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Scrat [10]
3 years ago
11

9.Set R= {a, b, c}. Find the number of subsets in set R.(4 Points)​

Mathematics
1 answer:
fredd [130]3 years ago
7 0

Given:

The set is:

R=\{a,b,c\}

To find:

The number of subsets in set R.

Solution:

Formula for number of subsets in a set of n elements is

Number of subsets = 2^n             ...(i)

We have,

R=\{a,b,c\}

Here, the number of elements are 3. Putting n=3 in (i), we get

Number of subsets = 2^3

                                = 8

Therefore, the number of subsets is 8 and the subsets are \phi,\{a\},\{b\},\{c\},\{a,b\},\{a,c\},\{b,c\} and \{a, b, c\}.

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There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the
expeople1 [14]

The probability that one of each color is selected is \frac{10x - x^2}{45}

<h3>Probabilities</h3>

The probability of an event is the chances of the said event

The given parameters are:

  • Total  = 10
  • Red = x
  • Blue = 10 - x

<h3>Calculating the required probability</h3>

The probability that one of each color is selected is calculated as follows:

P = P(Blue) \times P(Red) + P(Red) \times P(Blue)

So, we have:

P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}

This gives

P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}

Take LCM

P = \frac{2x(10 - x)}{90}

Simplify the above expression

P = \frac{x(10 - x)}{45}

Expand

P = \frac{10x - x^2}{45}

Hence, the probability that one of each color is selected is P = \frac{10x - x^2}{45}

Read more about probabilities at:

brainly.com/question/7965468

4 0
3 years ago
How can you prove a triangle is an equilateral triangle?
Jlenok [28]
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5 0
3 years ago
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What is the volume of the prism ???
Wittaler [7]
Volume of a prism is V=Bh
4 0
3 years ago
What is the product
Talja [164]

Answer:

6  12  2

0  0  0

0  6  2

Step-by-step explanation:

multiply each single number in each row with the number in the same row but across the multiplication symbol.

3 x 2 = 6

6 x 2 = 12

etc

6 0
4 years ago
PLEASE HELP For a particular​ transformer, the voltage E in the circuits is related to the number of windings W of wire around t
Masja [62]

Answer:

A voltage of 760V will be produced by 19 windings.

Step-by-step explanation:

Given the equation:

E = 40W

Where E is the Voltage in the circuits

and W is the number of windings

<u>Given</u> that E = 760V

<u>To find:</u> W = ?

<u>Solution:</u> Here, we have the given equation in 2 variables where value of 1 variable is given so other can be easily calculated by putting the value of given variable in the equation.

So, Putting the value of E in the given formula and finding W, the number of windings:

760=40 \times W\\\Rightarrow W = \dfrac{760}{40}\\\Rightarrow W = \dfrac{76}{4}\\\Rightarrow W = 19

So, number of windings for a voltage E = 760V is 19.

A voltage of 760V will be produced by 19 windings.

5 0
3 years ago
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