Answer:
B.
no real solutions
Step-by-step explanation:
2(x + 11) + 5x = 7x - 22
Distribute
2x+22 +5x = 7x -22
Combine like terms
7x +22 = 7x-22
Subtract 7x from each side
7x-7x+22 = 7x-7x-22
22 = -22
This is never true so there are no solutions
Answer: b; y intercept between 8 and 4
Step-by-step explanation:
1. a; 2/3
2. b; 3, all real numbers except x=2
3. a; $.75
4. c; intercepting at (-3,-3)
5. b; 5
6. a; starts at 3
7. b; 1975
8. b; y intercept between 8 and 4
Answer:
P(X < 4) = 0.5
Step-by-step explanation:
For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this question, we have that:

Find the probability that the number of correct answers is fewer than 4:
This is







So
P(X < 4) = 0.5
Subtracts 150 each time—
950-150=800 and 800-150=650 and so on and so forth. The number sequence only includes 5 numbers so there is no way to tell if there is a tougher solution.
If you solve for x you get:
x=(<span><span><span>5/2)</span>y</span>+<span>10
</span></span>
If you solve for y you get:
y=(<span><span><span>2/5)</span>x</span>−<span>4</span></span>