Answer:

And we can find the individual probabilities using the probability mass function and we got:


And replacing 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".
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:
Solution to the problem
For this case we want this probability:

And we can use the complement rule and we got:

And we can find the individual probabilities using the probability mass function and we got:


And replacing we got:

Answer:
(8,10) is not a solution
Step-by-step explanation:
Cuz it’s not on both inequality shaded part but just one of them and also when we substitute one is true and the other one is false
2x + y _< 8
2(8) + 10 _< 8
18 + 10 _< 8
28 _< 8 false
X + y _> 4
8 + 10 -> 4
18 _> 4 true
Oh yeah I have to get to the church ⛪️
The numbers get smaller in division and larger in multiplying
Set up the problem like this: x - 4 + 8 = 44
x-4+8=44 (8-4)
x+4=44
-4 -4 (subtract 4 from both sides)
x=40
Answer: the number is 40.