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When we say that a simple linear regression model is statistically useful, it means that the model effectively describes the relationship between two variables, using terms like: Independent variable (X), Dependent variable (Y), Linear relationship, Coefficient of determination\((R^2)\), Significance level (α).

Independent variable (X):

The variable that influences or predicts the dependent variable.

Dependent variable (Y):

The variable that is influenced or predicted by the independent variable.
Linear relationship:

A straight-line relationship between the independent and dependent variables, represented by the equation

Y = a + bX.
Coefficient of determination\((R^2)\):

A measure of how well the regression line fits the data, ranging from 0 to 1

higher\(R^2\) indicates a better fit.
Significance level (α):

The threshold below which we reject the null hypothesis (i.e., no relationship between X and Y).

Typically, α is set at 0.05 or 0.01.
In summary, a simple linear regression model is statistically useful if it accurately represents the linear relationship between an independent and dependent variable, with a high\(R^2\)value and a significance level below the chosen threshold.

This allows us to make informed predictions and draw conclusions about the relationship between the two variables.

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Answer:

y = 350x + 225

It will cost $4425 for 12 credits

Step-by-step explanation:

From the two points shown in the graph, we can write the equation of the line.

(5, 1975), (8, 3025)

slope = m = (y_2 - y_1)/(x_2 - x_1) = (3025 - 1975)/(8 - 5) = 1050/3 = 350

y = mx + b

y = 350x + b

1975 = 350 × 5 + b

b = 225

The equation is

y = 350x + 225

For 12 credits, x = 12.

y = 350 × 12 + 225

y = 4425

Answer: It will cost $4425 for 12 credits

The maximal number of intersection points outside the circle that can be created by connecting the 7 dots on the circle with lines is 21.

To calculate this, we use the formula for the maximum number of intersection points formed by connecting n points with lines:

Max intersection points = n * (n - 1) / 2

In this case, n = 7, as there are 7 dots on the circle. Plugging in this value into the formula:

Max intersection points = 7 * (7 - 1) / 2

Max intersection points = 7 * 6 / 2

Max intersection points = 42 / 2

Max intersection points = 21

Therefore, the maximal number of intersection points outside the circle formed by connecting the 7 dots on the circle with lines is 21.

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Pattern Recognition is defined as the pattern is a number, shape, or something repeated in a particular way. Analysis of patterns should consider on different basis. The correct option is option (d).

The main basis of Pattern Recognition are the following:

1. Color change

2. Shape change

3. Rotation change

4. Size change

we have given three shapes pattern and we have to find out the perfect shape for forth place and the required shape follow the order like others.

After examine the pattern, we can see that the first figure is a filled triangle and the second figure is a hollow circle. This pattern is maintained alternately. The last figure(3rd place) is an open circle, so the next figure is a filled triangle.

So, the correct option is d.

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Answer:

Cheryl's posts + 7 posts =Kevin Posts

K-C=7 or C+7+K I use them because C is Cheryl and K is Kevin

Operation=subtraction or addition because it could be K-C=7 or C+7+K

Cheryl wrote K-7=C posts

Answer:

Cheryl writes 7 fewer posts than Kevin on a social media site.

Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.

1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. (2 points)

The expression will be P for "of posts Kevin writes." 

2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. (2 points)

 The operation I will use is subtraction so P-7.

3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. (3 points)

Subtraction would be the operation and my expression would be ( P-7 ) which would also be ( 21 - 7 )

Perpendicular

Find the slope for the points (5, 10) and (1, 6)

The slope is calculated below

For the points (2,-6) and (-1, -3)

Note that:

Since the product of the two slopes is -1, the lines through the pairs of points are perpendicular

Answer:

7 for each week

Step-by-step explanation:

7:1 = 7 dollars in 1 week

14:2

21:3

28:4

35:5

42:6

49:7

56:8

63:9

70:10

77:11

84:12

Answer:

How many weeks 23 34 85? if its 23 161 if its 34 238 and if its 85 595

Step-by-step explanation:

Step-by-step explanation:

3x + 4 + 2x +7

= 3x + 2x + 4 + 7

= 5x + 11

Answer:

The correct option is;

The player runs 4 meters forward, and then  runs 4 meters in the opposite direction

Step-by-step explanation:

From the question relates to the displacement of a body, compared to the distance covered by the body

In the question instance, the situation in which the player displacement will be  zero is one where both the players forward and backward displacement are equal such that they cancel each other

We have the instance where the forward and opposite displacement are  equal is given by the situation where the player runs 4 meters forward, and then  runs 4 meters in the opposite direction.

Answer:

d would be the answer if your so needy

Step-by-step explanation:

Answer:

2 I believe

Step-by-step explanation:

sorry if im wrong

Answer:

25

Step-by-step explanation:

5(n-8)=3n+10

5n-40=3n+10

5n=3n+50

2n=50

n=25

The likelihood that the random number generator will choose the number 68 from among the integers from 1 to 100 is 0.01 or 1%.

Given that,

Using a random number generator, a number between 1 and 100 is chosen (inclusively). What is the likelihood of choosing the number 68

One hundred options are available, and the probability of selecting the number 68 is one in one hundred.

1/100 equals 0.01 if "..using only an integer or decimal..." means the response cannot be a fraction.

Hence, The random number generator has a 0.01 or 1% chance of choosing the number 68 out of all the integers from 1 to 100.

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Answer:

1306.24 cm².

Step-by-step explanation:

From the diagram given above, we obtained the following information:

Radius (r) = 13 cm

Pi (π) = 3.14

Slant height (l) = 19 cm

Surface Area (SA) =.?

The surface area of the cone can be obtained as follow:

SA = πr² + πrl

SA = πr ( r + l)

SA = 3.14 × 13 ( 13 + 19)

SA = 40.82 (32)

SA= 1306.24 cm²

Therefore, the surface area of the cone is 1306.24 cm².

Answer:

Hello, my name is 1frogaroni feel free to ask any questions about algebra such as equations you don't understand. I will try my best to help you out with your question :)

Step-by-step explanation:

Oh and welcome to brainly where the community will be glad to help you!

Answer:

Step-by-step explanation:

Given :

x = -6

-7x + 6y = -18 ... i)

Putting the value of x in equation ...i)

=> -7 (-6) + 6y = -18

=> 42 + 6y = -18

=> 6y = -18 -42

=> 6y = - 60

=> y = -60/6

=> y = -10

The value of y = -10 and x = -6

Answer:

x= 4, y=6

Step-by-step explanation:

9x-9y = -18

9x=-18+9y

x=-2+y

-6(-2+y) + 9y = 6

-12-6y+9y=6

3y=18

y=6

9x -9(6)=-18

9x-54=-16

9x=36

x=4

X has a normal distribution, X that will give it a mean of zero and a variance , then the mean of Y = E(10+5X) = 1020

The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean. Variance tells you the degree of spread in your data set. The more spread the data, the larger the variance is in relation to the mean.

Given that,

E(x) = 30

Var(x) = 144

E(y) = ?

Var(y) = 144

Then,

E(10+5X)

To do this, we make use of the following equation

E(ax + by) = a E(x) + b E(y)

E(10+5X) = 10 E(x) + 5 E(y)

E(10+5X) = 10*30 + 5*144

E(10+5X) = 300 + 720

E(10+5X) = 1020

Therefore,

X has a normal distribution, X that will give it a mean of zero and a variance , then the mean of Y = E(10+5X) = 1020

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We have to put the triangular side as the base.

So, the height of the tent is signified by the red line, h.

Shown below:

The volume of the triangular prism is area of triangle x height

Let's find the area of the triangle, A_T:

The height is 10.

The volume is 280.

Substituting into the formula, let's sovle for "h". Shown below:

Answer:

Answer

The transformation is a dilation with a scale factor of 2.

Explanation

The vertices of the triangle are given as A (1, 3), B(4, 2), and C (3, 8).

Which transformation would produce an image with vertices

A' (2, 6), B'(8, 4), C'(6, 16)?

As we can see from the solution of the transformation, the new coordinates are double the given coordinates.

A rotation, 90º clockwise or anticlockwise interchanges the x and y coordinates somewhat.

A reflection does this interchanging too.

But a dilation with a scale factor changes the size of the figure by multiplying the coordinates of the vertices by the value of the scale factor.

Since the new coordinates are double of the old coordinates, we can see that this transformation is a dilation with a scale factor of 2.

Hope this Helps!!!

Answer:

2 = 1/2(-1) + 2

Step-by-step explanation:

You first substitute the letters for the numbers and then to find (b) or y intercept, you change x to 0 and solve for y. The y intercept is 2

So the equation would be 2 = 1/2(-1) + 2

There are 10 ways for Maria to distribute the fruits among her four friends if she doesn't give Jacky any oranges.

If Maria doesn't give any oranges to Jacky, she must give him all three apples. Then she is left with three oranges to distribute among the remaining three friends.

We can think of this as placing the oranges into three boxes (one for each friend), with the restriction that each box must contain at least one orange (since we cannot leave any oranges for Jacky).

This problem can be solved using the stars and bars method. We can think of the oranges as "stars" and the boxes as "bars" separating them. We need to place two bars to create three boxes. The number of ways to do this is:

(3 + 2) choose 2 = 5 choose 2 = 10

Therefore, there are 10 ways for Maria to distribute the fruits among her four friends if she doesn't give Jacky any oranges.

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Total distance of the triathlon race is 23.34 kilometers.

Reg enters a triathlon race. He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

The total distance of the race is 23.34 kilometers.

Reg enters a triathlon race.

He swims 1.25 kilometers, bikes 20.5 kilometers, and runs 1.59 kilometers.

In order to calculate the total distance of the race, we need to find the sum of the distance Reg swam, biked and ran. Therefore, Total distance = Distance swam + Distance biked + Distance ranTotal distance = 1.25 + 20.5 + 1.59 km

Total distance = 23.34 km.

The summary of this problem is that the total distance of the triathlon race is 23.34 kilometers.

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Answer:

20

Step-by-step explanation:

Answer:

The correct answer is that Alexi should be tipping $11.60

Step-by-step explanation:

The bill is $58

and you tip 20%

So, take the $58 and add 20% onto that:

The correct answer with the tip is $69.60

Therefore, you should tip $11.60 for the tip.

Answer:

300

Step-by-step explanation:

there are 9 15's in 120 which means its going by 15's 3 x 5= 15 and if it says 6 that means its timesed by 2. 15 x 2= 30 then 30 x 10= 300

Answer:

$0.60

Step-by-step explanation:

The missing points from the Column is:

Game Free-Throw Percentage:        60  20  60  80

Average Free-Throw Percentage:    70  60  55  56.67

Game       Game           Total              Game                              Average

               Result                               Free-Throw                       Free-Throw

                                                       Percentage                       Percentage

1                8/10              8/10                 80                                  80

2                 6/10            14/20               60                                  70          

3                1/5               15/25                20                                  60        

4                3/5              18/30                60                                  55        

5                8/10             26/40               80                                  56.67                                                          

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The question attached here seems to be incomplete, the complete question is

Fill in the columns with Dmitri's free-throw percentage for each game and his overall free-throw average after each game.

Game       Game Result         Total      Game Free-Throw Percentage    Average Free-Throw Percentage

1                        8/10                        8/10                   80                                                           80

2                        6/10                        14/20                    

3                        1/5                        15/25  

4                        3/5                        18/30  

5                        8/10                       26/40  

Answer: A & C

Step-by-step explanation:

Line : A line is a collection of infinite points in two opposite directions.

Segment : Segment is a part of line having two fixed endpoints.

From the picture attached,

AC is a segment having two fixed endpoints A and C.

And two arrows joining these points and moving in opposite directions are forming a line.

Therefore, two points that determine line AC are A and C.

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Answer:

y = 3x - 1

Step-by-step explanation:

In order to write this equation in slope intercept form, we first need to find the slope. I will take two points (2,5) and (1,2). We can find the slope either by counting the slope with \(\frac{rise}{run}\) or we can calculate it using the formula \(\frac{y2-y1}{x2-x1}\)

For the sake of simplicity, we will count it using \(\frac{rise}{run}\). Counting the slope between the two points, we get \(\frac{3}{1}\) which simplifies to 3.

The y intercept crosses between the point (0, -1), so our y intercept is -1.

Thus, our equation of the line will be \(y=3x-1\)

From the given information, total surplus in a market is equal to the sum of consumer surplus and producer surplus.

Consumer surplus is the difference between the highest price a consumer is willing to pay for a good or service (the "reservation price") and the actual price they pay. Producer surplus is the difference between the lowest price a producer is willing to accept for goods or services and the actual price they receive.

When a market is in equilibrium, the price and quantity are such that the quantity demanded equals the quantity supplied. At this point, total surplus is maximized, since all trades that benefit both consumers and producers have taken place. The total surplus represents the net benefit to society from the production and consumption of the good or service in the market.

In other words, total surplus is the sum of the gains from trade that accrue to consumers and producers in the market, and it represents the difference between the value that buyers and sellers place on the good or service and the resources that were actually used to produce it.

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