The estimate of the total sales is $3,055,510.08.
First I created a scatter plot of the data given for yellow golf balls and calculated the linear regression for it. Screenshots are attached.
The regression equation (equation for the line of best fit) was
y = 16488x + 189312, where x represents the year number and y is the total yellow golf balls.
We are concerned with year 4, so we will substitute 4 for x:
y = 16488(4) + 189312 = 255,264
There will be around 255,264 yellow golf balls sold in year 4.
Since the ratio of yellow to white golf balls is 1:5, we can set up a proportion:
1/5 = 255264/x
Cross multiply:
1*x = 5*255264
x = 1,276,320
We expect the company to sell 1,276,320 white golf balls. This makes a total of:
1,276,320 + 255,264 = 1,531,584 total golf balls expected to be sold in year 4.
Since these are sold in boxes of 12, we divide this by 12:
1,531,584/12 = 127,632 boxes expected to be sold
Each box is 23.94:
127632*23.94 = 3,055,510.08
Answer:1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000x109308267503039847568549320298347567584930222222222394856785493292837458949487567854847657854756578745678384575784475784374575894338457685984576859857698576869857=1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000x109308267503039847568549320298347567584930222222222394856785493292837458949487567854847657854756578745678384575784475784374575894338457685984576859857698576869857=
Step-by-step explanation:
Based on the information provided, the equation of this new circle is equal to: B. (x - h)² + (y - k)² = r²
<h3>The equation of a circle.</h3>
Mathematically, the equation of a circle can be derived by using Pythagorean theorem;
x² + y² = r²
<u>Where:</u>
- h and k represents the coordinates at the center.
- r is the radius of a circle.
After translating h units along the x-axis and k units along y-axis on a coordinate plane, the equation of this new circle is given by:
(x - h)² + (y - k)² = r²
Read more on circle here: brainly.com/question/14078280
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The small triangle is 1/2 the size of the larger one ( comparing like sides 5 is 1/2 of 10).
This means AC is 1/2LN.
So you have:
x +5 = 1/2(3x +3)
Simplify:
x+5 = 1.5x +1.5
Subtract 1.5x from each side:
-.5x +5 = 1.5
Subtract 5 from each side:
-.5x = -3.5
Divide both sides by -.5:
x = -3.5 / -.5
x = 7
Now you have x.
AC = x +5 = 7+5 = 12
The answer is G.
