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3 years ago

When will n(A∩B)=0? Explain and give an example.

Mathematics

1 answer:

andrew11 [14]3 years ago

8 0

Answer:

Two sets are called disjoint if they have no elements in common. For example:

The sets S = { 2, 4, 6, 8 } and T = { 1, 3, 5, 7 } are disjoint.

Another way to define disjoint sets is to say that their intersection is the empty set,

Two sets A and B are disjoint if A ∩ B = 0.

In the example above,

S ∩ T = ∅ because no number lies in both sets.

Step-by-step explanation:

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butalik [34]

<span>72100 multiplied by 1.02 is 73542
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An electronic product contains 48 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the

BigorU [14]

Answer:

0.6173 = 61.73% probability that the product operates.

Step-by-step explanation:

For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution 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.

An electronic product contains 48 integrated circuits.

This means that $n = 48$

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This means that $p = 0.01$

The product operates only if there are no defective integrated circuits. What is the probability that the product operates?

This is P(X = 0). So

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3 years ago

Pls help me answer this question and plsss do not send link

Sever21 [200]

Answer:

x=124.75

Step-by-step explanation:

Sum of angles of a triangle=180°

(x-40)+(x-20)+(1/2- 10)=180°

(x-40)+(x-20)+(−9.5)=180°

x-40+x-20−9.5=180°

x+x-40-20-9.5=180°

2x−69.5=180°

2x=180°+69.5

2x=249.5

2x/2=249.5/2

x=124.75

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3 years ago

In order for a gear to work in a piece of machinery, the radius of the gear, r, must be greater than 4 cm, but not exceed 4.1 cm

Arturiano [62]

I’m pretty sure it’s 4 < r < 4.1
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morpeh [17]

Answer:

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