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AlexFokin [52]
3 years ago
15

Use the distributive property to simplify the expressions (please help)

Mathematics
1 answer:
asambeis [7]3 years ago
4 0
(This is in order)
8b+20
18+6y
21T+28
14+6a
3x+9+36 or 3x+45



3(5p+8)
4(8x +11)
3(3+11n)
6(7+5k)
1(7u+63+90a)
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A force of 3 pounds acts in the direction of 42 degrees to the horizontal. The force moves an object along a straight line from
EastWind [94]

Answer:

11.37 lb-ft

Step-by-step explanation:

We are given that

Force,F=3 pounds

\theta=42^{\circ}

Let Point  A (3,7)  and point B(8,8)

We have to find the work done by the force.

d==

r=\mid d\mid=\sqrt{x^2+y^2}=\sqrt{5^2+1^2}=\sqrt{26} feet

We know that Work done by the force

W=Frcos\theta

Substitute the values

W=3\times \sqrt{26}cos42=11.37 lb-ft

Hence, the work done by the force =11.37 lb-ft

6 0
3 years ago
Please help me interpret the p-value!
alexandr402 [8]

The correct interpretation of the p-value is given by:

B If the average battery life really is 5 hours, then a sample of 10 observations having a sample mean of 4.25 hours or lower would only occur about 3.8% of the line.

<h3>How to find the p-value of a test?</h3>

It depends on the test statistic z, as follows:

  • For a left-tailed test, it is the area under the normal curve to the left of z, which is the p-value of z.
  • For a right-tailed test, it is the area under the normal curve to the right of z, which is 1 subtracted by the p-value of z.
  • For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is 2 multiplied by 1 subtracted by the p-value of z, which means that the p-value for a two-tailed test is twice the p-value of a one-tailed test.

In this problem, a left-tailed test is used, as we are testing if the mean is less than 5 hours.

The sample mean from the 10 times was of 4.25, and the p-value is of 0.038, which means that the area to the left of Z under the normal curve is of 0.038, that is, a sample mean of 4.25 hours or lower would only occur about 3.8% of the line, hence option B is correct.

You can learn more about p-values at brainly.com/question/13873630

3 0
2 years ago
What is the answer to the problem
andreyandreev [35.5K]
1.5x7 = 10.5 cups per week

I don't know how to convert it. probably a decimal or fraction.

here's how to convert, 10.5/16 = # gallon(s)
7 0
3 years ago
13) A ball is dropped from a height of 64 feet.
zalisa [80]

Answer:

85

Step-by-step explanation:

64+16+4+1= 85 is the total distance i believe

6 0
2 years ago
Help me with this?<br> ______________
Simora [160]

Answer:

Austin will have to buy 180 squares of carpeting.

Step-by-step explanation:

First find the dimension of the room. We do that by multiplying the width times the length and then subtracting the cut out region in the top right. And, in order to know how big that region we cut out is, we have to do a little subtraction.

We know the room is 18' long on the left side and 12' long on the right side. We subtract 12 from 18 to get 6, and we know that the cut out region is 6' long. We do the same thing with the width, 25' wide at the bottom minus 10' wide at the top and we see that the cut out is 15' wide.

18 x 25 = 450

6 x 15 = 90

450 - 90 = 360. The area of the room is 360 ft^{2}

Each piece of carpet is 2' by 1'. So for every 2' long, the piece of carpet is 1' wide. Each carpet piece will cover 2 ft^{2}. Divide 360 by 2 and you get 180.

5 0
3 years ago
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