Μ = 500, population mean
σ = 110, population stadard deviation
The given table is
z 0.00 0.25 0.35 0.45 1.00 1.26 1.35 1.36
P 0.5000 0.5987 0.6368 0.6736 0.8413 0.8961 0.9115 0.9131
Range of random variable is X = [350, 550].
Calculate z-score for x = 350.
z = (350 - 500)/110 = -1.364
From the given tables,
The probability at x = 350 is
1 - 9131 = 0.0869
Calculate the z-score for x = 550.
z = (550 - 500)/110 = 0.454
From the given tables,
The probability at x = 550 is 0.6736
The probability that x =[350,550] is
0.6736 - 0.0869 = 0.5867
Answer: 0.5867 (or 58.7%)
Answer:
0.34285714285 i think
Step-by-step explanation:
Answer:
9 hours and 20 minutes.
Step-by-step explanation:
In one hour, Amanda can proofread 17 reports.
In one hour, Sally can proofread 28 reports.
That means together, they can proofread 45 reports in one hour.
So we need to divide the total amount of reports by how much they can read in an hour:
420/45 = 28/3 = 9 1/3
The time it takes between the two of them is 9 hours and 20 minutes.
Answer:
The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.
I guess that we want to find the expected value in one spin:
number 1: wins $1
number 2: wins $3
number 3: wins $5
number 4: wins $7
number 5: losses $8
number 6: loses $8
The expected value can be calculated as:
Ev = ∑xₙpₙ
where xₙ is the event and pₙ is the probability.
We know that the probability for all the events is 1/6, so we have:
Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0
So the expected value of this game is $0, wich implies that is a fair game.
Answer:
The correct option is d.
Step-by-step explanation:
It is given that Zack borrowed $1,087 for 12 months at 11% interest. It means he must pay 11.00 per $100.
Formula of simple interest:
Where P is principal amount, r is rate of interest in percentage and t is time in years.
The interest paid by Zack is $1,087.
The total amount of money he will repay is
Therefore option d is correct.
