Answer:
A) l = w + 900
B) l * w = 4,000,000
B) l = 4,000,000 / w putting this into A)
A) 4,000,000 / w = w + 900
A) 4,000,000 = w^2 +900 w
A) w^2 +900 w - 4,000,000
Solving by quadratic formula
width = 1,600 length = 2,500
Double-Check
1,600 * 2,500 = 4,000,000
Length = width + 900
2,500 = 1,600 + 900
Answer is okay
Step-by-step explanation:
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
So,
Simply divide 12 by 18.
The experimental probability of tossing heads was 2 out of 3.
