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
Answer:
(1,-1)
Step-by-step explanation:
The solution to a system of equation means the x and y values if we were to solve both equations (of lines) simultaneously.
That is also known as the intersecting points.
The top-right part is known as the 1st Quadrant in a coordinate system.
Top-left is 2nd Quadrant.
Bottom left is 3rd Quadrant.
Bottom right is 4th Quadrant.
The values of x and y (positive or negative) of each quadrant is shown below:
- Quadrant 1: x +ve, y +ve
- Quadrant 2: x -ve, y +ve
- Quadrant 3: x -ve, y -ve
- Quadrant 4: x +ve, y -ve
The intersection point (solution) of the 2 lines shown is in the 4th quadrant, which has x values positive and y values negative.
From the answer choices, we see that 3rd answer choice goes with this -- (1,-1), so this is the correct choice.
Answers:
Slope = 3/4
y intercept = -1/2
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Explanation:
The form y = mx+b is known as slope intercept form
m is the slope and b is the y intercept
Comparing y = (3/4)x - 1/2 to y = mx+b, we see that
m = 3/4
b = -1/2
Answer:
2. 10 muffins with chocolate 30 without chocolate
Step-by-step explanation:
