Question options :
a. They should be between 64 and 76 inches tall.
b. They should be close to the height that is 95% of the mean. That is, 66.5 inches, plus or minus 2 standard deviations.
c. They should be at or below the 95th percentile, which is 74.92 inches.
d. None of the above.
Answer: a. They should be between 64 and 76 inches tall.
Step-by-step explanation:
Given the following :
Assume men's height follow a normal curve ; and :
Mean height = 70 inches
Standard deviation= 3 inches
According to the empirical rule ;
Assuming a normal distribution with x being random variables ;
About 68% of x-values lie between -1 to 1 standard deviation of the mean. With about 95% of the x values lying between - 2 and +2 standard deviation of mean. With 99.7% falling between - 3 to 3 standard deviations from the mean.
Using the empirical rule :
95% will fall between + or - 2 standard deviation of the mean.
Lower limit = - 2(3) = - 6
Upper limit = 2(3) = 6
(-6+mean) and (+6+ mean)
(-6 + 70) and (6+70)
64 and 76
Answer:
.006 as a percentage is .6%
Step-by-step explanation:
Multiply your number by 100 to get the percentage.
.006 x 100 = .6
Therefore, your answer is .6%.
Answer:
A = 14.2/1.1 hours
B = 5.091 hours
Step-by-step explanation:
Formulate 2 simultaneous equations
5.7A + 6.8B = 111.40..........(1)
A +B =18...............................(2)
Multiply each item in (2) by 5.7 to get
5.7A + 5.7B = 97.2............(3)
subtract (1) - (3) on each side
5.7A -5.7A + 6.8B - 5.7B = 111.40 -97.2
1.1B = 14.2
B = 14.2 /1.1
to get A use equation (2)
A = 18 - B
A = 18 - 14.2/1.1 = 5.091
Answer:
D: 8
Step-by-step explanation:
7 + (2 + 6) ^2 ÷ 4 ⋅ (1/2)^4
According to PEMDAS
We to parentheses first
7 + (8)^ 2 ÷ 4 ⋅ (1/2)^4
Then we do exponents
7 + 64 ÷ 4 ⋅ (1/16)
The multiply and divide from left to right
7+64 ÷ 4 ⋅ (1/16)
7+16 ⋅ (1/16)
Then add and subtract from left to right
7+1
8
Answer:
Step-by-step explanation:
