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)
We need a combination of coins that equal 65 cents.
The easiest one is 13 nickels.
Another combination is 6 dimes and 1 nickel.
A third is 2 quarters, 1 dime, and 1 nickel.
The list goes on.
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hope it helps
Answer:
$22,510.96
Step-by-step explanation:
Final investment value
$22,510.96
Total interest earned
$7,510.96
Initial balance
$15,000.00
Total monthly deposits
$0.00
Effective Annual Rate (APY)
7%
The measure of angle x will be 88 degrees. Then the correct option is C.
The complete question is attached below.
<h3>What is law of cosine?</h3>
Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
2ab cos θ = a² + b² – c²
The triangle is shown below.
Then the value of the variable x will be
2 · 7 · 10 · cos x = 7² + 10² – 12²
140 · cos x = 49 + 100 – 144
cos x = (149 – 144) / 140
x = 87.95 ≈ 88°
Then the correct option is C.
Learn more about law of cosines here:
brainly.com/question/17289163
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ANSWER
M=(−3,72)
Find A midpoint calculator on the internet