Answer:
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Step-by-step explanation:
Based on Janice average, she spent $50 at the last store.
Let a, b, c, d, e represent the money spent on the five stores respectively.
Since she spent an average of $30 at each store, hence:
(a + b + c + d + e) / 5 = 30
(a + b + c + d + e) = 150
She spent $100 on the first four stores, hence:
a + b + c + d = 100
(a + b + c + d + e) = 150
100 + e = 150
e = 50
Hence based on Janice average, she spent $50 at the last store.
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Answer:
The probability that the sample proportion is between 0.35 and 0.5 is 0.7895
Step-by-step explanation:
To calculate the probability that the sample proportion is between 0.35 and 0.5 we need to know the z-scores of the sample proportions 0.35 and 0.5.
z-score of the sample proportion is calculated as
z=
where
- p(s) is the sample proportion of first time customers
- p is the proportion of first time customers based on historical data
For the sample proportion 0.35:
z(0.35)=
≈ -1.035
For the sample proportion 0.5:
z(0.5)=
≈ 1.553
The probabilities for z of being smaller than these z-scores are:
P(z<z(0.35))= 0.1503
P(z<z(0.5))= 0.9398
Then the probability that the sample proportion is between 0.35 and 0.5 is
P(z(0.35)<z<z(0.5))= 0.9398 - 0.1503 =0.7895
Answer: Angle is 3
Step-by-step explanation:
16x - 27 = 5x + 6
-5x -5x
______________
11x - 27 = 6
+ 27 +27
___________
11x = 33
__ __
11 11
x = 3