Answer:
a)
b) 
c) 

So then we have:

Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Part a
For this case we want this probability:

Part b
For this case we want this probability:

And using the probability mass function we got:

Part c
For this case we want this probability:

And we can use the complenet rule and we got:


So then we have:

The answer for this equation is -2
Answer:
<h2>Add 24 and 40</h2>
Step-by-step explanation:
3(8 - 2x) + 40 = 34 <em>use the distributive property a(b + c) = ab+ ac</em>
3(8) + 3(-2x) + 40 = 34
24 - 6x + 40 = 34 <em>combine like terms</em>
-6x + (24 + 40) = 34 <em>Answer: Add 24 and 40</em>
-6x + 64 = 34 <em>subtract 64 from both sides</em>
-6x = -30 <em>divide both sides by (-6)</em>
x = 5
Answer:
= $44.19
Step-by-step explanation:
APR = 19%
Billing cycle = 30 days
Balance = $2830
Let's first find the daily rate,
Daily rate = 
The daily rate = 0.000521
To calculate the amount Shirley was charged interest for the billing cycle, we use:
Daily rate * billing cycle * balance
Where,
Daily rate
= 
Billing cycle = 30 days
Balance = $2830
Therefore, expression to be used =

Answer:
61.25%
Step-by-step explanation:
How many ml of 20 percent acid should be added to pure acid
to make 70 ml of 30 percent acid?
:
let x = amt of 20% mixture
then
(70-x) = amt of pure acid
:
0.20x + (70-x) =0 .30(70)
0.20x + 70 - x = 21
= 21 - 70
-0.8x =-49
x = 61.25%
x = +61.25 ml of 20% stuff