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3 years ago

What is absolute value?

Mathematics

2 answers:

pochemuha3 years ago

8 0

Answer:

Absolute value means the distance between a number and 0.

Examples:

The absolute value of -7 is 7.

The absolute value of 5 is 5.

Key Concepts:

The absolute value sign is |x|, where x is any real number.

The absolute value removes any negative sign in front of a number.

Natasha_Volkova [10]3 years ago

6 0

Absolute value is an important math concept to understand. To represent the absolute value of a number, we use a vertical bar on either side of the number. Absolute value means "distance from zero" on a number line. Let's try an example to understand how absolute value works.

What is the absolute value of 4 and -4?

To find the absolute value of 4, we know that 4 is 4 units from zero on a number line. Therefore, the absolute value of 4 is 4.

For the absolute value of -4, we know that -4 is also 4 units from zero on the number line. Therefore, the absolute value of -4 is also 4.

Another way that I like to think about absolute value is no matter what number you have inside the absolute value, the result will always be positive. In other words, the absolute value of any number is the positive version of that number.

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Sam Long anticipates he will need approximately $227,300 in 14 years to cover his 3-year-old daughter's college bills for a 4-ye

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Answer:

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Step-by-step explanation:

4 0

3 years ago

Last month, Stephen neighbors paid him to take care of their fish when they went on vacation. HeHe spent $5 of his earnings on

Ira Lisetskai [31]

Answer:

Stephen's neighbors paid Stephen no more that $28.

Step-by-step explanation:

Given:

Stephen spent $5 of his earnings on snack.

He spent $17 in a new book.

He is left with no more than $6 left.

To describe how much Stephen's neighbors paid him.

Solution:

Let Stephen's earnings in dollars be = $x$

Amount left after spending on snacks in dollars = $x-5$

Amount left after spending on a new book in dollars = $x-5-17$ = $x-22$

The amount remaining is no more than $6.

Thus, the inequality representing the situation can be given as:

$x-22\leq6$

Solving for $x$

Adding 22 both sides.

$x-22+22\leq6+22$

$x\leq 28$

Thus, Stephen's neighbors paid Stephen no more that $28.

3 0

2 years ago

A research team conducted a study showing that approximately 20% of all businessmen who wear ties wear them so tightly that they

ch4aika [34]

The probabilities that the at least one tie is too tight is 0.878 and more than two ties are too tight is 0.323 and none are too tight is 0.122 and at least 18 are NOT too tight is 0.67.

According to the statement

We have given that the in a survey showing that the approximately 20% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain.

And we have to find the probability on the some given conditions.

So, For this purpose, we know that the

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.

Now,

A. Here n = 20, P = 0.1, And X ≥ 1. Then

The probability that at least one tie is too tight P(≥ 1) = 1 - P(0)

P(≥ 1) = 1 - 0.12

P(≥ 1) = 0.878.

And

B. Here P(≤2) = 0.67 Then

The probability that more than two ties are too tight P(≥ 3) = 1 - P(≤2)

P(≥ 3) = 1 - 0.67

P(≥ 3) = 0.323

And

C. The probability that none are too tight P(0) = 0.122.

And

D. Here n =20, P = 0.1 and X≤2

The probability that at least 18 are NOT too tight P(X≤2) = 0.67.

So, The probabilities that the at least one tie is too tight is 0.878 and more than two ties are too tight is 0.323 and none are too tight is 0.122 and at least 18 are NOT too tight is 0.67.

Learn more about probabilities here

brainly.com/question/24756209

Disclaimer: This question was incomplete. Please find the full content below.

Question:

A research team conducted a study showing that approximately 20% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain, diminishing cerebral functions. At a board meeting of 15 businessmen, all of whom wear ties, what are the following probabilities

A. What is the probability that at least one tie is too tight?

B. What is the probability that more than two ties are too tight?

C. What is the probability that none are too tight?

D. What is the probability that at least 18 are NOT too tight?

#SPJ4

4 0

1 year ago

Consider the line which passes through the point P(−1,-3,5), and which is parallel to the line x=1+7t, y=2+2t, z=3+4t Find the p

bija089 [108]

The given line is parameterized by

x(t) = 1 + 7t

y(t) = 2 + 2t

z(t) = 3 + 4t

and points in the same direction as the vector

d/dt (x(t), y(t), z(t)) = (7, 2, 4)

So, the line we want has parameteric equations

x(t) = -1 + 7t

y(t) = -3 + 2t

z(t) = 5 + 4t

Solve for t when one of x, y, or z is equal to 0 - this will tell you for which value of t the line cross a given plane. Then determine the other coordinates of these intersections.

• x = 0, which corresponds to the y-z plane:

0 = -1 + 7t ⇒ 7t = 1 ⇒ t = 1/7

y(1/7) = -3 + 2/7 = -19/7

z(1/7) = 5 + 4/7 = 39/7

⇒ intersection = (0, -19/7, 39/7)

• y = 0 (x-z plane):

0 = -3 + 2t ⇒ 2t = 3 ⇒ t = 3/2

x(3/2) = -1 + 21/2 = 19/2

z(3/2) = 5 + 12/2 = 11

⇒ intersection = (19/2, 0, 11)

• z = 0 (x-y plane):

0 = 5 + 4t ⇒ 4t = -5 ⇒ t = -5/4

x(-5/4) = -1 - 35/4 = -39/4

y(-5/4) = -3 - 10/4 = -11/2

⇒ intersection = (-39/4, -11/2, 0)

8 0

2 years ago

Prove: an odd number squared is an odd number

densk [106]

Answer:

2(2n² + 2n) + 1

Step-by-step explanation:

(2n + 1)² can also written as

(2n + 1) × (2n + 1)

= 4n² + 2n + 2n + 1

= 4n² + 4n + 1

= 2(2n² + 2n) + 1

= an odd

Hence Proved!

<u>-TheUnknownScientist</u><u> 72</u>

3 0

2 years ago

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