Arm span is the physical measurement of the length of an individual's arms from fingertip to fingertip. A man’s arm span is appr
oximately normally distributed with mean of 68 inches with a standard deviation of 3.7 inches. Find length in inches of the 97th percentile for a man’s arm span. Round answer to 2 decimal places
1 answer:
Answer:
The length for the 97th percentile for a man's arm span is 74.96 inches.
Step-by-step explanation:
We have a normal distribution for men's arm span, with mean of 68 inches and standard deviation of 3.7 inches.
The 97th percentil represents the value for which 97% of the observations are below.
We can search for the 97th percentile for the standard normal distribution. This will give a value z=1.88.
Then, we can convert this z-score to our distribution:
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The area of the triangle is = 3.4641 square feet.
Step-by-step explanation:
Step 1:
According to the Pythagorean theorem, the square of the hypotenuse will be equal to the sum of the squares of the other two sides.
In the given triangle, the hypotenuse is the side that is represented by c. The other sides on the triangle are represented by the values a and b.
Step 2:
Assume the other side of the triangle measures x units.
So according to the Pythagorean theorem,
So the other side of the triangle, b measures 2 feet.
Step 3:
The area of a triangle is half the product of its base length and height.
The base length of this triangle is feet and the height is 2 feet.
The area of the triangle
The area of the triangle is = 3.4641 square feet.