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3 years ago

11

Jack Mason drove 6,000 miles last year. He had variable costs of $1,000 and fixed costsof $1,250. What is the annual cost and th

e cost per mile(to the nearest cent)

1 answer:

Ganezh [65]3 years ago

7 0

Answer: 2.66 or 2.6 cents per mile and the annual cost is 2250

Step-by-step explanation: 6000 divided by 2250 = 2.66 and I got 2250 from 1000+1250 and divided it from 6000 because of the annual cost being 2250

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A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a s

Umnica [9.8K]

Answer:

88.51 is the minimum score needed to receive a grade of A.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73

Standard Deviation, σ = 11

We are given that the distribution of exam grades is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.0793.

$P( X \geq x) = P( z \geq \displaystyle\frac{x - 73}{11})=0.0793$

$= 1 -P( z \leq \displaystyle\frac{x - 73}{11})=0.0793$

$=P( z \leq \displaystyle\frac{x - 73}{11})=0.9207$

Calculation the value from standard normal z table, we have,

$P(z \leq 1.410) = 0.9207$

$\displaystyle\frac{x - 73}{11} = 1.410\\x =88.51$

Hence, 88.51 is the minimum score needed to receive a grade of A.

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Answer:

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Step-by-step explanation:

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