The cardinality of a sample space means the size of the sample space.
Event A: There are only 2 possible outcomes. Cardinality is 2.
Event B: There are 5 possible outcomes. Cardinality is 6.
You need to work out the variables of 20 (the last number) first: 1, 2, 4, 5, 10, 20 Lets call these folks "p" At that point you need to work out the components of the main coefficient (the number before the most astounding force of x): 1 Lets call this person "q" At that point you need to make all the conceivable divisions you can with: ±p/q Since q is only 1, we are fortunate, so the conceivable normal roots are: ±1/1,±2/1,±4/1,±5/1.±10/1,±20/1
Answer:
12
Step-by-step explanation:
We input 2 into each function:
w(2) = 3(2) - 2 = 4
v(2) = 2(2) + 7 = 11
k(2) = -6(2) - 7 = -19
Then we place our answers in w - v - k
(4) - (11) - (-19)
= 4 - 11 + 19
= 12
Answer:
![\[\frac{1}{24}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B24%7D%5C%5D)
Step-by-step explanation:
Let the total number of batteries produced daily be represented by x.
7/8 of the batteries are packaged immediately.
So the total number of packaged batteries = ![\[\frac{7x}{8}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B7x%7D%7B8%7D%5C%5D)
Remaining batteries = ![\[x-\frac{7x}{8}\]](https://tex.z-dn.net/?f=%5C%5Bx-%5Cfrac%7B7x%7D%7B8%7D%5C%5D)
= ![\[\frac{x}{8}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7Bx%7D%7B8%7D%5C%5D)
Two third of the remaining batteries are sent to charity.
So the total number of batteries sent to charity= ![\[\frac{2}{3} * \frac{x}{8}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B2%7D%7B3%7D%20%2A%20%5Cfrac%7Bx%7D%7B8%7D%5C%5D)
= ![\[\frac{x}{12}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7Bx%7D%7B12%7D%5C%5D)
Remaining batteries are faulty.
So the total number of faulty batteries = ![\[\frac{x}{8} - \frac{x}{12}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7Bx%7D%7B8%7D%20-%20%5Cfrac%7Bx%7D%7B12%7D%5C%5D)
= ![\[\frac{3x - 2x}{24}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B3x%20-%202x%7D%7B24%7D%5C%5D)
= ![\[\frac{x}{24}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7Bx%7D%7B24%7D%5C%5D)
So the faction of batteries which are faulty =
= ![\[\frac{x}{24} \div x\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7Bx%7D%7B24%7D%20%5Cdiv%20x%5C%5D)
= ![\[\frac{1}{24}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B24%7D%5C%5D)
Answer:
-3y = 2x - 7
y = -2/3x - 7/3
Step-by-step explanation:
y cannot be negative nor a whole number.
To get y by itself you have to divide the -3 over to the other side.