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kolezko [41]
4 years ago
11

Let E and F be two events that are mutually exclusive and suppose P(E)=.4 and P(F)=.2. Compute P(E intersect F)

Mathematics
2 answers:
Natalija [7]4 years ago
4 0
<span>P (E intersect F) refers to the probability of both events E and F happening at the same time. But since we are told that the events are mutually exclusive, it means that they cannot both occur simultaneously.

Therefore P (E intersect F) = 0</span>
kenny6666 [7]4 years ago
4 0
Given that these two events are mutually exclusive, there's no any relation between them, so:

P(E\cap F) = P(E)P(F)

Then, the probability for this problem is given by:

P(E\cap F) = (0.4)(0.2)=0.08

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One pizza will feed 4 people. How many pizzas are needed for 8 people?
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<h2>2 pizzas </h2>

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The area of this rectangle is 54 square inches. Create an equation to find the value of n. Length is 3(n-1) and the width is n+2
olasank [31]

Value of n is 4

The area of a rectangle is equal to the product of its length and width.

we know ,

the area of  rectangle, multiply the length, , and the width, ,

and set the product equal to the area.

area of rectangle        = length * width

            54                  = 3(n - 1) * (n + 2)

             54                 =( 3n - 3) * (n + 2)

multiply ( 3n - 3) with  (n + 2)

we get,

              54                = 3n^{2} + 6n - 3n -6

              54                = 3n^{2} + 3n -6

              54                = 3(n^{2} + n -2)

             \frac{54}{3}                  =  (n^{2} + n -2)

             18                 =  (n^{2} + n - 2)

 n^{2} + n - 2 - 18           = 0

 n^{2} + n - 20                = 0

solve them

 n^{2} + 5n + 4n -20       = 0

 n (n + 5) - 4 (n + 5)   = 0

(n + 5)(n -4)  

then we get,            

n = -5 , n = 4

value of n should not be negative . so value of n is 4

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area

Area of rectangle = Length x Breadth

A = lb

how to Factoring Quadratic Equation

Step 1: Consider the quadratic equation ax2 + b x + c = 0

Step 2: Now, find two numbers such that their product is equal to ac and sum equals to b.

(number 1)(number 2) = ac

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Step 3: Substitute these two numbers in the formula given below:

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Step 4: Finally simplify the above equation.

learn more about area of rectangle here :brainly.com/question/35108030

SPJ9

     

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4.35 divided by 5-1+1+2+3
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Answer: the answer is 0.435

Step-by-step explanation:

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