Answer:
(a) Step 2. 9x -12 = 13 +2x
Step-by-step explanation:
The distributive property says a factor outside parentheses multiplies each term inside parentheses. It is an error to do addition of the factor, or to miss multiplying a term.
In Step 2 of this "solution", the factor of 3 is erroneously <em>added</em> to each coefficent inside parentheses. It should be <em>multiplied</em>.
Correct Step 2: 9x -12 = 13 +2x
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The rest of the solution should be ...
Step 3: 9x -2x = 13 +12
Step 4: 7x = 25
Step 5: x = 25/7
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<em>Check</em>
3(3(25/7) -4) = 8 + 2(25/7) +5
3((75 -28)/7) = 13 +50/7
141/7 = 141/7 . . . . . answer checks OK
the answer would be q=36,-6
Let L be the length of the box that the company aims to manufacture. With this representation, the width of the box is equal to L - 2 and the height is equal to L + 5. The volume of the box is equal to the product of the length, width, and height. That is,
A = L x (L - 2) x (L + 5) = 24
The value of L from the equation is 3 inches.
The dimension of the box are as follow:
length = L = 3 inches
width = L - 2 = 1 inch
height = L + 5 = 8 inches
Answer:
Step-by-step explanation:
Use FOIL: <em>(a + b)(c + d) = ac + ad + bc + bd</em>
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Answer: (29.35, 40.95)
Step-by-step explanation:
Formula to find the confidence interval for population mean :-
, where 
= sample mean.
z*= critical z-value
n= sample size.
= Population standard deviation.
As per given , we have
n= 37
Using z-table, the critical z-value for 95% confidence = z* = 1.96
Then, the confidence interval for the population mean will be :
Hence, a 95% confidence interval for the population mean = (29.35, 40.95)
