Please answer this I really need help

A line of best fit predicts that when x equals 28 y will equal 27.255 but y actually equals 26 what is the residual in this case

Kobotan [32]

Answer:

The answer is -1.255 for residual value.

Step-by-step explanation:

We are tasked to solve for the residual value given that when x equals 29, y will be equals to 27.255. But, when it is tested, y actual value is 26. The formula in solving residual is shown below:

Residual value = Observed value - predicted value

Residual value = 26 - 27.255

Residual values = -1.255

4 0

3 years ago

Let f(x) = x^2 – 81. Find f–1(x). Can someone double-check what I have?

Trava [24]

I hope this helps you

y=x^2-81

x^2=y+81

x=square root of y+81

f^-1 (x)= square root of x+81

5 0

3 years ago

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A student solves the following equation and

Phoenix [80]

Answer:

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

Step-by-step explanation:

Considering the expression

$\frac{3}{a+2}-6\cdot \frac{a}{-4+a^2}=\frac{1}{a-2}$

$\frac{3}{a+2}-\frac{6a}{-4+a^2}=\frac{1}{a-2}$

$\mathrm{Find\:Least\:Common\:Multiplier\:of\:}a+2,\:-4+a^2,\:a-2:\quad \left(a+2\right)\left(a-2\right)$

$\mathrm{Multiply\:by\:LCM=}\left(a+2\right)\left(a-2\right)$

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right)-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right)=\frac{1}{a-2}\left(a+2\right)\left(a-2\right)$

as

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right):\quad 3\left(a-2\right)$

$-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right):\quad -6a$

$\frac{1}{a-2}\left(a+2\right)\left(a-2\right):\quad a+2$

so equation becomes

$3\left(a-2\right)-6a=a+2$

$-3a-6=a+2$

$-3a-6+6=a+2+6$

$-4a=8$

$\mathrm{Divide\:both\:sides\:by\:}-4$

$\frac{-4a}{-4}=\frac{8}{-4}$

$a=-2$

$\mathrm{Verify\:Solutions}$

$\mathrm{Take\:the\:denominator\left(s\right)\:of\:}\frac{3}{a+2}-6\frac{a}{-4+a^2}-\frac{1}{a-2}\mathrm{\:and\:compare\:to\:zero}$

$\mathrm{Solve\:}\:a+2=0:\quad a=-2$

$\mathrm{Solve\:}\:-4+a^2=0:\quad a=2,\:a=-2$

$\mathrm{Solve\:}\:a-2=0:\quad a=2$

So the following points are undefined

$a=-2,\:a=2$

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

4 0

3 years ago

Yolanda makes wooden boxes for a crafts fair, She makes 100 boxes like the one shown, and she wants to paint all the outside fac

Gemiola [76]

A box has 4 sides, two short sides which are width by height and two long sides which is length by height.

A) Surface area = 2(LxH) + 2(WxH)

Surface area = 2(10x4) +2(6x4)

Surface area = 2(40) +2(24)

Surface area = 80 + 48

Surface area = 128 square inches for each box.

128 square inches x 100 boxes = 12,800 square inches.

B) 1 can covers 14,000 square inches which is greater then the total of the 100 boxes, so she will need to buy 1 can of paint.

6 0

3 years ago

A sumo wrestling ring is circular and has a circumference of 4 . 6 π meters 4.6π meters. What is the area A A of the sumo wrestl

LUCKY_DIMON [66]

Answer:

$A=5.29\pi$

Step-by-step explanation:

Formula for circumference of a circle is:

Circumference = $2\pi r$

Given circumference of the ring is $4.6\pi$

Now solving for the radius gives us:

$2\pi r=4.6\pi\\r=\frac{4.6\pi}{2\pi}\\r=\frac{4.6}{2}=2.3$

We know that area of a circle is $\pi r^2$ , substituting the value of r we found, we get the area as:

area (A) = $\pi r^2\\\pi (2.3)^2\\\pi (5.29)\\=5.29\pi$

Hence the Area (A), in terms of $\pi$ is $5.29\pi$

5 0

3 years ago

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