Answer:
the first answer is correct Edge 2020
Step-by-step explanation:
Answer:
(27.3692 ; 44.6308)
Step-by-step explanation:
Mean, xbar = 36
Standard deviation, s = 11
Sample size, n = 12
Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/sqrt(n)
Margin of Error = 2.718 * 11/sqrt(12) = 8.6308
Confidence interval :
Lower boundary : 36 - 8.6308 = 27.3692
Upper boundary : 36 + 8.6308 = 44.6308
(27.3692 ; 44.6308)
Using proportions, it is found that his tax rate is of 28.84%.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
His tax rate is the proportion that the <u>deductions are of the total salary</u>, hence:
12,200/42,300 = 0.2884 = 28.84%.
Hence his tax rate is of 28.84%.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
see below
Step-by-step explanation:
To find the combined length of Pine and Elm and the lengths together
Pine +Elm
We are estimating by rounding to the nearest whole number
Pine is 2.7 so it rounds to 3 because we look at the .7 and since .7 is greater than .5 it rounds the 2 to 3
Elm is 8.9 so it rounds to 9 because we look at the .9 and since .9 is greater than .5 it rounds the 8 to 9
2.7 + 8.9 rounds to 3+9 = 12
12 is reasonable because the actual answer is 2.7+8.9 = 11.6 which rounds to 12