the sample regression line a. is estimated by the population regression line. b. maximizes the sum of the squared differences between the data points in a sample and the sample regression line. c. shows the actual (or true) relation between the dependent and independent variables. d. is used to estimate the population regression line. e. connects the data points in a sample.

Answer:   0.4176 cups of flour

Step-by-step explanation: First you'll need to convert both amounts to the same denominator, using their LCM, which is 24. 1/3 x 8 = 8/24, 7/8 x 3 = 21/24. Then calculate what you need to multiply 21/24 with to get 24/24, 21/24 = 0.875   1.000- 0.875 = 0.125. Finally, multiply 1/3 by 0.125 which is 0.416... / 0.4167, so you'll need 0.4167 cups of flour, or 4,167/10,000 of a cup os flour.

The two-column table to prove ∠ABC ≅ ∠DBE using the angle addition postulate is presented as follows;

Statements  [tex]{}[/tex]                                                  Reasons

1. ∠ABD is a right angle   [tex]{}[/tex]            1. Given

∠CBE is a right angle

2. ∠ABD are complementary  [tex]{}[/tex]    2. Definition of complementary angles

3. ∠CBE are complementary  [tex]{}[/tex]     3. Definition of complementary angles

4. ∠ABC ≅ ∠DBE   [tex]{}[/tex]                       4. Congruent complements theorem

The angle addition postulate states that the when two angles are placed side by side such that they share a common ray, the measure of the angle formed by the two angles is the sum of the measure of the individual angles.

∠ABD = ∠ABC + ∠CBD (angle addition postulate)

∠ABD = 90° (definition of right angle)

∠ABC + ∠CBD = 90° (substitution property of equality)

∠ABC and ∠CBD are complementary (definition of complementary)

Similarly

∠CBE = ∠CBD + ∠DBE (angle addition postulate)

∠CBE = 90° (definition of right angle)

∠CBD + ∠DBE = 90° (substitution property of equality)

∠CBD and ∠DBE are complementary (definition of complementary)

∠ABC is a complementary angle to ∠CBD and ∠DBE is a complementary angle to ∠CBD

Therefore;

∠ABC is congruent to ∠DBE (congruent complements theorem)

The congruent complement theorem states if an angle ∠A is a complement to an angle ∠C and if an angle ∠B is also a complement of angle ∠C then ∠A is congruent to ∠B.

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Answer:

y = [tex]\frac{1}{6}[/tex] x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m = [tex]\frac{10-9}{6-0}[/tex] = [tex]\frac{1}{6}[/tex]

the line crosses the y- axis at (0, 9 ) ⇒ c = 9

y = [tex]\frac{1}{6}[/tex] x + 9 ← equation of line

Every game of skee ball game requires 2 tokens and every game of pin ball game require 4 tokens.

Given that,

Cindy and Irma visited an arcade where the games accepted tokens. Irma used 58 tokens in total while playing 9 games of skee ball and 10 games of pinball. Cindy used up 26 tokens playing 5 games of skee ball and 4 games of pinball concurrently.

We have to find how many tokens are needed for each game. How many tokens are required for each skee ball game.

Let us take the skee balls as x and the pin ball as y.

We get,

9x+10y=58---> equation (1)

5x+4y=26---> equation (2)

Multiply equation (1) with 5 and equation (2) with 9.

5(9x+10y=58)⇒45x+50y=290

9(5x+4y=26)⇒45x+36y=234

                     ------------------------          (subtracting those equation)

                       0+14y=56

14y=56

y=56/14

y=4

Substitute y=4 in equation(2)

5x+4y=26

5x+4(4)=26

5x+16=26

5x=26-16

5x=10

x=10/5

x=2

Therefore, Every game of skee ball game requires 2 tokens and every game of pin ball game require 4 tokens.

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Answer:0.02275

Normal distribution:

Which is symmetrical about mean.

Mean:

It is the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Complement rule:

When two disjoint sets are meant to occur then the sets are said to be complementary.

Given:

Mean= 0.4 seconds

Standard deviation= 0.005 seconds

Let, X be the reaction time for the driver to view stimulus.

So, distribution of X is given by:

X~ N( 0.4, 0.005)

Where σ= 0.05 and µ= 0.4

Solving this ques by using normal standard deviation and z score given as:

z=\frac{x-µ}{σ}

Applying formula:

P(X>0.5)= P{(x-µ/σ) > (0.5-µ/σ)} P {Z > (0.5-0.4/0.05)}

=P(Z > 2)

By using complement rule we get,

P(Z>2) = 1- P(Z<2)

Using normal standard table we have,

P(Z>2)=1- P(Z<2)

= 1- 0.97725

= 0.02275

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The probability that a reaction requires more than 0.5 seconds is 0.0227

Z-score standardization:

The amount of standard deviations the data point deviates from the mean is shown by the standardized z-score.

• If the z-score increases when it is higher than the mean (0).

• If the z-score is below the mean and takes a negative value (0).

Given that,

Mean = μ =0.4

Standard deviation = σ =0.005

The probability that a reaction requires more than 0.5 seconds is obtained by;

Let X denotes the reaction time of a driver which follows a normal distribution with a mean of 0.4 seconds and a standard deviation of 0.005 seconds.

P(X > 0.5) = 1 - P(X < 0.5)

                = 1 - P(0.4 < X < 0.5) (0.5 - 0.4/0.005)

                = 1 - P(25.06)  

                = 1 - P(252)

From the “standard normal table”, the area to the left of is 0.9773.

P(X > 0.5) = 1 - P(252)

                = 1 - 0.9773

                = 0.0227

Hence, the probability that a reaction requires more than 0.5 seconds is 0.0227

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The percent decrease in screen time this week is 40%. Therefore, option C is the correct answer.

Given that, last week, Lora used 840 minutes. This week, Lora used 504 screen time minutes on the phone.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now,

Difference=840-504

= 336

Percentage decrease = Difference in value/Original value ×100

= 336/840 ×100

= 0.4 ×100

= 40%

The percent decrease in screen time this week is 40%. Therefore, option C is the correct answer.

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Given -

In a certain chemical, the ratio of zinc to copper is 4 to 13.

The chemical contains 546 grams of copper.

Prove  -

How many grams of zinc does it chemical contain.

Answer

suppose that scalar multiple of the  zinc and copper be y .

As given

In a certain chemical, the ratio of zinc to copper is 4 to 13.

The chemical contains 546 grams of copper.

Than equation is

13y = 546

13y = 546

y = 42

Zinc contain in the certain chemical = 4y

                                             = 4 42

                                             = 168 grams

Therefore 168 grams of zinc contain in a certain chemical .

The statement that best describes the relationship that is displayed by the scatter plot is: D. As the distance of the attempt increases, the kickers tend to have a lower success rate for their field goals.

A scatter plot is used to show the relationship between two variables that are different, whereby the trendline formed by each data point determines whether the relationship between the two variables is negative or positive.

If the trendline slopes upwards, it is positive, if it slopes downwards, it is negative.

If it is negative, it means as one variable increases, the other one decreases. On the other hand, if it is positive, it implies that as one variable increases, the other variables decreases.

The scatter plot given shows that the relationship between the distance of the attempt and success rate is negative. This implies that, as the distance of the attempt increases, the success rate decreases.

Therefore, the accurate description is: D. As the distance of the attempt increases, the kickers tend to have a lower success rate for their field goals.

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Answer:

D. as the distance of the attempt increases, the kickers tend to have a lower success rate for their field goals.

Step-by-step explanation:

Answer:

Answer:table B represents the linear equation which is:[tex]y=-3x+11[/tex]The graph of the linear function is also attached below.Step-by-step explanation:Given the table B values x

Answer:

-4

Step-by-step explanation:

(-2)^2 + 4(-2) =

= 4 - 8 =

= -4

Answer:

3

Step-by-step explanation:

The value of the operation is 3.

The first step is to solve for the terms in the brackets.

The decimals would be added first 8.7 + 3.3 = 12 

The second step is to determine the square of one-half² =  x  = 1/4 

The third step is to multiply, 1/4 by 12 1/4 x 12 = 3

Answer: The carpenter will spend $38.84

Step-by-step explanation:

8.5 feet of rope and the rope costs 4.57 per foot

8.5x4.57=38.845

Since half a cent does not exist we can get rid of the 5 at the end

Therefore the carpenter will have to spend $38.84

Unless you want to round it up, then it will be $38.85

Answer:

40% = 0.40800 / 0.40 = 2000 total tickets were sold

Step-by-step explanation:

Answer:

648

Step-by-step explanation:

ans: 81/100 x800

       =648

Answer:

The answer to this equation is (-1,1)

Answer:

The answer is –3 < 1

Step-by-step explanation:

-3 is below zero. 1 is above zero. therefore, -3 less than 1

That is one way to find out the answer

The coordinates of x and y on the graph can not form a function.

x and y do not show any relationships.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates from the graph.

(2, 0)

(2, 1)

(-1, 2)

(1, 3)

(0, -1)

(2, -3)

(-1, -1)

(3, -2)

We can say that,

A function can not have one to many.

We have,

(2, 0), (2, 1), and (2, -3).

This means,

For x = 2, y = 0, 1, -3.

This is not possible.

Thus,

The coordinates of x and y on the graph can not form a function.

x and y do not show any relationships.

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The angle ∠U is the largest in triangle ΔTUV. Then the largest side will be TV.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

In ΔTUV, m∠T = 58° and m∠U = 97°.

Then the third angle of the triangle will be given as,

∠T + ∠U + ∠V = 180°

58° + 97° + ∠V = 180°

155° + ∠V = 180°

∠V = 180° - 155°

∠V = 25°

In a triangle, the opposite angle of the largest side will be the largest one.

The angle ∠U is the largest in triangle ΔTUV. Then the largest side will be TV.

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The total distance leon biked in miles that weekend is 19.5 miles.

The answer provided below has been developed in a clear step by step manner.

On Saturday, Leon biked 1.5 hours at a speed of 14.5 miles per hour that means distance =  14.5 * 1.5 = 21.75 miles

On Sunday, he biked 2.75 hours at a speed of 15 miles per hour that means distance =15 * 2.75 =41.25  miles

Distance = speed*time  use this formula

He farther did in sunday = 41.25 - 21.75 miles = 19.5 miles

Therefore, that weekend Leon rode his bike a total of 19.5 miles.

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The equation of the graph represented by the figure is f(x) = |x - 3| + 5

From the question, we have the following graph that can be used in our computation:

The graph is an absolute value graph

As a general rule, an absolute value is expressed as

y = |x - h| + k

In this case, the vertex is

Vertex = (h, k)

As a general rule, the vertex of a function is the minimum point on the graph

On the given graph, the minimum point is (3, 5)

This means that

(h, k) = (3, 5)

Substitute the values (h, k) = (3, 5) in the equation y = |x - h| + k

So, we have the following representation

y = |x - 3| + 5

Rewrite the equation as a function

f(x) = |x - 3| + 5

Hence, the equation is f(x) = |x - 3| + 5

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Answer:

Step-by-step explanation: The constant growth for Plant A is two cm a month and the growth of Plant B is also two cm a month.

In relation, Plant B will also be 3cm taller than Plant A on any month so when Plant A is 49cm, Plant B is 52.

When Piece A's height is 49 cm then the Piece B's height will be 52 cm.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We can see that Piece A's height increases by 2 cm each month and Piece B's height increases by 2 cm each month as well.

To find out what Piece B's height will be when Piece A's height is 49 cm, we need to find how many months it will take for Piece A to reach 49 cm.

From Month 1 to Month 2, Piece A's height increased by 2 cm, and from Month 2 to Month 3, Piece A's height increased by another 2 cm. Therefore, Piece A's height increases by 2 cm per month.

To go from 28 cm (Piece A's height in Month 3) to 49 cm, it takes 21 cm ÷ 2 cm/month = 10.5 months.

So 10.5 months after Month 3 is Month 13.5.

In Month 13.5, Piece A's height will be 49 cm and Piece B's height will be:

Piece B's height in Month 3 + 2 cm/month × (13.5 - 3 months)

= 31 cm + 2 cm/month × 10.5 months

= 52 cm

Therefore, when Piece A's height is 49 cm, Piece B's height will be 52 cm.

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The equation for the absolute value function is y = -2lx-4l + 2

An absolute value function is what?

A function that surrounds an algebraic expression in absolute value symbols is called as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value. The definition of the absolute value parent function is given as follows: f(x)=x if x>00 if x=0 if x0.

Y=a| x+h |+k is the form of the equation for an absolute value function. Also:

The graph's vertex is (h,k).

The range of the graph is y≥k for a>0 and its domain is a set of all real numbers.

The range of the graph is y≤k when a0, and its domain is a set of all real numbers.

X=h is the symmetry axis.

If a>0, it opens up; if a0, it opens down.

The graph of y=a| xh |+k can be created by translating the line graph y=| x | by h units horizontally and k units vertically.

If | a | 1 and if | a | >1, the graph of y=a| x | is wider than the graph of y=| x | and narrower.

So here (h,k)=(4,2)
range of y≤2

and its narrower so a≥1
hence the equation is y = -2 l x-4 l +2


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Answer:

18X^2 + 18XY + 12YX + 12Y^2

Step-by-step explanation:

you have to moltiplicate the first term with the other two and the same thing for the second term of the first moltiplication

Step-by-step explanation:

what is the question you need an answer for ?

I assume you only need the result of the multiplication of both terms.

remember, when multiplying summary terms, we need to multiply every part of one term with every part of the other term.

(3x + 2y)(6x + 6y) = 18x² + 18xy + 12xy + 12y² =

= 18x² + 30xy + 12y²

The value of X for the given equation is X = 3/4.

A percentage is the equality of two ratios, while a ratio is the divisional comparison of two numbers. As well as being written as x: y or x/y, ratios are sometimes expressed as x is to y.

A proportional equation declares that two ratios are similar on a comparative basis. A ratio means that x is to y as z is to w and is represented as x: y: z: w. Since w and y are not equal in this situation, x/y = z/w.

The given equation is

1/2 : 2/3 = X:1

We can rewrite it as

(1/2)/ (2/3) = X

X = 1/2 × 3/2

X= 3/4

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The equation of line with a slope of -5 and which passes through point (-2, 8) is 5x + y = -2.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the data in the question;

Point (-2,8)

First, we determine the y-intercept 'b'. Plug the coordinates and slope into the equation of line formula and solve for b.

y = mx + b

8 = (-5)(-2) + b

8 = 10 + b

b = 8 - 10

b = -2

Now, plug values of slope m and y-intercept b into y = mx + b to determine the equation of the line.

y = mx + b

y = (-5)x + (-2)

y = -5x - 2

Convert to standard form; Ax + Bx = C

y = -5x - 2

Reorder the equation

5x + y = - 2

Therefore, the equation of the line is 5x + y = - 2.

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Round 31.24 to 1 decimal place:

31.2

Answer:31.2

Step-by-step explanation:

you remove the 4 because it is less than 5.

Answer: b)

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The slope of the given line in the graph is 0.

What is slope?

 The steepness and direction of a line are measured by its slope. Any two points along the line can be used to calculate it. A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x). The Slope, also known as the Gradient, of a straight line displays how steep the line is. The change in y coordinate relative to the change in x coordinate is known as the slope of an object.

Here the given graph points are,

[tex](x_1-y_1)=(1,1)\\(x_2,y_2)=(4,1)[/tex]

Using slope formula ,

=> slope m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

=> slope m = [tex]\frac{1-1}{4-1}[/tex]

=> slope m = 0/3

=> slope m=0.

Therefore slope of the line is 0.

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