Answer:

Step-by-step explanation:
The 90th percentile of a normally distributed curve occurs at 1.282 standard deviations. Similarly, the 10th percentile of a normally distributed curve occurs at -1.282 standard deviations.
To find the
percentile for the television weights, use the formula:
, where
is the average of the set,
is some constant relevant to the percentile you're finding, and
is one standard deviation.
As I mentioned previously, 90th percentile occurs at 1.282 standard deviations. The average of the set and one standard deviation is already given. Substitute
,
, and
:

Therefore, the 90th percentile weight is 5.1282 pounds.
Repeat the process for calculating the 10th percentile weight:

The difference between these two weights is
.
The box was filled with exactly 125 unit cubes because volume means it has to be filled.
Hope this helps! <span>\(≧▽≦)/</span>
Answer: b is the correct answer.
Step-by-step explanation:
Answer:
a) the mean is $53.50
b) it is a statistic
Step-by-step explanation:
mean = ∑fx/∑f
∑f = 20
mean = (sum of the terms) ÷ (number of terms)
mean = (53+49+54+50+21+46+75+45+63+76+61+63+36+34+54+63+37+62+66+62) ÷ 20 = 1070/20
=$53.50
b) it is statistics because it is a random sample of 20 residential customers not the actual population
Answer:
q = 9
Step-by-step explanation:
5 + 3(q - 4) = 2(q + 1)
To solve, you need to get q by itself on one side.
5 + 3q - 12 = 2q + 2 --- distribute the multipliers next to the parenthesis
3q - 7 = 2q + 2 --- combine like terms
q - 7 = 2 --- subtract 2q from both sides
q = 9 --- add 7 to both sides