Answer:
Either 130 or 131 would be acceptable.
Step-by-step explanation:
When we estimate, we do not use exact values.
66.17 is close to 66
44.98 is close to 45
20.15 is close to 20
Add the estimates together: 66+ 45+ 20 = 131
We could also estimate 66.17 to 65 which would give us an estimate of 130
Answer:
Looking for four values or answers
(A) 5.05
(B) 13
(C) $254,140.33
(D) $254,145.38
Step-by-step explanation:
(A) The value of the margin of error.
Using a 90% confidence level or 0.10 alpha level,
1 - alpha = 1 - 0.10 = 0.90
The degrees of freedom = n - 1 = 14 - 1 = 13
Using the t table, 0.90 under 13 is 1.350
Sample size divided by √n is equal to
14/√14 = 3.742
1.35 × 3.742 = 5.05
(B) 13 degrees of freedom
(C) To find the lower and upper limits, you find the mean value first and then subtract / add to half of the margin of error which is 5.05÷2 = 2.525
Adding the 14 values together, you have $3,558,000
Dividing by 14 to get the mean;
Mean = $254,142.8571
Lower Limit: $254,140.33
Upper Limit: $254,145.38
Answer: option C
Step-by-step explanation:
The diagram of the triangle is shown in the attached photo. The triangle is a right angle triangle ABC
Assuming the given angle is #,
Recalling the trigonometric ratio,
tan # = opposite / adjacent
If tan # = 4, it means
opposite / adjacent = 4/1
Therefore, opposite = 4 and adjacent = 1
Applying Pythagoras theorem,
Hypotenuse^2 = opposite ^2 + adjacent ^2
Hypotenuse = AC
Opposite = 4
Adjacent = 1
AC^2 = 4^2 + 1^2 = 17
AC = ± √17
To determine cos #, we would apply another trigonometric ratio,
Cos# = adjacent /hypotenuse
Cos# = 1/±√17
Cos # =-1 /√17 or 1/√17
It's another word for unit rate if that helps
