4.5
pi is about 3.14 and root 23 is about 4.8 - the only number between these values is 4.5
Answer:
6
Step-by-step explanation:
Answer:
A, B, C are correct
Step-by-step explanation:
m∠T is the complement of ∠C, so is 90° -16.7° = 73.3° . . . matches C
The lengths of the sides are ...
t = a·cos(16.7°) = 49·0.957822 ≈ 46.93 . . . matches B (not D)
c = a·sin(16.7°) = 49·0.287361 ≈ 14.08 . . . matches A
A)
B) s = 304.2
C)
To find the sample mean, add all of the data points together and then divide by 12, the number of data points:
(1425+1227+989+697+729+839+729+742+550+626+1449+941)/12 = 10943/12 = 911.9
To find the sample standard deviation, subtract each data point from the mean; square the result; find the average of these; then take the square root.
To construct a confidence interval, first find the z-score that goes along with it:
Convert 95% to a decimal: 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this value corresponds with a z-score of 1.96.
We use this to calculate the margin of error:
This gives us the confidence interval
Answer:
Rhonda should be thinking that the state income tax deduction was in excess by $4.89
Step-by-step explanation:
The state income tax withholding should have been 21% of the her federal income tax withholding of $122.25
The expected state income tax withholding=21%*$122.25=$25.67
The actual amount deducted for state income tax is $30.56 which translated into excess deduction of $4.89.
The actual deduction was 25% of federal income tax ($30.56/$122.25)