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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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AleksandrR [38]
We have
\frac{8}{40}
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3 years ago
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Which one is the term that does NOT have a like term<br> Explain<br> 9x + 5y + 8 + 3x + 5
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5y

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because there are no other terms with a y

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3 years ago
Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the
xxTIMURxx [149]

Answer:

Q1) Final cost = y*0.85*1.05  

Q2) Perimeter = 0.1*x - 16

Q3) One over five ( m - 100)

Step-by-step explanation:

We are given three question as follows:

Q1) Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the DVD. Write an expression that can be used to determine the final cost of the DVD.

Solution:

Note: The effect of each percentage on original price is as follows, where y is the original price of the DVD:

                        Discount of 15 % = Price reduced by 0.15*y

                        Sales Tax of 5% = Price increased by 0.05*y

- The resulting prices from each percentage is:

                        Amount left after discount = y - 0.15*y = 0.85*y

                        Amount after tax = y + 0.05*y = 1.05*y

- The factors of each affect are:

                        Factor of discount = 0.85

                        Factor of Tax          = 1.05

Hence, The factors are multiplied by the original cost to get the combined effect as follows:

Answer:            Final cost = y*0.85*1.05                

Q2) Write an expression for the perimeter of the triangle shown below: A triangle is shown with side lengths labeled 0.5*x + 9, 3x, and - 3.4*x - 25.

Solution:

               The perimeter of the triangle is the sum of all 3 sides given:

                        Perimeter = (0.5*x + 9) + (3x) + ( -3.4*x - 25 )

                        Perimeter = (0.5*x + 3x - 3.4x) + ( 9 - 25 )

Answer:           Perimeter = 0.1*x - 16

Q3) Which expression is equivalent to one over five*m − 20?

Solution:

- Re-write expression:

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Take LCM of the denominator:

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Answer:                             One over five ( m - 100)

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inna [77]

Answer:

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Answer:

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