Answer:
It's negative correlation, I took the test before going on summer break so I hope this helps <3 If you have anymore questions please feel free to ask!
We need to define our outcomes and events.
Finding the probability<span> of each event occurring
separately, and then multiplying the probabilities is the step to <span>finding
the probability</span> of two
independent events that occur in
sequence.
</span>
<span>
To solve this problem, we take note of this:</span>
The roll of the two dice are denoted by the pair
(I, j) ∈ S={ (1, 1),(1, 2),..., (6,6) }
Each pair is an outcome. There are 36 pairs and each has
probability 1/36. The event “doubles” is { (1, 1),(2, 2)(6, 6) } has
probability p= 6/36 = 1/6. If we define ”doubles” as a successful roll, the
number of rolls N until we observe doubles is a geometric (p) random variable
and has expected value E[N] = 1/p = 6.
2x+9= 32
2x= 32-9
2x= 23
x= 23:2
x= 11.5
When solving a system by graphing you need to see where the lines intersect.
Below is a picture of these lines graphed. The green line is y = x +4 and the blue line is y = 4x - 1
The red dot represents the intersection is about (1, 5)
The original point is: (1.667, 5.667)
Hope this helped!
Answer:
Each of the 4 people will get 1/24 of the original cake
Step-by-step explanation:
The fractional part of cake left out is 1/6
This remaining cake is to be divided among four people.
Thus, each person will get
fractional part of cake left/total number of people
i.e 1/6/4
= 1/24
Each of the 4 people will get 1/24 of the original cake
