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
14(8-W)=0
(14*8)-(14*W)=0
112-14W=0
-112 -112
------------------- The answer is 8
-14W= -112
-14W/(-14)= -112/(-14)
W=8
Answer:
B. (-3, -2)
Step-by-step explanation:
Multiply the first equation by -1/3 and add the result to the second equation.
-1/3(3x -3y) +(5x -y) = -1/3(-3) +-13
4x = -12 . . . . simplify
x = -3 . . . . . . divide by 4
Substituting this into -1/3 times the first equation, we get ...
-(-3) +y = 1
y = -2 . . . . . . . subtract 3
The solution is (x, y) = (-3, -2).
Bottom = 2x5 = 10ft
Middle = 2x6 ( 4+2) = 12
Top 4x2= 8
10ft+12ft+8ft= 30ft squared
The number line graph of 0.4 is here.
