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Gennadij [26K]
2 years ago
10

Mr. Moore's physics class built different-shaped parachutes to see which shapes were more effective. The students tested the par

achutes by dropping them
from a height of 30 feet and timing the fall. They calculated the summary below:
The students wanted to see what happens to their times when they drop the parachutes from 45 feet. They find that every drop is increased by 2.5 seconds.
Find the new mean and standard deviation.
O Mean, 3.1 seconds; standard deviation, 0.6 second
O Mean, 5.6 seconds; standard deviation, 3.1 seconds
O Mean, 5.6 seconds; standard deviation, -1.9 seconds
O Mean, 8.1 seconds, standard deviation, 0.6 second

Mathematics
1 answer:
antoniya [11.8K]2 years ago
7 0
Your answer is the 5.6 seconds
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The square shown has a perimeter of 32 units. The square is rotated about line k.
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A cylinder with a circumference of about 50 units is formed.

Step-by-step explanation:

Step 1:

The perimeter of the square is 32 units. The perimeter of a square is given by 4 times its side length.

(4) sidelength = 32, sidelength = \frac{32}{4} = 8.

So the side length of the square is 8 units.

If a square is rotated a cylinder will be formed. So the options with a cone are wrong as a cone is formed when a triangle is rotated.

Step 2:

To calculate the circumference of the cylinder, we multiply 2π with the radius. The radius is the same as the side length of the square. So r is 8 units.

The circumference of the cylinder = 2\pi r = (2) (3.1415)(8) = 50.264.

So the circumference of the cylinder is approximately equal to 50 units so the answer is the fourth option, a cylinder with a circumference of about 50 units.

4 0
2 years ago
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Eric has two dogs. He feeds each dog 250 grams of dry food each, twice a day. If he buys a 10-kilogram bag of dry food, how many
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It will last around 10 days
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2 years ago
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A fox sees a rabbit 35 feet away and starts chasing it. As soon as the fox starts moving the rabbit sees it and starts running a
Artemon [7]

The speed of the fox should be greater than the rabbit's speed in other to catch up, Hence, the speed of the fox must be 35/t + 40

The distance between the rabbit and fox, d = 35 feets

The rabbit's speed = 40 feets per second

Fox's speed = F

In other to obtain a specific speed for the fox, the time at which the fox is required to catch up with the rabbit should be given.

Let the time = t

Recall :

Speed = distance / time

Distance = speed × time

Rabbit's distance from fox after time t will be :

35 + (40 × t) = 35+40t

Fox's distance after time, t = fox speed × t = F × t

In other to catch up ; both fox and rabbit must be at the same distance ;

Rabbit's distance at time t = Fox's distance at time t

35+40t = Ft

To solve for F which is the fox's speed:

Divide both sides by t

(35+40t) / t = Ft/t

35/t + 40 = F

Hence, the fox' s speed must be : 35/t + 40

To obtain the exact speed of the fox, we must be given a specific time value.

Learn more : brainly.com/question/18112348

4 0
2 years ago
The LaSalle High School senior class raised funds for an end of the year cruise getaway. The city gave them a special package fo
Brilliant_brown [7]
Knowns:
C = mx + b
m = 367
b = 1500

C = 367x + 1500

Cost (c) = 16,600

16600 = 367x + 1500
subtract 1500 from both sides

15,100 = 367x
Divide both sides by 367

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3 0
2 years ago
A furniture company is introducing a new line of lounge chairs next quarter. These are the cost and revenue functions, where x r
QveST [7]

Answer:

No lower than $208, and no higher than $956.8

Step-by-step explanation:

Notice that the revenue (income) function is represented by a quadratic expression (a parabola with branches pointing down), and the cost function is linear with negative slope.

When we plot them, we obtain the graphs shown in the attached image. Notice as well that there are two points of intersection for these two functions. The revenue exceeds (lays above) the cost in between the two points of intersection (marked in red and green).

For the company to make a profit, the revenue has to be larger than the cost, so we study the limiting values for that to happen, which is the points of intersection of these two curves.

The first one (pictured in red) is associated with coordinates (35, 33488) which tells us that is the production of 35 chairs with a revenue of $33,488. That is a cost per chair of $33,488 / 35 = $956.8

The second intersection (pictured in green) is associated with coordinates (125, 26000), which tells us that is the production of 125 chairs with a revenue of $26,000. That is a cost per chair of $26000 / 125 = $ 208

So these values give us the minimum and maximum that the company can charge to make a profit.

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2 years ago
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