Twice the sum of two numbers is 24. if one number is 2 times larger than the other, what is the smaller of the two numbers?
1 answer:
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Answer: 95% confidence interval = 20,000 ± 2.12
( 19228.736 , 20771.263 ) OR ( 19229 , 20771 )
Step-by-step explanation:
Given :
Sample size(n) = 17
Sample mean = 20000
Sample standard deviation = 1,500
5% confidence
∴ = 0.025
Degree of freedom () = n-1 = 16
∵ Critical value at ( 0.025 , 16 ) = 2.12
∴ 95% confidence interval = mean ±
Critical value at 95% confidence interval = 20,000 ± 2.12
( 19228.736 , 20771.263 ) OR ( 19229 , 20771 )
Answer:
The equation to determine the length is .
The Length of the exercise mat is 16 feet.
Step-by-step explanation:
Given:
Perimeter of Rectangular mat =
Let the length of the mat be denoted by 'l'
And width be denoted by 'w'.
Also Given:
The length of the mat is twice the width of the mat.
So we can say that;
⇒ equation 1
Now we know that;
Perimeter of Rectangle is equal to twice the sum of length and width.
framing in equation form we get;
⇒ equation 2
Now Substituting equation 1 in equation 2 we get;
Applying Distributive property we get;
Hence, The equation to determine the length is .
On Solving the above equation we get;
Dividing both side by 6 we get;
Now Substituting the value of 'w' in equation 1 we get;
Hence The Length of the exercise mat is 16 feet.