All categories

3 years ago

Find (a) the number of subsets and (b) the number of proper subsets of the set.

Mathematics

1 answer:

vaieri [72.5K]3 years ago

3 0

Answer:

(a) Total No. of Subsets = 128

(b) Total No. of Proper Subsets = 127

Step-by-step explanation:

First we need to define the set of days of the week.

Set of Days of Week = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

It is evident from the set of days of the week, that it contains 7 elements.

(a)

The total no. of subsets of a given set is given by the following formula:

Total No. of Subsets = 2^n

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Subsets = 2^n

Total No. of Subsets = 2^7

Total No. of Subsets = 128

(b)

The total no. of proper subsets of a given set is given by the following formula:

Total No. of Proper Subsets = (2^n) - 1

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Proper Subsets = (2^n) - 1

Total No. of Proper Subsets = (2^7) - 1 = 128 - 1

Total No. of Proper Subsets = 127

You might be interested in

Determine if the function is linear or nonlinear . EXPLAIN

nordsb [41]

Answer:

it is not linear

Step-by-step explanation:

Linear function means that same increments in x yield uniform increments in y.

First 2 lines: x grows from -5 to 0, so increment in x is 5. For said interval, y grows from 3 to 7, so increment in y is 4.

Then, x grows from 0 to 5, so increment in x is again 5. Now, for the same increase of x, y grows from 7 to 10, so increment now in y is 3.

In the first "5" interval of x, y grew 4, and in the second "5" interval of x y grew 3 ⇒ it is not linear.

The function would have been linear, if last y value had been 11.

5 0

2 years ago

Find the area of the right triangle. If necessary, round to the nearest tenth.

Ne4ueva [31]

Answer:

B - 150 yd

Step-by-step explanation:

Obviously the first step is to find the missing measurement. To do this, you use the Pythagorean theorem; a² + b² = c².

In this case, let's label the the missing side A, the height B, and the hypotenuse C.

X² + 15² = 25²

Then you must figure out what 15² and 25².

15² = 225

25² = 625

The next step is to subtract 15² (225) from 25² (625), which will give you the result of X².

625 - 225 = 400. 

Now you know X² = 400, you can find the square root of 400 to give you the length of the triangle.

√400 = 20.

The missing length of the triangle is 20 yards.

Now it's just a matter of finding the area by using the formula;

A = $\frac{bh}{2}$

Or,

(20 × 15) ÷ 2 = 150.

And there's your answer. Don't forget to add the units.

<h2>Hope this helped.</h2>

8 0

2 years ago

thomas has 6.35 in dimes and quarters the number of dimes is three more than three times the number of quarters how many quarts

Feliz [49]

Answer:

11 quarters

Step-by-step explanation:

If Thomas ignores the extra 3 dimes, he can arrange his coins in groups of 3 dimes and 1 quarter, each group valued at 55¢. It takes

... 6.05/0.55 = 11

groups to bring the total value to the $6.05 remaining after ignoring the extra dimes.

Thomas has 11 quarters and 36 dimes.

6 0

3 years ago

Can someone help me on this with the steps? thanks!

soldi70 [24.7K]

Answer:

8h + 15 = 39

Step-by-step explanation:

The base fee is 15 so you shouldn't multiply the hours by it.

The question states 8 per hour which means that you should multiply the 8 by hours and add on the base fee which is 15.

8 0

3 years ago

Read 2 more answers

an ostrich egg weighs 2.9 pounds.The difference between the weight of this egg and the weight of an emu egg is 1.6 pounds.write

Alex73 [517]

Answer:

$2.9-w=1.6$

Step-by-step explanation:

Let w be weight of emu egg in pounds.

We have been given that an ostrich egg weighs 2.9 pounds.The difference between the weight of this egg and the weight of an emu egg is 1.6 pounds.

We can represent this information as:

$2.9-w=1.6$

Therefore, the equation $2.9-w=1.6$ will give us the weight of the emu egg, w, in pounds.

8 0

3 years ago

Read 2 more answers