7-4+<u>3x0</u>+1=<u>7-4</u>+0+1
=<u>3+0</u>+1
=<u>3+1
</u>=4<u>
</u>
Answer:
a. Fail to reject the null hypothesis.
Step-by-step explanation:
Here we test the claim that proportion of reachers is really 41%
(Two tailed test at 1% significance level)
Observed proportion = 0.36
Sample size n = 100
Std error of proportion =
p difference = 0.36-0.41 =- 0.05
Test statistic Z = p diff/std error =-1.0166
p value=0.286
Since p >0.01 we accept null hypothesis.
a. Fail to reject the null hypothesis.
Answer:
So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5
And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5
Step-by-step explanation:
This problem can be solved in several ways. The way I like is as follows.
Ask yourself at what interest would $ 21,000 yield and interest of $ 2,215 in one year ? The equation to solve is:
21000(P) = 2215
P = 0.1055 or 10.55 %
This number is a weighed average of the 4% yield and the 15% yield so the next equation to solve is
10.55 = 4(1 – X) + 15X
Where X is the proportion of the loan given at the indicated interest. So
10.55 = 4 – 4X + 15X
6.55 = 11X
X = 0.5955
1-X = 0.4045
So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5
And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5
10 x 4 = 40. This should help with the first one.
644 seats/ (23 seats/ 1 row)
= 644 seats *(1 row/ 23 seats)
= 28 rows.
There are 28 rows in the auditorium.
Hope this helps~