Answer:
46.5
Step-by-step explanation:
Since he gets paid more for tutoring, he should work as many hrs tutoring as possible. He can only work at most 20 hrs. He has to work at least 3 hrs tutoring but no more then 8 hrs.....to maximize profit, he needs to work 8 hrs tutoring...leaving 12 hrs as a teachers aide. He should work 20 hrs to maximize his earnings.
maximum profit is : 8(10) + 12(7) = 80 + 84 = 164
Answer:
19ft
Step-by-step explanation:
76÷4-- because a square has 4 sides
=19ft
19+19+19+19
=76
Answer:
∠ ABE = 46°
Step-by-step explanation:
Since BE bisects ∠ ABC , then
∠ EBC = ∠ ABE, substitute values
4x - 6 = 2x + 20 ( subtract 2x from both sides )
2x - 6 = 20 ( add 6 to both sides )
2x = 26 ( divide both sides by 2 )
x = 13
Thus
∠ ABE = 2x + 20 = 2(13) + 20 = 26 + 20 = 46°
Answer:
A. 0.099
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: She does not have a heart attack.
Event B: tests predicts that she will have a heart attack
The doctors told her that the reliability of the stress test is 67%.
This means that there is a 100 - 67 = 33% of not having a heart attack if the test predicts she will have a heart attack, so:

70% risk of heart attack
So 100 - 70 = 30% probability of not having a heart attack, which means that 
What is the probability that Erin will not have a heart attack and the test predicts that she will?


The correct answer is given by option A.