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Leno4ka [110]
2 years ago
14

A data set is shown below. Which is the outlier? 56, 64, 73, 59, 98, 65, 59.

Mathematics
1 answer:
dlinn [17]2 years ago
8 0

Most of the numbers are in the 50’s and 60’s so the outlier would be 98

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The lines shown below are perpendicular. If the green line has a slop of 2/5, what is the slope of the red line?
aivan3 [116]

The slope of the red line that is perpendicular to the green line is: -5/2.

<h3>What are the Slope Values of Perpendicular Lines?</h3>

When one line lies perpendicular to another line, the slope of one must be the negative reciprocal of the other line.

<h3>What is the Negative Reciprocal of a Number?</h3>

If given a number, i.e. a/b, the negative reciprocal of a/b would the opposite value of the reciprocal of a/b.

Reciprocal of a/b is b/a. Negative reciprocal of a/b would therefore be: -b/a.

Given that the slope of the green line is: 2/5. And it is perpendicular to the red line. The slope of the red line would be the negative reciprocal of 2/5.

Negative reciprocal of 2/5 is -5/2.

Therefore, the slope of the red line is: -5/2.

Learn more about slope of perpendicular lines on:

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5 0
1 year ago
Which of the following nonlinear inequalities is graphed below
Rashid [163]

Answer:

(x²/4) + (y²/16) ≤ 1

Step-by-step explanation:

The general form of the ellipse in the graph is

x²/4 + y²/16 = 1

we want to find the inequality which represents the shaded area this will determine whether which of the following 2 choices are correct

Choice 1: x²/4 + y²/16 ≥ 1

Choice 2: x²/4 + y²/16 ≤ 1

we note that point (0,0) lies inside the shaded area. Which means if we substitute (0,0), it should create an equality that is valid.

try choice 1: 0²/4 + 0²/16  = 0 ≥ 1 (not valid because obviously zero is smaller than 1)  

try choice 1: 0²/4 + 0²/16  = 0 ≤ 1 (this is valid, hence choice 2  is the answer)

4 0
3 years ago
5 x 3 x 2 +3/0 -45/3+1 =
Norma-Jean [14]

5 \times 3 \times 2 +  \frac{3}{0}  -  \frac{45}{3}  + 1 =  \\  \\  =  \frac{3}{0} \\  \\ or \\  \\ 1. \: 30 +  \frac{3}{0}   -  \frac{45}{3}  + 1 \\ 2. \: 30 +  \infty  -  \frac{45}{3}  + 1 \\ 3. \: 30 +  \infty  - 15 + 1 \\ 4. \:  \infty

Yeah it's Impossible

4 0
3 years ago
Read 2 more answers
Find the value of 5(a-4b) when a =-7 and b=1/4
tatiyna

Answer:

- 40

Step-by-step explanation:

5(a - 4b) \\  = 5 \bigg(- 7 - 4 \times \frac{1}{4} \bigg ) \\ = 5 \bigg(- 7 - 1 \bigg ) \\  = 5 \times ( - 8) \\  =  - 40

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