Answer:
Sample response: The Smith family has 2 choices to make, color
and style. By the fundamental counting principle, the product of the
number of choices of color and style must equal 8. So, there could be 1
color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles,
or 8 colors and 1 style.
Step-by-step explanation:
Answer:
18.67% of bills are greater than $131
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

What proportion of bills are greater than $131
This proportion is 1 subtracted by the pvalue of Z when X = 131. So



has a pvalue of 0.8133
1 - 0.8133 = 0.1867
18.67% of bills are greater than $131
Amount of clay used = volume of the sphere
It is given that the radius of the sphere is 2 inches.
Volume of the sphere = 



Hence, the amount of modeling clay Terrence used
cubic inches.
Answer:
Option "3" is the correct answer to the following question:
Step-by-step explanation:
Given:
Radius of cone (r) = 6 centimeter
height of cone (h) = 8 centimeter
slant height of cone (l) = 10 centimeter
Find:
Lateral surface area of the cone = ?
Computation:
⇒ Lateral surface area of the cone =
rl
⇒ Lateral surface area of the cone =
(6 centimeters) (10 centimeters)
⇒ Therefore, option "3" is the correct answer.