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
Answer:
Step-by-step explanation:
two step equation
n - 5/2 = 5
n = 5 + 5/2
n = 5 + 2.5
n = 7.5
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check
7.5 - 5/2 = 5
7.5 - 2.5 = 5
5 = 5
the answer is good
Answer:
Step-by-step explanation:
sin = opposite / hypotenuse
- sin 63° = 18/x
- x = 18 / sin 63°
- x = 20.2