Answer:
0.5
Step-by-step explanation:
Wanted outcome / possible outcomes = 0.5 in this case.
Question: How many possible points is the quiz worth?
Answer: 25
Question: How many questions did you miss?
Answer: 1
Question: How many points was each missed question worth?
Answer: 2
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Explanation for the answers above:
There are 15 questions total. You answer 5 one-point questions and 9 two-point questions correctly. So you've answered 5+9 = 14 questions correctly out of the 15 total.
So you missed 1 question
The missed question point total is unknown for now. Call it x.
So far you've earned 5*1+9*2 = 5+18 = 23 points. Adding on the x points from what you missed and there are 23+x total points to earn (assuming you get 100%)
So this means
23/(23+x) = 0.92
because you earned a 92%
Solve for x
23/(23+x) = 0.92
23 = 0.92(23+x) ... multiply both sides by (23+x)
23 = 0.92*23+0.92*x ... distribute
23 = 21.16+0.92*x
23-21.16 = 21.16+0.92*x-21.16 ... subtract 21.16 from both sides
1.84 = 0.92*x
0.92*x = 1.84
0.92*x/0.92 = 1.84/0.92 ... divide both sides by 0.92 to isolate x
x = 2
The missed question was worth x = 2 points
There are 23+x = 23+2 = 25 points total. So you are close when you wrote 24
Answer:
SAS
Step-by-step explanation:
SSS, as you used, is incorrect because we only have two of the sides. Luckily, if we look at our theorems, one of them includes two sides!
These triangles are prooven similar with SAS. We have to two of the sides that are similar (as you have showed with your work in the photo), and we also have an angle. This angle comes from the vertical angles that show up as our triangles share a point.
I hope this helps, have a nice day! :D
Answer:
21
Step-by-step explanation:
42/2 is 21
Answer:
$3,307.5
Step-by-step explanation:
It's 3000*1.05=3150
3150*1.05=3,307.5