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3 years ago

The table lists the results from a survey (of questionable accuracy) of adults and how much they spend on a night out.

Mathematics

2 answers:

BigorU [14]3 years ago

7 0

The <em>correct answer</em> is:

The correct scatter plot is attached.

There appears to be a negative correlation between a person's age and the amount they spend on a night out.

Explanation:

Age will be the independent variable, along the x-axis, and the cost of a night out will be the dependent variable, along the y-axis.

The ages range from a low of 20 to a high of 45. We will start our graph at 0 and use a scale of 5s along the x-axis, going to 45.

The amounts for a night out range from a low of 38 to a high of 58. We will start our graph at 0 and use a scale of 5s along the x-axis, going to 60.

We then plot each point as a coordinate of (age, amount spent).

Once we get the graph plotted, we see there is a negative trend in the data. As the age increases, the amount spent out decreases.

daser333 [38]3 years ago

3 0

You are going to make a graph. The x-axis will represent age while the y-axis represents the amount of money spent on a night out. Graph the ordered pairs, making a scatter plot. Once you have all of the points on the graph, answer the question by saying something like "the older someone is, the less money they spend on a night out" but make sure it's accurate. (:

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jenyasd209 [6]

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3 years ago

The total cost after tax to repair Kimber's cracked phone screen is represented by 0.04(30h) + 30h, where h represents the numbe

PSYCHO15rus [73]

In this equation there are few key numbers, thankfully XD, so it does not take too long to figure out that the 0.04 is clearly a tax on the repairs as 30h is representing the hours spent repairing Kimber's phone.

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3 years ago

The area of a rectangular wall of a barn is 96 square feet. Its length is 10 feet longer than the width. Find the length and wid

Bad White [126]

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${x}^{2} + 10x - 96 = 0$
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3 years ago

There is another way to rank the difficulty of test questions using Networks: Each student gives scores for each problem, then w

Vlad [161]

Answer:

Step-by-step explanation:

Truly, on a single student level, the Massey method can be applied i.e. problems are ranked according to their level of difficulty for a single student.

Let us say there are 4 problems P1, P2, P3, P4 set in an exam where a student has to solve any two.

Assuming student 1 solves and scores more in P1 than in P2, r1>r2

student 2 more in P1 than P4 r1>r4

student 3 more in P2 than P4 r2>r4

student 4 more in P4 than P3 r4>r3

student 5 more in P2 than P3 r2>r3

and such many more cases.

then the Massey's model can be written as

P1 P2 P3 P4

\begin{bmatrix} 1 &-1 &0 &0\\ 1 &-1 &0 &0 \\ 0 &1 & 0 &-1 \\ 0 & 0 &-1 & 1 \\ 0 & 1 & -1 & 0 \end{bmatrix}.

\times \begin{bmatrix}r1 \\r2 \\r3 \\r4 \end{bmatrix} =

\begin{bmatrix}y_{1} \\ y_{2} \\ y_{3} \\ y_{4}\\ y_{5}\end{bmatrix}.

If Pi gives more score than Pj, the entry below Pi shall be 1 and below Pj shall be -1.

The rest of the entries shall be 0.

r1,r2,r3,r4,r5 are ranks .

There may be more rows depending upon more combination of 2 problems.

Should in case more than one student solve the same combination and get scores in the same order, for instance, 12 students solve P1 and P2, for 7 of them r1>r2, then their scores can be averaged.

Normally, such systems are overdetermined, i.e., more rows than the number of unknowns, then it is solved by the Least square method ., as there shall be no a solution with least error is found out.

The overall ranking, in reverse order, shall give the ranking according to increasing difficulty.

7 0

4 years ago

It takes leon 13 hours to seal his driveway working by hinself. If michael helps leon, they can seal the driveway in 7 hours. Ho

Monica [59]

Answer:

15.1667 hours (15 hours and 10 minutes)

Step-by-step explanation:

Using the concept of "distance = speed * time", we can formulate equations to solve this problem.

Let's call Leon's speed X, Michael's speed Y and the length of the driveway D.

If leon takes 13 hours alone, we can write the equation:

D = X * 13

If Michael helps Leon, we have this equation:

D = (X+Y) * 7

(The total speed is the sum of their speed, as they are working together)

Making the first equation equate the second, we have:

13*X = 7*X + 7*Y

7*Y = 6*X

X = (7/6)*Y

If we use this value of X in the first equation, we have:

D = 13*X = 13*(7/6)*Y = 15.1667*Y

So we have that Michael would take 15.1667 hours (15 hours and 10 minutes) to seal the driveway alone.

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3 years ago