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Fittoniya [83]
3 years ago
5

Suppose that you want to model the height of a rider on a Ferris wheel as a function of time. The amplitude of the function you

use as a model should be equal to which of the following?
a. the area of the Ferris wheel
b. the circumference of the Ferris wheel
c. the diameter of the Ferris wheel
d. the radius of the Ferris wheel
Mathematics
2 answers:
Nezavi [6.7K]3 years ago
5 0

Answer: d. the radius of the Ferris wheel

Step-by-step explanation:

We now that the amplitude is the vertical distance between a peak or a valley and the equilibrium point.

Thus in the case of Ferris wheel the amplitude should be the difference between the peak(highest) and equilibrium point or equillibrium point and valley(lowest) points .

i.e. it should be half of the diameter of the circle. Since half of diameter of a circle is equals to radius.

Therefore, the amplitude of the function you use as a model should be equal to the radius of the Ferris wheel.  


elena-14-01-66 [18.8K]3 years ago
4 0
The amplitude of the function you use as a model should be equal to <span>d. the radius of the Ferris wheel. The amplitude should be half the difference between the highest (maximum) and lowest (minimum) points which is half of the diameter of the circle. It is known that half of the diameter is the radius of a circle.</span>
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Mara simplifies the expression: -(7x - 3y) + 2(x + 4). Her work is shown. In what step does she make a mistake?
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<em><u>Correct steps are shown</u></em>

<em><u>Correct simplified expression is:</u></em>

-(7x - 3y) + 2(x+4) = -5x + 3y+8

<em><u>Solution:</u></em>

<em><u>Given that: Mara simplifies the expression</u></em>

-(7x - 3y) + 2(x+4)

<em><u>Correct steps are:</u></em>

From given,

-(7x - 3y) + 2(x+4)

<em><u>Use the distributive property,</u></em>

a(b + c) = ab + bc

Therefore,

-(7x - 3y) + 2(x+4) = -7x +3y + 2x + 8

Group the like terms

-(7x - 3y) + 2(x+4) = -7x + 2x + 3y + 8\\\\Combine\ the\ like\ terms\\\\-(7x - 3y) + 2(x+4) = -5x + 3y+8

Thus the expression is simplified

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guajiro [1.7K]

Answer:

a.) Average life of a refrigerator

b.) 0.1151

c.) 0.0548

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Step-by-step explanation:

Given that :

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Standard deviation, σ = 2 years

A.)

The random variable is the variable which is being measured.

B.) What is the probability that someone will keep a refrigerator fewer than 11 years before replacement?

Fewer than 11 years, P(x < 11)

We need to obtain the Z probability, at P(Z < 11)

The Zscore = (x - mean) / standard deviation

Zscore = (11 - 14) / 2.5 = - 1.2

P(Z < - 1.2) = 0.1151

C.) What is the probability that someone will keep a refrigerator more than 18 years before replacement?

More than 18 years, P(x > 18)

We need to obtain the Z probability, at P(Z > 18)

The Zscore = (x - mean) / standard deviation

Zscore = (18 - 14) / 2.5 = 1.6

P(Z > 1.6) = 0.0548

D.) What is the probability that someone will replace a refrigerator between 8 and 15 years?

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The Zscore = (x - mean) / standard deviation

Zscore = (8 - 14) / 2.5 = - 2.4

P(Z < - 2.4) = 0.0081975

P(x < 15)

The Zscore = (x - mean) / standard deviation

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P(Z < 0.4) - P(Z < - 2.4)

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33 + 64 would be 97.
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