Answer:
(-9, -4)
Step-by-step explanation:
Answer:
The equation of this line would be y = 11x - 48
Step-by-step explanation:
To get this equation, we first have to find the slope. We do that with the slope eqaution.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-4 - 7)/(4 - 5)
m = -11/-1
m = 11
Now we can use this slope and either point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 7 = 11(x - 5)
y - 7 = 11x - 55
y = 11x - 48
The solution of the equation are as follows:
x = 6 and y = -5
<h3 />
<h3>How to solve the system of equation?</h3>
4x + 5y = -1
-5x - 8y = 10
Therefore,
20x + 25y = -5
-20x - 32y = 40
-7y = 35
y = -5
Hence,
4x + 5(-5) = -1
4x - 25 = -1
4x = -1 + 25
4x = 24
x = 24 / 4
x = 6
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Answer:
c. 9t+45 that shows distributive property
where it shows a*(b+c)=(a*b)+(b*c).so,9(t+5)=9*t+9*5
Answer:
0.762 = 76.2% probability that this shipment is accepted
Step-by-step explanation:
For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So 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.
17 randomly selected pens
This means that 
(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)
This is
when
. So






0.762 = 76.2% probability that this shipment is accepted