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Step2247 [10]
2 years ago
12

A little boy stands on a carousel and rotates AROUND 4 times. If the distance between the little boy and the center of the carou

sel is 6 feet, then how many feet did the little boy travel? (C = 2πr). Use 3.14 for pi. (Hint: he is going AROUND 4 times not just once). Only put in the number do not put in the unit of measure (ft). *
Mathematics
1 answer:
maksim [4K]2 years ago
4 0

Answer:

150.72

Step-by-step explanation:

C = 2*pi * r

C = 2* 3.14 * 6

C = 37.68

1 revolution = 37.68

4 revolutions = 4 * 37.68

4 revolutions = 150.72

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Suppose a normal distribution has a mean of 38 and a standard deviation of 2. What is the probability that a data value is betwe
Dimas [21]

Answer:

P ( 37 < x < 41) = P(-0.5 < Z < 1.5) =  0.6247

Step-by-step explanation:

We know mean u = 38  standard dev. s = 2

We want  P ( 37 < x < 41)

so

P( (37 - 38) / 2 <  Z) =  P(-0.5 < Z)  

P( Z <  (41 - 38)/2 ) =  P( Z < 1.5)

Find  P(Z < -0.5) = 0.3085

Find P(Z > 1.5) = 0.0668

so  P(-0.5 < Z < 1.5) =  1  - P(Z < -0.5) - P(Z > 1.5)

P(-0.5 < Z < 1.5) =  1  - 0.3085 -  0.0668

P(-0.5 < Z < 1.5) =  0.6247

P ( 37 < x < 41) = P(-0.5 < Z < 1.5) =  0.6247

3 0
3 years ago
Given k // l, what can you conclude about these triangles? Check all that apply.
olasank [31]

Answer:

A C E

Step-by-step explanation:

it would be A C E because the corresponding angles are similar, angles 5 and 3 are both alternate exterior angles, the following verticals angles(1 and 4) are equivalent to each other. so yeah, its NOT ABC.

8 0
3 years ago
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Can someone please help me!!
Elan Coil [88]

Answer:

13

Step-by-step explanation:

Firstly we would start off by simplifying the equation by doing the order of operations backward (PEMDAS -> SADMEP) and multiply -4 and -3 which would equal a positive 12

Next, we would divide 12 and -6 and get a negative 2

Finally, we would have the equation 1 - 12 + (-2)

We would solve the equation to get -13/(-1)³

This would make the -13 into a positive since any number over one is a whole number. -13 is getting divided by (-1) 3 times so it converts to a positive, then a negative, then back to a positive.

I hope this helped :3

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3 years ago
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Varvara68 [4.7K]

Answer:

(x, y) --> (x + 4, y - 3)

Step-by-step explanation:

The x value concerns left and right, while the y value concerns up and down. Adding to x makes it move right, and adding to y makes it move up.

3 0
3 years ago
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Factorise n² - 11n+ 18
11111nata11111 [884]

Step-by-step explanation:

=n2-11n+18

=n2-(9+2)n+18

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