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Nadya [2.5K]
3 years ago
10

How many sunsets of at least one element does a set of six elements have

Mathematics
1 answer:
Lesechka [4]3 years ago
7 0

Answer:

63

Step-by-step explanation:

Given:

a set of six elements  

The solution would be like this for this specific problem:

number of subsets of n elements = 2^n

(2^6) - 1

= 64 – 1

= 63

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How many 1/ 4-inch cubes does it take to fill a box with width 2 1/ 4 inches, length 2 1/ 2 inches, and height 1 3/ 4 inches?
lys-0071 [83]

Answer:

630.

Step-by-step explanation:

<u>Given the following data;</u>

Dimensions for cube = ¼ inches

Volume \; of \; cube = \frac {1}{4} * \frac {1}{4} * \frac {1}{4}

Volume = 1/64 cubic inches.

For rectangular box;

Length = 2½ = 5/2 inches.

Width = 2¼ = 9/4 inches.

Height = 1¾ = 7/4 inches.

Volume \; of \; cube = \frac {5}{2} * \frac {9}{4} * \frac {7}{4}  

Volume = 315/32 inches

Therefore, to find the amount of cubes;

Number \; of \; cubes = \frac {Volume \; of \; box}{Volume \; of \; cube}

Substituting into the equation, we have;

Number \; of \; cubes = \frac {\frac {315}{32}} {\frac {1}{64}}

Number \; of \; cubes = \frac {315}{32} * 64

Number \; of \; cubes = 315 * 2

Number of cubes = 630

6 0
3 years ago
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Janice has a fair coin and she flips it 50 times. The coin landed on tails 20 times instead of the theoretical probability of 25
chubhunter [2.5K]
I really don’t know I’m sorry I just need to answer a question to answer mine
4 0
3 years ago
Write the given roots to quadraatic equation
german

Answer:

It's like solving a quadratic, but in reverse, and in this case you'll arrive at x2+x−12=0

Explanation:

We're going to go "backwards" with this problem - normally we're asked to take a quadratic equation and find the roots. So we'll do what we normally do, but in reverse:

Let's start with the roots:

x=3, x=−4

So let's move the constants over with the x terms to have equations equal to 0:

x−3=0, x+4=0

Now we can set up the equation, as:

(x−3)(x+4)=0

We can now distribute out the 2 quantities:

x2+x−12=0

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3 years ago
Each power smoothie that Theo makes has 3 scoops of mango, 1 scoop of strawberries, and 1 scoop of spinach. If Theo makes 7 powe
EleoNora [17]

Answer: 35 scoops total!

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Now you would do 7*5=35

Therefore, Theo uses 35 scoops in all. I hope this helps you!

5 0
3 years ago
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11111nata11111 [884]

Answer:

clro sia

Step-by-step explanation:

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