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ra1l [238]
3 years ago
14

Formula to find the number of subsets of a set that has "n" number of elements. 2 raise 1)to the nth power 2)n squared 3)2 times

n 4)All of these
Mathematics
1 answer:
KiRa [710]3 years ago
6 0

Answer:

(A)2^n

Step-by-step explanation:

Given a set with "n" number of elements, the collection of all subsets of the set is referred to as the Power set of the given set.

To find the  number of possible subsets of any set, we use the formula: 2^n

Take for example the set: A={2,3,4)

A has 3 elements, therefore n=3

The number of possible subsets of A is: 2^3=8$ subsets

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Answer:

Step-by-step explanation:

15) t = 1 ,  3t - 2 = 3*1 - 2 = 3 - 2 = 1

      t =2,  3t - 2 = 3*2 - 2 = 6 -2 = 4

    t = 3,   3t - 2 = 3*3 - 2 = 9 - 2 = 7

     t = 4 ,  3t - 2 = 3*4 - 2 = 12 - 2 = 10

Series : 1,4,7,10,.........

a = first term = 1

d = common difference = 2nd term - first term = 4 - 1 = 3

n = number of terms = 20

S = \frac{n}{2}*(2a + (n-1)d)

  =\frac{20}{2}(2*1 +19*3)\\\\= 10 * (2 + 57)\\\\= 10* 59\\\\= 590

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2 years ago
Suppose a large population has a mean μand standard deviation σ, and a simple randomsample of size nis taken. The sampling distr
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Answer:

(d) μ and σ²/n

Step-by-step explanation:

In a sampling distribution of sample means, the mean is equal to the population mean, which is μ.

The standard deviation of the sampling distribution of sample means is given by

σ/√n.

The variance of a distribution is the square of the standard deviation; this means the variance of the sampling distribution of sample means would be

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A castle has 34 small rooms and 47 large rooms. Each room has 32 candles in it. Which is the best estimate for the number of can
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Step-by-step explanation:

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2 years ago
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Dwayne is finding the base of the triangle shown. It's area is 100 square meters. find his mistake and correct it.
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100 =  \frac{1}{2} 20 \times (b) \\ 100 = 10b \\ b = 10
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2 years ago
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A number is picked randomly in the range [0,7]. What is the probability that the number picked is between 3 and 5? What is the p
emmasim [6.3K]

Answer:

(1) 0.125

(2) 0.125

Step-by-step explanation:

The total number of possible outcomes is:

N = 8

(1)

Compute the probability that the number picked is between 3 and 5 as follows:

Number of Favorable outcomes = 1

The probability is:

P (Number picked is between 3 and 5) = 1/8 = 0.125

Thus, the probability that the number picked is between 3 and 5 is 0.125.

(2)

The number usually picked appears to be in in the range [3,5], i.e. the numbers could be, {3, 4 or 5}.

Number of Favorable outcomes = n (Number < 4 and within [3, 5]) = 1

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Thus, the probability that the number picked is less than 4 knowing that the number usually picked appears to be in in the range [3,5] is 0.125.

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3 years ago
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