Answer:
12
Step-by-step explanation:
x = k/y Multiply each side by y
k = xy Insert values
= 6 × 72
= 432
x = 432/y Let y = 36
= 432/36
x = 12
Answer:
Area segment = 3/2 π - (9/4)√3 units²
Step-by-step explanation:
∵ The hexagon is regular, then it is formed by 6 equilateral Δ
∵ Area segment = area sector - area Δ
∵ Area sector = (Ф/360) × πr²
∵ Ф = 60° ⇒ central angle of the sector
∵ r = 3
∴ Area sector = (60/360) × (3)² × π = 3/2 π
∵ Area equilateral Δ = 1/4 s²√3
∵ The length of the side of the Δ = 3
∴ Area Δ = 1/4 × (3)² √3 = (9/4)√3
∴ Area segment = 3/2 π - (9/4)√3 units²
Answer:
let number=x
According to given condition
6-x=x-2(5)
6-x=x-10
6+10=x+x
16=2x
16/2=x
8=x
Answer:
Step-by-step explanation:
First, carry out the indicated multiplication. We get:
2m/5 - 4/5 + 3/5, which condenses to
2m - 1
2m/5- 1/5 or ---------------
5
Answer:
0.9812
Step-by-step explanation:
Given that human weights are normally distributed with mean 175 and standard deviation 36 pounds
For a sample of 9 people std error of sample would be

Thus we find that sample mean is N(175, 12)
The plane will lift safely if sample average <200 pounds
i.e. Probability that it can safely lift off (i.e., the average weight of a person in the helicopter is less than 200)
= 
~0.981