Give A={a,b,c},how many subsets does A have including 0?

1 answer:

8 0

Answer: 8 subsets

----------------------------------------------------------------------
----------------------------------------------------------------------

There are n = 3 elements in the given set, so there are 2^n = 2^3 = 2*2*2 = 8 subsets. Those 8 subsets are listed below

{a,b,c}
{a,b}, {a,c}, {b, c}
{a}, {b}, {c}
{ }

The first row is the original set. Any set is a subset of itself.
The second row represents subsets with exactly 2 elements.
The third row represents subsets with exactly 1 element
The fourth row is the empty set which can be written as $\varnothing$

You might be interested in

Fifteen years ago 57% of American families had money invested in the stock market. It is believed that this percentage has dropp

statuscvo [17]

Answer:

z(critic) = -2.33

Step-by-step explanation:

In this case this is a population proportion test because the observations are simple random sampled and there is a fixed number of trials with only two possible options. Also, n is big enough.

Since this is a population test, the test statistic is z.

Also, this is a one tailed tast because the claim is that the population proportion is less than 0.57.

In this case, for a 0.01 significance level, z(critic) = -2.33

3 0

3 years ago

A drawer contains 3 tan sweaters and two black sweaters. You randomly choose two sweaters. What is the probability that both swe

sergij07 [2.7K]

A = event that you select a black sweater
P(A) = 2/5 since there are 2 black out of 2+3 = 5 total

After you make a selection, we have the event
B = event that you select another black sweater assuming event A has happened already

P(B) = 1/4 because there's 1 black sweater left out of 5-1 = 4 left over

Multiply the probabilities
P(A and B) = P(A)*P(B)
P(A and B) = (2/5)*(1/4)
P(A and B) = 2/20
P(A and B) = 1/10

The answer as a fraction is 1/10
In decimal form, it is 0.1
As a percent, the answer is 10%

6 0

4 years ago

The table shows weight for different US coins Allen has one each coin in his hand.round each weight to the nearest whole gram.th

Elodia [21]

penny: 3 grams

nickel: 5 grams

dime: 2 grams

quarter: 6 grams

half dollar: 11 grams

3+5+2+6+11= 27

answer: 27 grams

hope this helps!

4 0

3 years ago

What makes this statment true 9^-2=? a)81 b)18 c)1/81 d)-1/81

inna [77]

Answer:

The answer is C

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

research suggests that the probability of a certain fuse malfunctioning increases exponentially as the concentration of an impur

Gennadij [26K]

Given that the probability is modeled by the function
$y=3(257,959)^x[tex] where x is the impurity 
concentration and y, given as a percent, is the probability of the fuse 
malfunctioning.\\Then, the probability of the fuse malfunctioning for an impurity concentration of 0.17 is given by [tex]y=3(257,959)^{0.17}=3(8.316941)=24.95$

Therefore, the probability of the fuse malfunctioning for an impurity concentration of 0.17 is 25% to the nearest percent.

7 0

4 years ago