Answer:
The correct option is (B) 250.
Step-by-step explanation:
A plant can manufacture 100 golf clubs per day for a total daily cost of $7,800.
And 120 golf clubs per day for a total daily cost of $8,400.
Let <em>X</em> = number of golf clubs manufactured per day.
Let <em>Y</em> = total cost of manufacturing golf clubs per day
It is provided that:
(<em>x</em>₁, <em>y</em>₁) = (100, 7800)
(<em>x</em>₂, <em>y</em>₂) = (120, 8400)
Form the least square regression line using two-point form as follows:


The least square regression line to estimate the total daily cost of <em>x</em> golf clubs manufactured daily is:
<em>y</em> = 30 <em>x</em> + 4800
Compute the number of golf clubs manufactured if the total daily cost is $12,300 as follows:

Thus, the correct option is (B).
Hello,
6b) (i) As you can see, in the first year the price drops from 27,000 to 17,000. (Look at year 0-1 on the x axis). To find the percentage drop, find the difference between the two values and divide it over the initial value of 27,000.
So, the percentage drop in the first year is:
(27000-17000) / (27000) = 0.37, or a 37% drop
The answer is 37%.
(ii) For this question, we basically have the same process as the previous question except for the second year.
From year 1 to year 2, the value starts at 17,000 and ends at 15,000.
To find the percentage drop, we do:
(17000 - 15000) / (17000) = 0.118 ≈ 0.12, or a 12% drop
The answer is 12%.
6c) To find the percentage depreciation over the first 5 years, we look at the initial value (x = 0) and the value after 5 years (x = 5), and use these values in the same percentage formula we have been using.
The initial value of the car is 27,000, and after 5 years the value is 8,000.
This is a percentage drop of (27000 - 8000) / (27000) = 0.70, or a 70% drop.
The answer is 70%.
Hope this helps!
Answer:
D
Step-by-step explanation:
Since the constructed line is a perpendicular bisector of the line AB, then
AC = BC ← substitute values
4x + 12 = 2x + 18 ( subtract 2x from both sides )
2x + 12 = 18 ( subtract 12 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Hence
AB = 2AC = 2(4x + 12) ← substitute x = 3
AB = 2(12 + 12) = 2 × 24 = 48 → D
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