On a quiz there are four multiple-choice questions worth 3 points each and two true/false questionsworth 1 point each . Each multiple-choice question has five possible choices . If a student randomlyguesses on each question , what is the expected value of the student's score on the test ?

Answers

Answer 1

Answer:

The expected value of the student's score on the test is 3.4.

Step-by-step explanation:

Multiple choice questions:

worth 3 points.

Five possible choices, one of which is correct. So the expected value of the student in each multiple choice question is:

[tex]m = 3\frac{1}{5} = 0.6[/tex]

True/false questions:

worth 1 point.

2 options, one of which is correct, so the expected value for each is:

[tex]t = 1\frac{1}{2} = 0.5[/tex]

What is the expected value of the student's score on the test ?

4 multiple choice, two true-false. So

[tex]E = 4m + 2f = 4(0.6) + 2(0.5) = 2.4 + 1 = 3.4[/tex]

The expected value of the student's score on the test is 3.4.


Related Questions

While walking outside on a field trip 75%, or 15, of the students in the class wore jackets. Find the number of

students in the entire class.

Answers

Answer:

20

Step-by-step explanation:

Do 15 divided by 0.75

Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use

Answers

Answer:

x = 10% saline solution = 190 mililiters

y = 60% saline solution = 10 mililiters

Step-by-step explanation:

Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use

Let

x = 10% saline solution

y = 60% saline solution

x + y = 200

x = 200 - y

10% × x + 60% × y = 200 × 12.5 %

Hence:.0.1x + 0.6y = 25

Substituting 200 - y for x

0.1(200 - y) + 0.6y = 25

20 - 0.1y + 0.6y = 25

- 0.1y + 0.6y = 25 - 20

0.5y = 5

y = 5/0.5

y = 10 milliliters

Solving for x

x = 200 - y

x = 200 - 10

x = 190 mililiters

what is the chancr of rolling a 7 or a 9 on two dice .

Answers

Answer:

5/18 0r 27.77%

Step-by-step explanation:

I am assuming both are six-sided and have numbers 1-6 on each of the six sides. There are 36 possible roll combinations. Of the 36, four result in 9 and six result in 7. Therefore there is a 10/36 chance of rolling a 7 or a 9. That can be simplified however by dividing by two on both numbers. That equals 5/18. As a percent you would divide 5 by 18 and get 0.2777. After that you multiply 0.2777 by 100 to get 27.77%.

The line passes through the points (0, 2) and (-2, 2) is parallel to the line:

Answers

Answer:

Undefined

Step-by-step explanation:

you can't divide by 0

(-2-0)/(2-2)

y = 2x + 1 y = 3x - 1

Answers

Answer:

i think the answer is B

Step-by-step explanation:

5=6-1

5=5

just need to get the equations equal together then solve for x which will give u the x-coordinate of intersection then u need to put it in which equation u want to find the y-coordinate of intersection point :

2x + 1 = 3x - 1

Add both sides 1

2x + 1 + 1 = 3x - 1 + 1

2x + 2 = 3x

Subtract both sides 2x

2x - 2x + 2 = 3x - 2x

x = 2

( This is the x-coordinate of intersection point )

_________________________________

Now to find the y-coordinate of the intersection point we have to put the value of x we found in of the equations :

y = 2x + 1

y = 2(2) + 1

y = 4 + 1

y = 5

_________________________________

Thus :

intersection point = ( 2 , 5 )

So the correct answer is option B .

Question 9
The triangles shown are

Answers

Answer:

The triangles shown are proportional

Step-by-step explanation:

Two parallel lines are cut by a tranversal so the opposite and corresponding angles are congruent.

B = N

M = M

12 x 2 = 24 , So the sides of the triangle are proportional meaning they are parallel.

Side MN would be 12

Side MP would be 16

The temperature in Elmwood is 5°C. The temperature in Gainesville is 9°C cooler than the temperature in Elmwood. The temperature in Knowlton is 12°C warmer than the temperature in Elmwood. Which equation shows the temperature in °C in Knowlton?

Answers

This sounds like a m/c question. The answer should be something like 5+12=17. Temperature of Gainesville is useless, so disregard that.

Which of these is the cross section if the slice is made perpendicular to the base?

A. square
B. triangle
C. rectangle
D. rhombus


***(NO LINKS AND ANSWER SERIOUSLY)***​

Answers

Hi there!

[tex]\large\boxed{\text{ C. Rectangle}}[/tex]

If cross sections were made perpendicular to the base, they would assume the shape of the lateral sides.

Thus, the cross sections would be rectangles. The correction answer is C.

A corporate team-building event costs $2 for every attendee. Write an equation that shows the relationship between the attendees x and the cost y.

Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

y = 2x

Step-by-step explanation:

x represents the amount of attendees. y is the total amount of money they get.


A cone has a height of 8.4 centimeters and a base with a radius of 5.2 centimeters.
What is the
volume of the cone?
75.62 cubic cm
713.21 cubic cm
237374 cubic cm
2,571.14 cubic cm

Answers

Cone Volume = (π • r² • h) ÷ 3


Cone Volume = (π • (5.2)² • 8.4) ÷ 3

Cone Volume = (3.14159 * 27.04 * 8.4) / 3

Cone Volume = 237.85606208

The following data represents the amount of snow snow that fell in a week.
Daily snowfall
Day
Snowfall (inches)
Sunday
9
Monday
7
Tuesday
6
Wednesday
10
Thursday
3
Friday
4
Saturday
6
The median of the numbers is

Answers

The median of the numbers is 6.

The stem-and-leaf plot shows the number of broken crayons in each crayon box at a preschool. What is the greatest number of broken crayons in a box? A 7 crayons B 47 crayons c 477 crayons d 1469 crayons

Answers

Answer:

47

Step-by-step explanation:

Values on a stem and leaf plot can be obtained by using the key :

Stem | leaf

With each value in the stem representing the first digit and the value in the leaf denoting the second digit.

The highest stem value here is 4 and the highest leaf value is 7.

Hence, the highest number of broken crayon is 47.

Stewart has 18 birds remaining in avery. However he did have 29 until Tim left the door open. There are 8 blue birds and 4 Galahs. What percentage flew away?

Answers

Answer:

37.9%

Step-by-step explanation:

percentage that flew away = number that flew away /total number of birds x 100

number that flew away  = 29 - 18 = 11

9/29 x 100 = 37.9%

Can someone help me? Fast!

Answers

Answer:

1/3 n - 3 > 6; n = 9

Step-by-step explanation:

1/3(9) - 3 > 6

3 - 3 > 6

0 > 6

I am doing my homework and am completely stumped on this one... help please?


Describe the symmetry of the figure. Identify lines of symmetry, if any. Find the angle and the order of any rotational symmetry.

Answers

Question:

Describe the symmetry of the figure. Identify lines of symmetry, if any. Find the angle and the order of any rotational symmetry.

Answer:line symmetry and rotational symmetry; 90°; order 4

Hope it helps

-------☆゚.・。゚ᵴɒƙυᴚᴀ_ƨȶäᴎ❀

According to a Numbeo report, the average cost of milk in the US today is $3.12 per gallon What is the equivalent cost of milk in Pakistani rupees per liter? 1$= 155.00 rupees 1 gallon=3.8 liters

Answers

Answer:

40.78 rupees per liter

Step-by-step explanation:

Given data

The average cost of milk in the US today is $3.12 per gallon

1$= 155.00 rupees

1 gallon=3.8 liters

Hence the average cost in pakistani rupees will be

=155/3.8

=40.78 rupees per liter

The distance between mumbai and dubai is about 1940 km if the cruising speed of the emirates flight is 595 km/hr how long does it take to reach dubai from mumbai

Answers

Answer:

3.26 hours

Step-by-step explanation:

speed = distance / time

595 = 1940 / t

t = 1940 / 595  = 3.26 hours

or

find the area of the following figure​

Answers

Answer:

6

Step-by-step explanation:

First side times hight or 3x4=12

12 is a whole square, but this is a triangle (Half of a square)

So we divide by 2 to find the area. 12/2=6

6

Answer:

Area=6

Step-by-step explanation:

Since the measurements of this right angle is 3 and 4 you have to multiply them together to get 12 but then you must divide that answer by 2 making the answer 6

How many different permutations can be formed using all the digits in 012313?
answers:
60
180
360
720

Answers

Option 180 would be correct
The Answer to this question is:
180

The soccer team scored three goals in their first game seven goals in their next game in two goals
in their third game what was the mean number of the goal scorer for three games

Answers

Answer:

4

Step-by-step explanation:

3+7+2

12

12/3

4

Select the correct answer from each drop-down menu.
The values of p from {1, 2, 3, 4, 5, 6, 7, 8, 9} that make 4p − p < 13 true are
. The values of p from the set that make 4p − p > 13 true are
.

Answers

Answer:

p=1, 2, 3

Step-by-step explanation:

p(4-1)<13

p3<13

p<13/4

p<3.25

p=1, 2, 3

22 is what percent of 900?
I GIVE BRAINLIEST

Answers

Answer:

2.44%

Step-by-step explanation:

[tex]\frac{22}{900} *100%[/tex]= 2.44%

Which function has the least rate of change?

Answers

yes, you’re correct; while the last answer choice is negative, that only implores it has a negative trend, a rate of change of 1 is the smallest in numeric value

WILL GIVE BRAINLIEST!
Ms. Sally is ordering sets of place-value blocks for the 3rd, 4th, 5th graders. She want one set for each student, and there are 6 sets of blocks in a carton. How many cartons should Ms. Sally order?

3rd grade - 48 students
4th - 43 students
5th - 46 students
6th - 50 students

Answers

Answer:

32 cartons

Step-by-step explanation:

Total sets needed

48 + 43 + 46 + 50 = 187

Cartons needed

187 / 6 = 31 1/6

need 32 cartons

Answer:

32 cartons

Step-by-step explanation:

add up all of the students = 187

divide by 6 = 187/6 = 31.16

round = 32 cartons

HELP ASAP, i don't get this

Answers

I think they want you to write out Pythagorean’s theorem since it’s a right triangle and the formula is c^2=a^+b^2. So the first box would be 8 (so the c) and 5 would be the next box (so the a). You can sketch the right triangle and see that the length 8 is the hypotenuse and 5 is one of the lengths.

which ordered pair is a solution of the equation

Answers

Answer:

A

Step-by-step explanation:

y - 3 = 5(x - 2)

y - 3 = 5x - 10    Add 3 to both sides

y = 5x - 7

Let x = 2

y = 5*2 - 7

y = 3

So (2,3) works

Let x = 3

y = 5*3 - 7

y = 15 -7

y = 8

The answer is A

HELP ME PLZ IM CRYING predict the number of catfish kathy will catch next week if she catches 54 fish
6 carp
8 bass
7 catfish

Answers

Answer:

18

Step-by-step explanation:

Take a breath :) . I've got your back.

If she caught 6 carp + 8 bass + 7 catfish, she caught 6 +8 +7 fish total = 21.

7 of 21 were catfish.

If she catches 54 fish instead of 21, (and we have to assume the ratio stays the same), how many will be catfish?

Ratios are 7:21 and x:54, but we'll write them as fractions:

7/21 = x/54

Then cross multiply:

21x = (54)(7)

21x = 378

divide both sides by 21

x = 18

If she catches 54 fish total, we predict she will catch 18 catfish.

---------------------------------------------

If we go back to the original 7/21, we can reduce that to 1/3. Then ask what is 1/3 of 54? 18.

Cherry pies cost $12 each. Apple pies cost $9 each. You sold 20 pies and brought in $198. How many apple pies did you sell? How many cherry pies did you sell?

Answers

Answer:

You sold 6 cherry pies and 14 apple pies.

Step-by-step explanation:

It's a system of equations problem.

12C + 9A = 198

A + C = 20

A = 20 - C

12C + 9(20 - C) = 198

12C + 180 - 9C = 198

3C + 180 = 198

3C = 18

C = 6

A + 6 = 20

A = 14

Answer:

Cherry Pie=$12 per 1

Apple pie= $9 per 1

Let x represent number of Cherry Pies sold.

let y represent number of Apple pie sold

x + y = 20---------------1

12x + 9y = 198---------2

From eqn 1

x=20-y

Substitute into eqn 2

12x + 9y = 198

12(20-y) + 9y=198

240 - 12y + 9y = 198

240 - 3y =198

3y = 240 - 198

3y=42

y=14.

x + y =20

x + 14=20

x=20-14

x=6.

So...

Its means that I SOLD 6 CHERRY PIES AND 14 APPLE PIES

Lin charges $5.50 per hour to babysit. The amount of money earned, in dollars, is a function of the number of hours that she babysits.

Which of the following inputs is impossible for this function?
A:
-1
B:
2
C:
5
D:
8

Answers

-1 would be impossible.Since we are using the format of time there is no possible way to have a negative value

What are the following algebraic equations? You need to post those if you want the answer.

What of the following is NOT a formula for circumference?

a) C=2πr

b) C=πr

c) C=πd

Answers

Answer:

The formula for circumfernce is C=pixd D is diameter

Step-by-step explanation:

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