One can miss up to 24 questions and still achieve an 80% score.
In order to calculate the points each question is worth and determine how many questions you can miss while maintaining an 80% score.
To find the points each question is worth, we divide the total points by the number of questions. Let's assume the test is out of 100 points, which is a common scale. Therefore, each question would be worth or approximately 1.05 points.
Now, let's determine how many questions you can miss while still achieving an 80% score (which is 80 out of 100 points). We'll set up an equation to solve for the maximum number of questions you can miss, denoted by "x":
To solve for "x," first, we'll simplify the equation:
Next, we'll isolate "x" by multiplying both sides by 95:
Now, isolate "-100x" by subtracting 7600 from both sides:
Finally, divide both sides by -100 to solve for "x":
So, you can miss up to 24 questions and still achieve an 80% score.
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Answer: Exam A
Step-by-step explanation:
We must analyze how far are you from the mean in both cases, where the "step" that we will use to measure is the standard deviation.
In exam A, the mean is 20.5 and the standard deviation is 4.9.
If you scored a 27; then you need to see:
20.5 + 4.9 = 25.4
20.5 + 4.9 + 4.9 = 30.3
So you are within two times the standard deviation (more than the mean).
In the B exam, the mean is 1022 and the standard deviation is 214, where you scored 1209.
1022 + 214 = 1236
So in this exam, you are by one standard deviation away from the media.
With this, you can see that you did score better in exam A.
Answer:
1) 3<x≤15
2) w>-3
3) t>2 and t<-6
4) q<-15 and q≥-3
5) -6<p<5
Step-by-step explanation:
I will solve one problem to show you.
1) -2<x-5≤10
add 5 on both sides
-2+5<x-5+5≤10+5
3<x<15