Answer:
a) 0.857
b) 0.571
c) 1
Step-by-step explanation:
Based on the data given, we have
- 18 juniors
- 10 seniors
- 6 female seniors
- 10-6 = 4 male seniors
- 12 junior males
- 18-12 = 6 junior female
- 6+6 = 12 female
- 4+12 = 16 male
- A total of 28 students
The probability of each union of events is obtained by summing the probabilities of the separated events and substracting the intersection. I will abbreviate female by F, junior by J, male by M, senior by S. We have
- P(J U F) = P(J) + P(F) - P(JF) = 18/28+12/28-6/28 = 24/28 = 0.857
- P(S U F) = P(S) + P(F) - P(SF) = 10/28 + 12/28 - 6/28 = 16/28 = 0.571
- P(J U S) = P(J) + P(S) - P(JS) = 18/28 + 10/28 - 0 = 1
Note that a student cant be Junior and Senior at the same time, so the probability of the combined event is 0. The probability of the union is 1 because every student is either Junior or Senior.
Answer: 16/5
5n=12+4
5n=16
n= 16/5
Answer:
a) 18 grapefruits
b) 6 grapefruits
Step-by-step explanation:
a) n = 14.4 / 0.80 = 18 grapefruits
b) n = (14.4 / 3) / 0.8 = 6 grapefruits
Answer:
(8 - x) • (2x - 3)
Step-by-step explanation:
1. Since interior adjacent angles are equal
The angle 6x+3 is equal to 45 degrees
so 6x+3=45 ➡️ 6x=45-3 ➡️ 6x=42
x=42/6, x=7
Ans: x=7 degrees
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2. Since congruent angles are equal
The angle 5x+19= 7x-1
so 5x+19=7x-1 ➡️ 5x+19+1=7x ➡️ 20=7x-5x ➡️ 2x=20
x=20/2=10.
Ans: x=10 degrees