Answer:
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Step-by-step explanation:
Answer:
( $74.623, $83.777)
The 90% confidence interval is = ( $74.623, $83.777)
Critical value at 90% confidence = 1.645
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = $79.20
Standard deviation r = $10.41
Number of samples n = 14
Confidence interval = 90%
Using the z table;
The critical value that should be used in constructing the confidence interval.
z(α=0.05) = 1.645
Critical value at 90% confidence z = 1.645
Substituting the values we have;
$79.20+/-1.645($10.42/√14)
$79.20+/-1.645($2.782189528308)
$79.20+/-$4.576701774067
$79.20+/-$4.577
( $74.623, $83.777)
The 90% confidence interval is = ( $74.623, $83.777)
<span>You are given the debt collected by Joe Popoff with a 90% of a debt of $5,600.00 that had been overdue 90 days. This collection rate was 5% more than the average collection rate for that agent. The agent charged 25% commission. You are asked to find the net proceeds.
Amount collected
= $5,600 * 0.90
= $5,040
Commision
= $5,040 * 0.25
= $1,260
Net Proceeds
= $5,040 - $1,260
= $3,780 </span>
Answer:
The value of x = 1.5
Step-by-step explanation:
Given:
-1.2(3 – x) = -1.8
To Find:
x = ?
Solution:
Distributive property:
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
For example A(B + C) = A×B + A×C
Here we have,
-1.2(3 – x) = -1.8
Applying Distributive property we get ,
-1.2×3 -1.2×-x = -1.8
∴ -3.6 +1.2x = -1.8
∴ 
∴ x = 1.5