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Naya [18.7K]
2 years ago
9

A van got stalled in front of your house. The driver asked barangay officials to help him push the van to get moving. They used

a total force of 1,200 newtons. After pushing the Van for 15 minutes, they were able to move the van 150 meters away from your house.
How much power did the volinteers use to pushe the van?
Mathematics
1 answer:
aleksley [76]2 years ago
6 0

It should be noted that the power that the volunteers use to pushe the van is 200 watts.

<h3>How to calculate the power?</h3>

From the information, they used a total force of 1,200 newtons and ater pushing the Van for 15 minutes, they were able to move the van 150 meters away from your house.

It should be noted that power is calculated as:

Power = Force × Displacement / Time

Force = 1200 Newton

Displacement = 150 meters

Time = 15 minutes = 15 × 60 = 900 seconds.

Therefore, the power that the volunteers use to pushe the van is:

Power = Force × Displacement / Time

=(1200 × 150) / 900

= 200 Watt.

Therefore, it should be noted that the power that the volunteers use to pushe the van is 200 watts.

Learn more about power on:

brainly.com/question/1634438

#SPJ1

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Candice is preparing for her final exam in Statistics. She knows she needs an 65 out of 100 to earn an A overall in the course.
sertanlavr [38]

Answer:

a. 72

b. 816

c. 570

d. 30

Step-by-step explanation:

Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.

Please refer the figure for a better understanding.

a. In a normal distribution, Mean = Median = Mode

Therefore, Median = Mean = 72

b. We have to know that 68% of the values are within the first standard deviation of the mean.

i.e., 68% values are between Mean  Standard Deviation (SD).

Scores between 63 and 81 :

Note that 72 - 9 = 63 and

72 + 9 = 81

This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.

Now, Scores between 63 and 81 =  

= 68 X 12 = 816.

That means 816 students have scored between 63 and 81.

c. We have to know that 95% of the values lie between second Standard Deviation of the mean.

i.e., 95% values are between Mean  2(SD).

Note that 90 = 72 + 2(9) = 72 + 18

Also, 54 = 63 - 18.

Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to  of the values.

Therefore, Scores between 72 and 90 =  

= 570.

That is a total of 570 students scored between 72 and 90.

d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.

In this case, 5 % of the values lie between below 54 and above 90.

Since, we are asked to find scores below 54. It should be 2.5% of the values.

So, Scores below 54 =  

= 2.5 X 12 = 30.

That is, 30 students have scored below 54.

Step-by-step explanation:

8 0
3 years ago
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Jesse used of a can of broth in his recipe. Maddy used of a same-sized can of broth in her recipe. Which statement is true? A. J
Paha777 [63]
It c they both used the same amount of broth
7 0
4 years ago
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The volume of a gift box is 972 in. The height of the gift box is 12 inches
Serggg [28]

Answer:

The length of each side of the 9 in

Step-by-step explanation:

The volume of the gift box is 972 in. The height of the gift box is 12 inches

and the area of the base is 81 in².

We want to determine the length of each side of the square base if the base shape is a square.

Recall that, the area of a square is

{l}^{2}

It was given that, the area of this base is 81 in²

{l}^{2}  = 81

Take positive square root:

l =  \sqrt{81}  = 9in

5 0
4 years ago
Solve for a. 1/3(21-3a)=6-a
OverLord2011 [107]

Answer:

no solution

Step-by-step explanation:

Given

\frac{1}{3} (21 - 3a) = 6 - a ( multiply through by 3 to clear the fraction )

21 - 3a = 18 - 3a ( subtract 21 from both sides )

- 3a = - 3 - 3a ( add 3a to both sides )

0 = - 3 ← not possible

This indicates the equation has no solution

5 0
4 years ago
2. Your bank account has $15 in it. You deposit $3 per day. How much money is in your account after 5 days?
vova2212 [387]

Answer:

30 dollars. I think

Step-by-step explanation:

3x5=15

15+15=30

3 0
3 years ago
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