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Anon25 [30]
3 years ago
15

An individual has 3 different email accounts. Most of her messages, in fact 60% come into account #1, whereas 30%come into accou

nt #2, and the remaining 10% into account #3. Of the messages into account #1, only 1% are spam, whereas the corresponding percentages for account #2 and #3 are 3% and 5%, respectively. What is the probability that a randomly selected message is spam?
Mathematics
1 answer:
laila [671]3 years ago
7 0

Answer:

the probability is 0.02 (2%)

Step-by-step explanation:

defining the event S= the message is spam , then the probability is

P(S) = probability that a randomly selected message comes from account #1 * probability that the message is spam given that the message is from account #1 + probability that a randomly selected message comes from account #2 * probability that the message is spam given that the message is from account #2 + probability that a randomly selected message comes from account #3 * probability that the message is spam given that the message is from account #3 = 0.6 * 0.01 + 0.3 * 0.03 + 0.1 * 0.05 = 0.02 (2%)

thus the probability is 0.02 (2%)

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Mrs. Balcon owes the dentist $342. She wants to have her payments taken from her checking account over the next 7 1/2 months. By
kiruha [24]

Answer:

$45.60 per month

Step-by-step explanation:

She owes the dentist $342.00

you take $342.00 divided by 7.5(the amount of months)

and get $45.60 per month

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3 years ago
I need help.. A diameter of a circle has endpoints p(-10, -2) and q(4, 6)
Phoenix [80]

A: The center is the mid point of the diameter. So, the center of the circle will be the midpoint of points P and Q. The coordinates of the midpoint are the averaged coordinates of the endpoints.

So, the x-cooardinate of the center is the average of the x-coordinates of P and Q:

C_x = \dfrac{P_x+Q_x}{2}=\dfrac{-10+4}{2}=\dfrac{-6}{2}=-3

Try to do the same thing with the y coordinates, and you'll get the y-coordinate C_y. This first part will be over, because the circle will be point

C=(C_x,C_y)

B: The radius is exactly half the diameter. So, we find the length of the diameter, and we divide it by 2. To find the length of the diameter, we use the standard formula for the distance between two points:

d=\sqrt{(P_x-Q_x)^2+(P_y-Q_y)^2}=\sqrt{(-10-4)^2+(-2-6)^2}=\sqrt{260}=2\sqrt{65}

Divide this length by 2 and you'll get the radius.

C: At this point, we have both the radius and the coordinates of the center. The equation of the circle depends on these two parameters, and it is

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Substitute C_x and C_y with the coordinates of the center (found in point A.) and r with the radius (found in point B.) and you'll have the equation of the circle.

6 0
3 years ago
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barxatty [35]

Answer:

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Answer:

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Step-by-step explanation:

First you have to know that the volume of a cube is found by A^3

A is 1 side of the cube.

Now plug in the number 1000.

1000^3=1000000000 ml^3

To simplify you could turn it into liters. To do this divide by 1000.

This would result in 1000000L^3

3 0
3 years ago
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