Answer:
His actual score is 15
Step-by-step explanation:
Here, we are interested in calculating Wayne’s actual score on the ACT
when we say the scores have being standardized, it means the score was reported in terms of the z-score and not the initial raw scores.
Now, mathematically, for the scores to have a negative z-score, it means it is actually below the mean.
The formula for the z-score or standard score is given below;
z-score = (x - mean)/SD
where in this case, x = ? which is the score we are looking for , z-score = -0.5 , mean score = 18 and standard deviation of the scores = 6
So, substituting these values into the z-score equation, we have;
-0.5 = (x-18)/6
x-18 = 6(-0.5)
x -18 = -3
x = -3 + 18
x = 15
Hello!
Annually means once a year so if it is compounded annually then it is compounded only once per year, meaning interest is added to principal only 1 time per year.
Hope this helps! Any questions please just ask!! Thank you so much!!
Let's solve and find out.
4(2n - 4) + 3 = 8n - 19
8n - 16 + 3 = 8n - 19
8n - 13 = 8n - 19
-13 = -19
-13 and -19 are not equal, so the equation has no solutions.
Answer:
A. 0
Answer:
x = 5, y = -2
Step-by-step explanation:
<u>Given equations:</u>
<u>From the first equation we get:</u>
<u>Substitute x in the second equation, find y:</u>
- 3x - y = 17
- 3*(1-2y) - y = 17
- 3 - 6y - y = 17
- -7y = 17 - 3
- -7y = 14
- y = -14/7
- y = -2
<u>Find x:</u>
- x = 1 - 2y
- x = 1 - 2*(-2)
- x = 1 + 4
- x = 5
Yes because they both have the same degrees, but one is slightly rotated
