What is the slope of this graph? On a coordinate plane, a line goes through points A (1, 4) and B (3, 2).

A fixed point Weight is the ideal weight for our bodies in order to function optimally and feel their best.

"The set point is established over time," Harrison explains. "It's a complicated thing, but it appears to be your body's attempt to regulate itself, which results in a certain weight."

Even if set point theory is correct, it is possible to lose weight and keep it off. Avoiding fad diets and gradually losing weight may change your set point. It may allow your body to adjust to your new eating habits. You may be more successful if you seek the assistance of a therapist or a dietitian.

A fixed point Weight is the ideal weight for our bodies in order to function optimally and feel their best. It is the weight that our bodies can easily maintain—no micromanaging, counting calories, weighing food, and so on.

The point of weight A has been given in the figure.

The complete question is;

If p = 2/3, point b has a weight of 2, and point C has a weight of 4, find the weight of point A.

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Using the quartiles of the data-set, it is found that there is one high outlier in the data-set.

The dot plot shows the frequency of each observation, hence the complete data-set is given by:

4, 7, 8, 8, 9, 9, 10, 10, 10, 10, 11, 12, 12, 13, 13, 14, 16, 18, 20.

The quartiles are found as follows:

The IQR is given by:

IQR = Q3 - Q1 = 13 - 9 = 4.

The high outliers are the values that are more than 1.5 IQR above Q3, hence the threshold is given by:

13 + 1.5 x 4 = 19.

There is only value greater than 19, which is of 20, hence there is one high outlier in the data-set.

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Answer:

answer was 0

Step-by-step explanation:

Answer:6

Step-by-step explanation:

The length of ac is 20 and the length of ab is 14 so all you have to do is 20-14=6

Using the probability concept, the tree diagram and the probabilities are given on the image at the end of the answer.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For the first branch, we consider the first counter, which considering the eight counters has these following probabilities.

Then on the second branch, we consider the probabilities for the second counter, which in the case of a blue first counter are given as follows:

The same logic is applied for the other branches given in the picture at the end of the question.

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complete the table above or below as appropriate of segun corresponda.

Spanish 22% English 25% Periodism 18% Physical Education 17% Biology 18%

1. Thirty-five percent of students studied science; hence, 35 (35 = thirty-and-five) = thirty-and-five.

2. One-hundred and thirty-three percent of students studied English or periodical studies — 25+18 = 43 (forty-three = one hundred and thirty-three).

3. One-sixty-five percent of students did not study science — 22+25+18 = 65 (sixty-five = one-sixty-five)

4. Eighty two percent of students did not study biology — 17 + 22 + 25 + 18 = 82 (eighty two Equals eighteen and two).

5. One-quarter and seven percent of students studied either English or Spanish — 25+22 = 47 (quarter and seven = 47).

6. One hundred and three percent of students — 17+18+18 = 53 (one hundred and thirty equals five) — did not study languages.

y tres)

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The mode is the most common value in a set of data values then the mode of the given set of data is 56.

The mode is the most common value in a set of data values. If X is a discrete random variable, the mode is the x value at which the probability mass function maximizes. In other words, it is the most likely value to be sampled.

The most common number, or the number that appears the most frequently. Example: Since the number 2 occurs three times, more than any other number, it is the mode of the sequence "4, 2, 4, 3, 2, 2."

Let the given data be 39, 41, 44, 50, 54, 56, 56, 56, 61

The mode is the most common value in a set of data values.

Then the mode of the given set of data is 56.

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The number expression will be 14 + |-5| = 19 if Joy walked 14 steps forward, and Shaunte walked 5 steps backward option (A) is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Two friends are playing with water balloons. They each start at the bucket of balloons and walk in opposite directions before tossing their balloons at each other.

Joy walked 14 steps forward, and Shaunte walked 5 steps backward.

Let forward direction be the positive

The backward direction is negative.

The number expression can be represented;

The distance between two friends:

14 + |-5| = 14 + 5 = 19

14 + |-5| = 19

Thus, the number expression will be 14 + |-5| = 19 if Joy walked 14 steps forward, and Shaunte walked 5 steps backward.

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Answer:

Step-by-step explanation:

The X is equal to 1/6.

Meaning that the X is 1/6.

Answer:

x = 1/6

Step-by-step explanation:

(x - 3) = 7x - 4

x = 7x -1

-6x = -1

-x = -1/6

x = 1/6

Answer:

1/2

Step-by-step explanation:

simply divide 3/10 to get 0.3 and then divide 3/5 to get 0.6 then just divide 0.3 to 0.6 to get 0.5 or 1/2

The dimensions of the rectangle is found as: (b = 90 cm) and (l = 40 cm

).

Let 'l' be the length of the rectangle.

Let 'b' be the width of the rectangle.

then,

Perimeter = 2(l + b)

The given value of the perimeter = 260 cm.

The length is 50 less than the width.

Thus, l = b - 50.

Put the values in the formula;

260 = 2( b - 50 + b)

Simplify the equation;

260 = 4b - 100

4b = 360

b = 90 cm

Put the value of b in the length;

l = b - 50

l = 90 - 50

l = 40 cm

The dimension are estimated as; (l = 40 cm) and (b = 90 cm).

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The equivalent expression of 8^-1 is 1/8

The expression is given as

8^-1

The above represents 8 exponent -1

The rule for negative exponents states that

a^-1 = 1/a

This means that

8^-1 = 1/8

Hence, the equivalent expression of 8^-1 is 1/8

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The solution to the system of equation is x = 1 / 5 and y = 4

The system of equation can be solved as follows:

- 5 / 7 - 11 / 7 x = - y

7 + 5x  = 2y

let's rearrange the equations

Therefore,

- 11 / 7 x + y = 5 / 7

5x - 2y = -7

Let's multiply equation(i) by 7 to eliminate the fractions

Hence,

-11x + 7y = 5

5x - 2y = -7

Therefore, using substitution method

5x = -7 + 2y

x = -7 / 5 + 2 / 5 y

Hence,

-11(-7 / 5 + 2 / 5 y) + 7y = 5

77 / 5 - 22 / 5 y + 7y = 5

- 22 / 5 y + 7y = 5 - 77 / 5

-22y + 35y / 5 = 25 - 77  / 5

13y / 5 = -52 / 5

cross multiply

65y = -260

y = -260 / 65

y = 4

Hence,

5x - 2(4) = -7

5x - 8 = -7

5x = -7 + 8

x = 1 / 5

Therefore, the solution to the system of equation is x = 1 / 5 and y = 4

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Answer:

Step-by-step explanation:

Answer:

8^3

Step-by-step explanation:

there are three 8s soo all u do is count the number and then how many of that same number you can put into an exponent

By rearranging the formula using algebraic operations, the value of x is [tex]\frac{y}{4}[/tex] - 1.

When operations like addition, subtraction, multiplication, division, etc. are performed on variables and constants, the result is a mathematical statement known as an algebraic expression.

To find the value of x, use the same operations on both sides of the equation.

For making x the subject  

Divide by 4 on both sides

[tex]\frac{y}{4}[/tex] = (x-1)

On both sides of the equation, add 1.

[tex]\frac{y}{4}[/tex] - 1 = x

As a result, by rearranging the equations, the value of x is [tex]\frac{y}{4}[/tex] - 1.

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The weighted average is -5

The formula for the weighted average is

                                        = Σwixi/Σwi               (1)

                                             Where wi = are the weights and

                                                         xi are the coordinates

We have been given that

w1 = 3   ,  x1 = -8            and  w2 = 1  , x2 = 4

Σwixi = w1x1 + w2x2

         = 3*-8  + 1*4

         = -24 + 4

        = -20

Σwi = w1 + w2

       = 3 + 1

      = 4

Now putting the required value in equation (1) we get

Weighted average = -20/4

                                 = -5

Hence the weighted average is -5

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Answer:

180 degrees

Step-by-step explanation:

-100 + 180 = 80

Answer:its C

Step-by-step explanation:

they x will intercept when you do it right

Each student on average has 6 books.

To find how many books on average each student has:

Therefore, each student on average has 6 books.

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Algorithms are mathematical formulas placed in software that performs an analysis on a data set.

Therefore, algorithms are mathematical formulas placed in software that performs an analysis of a data set.

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Answer:

73

Step-by-step explanation:

10+(9×6)+(9×1)

10+54+9

=73

Using the weighted mean, the coordinates of P when point c has a weight of 3, and point E has a weight of 5 is of P = -1.77.

The weighted mean is given by the sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights.

For this problem, the points and weights are given as follows:

Hence the weighted mean is given as follows:

P = (2 x 3 - 6 x 9 - 9 x 2 -1 x 3 + 6 x 5)/(3 + 9 + 2 + 3 + 5) = -1.77.

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y - x = 90° is  represents a circle's circumference.

What is meant by a circle's circumference?

The distance along a circle's perimeter is referred to as its circumference. In other words, the circumference of a circle is equal to the length of a straight line formed by opening up the circle.

connect O and B

∵ OB = OD

∴ ∠ OBD = ∠ODB = x°

∴ ∠BOD = 180° - 2x°

∵ ∠BAD = y°

∴ ∠C = 180° - y°

  ∠BOD = 2∠C

  180° - 2x°  = 2 ( 180 - y° )

  180° - 2x° = 360 - 2y°

  2y - 2x = 180°

   y - x = 90°

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Answer:

see explanation

Step-by-step explanation:

1

4(5 + 3n) - 7 ← distribute parenthesis by 4

= 20 + 12n - 7 ← collect like terms

= 12n + 13

2

6 - (10n + 8) ← distribute parenthesis by - 1

= 6 - 10n - 8 ← collect like terms

= - 10n - 2

combining (adding) the 2 expressions

12n + 13 - 10n - 2 ← collect like terms

= 2n + 11

The exponential smoothing forecast for next period is 63.2.

A time series forecasting technique called exponential smoothing can be expanded to support data with a systematic trend or seasonal component.

Now,

Given:

To find: Simple exponential smoothing forecast with α = 0.4 for next period.

Finding:

Now, by the concept of exponential smoothing, forecast for next period will be given by:

Ft + 1  = α Dt + (1 - α)F,

where,

Ft+1 = the next forecast,

α = weighing factor,

Dt = actual value for this period,

F = forecast value for the current period,

Substituting the values in the above expression:

=> Ft + 1 = 0.4 (65) + (1 - 0.4) 62

=> Ft + 1 = 26 + 37.2

=> Ft  + 1 = 63.2

Hence the exponential smoothing forecast for next period is 63.2.

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The equation which models the position of the train along the track can be given as |x − 100| = 25.

One-variable linear equation is defined as the equation which can be written in the form of ax+b = 0, where a and b are two integers, and x is a variable. One-variable linear equation has only one solution. For example, the linear equation 4x+2=14 only has one variable and only one solution.

The location of the train is given by the value of x. Therefore, if x was equal to the value 85, it would be at the position 85 on the number line.

The distance between x and distance of track that is 100 is given as |x-100|. The distance can never be negative, so we take the absolute value. Because the switch is switched after the train has traveled 25 cm in one direction, we need this distance to be 25 cm.

Therefore, the equation which models the position of the train along the track is represented by |x − 100| = 25.

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Answer:

[tex]\frac{-3}{3}[/tex]

Step-by-step explanation:

So we going to put them in the Rise Over Run fomula which is [tex]\frac{5-8}{-4-(-7)}[/tex] and we simplifying this which give us [tex]\frac{-3}{3}[/tex]