The data set represents the number of miles Mary jogged each day for the past nine days. 6, 7, 5, 0, 6, 12, 8, 6, 9 What is the outlier?

Answers

Answer 1

Answer: the outlier is 0 because it is the only non-positive number

Answer 2

Answer:

Your answer for this question is 0

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A furniture maker uses the specification 19.88 ≤ w ≤ 20.12 for the width w in inches of a desk drawer. Write the specification as an absolute value inequality.

Answers

A furniture maker uses the specification 19.88 ≤ w ≤ 20.12

The absolute value inequality is

$|x-20|\leq 0.12$

Given :

A furniture maker uses the specification 19.88 ≤ w ≤ 20.12 for the width w in inches of a desk drawer

We need to write the given inequality in absolute value inequality

if $a-b<x<a+b$ then absolute value inequality is

$|x-a|< b$

To find out value of 'a' and 'b' we need to use the given inequality

compare a-b<x<a+b with given inequality

$a-b=19.88\na+b=20.12$

Solve for 'a' and 'b'

Add both equations

$2a=40\na=20$

Now find out b

$a+b=20.12\n20+b=20.12\nb=20.12-20\nb=0.12$

The required absolute value inequality is

$|x-a|\leq b\n|x-20|\leq 0.12$

Learn more : brainly.com/question/1770168

The correct answer is:

|w-20| ≤ 0.12.

Explanation:

We first find the average of the two ends of the inequality:

(19.88+20.12)/2 = 40/2 = 20

This will be the number subtracted from w in the inequality.

Now we find the difference between this value and the ends:

20-19.88 = 0.12

20.12 - 20 = 0.12

This will be what our absolute value inequality ends with; the "answer" part, so to speak.

Since this inequality is written in compact form, it must be an "and" inequality; this means the absolute value inequality must be a "less than or equal to."

This gives us

|w-20| ≤ 0.12

Each equation given below describes a parabola. Which statement best compares their graphs? y = -3x2 y= -7x2

A. Both parabolas open downward, and y = -7x2 is wider than y = -3x2.
B. Both parabolas open downward, and y = -3x2 is wider than y = -7x2.
C. Both parabolas open to the left, and y = -3x2 is wider than y = -7x2.
D. Both parabolas open to the left, and y = -7x2 is wider than y = -3x2.

Answers

Answer: The correct statement is (B). Both parabolas open downward, and $y=-3x^2$ is wider than $y=-7x^2.$

Step-by-step explanation: The equations of the two parabolas are as follows:

$y=-3x^2~~~~~~~~~~~~~(i)\ny=-7x^2~~~~~~~~~~~~~(ii)$

The standard equation of a parabola is given by

$y=a(x-h)^2+k.$

If a < 0, then the parabola open downwards and if a > 0, then the parabola open upwards.

From equation (i), we have

$y=-3x^2\n\n\Rightarrow y=-3(x-0)^2+0,$

so a = -3 < 0, so the parabola (i) open downwards.

From equation (ii), we have

$y=-7x^2\n\n\Rightarrow y=-7(x-0)^2+0,$

so a = -7 < 0, so the parabola (ii) open upwards.

Also, since -3 > -7, so the parabola (i) is wider than the parabola (ii).

Therefore, both parabolas open downward, and $y=-3x^2$ is wider than $y=-7x^2.$

The graphs of the parabolas are shown in the attached figure.

Thus, (B) is the correct ption.

The answer would be B. Both parabolas open downward, and y = -3x2 is wider than y = -7x2.

PLEASE HELP ME !! PLEASE !!

Answers

i think that it is a ok

Find the student’s error in solving the following inequality.2 < –3x –4 < 5
6 < –3x < 5
–2 > x > –5/3

a.The student should have added 4 to all parts (left, middle, and right) to get 6 < –3x < 9.

b.The student divided 6/–3 incorrectly.

c.The student should not have switched the direction of the sign in the final step.

Answers

The second step is wrong because he did not add 4 to the number 5. Then the correct option is A.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The solution to inequality is given below.

Step 1 ⇒ 2 < –3x –4 < 5

Step 2 ⇒ 6 < –3x < 5

Step 3 ⇒ –2 > x > –5/3

The student should have added 4 to all parts (left, middle, and right) to get 6 < –3x < 9.

The second step is wrong because he did not add 4 to the number 5. Then the correct option is A.

More about the inequality link is given below.

brainly.com/question/19491153

#SPJ2

the answer is a, the students should have added 4 to all parts

Which of the following is a rational number?
v1, v2, v3, v5

Answers

Answer:

Step-by-step explanation:

Is a square a cross section of a rectangular and triangular prism?

Answers

Answer:

No, a square is NOT the cross section of a rectangular and triangular prism.

Step-by-step explanation:

Prisms have a uniform cross-section and are named after their cross-section. Hence, the cross-section of a rectangular prism is a rectangle and the cross-section of a triangular prism is a triangle. The only prism with a square cross-section is a cube.

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