Answers: 0.286
Explanation:
Let E → major in Engineering
Let S → Play club sports
P (E) = 28% = 0.28
P (S) = 18% = 0.18
P (E ∩ S ) = 8% = 0.08
Probability of student plays club sports given majoring in engineering,
P ( S | E ) = P (E ∩ S ) ÷ P (E) = 0.08 ÷ 0.28 = 0.286
30,000 is he answer hope it work
Answer:
a² - b² = 1
Step-by-step explanation:
The given parameters are;
sec 50° = a
cot 40° = b
We note that sec(θ) = 1/cos(θ) and cot(θ) = 1/tan(θ)
a² - b² = sec²50° - cot²40°
Given that sec(90 - θ) = cosec(θ) where; cosec(θ) = 1/sin(θ), we have;
sec²50° - cot²40° = sec²(90° - 50°) - cot²40° = sec²(40°) - cot²40°
sec²(40°) - cot²40° = cosec²(40°) - cot²40°
Also we have;
cosoc²(θ) = 1 + cot²(θ)
Therefore, we have;
cosoc²(40°) - cot²40° = 1 + cot²(40°) - cot²40° = 1
Therefore, where sec(50°) = a and cot(40°) = b, the value of a² - b² is 1.
Answer:
Step-by-step explanation:
Dilating with a scale factor of 3 centered at the origin means we multiply all the coordinates by 3.
- (0,2) maps onto (0,6).
- (0,4) maps onto (0,12).
- (3,2) maps onto (9,6).
- (3,4) maps onto (9,12).
Therefore, the answers are the second option and the sixth option.
4, 5, 6, 7, 8, . . .
a = 4, d = 5 - 4 = 1, n = 150
Sn = n/2[2a + (n - 1)d]
S(150) = 150/2[2(4) + (150 - 1)1] = 75[8 + 149] = 75(157) = 11,775