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3 years ago

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Mathematics

1 answer:

larisa86 [58]3 years ago

6 0

Answer:

6 square feet

Step-by-step explanation:

Carpet has w= 8 ft and l = 12 ft

Reduced carpet has w' = 2 ft

Reduction factor is

8/2 = 4

Then

l' = l/4 = 12/4 = 3 ft

Area of small carpet

S = 2*3 = 6 ft²

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5^x+2 + 6^x+1 Solve for x

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5^x+6^x+3
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Simplify the square root of 216v

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How many 8 1/4 inch pieces of yarn can be cut from a roll that has 96 inches of yarn

Arada [10]

Answer:

Approximately 12 pieces of yarn can be cut from the 96 inches roll of yarn

Step-by-step explanation:

Total length of the yarn = 96 inches

Length of each piece = 8 1/4 inches

Now, solving the mixed fraction $8\frac{1}{4}$ , we get

length of each piece = $8\frac{1}{4}$ = $\frac{(8)(4) + 1}{4}= \frac{33}{4}$ inches

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3 years ago

How are differences between the sample mean and the population mean explained when the result isn't statistically significant?

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Answer and explanation:

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What is the equation of the line passing through the points (-2, 2) and (3,-1)?

Archy [21]

Answer:

Step-by-step explanation:

+ Because of " the line passing through the points (-2, 2) and (3,-1)", that means this line has its equation y = ax + b where

$a=\frac{2-(-1)}{-2-3} =\frac{2+1}{-5} =-\frac{3}{5}$

So we write its equation: y = -3/5 x + b.

+ Then, now, we replace x = -2 and y = 2 into y = -3/5 x + b for finding b like:

2 = -3/5 * (-2) + b or 2 = 6/5 + b

so b = 2 - 6/5 = 4/5.

And this line has its equation: y = -3/5 x + 4/5.

Mẹthod 2:

we have a formule for a line that passes 2 points $(x_{0},y_{0}) , (x_{1},y_{1}) ,x_{0}\neq x_{1}$

Here is: $\frac{x-x_{0} }{x_{1}-x_{0} } = \frac{y-y_{0} }{y_{1}-y_{0} }$

Then, we can write for this case:

$\frac{x-(-2)}{3-(-2)} =\frac{y-2}{-1-2} \\\frac{x+2}{5} =\frac{y-2}{-3} \\-3(x+2) = 5( y-2)\\-3x-6=5y-10\\3x+5y-4=0\\or\\y=-\frac{3}{5}x+\frac{4}{3}$

P.S: You type wrongly the signs?

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