Part A
Use the binomial probability distribution formula.
p = 0.54 = probability of getting a purple marble
n = 5 = sample size
x = 2 = number of purple we want to get
The 
portion is from the nCr combination formula. The exclamation marks indicate a factorial.
Alternatively, you could use Pascal's Triangle for that portion.
<h3>Answer: 0.283831776</h3>
This decimal value is exact. Round it however you need to.
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Part B
To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.
n*p = 5*0.54 = 2.7
<h3>Answer: 2.7</h3>
Answer:
$720
$360
Step-by-step explanation:
Let the cost of couch be A and that of coffee table be B
Given couch and coffee table cost $1080
That’s
A + B = $1080
Also, the cost of couch A is 2 times the cost of coffeee table B.
That’s
A = 2B
We now have two equations
A + B = 1080
A = 2B
Now ,substitute 2B for A in the first equation .
We have
A + B = 1080
2B + B = 1080
3B = 1080
Divide both sides by 3
3B/3 = 1080/3
B = 360
The coffee table cost $360
Remember A = 2B
Therefore
A = 2 x $360
A = $720
The couch cost $720 while the coffee table cost $360
Answer:
1 out of 12
Step-by-step explanation:
12-11=1
Step by step:
x(2)−3x+14
=2x+−3x+14
Combine Like Terms:
=2x+−3x+14
=(2x+−3x)+(14)
=−x+14
Answer:
=−x+14
For some reason I could only find one... sorry!
Hope I could help thou! :)
