Answer:
A) 2 cm
Step-by-step explanation:
The sum of two sides of a triangle must be greater than the third side
2 + 3 is not greater than 5
Jan's age =
years
Sister's age =
Step-by-step explanation:
Jan's age = x years
Sister's age = 2x years
Brother's age = 3x years
According to the given condition:
x + 2x + 3x = 29
6x = 29
x = 29/6
x =
years
2x = 
Therefore,
Jan's age =
years
Sister's age =
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Answer:
The confidence level of the study is 99.9%
The confidence level is 99.9% of the margin error is 8%
Step-by-step explanation:
<u>Explanation</u>:-
Candy has observed 250 sports cars
The sample size 'n' = 250
Sample proportion 'p' = 15% = 0.15
The margin of error = 8% = 0.08
<em>The margin of error is determined by </em><em> = </em>
<em />
<em> </em>
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<u>Conclusion</u>:-
The z- score of 99.9% level of significance = 3.54 for two tailed test
<em>Hence the confidence level is 99.9% of the margin error is 8%.</em>
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Answer: See bolded below
Step-by-step explanation:
With the given f(x) and g(x) given, we can directly plug them in to solve. The inverse is to replace the y with x and x with y, then solve for y.
A. f(g(-4))=143
g(-4)=3(-4)+1
g(-4)=-12+1
g(-4)=-11
With g(-4), we plug that into f(x) to find f(g(-4)).
f(-11)=(-11)²-2(-11)
f(-11)=121+22
f(-11)=143
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B. 9x²-1
(3x+1)²-2(3x+1)
(9x²+6x+1)-6x-2
9x²-1
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C. g⁻¹(x)=(x-1)/3
x=3y+1
x-1=3y
(x-1)/3=y