Answer: 475.86 square feet
Step-by-step explanation:
Find the area of the rectangle first.
14 * 23 ft = 322 square feet
Find the area of the circle next.
The radius of the circle = 14 ft/2 = 7 ft
The total area is 322 + 49pi square feet = 475.86 square feet
Answer:
V≈6283.19
Step-by-step explanation:
V=πr^2h
V=π10^2*20
It would be 50,000 since the 5 in the other number is in the thousands place so just multiply that by 10 in place value.
Answer:
9m+6m^2n
Step-by-step explanation:
12mn-3mn=9mn
4m^2n+2m^2n=6m^2n
==> 9m+6m^2n
or rewrite as 3m(3+2mn)
Answer:
Step-by-step explanation:
Let x be the random variable representing the times a fire department takes to arrive at the scene of an emergency. Since the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 6 minutes
σ = 1 minute
the probability that fire department arrives at the scene in case of an emergency between 4 minutes and 8 minutes is expressed as
P(4 ≤ x ≤ 8)
For x = 4,
z = (4 - 6)/1 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.023
For x = 8
z = (8 - 6)/1 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.98
Therefore,
P(4 ≤ x ≤ 8) = 0.98 - 0.23 = 0.75
The percent of emergencies that the fire department arrive at the scene in between 4 minutes and 8 minutes is
0.75 × 100 = 75%
