Answer and Step-by-step explanation:
What the question is asking is that it wants you to make the equation show equal to n.
We can do that by dividing both sides by RT, to get n by itself.
⇔ This is the answer.
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Answer:
yes, the two expressions are equivalent when x = 5
Step-by-step explanation:
7(5)=35
3(5)=15
35+15=50
9(5)=45
45+5=50
Answer:
a) 
b) 
c) 


And addind the values we got:

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
We want this probability:

And we can use the probability mass function and we got:

Part b
We want this probability:

And we can use the probability mass function and we got:

Part c
We want this probability:

And we can use the probability mass function and we got:



And addind the values we got:

Answer:
C
Step-by-step explanation:
Answer:
x=14
x=−2
Step-by-step explanation:
Factoring x2-12x-28
The first term is, x2 its coefficient is 1 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is -28
Step-1 : Multiply the coefficient of the first term by the constant 1 • -28 = -28
Step-2 : Find two factors of -28 whose sum equals the coefficient of the middle term, which is -12 .
-28 + 1 = -27
-14 + 2 = -12 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 2
x2 - 14x + 2x - 28
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-14)
Add up the last 2 terms, pulling out common factors :
2 • (x-14)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-14)
Which is the desired factorization