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ira [324]
3 years ago
15

Write the equation of a line that is perpendicular to the line y= (-1/5)x + 2 and has a y-intercept that is 5 units larger that

the y-intercept of y= (-1/5)x + 2.
a. y= -5x + 7
b. y= 5x + 7
c. y= (-1/5)x + 7
d. y= (1/5)x + 7
Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0
To find the perpendicular line slope , you multiply the current slope by -1 and then find the reciprocal of that. That means that you multiply -1/5 by -1 which is 1/5, and the reciprocal  of that is 5, so the slope is 5 and the answer is B
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Answer:

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

The problem states that:

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.

To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.

There are 5 weekdays, with a mean of 0.1 calls per day.

The weekend is 2 days long, with a mean of 0.2 calls per day.

So:

\mu = \frac{5(0.1) + 2(0.2)}{7} = 0.1286

If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?

This is P(X = 2). So:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 2) = \frac{e^{-0.1286}*0.1286^{2}}{(2)!} = 0.0073

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

3 0
2 years ago
How much is $1250 worth at the end of 3 year, if the interest rate of 6.5% is compounded weekly?
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Answer:

3 X 52 =156

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$23091323.50

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Answer:

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Step-by-step explanation:

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