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victus00 [196]
2 years ago
14

Few students manage to complete their schooling without taking a standardized admissions test such as the Scholastic Achievement

Test, or SAT (used for admission to college); the Law School Admissions Test, or LSAT; and the Graduate Record Exam, or GRE (used for admission to graduate school). Sometimes, these multiple-choice tests discourage guessing by subtracting points for wrong answers. In particular, a correct answer will be worth +1 point, and an incorrect answer on a question with five listed answers (a through e) will be worth −1/4 points.
What is the expected value of eliminating one answer and guessing among the remaining four possible answers?
What is the expected value of eliminating three answers and guessing between the remaining two possible answers?
Mathematics
1 answer:
slega [8]2 years ago
6 0

Answer:

Step-by-step explanation:

Assuming there is a punitive removal of one point for an incorrect response.

Five undiscernable choices: 20% chance of guessing correctly -- Expectation: 0.20*(1) + 0.80*(-1) = -0.60

Four undiscernable choices: 25% chance of guessing correctly -- Expectation: 0.25*(1) + 0.75*(-1) = -0.50

I'll use 0.33 as an approzimation for 1/3

Three undiscernable choices: 33% chance of guessing correctly -- Expectation: 0.33*(1) + 0.67*(-1) = -0.33 <== The approximation is a little ugly.

Two undiscernable choices: 50% chance of guessing correctly -- Expectation: 0.50*(1) + 0.50*(-1) = 0.00

And thus we see that only if you can remove three is guessing neutral. There is no time when guessing is advantageous.

One Correct Answer: 100% chance of guessing correctly -- Expectation: 1.00*(1) + 0.00*(-1) = 1.00

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Lake Okeechobee's water level was at sea level in April. In May, the lake's level rose 4 inches and in June it rose 2 more inche
lana [24]

Step-by-step explanation:

If the lake's level rose 4 inches and in June it rose 2 more inches, the total amount of distance that he rose is (4+2).

Also if the lake's level fell 5 inches in July and 3 more inches in August as a result of no rain, then the total amount of fall will be (5+3).

Change in height of the lake = total rise in distance - Total fall in distance

Change in height of the lake = (4+2) - (5+3) = (5+3) - (4+2) {commutative law}

open the parenthesis

(4+2) - (5+3)= 4+2-5-3 (note that minus times plus will give minus)

<em>Hence the expressions that best describe this situation are;</em>

1.  (4+2) - (5+3)

2. (5+3)-(4+2)

3. (4+2) - 5 -3

8 0
2 years ago
Julie is selling candy bars to raise money for new band uniforms. Candy bar X sells for $2 and candy bar Y sells for $3. Julie n
xxMikexx [17]
The answer to the question is c
7 0
2 years ago
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The Answer is 8 for, "The product of 32 and an unknown number subtracted from 435 is 179.
nirvana33 [79]
Putting this into an equation looks like this:

435 - 32<em>x</em> = 179

-32<em>x</em> = -256

<em>x</em> = 8


The answer <em>is</em> 8. Well done.
3 0
2 years ago
The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard devia
Alla [95]

Answer:

z=5

Step-by-step explanation:

We have been given that the The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard deviation of $4,000.

To solve our given problem we will use z-score formula.

z=\frac{x-\mu}{\sigma} where,

z=\text{z-score},

x=\text{Sample score},

\mu=\text{Mean},

\sigma=\text{Standard deviation}

Upon substituting our given values in z-score formula we will get,

z=\frac{54,000-34,000}{4,000}

z=\frac{20,000}{4000}

z=5

Therefore, the z-score of a company employee who makes an annual salary of $54,000 is 5.

4 0
2 years ago
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What is the surface area of the regular pyramid below
Alenkinab [10]

S=14\times14+4(\frac{14}{2}\times18) \\S=196+4(7\times18) \\S=196+4\times126 \\S=196+504 \\S=\boxed{700}

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2 years ago
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