Answer: 2 roots
Step-by-step explanation:
To determine which answer is correct, apply the given ratio. 1/20:? Just by looking at it we know C is wrong. 4:100 is simplified to 1:25. B is also wrong, as 180:9 is 20:1, which is backwards from 1:20. However, A is correct because 9:180 is 1:20. D is also wrong for the same reasons B and C are wrong. Your answer is A!
10a. y= 35x + 60
10b. $165
Answer:
Step-by-step explanation:
a) It is a binomial distribution.
n = 25
p = 0.15
b) mean = np = 25 * 0.15 = 3.75
variance = np(1 - p)
= 25 * 0.15 * (1 - 0.15)
= 3.1875
c) P(X = x) = nCx * px * (1 - p)n - x
P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
= 25C0 * (0.15)^0 * (0.85)^25 + 25C1 * (0.15)^1 * (0.85)^24 + 25C2 * (0.15)^2 * (0.85)^23 + 25C3 * (0.15)^3 * (0.85)^22 = 0.4711
d) P(X = 3) = 25C3 * (0.15)^3 * (0.85)^22 = 0.2174
Answer:
D
Step-by-step explanation:
the 2 square root terms can be combined under one large square root.
and the general multiplication factor of 2 remains on the outside.
2×sqrt(24x³ / 3x) = 2×sqrt(8x²) = 2×sqrt(4×2x²) =
2×2×sqrt(2x²) = 2×2×x×sqrt(2) = 4x sqrt(2)
