Pascal's triangle up to the 5th iteration is

This tells us

so the second term in the expansion is

Number of feet in a mile multiplied by the percentage (7/11) equals number of feet in the 7/11 portion of a mile.
=5280 * 7/11
=(5280*7)/11
=36,960/11
=3,360 feet in 7/11 mile
Hope this helps! :)
N^2 - 4n + n^2 + 8n = n^2 - 13n + n^2 + n + 16
-4n + 8n = -13n + n + 16
-4n = -12n + 16
4n + 12n = 16
16 = 16
n = 1
Answer:
31.92%
Step-by-step explanation:
We are given;
Population mean; μ = $3.12
Sample mean; x¯ = $3.16
Sample size; n = 10
Standard deviation; σ = $0.27
Z-score formula is; z = (x¯ - μ)/(σ/√n)
z = (3.16 - 3.12)/(0.27/√10)
z = 0.04/(0.08538)
z ≈ 0.47
Now, the percent of other sample means, based on 10 gas stations, that would be greater than the one observed is;
P(x¯ > 3.12) = 1 - P(z < 0.47)
From z-table attached P(z < 0.47) = 0.68082
Thus;
P(z > 0.47) = 1 - 0.68082
P(z > 0.47) ≈ 0.3192
This expressed in percentage is 31.92%
Answer:
10
Step-by-step explanation:
Determinant = ad - bc
