Answer:
There's no negative sign in front of the absolute value so it opens upward. As for the vertex, the x value will be whatever makes what is in the absolute value symbols 0 which is 2.5 in our case and the y-coordinate is 3 so the vertex is (2.5, 3).
Answer:
B. The intervals are centered around the sample mean GPA.
D. 95% of the intervals will contain the population mean in the long run.
Step-by-step explanation:
Confidence interval:
Depends on two things: The sample mean and the margin of error.
Lower end: Sample mean - margin of error
Upper end: Sample mean + margin of error
This means that the intervals are centered around the sample mean.
x% level:
x% of the intervals will contain the population mean in the long run.
So the true statements are:
B. The intervals are centered around the sample mean GPA.
D. 95% of the intervals will contain the population mean in the long run.
Answer:
∠ WXY = 59°
Step-by-step explanation:
The sum of the 3 arcs in the circle = 360°, thus
arc WY = 360° - (156 + 86)° = 360° - 242° = 118°
The measure of the inscribed angle WXY is one half the measure of its intercepted arc, thus
∠ WXY = 0.5 × 118° = 59°
<u>Answer:</u>
The equivalent of -1/3t = 4/3 is t = -4
<u>Solution:</u>
Need to determine such value of t so that when it is multiplied by -1/3, we should get 4/3
That is we need to solve following expression for value of t.

On multiplying both the sides by 3 we get

Now multiplying both the sides by -1 we get

Let’s recheck the value of t

Hence for t = -4, expression -1/3 t is equal to 4/3.
The first step for solving this expression is to move the variable -3m to the left side and then change its sign.
4 - 2m + 3m > 7
Now move the constant to the right side and change its sign.
-2m + 3m > 7 - 4
Collect the terms on the left side.
m > 7 - 4
Lastly,, subtract the numbers on the right side to get your final answer.
m > 3
Let me know if you have any further questions.
:)