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stealth61 [152]
4 years ago
11

What is the equation of a line that is perpendicular to the line that goes through the points (0, -3) and (-3, 12)?

Mathematics
1 answer:
Schach [20]4 years ago
3 0
Hello,

Slope of the line passing through the points:
m=(12+3)(-3-0)=-5
Slope of the perpendicular: 1/5

==> Answer D.
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In your own words, describe to someone who knows only a little statistics how to recognize when an observation is an outlier. Wh
erik [133]

Answer:

B)

Step-by-step explanation:

In statistics, an outlier is a data point that differs significantly from other observations.

This can happen because of different reasons: it may be due to variability in the measurement or it may indicate an actual experimental error. If it is an actual experimental error then it  can create problems when doing the statistical analysis.

A) We can say that this is true, the outliers are observed values far from the other data, however we can make a much deeper analysis of this.

B) This is the right answer, since we don't know what is really causing the outlier, we need to take a closer look to see if they are just mistakes (and therefore be removed). If they are not mistakes we need to do the analysis with and without them to reach correct conclusions.

C) this is wrong because although the part of the histogram is true. It is not true that they should be ignored.

d) The outliers differ significantly from the other data but this doesn't make them the minimum and maximum values in a data set and therefore they should not be treated as such.

Therefore, the correct answer is B)

3 0
3 years ago
Solve for y in terms of x. 2/3 y - 4 = x
Nastasia [14]

Answer:

y = 3/2x + 6

Step-by-step explanation:

2/3 y - 4 = x

2/3y = x + 4

y = 3/2 * (x + 4)

y = 3/2x + 6

3 0
3 years ago
Read 2 more answers
The rectangular rug in Marcia's living room measures 12 feet by 109 inches. What is the rug's area in square feet?
Marrrta [24]

Answer:

109 square feet.

Step-by-step explanation:

109 in: = 109/12 = 9.0833333.... = 9 5/60 = (540+5)/60 = 545/60

Area = L*w

L = 545/60 feet

W = 12 feet

Area = 545/60 *  12

Area = 545*12/60

Area = 545 /5 = 109 square feet.  

3 0
3 years ago
In 5 years' time, Kate's father will be 3 times as old as Kate. Four years ago, her father
Brut [27]

Answer: Kate = 40/3  Her father = 50

Step-by-step explanation:

Let Kate's age in the present be K

And Kate's father's age in the present be F

3(K+5) = F+5

6(K-6) = F-6

Rearrange the first equation to get

3K+15 = F+5

3K+10 = F

Substitute that into the second question

6K-36 = 3K+10-6

3K = 40

K = 40/3

So F = 3*40/3+10 = 50

8 0
3 years ago
if $38 is invested at a simple interest rate of 2% per year, what would the total account balance be after forty years?
Debora [2.8K]

The answer is$30.40

I=P×R×T

I=38×.02×40

I=30.40

6 0
3 years ago
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