2. I think the answer is 24
subracting the last 2 inequalities we get
6x + 7y <= 42
3x + 2y <= 18 subtract:_-
3x + 5y <= 24
The probability of event A and B to both occur is denoted as P(A ∩ B) = P(A) P(B|A). It is the probability that Event A occurs times the probability that Event B occurs, given that Event A has occurred.
So, to find the probability that you will be assigned a poem by Shakespeare and by Tennyson, let Event A = the event that a Shakespeare poem will be assigned to you; and let Event B = the event that the second poem that will be assigned to you will be by Tennyson.
At first, there are a total of 13 poems that would be randomly assigned in your class. There are 4 poems by Shakespeare, thus P(A) is 4/13.
After the first selection, there would be 13 poems left. Therefore, P(B|A) = 2/12
Based on the rule of multiplication,
P(A ∩ B) = P(A) P(B|A)P(A ∩ B) = 4/13 * 2/12
P(A ∩ B) = 8/156
P(A ∩ B) = 2/39
The probability that you will be assigned a poem by Shakespeare, then a poem by Tennyson is 2/39 or 5.13%.
The correct question is
<span>Keiko sold 3 less than three-fourths of his sister’s sales. Which expression represents what Keiko sold?
Let
S----------------> </span><span>the amount that Keiko's Sister sold
</span>K----------------> the amount that Keiko sold
we know that
Keiko sold 3 less than three-fourths of his sister’s sales
K=(3/4)*S-3
the answer is
K=(3/4)*S-3
You want to multiply 40 hours by the regular hourly pay which would be $9.14,
9.14*40= 365.6
Overtime is generally 1.5 times regular pay so take 9.14*1.5= 13.71 and this would be your overtime hourly rate
Regular hourly rate (1x) : $9.14
Overtime hourly rate (1.5x): $13.71
Take your 8 hours of OT and multiply it by 13.71
13.71*8= 109.68
Add 365.6 and 109.68 to get a final answer of 475.28. The answer would've been C
96 oz is greater than 5 lb
