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4 years ago

A ∩ ∅ = A Is this true or false

Mathematics

2 answers:

Georgia [21]4 years ago

6 0

It's False

Hope thiis Helps

ddd [48]4 years ago

3 0

Answer:

The statement A ∩ ∅ = A is FALSE

Step-by-step explanation:

Intersection(∩) of two sets gives the elements which are common in both the sets

∅ is a empty set

So, intersection of a empty set with any set will be empty set.

i.e. A ∩ ∅ = ∅

Hence, the statement that A ∩ ∅ = A is FALSE

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Read and solve.

grigory [225]

You would have to use multiplication to do this problem.

The number setence would be : 11,220 x 10

The answer would be: 112,200

6 0

3 years ago

A textbook has 500 pages on which typographical errors could occur. Suppose that there are exactly 10 such errors randomly locat

DiKsa [7]

Answer:

The probability of a selection of 50 pages will contain no errors is 0.368

The probability that the selection of the random pages will contain at least two errors is 0.2644

Step-by-step explanation:

From the information given:

Let q represent the no of typographical errors.

Suppose that there are exactly 10 such errors randomly located on a textbook of 500 pages. Let $\mu$ be the random variable that follows a Poisson distribution, then mean $\mu = \dfrac{10}{500}= 0.02$

and the mean that the random selection of 50 pages will contain no error is $\lambda = 50 \times 0.02 =1$

∴

$Pr(q= 0) = \dfrac{e^{-1} (1)^0}{0!}$

Pr(q =0) = 0.368

The probability of a selection of 50 pages will contain no errors is 0.368

The probability that 50 randomly page contains at least 2 errors is computed as follows:

P(X ≥ 2) = 1 - P( X < 2)

P(X ≥ 2) = 1 - [ P(X = 0) + P (X =1 )] since it is less than 2

$P(X \geq 2) = 1 - [ \dfrac{e^{-1} 1^0}{0!} +\dfrac{e^{-1} 1^1}{1!} ]$

$P(X \geq 2) = 1 - [0.3678 +0.3678]$

$P(X \geq 2) = 1 -0.7356$

P(X ≥ 2) = 0.2644

The probability that the selection of the random pages will contain at least two errors is 0.2644

6 0

4 years ago

Rob colored one fourth of a rectangle what is another way to name one fourth

Morgarella [4.7K]

Another way to name one forth is to say that he coloured a quarter of the rectangle because a quarter is one forth
hope that helps

6 0

3 years ago

Read 2 more answers

Can the legs ever be longer than the hypotenuse

Nata [24]

Answer:

no then its not a right triangle

Step-by-step explanation:

7 0

3 years ago

The price of a telephone reduced form Rs 3500 to Rs 3200. What percentage is decreased from its original price?

KIM [24]

Given :-

The price of a telephone reduced form Rs 3500 to Rs 3200.

To Find :-

Percentage decrease from it's original price .

Solution :-

Here the initial cost is Rs 3500 and the new cost is Rs 3200. So the decrease in its price is ,

→ Decrease = Rs 3500 - Rs 3200

→ Decrease = Rs 300

Now we may find the % change in its price by ,

→ Decrease in cost/Initial cost * 100 %

→ Rs 300 /Rs 3500 * 100 %

→ 8.57%

Hence the price is decreased by 8.57% .

I hope this helps.

5 0

2 years ago

Read 2 more answers