As a promotion a clothing company sent out an email with a link where recipients have a 1/20 probability of receiving a 40% off coupon. Otherwise, they receive a 5% off coupon. If 340 of the recipients click the link, what is the best prediction for the number of recipients that received a 40% off coupon.

17

Step-by-step explanation:

In this case we know that there are a total of 340 recipients and they tell us that of 20 recipients only 1 receipt of the 40% discount.

So what you need to do is apply the probability to the total recipients, like so:

Number of recipients with 40% = Total recipient * probability of 40%

N = 340 * (1/20)

N = 17

Which means that the best projection is that only 17 people out of those 340 will benefit from the 40% discount.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3