An equation was created for the line of best fit from actual enrollment data. It was used to predict the dance studio enrollment values shown in the table below:

Enrollment
Month
January
February
March
April
May
June
Actual
500
400
550
550
750
400
Predicted
410
450
650
650
600
450
Residual
90
−50
−100
−100
150
−50

Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit. (1 point)

Select one:
a. No, the equation is not a good fit because the sum of the residuals is a large number.
b. No, the equation is not a good fit because the residuals are all far from zero.
c. Yes, the equation is a good fit because the residuals are not all far from zero.
d. Yes, the equation is a good fit because the sum of the residuals is a small number.

Answer: 8 + StartRoot 10 EndRoot units (Option D, in other words, the last one)

Step-by-step explanation: I'm right bros

Answer:

15

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order to find that, we simply do:

(100+25)% = 125%

100% = 12 ounces

125% = ?

12*125/100 = 9 ounces

Add it up to the original amount:

12+9 = 21 ounces

Answer:

-4

Step-by-step explanation:

-12 + 8

-4

Answer:

B. 12.25

Step-by-step explanation:

A=bxh=3.5·3.5=12.25

Answer:

17.15

Step-by-step explanation:

There are 2 ways to solve this.

One way is this:

Add 1.4 and 3.5 together to get the total length of the parallelogram. The sum would be 4.9. Then multiply this number by the height of the figure(3.5cm). So that the product of 4.9 and 3.5 is 17.15.

The second way is this:

Find the area of the two triangles and the square and then add those products together. So add:

So solve this equation and you will get:

Answer:

151>7 is correct

Step-by-step explanation:

Answer:

Place Value of 5 in 1325 is 'Thousands'

Answer:

35x48=1680

Step-by-step explanation:

1680

Answer:

the area is 4 square

Step-by-step explanation:

beacuse of the  shape

Answer:

x = 42/17

y = -12/17

Step-by-step explanation:

4x - 3y = 12

3x + 2y = 6

use the elimination method (definition at the bottom of the page)

multiply both sides of the equation 4x - 3y = 12 by 2

8x - 6y = 24

multiply both sides of the equation 3x + 2y = 6 by 3

9x + 6y = 18

now, add the two equations:

17x = 42

x = 42/17

now, plug this into the equation 3x + 2y = 6

126/17 + 2y = 6

2y = -24/17

y = -12/17

Answer:

Step-by-step explanation:

at the bottom it has a key and the key shows blue that had the urea supplement and green with out.  the graph has a higher amount of growth for the plants with the urea supplement and green with about half the growth.

so you could say something like this: over the course of three months the plants with the urea supplement had almost double the amount of growth the plants without the urea supplement did, over all the the urea increased the amount of growth the plants had over the 3 month time span. :)

The conclusion from the farmer's data can be made is the fertilizer with urea supplement  is more effective than the fertilizer without it.

A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle similar to bar graph.

Farmers' group conducted an experiment to determine which fertilizer is better for plant growth. One fertilizer contains a urea supplement, while the other does not contain the urea supplement.

For the experiment, they randomly selected 20 plants of the same species growing in their area. The farmers tested the urea-enhanced fertilizer on 10 plants and the non-urea fertilizer on the other 10 plants.

After three months, they reported their findings as shown.​ Let's understand what happen in each month,

Thus, the conclusion from the farmer's data can be made is the fertilizer with urea supplement  is more effective than the fertilizer without it.

Learn more about the histogram here;

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Answer:

The degree of the equation is 5.

Step-by-step explanation:

At first we have a 4 polinomyal expressions. Something happens here that in the third step we only have 2 polynomial expressions.

What is occuring? In this case, we just grab two polynomial and try to reduce the expression to a simple expression (And larger) so, we take the first two polynomial expressions:

(2x + 3) * (x² - 1)

In this case, the first term will multiply the first and second term of the second polynomial expression, and after that, the second term of the first polynomial do the same thing with the other two terms:

(2x * x²) + (2x * -1) + (3 * x²) + (3 * -1)

= 2x³ - 2x + 3x² - 3

Now, we apply the same thing with the other two expressions:

(x + 1) * (x - 2)

= (x * x) + (x * -2) + (1 * x) + (1 * -2)

= x² - 2x + x -2

= x² - x - 2

For the last step, we do the same thing, only that in this case is larger cause we have a bigger expression, but the principle is the same. To get a better understanding I will put every operation by line so you won't get confused:

(2x³ - 2x + 3x² - 3) * (x² - x - 2)

= (2x³ * x²) + (2x³ * -x) + (2x³ * -2)

+ (-2x * x²) + (-2x * -x) + (-2x * -2)

+ (3x² * x²) + (3x² * -x) + (3x² * -2)

+ (-3 * x²) + (-3 * -x) + (-3 * -2)

= (2x⁵ - 2x⁴ - 4x³)  

+ (-2x³ + 2x² + 4x)

+ (-3x⁴ - 3x³ - 6x²)

+ (-3x² + 3x + 6)

Simplifying:

The term with the highest exponent will determine the degree of the equation. So the equation is 5th degree.

Hope this helps

Answer:

x = 9

y = 12

Step-by-step explanation:

-5x + 4y = 3

x = 2y - 15

Manipulate the equations such that the coefficients of two variables are additive inverses

-5x + 4y = 3

x = 2y - 15

Inverse operations

-> 4y - 3 = 5x

-> 2y - 15 = x (*(-5))

->4y - 3 = 5x

-> -10y + 75 = -5x

Now add the equations to eliminate a variable,

4y - 3 = 5x

-10y + 75 = -5x

-6y + 72 = 0

Inverse operations

-6y + 72 = 0

72 = 6y

/6       /6

12 = y

Back solve to find (x)

2y - 15 = x

2(12) - 15 = x

24 - 15 = x

9 = x

Answer:

80 ft

Step-by-step explanation:

i dont really know if this is the right answer plz tell me if im wrong

Answer:

The midpoint of the segment is (-0.5,0.5).

Step-by-step explanation:

Midpoint of a segment:

The midpoint of a segment is given by the mean of its coordinates.

Segment with end points (4,2),(-5,-1)​

x-coordinates: 4 and -5

y-coordinates: 2 and -1

x-coordinate of the midpoint:

[tex]x = \frac{4-5}{2} = -\frac{1}{2} = -0.5[/tex]

y-coordinate of the midpoint:

[tex]y = \frac{2-1}{2} = \frac{1}{2} = 0.5[/tex]

The midpoint of the segment is (-0.5,0.5).

Answer:

x= -1 , i(sqrt11) , -i(sqrt11)

Step-by-step explanation:

subtract 11x from both sides

-x^3 - x^2 - 11x = 11

subtract 11 from both sides

-x^3 - x^2 - 11x - 11 = 0

Factor the left side of the equation

- (x - 1)(x^2 + 11) = 0

Set both factors to zero and solve for x

x + 1 = 0 x^2 + 11 = 0

-1 -11

x^2 = -11

x = -1 x = +/- i(sqrt11)

Answer:

D

Step-by-step explanation:

Because, the biologist wants to find the difference between the population of trouts from two watershed,

A biologist wants to compare the proportions of rainbow trout infected with whirling disease (an illness of trout and salmon caused by a microscopic parasite) coming from two separate watersheds.

The biologist will collect a random sample of trout and record the proportion infected in the sample The biologist intends to estimate the difference for all trout in the two watersheds

According to the given question, the most appropriate method for the biologist will be -A two-sample z-interval for a difference in population proportions

Because,Biologist wants to compare the proportions of rainbow trout infected with whirling disease and find the difference between the population of the trouts from two watershed .

Therefore , Statement D is the Correct

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Answer:

x=8

y=1/6x+4/6

y= 2

Step-by-step explanation:

Step-by-step explanation:

to find the area of a parallelogram multiply the base by the height. multiply so 8x4= 32. but thats not it, ill come back when i get it or ask a tutor

Answer:

A=bh

Step-by-step explanation:

Answer:

1/5 + 1/5 + 1/5 + 1/5 = 4/5

Step-by-step explanation:

The 4 copies of the fraction 1/5 will be 4/5.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

As per the given,

4 copies of 1/5

The first copy of /5 = 1/5

Second one = 1/5

Third = 1/5

And fourth = 1/5

Collective all copies are 1/5 + 1/5 + 1/5 + 1/5

Take LCM as 5,

(1 + 1 + 1 + 1)/5 = 4/5

Hence "The 4 copies of the fraction 1/5 will be 4/5".

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if 2 quarts=1/2 galleon on the graph.

Then half of 2 quarts will be half of 1/2 galleons.

Therefore 1 quart=1/4 galleons.

Hope it helps!

Answer:

49

Step-by-step explanation:

i see the other answer is absolutely useless

Marble:Stone

6          :   7

    42   :   49

therefore there are 49 stones

Answer:

49

Step-by-step explanation:

42 ÷ 6 is 6

7 x 7 is 49

so its 49

Answer:

2x+3

Step-by-step explanation:

[tex](6x+6)+(-3-4x)=2x+3[/tex]

Answer:

36°

Step-by-step explanation:

let x be the required angle then

x = [tex]\frac{2}{3}[/tex] ( 90 - x)  [ complementary angles sum to 90° ]

x = 60 - [tex]\frac{2}{3}[/tex] x ( add [tex]\frac{2}{3}[/tex] x to both sides )

[tex]\frac{5}{3}[/tex] x = 60 ( multiply both sides by [tex]\frac{3}{5}[/tex] )

x = 36°

note 36° is [tex]\frac{2}{3}[/tex] of 54°

Answer:

x  =  − 7

Step-by-step explanation:

y = 4.5*x^2-9*x+8.5;4.5;-9;8.5

-(((-9)^2-(4*4.5*8.5))/(4*4.5))

-(-9/(2*4.5))

4.5*0^2-(0*9)+8.5

(7*x^5-(5*x^7))^(1/2)+1/((7*x^5-(5*x^7))^(1/2))

Answer:

okay, so given we have that she has already sold $35 worth of tickets. We know that she has seven tickets left to sell, and each is worth $5. So, we would do 7×$5=$35

Next, we would add $35(from the previous money she has made) and $35 (the money she just made from the 7 tickets) and that would equal $70

equation: y=35+7(5)

Step-by-step explanation:

I hope this helps! ^^

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Answer: He travelled 392 km that day.

Step-by-step explanation:

We are given that,

Speed of electric car = 56 km per hour.

Time = 7 hours

We know that,

Distance = Speed x Time

If he travelled 7 hours on that day, then Distance traveled in 7 hours on that day= (56 km per hour)  x (7 hours)

i.e. Distance traveled in 7 hours on that day== 392 km

Hence, he travelled 392 km that day.