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4 years ago

What is the solution, if any, to the inequality |3x|≥0?

Mathematics

2 answers:

IrinaK [193]4 years ago

7 0

Answer:

Infinitely many solutions

Step-by-step explanation:

Any value of x will make this inequality true, hence there are infinitely many solutions. Another way to say this is True for all x on the interval [-infinite,+infinite]

The reason this is true, is because all values of an absolute value will be greater than or equal to 0.

Cheers.

Sav [38]4 years ago

5 0

That's weird !

X is ANY NUMBER !

-∞ ≤ X ≤ ∞

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A real estate agent has surveyed houses in twenty nearby zip codes in an attempt to put together a comparison for a new property

gladu [14]

Answer:

A a house in that market that sells for $300,000 is unusual.

Step-by-step explanation:

Let the random variable X denote the price of a house and the random variable Y denote the living area of a house.

The number of houses surveyed by the real estate agent is, n = 1057.

Assume that both the random variables, X and Y are approximately normally distributed.

That is,

$X\sim N(\$169400,\ \$68438)\\\\Y\sim N(2058\ \text{sq. ft.},\ 790\ \text{sq. ft.})$

To compute the probability of a Normal distribution we first need to convert the raw scores to z-scores.

$z=\frac{\text{Raw score}-\mu}{\sigma}$

A z-score higher than 1.96 and lower than -1.96 are considered unusual. The values having these z-scores are considered as outliers.

(1)

Compute the z-score for X = 300000 as follows:

$z=\frac{X-\mu}{\sigma}\\\\=\frac{300000-169400}{68438}\\\\=2.70$

(2)

Compute the z-score for Y = 3000 as follows:

$z=\frac{Y-\mu}{\sigma}\\\\=\frac{3000-2058}{790}\\\\=1.19$

The z-score for a house in that market that sells for $300,000 is more than 1.96.

This implies, that the price $300,000 is unusually high.

The complete statement is:

The house that sells for $300 comma 000 has a z-score of 2.70 and the house with 3000 sq ft has a z-score of 1.19.

5 0

3 years ago

Pru, Piper, and Phoebe share apples in the ratio 5:3:4. If Pru has 24 more apples than Piper, how many apples does Phoebe have?

CaHeK987 [17]

Pru and Piper have apples is ratio 5:3 Let No. of apples with Pru = 5a and no. of apples with Piper = 3a and no. of apples with Phoebe = 4a 5a - 3a = 24 2a = 24 a=12 No. of apples with Phoebe = 4x12=48 Hence Phoebe has 48 apples.

3 0

3 years ago

Find the area to this question

inna [77]

Answer:

Question 5:- Answer : 26.79 $in^{2}$

Question 6:- Answer : 120 $in^{2}$

Step-by-step explanation:

Area of parallelogram =base*height

7 0

3 years ago

Find the missing length. The triangles are similar.

olga55 [171]

Answer:

Step-by-step explanation:

The ratio of the triangles is 12:15 which is equal to 4:5

Then you can use that ratio to find the ?

35 would be the 5 so 4 would be multiplyed by 7

Which is equal to 28

6 0

3 years ago

an ice cream cone has a height of 16 cm and a diameter of 4 centimeters what is the volume of ice cream that can be contained wi

Iteru [2.4K]

Answer:

67.014

Step-by-step explanation:

V = π r^2 (h/3)

(Volume equals pi r squared, h over 3)

Diameter is 4, so the radius is half of that = 2

Plug in the numbers

V = π (2^2) (16/3)

V = π (4) (5.333)

V = 3.14 x 4 = 12.566

V = 12.566 x 5.333

V = 67.014

8 0

3 years ago