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yan [13]
3 years ago
15

in a city school of 1,200 students, 40% of the students are on the honor roll, 60% have a part-time job, and 22% are on the hono

r roll and have a part-time job. What is the probability (rounded to the nearest whole percent) that a randomly selected student is on the honor roll, given that the student has a part-time job?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
4 0
Let
A = event that the student is on the honor roll
B = event that the student has a part-time job
C = event that the student is on the honor roll and has a part-time job

We are given
P(A) = 0.40
P(B) = 0.60
P(C) = 0.22
note: P(C) = P(A and B)

We want to find out P(A|B) which is "the probability of getting event A given that we know event B is true". This is a conditional probability

P(A|B) = [P(A and B)]/P(B)
P(A|B) = P(C)/P(B)
P(A|B) = 0.22/0.6
P(A|B) = 0.3667 which is approximate

Convert this to a percentage to get roughly 36.67% and this rounds to 37%

Final Answer: 37%

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wel
Hello! To find the answer to this, let’s do 6x + 4x = 180. Combine like terms and you get that 10x = 180. Divide each side by 10 in order to get 18. Angle 1 = 108 degrees and Angle 12 = 72 degrees. Odd number angles match each other and even number angles match each other. In this case, 5 has the same angle measurement as 1, which is 108. The answer is D: 108 degrees.
3 0
3 years ago
Please help and thanks ​
pav-90 [236]

Answer: Bottom left corner

Angle DEC and Angle DEH

=============================================================

Explanation:

I recommend opening your favorite paint program, and using different colors to mark on the drawing as I have done below (see attached image). Note how angle DEC is in red and angle DEH is in blue. The two angles are adjacent, meaning they share the same ray (in this case, ray ED) and they form a straight angle.

Because they form a straight angle, or straight line, this means the two angles are supplementary. Supplementary angles always add to 180.

4 0
3 years ago
X = 3y - 6 2x - 4y = 8 Solve the system of equations using substitution.
Brut [27]
Hello

x = 3y - 6
2x - 4y = 8
We need to start by solving 3y - 6 for x
Substitute 3y -6 for x in 2x
2x - 4y = 8
2(3y - 6) - 4y = 8
2y - 12 = 8
2y = 8 + 12
2y = 20
Divide both sides by 2
2y/2 = 20/2
y = 10

Now, substitute 10 for y in x= 3y
x = 3y - 6
x = 3(10) - 6
x = 30 - 6
x= 24

Answer : x = 24 and y=10

I hope this help!
7 0
3 years ago
Read 2 more answers
the length of 3 peices of wire are in the ratio 10:15:8.if the length of the shortest peice of wire is 2.4 find the difference i
dalvyx [7]
10:15:8
3:4.5:2.4
The difference = 1.5
7 0
3 years ago
Factor each completely
avanturin [10]
K^2-5k-50
(k-10)(k+5)

This is because k*k=k^2 (your first term), 5k-10k=-5k (your second term) and -10*5=-50 (your last term).

Distribute to check.
3 0
3 years ago
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