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docker41 [41]
2 years ago
14

Each question on a multiple-choice exam has four choices. One of the choices is correct, worth four points. Another choice is wr

ong but carries partial credit of one point. The other two choices are wrong and worth negative one point. If a student picks answers at random, what is the expected value of his or her score for a problem?
A 0.75
B 0.25
C 1.25
D 1.50
Mathematics
1 answer:
kifflom [539]2 years ago
8 0

Answer:A)0.75

Step-by-step explanation:

Given

There are four options to a question

out of which one is correct with 4 points

one is wrong but carries 1 point

Other two are wrong with a negative Point

Probability of selecting an option is \frac{1}{4}

Expected score=\frac{1}{4}\times 4+\frac{1}{4}\times 1+\frac{1}{4}\times (-1)+\frac{1}{4}\times (-1)

Expected score=1+0.25-0.5

Expected score=0.75

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2. Felicia took out a simple interest loan at 12 percent interest for 6 months. Her previous balance is $2,460,
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Answer:

Answer:

28+66+86=180

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Step-by-step explanation:

Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°

Write the equation

\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}

x+(2x+10)+(3x+2)=180

Simplify left side of the equation

\begin{gathered}6x+12=180\\\end{gathered}

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\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}

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Replace x into the 3 angles and find their respectives values

\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}

A=x

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B=2∗28+10

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Check if the answers are correct

\begin{gathered}28+66+86=180\\180=180\end{gathered}

28+66+86=180

180=180

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