B is rational. B is the correct answer. B is rational.
3x² - 33x - 180 = 0
3(x² - 11x - 60) = 0
3(x² - 15x + 4x - 60) = 0
3(x + 4)(x - 15) = 0
3(x - 4) = 0 or x - 15 = 0
3x - 12 = 0 <u> + 15 + 15</u>
<u> + 12 + 12</u> x = 15
<u>3x</u> = <u>12</u>
3 4
x = 3
The answer is equal to H.15 and E. 4.
This is a binomial distribution with n = 5, p = 0.55, q = 1 - 0.55 = 0.45, x = 0, 1, 2, 3
P(x) = nCx p^x q^(n - x)
P(x ≤ 3) = 1 - P(x > 3) = 1 - [P(4) + P(5)]
P(4) = 5C4 x (0.55)^4 x (0.45) = 0.2059
P(5) = 5C5 x (0.55)^5 x 1 = 0.0503
P(x ≤ 3) = 1 - (0.2059 + 0.0503) = 1 - 0.2562 = 0.7438
Answer:
~181 containers filled completely, 6 eggs left over
Step-by-step explanation:
2178 ÷ 12 (a dozen, the number of eggs per container) = 181.5 containers
181 × 12 = 2,172 eggs
2,178 eggs - 2,172 = 6 eggs left over
9514 1404 393
Answer:
5 cm
Step-by-step explanation:
The kite is symmetrical about the long axis, so the height of each of the triangles is half the overall width of the kite. (10 cm/2 = 5 cm)
The height of the triangle <em>h</em> is 5 cm.