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:
y=3
-47.5
Step-by-step explanation:
I did it in my notebook.
Given:
In a right angle triangle,
Hypotenuse = 25 cm
Base = x
Angle between base and hypotenuse = 18 degrees.
To find:
The value of x.
Solution:
In a right angle triangle,
In the given right triangle,
Round the answer to the nearest hundredth (two decimal).
Therefore, the value of x is about 23.78 cm.
Answer:
Step-by-step explanation:
Let's convert this statement into a system of two equations
3 * (cost of a liter of milk) + 5 * (cost of a loaf of bread) = $11
4 * (cost of a liter of milk) + 5 * (cost of a loaf of bread) = $10
cost of a liter of milk = x
cost of a loaf of bread = y
3x + 5y = 11
4x + 4y = 10
You can now solve this using either substitution or elimination
I'll use elimination. Let's say I want to get rid of the x first. I need to choose numbers to multiply by the top and bottom equations to eliminat the x's. The easiest way to do this is to multiply them by each other. So we'll multiply the top by 4 and the bottom by 3. We'll need to make sure the signs are opposite as well so I'll make that a negative 3 on the bottom.
4 * (3x + 5y = 11)
-3 * (4x + 4y = 10)
12x + 20y = 44
-12x - 12y = -30
Now add straight down
0x + 8y = 14
8y = 14
y = 14/8 = $1.75
Now we can plug this back in to either equation to find the x. I'll choose the second equation
4x + 4*(1.75) = 10
4x + 7 = 10
4x = 3
x = 3/4 = $0.75
So, cost of a liter of milk = x = $0.75
and cost of a loaf of bread = y = $1.75
This is easy all you have to do is use the formula of the volume which is v=l.h.w
(X+9)(x+4)(x+5)= v
(X+9)(x^2+9x+20)
X^3+18x^2+101x+180=v
