Answer:
1079
Step-by-step explanation:
Answer:
4√2i , -4√2i.
Step-by-step explanation:
3x^2 + 64 = 2x^2/2
3x^2 + 64 = x^2
2x^2 + 64 = 0
2x^2 = -64
x^2 = -32
x = +/- √-32
x = +/- √16* -2
x = +/- 4√2 i.
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:
x=−1, y=−1
Step-by-step explanation:
Solve for x in the first equation.
x=−2−y
10x+3y=−13
Replace all occurrences of x with −2−y in each equation.
−20−7y=−13
x=−2−y
Solve for y in the first equation.
y=−1
x=−2−y
Replace all occurrences of y with −1 in each equation.
x=−1, y=−1