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weqwewe [10]
2 years ago
10

Kay is running a 13.5 km race. If she runs at a rate of 8 2/5 km/he for 1.5 hours, how many kilometers will she have left to run

to finish the race?
Mathematics
1 answer:
Monica [59]2 years ago
7 0

The number of kilometers she will have left to run to finish the race is 0.9 km.

<u>Given the following data:</u>

  • Total distance = 13.5 km
  • Speed = 8\frac{2}{5} \;km/hr
  • Time = 1.5 hours

To determine the number of kilometers she will have left to run to finish the race:

First of all, we would calculate the distance she has covered by using this formula;

Distance = speed \times time\\\\Distance = 8\frac{2}{5} \times 1.5\\\\Distance = \frac{42}{5} \times \frac{3}{2} \\\\Distance = \frac{63}{5}

Distance = 12.6 meters.

<u>For the </u><u>distance left</u><u>:</u>

Distance\;left = Total\;distance - Distance\;covered\\\\Distance\;left =13.5 -12.6

Distance left = 0.9 km.

Learn more about distance here: brainly.com/question/10545161

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Suppose that scores on an aptitude test are normally distributed with a mean of 100 and a standard deviation of 4.6. Scores on a
DerKrebs [107]

Answer:

<u>The correct answer is C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

Step-by-step explanation:

1. Let's check all the information given to us to answer the question correctly:

Mean of the scores on the aptitude test = 100

Standard deviation of the aptitude test = 4.6

Felix's score on the aptitude test = 106

Mean of the scores on the knowledge test = 70

Standard deviation of the knowledge test = 2.4

Felix's score on the knowledge test = 75

2. Which statement best describes Felix's scores on the two tests comparatively?

Let's recall that z-score in a normal distribution, positive or negative, is the number of times of the standard deviation a certain element is from the mean. If the element is below the mean, then the z-score is negative and if it's above the mean, then the z-score is positive.

Therefore, a score of 106 on the aptitude test, will have the following z-score:

106 - 100 = 6 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

6/4.6 = 1.30

A score of 75 on the knowledge test, will have the following z-score:

75 - 70 = 5 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

5/2.4 = 2.08

The z-scores of Felix were 1.30 on the aptitude test and 2.08 on the knowledge test. He performed better on the aptitude test because 2.08 > 1.30, so the correct statement that best describes Felix's scores on the two tests comparatively is<u> C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

6 0
3 years ago
Whats the answer to this ?
8090 [49]

Answer: 312 ft^{2}

Step-by-step explanation:

Area of Rectangle = bh = 16 ft x 18 ft  = 288 ft^{2}

Area of Triangle = 1/2 bh = 1/2 x (16-12) ft x (6) ft x 2 (There's 2 triangles) = 24 ft^{2}

24 ft^2 + 288 ft^2 = 312 ft^2

8 0
2 years ago
Mr.Johnson leaves on a trip planning to travel 24 mph
Artist 52 [7]
Ummm is this a full question?
4 0
3 years ago
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Jennifer buys a block of clay for an art project. The block is shaped like a cube with edge lengths of 12 inches.
Gnoma [55]

Answer:

Volume of block Jennifer bought:

V = side^3 = 12 x 12 x 12 = 1728 (in3)

Volume of sphere Jennifer wanted to make:

V = (4/3) x pi x radius^3 = (4/3) x pi x (4/2)^3 = 33.5 (in3)

a, The number of spheres she can make:

N = 1728/33.5 = 51.58 = ~51

b, The area of remaining clay after she made a sphere:

A = 1728 - 33.5 = 1694.5 (in3)

Hope this helps!

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7 0
3 years ago
Which equation tells you the value in the truck pattern that is created from 26 squares?
Genrish500 [490]

Answer:  26=3x+2

Step-by-step explanation:

HOPE THIS HELPS =)

6 0
2 years ago
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