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kvasek [131]
2 years ago
12

Use prime factorization to reduce the fraction 36/180

Mathematics
1 answer:
laila [671]2 years ago
5 0

Answer:

Step-by-step explanation:

36 = 6* 6 = 2* 3 * 2* 3 = 2*2*3*3

180 = 2 * 2 * 3 * 3 * 5 = 2 * 2 * 3*3*5

\frac{36}{180}= \frac{2*2*3*3}{2*2*3*3*5} =  \frac{1}{5}

Factors that are common will be cancelled

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3 years ago
Describe each of the following values as (A) a discrete random variable, (B) a continuous random variable, or (C) not a random v
Lyrx [107]

Answer:

(1) B

(2) A

(3) C

Step-by-step explanation:

A random variable is a variable that denotes a set of all the possible outcomes of a random experiment. It is denotes by a single capital letter such as X or Y.

There are two types of random variables.

  • Discrete random variable: These type of random variable takes finite number of values, such as 0, 1, 2, 3, 4, ... For example, number of girl child in a neighborhood.
  • Continuous random variable: These type of random variables takes infinite number of possible values. For example, the height, weight.

(1)

Exact weight of quarters now in circulation in the United States.

The variable weight is a continuous variable.

Thus, the exact weight of quarters now in circulation in the United States is a continuous random variable.

(2)

Shoe sizes of humans.

The shoe size of a person are discrete and finite values.

Thus, the shoe sizes of humans are discrete random variables.

(3)

Political party affiliations of adults in the United States.

This variable is not a quantitative variable.

It is a qualitative variable.

Thus, the political party affiliations of adults in the United States is no random variable.

3 0
3 years ago
Find the area of a triangle with a base (b) of 7 feet and a height (h) of 12 feet.
siniylev [52]

Answer:


Step-by-step explanation:

Area = 1/2 × base × height

Base(b) = 7 feet

Height(h) = 12 feet

Area = 1/2 × 7 × 12 = 7 × 6 = 42 feet²

6 0
3 years ago
Show that x³ + y³ + z³ - 3xyz is a multiple of x+y+z
White raven [17]

x³ + y³ + z³ - 3xyz is a multiple of x+y+z.

<h3>What is a multiple?</h3>

It should be noted that a multiple simply means a number that van be divided by another a certain number if times without a remainder.

Put x + y + z = 0

= x³ + y³ + z³ - 3xyx

= 0(x² + y² + z² - xt - yz - zx)

= x³ + y³ + z³ - 3xyz = 0.

x³ + y³ + z³ = 3xyz

Learn more about multiples on:

brainly.com/question/251701

#SPJ1

7 0
2 years ago
D₁ vide using x² - 2x² 2× +3× -5 by ×-3 using synthetic division. <br>​
Vaselesa [24]

Answer:

Step-by-step explanation:

I think you are trying to use synthetic division for

x^{4} -2x^{3} -2x^{2} +3x-5 divided by x-3

First  

x -3 = 0 , make it equal to 0 and add 3 to both sides

x = 3

Then we write all the coefficients and continue with

a pattern of multiply by 3 and add to the next coefficient.

See attachment.

5 0
1 year ago
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