Answer: The maximum error = $105.76.
Step-by-step explanation:
Formula to find the maximum error:
, where n= sample size.
= Population standard deviation
z*= Critical value(two-tailed).
As per given , we have
n= 35
For 98% confidence , the significance level = 
By z-table , the critical value (two -tailed) =
Now , the maximum error = 
Hence, With 98% confidence level , the maximum error = $105.76.
The answer is 8/3 thank me
Answer: 7 weeks
Step-by-step explanation:
Let x represent number of weeks
Let y represent the total amount
Amount = Paycheck deposited * number of weeks + Initial amount
y = 125x + 475
Number of weeks until she has $1350
1350 = 125x + 475
125x+475-475=1350-475
125x=875
x=7
Therefore, the student will have $1350 in her bank account after 7 weeks
Answer:
x = 4
Step-by-step explanation:
24 + 0.44x = 19 + 1.69x
24 - 24 + 0.44x = 19 - 24 + 1.69x
0.44x = -5 + 1.69x
0.44x - 1.69x = -5 + 1.69 - 1.69
-1.25 = -5
-1.25/-1.25 = -5/-1.25
x = 4
Answer:
5770 feet
Step-by-step explanation:
The height of the wall under the Waters proposal is 20 feet and the height of the wall under the Barrett proposal is 34 feet and its perimeter is 9809 feet. Since there is an increase in the dimensions of the wall, we find this percentage increase.
So, the percentage increase in the height of the wall is thus (New height - Old height)/Old height × 100%
New height = 34 feet and Old height = 20 feet
So, Percentage increase = (New height - Old height)/Old height × 100% = (34 ft - 20 ft)/20 ft × 100 % = 14/20 × 100% = 7/10 × 100% = 70 % increase.
Since all the dimensions increase by the same amount, the perimeter in the Waters proposal increases by 70% to the perimeter in the Barrett proposal.
Let P = perimeter in the Waters proposal and P' = perimeter in the Barrett proposal.
So, the percentage increase in perimeter is
(P' - P)/P × 100 % = 70 %
We now find P
(P' - P)/P = 70%/100%
(P' - P)/P = 0.7
P' - P = 0.7P
P' = 0.7P + P
P' = 1.7P
P = P'/1.7
So, substituting the value for P' = 9809 feet
P = P'/1.7
= 9809 ft/1.7
= 5770 feet
So, the perimeter of the wall under the Waters Proposal is 5770 feet.
