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castortr0y [4]
2 years ago
5

If one person runs 8.1 miles per hour in one direction and another with a speed of 6.3 in an other direction how many hours woul

d have gone by if they are 20.16 miles apart
Mathematics
1 answer:
djverab [1.8K]2 years ago
7 0

Answer:

1.4 hours

Step-by-step explanation:

Runner A:

Speed = 8.1 mph

Time, = t

Runner B :

Speed = 6.3 mph

Time, = t

Distance apart = 20.16 miles

Distance = speed * time

Distance of Runner A + Distance of runner B = distance apart

8.1t + 6.3t = 20.16

14.4t = 20.16

t = 20.16 / 14.4

t = 1.4 hours

Number of hours, t = 1.4 hours

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A

Step-by-step explanation:

4 0
3 years ago
A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a
antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so X = 1070

SAT scores have a mean of 950 and a standard deviation of 155. This means that \mu = 950, \sigma = 155.

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

Z = \frac{1070 - 950}{155}

Z = 0.77

ACT:

Scored 25, so X = 25

ACT scores have a mean of 22 and a standard deviation of 4. This means that \mu = 22, \sigma = 4

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

Z = \frac{25 - 22}{4}

Z = 0.75

Due to the higher z-score, he did better on the SAT.

8 0
3 years ago
It takes 2 workers 6 days to paint a mansion. How many days would it take 4
marishachu [46]

Answer:

2 workers = 6 days

4 workers = 3 days

Step-by-step explanation:

If it takes 2 workers 6 days, if you seep up the process with 4 workers, you would divide the days by 2 because you multilpied the workers by 2. So, it would take 3 days with 4 workers. I hope that makes sence.

4 0
2 years ago
Question 3
Sladkaya [172]

Answer:

(x+6)(x+2) is the factored equation

(-6, -2) is the coordinates

Step-by-step explanation:

find what multiplies to be 12 and adds to be 8

set each factor equal to 0 and solve for x, which is the coordinates

5 0
3 years ago
John can ride his bicycle at a rate of 14 miles per hour. Convert this rate to feet per second_
azamat

Answer:

Step-by-step explanation:

Givens

r = 14 miles / hour

Problem

Convert to feet per second.

Solution

Later on, you will learn how to solve these kinds of conversion problems using a method called Unit Analysis. Since you likely have not been taught this method, will just use proportions.

1 mile = 5280 feet

14 miles = x                          Cross multiply

x = 14 * 5280                       Simplify

x = 73920 feet

1 hour = 3600 seconds

Answer

r = 73920 feet / 3600 seconds

r = 20.533 feet  / secpmd

7 0
1 year ago
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