Answer:
<u>Yes</u>
- (2 · x) + (2 · 7) = 36
- x + 7 = 18
- 2x + 14 = 36
<u>No</u>
- 2x + 7 = 36
- 2(x + 7) = 72
- x + 14 = 36
Step-by-step explanation:
It is appropriate to eliminate parentheses as a first step. This can be done using the distributive property, resulting in either of ...
- 2x +2·7 = 36
- 2x +14 = 36 . . . . . 2·7 evaluated mentally
or by dividing the equation by the factor outside parentheses, resulting in ...
___
Any of the equations other than these represent violations of the equal sign. Something has been done to one side of the equation without the same thing being done to the other side.
Answer:
(a) I attached a photo with the diagram.
(b) 
(c) 1/4
(d) 4
(e) 
Step-by-step explanation:
(a) I attached a photo with the diagram.
(b) The easiest way to think about this part is in terms of combinatorics. Think about it like this.
To begin with, look at the three each level of the three represents a possible outcome of throwing the coin n-times. If you throw the coin 3 times at the end in total there are 8 possible outcomes. But The favorable outcomes are just 2.
1 - Your first outcome is HEADS and all the others are different except the last one.
2 - Your first outcome is TAILS and all the others are different except the last one.
Therefore the probability of the event is

(c)
P(X = 0) = 0 because it is not possible to have two consecutive tails or heads.

(d)
Remember that this is a geometric distribution therefore
, in this case
so
and
![E[X+1]^2 = ( E[X] +1 )^2 = (1+1)^2 = 2^2 = 4](https://tex.z-dn.net/?f=E%5BX%2B1%5D%5E2%20%3D%20%28%20E%5BX%5D%20%2B1%20%29%5E2%20%20%3D%20%281%2B1%29%5E2%20%3D%202%5E2%20%3D%204)
Also
(e)
This is a geometric distribution so its variance is

And using properties of variance

Answer:
232
Step-by-step explanation:
n *volume of cube = volume of cuboid
n*7*7*7=56*49*29
n=232
Let <em>h</em> represent the cost of hot dogs and <em>p</em> represent the cost of potato chips.
Customer 1: 4h + 5p = 15.50 ⇒ 3(4h + 5p = 15.50) ⇒ 12h + 15p = 46.50
Customer 2: 3h + 2p = 9.00 ⇒ -4(3h + 2p = 9.00) ⇒ <u> -12h - 8p = -36.00</u>
7p = 10.50
p = 1.50
Customer 2: 3h + 2p = 9.00 → 3h + 2(1.50) = 9.00 → 3h + 3.00 = 9.00 → 3h = 6.00 → h = 2.00
Answer: hot dog = $1.50, potato chips = $2.00