Answer:
11.42 boxes
Step-by-step explanation:
For the first box bought, there is a 100% chance of getting a unique toy (since you still don't have any). E₁ = 1.
After that, there is a 4 in 5 chance of getting a unique toy from the next box, the expected number of boxes required is:
For the next unique toy, there is now a 3 in 5 chance of getting it:
Following that logic, there is a 2 in 5 chance of getting the 4th unique toy:
Finally, there is a 1 in 5 chance to get the last unique toy:
The expected number of boxes to obtain a full set is:
Answer:
<h2>For c = 5 → two solutions</h2><h2>For c = -10 → no solutions</h2>
Step-by-step explanation:
We know
for any real value of <em>a</em>.
|a| = b > 0 - <em>two solutions: </em>a = b or a = -b
|a| = 0 - <em>one solution: a = 0</em>
|a| = b < 0 - <em>no solution</em>
<em />
|x + 6| - 4 = c
for c = 5:
|x + 6| - 4 = 5 <em>add 4 to both sides</em>
|x + 6| = 9 > 0 <em>TWO SOLUTIONS</em>
for c = -10
|x + 6| - 4 = -10 <em>add 4 to both sides</em>
|x + 6| = -6 < 0 <em>NO SOLUTIONS</em>
<em></em>
Calculate the solutions for c = 5:
|x + 6| = 9 ⇔ x + 6 = 9 or x + 6 = -9 <em>subtract 6 from both sides</em>
x = 3 or x = -15
Answer:
-13
- 
+ 4p + 3
Step-by-step explanation:
I am having a little trouble reading the number. I think 5 is the question number and not part of the problem. I think this is the problem:
(4p - 6 - 3) - (8
+ 7 - 6) You take the opposite of everything inside the second set of parentheses. You can think of it as multiplying through by -1
4p - 6 - 3 - 8 - 7 + 6 Now we combine like terms. That is the numbers with the same variable p and the same power of p.
-13 - 8 + 4p + 3
Answer:7.51724137931
Step-by-step explanation:
The 3 inside angles of a triangle need to equal 180 degrees.
Add the 3 angles together to equal 180:
X + x+2 + 6x +10 = 180
Simplify:
8x + 12 = 180
Subtract 12 from each side:
8x = 168
Divide each side by 8:
x = 168 / 8
X = 21
a) x = 21
b) C = 6x+10
replace x with 21:
6(21) + 10 =
126 +10 = 136
