
There are no gaps. Wrong
It has a cluster at 0, 1, and 2. True
Hope it will find you well.
Let x represent the length of the shorter leg.
Longer leg: 5x +19
Hypotenuse: 5x +20
Pythagorean theorem:
.. x^2 +(5x +19)^2 = (5x +20)^2
.. x^2 +25x^2 +190x +19^2 = 25x^2 +200x +20^2 . . . . . . eliminate parentheses
.. x^2 -10x -39 = 0
.. (x -13)(x +3) = 0
.. x = 13 . . . . . . . . . . leg lengths must be positive
The side length of the triangle are 13, 84, 85 feet.
Answer:
Expected value E = $0.45
Step-by-step explanation:
Expected value E = P×w - P'×l
Where;
P = probability of making the next 2 throw.
P = 223/406 × 223/406 = 0.3017
P' = probability of not making a throw.
P' = 1 - P = 1 - 0.3017
P' = 0.6983
w = expected win = $20
l = Expected loss = $8
Substituting the values;
E = 0.3017 × $20 - 0.6983 × $8
E = $0.4476
Expected value E = $0.45