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natta225 [31]
2 years ago
6

The probability of event X is 30%. The probability of event Y is 40%. If events X and Y are mutually exclusive, what is the prob

ability of event X or Y
Mathematics
1 answer:
Soloha48 [4]2 years ago
7 0

The probability of event X or Y is P = 0.7, or, in percentage form, the probability is 70%.

<h3>How the get the probability of event X or Y?</h3>

First, two events are mutually exclusive if these events can't happen at the same time.

This means that if happens X, with a 30% of probability, then Y can't happen.

If happens Y, with a 40% of probability, then X can't happen.

Then the probability of X or Y (the probability that one of these two events happens, not both) is just the addition of the two individual probabilities.

Then we have:

P(X or Y) = 0.3 + 0.4 = 0.7

Or, in percent form, we get:

P(X or Y) = 70%

The probability of event X or Y is just 70%.

If you want to learn more about probability:

brainly.com/question/25870256

#SPJ1

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Answer:

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Step-by-step explanation:

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2 years ago
There are 60 students in the speech contest. Yesterday, 2/3 of them gave their speeches. Today, 1/4 of the remaining students ga
Firlakuza [10]

Answer:

15 students still haven't given their speeches

Step-by-step explanation:

2/3 of 60 is 40

60 - 40 = 20 left

1/4 of 20 is 5

20 - 5 = 15

15 students still haven't given their speeches

3 0
3 years ago
Find the value of n. 103 × n = 630 The value of n is .
Ksivusya [100]

Answer:

The answer would be n=6.11

Step-by-step explanation:

8 0
2 years ago
a cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. the material for the sides of the can costs
fredd [130]

The dimensions of the can are radius of can = 4cm and

height of can = 78.6cm

What is the volume of cylinder?

A cylinder can be seen as a collection of multiple congruent disks, stacked one above the other. In order to calculate the space occupied by a cylinder, we calculate the space occupied by each disk and then add them up.

Thus, the volume of the cylinder can be given by the product of the area of base and height.

Volume of cylinder = πr²h

According to the given question:

We have V cylinder = V = 400cc

We will first find the areas involved

Let x = radius of base then area of the base =  π*x² and this is the area of the top too

For lateral area we need to get h the height of the cylinder as function of x

V = πx²h   ⇒  h= v/πx²    ⇒   h = 400/πx²

Now the total area of the cylinder is:

A(x) = Area of the base + area of the top + lateral area

A(x) = 2*π*x² + 2πx h ⇒  A(x) =  2*π*x² + 2πx (V/πx² )

A(x) =  2*π*x² + 800/x

Taking derivatives:

A´(x)  =  4πx  - 800/x²

A´(x) = 0                4πx  - 800/x² =0     ⇒ πx - 200/x² = 0

( πx³  -  200 )/ x²  = 0      

πx³  -  200 = 0      

x = 4 cm

and h = 400/πx²    ⇒  h = 78.6 cm

To know more about volume of cylinder visit

brainly.com/question/24337953

#SPJ4

3 0
10 months ago
Solve for x:<br><br> x = <br> Answers: 22.5 30 45
AVprozaik [17]
Answer: 22.5 degrees

Step-by-Step Explanation:

As we can see, we are given a line, which is a straight angle. Hence, it will be of 180 degrees.

=> All the angles sum up to 180.

Therefore,
=> 3x + x + 90 = 180
= 4x + 90 = 180
= 4x = 180 - 90 = 90
=> x = 90/4 = 22.5

Therefore, x = 22.5 degrees

Verification:

=> 3x + x + 90 = 180
= 3(22.5) + 22.5 + 90 = 180
= 67.5 + 22.5 + 90 = 180
= 90 + 90 = 180
=> 180 = 180
=> LHS = RHS
6 0
2 years ago
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