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3 years ago

How many solutions exist for the given equation? 3x + 13 = 3(x + 6) + 1

2 answers:

5 0

The solution is untrue the reasoning being when the equation is simplified into
3x + 13 = 3x + 19

You would have to take 13 over the equals sign and the 3x on the rhs too, which will make the equation
3x - 3x = 19 - 13
0 = 6
Which is totally incorrect

Deffense [45]3 years ago

4 0

Answer:

There is no solutions to this problem.

Because when you solve it you get an untrue statement. When this happens, it means that there is nothing that can make it true.

Explanation:

3x + 13 = 3(x + 6) + 1 use distribute property

3x + 13 = 3x + 18 + 1 combine like terms

3x + 13 = 3x + 19 subtract 3x from both sides

13 = 19

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The following table shows the number of hours some high school students in two towns spend riding the bus each week:

sergeinik [125]

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Part B. No, they are assymetric.

Explanation: To find the interquatile range (IQR) of each set of data, you can do as follows:

1) Put the number in each set of data in order:

A: 3 4 5 5 6 7 8 9 9 20

B: 3 3 5 5 6 8 8 9 9

2) Find the median of each town data:

For A, the median is the number 6. Coincidently, the same can be said for town B: its median is 6.

3) Find Q1, which is the median (or the middle term) of the left side of the median:

A: 3 4 5 5 (set of numbers to calculate)

B: 3 3 5 5

Now, as both set of number are even, to find the median, we have to calculate the mean of the two central numbers:

For A: Q1 = $\frac{4+5}{2}$ = 4.5

For B: Q1 = $\frac{3+5}{2}$ = 4

4) Find Q3, which is the median of the right side of the first median:

A: 7 9 9 20 (set of numbers to calculate)

B: 8 8 9 9

As before, the median will be the mean:

For A: Q3 = $\frac{9+9}{2}$ = 9

For B: Q3 = $\frac{8+9}{2}$ = 8.5

5) The IQR is the result of a subtraction:

IQR = Q3 - Q1

For A: IQR = 4.5

For B: IQR = 4.5

For the two sets of data the IQR is the same and equals 4.5.

Part B: Box plot is a type of graphic, similar to histogram. To plot it, you need 5 points but for this question, it will be analised just the symmetric aspect. As the graphic is a retangule, to be symmetric, the median or mean has to be in the center of the retangule. In the case of the towns, the box plots are assymetric because the median of each town is closer to the Q1 of each town. In other words, the retangule is not "divided" exactly in half.

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Answer:

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3 years ago

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