Choose the correct solution and graph for the inequality "-x/3<=6"
1 answer:
Answer:
Step-by-step explanation:
To solve this inequality, we have to find x (or make x the subject of the inequality:
since ⁻ˣ/₃ ≤ 6 [multiply both sides by 3]
- x ≤ 18 [multiply both sides by -1; this flips the inequality sign]
<h3> x ≥ - 18 [this is the solution]</h3><h3 />To graph the inequality, draw the line x = - 18 with a solid line, and then shade the region that is x > -18.
We use a solid line because the point x = -18 is included. However, hypothetically, if the inequality was x > -18 only, a broken line would be used to show that the line x = -18 is not included.
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The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left to travel to get to her destination.
Which statement is true?
It took Michelle 6 hours to complete the trip.
For each hour that Michelle drove, she traveled an additional 50 miles.
In the first 6 hours, Michelle had traveled a total of 50 miles.
In the first 3 hours, Michelle had traveled a total of 200 miles.
Answer:
The data item is
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 400 and a standard deviation of 60.
This means that
z=3
We have to find X when Z = 3. So
The data item is