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Sladkaya [172]
3 years ago
12

Evaluate the function. y = 2x - 2; x = 18

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
3 0
Y=34 if 18 times 2 is 36 minus 2
lubasha [3.4K]3 years ago
3 0

Answer:

x=18 and y=34

Step-by-step explanation:

y = 2x - 2; x = 18 (rewrite this)

x=18;y=2x−2

solve for x( x=18)

substitute 18 for any x in y=2x-2

y=2x-2

y=(2)(18)-2

y=34(simplify both sides of the equation)

sorry for the lengthy explanation i hope this helps,  i hope you have a great day :) !!

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Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation o
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Answer:

(a) The percent of her laps that are completed in less than 130 seconds is 55%.

(b) The fastest 3% of her laps are under 125.42 seconds.

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Step-by-step explanation:

The random variable <em>X</em> is defined as the number of seconds for a randomly selected lap.

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(a)

Compute the probability that a lap is completes in less than 130 seconds as follows:

P(X

                   =P(Z

The percentage is, 0.55 × 100 = 55%.

Thus, the percent of her laps that are completed in less than 130 seconds is 55%.

(b)

Let <em>x</em> represents the 3rd percentile.

That is, P (X < x) = 0.03.

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The value of <em>z</em> for the above probability is:

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Compute the value of <em>x</em> as follows:

z=\frac{x-\mu}{\sigma}\\-1.88=\frac{x-129.71}{2.28}\\x=129.71-(1.88\times 2.28)\\x=125.4236\\x\approx 125.42

Thus, the fastest 3% of her laps are under 125.42 seconds.

(c)

Let <em>x</em>₁ and <em>x</em>₂ be the values between which the middle 80% of the distribution lie.

That is,

P(x_{1}

The value of <em>z</em> for the above probability is:

<em>z</em> = 1.28

Compute the values of <em>x</em>₁ and <em>x</em>₂ as follows:

-z=\frac{x_{1}-\mu}{\sigma}\\-1.28=\frac{x_{1}-129.71}{2.28}\\x_{1}=129.71-(1.28\times 2.28)\\x=126.7916\\x\approx 126.80               z=\frac{x_{2}-\mu}{\sigma}\\1.28=\frac{x_{2}-129.71}{2.28}\\x_{2}=129.71+(1.28\times 2.28)\\x=132.6284\\x\approx 132.63

Thus, the middle 80% of her laps are from <u>126.80</u> seconds to <u>132.63</u> seconds.

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