Answer:
x > -22/7
Step-by-step explanation:
Given inequality:
- 7x - 15 < 6
<em>adding 15 to both sides:</em>
==> -7x - 15 + 15 < 6 + 16
==> -7x < 22
<em>dividing</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>7</em><em>:</em>
==> -x < 22/ 7
<em>multiplying</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>-</em><em>1</em>
<em>(</em><em>anytime</em><em> </em><em>you</em><em> </em><em>multiply</em><em> </em><em>the</em><em> </em><em>inequality</em><em> </em><em>by</em><em> </em><em>-</em><em>1</em><em> </em><em>you</em><em> </em><em>must</em><em> </em><em>flip</em><em> </em><em>th</em><em>e inequality sign–</em><em> </em><em>r</em><em>e</em><em>p</em><em>l</em><em>a</em><em>c</em><em>e</em><em> </em><em>the</em><em> </em><em>"</em><em><</em><em>"</em><em> </em><em>with</em><em> </em><em>"</em><em>></em><em>"</em><em>)</em>
==> <u>x > -22/7</u>
3*4*4=48
she can make 48 different sandwiches
We have to find the expected value for the PlayBall lottery.
The price of the ticket = $1
Prize amount = $250
If a player wins, he will be winning $249 as the price is not paid back along with the prize amount. He is spending $1, getting back $250, so the net amount he is getting back is $249.
Now we have to find the probability of winning and losing.
Number of letters from A to T = 20
Number of digits from 0 to 9 = 10
Probability of picking up the same letter that was picked on that day = 1/20
Probability of picking up the same number that was picked on that day = 1/10
Thus, the Probability of picking up the same letter and same number that was picked on that day =

Thus, the probability of winning = 1/200
The probability of losing =

The expected value E for the PlayBall lottery will be:
Thus, the option C gives the correct answer