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Answer: Choice B</h3>
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Explanation:
If you graphed the equation 2x-5y = 14, you'll find it has a positive slope. It turns out the slope in this equation is 2/5, which is positive. A positive slope means the line goes uphill as you move from left to right. This means we can rule out choice because of this (since we want the line to slope downward).
Now let's turn to choice D. If we multiply both sides of the first inequality by -1, then we go from 
to 
. Note the inequality sign flips. This always happens when we multiply both sides by any negative number. The inequality implies that the shaded region will be above the boundary line, but this contradicts the drawing which shows the shaded region is below the diagonal boundary line. We can rule out choice D because of this. Choice A can be ruled out for similar reasoning.
You should find that only choice B is left. The diagonal line is 2x+5y = 14, and we shade below this boundary line, as well as shading to the right of the y axis (to indicate all values have positive x coordinates). Values on the boundary count as solution points as well.
Answer:
B
Step-by-step explanation:
-2(x-6)+7=35
-2x+6+7=35 (Distributive property)
-2x+13=35 (Simplify, combine like terms)
-2x+13-13=35-13
-2x=22
-2x/-2=22/-2
X=-11
the highest fair would be 240 customers charging 11 dollars with a profit of 2,640 dollars
Answer:
Binomial probability
Step-by-step explanation:
For each computer, there are only two possible outcomes. Either they fail, or they do not. The probability of a computer failing is independent from the probability of other computers failing. So we use the binomial probability distribution to solve this problem.
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 problem we have that:
To find the probability that exactly 20 of the computers will require repair on a given day, one will use what type of probability distribution
