<h3>
Answer: Choice C</h3>
{x | x < -12 or x > -6}
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Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.
If Jordan has $55 and she earns $67 by doing chores, you can calculate how much money does Jordan have now using the following step:
$55 + $67 = $122
Result: Jordan has $122.
Given:
The area model.
The area of the shape is 82 square units.
To find:
The correct equation for the given situation.
Solution:
We know that, area of a rectangle is
The figure is divided into 3 rectangles. Using this formula, the area of each rectangle is
Now, the total area is equation to 82 square units.
Since the required equation is , therefore, the correct option is C.
Answer:
Does this sample provide convincing evidence that the machine is working properly?
Yes.
Step-by-step explanation:
<u>Normal distribution test:</u>
Where,
Once the significance level was not given, It is usually taken an assumption of a 5% significance level.
Taking the significance level of 5%, which means a confidence level of 95%, we have a z-value of
Therefore, we <u>fail to reject the null</u>. It means that the hypothesis test is not statistically significant: the average length is not different from 1.5!