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:
x ≤ 16 and x ≥ -2
Step-by-step explanation:
3 |x-7| ≤ 27
• divide both sides by 3:
|x-7| ≤ 9
• first assume the positive case of the absolute value:
x-7 ≤ 9
• add 7 to both sides:
x ≤ 16
• Now, go back to the absolute value and assume the negative case.
-(x-7) ≤ 9
-x+7 ≤ 9
• subtract 7 from both sides:
-x ≤ 2
• divide each side by -1 and flip the inequality sign:
x ≥ -2
Answer:
the first plant would be 2x + 19 more than the second plant
Step-by-step explanation:
The computation is shown below:
Given that
There production levels are
9x + 14 and 7x - 5
Now
= 9x + 14 - (7x - 5)
= 9x + 14 - 7x + 5
= 2x + 19
Hence, the first plant would be 2x + 19 more than the second plant
The answer to your question is 27.5
