As your testing H0:p=0.79, then you have a two-tailed test.
The p-value at two-tailed test is given by:
Then, you need to check into the standard normal cumulative table to find at which -z you do have a probability of 0.395. Thus:
As you can see in the picture at z=-0.26 you have a P(Z<=-z)=0.3974
And at z=-0.27 you have a P(Z<=-z)=0.3936.
The average of these values is:
Then, you have a probability of 0.395 at a z of:
Then -z=-0.27, thus z=0.27
Answer:
$11,500 was invested at 13%.
$17,500 was invested at 4%
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
In this question:
Loans totaling 29,000.
P was invested at 13%
29000 - P was invested at 4%.
First investment:
Principal P.
Interest 13% = 0.13.
One year, so t = 1.
So
Second investment:
Principal 29000 - P.
Interest 4% = 0.04.
One year, so t = 1.
So
The total interest earned for both loans was $2,195.00.
This means that
So
So we solve the following system:
$11,500 was invested at 13%.
29000 - 11500 = 17500
$17,500 was invested at 4%
Answer:
Step-by-step explanation:
The difference between double the first purchase and the second purchase is $7 and 2 pounds of jelly beans. Hence a pound of jelly beans is $3.50.
(4t +8j) -2(2t +3j) = (33) -2(13) . . . . . let t and j represent pounds of trail mix and jelly beans, respectively
2j = 7 . . . . . . . . . . simplify
j = 7/2 = 3.50
Using that value in the first purchase, we get ...
2t +3(3.50) = 13
2t = 13 -10.50
t = 2.50/2 = 1.25
A pound of trail mix is $1.25.
