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docker41 [41]
3 years ago
14

On a bicycle, Laura started 4 miles from her house and rides 4 miles per hour away from her house.

Mathematics
1 answer:
mash [69]3 years ago
4 0

Answer:

d = 4 + 4h

Step-by-step explanation:

According to question d is the total distance from Laura's house at time h .

Initial distance from house = 4 miles

speed of Laura = 4 miles per hour

formula for distance = speed * time

distance covered when time is h hours = 4 miles per hour * h hours

                                                                  = 4h miles

Total distance from house is given as d, hence

d = Initial distance from house (4 miles) + distance covered when time is h hours (4h miles)

d = 4 + 4h

Thus, an equation to model this situation is d = 4 + 4h .

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Answer:

Grade B score:

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Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73.3

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P( X > x) = P( z > \displaystyle\frac{x - 73.3}{9.7})=0.62  

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

\displaystyle\frac{x - 73.3}{9.7} = 0.305\\\\x = 76.26  

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P(X < 0.95) = \\\\P( X < x) = P( z < \displaystyle\frac{x - 73.3}{9.7})=0.95

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

\displaystyle\frac{x - 73.3}{9.7} = 1.645\\\\x = 89.26  

Thus, the numerical value of score to achieve grade B is

76 \leq x \leq 89

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