Answer:
68% of an investment earning a return between 6 percent and 24 percent.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 15
Standard deviation = 9
How likely is it to earn a return between 6 percent and 24 percent?
6 = 15 - 1*9
6 is one standard deviation below the mean
24 = 15 + 1*9
24 is one standard deviation above the mean
By the empirical rule, there is a 68% of an investment earning a return between 6 percent and 24 percent.
Answer:
x = 17
Step-by-step explanation:
The car was towed 44miles (162 - 30 = 132. 132 divided by 3 = 44)
48 = 6x8 , use key words “48 is” indicates that it’s 48 = and then 6 times greater than 8 indicates 6x8 ( is means equals, and times means multiplication )
Answer:
angle B = 58
Step-by-step explanation:
Complementary means that both angles add up to 90°.
Both angles are 9x-40 and 2x+42. Sum of both equal 90°
9x-40+2x+42=90
Combine like terms — we get:
11x+2=90
11x=90-2
11x=88
x = 8
Since we want to find angle B, substitute x = 8 in 2x+42
angle B = 2(8)+42
= 16+42
= 58
Therefore, angle B is 58.