Please help me with this questions. Will Mark brainliest.

355

And 33 eggs

Step-by-step explanation:

8 × 40 = 320

7/8 × 40= 35 Add 35+320 = 355

2 × 12= 24 3/4 of 12 = 9

Add 9+24=33

You can also make an improper fraction. Multiply the denominator by the whole number then add the numerator.

2 3/4 becomes 4×2=8

8+3=11 Divide the other factor by the denominator: 12÷4=3

Then multiply by the "improper" numerator 3×11=33

8 7/8 becomes 71/8

40/8=5

5×71=355

The probability that no guest gets their own hat back = (44/120) = 0.3667

Step-by-step explanation:

The hats can be returned to the guests in

5! different ways. That is, there are 120 difderent permutations of people getting their hats back.

And the number of combinations in which no guest gets their own hat back is 44. (Using the derangement theory)

A derangement is an arrangement of n objects in which no object retains its original position.

It is represented by !n and it is evaluated as the closest whole number to (n!/e)

That is,

!n = (n!/e) (note that e is the rulers number we're used to in mathematics)

e = 2.7183

So, the derangement of 5 guests would be

!5 = (5!/e) = (120/2.7183) = 44.1 = 44.

So, the probability that no guest gets their own hat back = (44/120) = 0.3667

Hope this Helps!!!