Simplify. 1/2−3(1/2+1)^2 Enter your answer, as a simplified fraction, in the box.

Matt E. Matic was applying for a job. To determine whether he could handle the job, the personnel manager sent him out to poll 1

Rom4ik [11]

Answer:

No; he did the survey incorrectly.

He surveyed 107 people, not 100.

Step-by-step explanation:

Draw a Venn diagram, when you are presented with information like this;

Presenting it in a Venn diagram would look like what is shown in the pic.

P.S. when drawing a Venn diagram, start with the information regarding individuals who fit in all categories and then work your way to the individuals who fit in just in one category.

8 0

4 years ago

How do I find the missing angle?

Sveta_85 [38]

To find the missing angle first we need to fill in the other angles.
If we look at the 128 its on a straight line that is separated by another straight line so to get the angle on the other side of the line we need to subtract 128 from 180 which is 52.
The same goes for 160 so 180-160 = 20
And again the same for 60 so 180-60 = 120
So now that we have 2 out of 3 angles in the triangle we can figure out the final one by subtracting 120 and 20 from 180 (because theres 180 degrees in a triangle) which equals 40
Now if we look at the 40 degrees the other side is its opposite which makes it the same degree, and now we once again have 2 out of the 3 angles in a triangle so go to the triangle with 52 degrees and 40 degrees and subtract them from 180 which would be 88 degrees.
Now we subtract 88 from 180 to get the missing angle that we need (because its on another straight line thats been separated by another straight line) which equals 92

So the answer to your question is 92 degrees

6 0

3 years ago

The mean finish time for a yearly amateur auto race was 186.32 minutes with a standard deviation of 0.305 minute. The winning c

uranmaximum [27]

Complete Question

The mean finish time for a yearly amateur auto race was 186.94 minutes with a standard deviation of 0.305 minute. The winning car, driven by Roger, finished in 185.85 minutes. The previous year's race had a mean finishing time of 110.7 with a standard deviation of 0.115 minute. The winning car that year, driven by Karen, finished in 110.48 minutes.

Find their respective z-scores.

Who had the more convincing victory?

A. Roger had a more convincing victory because of a higher z-score.

B. Karen a more convincing victory because of a higher z-score.

C. Roger had a more convincing victory, because of a lower z-score.

D. Karen a more convincing victory because of a lower z-score.

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

The mean of the current year is $\mu_c = 186.32 \ minutes$