Answer:
volume = 1134.6 cm³
Step-by-step explanation:
volume = 8.2 x 13.7 x 10.1 = 1134.6 cm³
Given that
the weight of football players is distributed with a mean of 200 pounds and a standard deviation of 25 pounds.
And we need to find What is the minimum weight of the middle 95% of the players?
Explanation -
Using the Empirical Rule, 95% of the distribution will fall within 2 times of the standard deviation from the mean.
Two standard deviations = 2 x 25 pounds = 50 pounds
So the minimum weight = 200 pounds - 50 pounds = 150 pounds
Hence the final answer is 150 pounds.
Answer: the number of shoppers on the first day is 125
Step-by-step explanation:
The number of shoppers is 20% more than the numbers of shoppers the day before. It means that the number of shoppers is increasing in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as
Sn = (ar^n - 1)/(r - 1)
Where
n represents the number of term in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
r = 1 + 20/100 = 1.2
n = 4(first 4 days)
S4 = 671
Therefore, the expression for the first 4 days is
671 = (a × 1.2^(4) - 1)/1.2 - 1
671 = (a × 1.2^(4) - 1)/0.2
671 = 1.0736a/0.2
671 = 5.368a
a = 671/5.368
a = 125
36/20 is 180%
I hope this helps!