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3 years ago

What is cardinality of A={1,4,9}

Mathematics

1 answer:

Semenov [28]3 years ago

4 0

Answer:

Step-by-step explanation:

The cardinality of a set a measure of the number of elements in a set.

A set is a group of objects that have a well defined relationship between them.

In the given set, A={1,4,9}

The set of A has 3 elements which are 1, 4 and 9

So, the cardinality of this set is 3.

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Find the area bounded by the curve y = x1/2 + 2 the x - axis, and the lines x = 1 and x = 4?

Serggg [28]

The area is given by

$\displaystyle\int_1^4(x^{1/2}+2)\,\mathrm dx=\left(\frac23x^{3/2}+2x\right)\bigg|_{x=1}^{x=4}=\dfrac{40}3-\dfrac83=\dfrac{32}3=10+\dfrac23$

so the answer is B

8 0

3 years ago

Consider a series system composed of 4 separate components where each component has a 30% chance of failing. Assume each compone

Marina86 [1]

Answer:

16.15% probability that exactly 3 of them would function

Step-by-step explanation:

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.

Probability of each system working:

4 components, which means that $n = 4$

Each has a 30% probability of failing, so $p = 1 - 0.3 = 0.7$

For the system to work, all 4 components have to work. This is P(X = 4).

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

$P(X = 4) = C_{4,4}.(0.7)^{4}.(0.3)^{0} = 0.2401$

0.2401 probability of a system working.

If you have 7 of these systems, what is the probability that exactly 3 of them would function?

Now 7 systems, so $n = 7$

0.2401 probability of a system working.

We have to find P(X = 3).

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

$P(X = 3) = C_{7,3}.(0.2401)^{3}.(0.7599)^{4} = 0.1615$

16.15% probability that exactly 3 of them would function

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3 years ago

Paige DeMarco is the Vice President for University Advancement at State University. She is responsible for the capital campaign

Ainat [17]

Answer: It has systematic sampling.

Step-by-step explanation:

Systematic sample is a method of statistics which includes the selection of elements from the ordered sampling.

It has equal probability of each element.

It is done by choosing the starting point and selecting other elements after fixing the systematic or periodic interval.

She randomly selects the sixth name as a starting point and then selects every 100th subsequent name (106, 206, 306, etc.)

So, Sixth name is the starting point and then choosing the other elements after fixing an interval of 6.

So, it has systematic sampling.

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3 years ago

6 1/4 as a decimal number

Musya8 [376]

Answer- 6.25 Your welcome.

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A farmer makes a pen for his animals with a total perimeter of 46 feet. (see diagram)

ratelena [41]

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3 years ago

What is cardinality of A={1,4,9}​

What is cardinality of A={1,4,9}