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galben [10]
3 years ago
13

an underground mine elevator reaches a total depth of 99 meters. it descends 17% of the total distance every minute. how many me

ters below the ground is the elevator after 3 minutes. −67.32 meters −33.66 meters −16.83 meters −50.49 meters
Mathematics
2 answers:
Dmitriy789 [7]3 years ago
6 0

Hello,

The correct answer is D) -50.49 meters

STEPS:

17% of total distance

it has a total distance of 99 ft

so it descends 17% of 99

17% of 99=0.17 times 99=16.83 feet per minute

3 minutes is  3 times 16.83 feet down or 50.49 down

Hope this helps!!!! :)

**(Vanessa)**

malfutka [58]3 years ago
4 0
17% of 99 is 16.83. Since that's only the distance it goes in one minute we have to multiply that by 3. 16.83 × 3 = 50.49. Since the elevator is moving down then it will be negative. The answer will be -50.49 meters.
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Answer:

  • <em>m</em> = \frac{1}{20}
  • <em>μ</em> = 20
  • <em>σ </em>= 20

The probability that a person is willing to commute more than 25 miles is 0.2865.

Step-by-step explanation:

Exponential probability distribution is used to define the probability distribution of the amount of time until some specific event takes place.

A random variable <em>X</em> follows an exponential distribution with parameter <em>m</em>.

The decay parameter is, <em>m</em>.

The probability distribution function of an Exponential distribution is:

f(x)=me^{-mx}\ ;\ m>0, x>0

<u>Given</u>: The decay parameter is, \frac{1}{20}

<em>X</em> is defined as the distance people are willing to commute in miles.

  • The decay parameter is <em>m</em> = \frac{1}{20}.
  • The mean of the distribution is: \mu=\frac{1}{m}=\frac{1}{\frac{1}{20}}=20.
  • The standard deviation is: \sigma=\sqrt{variance}= \sqrt{\frac{1}{(m)^{2}} } =\frac{1}{m} =\frac{1}{\frac{1}{20}} =20

Compute the probability that a person is willing to commute more than 25 miles as follows:

P(X>25)=\int\limits^{\infty}_{25} {\frac{1}{20} e^{-\frac{1}{20}x}} \, dx \\=\frac{1}{20}|20e^{-\frac{1}{20}x}|^{\infty}_{25}\\=|e^{-\frac{1}{20}x}|^{\infty}_{25}\\=e^{-\frac{1}{20}\times25}\\=0.2865

Thus, the probability that a person is willing to commute more than 25 miles is 0.2865.

7 0
3 years ago
I need help answering this question
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6x + 5 + 5x - 12 = 180

Add like terms

11x - 7 = 180

Add 7 to both sides

11x - 7 + 7 = 180 + 7

11x = 187

Divide both sides by 11

\frac{11x}{11} = \frac{187}{11}

x = 17

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