y=7x+4 find the gradient of the line

The following is the proof by contrapositive of the statement: The average of three real numbers is greater than or equal to at least one of the numbers. Hence, the assumption that the average of three real numbers is less than all of the numbers is false.

The following is the proof by contrapositive of the statement: The average of three real numbers is greater than or equal to at least one of the numbers. Hence, the assumption that the average of three real numbers is less than all of the numbers is false.

Let y and z be real numbers. We assume that (y + z)/2 < y and (y + z)/2 < z. Adding the two inequalities yields y + z < 2y + 2z, which simplifies to y + z < y + z + 2(y + z)/2.

This contradicts the fact that y + z = 2(y + z)/2. Therefore, the assumption that the average of three real numbers is less than all of the numbers is false.

Let x, y, and z be three real numbers. We assume that (x + y + z)/3 < x, (x + y + z)/3 < y, and (x + y + z)/3 < z.

Adding up the three inequalities yields x + y + z < 3x + 3y + 3z, which simplifies to (x + y + z)/3 < (x + y + z)/3 + 2(x + y + z)/3. This contradicts the fact that (x + y + z)/3 = (x + y + z)/3.

Hence, the assumption that the average of three real numbers is greater than all of the numbers is false. Therefore, the proof by contrapositive of the statement (in order) is: Let x, y, and z be three real numbers.

We assume that (x + y + z)/3 < x, (x + y + z)/3 < y, and (x + y + z)/3 < z.

Adding up the three inequalities yields x + y + z < 3x + 3y + 3z, which simplifies to (x + y + z)/3 < (x + y + z)/3 + 2(x + y + z)/3.

This contradicts the fact that (x + y + z)/3 = (x + y + z)/3.

Hence, the assumption that the average of three real numbers is greater than all of the numbers is false. Let y and z be real numbers. We assume that (y + z)/2 < y and (y + z)/2 < z. Adding the two inequalities yields y + z < 2y + 2z, which simplifies to y + z < y + z + 2(y + z)/2. This contradicts the fact that y + z = 2(y + z)/2. Therefore, the assumption that the average of three real numbers is less than all of the numbers is false.

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Answer:

25

Step-by-step explanation:

Answer: 25

Step-by-step explanation:

Answer:

so each chair will cost 205

205 will be our cost C this is our dependent due to the entire cost being base on how many chairs that will get order

the independent variable will be how many chairs that will be ordered and there are 34 chairs being ordered

34*205= 6970

the total cost will be 6970

Answer:

y=34.5 degrees

x=17 degrees

Step-by-step explanation:

2y=69  because it is a corresponding congruent angle

y=34.5 degrees

2y=3x+18

69=3x+18

3x=51

x=17

Answer:

15. x = 112 degrees

18. x = 120 degrees

Step-by-step explanation:

15.

A triangle's angles always equal 180 degrees so we can find the two unknown angles by subtracting 44 from 180 and then dividing it by 2.

2a + 44 = 180

2a = 136

a = 68

Each unknown angle equals 68 degrees. The line from 44 degrees to x degrees segments a line that has a 180 degree angle so we can subtract 68 from 180 to get x.

x + 68 = 180

x = 112

18.

We can use the same concept here but now every angle equals each other so we can divide 180 by 3 to get the measure of those angles.

3a = 180

a = 60

Now we do the same thing as last time to find x.

x + 60 = 180

x = 120

Answer:

Both of the shapes correspond with one another.

(For explanation, look to the second image. Brainly would not let me submit that for an unknown reason)

(It is my explanation)

Good luck!

Mr. Red's salary is an illustration of an arithmetic sequence

The explicit rule of Mr. Red's salary is an = 500n + 29500

Mr. Red's salary is an arithmetic sequence with the following parameters:

First term, a1 = 30000

Common difference, d = 500

The explicit rule is calculated as:

an = a1 + (n - 1) * d

This gives

an = 30000 + (n - 1) * 500

Evaluate the product

an = 30000 - 500 + 500n

This gives

an = 29500 + 500n

Rewrite as:

an = 500n + 29500

Hence, the explicit rule of Mr. Red's salary is an = 500n + 29500

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Answer:

13 coffee mugs

Step-by-step explanation:

8.50(13)+2.75(8)

=110.50+2.75(8)

=110.50+22

=132.50

Answer:

Step-by-step explanation:

If he puts smarty back

because it's an "and" multiply by the 2 possibilities

4/12 *4/12

=1/3 *1/3

=1/9

If does not put smarty back

4/12 *3/11

=1/3*3/11

=3/33

The length of XY is 8.

When a triangle has precisely the same three sides and precisely the same three angles, it is said to be congruent.

Given that, the triangles ΔXYZ and ΔMNL are congruent.

Therefore, XY≅MN.

Since MN = 8, it follows XY =8.

Hence, the length of XY is 8.

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Answer:

14 months.

Step-by-step explanation:

3,450 - 8,650 = 5,200 divided by 350 = 14 months or 14.8 months if the answer requires a decimal.

The chemical tracer commonly used to trace the paths of afferent axons is called "biocytin."

Afferent nerve fibers are axons (nerve fibers) of sensory neurons that carry sensory information from sensory receptors to the central nervous system. Many afferent projections arrive at a particular brain region. Afferent nerve fiber.

The chemical tracer commonly used to trace the paths of afferent axons is called "biocytin." Biocytin is a modified form of biotin that can be taken up by neurons and transported along their axons. It is often injected into a specific region of interest and allowed to diffuse throughout the neural tissue. Afferent axons originating from the injected area can then take up and transport the biocytin, allowing researchers to visualize and study their pathways using various histological techniques, such as immunohistochemistry or avidin-biotin complex staining.

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Answer:

5 times

Step-by-step explanation:

Jenna wil most likely pull a yellow marble 1/3 of the time, because the total number of marbles is 6, and there are 2 yellow marbles, 2/6 which is 1/3. 1/3 times 15 is 5. So Jenna will most likely pull a yellow marble 5 times.

Answer:

3(4)^2+7(4)(3)-6(3)^2

= 78

-1/7, since parallel lines have equal slopes.

Answer:

54

Step-by-step explanation:

first find x:

21x-9=14x+12

21x=14x+21

7x=21

x=3

now substitute

21(3)-9

63-9=54

Answer:

y=3

Step-by-step explanation:

y = - x +7

x=4

so y = -4 +7

y = 3

Answer: p=-7

Step-by-step explanation:

To solve for p, you want to isolate the variable, get p alone. You would use different algebraic properties to do so.

30+6p=7p+42-5

30+6p=7p+37

-7=p

p=-7

The activity ratio in the value stream measures the efficiency of the production process by evaluating the ratio of value-added activities to non-value-added activities.

The activity ratio is a performance metric used in value stream mapping, which is a lean management tool for analyzing and improving the flow of materials and information in a production process.

It focuses on distinguishing value-added activities, which directly contribute to meeting customer requirements, from non-value-added activities, which do not add value but consume resources and time.

By calculating the activity ratio, organizations can assess the proportion of time and resources spent on value-added activities versus non-value-added activities.

A higher activity ratio indicates that a greater portion of resources is dedicated to value-added activities, indicating improved efficiency and reduced waste.

Conversely, a lower activity ratio suggests a higher proportion of resources being utilized for non-value-added activities, indicating potential areas for improvement and waste reduction.

The activity ratio serves as a valuable diagnostic tool for organizations to identify process inefficiencies, bottlenecks, and areas for improvement. By analyzing the activity ratio, organizations can streamline their processes, eliminate waste, and optimize resource allocation to enhance overall productivity and customer value.

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The test statistic for the sample mean is given byz = (x - μ) / (σ / √n)Where,x = 49, μ = 50, σ = 15, n = 55z = (49 - 50) / (15 / √55)≈ -1.24 From the z-tables, we find that the area to the left of z = -1.24 is 0.1089. This implies that the p-value = 0.1089 > α = 0.01.

Given information Random sample of 55 second-gradersSample mean score is x=49The standard deviation of test scores is σ = 15The nationwide average score on this test is 50.The school superintendent wants to know whether the second-graders in her school district have weaker math skills than the nationwide average.Level of significance (α) = 0.01Null hypothesis (H0):

The average math score of second-graders in the school district is greater than or equal to the nationwide average math score.Alternative hypothesis (Ha): The average math score of second-graders in the school district is less than the nationwide average math score.The test statistic for the sample mean is given byz = (x - μ) / (σ / √n)Where,x = 49, μ = 50, σ = 15, n = 55z = (49 - 50) / (15 / √55)≈ -1.24 From the z-tables, we find that the area to the left of z = -1.24 is 0.1089. This implies that the p-value = 0.1089 > α = 0.01.Since the p-value is greater than the level of significance, we fail to reject the null hypothesis.

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Answer:

Step-by-step explanation:

Remember to break these apart by using the powers to determine the number the base and power make.

2^5 = 32

3^2 = 9

5 = 5

32 * 9 * 5 = 1440

Answer:

Step-by-step explanation:

The sum of the three angles is 180°.

  (2x) +(x+y) +(52-2y) = 180

  3x -y = 128 . . . . write in standard form

The congruent angles have equal measure.

  2x = 52 -2y

  x + y = 26 . . . . write in standard form

__

Adding these two standard-form equations, we get ...

  (3x -y) +(x +y) = (128) +(26)

  4x = 154

  x = 38.5

  x + y = 26

  y = 26 -38.5 = -12.5

The values of interest are ...

As a result, the width of the confidence interval will rise as the sample size is reduced.

An area created using fixed-size samples of data from a population (sample space) that follows a particular probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability.

Given,

What causes a confidence interval's width to grow?

The confidence interval widens as the confidence level does. The only option to get more accurate population estimates, assuming the confidence level is fixed, is to reduce sampling error. The standard error statistic assesses sampling error.

When sample size is reduced, what happens to the width of the confidence interval?

As a result, the width of the confidence interval will rise as the sample size is reduced.

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The table that represents a proportional relationship is given as follows:

x −3 0 3

y −2 0 2

(which is the last option).

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

From the definition, we have that a proportional relationship is a linear function with an intercept of zero, meaning that when x = 0, y = 0.

The last option is the only option for which the intercept of zero condition is satisfied, hence it is the correct option.

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Answer:

190 cards

Step-by-step explanation:

Elle, Jonah and Mandy shared the game cards in the ratio 2 : 3 : 7. The total ratio is:

2 + 3 + 7 = 12

If they were shared equally, they would each receive 152 cards, this means that the total number of cards they received is:

152 * 3 = 456 cards

Elle's share is therefore:

2 / 12 * 456 = 76 cards

Mandy's share is:

7 / 12 * 456 = 266 cards

Therefore, the number of cards that Many received more than Elle is:

266 - 76 = 190 cards

Answer:

y= 5x+3

Step-by-step explanation:

first, we want to have it in a correct linear equation format (solve intercept formula): y=mx+b

so we just switch the equation around:

*minus y from both sides of the equation*

5x-y= -3

*minus 5x from each side*

-y= -5x-3

*multiply the whole equation by -1 to make the equation positive* (remember negative times a negative equals positive)

Final equation: y= 5x+3

Answer:

A

Step-by-step explanation:

the arc of a circle is 85° the same as the central angle  85

so the range is between 0 and 90 degrees

π/2=90 degrees

0 and π/2