The answer is √173
explanation:
let the diagonal = X
by using Pythagoras’s theorem
X² = 11² + 15²
X² = 346
let the side length of square is L
X² = L² + L²
346 = 2 L²
L² = 173
L = √173
Answer:
X = 12
Y = 4
Step-by-step explanation:
X + Y = 16
X = 3Y
3Y + Y = 16
4Y = 16
Y = 4
X + 4 = 16
X = 12
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Answer:
B
Step-by-step explanation:
My power of guesssing :)
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
