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AnnZ [28]
3 years ago
13

Estimates show that there are 9.42 x 10? pet cats and 8.97 x 10' pet dogs in

Mathematics
1 answer:
daser333 [38]3 years ago
7 0

Answer:

there are 184 cats and dogs in the world.

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Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25
aliina [53]

Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

The mean time for the component failure is 2500 hours.

This means that m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

P(X > x) = e^{-0.0004*5000} = 0.1353

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

4 0
2 years ago
It's due in 20 minutes!!
slega [8]

Answer:

A. 18 sit-ups in one minute

B. 30 doors per hour

D. 18 words per minute

F. $30 per night

C. 3.5 miles per hour

E. $10.50 per pair of pants

Step-by-step explanation:

A. 36/2 = 18

B. 15 * 2 = 30

D. 72/4 = 18

F. 150/5 = 30

C. 10.5/3 = 3.5

E. 31.50/3 = 10.50

7 0
2 years ago
Read 2 more answers
What is the answer and why is it correct explain
Colt1911 [192]
Top left is you answer
7 0
3 years ago
sally has a part time job mowing lawns so she can save money for a new car. she charges $5 per hour define the independent and d
KengaRu [80]

Answer:

Independent: Amount of hours she works

Dependent: Amount of money she makes

Step-by-step explanation:

The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.

The dependent variable is what you measure in the equation. In this case, the amount of money she makes <em>depends</em><em> </em><em>on</em> the amount of time she works.

8 0
2 years ago
60:92=105:n what is n?
PIT_PIT [208]
Hey! I'll provide you the answers!

First you want to simplify the equation using cross-multiplication.

15n = 2415

Finally, you would want to divide both sides by 15.

n = 161
5 0
3 years ago
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