Answer:

Step-by-step explanation:
Let
denotes number of pencils, markers, erasers respectively.
For Andrea:

For Justin:

For Virginia:

On subtracting equations (i) and (ii), we get

Put
in equation (i)

Put
in equation (iii)

Multiply equation (iv) by 5 and equation (v) by 6 and then subtract both the equations.

Put
in equation 

Put
in equation (i)

Answer:
The answer is 1/30 or 0.0333333...
Step-by-step explanation:
The way to find experimental probability is by comparing the number of times the event occurs to the total number of trials. In this question, there has only been one arrangement that consists of ballooons that are all the same color. This means that 1 (the number of times the event occurred)/ 30 (total number of trials) is the answer. I hope you have a great day!!
Answer:

Step-by-step explanation:

Apply sum of cubes formula: 


All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.
That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If

is the component for state

, then you have

which means

. So the state vector is

.
Answer:
136.1 inches
Step-by-step explanation:
area of a circle is r^2 x pi
this is 3/4 of a circle
1. so 3/4 x 7.6^2xpi
2. 3/4 x 57.76 x pi
3. .75 x 57.76 x pi
4. 136.1