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Natalka [10]
2 years ago
7

Because of the increasing nuisance of spam e-mail messages, many start-up companies have emerged to develop e-mail filters. One

such filter was recently advertised as being 95% accurate. This could mean one of four things.
(a)95% of the email allowed through is valid,
(b)95% of spam is blocked,
(c) of the blocked e-mail is spam, or
(d) 95% of valid e-mail is allowed through
Mathematics
1 answer:
BaLLatris [955]2 years ago
4 0

Answer:

B. 95% of spam is blocked.

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andrew-mc [135]
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5 0
3 years ago
Read 2 more answers
Janet worked 3 hours more than David and 7 hours less than Kate. David earned $7.50 per hour, Janet earned $6 per hour, and Kate
grandymaker [24]

We want to write and solve a system of equations to see how much each person earns.

What each one earned is:

  • Janet = $78
  • Kate =  $180
  • David = $75

Let's define:

  • J = number of hours that Janet worked.
  • D = number of hours that David worked.
  • K = number of hours that Kate worked.

The information is:

<em>"Janet worked 3 hours more than David and 7 hours less than Kate"</em>

From this we can write:

J = D + 3

J = K - 7

We know that:

  • David earned $7.50 per hour.
  • Janet earned $6 per hour.
  • Kate earned $9 per hour.

Finally, we know that Kate earned $27 more than David an Janet combined, then we can write:

$9*K = $27 + ($7.50)*D + $6*J

Then we have a system of equations:

J = D + 3

J = K - 7

$9*K = $27 + ($7.50)*D + $6*J

We can rewrite the first and second equations to get:

D = J - 3

K = J + 7

Now we can replace these two in the other equation to get:

$9*(J + 7) = $27 + ($7.50)*(J - 3)+ $6*J

Now we can solve this for J:

$9*J + $63 = $27 + $7.50*J - $22.50 + $6*J

$9*J - $7.50*J - $6*J = $27 - $63 - $22.50

-$4.50*J = -$58.60

J = (-$58.60)/(-$4.50) = 13

This means that Janet worked for 13 hours.

And with:

K = J + 7 = 13 + 7 = 20

D = J - 3 = 13 - 3 = 10

We can see that Kate worked for 20 hours and David for 10 hours.

Then each one of them earned:

Janet = 13*$6 = $78

Kate = 20*$9 = $180

David = 10*$7.50 = $75

If you want to learn more, you can read:

brainly.com/question/9351049

5 0
2 years ago
Which divisor of -2x^3 - 5x^2 + 4x - 2 results in a remainder of -14
Vsevolod [243]

Answer:

f(x) = -2x^3 -5x^2 +4x -2\\option 1 : x+2 \\f(-2) = -2(-2)^3 -5(-2)^2 +4(-2)-2 = 16 -20-8-2= -14\\\\\\option 2: x+3\\f(-3) = -2(-3)^3 -5(-3)^2 +4(-3) - 2 = 54 -45 -12-2 = -5\\\\option 3: x-2\\f(2) = -2(2)^3-5(2)^2-4(2)-2=-16 -20-8-2=-46\\\\option4 :x-3\\f(3) = -2(3)^3 - 5(3)^2-4(3)-2 = -54-45-12-2=-113\\

option 1: x + 2

3 0
3 years ago
The sum of 5.9 and -7.2 is <br>positive <br>zero <br>negative​
Thepotemich [5.8K]

Answer:

Negative

Step-by-step explanation:

It would be -1.3. Because you know? You add?

4 0
2 years ago
Read 2 more answers
Which statements are true? Check all that apply. TIMED! WILL GIVE BRAINLIEST!
gladu [14]

Answer:

The 1st, 3rd, 4th, 5th are correct

7 0
3 years ago
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