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Anuta_ua [19.1K]
3 years ago
12

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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Y=x +5<br> 5x + 2y=1<br><br> Can you show the steps thanks
lubasha [3.4K]

Answer:

(-9/7,-26/7)

[more detailed at the bottom of the explanation]

Step-by-step explanation:

I am assuming that this is a system of equations...

So, knowing that y is equal to x + 5, you would plug that in the second equation and find x. Then you would plug x and find y.

—————

Step 1)

Equation 1:

y = (x + 5)

Equation 2:

5x + 2y = 1

Equation 2 can also be written as:

5x + 2(x+5) = 1

I wrote x+5 instead of y because the first equation tells us that y is equal to x + 5.

—————

Step 2)

Solve for x .

5x + 2(x+5) = 1

5x + 2x + 10 = 1

7x + 10 = 1

7x = 1 - 10

7x = -9

x = -9/7

—————

Step 3)

Plug the x value back in the first equation.

y = -9/7 + 5

y = -26/7

—————

Solution:

x = -9/7

y = -26/7

In ordered pair form:

(-9/7,-26/7)

————— ————— —————

Hope this helps !!!!!!!

5 0
4 years ago
can u tell me which letter the answer is.. i know how to do this problem im just confused what the answer is​
Ede4ka [16]

Answer:

Im pretty sure its a :3

Step-by-step explanation:

7 0
3 years ago
Change x + 2y = 6 into slope-intercept form.
mart [117]

Answer:

The slope intercept form involves solving for y, such that the equation looks like this: y = mx + b, where m is a constant representing the slope of the line, and b is a constant representing the value of the y-intercept.

Starting with the equation x+2y=6 and subtracting x from both sides gives 2y =  -x + 6.

If we then divide each term by 2, we get the final result of y = -1/2x + 3.

Here we see that the slope (m) is equal to -1/2, and the y-intercept (b) is 3.

Step-by-step explanation:

4 0
3 years ago
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Solve the following system of equations.
timofeeve [1]
+8y and -8y cross out.

So the first one is 3x=15
Second one is 2x=10

x=5
Then plug x is one of the equations

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3 0
3 years ago
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Answer:

a

Step-by-step explanation:

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