Line A is perpendicular to Line B. If the slope of A is -1/7, what is the slope of Line B?
1 answer:
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Answer:
Amount invested at 8% is $9000 and amount invested at 18% is $21000.
Step-by-step explanation:
Let amount invested at 8% be x.
Let amount invested at 18% be y.
We get the 1st equation as:
........(1)
We get the second equation as:
=>
or getting rid of the decimal by multiplying by 100 on both sides.
........(2)
Multiplying (1) by 8 and subtracting from (2) we get
So, y = 21000
And
So, x = 9000
Therefore, amount invested at 8% is $9000 and amount invested at 18% is $21000.
Answer:
Step-by-step explanation:
From the given information:
For trained subjects:
sample size = 1200
The sample mean = 789
For non-trained subjects:
Sample size = 1200
The sample mean = 632
For trained subjects, the proportion who repaid the loan is:
For non-trained loan takers, the proportion who repaid the loan was:
The confidence interval for the difference between the given proportion is:
=
where;
Level of significance = 1 - C.I
= 1 - 0.95
= 0.05
Z - Critical value at ∝ = 0.05 is 1.96
The Margin of Error (E) =
= 1.96 × 0.019881
≅ 0.039
The lower limit =
= (0.658 - 0.527) - 0.0389
= 0.131 - 0.0389
= 0.092
The upper limit =
= (0.658 - 0.527) + 0.0389
= 0.131 + 0.0389
= 0.167
Thus, 95% C.I for the difference between the proportion of trained and non-trianed loan takers who repaired the loan is:
For this study;
The null hypothesis is:
The alternative hypothesis is:
Since the C.I lie between (0.092, 0.17);
And the null hypothesis value does not lie within the interval (0.092, 0.17).
∴
we reject the null hypothesis at ∝(0.05).
Conclusion: We conclude that there is enough evidence to claim that the proportion of trained and non-trained loan takers who repaired the loan are different.