Dover Motors is a car dealership that sells new and used cars. Suppose they sold 140 used cars during the first quarter of 2011.
The average selling price was $10,325 with a standard deviation of $2,880. A random sample of 60 used cars from this population was selected. What is the probability that the sample mean exceeds $10,000?
1 answer:
Answer:
The probability that the sample mean exceeds $10,000 is 0.8078.
Step-by-step explanation:
The objective of the problem is obtained below:
From the given information, let X denotes the number of used cars which follows normal distribution with mean 10,325 and the standard deviation of 2,880 and sample size is 60 used cars. That is, u=10,325,δ = 2,880 and n=60
are used to estimate the probability that the sample mean exceeds 10,000.
See attached pictures.
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Answer:
The coordinates of image are A'(-2,1), B'(1,0) and C'(-1,0).
Step-by-step explanation:
From the figure it is clear that the coordinates of triangle are A(0,0), B(1,3) and C(1,1).
∆ABC is translated 2 units down and 1 unit to the left.
Then it is rotated 90° clockwise about the origin to form ∆A′B′C′.
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Answer:
4.979044478499338 × 10²⁶
Step-by-step explanation:
Combination can be used to determine the number of ways the mice can be selected for the drugs (A, B) and the control group.
Combination factorial is define by ⁿCr =
21 group of mice receiving Drug A can be selected in ⁶⁰C₂₁ =
(60 - 21 = 39 ) mice remained for selection of 21 mice for the second drug
Drug B 21 mice can be chosen with ³⁹C₂₁ =
( 39 - 21 = 18) remained for control with ¹⁸C₁₈ =
The number of ways the mice can be chosen for drug A, drug B and the control = ⁶⁰C₂₁ × ³⁹C₂₁ × ¹⁸C₁₈ = ×
×
= 4.979044478499338 × 10²⁶