A square rotated about its center by 360º maps onto itself at 4 different angles of rotation. You can reflect a square onto itself across 4 different lines of reflection.
P(allergic) = 0.15
P(both are allergic to pollen) = (0.15)² = 0.0225 (you can use the binomial probability also)
Q(NOT allergic to pollen) = 1 - 0.0225 = 0.9775
Binomial probability
Probability of NEITHER is allergic
ⁿCₓ(p)ˣ(q)ⁿ⁻ˣ
²C₀(0.15)⁰(0.9775)² = 0.9555
P(at LEAST ONE is allergic) = 1- 0.9555 = 0.0444
Answer:
11/20
Step-by-step explanation:
Finding the common denominator, which is 20, we convert 1/5 into 4/20 and 1/4 into 5/20. Adding those up, the remainder when subtracted from 1, the total, is 11/20.
One of the unknown angles (let's called it n) has a complement (meaning their sum adds up to 90 degrees) and the other angle is 8 times the unknown angle (8n)
With all this information, you should have the equation:
n + 8n = 90
To solve, combine like terms to get:
9n = 90
Divide by 9 on both sides to isolate the variable n.
n = 10
Now we plug back in to find our angle measurements. The first angle, n, is 10 degrees. The second angle, 8n, is 8 * 10 which is 80; the second angle is 80 degrees.
Answer:
2^3 =8
Step-by-step explanation:
2*2 =4
4*2 =8
2*2*2 =8
2^3 =8
