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2 years ago

choose the equation below that represents the line passing through the point (1,-4) with a slope of 1/2

1 answer:

6 0

Well, we can use the form y = mx + b, where m equals the slope and x and y are the coordinate values:
-4 = 1/2(1) + b
b = 9/2
Therefore, the equation of the line is:
y = 1/2x + 9/2

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

Dovator [93]

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

3 years ago

Sam invest $8333 into a savings account with a compound interest of 2.7% for 10 years what is Sams balance after 10 years

devlian [24]

Answer: 10,582.91

Step-by-step explanation: 2.7%*10=27% 8,333*127%= $10,582.91

6 0

2 years ago

Read 2 more answers

Analyze the diagram below and complete the instructions that follow. / Describe the translation that maps the preimage to the im

Flura [38]

Where is the image?????

8 0

3 years ago

Solve x^2 - 13x + 40 = 0

hodyreva [135]

Answer:

(x-8)(x-5)

Step-by-step explanation:

The only way to solve this equation is to factor it. You would have to use the sum and product rule.

4 0

3 years ago

Shop Rite has jeans on sale for 3/10 off. Save More has jeans on sale for 33% off. Which store has a better deal? Explain.

umka21 [38]

save more has a better deal because when you convert 33% into a fraction out of ten it becomes 3.3/10 and shop right is 3/10 so 3.3 is greater than 3.

5 0

3 years ago