Find the unit rate. 6 ounces for 2.5 servings Help! Please
2 answers:
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Answer:
Probability that a set of tires wears out before 20,000 miles is 0.1151.
Step-by-step explanation:
We are given that a tire manufacturer warranties its tires to last at least 20,000 miles or "you get a new set of tires." In its past experience, a set of these tires last on average 26,000 miles with S.D. 5,000 miles. Assume that the wear is normally distributed.
<em>Let X = wearing of tires</em>
So, X ~ N()
Now, the z score probability distribution is given by;
Z = ~ N(0,1)
where, = average lasting of tires = 26,000 miles
= standard deviation = 5,000 miles
So, probability that a set of tires wears out before 20,000 miles is given by = P(X < 20,000 miles)
P(X < 20,000) = P( <
) = P(Z < -1.2) = 1 - P(Z
1.2)
= 1 - 0.88493 = 0.1151
Therefore, probability that a set of tires wears out before 20,000 miles is 0.1151.
The quadrant that the graph will not go through is the second quadrant.
The reason is that the slope is positive and there was a translation 6 units down
<h3>How to know the quadrant the graph will not pass</h3>The quadrants are named in anticlockwise direction starting from the first which has x - positive and y - positive
The graph of y = 2x/3 is a graph with positive slope, moving through the third and first quadrant.
y = 2x/3 - 6 means a translation 6 units down and this pushed the line to get to the fourth quadrant
Hence the remaining quadrant that is untouched is the second quadrant
The graph is attached
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