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3 years ago

the dot plot shows the lengths of the 12 trailers sold at a store last month. Which statement about the data is true?

Mathematics

1 answer:

trasher [3.6K]3 years ago

5 0

*see attachment for the dot plot

OPTIONS:

A. The interquartile range is 7, and the range is 17.

B. The interquartile range is 7, and the range is 11.

C. The interquartile range is 2.75, and the range is 17.

D. The interquartile range is 2.75, and the range is 11.

Answer:

B. The interquartile range is 7, and the range is 11.

Step-by-step explanation:

From the dot plot display given in the attachment, we can find out the range and interquartile range of the data represented.

The range is the difference between the maximum value and the minimum value.

Min = 6

Max = 17

Range = 17 - 6 = 11

Interquartile range = Q3 - Q1

Q1 falls within the data value, 6.

Q3 falls within the data value 13.

Interquartile range = 13 - 6 = 7.

The statement that is true about the data represented is: "The interquartile range is 7, and the range is 11."

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Please help with these 3 questions

Sever21 [200]

Answer: x = 11

Step-by-step explanation:

2x+5 = 3x-6

2x-3x = -6-5

-x = -11

x = 11

Double-check:
11*2= 22 11*3=33

22+5 = 27 33-6= 27

4 0

2 years ago

Find the equation of the line that has slope of 7 and passes through the point (-9,2).

lawyer [7]

Answer:

y=7x+65

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-9,2) and has a slope of 7.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 7. So you can right away fill in the equation for a line somewhat to read:

y=7x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-9,2). When x of the line is -9, y of the line must be 2.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 7 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-9,2).

So, why not plug in for x the number -9 and for y the number 2? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-9,2). y=mx+b or 2=7 × -9+b, or solving for b: b=2-(7)(-9). b=65.

The equation of the line that passes through the point (-9,2) with a slope of 7

y=7x+65

Have a nice day!

5 0

2 years ago

Find KL and show work

MissTica

Answer:

<u>Secant</u>: a straight line that intersects a circle at two points.

<u>Intersecting Secants Theorem</u>

If two secant segments are drawn to the circle from one exterior point, the product of the measures of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part.

From inspection of the given diagram:

M = Exterior point
MK = secant segment and ML is its external part
MS = secant segment and MN is its external part

Therefore:

⇒ ML · MK = MN · MS

Given:

MK = (x + 15) + 6 = x + 21
ML = 6
MS = 7 + 11 = 18
MN = 7

Substituting the given values into the formula and solving for x:

⇒ ML · MK = MN · MS

⇒ 6(x + 21) = 7 · 18

⇒ 6x + 126 = 126

⇒ 6x = 0

⇒ x = 0

Substituting the found value of x into the expression for KL:

⇒ KL = x + 15

⇒ KL = 0 + 15

⇒ KL = 15

6 0

2 years ago

Read 2 more answers

What is the distance between (-3, 4) and (4, 4)

svetoff [14.1K]

Answer:

7 units

Step-by-step explanation:

$\sqrt{|-3-4|^{2}-|4-4|^{2}}$

3 0

3 years ago

Read 2 more answers

Kristen invested $1,800 in an account paying 6.5% simple interest. After 5 years, what is the balance of her account?

alekssr [168]

Answer: 2,385

Step-by-step explanation:

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2 years ago