Answer: 6 1/8
Step-by-step explanation:
1/8 x 2 = 1/8 x 2/1 = 2/8 = 1/4
1/4 x 3 = 1/4 x 3/1 = 3/4
3/8 x 4 = 3/8 x 4/1 = 12/8 = 1 4/8 = 1 1/2
1/2 x 3 = 1/2 x 3/1 = 3/2 = 1 1/2
5/8 x 1 = 5/8 x 1/1 = 5/8
3/4 x 2 = 3/4 x 2/1 = 6/4 = 1 2/4 = 1 1/2
Start with the big number first.
1 1/2 = 1 4/8
1 1/2 = 1 4/8
1 1/2 = 1 4/8
5/8 = 5/8
3/4 = 6/8
1/4 = 2/8
Add them all up.
1 4/8 + 1 4/8 = 2 8/8 = 3
3 + 1 4/8 = 4 4/8
4 4/8 + 5/8 = 4 9/8 = 5 1/8
5 1/8 + 6/8 = 5 7/8
5 7/8 + 2/8 = 5 9/8 = 6 1/8
I think it’s 12 of the hexagon
Mean, m = 18 in
Standard deviation, SD = 2.2 in
Range: 16 ≤ X ≤ 21 in
Calculating Z value,
Z = (X-m)/SD
Then,
Z1 = (16-18)/2.2 ≈ -0.91
Z2 = (21-18)/2.2 ≈ 1.36
From Z table, and at Z1 = -0.91, and Z2 = 1.36;
P(16) = 0.1814
P(21) = 0.9131
Therefore,
P(16≤X≤21) = 0.9131 - 0.1814 = 0.7317
The probability that a child selected randomly measures between 16 and 21 in is 0.7317.
<span>Find the difference between ninety-eight and seventy-eight, then multiply by eleven. Ninety-eight minus seventy-eight is twenty, take this and multiply if by eleven to arrive at an answer of eleven. Following the order of operations the math within the parentheses must be done first, then the multiplication. The answer is two-hundred and twenty.</span>
Answer:
x = 9 ⇒ second answer
Step-by-step explanation:
∵ (a + 3)(-2a² + 15a + 6) =
-2a³ + 15a² + 6a - 6a² + 45a + 18 =
-2a³ + 9a² + 51a + 18
∵ (a + 3)(-2a² + 15a + 6) = -2a³ + xa² + 51a + 18
∴ -2a³ + 9a² + 51a + 18 = -2a³ + xa² + 51a + 18
∴ x = 9