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LuckyWell [14K]
1 year ago
10

Suppose the coverage score on a national test is 500 with a standard deviation of 100. if each score is increased by 25, what ar

e the new mean and standard deviation?
Mathematics
1 answer:
Trava [24]1 year ago
8 0

The new man's age would be 525, however the standard deviation would remain the same.

<h3>What is standard deviation?</h3>

The Standard Deviation measures how evenly distributed numbers are. It has the sign (a Greek letter sigma) and the calculation is simple: it's the variance as a square root.

The average national test score is 500, for a standard deviation = 100.

Each score has been boosted by 25 points.

Let y = x + 25

where x is the old mean & y is the new score

E(x) = 500  and standard deviation (x) = 100 (given)

E(y) = E(x + 25)

     = E(x) + 25

     = 500 + 25

     = 525

Variable (y) = Variable (x + 25)

                  = Variable (x)

As, √variance y = √variance x

standard deviation(y) = standard deviation(x)

                                   = 100

Therefore, the new standard deviation is same as the old one.

To know more about standard deviation, here

brainly.com/question/26941429

#SPJ4

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8 out of 10 of the people at the circus are kids. if 575 tickets were sold,how many are expected to be kids?
sesenic [268]
8/10 x 575 = 460
multiply the number of tickets by the fraction of the number of kids at the circus.
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3 years ago
Given: Quadrilateral ABCD is a parallelogram with diagonals AC and BD intersecting at E. Prove: Triangle AED is congruent to Tri
daser333 [38]

Answer:

Step-by-step explanation:

In ΔAED , ΔCEB

AD = BC    { opposite sides of parallelogram are equal}

AE = CE    { diagonals of parallelogram bisects each other}

BE = DE    { diagonals of parallelogram bisects each other}

ΔAED ≅ ΔCEB   (SSS congruence)

5 0
3 years ago
Please help and show work if possible. thank you!!
Elena-2011 [213]
10. Horizontal shift of 50, vertical shift of -20, horizontal shift of -50. Think of it on a plane, with right in the positive x-axis and up in the positive y-axis. The cans go right 50ft, then down 20ft, then left 50ft. In terms of the horizontal and vertical, they go 50ft in the positive horizontal axis, then 20ft in the negative vertical axis, then 50ft in the negative horizontal axis. Therefore, the cans have a horizontal shift of 50, then a vertical shift of -20, then a horizontal shift of -50.

11. Since the partition and the wall are parallel, the triangles are similar. This means that the ratio between the sides are the same for the small triangle and the big triangle. The small triangle (made by the partition) is 3m wide and 2m tall. Since the big triangle (made by the wall) is 4m tall, the sides of the big triangle are twice the size of the small triangle. Therefore, the big triangle is 6m wide. We cannot forget to subtract the 3m from the small triangle, since we only want to know how far the partition is from the wall, not how far the point is from the wall.
The wall is 3m away from the partition.
3 0
3 years ago
beau has 15 cans of beetlebots legs there are 8 legs in each can i found 7 more beetle bot legs how can we find the number of le
Natali5045456 [20]

Answer:

  multiply the number in each can by the number of cans and add the extras

Step-by-step explanation:

You can add them all up. This is the total of the number in each can and the extras:

  8 +8 +8 +8 +8 +8 +8 +8 +8 +8 +8 +8 +8 +8 +8 +7

Or you can take advantage of the invention of multiplication to simplify repeated addition. Multiply the number in each can by the number of cans, then add the extras.

  15×8 +7 = 127

3 0
3 years ago
A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying horizontally on its side. (In other w
hoa [83]

Answer:

64,717.36 Joule is the total amount of work needed to pump the gasoline out of the tank.

Step-by-step explanation:

Volume of cylinder = V

Radius of cylinder = r = 0.5 m

Height of the cylinder = 5 m

Volume of cylinder = \pi r^2h

V=3.14\times (0.5 m)^2\times 5 =3.925 m^3

Mass of gasoline = m

Density of gasoline = d = 673 kg/m^3

m=d\times V=673 kg/m^3\times 3.925 m^3=2,641.525 kg

Work done to pump the gasoline out of the tank W

Acceleration due to gravity = g .8 m/s^2

The center of gravity of fuel in fully filled tank will be centre so, the value of h = 2 m + 0.5 m = 2.5 m

W =m\times g\times h

W=2,641.525 kg\times 9.8 m/s^2\times 2.5 m=64,717.36 J

64,717.36 Joule is the total amount of work needed to pump the gasoline out of the tank.

6 0
3 years ago
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