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joja [24]
2 years ago
14

A set has 62 proper subsets how many elements has it for?​

Mathematics
1 answer:
MrRissso [65]2 years ago
5 0

Answer:

6

Step-by-step explanation:

Total number of subsets is given as

{2}^{n}

But the subset of a set consists of the proper subsets, an empty set and the set itself.

Total number of subsets are 64

Therefore,

{2}^{n}  = 64

{2}^{n}  =  {2}^{6}

Comparing both sides

n = 6

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Suppose a basketball player has made 231 out of 361 free throws. If the player makes the next 2 free throws, I will pay you $31.
statuscvo [17]

Answer:

The expected value of the proposition is of -0.29.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either the player will make it, or he will miss it. The probability of a player making a free throw is independent of any other free throw, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Suppose a basketball player has made 231 out of 361 free throws.

This means that p = \frac{231}{361} = 0.6399

Probability of the player making the next 2 free throws:

This is P(X = 2) when n = 2. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,2}.(0.6399)^{2}.(0.3601)^{0} = 0.4095

Find the expected value of the proposition:

0.4095 probability of you paying $31(losing $31), which is when the player makes the next 2 free throws.

1 - 0.4059 = 0.5905 probability of you being paid $21(earning $21), which is when the player does not make the next 2 free throws. So

E = -31*0.4095 + 21*0.5905 = -0.29

The expected value of the proposition is of -0.29.

3 0
3 years ago
1 1/4 + ( 3 2/3 + 5 3/4)
Dmitrij [34]

Answer:

10.6

10+ 2/3

Step-by-step explanation:

6 0
3 years ago
HELP PLZ When x = -2, which of the following points is on the graphed line y = -4x + 3?
trapecia [35]

y = f(x) =  - 4x + 3 \\ \Rightarrow f( - 2) =  - 4( - 2) + 3 = 8 + 3 = 11 \\ \Rightarrow ( - 2,11)

6 0
3 years ago
A triangle with the angle
Dahasolnce [82]
Answer : It is possible to form a triangle


Explanation : To form a triangle, sum of angles should be equal to 180
72 + 48 + 60 = 180 So, triangle is formed
Therefore the following statement is possible.
8 0
2 years ago
Select all of the following that are quadratic equations.
taurus [48]
A,d,f!!!!!!++!!!+!!!!!!
4 0
3 years ago
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