On a multiple-choice test, a student has four possible choices for each question. The student receives 1 point for a correct answer and loses ¼ point for an incorrect answer. If the student has no idea of the correct answer for a particular question and merely guesses, what is the student's expected gain or loss on the question? Suppose you were using an

Answers

Answer 1

Answer:

1 / 16

Step-by-step explanation:

Number of options = 4

Number of correct answers = 1

Number points gained for a correct answer = 1

Number of points lost for an incorrect answer = 1/4 = 0.25

Probability of choosing a correct option = 1/4

Probability of choosing an incorrect option = 3/4

x ____ 1 ______ - 1/4

P(x) __ 1/4 ______ 3/4

Expected gain or loss :

E(x) = Σx*p(x)

E(x) = (1 * 1/4) + (-1/4 * 3/4)

E(x) = 1/4 - 3/16

E(x) = (4 - 3) / 16

E(x) = 1 /16

A gain of 1/16


Related Questions

Alec drew a scale drawing of an arcade. The scale of the drawing was 8 inches : 3 feet. If the actual length of an air hockey table is 9 feet, how long is the air hockey table in the drawing?

Answers

Answer:

[tex]24 = x[/tex]

Step-by-step explanation:

Write a proportion. Remeber that same units corresponds with each other.

[tex] \frac{8}{3} = \frac{x}{9} [/tex]

Cross multiply

[tex]72 = 3x[/tex]

[tex]24 = x[/tex]

On a survey, 7 students reported how many minutes it takes them to travel to school. Here are their responses.
13, 7, 12, 9, 8, 8, 16
Send data to calculator
Find the mean travel time for these students.
If necessary, round your answer to the nearest tenth.
I minutes
Х
5
?

need asap.

Answers

To find the average, add them all up. 13 + 7 + 12 + 9 + 8 + 8 + 16 = 73
Then divide by how many numbers there are, 73 divided by 7 = 10.4285714286

10.4285714286 rounded to the nearest tenth = 10.4
Hope this helps :D

7/8-1/2=
PLEASE HELP 15 POINTS

Answers

The answer to this question is 3/8

Plss help ! I will give you brainliest

Answers

Answer:

16 + -16 -4 ( 20 ) - 6)

Step-by-step explanation:

here is answer

Answer:

16 + -16 -4 ( 20 ) - 6)

Step-by-step explanation:

Please mark me brainliest

Solve the quadratic equation by factoring.
4x² - 20x + 28 = 3

A) x = 5
B) x = 5/2
C) x = 2/5
D) x = - 5/2

Answers

Answer:

B)  x = 5/2

Step-by-step explanation:

subtract 3 from each side to get:

4x² - 20x + 25 = 0

this is the difference of 2 squares:

(2x -5)² = 0

one solution, x = 5/2

Answer:

B)  x = 5/2

Step-by-step explanation:

4x² - 20x + 28 = 3

Move terms to the left side

4x² - 20x + 28 - 3 = 0

Subtract the numbers

4x² - 20x + 25 = 0

Use the quadratic formula

[tex]x =\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

4x² - 20x + 25 = 0

a = 4

b = -20

c = 25

x = [tex]\frac{-(-20)+\sqrt{(-20)^{2}-4x4x25 } }{2x4}[/tex]

Evaluate the exponent

x = [tex]\frac{20+\sqrt{400-4x4x25 } }{2x4}[/tex]

Multiply the numbers

x = [tex]\frac{20+\sqrt{400-400 } }{2x4}[/tex]

Subtract the numbers

x = [tex]\frac{20+\sqrt{0} }{2x4}[/tex]

Evaluate the square root

x = [tex]\frac{20+0 }{2x4}[/tex]

Add zero

x = 20 / 2 x 4

Multiply the numbers

x = 20 / 8

Cancel terms that are in both the numerator and denominator

x = 5/2

the mode of 100 120 120 140 140 100

Answers

Answer:

100, 120, 140

Step-by-step explanation:

The mode is the value that occurs most often in the sequence. All the numbers occur twice

Based on the data given in the table,
which is a reasonable estimate of
the download time of a 600-kilobyte
A 10 seconds
B 12 seconds
C 15 seconds
D 17 seconds

Answers

Answer:

C. 15 seconds

Step-by-step explanation:

It wouldn't be A, because 10 seconds can download 348 kilobytes, it wouldn't be B too as it would be at about 400+ kilobytes, the only possible answer is 15 seconds as the last option takes 17 seconds for 715 kilobytes.

Find the area. The figure is not drawn to scale.

Answers

Answer:

13.8cm

Step-by-step explanation:

formula

b x h / 2

6.9 x 4 / 2

= 13.8

Remove the largest possible common factor. Check your answer by multiplication.
35x3 + 21x2 + 28x

Answers

Answer:

7x

Step-by-step explanation:

what is (100×23)+46
also i just need my question to be longer so hi​

Answers

Answer:

(100×23)+46=2346

Step-by-step explanation:

thats what my calculator said sheeesh seeesh can I get brainliest sheesh sheeesh

what is volume triangluar prism width of 6, length of 5, and a height of 13

Answers

Answer:

1

4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

Step-by-step explanation:

I don’t really know how to explain it’s sry.

Help graph math brainliest and I will add you

Answers

The answer is D.........

helpppp helping my sister

Answers

Answer:

i wanna say scalene is the first and thrid triangle. The second one is the 5th triangle and the rest go into the last catigorrie

Step-by-step explanation:

Find the volume of the cylinder.

Answers

Answer:

Step-by-step explanation:

V=πr^2h is the equation for volume of a cylinder.

the radius is half of 50 so 50/2=25.

then 75 is the height so you plug the vaules in

V=(3.14)((25)^2)(75)

then multiply and you get 147187.5 rounded to the nearest whole number that is 147188

hope this helps :)

Can someone please help me

Answers

Answer:

I belive the answer would be B

Step-by-step explanation:

3 ( x + 8) = ?



show work please!!

Answers

Answer:

Step-by-step explanation:

3(x + 8)

3x + 24

That's all I got. The image is so blurry that I am uncertain how to proceed.

If you are able to describe what the image says, I can definitely answer the question

Find the volume! Please help

Answers

Answer:

900 in3

Step-by-step explanation:

When you multiply each of the dimensions you get 900 and since you are measuring volume, which has three dimensions, you would add "in3" at the end.

Please help me I’m struggling

Answers

Answer:

i think it's a

hope this helps :)

Find the perimeter of a triangle with the given vertices
A: (-3,0) B: (0,4) C:(3,0)

Answers

Answer:

To find the perimeter of the triangle, find the lengths of each side of the triangle using the distance formula. Use the distance formula to find the length between point A and B, B and C, C and A. Then add all three lengths together to get the perimeter.

Step-by-step explanation:

6 and if not 6 10

Alyssa attends football games at her school. At each football game, she buys a bottle of water for $0.75 and a candy bar for dollars. Select all expressions that represent the amount of money, in dollars, Alyssa spends after attending 6 football games.Immersive Reader (10 Points) 6(0.75)() 6(0.75) + 6() 6 + 0.75 + x (6 + 0.75)(6 + )

Answers

DO NOT CLICK THE LINK THE OTHER PERSON WHO ANSWERED SAID. PLEASE DONT

NEED HELP ASAP!!!!! Can someone help me???

Answers

Answer:

F = 6x

O = -3x

I = 10x

L = -5

Step-by-step explanation:

FOIL follows the formula:

(a + b)(c + d) = ac + ad + bc+ bd

Answer:

F: (3x) (2x) = 6x^2

O: (3x) (- 1) = -3x

I: (5) (2x) = 10x

L: (5) (-1) = -5

What is the absolute value equation below:
|x|=7∣

Answers

THE ANSWER IS 7 because i did the math

Find the volume of the rectangular pyramid.
16 ft
-Ft--
2 ft
7 ft
Figure not drawn to scale.
Answer:
ft 3

Answers

The volume of the pyramid is 3 feet
The answer should be 3 ft

Linear or Non Linear

The cost to ride in a taxi that initially charges $4 plus $0.25 per half mile

Answers

i’m not 100% sure but i think it’s Linear.

Which is a reasonable conclusion based on the data?
A. As the mass increase, the value increase in a nonlinear association

B. As the mass increase, the value increase in a linear association

C. As the mass increase by 0.1 gram, the value increases $100

D. There is no association between the mass and value

Answers

Answer: b

Step-by-step explanation: :)

What did the inventor of the 10-ton truck so often say?

Answers

Answer:

He often said "Diesel Be Good"

Step-by-step explanation:

can someone please help me

Answers

1.
x=−2±6i
———
5

2. x= 2 ± i√2

An item that usually sells for $189 is on sale for 25% off. Find the sale price

Answers

Answer:

$141.75

Step-by-step explanation:

189*.75

1-.25 b/c 25 percent off

The sale price is $141.75

HELPPP ASAP 10 POINTS

Answers

Answer:

circumference = 25.43 in

Step-by-step explanation:

circumference = πd

circumference = (3.14)(8.1) = 25.43 in

2.
Graph the inequality.

Match the graph to the correct inequality below.


A. x > 2

B. x [tex]\leq[/tex] 2

C. x < 2

D. x [tex]\geq[/tex] 2

Answers

It’s C since it is open and x is less than 2. We can plug in any number on the number line to see if this makes sense.
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