3. (a) Prepare a scatterplot for the data below, following the guidelines presented in this chapter. X Y 11 12 8 10 7 4 4 3 6 1 2 (b) What are your impressions of this scatterplot regarding strength a

The value of R when A = {1, 2, 3, 4, 5, 6} and the distinct equivalence classes resulting from an equivalence relation R on A are {1, 4, 5}, {2, 6} and {3} is {(1,1), (4,4), (5,5), (1,4), (4,1), (1,5), (5,1), (4,5), (5,4), (2,2), (6,6), (2,6), (6,2), (3,3)}.

Given the distinct equivalence classes resulting from an equivalence relation R on A are {1, 4, 5},{2, 6} and {3}. We need to find R.

We know that the distinct equivalence classes of an equivalence relation on A, say R, will partition A.

Therefore we need to put every element of A in one of these three classes.

Now, we have to find out under what circumstances two elements in A belong to the same class.

We can do that by looking at the known equivalence classes.

Here we can assume that any two elements that are in the same class are equivalent.

Now we can write R as below;{(1,1), (4,4), (5,5), (1,4), (4,1), (1,5), (5,1), (4,5), (5,4), (2,2), (6,6), (2,6), (6,2), (3,3)}

Therefore, the relation R is: R={(1,1), (4,4), (5,5), (1,4), (4,1), (1,5), (5,1), (4,5), (5,4), (2,2), (6,6), (2,6), (6,2), (3,3)}.

Hence, the required answer is R={(1,1), (4,4), (5,5), (1,4), (4,1), (1,5), (5,1), (4,5), (5,4), (2,2), (6,6), (2,6), (6,2), (3,3)}.

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Answer:

10 is the answer because it makes the equation in the right bigger from the left equation for this u have to solve with all options and find which is bigger

Step-by-step explanation:

To produce 36% solution, 50 gallons of pure acid should be added to 480 gallons of 22% acid solution.

To solve the problem find out how many gallons of acid are there in the 22% solution

           480*0.22= 105.6

       Let the amount of pure acid required to produce 36% solution be x gallons.

        So, the total amount of acid in the new solution will be

         480 + x.

 Write the equation for concentration:

    (Total acid in the new solution)/ (Total volume of new solution) = 36/100

       Using the above equation, we get;

        [105.6+x]/[480+x] = 36/100

  Cross multiply and simplify, we get;

       3600 + 100x = 423.6 + 36x63.6x

                              = 3176.4x

                              = 3176.4/63.6x

                           x = 50

        Therefore, the amount of pure acid required to produce 36% solution is 50 gallons.

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Answer: 11718.75 I think.

Answer:

$11,718.75

Step-by-step explanation:

If $1,875,000 is the median salary, it means that was the top salary for all the 160 games

So, the answer is simply given by:

$ (1,875,000/160)

= $11,718.75

x=167⁰ (alternate or z angles)

Answer:

false

Step-by-step explanation:

Answer:

(i) 90°

(ii) 10 cm

Step-by-step explanation:

What is a Rhombus?

A rhombus is a special parallelogram  that has all four sides equal. But unlike a square, the angles are not right angles

Properties of a rhombus

We are given AC = 16 cm, BD = 12 cm
Using property 3, we see that

AO = CO = AB/2 = 16/2 = 8 cm

BO = DO =12/2 = 6 cm

m∠AOB = 90°  Answer (i)

(ii) Since m∠AOB  = 90°, ΔAOB is a right triangle with AB as the hypotenuse and AO, BO as the legs of the right triangle

By the Pythagorean Theorem
AB² = AO² + BO²

AB² = 8² + 6²

AB² = 64 + 36

AB² = 100

AB = √100 = 10 cm   Answer (ii)

Answer:

Step-by-step explanation:

You have a rhombus ABCD with diagonals AC = 16 cm and BD = 12 cm. You want the magnitude of central angle AOB, and the length of one side, AB.

The diagonals of a rhombus bisect each other and cross at right angle. They divide the figure into four (4) congruent right triangles.

The central angle AOB has magnitude 90°.

Each of these right triangles will have leg lengths of 6 cm and 8 cm, which you recognize as having the ratio 3 : 4. These are the leg lengths of a 3:4:5 right triangle. In this rhombus, those right triangles have lengths 6 cm : 8 cm : 10 cm. The side AB of the rhombus is 10 cm.

__

Additional comment

If you don't remember the 3-4-5 right triangle, you can use the Pythagorean theorem to find the hypotenuse of the triangle with legs 6 cm and 8 cm:

  c² = a² +b²

  c² = 6² +8² = 36 +64 = 100

  c = √100 = 10

The side AB is 10 cm long.

Let's denote the cost of one apple as 'a' and the cost of one banana as 'b'. We can set up a system of two equations to represent the given information:

4a + 9b = 12.70   (equation 1)

8a + b = 17.70    (equation 2)

We can use either substitution or elimination method to solve for 'a' or 'b'. Let's use the elimination method by multiplying equation 2 by 9 and subtracting it from equation 1:

4a + 9b = 12.70

-(72a + 9b = 159.30)   (multiplying equation 2 by 9)

------------------

-68a = -146.60

Dividing both sides by -68, we get:

a ≈ 2.16

Therefore, the cost of one apple is approximately $2.16.

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The location of the property, its age and condition, the value of the house and its contents, and the coverage options that the homeowner chooses can all affect the typical cost of homeowners insurance in Tennessee.

The average cost of homeowners insurance in Tennessee can vary depending on several factors, including the location of the property, the age and condition of the home, the value of the home and its contents, and the coverage options selected by the homeowner.

According to recent data from the National Association of Insurance Commissioners (NAIC), the average annual premium for homeowners insurance in Tennessee in 2018 was 1,211. However, this is only an average, and actual premiums can vary significantly based on individual circumstances.

To get a more accurate estimate of the cost of homeowners insurance for a specific property in Tennessee, it is recommended to contact multiple insurance providers and obtain quotes based on the property's unique characteristics and the desired level of coverage.

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Answer:

no

Step-by-step explanation:

4+6 does not equal 12 so there for it is incorrect

Answer:

The standard form of a linear equation is Ax + By = C. When we want to find the slope of the line represented by this equation, we have two options. We can put the equation in slope-intercept form and identify the slope that way, or we can use the formula m = -A/B.

Step-by-step explanation:

The equation of the line in standard form that passes through the point (2, -3) and has a slope of 4 is 4x - y = 5.

To write the equation of a line in standard form (Ax + By = C) that passes through the point (2, -3) and has a slope of 4, we can use the point-slope form of the equation:

y - y1 = m(x - x1)

where (x1, y1) is the given point (2, -3) and m is the slope (which is 4 in this case). Substitute the values into the equation:

y - (-3) = 4(x - 2)

Now, simplify:

y + 3 = 4x - 8

Next, bring all the terms to the left side of the equation to get the standard form:

4x - y = 8 - 3

Finally, simplify the constant term:

4x - y = 5.

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1. The variance of the distribution of means option A) 15/20 = 0.75

2.  The decision that counselor  should make regarding the null hypothesis is that: option "Fail to reject it"

3. The effect of the  size is: option c:  (5 − 4.4)/.85 = .71

Note that:

Sample size =  20.

Note that for us to be able to get the answer in question one, we have to divide the unbiased estimate for the population variance by the use of  20 so that we can be able to get our unbiased estimate for the variance: And as such;

15/20 = 0.75.

The term fail to reject implies that  the null hypothesis is one that has not been disproven or wrong and therefore the use of the term "failure to reject." It is one that should not be taken with acceptance.

Therefore, 1. The variance of the distribution of means option A) 15/20 = 0.75

2.  The decision that counselor  should make regarding the null hypothesis is that: option "Fail to reject it"

3. The effect of the  size is: option c:  (5 − 4.4)/.85 = .71

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The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:

Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:

P = 110V x 0.12A

= 13.2 W

Calculate the cost per second-The cost per second can be calculated using the formula:

Cost per second = Power x Cost per Joule

C = P x CC

= 13.2 W x 1.8 x \(10^-7\) $/J

≈ 2.376 x 10^-6 $/s

Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.

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We can draw the conclusion that there is insufficient evidence to support the idea that the model explains the relationship between the independent  variable and dependent variables if the global test of statistical significance for a regression model does not reject the null hypothesis.

The global test of statistical significance for a regression model is used to assess the overall explanatory power of the model. If the global test of statistical significance does not reject the null hypothesis, this indicates that the model does not explain the relationship between the  independent variable and dependent variables as expected. This could be due to a lack of sufficient data, a poorly constructed model, or simply a lack of correlation between the variables. In any case, the results of the test should be interpreted with caution, and further investigation into the model and data may be necessary.

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Answer:

im sorry what?

Step-by-step explanation:

i

Answer:

119 minutes

Step-by-step explanation:

First let's get rid of the starting fee of $2

\(16.28 - 2 = 14.28\)

Then divide 14.28 by 0.12 ($14.28 ÷ $0.12)

\(14.28\) ÷ \(0.12 = 119\)

Thus Dante rode the scooter for 119 minutes

The number of minutes that Dante rode the scooter will be 119 minutes.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

For a ride on a rental scooter, Dante paid a $2 fee to start the scooter plus 12 cents per minute of the ride.

Let x be the number of minutes and y be the total amount.

y = 0.12x + 2

The total bill for Dante's ride was $16.28. Then the number of minutes that Dante rode the scooter will be

16.28 = 0.12x + 2

14.28 = 0.12x

x = 119 minutes

The number of minutes that Dante rode the scooter will be 119 minutes.

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The solution to the equation x^(2) + 6x - 9 = 0 in the form of (x+h)^2 = k is (x - 3)^(2) = 9.

To solve x^(2) + 6x - 9 = 0 using completing the square method, we need to first make sure that the coefficient of x^(2) is 1. In this case, it is already 1. Next, we move the constant term (-9) to the right side of the equation to get:

x^(2) + 6x = 9

Now, we take half of the coefficient of x (which is 6/2 = 3) and square it to get 9. We add and subtract 9 to the left side of the equation:

x^(2) + 6x + 9 - 9 = 9

(x + 3)^(2) - 9 = 0

Now we can rewrite this equation in the form of (x + h)^(2) = k, where h is -3 and k is 9:

(x + (-3))^(2) = 9

Thus, the solution to the equation x^(2) + 6x - 9 = 0 in the form of (x+h)^2 = k is (x - 3)^(2) = 9.

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Answer:

Step-by-step explanation:

2x - x + 10 = 17

x + 10 = 17

x = 7

y = 7 -10

y = -3

(7, -3)

Answer:

KJ = 22

Step-by-step explanation:

(See attachment below)

Answer:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve for x, isolate it on one side of the equation.

Use a distributive property.

a(b+c)=ab+ac

a(b-c)=ab-ac

2(x-14)

2*x=2x

2*14=28

=2x-28

-5x>2x-28

Subtract by 2x from both sides.

-5x-2x>2x-28-2x

Solve.

-7x>-28

Multiply by -1 from both sides.

\(\sf{\left(-7x\right)\left(-1\right) < \left(-28\right)\left(-1\right)}\)

Solve.

-7x*-1=7x

-28*-1=28

7x<28

Divide by 7 from both sides.

7x/7<28/7

Solve.

Divide these numbers from left to right.

28/7=4

\(\Rightarrow \boxed{\sf{x < 4}}\)

Therefore, the final answer is b. x<4.

I hope this helps, let me know if you have any questions.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-5x > 2(x-14) } \end{gathered}$}}\)

Use distributive property to multiply 2 by x−14.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-5x > 2x-28 } \end{gathered}$}}\)

Subtract 2x on both sides.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-5x-2x > -28 } \end{gathered}$}}\)

Combine −5x and −2x to get −7x.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{-7x > -28 } \end{gathered}$}}\)

Divide both sides by −7. Since −7 is <0, the direction of inequality is changed.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{x < \dfrac{-28}{-7} } \end{gathered}$}}\)

Divide −28 between −7 to get 4.

\(\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{x < 4 } \end{gathered}$}}}\)

Caput succedaneum refers to common benign edema that crosses cranial suture lines and midline that appears on an infant's scalp shortly after birth.

Caput succedaneum is swelling (edema) that affects a newborn's scalp. It most commonly occurs from pressure on the head as the baby moves through the birth canal during a prolonged or difficult vaginal delivery. In caput succedaneum (kuh-PUT sec-seh-DAY-knee-um), fluid builds underneath the scalp, causing swelling.

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The given question is incomplete, so i take similar question

What is swelling that crosses the suture lines on the newborn's head called?

Answer:

62

Step-by-step explanation:

it has to add up to 180 do 118 plus 62 is 180

Answer:

286

Step-by-step explanation:

11

26

_________

 066 (multiplying 6 and 1 up and diagonal)

 220 (adding a zero at the end since we are starting a new line) (same step                                

          as above to get 2 and 2)

+__________

286 (just adding the two numbers together)

The correct options for defining a plane are-

A plane is a flat, 2-dimensional surface which extends indefinitely in mathematics. Planes can appear as infinitely expanded subspaces from some multidimensional space, such as one of the room's walls, or they can exist independently, as in the configuration of Euclidean geometry.

Some key properties of the plane are-

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The correct question is -

What statements describe the properties of a plane? Select three options.

1)A plane is one dimensional.

2)A plane has length and width.

3)A plane extends infinitely in all directions.

4)A plane is precisely defined.

5)A plane is a flat surface.

The value for the function f(g(-2)) is obtained as f(g(-2)) = 0.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The graph for the function y = f(x) is given.

The graph for the function y = g(x) is given.

We need to evaluate the function f(g(-2)).

From the graph of y = g(x) the value for g(-2) is obtained as -

g(-2) = 1

So, now we have -

f(g(-2)) = f(1)

From the graph of y = f(x) the value for f(1) is obtained as -

f(1) = 0

Therefore, the value is obtained as 0.

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Answer:

960

Step-by-step explanation:

Assume that there exists a smallest positive real number, call it x. Then, consider the number x/2. Since x is the smallest positive real number, x/2 is not positive, which is a

contradiction.

To prove that there does not exist a smallest positive real number, we will use a proof by contradiction. Suppose that there exists a smallest positive real number, call it x. Then, consider the number x/2. Since x is positive, x/2 is also positive. However, x/2 is smaller than x, which contradicts the assumption that x is the smallest positive real number. Therefore, our assumption that there exists a smallest positive

real number

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∠1 and ∠2 are right angles because the measure of both angles is 90 and supplementary angles because the sum of both angles is 180°.

Triangle is a polygon that has three sides and three angles and the sum of the angle of the triangle is 180 degrees.

The figure is attached in the picture, please refer to the attached picture.

Given that:

An Angle in the figure is a right angle.

Its measure = 90°

So,∠2 = 90° ( vertically opposite angles are equal )

∠1 + ∠2 = 180° ( Linear Pair )

∠1 = 180 - 90

∠1 = 90°

∠1 = ∠2 = 90°

So, ∠1 and ∠2 are right angles because measure of both angles is 90°.

Adjacent angles because both a common arm and a common vertex.

Thus, ∠1 and ∠2 are right angles because the measure of both angles is 90 and supplementary angles because the sum of both angles is 180°.

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There is an increase of $5 per gigabyte of data.

When describing how one quantity changes in relation to another, a rate of change is used.

The table of gigabytes and their costs are given.

Note that the relation between the data is linear, and $15 increases for 3 gigabytes.

The rate of increase is:

15/3

= 5

Hence, there is an increase of $5 per gigabyte of data.

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