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Bumek [7]
3 years ago
13

C.is decrease by 1 foot every 500 miles D. Is decrease by 1 foot every 1000 miles

Mathematics
1 answer:
Tasya [4]3 years ago
4 0

Answer:

Option A

Step-by-step explanation:

Slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

Slope = \frac{y_2-y_1}{x_2-x_1}

Line shown in the graph is passing through two points (2, 8000) and (4, 7000).

Therefore, slope of the given line = \frac{8000-7000}{2-4}

                                                        = -500 feet per mile

Which means, altitude decreases by 500 ft every mile.

(Negative sign represents the decrease)

Option A is the correct option.

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The travel time on a section of a Long Island Expressway (LIE) is normally distributed with a mean of 80 seconds and a standard
user100 [1]

Answer:

The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 80 seconds and a standard deviation of 6 seconds.

This means that \mu = 80, \sigma = 6

What travel time separates the top 2.5% of the travel times from the rest?

This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a p-value of 0.975, so X when Z = 1.96.

Z = \frac{X - \mu}{\sigma}

1.96 = \frac{X - 80}{6}

X - 80 = 6*1.96

X = 91.76

The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.

3 0
3 years ago
Wyatt is training for a race. He will run 3/4 of a mile a day for 8 days. How far will Wyatt run altogether?
Natasha2012 [34]

Answer:

6 miles

Step-by-step explanation:

3/4 x 8

=6

8 0
3 years ago
5 divided by 9.75, 0.5 divided by 4.25, 38.5 divided by 0.5.
melamori03 [73]

Answer:

0.5128

0.1176

77

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
If the sum of three consecutive multiples of 7 is 945. Find the smallest among them​
Firlakuza [10]

consider first number is = x

formula,

(n / 2)(first number + last number) = sum,

7/2(x+x+6)= 945

2x+6= 945×2/7

2x+6 = 270

2x= 270-6

x=264/2= 132

Answer the smallest number is 132.

8 0
3 years ago
I need help with this question
mr Goodwill [35]

Answer:

It would be 1.5m+4 is greater than or equal to 7. This is because 1.5m is the regular rate of growth, plus the 4cm already grown. She wants the hair to be no shorter than 7cm. So, the 15m+4 has to be greater than the 7cm.

Step-by-step explanation:

5 0
3 years ago
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