Answer:
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Step-by-step explanation:
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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:
30 degrees
Step-by-step explanation:
To figure out theta is using a bit of simple trigonometry.
2sin(theta) = 1
= sin(theta) = 0.5
Using arcsin (sin^-1) we can isolate x
x = arcsin(0.5)
x = 30
Answer:
B. 4/11
Solution:
Gradient=(y1-y2)/(x1-x2)
Gradient=(6-2)/(4-(-7)) =4/11
Answer:
Step-by-step explanation:
(8,2),(11,-13)
slope(m) = (-13 - 2) / (11 - 8) = -15/3 = -5
y = mx + b
slope(m) = -5
(8,2)...x = 8 and y = 2
now we sub and find b, the y int
2 = -5(8) + b
2 = -40 + b
2 + 40 = b
42 = b
so ur equation is : y = -5x + 42...now we need it in standard form
Ax + By = C
y = -5x 42
5x + y = 42 <====