Answer:
35
Step-by-step explanation:
(9 - 3)² - (5 . 4)⁰
= (6)² - (20)⁰
= 36 - 1
= 35
Answer:
50.3 mm
Step-by-step explanation:
The perimeter of the shaded region = perimeter of a full circle + 2(Length)
= πd + 2(L)
diameter (d) = width = 9 mm
Length (L) = 11 mm
Perimeter of the shaded region = π*9 + 2(11)
= 50.2743339 ≈ 50.3 mm (nearest tenth)
Answer: in order to qualify, the time must be at least 15.93 minutes
Step-by-step explanation:
Let x be a random variable representing the average response times of fire departments to fire calls. Since it follows a normal distribution, we will determine the z score by applying the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = population standard deviation
From the information given,
µ = 12.8 minutes
σ = 3.7 minutes
in order to qualify for the special safety award, the probability value would be to the right of the z score corresponding to 80%
The z score corresponding to 80% on the normal distribution table is 0.845
Therefore,
0.845 = (x - 12.8)/3.7
0.845 × 3.7 = x - 12.8
3.13 = x - 12.8
x = 12.8 + 3.13 = 15.93
