Answer:
84º
Step-by-step explanation:
If a line intersects parrelal lines, the angle in the same place will need to pe tha same.
Given:
p = 47% = 0.47, the probability that a man considers himself a professional baseball fan.
q = 1 - p = 0.53, the probability that a man does not consider himself a professional baseball fan.
n = 10, the number of men surveyed.
(a) Calculate the probability that exactly 5 of 10 men surveyed consider themselves as professional baseball fans.
P(5 of 10) = ₁₀C₅ p⁵q⁵ = 252*0.47⁵*0.53⁵ = 0.242
Answer: 0.242 or 24.2%
(b) Calculate the probability of at least 6 out of 10.
P(at least 6 of 10)
= ₁₀C₆ p⁶q⁴ + ₁₀C₇ p⁷q³ + ₁₀C₈ p⁸q² + ₁₀C₉ p⁹q + ₁₀C₁₀ p¹⁰ q⁰
= 0.1786 + 0.0905 + 0.0301 + 0.0059 + 0.0
= 0.3057
Answer: 0.3057 or 30.6%
(c) Calculate the probability of less than 4 of 10.
P(less than 4 of 10)
= ₁₀C₁ pq⁹ + ₁₀C₂ p²q⁸ + ₁₀C₃ p³q⁷
= 0.0155 + 0.0619 + 0.1464
= 0.2238
Answer: 0.2238 or 22.4%
Answer:
x=10
Step-by-step explanation:
By the Trapezoid Midsegment Theorem, the midsegment of a Trapezoid is 1/2(the sum of the 2 bases.
4x-20=1/2(23+17)
4x-20=1/2(40)
4x-20=20
4x=40
x=10
5)7÷0.002 = 35006)0.718÷0.2 = 3.59
7)0.0141÷0.003 = 4.7
8)0.24÷0.012 =20
9)1.625÷0.0013 = 1250
10)47.1÷0.15 =314