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Answer:

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Slope is negative and therefore it represent a negative correlation.

The matching choice is D

Answer:

d)  The slope is -0.3, which indicates a negative correlation.

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Given equation:

[tex]y=3.9-0.3x[/tex]

The slope of a linear equation is the coefficient of the term in x.

Therefore, the slope of the given line of best fit is -0.3.

If the slope of the line of best line is negative, it indicates a negative correlation.

If the slope of the line of best line is positive, it indicates a positive correlation.

Therefore, as the slope is negative, it indicates a negative correlation.

Answer:

$80 original price

Step-by-step explanation:

If 45% of an item is $36 what is the original price?

40% = 0.4

36/0.4 = $80 original price

Answer:

$80

Step-by-step explanation:

45/100=36/x

Cross multiply

45x=100(36)

45x=3600

/45.   /45

x=80

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Answer:

W= P/2 - L

By doing the algebraic work you get W=P/2 - L

An equilateral triangle is not a right triangle for which the formula A = 1/2 bh applies. where A is the area, b is the length of the base, and h is the height. This formula does not work because all sides and angles of an equilateral triangle are equal.

Hence, An equilateral triangle is not a right triangle for which the formula A = 1/2 bh applies. where A is the area, b is the length of the base, and h is the height. This formula does not work because all sides and angles of an equilateral triangle are equal.

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The expression is (11x+i6y)(11x-i6y).

Given:

[tex]121x^{2} +36y^{2}[/tex]

[tex]121x^{2} +36y^{2} = (11x)^{2} +(6y)^{2}[/tex]            

[tex]= (11x)^{2} -(-1)(6y)^{2}[/tex]

[tex]=(11x)^{2} -i^{2} (6y)^{2}[/tex]

[tex]=(11x)^{2} -(i6y)^{2}[/tex]

Formula:

[tex]a^{2} -b^{2} = (a+b)(a-b)[/tex]

[tex]121x^{2} -36y^{2}=(11x+i6y)(11x-i6y)[/tex]

#123

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Expression's factored form over complex numbers (11x + 6iy) (11x-6iy).

Given expression;

[tex]121x^2 + 36y^2[/tex]

Factored form of the expression over the complex numbers;

   [tex]121x^2 + 36y^2[/tex] = [tex](11x)^2 + (6y)^2[/tex]

                    = [tex](11x)^2 -(-1)(6y)^2[/tex]

                    = [tex](11x)^2 - i^2(6y)^2[/tex]

                    = [tex](11x)^2 - (6iy)^2[/tex]

                    = (11x + 6iy) (11x-6iy)

Expression's factored form over complex numbers (11x + 6iy) (11x-6iy).

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The value of the final result when 19 is subtracted from 26 will be positive value (7).

According to the question,

We have the following expression:

26-19

Now, we have to find whether the value of this expression will be positive or negative.

We know that when two integers are of different signs then the smaller one is subtracted from the larger one but in the final result the sign remains that of the larger integer.

In this case, 26 is greater than 19 and it is positive.

So, the result will also be positive.

26-19

7

Hence, the value of the final result when 19 is subtracted from 26 will be positive (7).

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The speed of boat in still water is 15 m per hour.

What is speed?

The speed of an object, also known as v in kinematics, is the size of the change in that object's position over time or the size of the change in that object's motion per unit of time, making it a scalar quantity. The instantaneous speed is indeed the upper limit of a average speed as that of the length of the interval approaches zero. The average speed of the object in a period of time is equal to the distance travelled by object divided by duration of the period. Velocity and speed are not the same thing.

The dimensions of speed are time divided by distance.

Given, speed of lazy river current = 5

distance covered = 20 miles downstream

and 10 miles upstream

Let x be the speed in still water
(x+5)T = 20

(X-5)T= 10

2(X-5) = (X+5)

X = 15

Therefore, speed of the boat in still water is 15 m per hour

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Using the given information, the scale of the map is 1 : 1250000

From the question, we are to determine the scale of the map.

From the given information,

An actual distance of 50km corresponds to 4cm on the map

To determine the scale of the map,

First, we will convert 50 km to cm

50 km = 50000 m

50000m = 5000000 cm

∴ 50 km = 5000000 cm

Thus,

An actual distance of 5000000 cm corresponds to 4cm on the map

That is,

4 cm represents 5000000 cm

Dividing by 4

Then,

1 cm represents 1250000 cm

Hence,

The scale is 1 : 1250000

Here is the complete question:

What is the scale if: an actual distance of 50km corresponds to 4cm on the map.

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Answer:

tttttttttttttttttttttttttttttttttttttttttt

Step-by-step explanation:

tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt

Answer:

y = 3/5 x

Step-by-step explanation:

Direct variation:

y = kx

We need to find k.

x = 15; y = 9

9 = k × 15

k = 9/15 = 3/5

Answer: y = 3/5 x

Answer:

Yes

Step-by-step explanation:

I will do question 4 so you understand: What there asking is for you to simplify.

This is how you do so.

step 1 find the numbers that have the same letter

Step 2 If you find one for example 7y and 3y you add them which is 10y

Step 3: Any letters that are by them selves and the question doesn't give you a value ignore!

Hope this helps!!

Step-by-step explanation:

elementary school has 651 students and 31 teachers.

the teacher/student ratio is therefore 31/651 or simplified 1/21.

elementary and middle school together have 1197 students. that means the middle school has

1197 - 651 = 546 students

their teacher student ratio is then

x/546

and that must be the same as for the elementary school.

so,

x/546 = 1/21

x = 546/21 = 26

so, the middle school has 26 teachers.

Answer:

Anny consumed 25% time in stretching

Total time taken by anny in gym = 1 hour.

Time spent by anny on the treadmill= 25 minutes.

Time spent by anny in lifting weights= 20 minutes.

And remaining time anny spent on streching,

we have to find what percent did anny spend on streching.

Therefore anny consumed 25% time in streching.

Answer is 25%.

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According to the substitution method, the value of x is 5 and the value of y is -2

Substitution method:

In math, substitution method, we have to substitute the value of a variable found by one equation in the second equation.

Given,

Here we have the equations:

3x + 4y = 7

2x - 3y = 16

Now, we have to solve this one by using an algebraic method.

Here we have to use the substitution method to solve this equations,

Suppose,

3x+4y=7              →(1)

and 2x-3y=16     →(2)

Taking equation (1), we have

=> 3x+4y = 7

⇒ 3x = -4y+7

⇒ x = (-4y+7)/3  →(3)

Putting x = (-4y+7)/3 in equation (2), we get

=> 2x - 3y = 16

=> 2((-4y+7)/3) - 3y = 16

⇒-8y + 14 - 9y = 48

⇒ - 17y + 14 = 48

⇒ - 17y = 48 - 14

⇒ - 17y = 34

⇒y=-2→(4)

Now, Putting y=-2 in equation (3), we get

=> x = (-4y+7)/3

=> x = (-4(-2)+7)/3

⇒ x = (8 + 7)3

⇒ x = 15/3

⇒ x = 5

∴ x = 5 and y = -2

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Answer:

the answer for this is just a coincidence 18: 18 sets of equipment

                                                                   19: 100 tickets

Step-by-step explanation:

this is the answer :)

(56.42155, 63.57845) is the 95% confidence interval  of the population mean number of days it takes to find a job.

In frequency statistics, a confidence interval is the range of estimated values for an unknown parameter. Confidence intervals are computed at the specified confidence level. A 95% confidence level is the most common, but other levels such as 90% and 99% are sometimes used.

Given a=0.05, Z(0.025)=1.96

SO 95% confidence interval is

xbar+/-Z*s/vn

--> 60+/- 1.96*10/sqrt(30)

-> (56.42155, 63.57845)

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Answer:

3 hours

Step-by-step explanation:

3 hours will cost 2.50*3 which is 7.50 + the base price of 5.

So that would be $12.5 leaving you with $1.5

The simplified expression can be given as 3y^7

What is exponent?

We we multiply same number multiple times then it we write it in forms of exponent. an exponent shows how many times a multiplied to itself

We are given an expression 3y^3/ y^-4

We multiply numerator and denominator by y^4 to simplify the expression

In the numerator the term gets added and in the denominator +4 and -4 get subtracted getting 0 in the exponent.

And anything raised to 0 is 1

Hence, We get, 3y^7

This is the simplified expression

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The value of this simplification is - 20. 72.

What is simplification?

The act of simplifying something that is simpler to carry out or understand, or the thing that is the product of this simplifying process: The group offers suggestions for streamlining business processes. This grossly oversimplifies what actually transpired.

Here, we have

Given the equation, we solve this through simplification

We get,

= {(1.88 + 2.12) × 0.1875}/{(0.625 - 0.722)÷2.888} + {(1.44 + 0.56)÷0.5}/{(7.7÷24.75 + 0.133)× 4.5}

= 0.75/(-0.033) + 4/1.988

= -22.72 + 2.00

= - 20.72

Hence, the value of this simplification is - 20. 72.

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Answer:

Step-by-step explanation:

1

The equation of parabola with vertex at (2, 4) and directrix y = 7 is (x - 2)^2 = -12(y - 4)

We know that the equation of standard parabola is (x - h)^2 = 4p(y - k), where p≠ 0.

here, the vertex =  (h, k)

and the directrix is the line y = k - p.

We have been given  vertex at (2, 4) and directrix y = 7

so, h = 2, k = 4

k - p = 7

4 - p = 7

- p = 7 - 4

p = -3

so, equation of parabola would be, (x - 2)^2 = 4(-3)(y - 4)

(x - 2)^2 = -12(y - 4)

Therefore, the equation of parabola with vertex at (2, 4) and directrix y = 7 is (x - 2)^2 = -12(y - 4)

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The acceleration produced by a car will decrease as its mass rises. Less acceleration will be recorded by the computer system, which will cause a drop in the acceleration value on the graph.

Graph:

An organized visual representation of any data in mathematics is called a graph. The graph shows the correlation between the variable values. In graph theory, a graph is used to represent the collection of objects that are somehow connected to one another. In essence, the objects' vertices or nodes are mathematical concepts, and the connections between the nodes are represented by the edges. Different types of graphs are used in mathematics and statistics to visually display data. The discipline of graph theory is the study of points and lines. It is a field of mathematics that specializes in the study of graphs. This image visually illustrates the mathematical truth. The graph theory is used to study relationships.

Complete question:

Use the image to answer the question. Students are using the experimental setup shown in the image in which the two ends of a string are attached to a car and to a hanger. The students conduct three trials in which they place metal discs on the hanger to manipulate the force applied to the car. As a result, the car accelerates along the table while two photogate probes collect motion data. On the fourth trial of this experiment, a student places some discs on the car by mistake. In 1-2 sentences, explain how this mistake will affect the graphs produced by the computer.

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Answer:

Slope = 1

Step-by-step explanation:

To find the slope you must do this equation: [tex]m=\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]. [tex]y_{2}[/tex]=4 [tex]y_{1}[/tex]=1 [tex]x_{2}[/tex]=4 [tex]x_{1}[/tex]=1. Then do the math, 4-1=3 divided by 4-1=3. You will then get 3/3=1. 1 is your slope.

Answer:

8.5

Step-by-step explanation:

the distance between points X and Y. In other words, to view an image of yourself in a plane mirror, you will need an amount of mirror equal to one-half of your height. A 6-foot tall man needs 3-feet of mirror (positioned properly) in order to view his entire image.

The coordinates of (9,4) after the following translation (x, y) (x - 2, y + 1) is (7,5)

What does a coordinate in mathematics mean?

A group of numbers used to express the divisions of two reference axes' positions along the horizontal and vertical axes of a coordinate plane. frequently represented as the union of x-values and y-values (x,y).

Given that

x = x-2

y = y+1

After this we can convert this (9,4) coordinate in the following translation

9-2 = 7

4+1 = 5

Hence now new coordinate after the translation is (7,5)

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The measure of angle 1 is 48°.

The measure of angle 2 is 132°.

The measure of angle 3 is 132°.

What are the measure of angles?

Angle 1 and angle 48 are vertically opposite angles. Verticly  opposite angle have the same values. Thus, angle 1 would be 48.

Angle 1 and 2 are interior opposite angles. Thus, both angles should add up to 180 degrees.

180 - 48 = 132

Angle 2 and 3 are alternate external angles. Thus, they are equal.

Angle 3 would be 132.

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Answer: 2

Step-by-step explanation:

Equation: 3a + 4 = 5a

-5a+3a+4 = 5a-5a

-2a+4 = 0

-2a+4-4 = 0-4

-2a = -4

a = 2

Done!

Answer:

m = -27/13

Step-by-step explanation:

Given equation,

→ (2m - 27)/3 = 5m

Now the value of m will be,

→ (2m - 27)/3 = 5m

→ 2m - 27 = 5m × 3

→ 2m - 15m = 27

→ -13m = 27

→ [ m = -27/13 ]

Hence, value of m is -27/13.