I need help with question 8

I Need Help With Question 8

Answers

Answer 1

Answer:

the answer is B!

Step-by-step explanation:

because :

Jerry has = 150$

he "*DEPOSITED*" = 50$

(When the word deposit comes, it basically means we need to ADD)

therefore, 150 +50x = 500

(7 weeks) so,

150 + 50 * 7 = 500

see! my answer is correct !

mark me brainliest now pweasee! ;)) ♡♡♡


Related Questions

what is the estimated sum of 4 5/12 + 3 8/14

A.7
B.7 1/2
C.8
D.9

Answers

The estimated sum of 7 83/84 is 8 to the nearest whole number.

Addition of mixed fractions:

Mixed fractions are fraction that has a whole number attached to an improper fraction. A mixed fraction can be added by first adding the real whole numbers together, then adding their improper fraction counterparts with it.

Also, we can add two mixed fractions together by first converting all the mixed fractions to improper fractions before adding them together.

Using the first process:

= 4 5/12 + 3 8/14

The whole number are 4 and 3, adding those two together, we have:

= 7 (5/12 + 8/14)

The L.C.M of 12 and 14 is 84.

= 7( (7×5)+ (6*8) )  /84

= 7 (35+ 48/84)

= 7 (83/84)

To decimal, we get 7.988. Therefore, the estimated sum of 7 83/84 is 8 to the nearest whole number.

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You sailed 0.055 units to the left and found treasure at 0.085 units find where the ship started

Answers

To find where the ship started, we can utilize the following formula:

Starting position = Treasure location + distance sailed to the left

Since we know going in the left direction typically is a means of subtraction, we can use inverse operations to solve this. We can set up an addition problem to solve this:

Starting position = 0.085 + 0.055
Starting position = 0.03 units

Therefore, the ship started at 0.03 units.

Select the two figures that are similar to the 10 by 4 figure that is shown.

Select the two figures that are similar to the 10 by 4 figure that is shown.

Answers

Answer:

None of the above

Step-by-step explanation:

Since our given figure is 10 by 4, we have an area of 40. The pictures must have a similar area of 40 in order to be similar. Since none of the pictures have an area of 40, we have no pictures that are similar.

How many solutions does this system of equations have y = -1/3x + 7. y = -2x^3 + 5x^2 + x - 2

Answers

The system of equations has one solution.

How many solutions does this system has?

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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How many solutions does this system of equations have y = -1/3x + 7. y = -2x^3 + 5x^2 + x - 2

what’s 2+2 because it’s confusing

Answers

Answer:

24

Step-by-step explanation:

This anser was goten from Goolgle

So it is very acurait.

Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.​

Answers

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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160 students went on a field trip. Five buses were filled and 15 students traveled in cars. How many students were in each bus?

Each bus had ____ students.

Answers

each bus has 29 students.

Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x)

Answers

To solve the equation 2.5x - 10.5 = 64(0.5x), we can complete the table by substituting different values of x and evaluating both sides of the equation:

| x | 2.5x - 10.5 | 64(0.5x) |
|-------|-----------------|--------------|
| 0 | -10.5 | 0 |
| 2 | 2 | 64 |
| 4 | 7 | 128 |
| 6 | 11 | 192 |

By substituting different values of x into the equation, we can see that there is no single value of x that satisfies the equation for both sides. Therefore, there is no solution to the given equation.

A dollar bill is 6.14 inches long. If type laid ten million dollar bills end to end lengthwise, how many times around Cincinnati I-275 highway loop would the line of bills reach? The I-275 highway loop is approximately 84 miles long

Answers

Answer:

11.5 times

Step-by-step explanation:

10M dollar bills at 6.14 inches is

6.14 in x 10,000,000 = 61,400,000 inches

convert to miles

61,400,000 x 1 mile/63360 = 969.06 miles

divide by length of the highway

969.06 / 84 = 11.5 times

7. The real solutions of 3^2 −+2=0 area. 1 and -2/3b. -1 and 2/3c. There are no real solutionsd. 1 is the only real solutione. -2/3 is the only real solution

Answers

SOLUTION:

Step 1:

In this question, we are given the quadratic equation:

\(\begin{gathered} 3x^2\text{ -x + 2 = 0} \\ \text{comparing with:} \\ ax^2\text{ + bx + c = 0, we have that:} \\ a\text{ = 3, b = -1 , c = 2} \end{gathered}\)

Step 2:

Using the Quadratic Formulae, we have that:

\(\begin{gathered} x\text{ = }\frac{-b\text{ }\pm\text{ }\sqrt[]{b^2-\text{ 4ac}}}{2a} \\ u\sin g\text{ } \\ a\text{ = 3, b -1 , c = 2 } \\ we\text{ have that:} \end{gathered}\)\(\begin{gathered} x=\text{ }\frac{-(\text{ -1 ) }\pm\text{ }\sqrt[]{(-1)^2\text{ - 4(3)(2)}}}{2(3)} \\ \text{x = }\frac{1\text{ }\pm\sqrt[]{1-24}}{6} \\ \text{x =}\frac{1\text{ }\pm\sqrt[]{-23}}{6} \\ x\text{ =}\frac{1+\sqrt[]{23}\text{ i}}{2}\text{ or x = }\frac{1-\sqrt[]{23\text{ }}\text{ i}}{2} \end{gathered}\)

Step 3:

From the calculations, the solutions have no real solutions.

We can further prove this using the Graphical method:

The graph of:

\(3x^2\text{ - x + 2 = 0}\)

is as shown below:

CONCLUSION:

From the calculations and from the graph above, we can see clearly that:

The final answer is:

There are no real solutions --- OPTION C

7. The real solutions of 3^2 +2=0 area. 1 and -2/3b. -1 and 2/3c. There are no real solutionsd. 1 is

ASAP

A regular polygon is shown, with one of its angle measures labeled a.



If m∠a = (5z + 65)°, find the value of z.


z = 15

z = 20

z = 23

z = 41

ASAPA regular polygon is shown, with one of its angle measures labeled a.If ma = (5z + 65), find the

Answers

The value of  z is 15 for regular polygon.

What is Polygon?

Polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides

In the given polygon,

The number of sides=9

Interior angle of a polygon=180(n-2)/n

Now plug in n=9

Interior angle =180(9-2)/9

=180(7)/9

=140 degrees.

Given,

m∠a = (5z + 65)°

We need to find the value of z

140=5z+65

Subtract 65 from both sides

140-65=5z

75=5z

Divide both sides by 5

z=15

Hence, the value of  z is 15 for regular polygon.

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Pls help urgently extra points and mark brainlist

Pls help urgently extra points and mark brainlist

Answers

The answer is two ! hope this helps

Answer:

The answer is 2

Step-by-step explanation:

2 x ? x 3 x 2 x 2 = 48

6 x 4 x ? = 48

24 x ? = 48

24 ÷ 24 x ? = 48 ÷ 24

? = 2

For every 10 children 4 wore glasses. There were 30 children. How many did not wear glasses?

Answers

Answer:

18

Step-by-step explanation:

If 4 out of 10 wore glasses, then 6 out of 10 did not wear classes.  This would be 60% or .6

.6x30 = 18

Right triangle EFG has its right angle at F, EG = 6 , and FG = 4 What is the value of the trigonometric ratio of an angle of the triangle? Drag a value to each box to match the trigonometric ratio with its value .​

Right triangle EFG has its right angle at F, EG = 6 , and FG = 4 What is the value of the trigonometric

Answers

Answer:

\(\cos G=\dfrac{2}{3}\)

\(\csc E=\dfrac{3}{2}\)

\(\cot G=\dfrac{2}{\sqrt{5}}\)

Step-by-step explanation:

If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).

Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.

\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)

Therefore:

EF = 2√5FG = 4EG = 6

\(\hrulefill\)

To find cos G, use the cosine trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the hypotenuse is EG.

Therefore:

\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)

\(\hrulefill\)

To find csc E, use the cosecant trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle E, the hypotenuse is EG and the opposite side is FG.

Therefore:

\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)

\(\hrulefill\)

To find cot G, use the cotangent trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the opposite side is EF.

Therefore:

\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)

Right triangle EFG has its right angle at F, EG = 6 , and FG = 4 What is the value of the trigonometric

find the length please help

find the length please help

Answers

116 I hope that helps


Please someone help me (NO LINKS) (NO LYING)

Please someone help me (NO LINKS) (NO LYING)

Answers

Number one 42 cubes .

Answer: 1 = 9. 2 = 10. 3 = 8. 4 = 12. 5 = 10. 6 = 6.

Explaintion: All you need to do is take one of the horizontal rows and one of the vertical rows and multiply then.

Which relation is a function?

Which relation is a function?

Answers

The only graph that represents a function is: Graph D

How to identify a function?

A function is defined as a relationship or expression that involves one or more variables. It typically has a set of input and outputs.  Each input has only one output. The function is the description of how the inputs relate to the output.

A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule i.e., every X-value should be associated with only one y-value is called a function.

From the graphs, we can see that:

Graph A has 2 outputs at x = -2

Graph B has 2 outputs at x = 0

Graph C has two outputs at x = -1

Graph D has a unique output for every input and as such it is a function

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What are two pairs of opposite sides that are parallel and congruent?

Answers

Parallelogram have two pairs of opposite sides that are parallel and congruent.

In a parallelogram, two pairs of opposite sides are parallel and congruent. A parallelogram is a quadrilateral with opposite sides that are parallel and congruent. Therefore, any pair of opposite sides in a parallelogram satisfies the criteria of being both parallel and congruent.

For example, let's consider a parallelogram ABCD:

Side AB is parallel and congruent to side CD.Side AD is parallel and congruent to side BC.

These two pairs of opposite sides, AB and CD, and AD and BC, are parallel (they never intersect) and congruent (they have the same length).

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Approximate the area of the circle segment bounded by DE and arc DE if r =20 and theta=47°. Photo Attached

Approximate the area of the circle segment bounded by DE and arc DE if r =20 and theta=47. Photo Attached

Answers

Answer: 1256.63706

Step-by-step explanation: A=(π20)2

The approximate area of the circle segment bounded by arc DE and chord DE is approximately 17.72 square units.

To approximate the area of the circle segment bounded by arc DE and chord DE, you can use the following formula:

Area = (1/2) * r^2 * (θ - sinθ)

Where:

r is the radius of the circle (r = 20 in your case).

θ is the central angle in radians (47° converted to radians is approximately 0.8203 radians).

Let's calculate it:

θ = 47° * (π / 180) ≈ 0.8203 radians

Now, plug these values into the formula:

Area = (1/2) * (20^2) * (0.8203 - sin(0.8203))

Area ≈ (1/2) * 400 * (0.8203 - 0.7317)

Area ≈ (1/2) * 400 * 0.0886

Area ≈ 17.72 square units

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The volume of this cylinder is 2,813.44 cubic feet. Height is 14 feet. What is the radius?

Answers

Answer :

8 feet.

Given :

The volume of cylinder is 2,813.44 cubic feet.Height of the cylinder is 14 feet.

To Find :

The radius.

Solution :

We know,

\( \bf \longrightarrow \qquad \: \pi {r}^{2} h = \: Volume_{(cylinder)}\)

Where,

r is the radius of the cylinder.

h is the height of the cylinder.

Here, we will take the value of π as 3.14 approximately .

Substituting the values in the formula :

\( \sf \longrightarrow \qquad \: 3.14 \times {r}^{2} \times 14 = \: 2813.44\)

\(\sf \longrightarrow \qquad \: 43.96 \times {r}^{2} = \: 2813.44\)

\(\sf \longrightarrow \qquad \: {r}^{2} = \: \dfrac{ 2813.44}{43.96}\)

\(\sf \longrightarrow \qquad \ {r}^{2} = \: 64\)

\(\sf \longrightarrow \qquad \: {r} = \: \sqrt{64} \)

\(\pmb{ \bf{ \longrightarrow \qquad \: {r} = \: 8}}\)

Therefore,

The radius of the cylinder is 8 feet.

solve these problems for me and i will do a 100 point giveway

solve these problems for me and i will do a 100 point giveway
solve these problems for me and i will do a 100 point giveway

Answers

Answer:

1st page is 2

2nd page is -2

Step-by-step explanation:

3 x -4 = -12

-12 / -2 = 2

-6 / 3 = -2

negative time a negative is a positive and a positive times a negative is a positive

What is the answer to this

What is the answer to this

Answers

Answer:

x = - 1

Step-by-step explanation:

Given

- 5x - 16 = 9x + x - 1, that is

- 5x - 16 = 10x - 1 ( subtract 10x from both sides )

- 15x - 16 = - 1 ( add 16 to both sides )

- 15x = 15 ( divide both sides by - 15 )

x = - 1

A straight path from the edge of a circular pond to the center of the pond is 16 m long. What is the area of the pond, to the nearest hundredth of a square meter? Use 3.14 for π

Answers

Answer: 803.84 square meters

Step-by-step explanation:

The straight path from the edge of the circular pond to the center is the radius of the pond. Given that the length of this path is 16 m, the radius (r) of the pond is 16 m.

To find the area of the circular pond (A), you can use the formula:

A = π * r^2

Substitute the value of r and use 3.14 for π:

A = 3.14 * (16)^2

A = 3.14 * 256

A ≈ 803.84

So, the area of the pond is approximately 803.84 square meters, to the nearest hundredth of a square meter.

If the point (−1,3) is translated according to the rule (x,y)→(x+4,y−2), and then reflected across the x-axis, what are the coordinates of the final image?
A. (3,−1)
B. (3,1)
C. (−1,3)
D. (-3. -1)

btw the answer is A, because i took the assignment on gizmos this is just for people who need the answer :>

Answers

Answer:

hi

Step-by-step explanation:

rfshs hmm jtutq JK jehewyywgu

Answer:

<3

Explanation:

I guess me need it in future

The mean and standard deviation of a random sample of n measurements are equal to and ​, respectively. a. Find a ​% confidence interval for if n. b. Find a ​% confidence interval for if n. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient​ fixed?

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

\(33.55 <  \mu < 35.5\)

b

\(34.03 <  \mu < 34.969 \)

c

Generally the width at  n =  49 is mathematically represented as

   \(w =  2 *  E\)

    \(w =  2 *  0.952 \)

     \(w =  1.904 \)

Generally the width at  n =  196 is mathematically represented as

   \(w =  2 *  E\)

    \(w =  2 *  0.4687 \)

     \(w =  0.9374  \)

d

The correct option is E

Step-by-step explanation:

From the question we are told  that

   The sample mean is  \(\= x  =  34.5\)

    The standard deviation is  \(s =  3.4\)

Generally given that the confidence level is 95% then the level of significance is  

       \(\alpha = (100 -  95)\%\)

=>     \(\alpha = 0.05 \)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Considering question a

From the question  n  =  49

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{s }{\sqrt{n} }\)

=>   \(E = 1.96*  \frac{ 3.4 }{\sqrt{49} }\)

=>   \(E =  0.952 \)

Generally 95% confidence interval is mathematically represented as  

      \(\= x -E <  p <  \=x  +E\)

      \(34.5 -0.952 <  p < 34.5 + 0.952\)

=>    \(33.55 <  \mu < 35.5\)

Considering question b

From the question  n  =  196

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{s }{\sqrt{n} }\)

=>   \(E = 1.96*  \frac{ 3.4 }{\sqrt{196} }\)

=>   \(E =  0.4687 \)

Generally 95% confidence interval is mathematically represented as  

      \(\= x -E <  p <  \=x  +E\)

      \(34.5 -0.4687 <  p < 34.5 +0.4687\)

=>   \(34.03 <  \mu < 34.969 \)

Considering question c

Generally the width at  n =  49 is mathematically represented as

   \(w =  2 *  E\)

    \(w =  2 *  0.952 \)

     \(w =  1.904 \)

Generally the width at  n =  196 is mathematically represented as

   \(w =  2 *  E\)

    \(w =  2 *  0.4687 \)

     \(w =  0.9374  \)

Now when the sample size is quadrupled i.e from n = 49 to  n =  196  

The width of the  confidence interval  decrease by 2 from 1.904 to  0.9374  

The mean and standard deviation of a random sample of n measurements are equal to and , respectively.

Can someone please help

Can someone please help

Answers

Answer:

H

because a right angle's base is on the bottom

Step-by-step explanation:

sub to Pen Paper

Consider a tree T with n vertices, where n is an odd integer greater than or equal to 3. Let v be a vertex of T. Prove that there exists a vertex u in T such that the distance between u and v is at most (n-1)/2

Answers

There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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A local congressman must decide whether or not to vote for a bill to reduce the speed limit.
Supporters of the bill claim that the gas mileage improves at lower speeds! The congressman was given the data about the Toyota Camry gas usage - presented in the table below. (Picture Attached.)

Note: MPG stands for miles per gallon of gas.

IDENTIFY THE INDEPENDENT VARIABLE FIR THIS DATA AND WHY.

A local congressman must decide whether or not to vote for a bill to reduce the speed limit. Supporters

Answers

The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.

How to explain the variables

The dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.

The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.

The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.

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(a) Un ángulo mide 47°. ¿Cuál es la medida de su complemento?
(b) Un ángulo mide 149°. ¿Cuál es la medida de su suplemento?

Answers

El supplemento y el complemento de cada ángulo son, respectivamente:

Caso A: m ∠ A' = 43°

Caso B: m ∠ A' = 31°

¿Cómo determinar el complemento y el suplemento de un ángulo?

De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:

Ángulo y su complemento

m ∠ A + m ∠ A' = 90°

Ángulo y su suplemento

m ∠ A + m ∠ A' = 90°

Donde:

m ∠ A - Ángulom ∠ A' - Complemento / Suplemento.

Ahora procedemos a determinar cada ángulo faltante:

Caso A: Complemento

47° + m ∠ A' = 90°

m ∠ A' = 43°

Caso B: Suplemento

149° + m ∠ A' = 180°

m ∠ A' = 31°

Observación

El enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.

The statement is written in Spanish and its answer is written in the same language.

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Which is misleading about the data shown on the figure?
Number of members
Look at the photo

Which is misleading about the data shown on the figure?Number of membersLook at the photo

Answers

The misleading about the data shown on the figure is the clas width

Which is misleading about the data shown on the figure?

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

The histogram

On the histogram, we have the following readings

1 - 2021 - 3031 - 4546 - 65

From the above, we can see that

The above readings are not consistent i.e. the class widths are not equal

Hence, the misleading about the data shown on the figure is the clas width

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