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3 years ago

Which of the following is an example of an improper fraction?

1 answer:

6 0

Improper fractions are called such because the numerator is greater than the denominator. The only way it can be simplified is through a mixed fraction.

c) 10/3 is the improper fraction.

10/3 is simplified into 3 1/3.

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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

2 years ago

Gabrielle paints flower pots to sell at the craft fair. She paints 2/5 of a flower pot teal, 1/4 of it yellow, and the rest of i

Stolb23 [73]

13/20
make the common denominator 20
2/5 = 8/20
1/4 = 5/20
8/20 + 5/20 = 13/20

8 0

3 years ago

If y varies directly as x, and x= 8 when y= 24, what is the value of x when y= 48

saveliy_v [14]

8/24 = x / 48
cross multiply
(24)(x) = (8)(48)
24x = 384
x = 384/24
x = 16 <===

4 0

2 years ago

Read 2 more answers

Simplify the expression below, I really just need the steps I have the answer (also can someone tell me how to edit points on th

Sloan [31]

Answer: $3x^2y\sqrt[3]{y}\\\\$

Work Shown:

$\sqrt[3]{27x^{6}y^{4}}\\\\\sqrt[3]{3^3x^{3+3}y^{3+1}}\\\\\sqrt[3]{3^3x^{3}*x^{3}*y^{3}*y^{1}}\\\\\sqrt[3]{3^3x^{2*3}*y^{3}*y}\\\\\sqrt[3]{\left(3x^2y\right)^3*y}\\\\\sqrt[3]{\left(3x^2y\right)^3}*\sqrt[3]{y}\\\\3x^2y\sqrt[3]{y}\\\\$

Explanation:

As the steps above show, the goal is to factor the expression under the root in terms of pulling out cubed terms. That way when we apply the cube root to them, the exponents cancel. We cannot factor the y term completely, so we have a bit of leftovers.

4 0

2 years ago

Solve the equation for x: 3(m+7)=6(m+2)

Morgarella [4.7K]

Answer:

Step-by-step explanation:

There is no x in the equation, so I will assume solving for m

Distribute:

3m + 21 = 6m + 12

Subtract 3m and 12

3m = 9

Divide by 3

m = 3

8 0

2 years ago

Read 2 more answers