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makkiz [27]
3 years ago
6

A pair of sneakers cost $45 now. What would be the cost of the sneakers in ten years if the inflation rate is 7%? Estimate your

answer to the nearest whole number.
Mathematics
1 answer:
Vika [28.1K]3 years ago
3 0
The inflation rate would increase the price of the sneakers to $88.52.
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user100 [1]

Answer:

Step-by-step explanation:

If ΔABC ~ ΔPQR

\frac{PQ}{AB} =\frac{QR}{BC} = \frac{RP}{CA}

or

\frac{AB}{PQ} =\frac{BC}{QR} =\frac{CA}{RP}

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3 years ago
Q6. (15 points) IQ examination scores of 500 members of a club are normally distributed with mean of 165 and SD of 15.
melamori03 [73]

Answer:

a) 0.8413

b) 421

c) P_{95} = 189.675

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 165

Standard Deviation, σ = 15

We are given that the distribution of  IQ examination scores is a bell shaped distribution that is a normal distribution.

Formula:

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

a) P(IQ scores at most 180)

P(x < 180)

P( x < 180) = P( z < \displaystyle\frac{180 - 165}{15}) = P(z < 1)

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

P(x < 180) = 0.8413 = 84.13\%

b) Number of the members of the club have IQ scores at most 180

n = 500

\text{Members} = n\times \text{P(IQ scores at most 180)}\\= 500\times 0.8413\\=420.65 \approc 421

c) P(X< x) = 0.95

We have to find the value of x such that the probability is 0.95

P( X < x) = P( z < \displaystyle\frac{x - 165}{15})=0.95  

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

P(z < 1.645) = 0.95

\displaystyle\frac{x - 165}{15} = 1.645\\\\x = 189.675  

P_{95} = 189.675

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