Answer:
a. 11.26 % b. 6.76 %. It appears so since 6.76 % ≠ 15 %
Step-by-step explanation:
a. This is a binomial probability.
Let q = probability of giving out wrong number = 15 % = 0.15
p = probability of not giving out wrong number = 1 - q = 1 - 0.15 = 0.75
For a binomial probability, P(x) = ⁿCₓqˣpⁿ⁻ˣ. With n = 10 and x = 1, the probability of getting a number wrong P(x = 1) = ¹⁰C₁q¹p¹⁰⁻¹
= 10(0.15)(0.75)⁹
= 1.5(0.0751)
= 0.1126
= 11.26 %
b. At most one wrong is P(x ≤ 1) = P(0) + P(1)
= ¹⁰C₀q⁰p¹⁰⁻⁰ + ¹⁰C₁q¹p¹⁰⁻¹
= 1 × 1 × (0.75)¹⁰ + 10(0.15)(0.75)⁹
= 0.0563 + 0.01126
= 0.06756
= 6.756 %
≅ 6.76 %
Since the probability of at most one wrong number i got P(x ≤ 1) = 6.76 % ≠ 15 % the original probability of at most one are not equal, it thus appears that the original probability of 15 % is wrong.
Answer: Review terms, factors, and coefficients, and try some practice problems. ... Terms. Terms are single numbers, variables, or the product of a number and variable. ... What is a variable? Terms ... So in the expression: 12x+ 19y -1, is the constant -1 or 1? ... In the term "4x", 4 would be the coefficient in the algebraic expression.
Step-by-step explanation:
let x represent the bus
6x + 21 = 195
6x = 195 - 21
6x =174
x = 29
Answer:
Q3: A
Q4: 9x² + (-x) + (-3)
Step-by-step explanation:
Q3: C (63) => x = 63. => C(x) = 36 x 63
Q4: f(x) + g(x) = 7x² - 5x + 3 + 2x² + 4x - 6 = (7x² + 2x²) + (-5x + 4x) + (3 - 6) = 9x² + (-x) + (-3)
Answer:
It should take roughly 3.5 years
Step-by-step explanation:
