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: x = 16°
Step-by-step explanation:
- This is a right triangle, which means all angles add up to 180°.
- One of the angle is already determined to be 90°, that means the sum of the other two angles must also be 90° in order to meet a total of 180°.
This means (x+26)° + 3x° = 90°.
Solve for x:
x + 26 + 3x = 90
x + 3x = 90 - 26
4x = 64
x = 64 ÷ 4 = 16°
Answer:
24 inches
Step-by-step explanation:
Answer:
22.5 square feet
Step-by-step explanation:
Hope this helps.
Like terms" refers to individual terms that have the same variable in them. Also, the variable in
any "like terms" is raised to the same power.
For example: 3x and 10x are like terms (both have the variable x, raised to the 1st power). 14a2 and ba2 are also like terms (both have the variable a, raised to the 2nd power)
