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3 years ago

Question 1(Multiple Choice Worth 5 points)

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

4 0

Answer: $arc\ length =13.19cm$

Step-by-step explanation:

You need to use the following formula:

$arc\ length=r\theta$

Where "r" is the radius and $\theta$ is is the central angle of the arc in radians.

Assuming that that the angle $\frac{3\pi }{5}$ is the central angle of the arc, and knowing that the radius is 7 centimeters, you can substitute values into the formula.

Therefore, you get:

$arc\ length=r\theta\\\\arc\ length= (7cm)(\frac{3\pi}{5})}\\\\arc\ length =13.19cm$

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Wittaler [7]

Answer:

14 minutes

Step-by-step explanation:

10 times 14 = 140

15 times 14 = 210

200+210 = 410

550-140 = 410

7 0

3 years ago

The life, in years, of a certain type of electrical switch has an exponential distribution with an average life β=44. If 100 o

Bond [772]

Answer:

0.9999

Step-by-step explanation:

Let X be the random variable that measures the time that a switch will survive.

If X has an exponential distribution with an average life β=44, then the probability that a switch will survive less than n years is given by

$\bf P(X$

So, the probability that a switch fails in the first year is

$\bf P(X$

Now we have 100 of these switches installed in different systems, and let Y be the random variable that measures the the probability that exactly k switches will fail in the first year.

Y can be modeled with a binomial distribution where the probability of “success” (failure of a switch) equals 0.0225 and

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where

$\bf \binom{100}{k}$ equals combinations of 100 taken k at a time.

The probability that at most 15 fail during the first year is

$\bf \sum_{k=0}^{15}\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}=0.9999$

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3 years ago

This is number the 2

Andru [333]

Answer:

Step-by-step explanation:

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3 years ago

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kiruha [24]

B I G B R A I N :-))

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3 years ago

olga nikolaevna [1]

Answer:

do you have a.picture.of the graph?

Step-by-step explanation:

it should.look something like this tho for x>-2

7 0

3 years ago