5 - x - 2 > 3<br> Algebra

43 milk jugs are in a fridge with 11 that are spoiled. 5 jugs are randomly selected. what are the odds that the first two are go

malfutka [58]

Answer:

0.85% probability that the first two are good and the last three are spoiled

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the first two jugs is not important, as is not the order in which the last three are selected. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes:

2 spoiled, from a set of 43-11 = 32.

3 spoiled, from a set of 11.

So

$D = C_{32,2}*C_{11,3} = \frac{32!}{2!(32-2)!}*\frac{11!}{3!(11-3)!} = 982080$

Total outcomes:

5 jugs from a set of 43.

$T = C_{43,5} = \frac{43!}{5!(43-5)!} = 115511760$

Probability:

$p = \frac{D}{T} = \frac{982080}{115511760} = 0.0085$

0.85% probability that the first two are good and the last three are spoiled

4 0

3 years ago

Jim and Em baked 33 macaroons.

bearhunter [10]

Answer: 19 macaroons

Step-by-step explanation:

Let's create an equation to represent this situation. Let x represent the number of macaroons that Em made.

33=x+x+5

33=2x+5

33-5=2x+5-5

28=2x

28/2=2x/2

14=x

This means that Em made 14 macaroons.

14+5=19

Therefore, Jim baked 19 macaroons.

4 0

3 years ago

How many nineths does it take to make the same as 1/3

krek1111 [17]

Answer:

3

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Slope of the line that passes through points (-3,4) and (5,-1)

Veronika [31]

When hav epoins (x1,y1) and (x2,y2)
slope is (y2-y1)/(x2-x1)

(-3,4) and (5,-1)
slope=(-1-4)/(5-(-3))=-5/(5+3)=-5/8

slope=-5/8

6 0

3 years ago

Give the following equations determine if the lines are parallel perpendicular or neither

GaryK [48]

In order to determine whether the equations are parallel, perpendicular, or neither, let's simply each equation into a slope-intercept form or basically, solve for y.

Let's start with the first equation.