blocks are sold in boxes, in bags,or as single blocks.each box has 10 bags in it.each bags has 10 blocks in it tara needs 216 bl
ocks.draw a picture to show a way to buy 216 blocks
2 answers:
Answer: 2 boxes,1 bag and 6 blocks
Step-by-step explanation:
Number of bags contained in each box =10
Number of blocks contained in each bag =10
Thus, Number of blocks contained in each box =10×10=100
Tara needs 216 blocks=200+10+6 [write in expanded form]
Here, number of boxes=2 [hundreds place ]
number of bags=1 [ten place]
number of blocks=6 [ones place]
∴ Tara needs 2 boxes,1 bag and 6 blocks to make 216 blocks.
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ŷ= 1.795x +2.195 is the equation for the line of best fit for the data
<h3>How to use regression to find the equation for the line of best fit?</h3>Consider the table in the image attached:
∑x = 29, ∑y = 74, ∑x²= 125, ∑xy = 288, n = 10 (number data points)
The linear regression equation is of the form:
ŷ = ax + b
where a and b are the slope and y-intercept respectively
a = ( n∑xy -(∑x)(∑y) ) / ( n∑x² - (∑x)² )
a = (10×288 - 29×74) / ( 10×125-29² )
= 2880-2146 / 1250-841
= 734/409
= 1.795
x' = ∑x/n
x' = 29/10 = 2.9
y' = ∑y/n
y' = 74/10 = 7.4
b = y' - ax'
b = 7.4 - 1.795×2.9
= 7.4 - 5.2055
= 2.195
ŷ = ax + b
ŷ= 1.795x +2.195
Therefore, the equation for the line of best fit for the data is ŷ= 1.795x +2.195
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Let 
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be the width. In the problem it is given that 
. It is also given that the area 
. Substituting in the length in terms of width, we have 
. Using the zero product property, 
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. However, it doesn't make sense for the width to be negative, so the width must be 
. From that we can tell the length 
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