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3 years ago

P(A)=7/20,P(B)=3/5,P(A∩B)=21/100 ,P(A∪B)=?

Mathematics

2 answers:

satela [25.4K]3 years ago

7 0

Answer:

P( A U B) = 37/50

Step-by-step explanation:

7/20+3/5+21/100

IF YOU NEED MORE HELP LMK

il63 [147K]3 years ago

6 0

Answer: The required value of P(A∪B) is $\dfrac{37}{50}.$

Step-by-step explanation: For the two event A and B, we have the following probabilities :

$P(A)=\dfrac{7}{20},~~P(B)=\dfrac{3}{5},~~P(A\cap B)=\dfrac{21}{100}.$

We are to find the following probability :

$P(A\cup B)=?$

From the laws of probability, we have

$P(A\cup B)\\\\=P(A)+P(B)-P(A\cap B)\\\\=\dfrac{7}{20}+\dfrac{3}{5}-\dfrac{21}{100}\\\\\\=\dfrac{35+60-21}{100}\\\\\\=\dfrac{74}{100}\\\\\\=\dfrac{37}{50}.$

Thus, the required value of P(A∪B) is $\dfrac{37}{50}.$

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Use the rational zero theorem to create a list of all possible rational zeroes of the function f(x) = 14x^7 - 4x^2 + 2

Bas_tet [7]

$f(x) = 14x^7 - 4x^2 + 2$

Use the rational zero theorem

In rational zero theorem, the rational zeros of the form +-p/q

where p is the factors of constant

and q is the factors of leading coefficient

$f(x) = 14x^7 - 4x^2 + 2$

In our f(x), constant is 2 and leading coefficient is 14

Factors of 2 are 1, 2

Factors of 14 are 1,2, 7, 14

Rational zeros of the form +-p/q are

$+-\frac{1,2}{1,2,7,14}$

Now we separate the factors

$+-\frac{1}{1}, +-\frac{1}{2}, +-\frac{1}{7}, +-\frac{1}{14},+-\frac{2}{1}, +-\frac{2}{2}, +-\frac{2}{7}, +-\frac{2}{14}$

$+-1, +-\frac{1}{2}, +-\frac{1}{7}, +-\frac{1}{14},+-2, +-1 , +-\frac{2}{7}, +-\frac{1}{2}$

We ignore the zeros that are repeating

$+-1, +-2, +-\frac{1}{2}, +-\frac{1}{7}, +-\frac{1}{14}, +-\frac{2}{7}$

Option A is correct

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3 years ago

Read 2 more answers

How many composite number between 1 and 50

Kamila [148]

Step-by-step explanation:

There are 34 composite numbers between 1 to 50 which are as follows: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50.

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Rationalise the denominator by 6 root 7 minus 1

nikklg [1K]

Answer:

Assuming the numerator was 1.

$(6\sqrt{7}+1)/251$

Step-by-step explanation:

Assuming the numerator was 1.

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