Why is it easier to add fractions when the denominators are the same?​

Given:

The regression equation is:

[tex]y=-25x+436[/tex]

The given point is (17,3.8).

To find:

The residual for the given point.

Solution:

We have,

[tex]y=-25x+436[/tex]

Substituting [tex]x=17[/tex], we get

[tex]y=-25(17)+436[/tex]

[tex]y=-425+436[/tex]

[tex]y=11[/tex]

The predicted value at [tex]x=17[/tex] is 11.

The given point is (17,3.8). It means the observed value at [tex]x=17[/tex] is 3.8.

Formula for residual:

Residual = Observed value - Predicted value

Residual = [tex]3.8-11[/tex]

Residual = [tex]-7.2[/tex]

Therefore, the residual for the given point is -7.2.

Answer:

7x - 16y = -224

Step-by-step explanation:

Standard Form:

Ax + By = C

y= 7/16x+14

-7/16x + y = 14  

(Multiply everything by 16)

-7x + 16y = 224

(Multiply everything by -1)

7x - 16y = -224

Answer:

No its not a proportion, the numerators can't be divided evenly

Step-by-step explanation:

Answer: 1/2 times 6x equals 3x  and then you do 1/2 times 4 and that equals 2 then multiply the 3 and 4 in the parenthesis and that is 12 then add 12 to the 3 and 2 and your answer is 17.

Step-by-step explanation:

Answer:

14 tons

$3,860.50

Step-by-step explanation:

Let x = the amount of sugar transported.

First company:

The cost is $3157 truck rental plus $50.25 per ton of sugar.

Total cost = 3157 + 50.25x dollars

Second company:

There is no charge for truck rental, but it costs $275.75 per ton of sugar.

The total cost is

275.75x

When the two costs are the same, then

275.75x = 3157 +50.25x

225.5x = 3157

x = 14 tons

The total cost is 275.75*14 = $3,860.50

Answer:

b >= -3

The symbol > = represents "greater than OR equal to".

Answer:

A “Towel”

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{4 centigrams = [blank] milligrams}[/tex]

[tex]\mathsf{4 \times \dfrac{10}{1}}[/tex]

[tex]\mathsf{= \dfrac{4}{1}\times\dfrac{10}{1}}[/tex]

[tex]\mathsf{=\dfrac{4\times10}{1\times1}}[/tex]

[tex]\mathsf{4\times10=\bf 40}\leftarrow\large\textsf{NUMERATOR}[/tex]

[tex]\mathsf{1\times1 = \bf 1}\leftarrow\large\textsf{DENOMINATOR}[/tex]

[tex]\mathsf{= \dfrac{40}{1}}[/tex]

[tex]\mathsf{\dfrac{40}{1}=40\div1=\bf 40}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: 4 centigrams = \huge\bf{40 milligrams}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

[tex]\frak{Amphitrite1040:)}[/tex]

Answer: A = $4,439.28

Rounded would be $4,439.3

Step-by-step explanation:

Answer:

[tex]16\sqrt{17}[/tex]

Step-by-step explanation:

The perimeter is two times width plus two times length:

[tex]2\sqrt{17} + 2\cdot 7\sqrt{17} = 2\sqrt{17} + 14\sqrt{17} = 16\sqrt{17}[/tex]

There is no way to simplify further.

Answer:

y=40x-30

Step-by-step explanation:

Answer:

1. We want to write an equation in the form:

Ix - bI ≤ c

Such that the solutions are the range  −1 ≤ x ≤ 3

First, the extremes of the range are: - 1 and 3

Half of the difference between these values is:

m = (3 - (-1))/2 = (3 + 1)/2 = 4/2 = 2

Now let's go to the lower extreme, and add this value, we get:

-1 + m = -1 + 2 = 1

(if we go to the upper value and we subtract m, we get the same)

This is the mid-value of the solution interval, and we will define it as M

We now can write the absolute value inequality as:

I x - MI ≤ m

In our case, we get:

Ix - 1I ≤ 2

2.

Now we want to have the solution set given by:

x ≤ -9

x ≥ -5

In this case, we will have an equation of the form:

Ix - MI ≥ m

(before we used the symbol ≤, which means that the solutions are inside the interval, now we use the symbol ≥, which means that the solutions are outside of the interval (-9, -5) in this case).

So let's do the same than in the above case:

m = (-5) - (-9) = (-5 + 9)/2 = 4/2 = 2

M = -9 + 2 = -7

Replacing these in the absolute value inequality we got:

Ix - (-7)I ≥ 2

Ix + 7I ≥ 2

Answer:100000000

Step-by-step explanation:

Answer:

63°

Step-by-step explanation:

First, by looking at the angle we see that the overall angle is a right angle. This means that the total will add up to 90°.

Knowing this we can then subtract

90° - 27° = 63°

Answer:

63

Step-by-step explanation:

The measure of a right angle is always 90 so

90-27=63

Answer:

75.51%

Step-by-step explanation:

hopefully this helps

x/100 = 74/98

98x = 7,400

x = 7,400/98

× = 75.51 % of 98

Answer:

3x(x-1) = 0

x= 1

Step-by-step explanation:

is 3x2 supposed to mean 3x^2 i dont know

Answer:

If figures are similar, corresponding sides have same ratio.

Side IJ x is corresponding with QR, and side HK with PS:

Ratio of corresponding sides:

Answer:

If you are round the answer, you would get 15.7 cm. If not, you would get around 16 cm.

Step-by-step explanation:

The diameter is 5 and π is 3.14. You multiply those two together to get 15.7 cm. If the teacher asks to round, you will get 16 cm.

Answer:

[tex]V=497.16\ cm^3[/tex]

Step-by-step explanation:

The attached figure shows a cone of radius 5 cm and height 19 cm. The formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Substitute all the values,

[tex]V=\dfrac{1}{3}\times 3.14\times 5^2\times 19\\\\V=497.16\ cm^3[/tex]

So, the volume of the cone is equal to [tex]497.16\ cm^3[/tex].

Answer: B. The procedure for constructing the confidence interval is robust. The larger the sample​ size, the more resistant the mean.​ Therefore, the confidence interval is more robust.

Step-by-step explanation:

Large sized data samples usually have more stability than data with small samples, they yield a mean value which edges closer to the value of the population data. This means that large size data samples will have a mean which is more resistant to change than samples with a lower sample size. The confidence interval gives robustness while constructing a model by giving te leverage for a range of values based in a certain level of confidence upon which a statistical vale can be tested for validity.

Answer:

-3/4

Step-by-step explanation:

The slope is -3/4

The line goes down three and four left.  

Answer:

pic

Step-by-step explanation:

Answer:

(4.5, 8) and (8, 4.5)

Step-by-step explanation:

Given the equations

(x+y)=12.5 ... 1

X ×Y=36 .... 2

From 2, Y = 36/X

Substitute into 1

x+ 36/x = 12.5

x^2 + 36 = 12.5x

x^2 - 12.5x + 36 = 0

10x^2 - 125x + 360 = 0

2x^2 - 25x + 72 = 0

Factorize

2x^2 - 16x - 9x + 72 = 0

2x(x-8)-9(x-8) = 0

2x-9 = 0 and x-8 = 0

x = 9/2 and x = 8

when x = 9/2

Y = 36/(9/2)

Y = 36 * 2/9

Y = 8

When x = 8

Y = 36/X

Y = 36/8

Y =  4.5

Hence the solutions are (4.5, 8) and (8, 4.5)

Answer:

14. 44.8 feet

cos48=30/x

x=30/cos48

x=44.8

15. 2352 feet

tan12=500/x

x=500/tan12

=500/0.2126

x=2352

Equation:

c = 20.00 - d

Solution:

c = 20.00 - 8.49

c = 11.51

Answer:

27

Step-by-step explanation:

2 is vertical to 1, making it 27 as well. then, 4 is corresponding to 4, making it 27

Answer:

27°

Step-by-step explanation:

angle 1 is vertically opposite to angle 2

angle 2 is correspondence to angle 4

vertically opposite and corresponding angles are equal

Answer:

Y=0.5X+5

Step-by-step explanation:

Hope this helps ;)

Answer:

C. fungi

Step-by-step explanation:

Here only Fungi is an example of decomposer.

Rabbits and lions are examples of consumers.

Trees are an example of producers.

The following list defines and provides examples of the feeding (trophic) levels that comprise food webs:

Producer: organism on the food chain that can produce its own energy and nutrients. Examples: grasses, Jackalberry tree, Acacia tree

Primary consumer/herbivore: organism that eats mainly plants. Examples: cows, impalas, warthogs, zebras

Secondary consumer/carnivore: organism that eats meat. Examples: leopard, lion

Omnivore: organism that eats a variety of organisms, including plants, animals, and fungi. Examples: humans, aardvarks

Decomposer/detritivores: organisms that break down dead plant and animal material and waste and release it as energy and nutrients in the ecosystem. Examples: bacteria, fungi, termites

Scavenger: animal that eats dead or rotting animal flesh. Examples: vultures, hyenas

Insectivore: organism that mostly eats insects. Example: Red-billed oxpecker

Answer:

C. Fungi

B. Lions

Step-by-step explanation:

C. fungi are called decomposers because they break down the dead and decaying organic matter into simpler substances such as carbon dioxide, water, simple sugars, and mineral salts and provide the nutrients back to the soil

B. A decomposer is a living thing that gets energy by breaking down dead plants and animals, lions eat other animals to get energy.