This is a binomial distribution where 80% of flights arrive on time (p = 0.8) and 20% do not (q = 1 - 0.8 = 0.2). Then the probability that exactly 2 flights arrive late follows the formula:
(nCr)(p^r)(q^(n-r)), where n = 16 (total # of flights), r = 14 (flights that arrive on time)
(16C14)(0.8^14)(0.2^2) = 0.2111
Answer:
x = 32
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+18) * 18 = 30^2
(x+18) * 18 = 900
Divide each side by 18
(x+18) * 18/18 = 900/18
(x+18) = 50
Subtract 18 from each side
x+18-18 = 50-18
x=32
Answer:
- D. Neither
- x- intercept: (-13/6, 0), y- intercept: (0, 13)
- (-1, 3)
Step-by-step explanation:
#1
<u>Substitute pairs of solutions and verify</u>
(1, 7)
(2, -7)
- -7 = -2*2 - 5
- -7 = -11
- Wrong
Correct choice is <u>D. Neither</u>
#2
<u>x- intercept: y = 0</u>
- 6x + 13 = 0
- 6x = -13
- x = -13/6
- (-13/6, 0)
<u>y- intercept: x = 0</u>
- y = 6*0 + 13
- y = 13
- (0, 13)
#3
<u>x = -1 ⇒ find y:</u>
- y - 3 = 2(-1 + 1)
- y = 3
- (-1, 3)
Answer: 4π
Step-by-step explanation: The diameter is 4 cm which means the radius is 2 cm. Diameter divided by two will give you the radius. The formulae for circumference is 2 π⋅r. So the circumference would be 4π
