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)
1. C(x, y) = (7.3, –3.9)
2. C(x, y) = (17, –1.5)
Solution:
Question 1:
Let the points are A(3, –5) and B(19, –1).
C is the point that on the segment AB in the fraction .
Point divides segment in the ratio formula:
Here, and m = 3, n = 8
C(x, y) = (7.3, –3.9)
Question 2:
Let the points are A(3, –5) and B(19, –1).
C is the point that on the segment AB in the fraction .
Point divides segment in the ratio formula:
Here, and m = 7, n = 1
C(x, y) = (17, –1.5)
Find 15% of $8
Simply do this by multiplying 0.15 and 8
0.15 * 8 = 1.2
This means you left a $1.20 tip on top of your original $8
$8 + $1.20 = $9.20
Answer:2
Step-by-step explanation:
(2x+5)/3 = 3/2
Multiply both sides by 3:
2x + 5 = 9/2
Subtract 5 from both sides:
2x = 9/2 - 5 = 9/2 - 10/2 = 3/2
Divide both sides by :
x = 3/4
Answer:
D. (x-8)(x+2)(x+4)
Step-by-step explanation:
I graphed the expressions below on the graph.
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