There are two spinners containing only white and green slices. Spinner A has 4 white slices and 1 green slice. All the slices are the same size. Spinner B has 3 white slices and 9 green slices. All the slices are the same size. Each spinner is spun. List these events from least likely to most likely. Event : Spinner B lands on a green slice. Event : Spinner A lands on a white or green slice. Event : Spinner A lands on a white slice. Event : Spinner B lands on a yellow slice.

Step-by-step explanation:

Ok, lets list the important things

The 4 options are:

We already know that choice 2 is 100% probable and option 4 is 0% probability, because in option 2, the spinner A ONLY has white or green slices so the spinner must land on the slice. In option 4, no matter which spinner is spun no yellow slices are available to land on.

the chance of option 1 happening is 9/12 which is 3/4 which is 75%

the chance of option 3 of happening 4/5 which is 80%

option 1 has a 75% chance

option 2 has a 100% chance

option 3 has an 80% chance

option 4 has a 0% chance

this means that the order is:

1. option 4

2. option 3

3. option 1

4. option 2

because it is least likely to most likely.

hope this helped you out and if you need any questions feel free to ask

good luck in maths!

-cheesetoasty

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200