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%
Answer:
#6 is 17 days
Step-by-step explanation:
This is how I answered it
1) 2750 = 550 + 125x
2) subtract 550 from each side
2750-550=2200
so the left over equation is:
2200 = 125x
3) divide each side by 125 to get x by itself
2200÷125= 17.6
4) you are left with: x = 17 days
9514 1404 393
Answer:
x = 16
Step-by-step explanation:
Either or both of the right triangles can be used to find x. Or, triangle ABC could be used. All numbers are assumed to be degrees.
<u>Using ∆ABD</u>
55 +90 +2x+3 = 180
2x = 32 . . . . . . subtract 148
x = 16
<u>Using ∆BCD</u>
50 +90 +2x+8 = 180
2x = 32 . . . . . . subtract 148
x = 16
<u>Using ∆ABC</u>
55 +(2x +3) +50 +(2x +8) = 180
4x = 64 . . . . . . . subtract 116
x = 16
Answer:
A on Edg2020
Step-by-step explanation:
