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%
|a+b| + |c| when a= -5, b= 8, c= -13:
|-5+ 8|+ |-13|
= |3|+ 13
= 3+ 13
= 16
The correct answer is D. 16~
Answer:
B. In step 2, marquis should have interpreted the results as x _< - 9.2, which means that x is less than or equal to -9.2
Step-by-step explanation:
Step 1 is correct.
Step 2.
-9.2 >= x
Subtract x from both sides.
-x - 9.2 >= 0
Add 9.2 to both sides.
-x >= 9.2
Divide both sides by -1. When you multiply or divide both sides of an inequality, the inequality sign changes direction.
x <= -9.2
The first error is in Step 2.
Answer:
B. In step 2, marquis should have interpreted the results as x _< - 9.2, which means that x is less than or equal to -9.2
Assuming that <span>4^2-6(2^x)-16=0 is correct, we can rearrange it as:
</span><span>-6(2^x) + 4^2 - 16=0
Are you sure it's not </span>6(2^x) + 4^2 - 16=0 ?
If 6(2^x) + 4^2 - 16=0 is correct, then
6(2^x) + 4^2 - 16=16 - 16 = 0, that is, 6(2^x) = 0. Then x = 0 (answer)
