Answer:
And we want to find this probability:
And we can find this probability:
And using the normal table or excel we got:
Step-by-step explanation:
For this case we have the following info given:
represent the sample size
represent the true proportion
The sample proportion can be approximated with this distribution:
The mean is given by:
And the deviation is given by:
And we want to find this probability:
And we can use the z score formula given by:
And replacing we got:
And we can find this probability:
And using the normal table or excel we got:
When you add 20 and 29, you get 49. When you add 21 and 28, you get 49. You will realize that there's 5 pairs that result in a sum of 49. 5*49=245.
Answer:
total cost of her loan be if she paid it off 8 years early $389,507.11
Step-by-step explanation:
The formula for annual compound interest, including principal sum P, rate of interest r, number of years t, and the number of times that interest is compounded per year is n:
A = P (1 + r/n)^ (nt)
<u>calculate total cost after 22 years</u>
P = $145,000
r = 4.5 %
t = 22 years
n = 12
A = P (1 + r/n)^ (nt)
A = 145,000(1 + 4.5/12)^ (22x12)
A = $389,507.11
Answer:
Z=20 Degrees
Step-by-step explanation:
We know that all of the angles of a triangle add up to 180, so:
65+55+ Angle A = 180
Simplify:
120+ Angle A = 180
Subtract 120 from both sides:
Angle A = 60
If you look at the bottom you can see that the 15 turns into 5, meaning it is being divided by 3, so:
60/3=20
Z=20 Degrees
Answer:
12
Step-by-step explanation:
You do what's in parentheses first, but everything is in parentheses so it's pretty much ineffective. In PEMDAS, addition and subtraction are coupled so you do them left to right. 6-1 is 5 and 5+7 is 12.