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ser-zykov [4K]
3 years ago
13

What is the answer to 76?

Mathematics
1 answer:
vovangra [49]3 years ago
7 0

Answer:

13.2 minutes or 13 minutes 12 seconds.

Step-by-step explanation:

1. Count how much water drains the first pump every minute. Let the volume of pool be D. Every minute first pump drains D/11 water.

2. Working together(6 minutes) First pump drains 6D/11 water, hence the second pump drains 5D/11 water.

3.Count how much water drains second pump per minute -> (5D/11)/6= 5D/66

4. It takes the second pump 66 minutes to drain pool 5 times, thus it takes 13.2(66/5) minutes to drain the pool, which is 13 minutes 12 seconds.

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The random variable X is exponentially distributed, where X represents the waiting time to be seated at a restaurant during the
erastova [34]

Answer:

The probability that the wait time is greater than 14 minutes  is 0.4786.

Step-by-step explanation:

The random variable <em>X</em> is defined as the waiting time to be seated at a restaurant during the evening.

The average waiting time is, <em>β</em> = 19 minutes.

The random variable <em>X</em> follows an Exponential distribution with parameter \lambda=\frac{1}{\beta}=\frac{1}{19}.

The probability distribution function of <em>X</em> is:

f(x)=\lambda e^{-\lambda x};\ x=0,1,2,3...

Compute the value of the event (<em>X</em> > 14) as follows:

P(X>14)=\int\limits^{\infty}_{14} {\lambda e^{-\lambda x}} \, dx=\lambda \int\limits^{\infty}_{14} {e^{-\lambda x}} \, dx\\=\lambda |\frac{e^{-\lambda x}}{-\lambda}|^{\infty}_{14}=e^{-\frac{1}{19} \times14}-0\\=0.4786

Thus, the probability that the wait time is greater than 14 minutes  is 0.4786.

7 0
3 years ago
Find the value of x
Tamiku [17]
<BAC = 180 - 98 = 82
x = 180 - (82+32)
x = 180 - 114
x = 66

answer
C, 66
5 0
3 years ago
Read 2 more answers
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adelina 88 [10]
A. I think the sum she wrote was 5 163/200 + 6 21/1000.
B. I think the comparison of the sum of the two numbers in decimal form is 11.836, or 11 209/250 in mixed number form.
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Anna71 [15]

Answer:

Step-by-step explanation:

8 0
2 years ago
X to the power of 2=100
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Answer:

Step-by-step explanation:

2 to the 100 power = 1.2676506002 × 10 to the 30 power.

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