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zimovet [89]
3 years ago
10

Find the value of x. A. 18 B. 22 C. 24 D. 28

Mathematics
2 answers:
spayn [35]3 years ago
5 0
A. 18 is correct it smaller
nikitadnepr [17]3 years ago
4 0

<u>Answer:</u>

The correct answer option is A. 18.

<u>Step-by-step explanation:</u>

We have a right angled triangle with the complete values of two sides: the perpendicular and the base with side lengths 40 and 30 respectively.

We can use the Pythagoras Theorem to find the hypotenuse.

Assuming the hypotenuse to be A:

A^2 = 30^2+40^2

A^2= 900+1600

A^2=2500

\sqrt{A^2} = \sqrt{2500}

A=50

To find x, we will subtract 32 from the length of hypotenuse:

x = 50-32=18

Therefore, the value of x = 18.


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The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is th
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Answer:

a) 0.0025

b) 0.9975

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d) 23.03 minutes

Step-by-step explanation:

Let X be the random variable that measures the time waited for a taxi.  

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We want x so that

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d)

We want P(X<x)=0.9

\large 1-e^{-x/10}=0.9\rightarrow e^{-x/10}=0.1\rightarrow x=-10ln(0.1)=23.03\;minutes

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