There are 5 questions on a multiple choice exam, each with five possible answers. If a student guesses on all five questions, what is the probability the student gets two questions correct? Express your answer as a percent rounded to the nearest tenth.

3.8%

18.7%

20.5%

16.9%

Answers

Answer 1

Answer:

[tex]20.5\%[/tex]

Step-by-step explanation:

Let's write out a case for two specific questions being correct and the rest being incorrect:

[tex]\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}[/tex],

The [tex]\frac{1}{5}[/tex] represents the chances of getting the question correct, as there are 5 answers and 1 correct answer choice.

The [tex]\frac{4}{5}[/tex] represents the chances of getting the question incorrect, as there are 5 answers and 4 incorrect answer choices.

The equation above does show the student getting two answers correct and three answers incorrect, but it only shows one possible case of doing so.

We can choose any two of the five questions to be the ones the student gets correct. Therefore, we need to multiply this equation by the number ways we can choose 2 from 5 (order doesn't matter): [tex]\binom{5}{2}=10[/tex].

Therefore, the probability the student gets two questions correct is:

[tex]\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \binom{5}{2}=\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot \frac{4}{5}\cdot 10=0.2048\approx \boxed{20.5\%}[/tex]


Related Questions

How do I find the angles

Answers

Answer:

if there smaller than 90 degrees then it's acute if the angle is bigger then 90 degrees it's obtuse

Step-by-step explanation:

You buy 11 bagels with a $20 bill. How much change do you receive?

Answers

Answer:

You would receive $13.75

Step-by-step explanation: What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.

I hope this helps and makes sense to you. Please mark brainlist!

Step-by-step explanation:

Answer:

You would receive $13.75

Step-by-step explanation:

What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.

Hope u understand

Please mark brainliest

Thank You

Miguel bikes 23 km per hour and starts at mile 10. Gabby bikes 28 km per hour and starts at hour 0. Which system of linear equations represents this situation

Answers

Answer:

Miguel: d = 23t + 10

Gabby: d = 28t

Step-by-step explanation:

We can write the equation for each case in slope-intercept form, d = mt + b

Where,

d = total distance

t = time

m (rate) = distance/hr

b = initial value

✔️ Miguel:

m = 23 km/hr

b = 10 mile

Equation: subtitle the values into d = mt + b

d = 23t + 10

✔️ Gabby:

m = 28 km/hr

b = 0 mile

Equation: subtitle the values into d = mt + b

d = 28t + 0

d = 28t

hey! i’ll give brainliest please help

Answers

looking at this it looks like the answer is “Tension between the characters two desires” since external conflict happens with the character and something other then themselves

Pls hurry


Rafael writes an expression to represent "a number, n, decreased by thirty-one." Then he evaluates that expression if
n-29. Which statements are true about the expression and its evaluation? Check all that apply.
The correct expression is 31-n.
This is a subtraction expression.
This is an addition expression.
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n-31.
To evaluate the expression, subtract 31 from 29.

Answers

Step-by-step explanation:

To evaluate, substitute 29 for the variable in the expression.

To evaluate, substitute 31 for the variable in the equation.

To evaluate the expression, add 31 to 29.

The correct expression is n-31.

To evaluate the expression, subtract 31 from 29Pls hurry

Rafael writes an expression to represent "a number, n, decreased by thirty-one." Then he evaluates that expression if

n-29. Which statements are true about the expression and its evaluation? Check all that apply.

The correct expression is 31-n.

This is a subtraction expression.

This is an addition expression.

To evaluate, substitute 29 for the variable in the expression.

To evaluate, substitute 31 for the variable in the equation.

To evaluate the expression, add 31 to 29.

The correct expression is n-31.

To evaluate the expression, subtract 31 from 29..

Could you help ? It says “ a nursery plants a new tree and attaches a guy wire to help support the tree while it’s roots take hold. An eight foot wire is attached to the tree and to a stake in the ground the angle of elevation of the connection with the tree is 42 degrees . Find the nearest tenth of a foot, the height of the connection point on the tree” .

Answers

Answer:

5.4'

Step-by-step explanation:

See diagram attached.

The 8' wire is the hypotenuse of the triangle, with a base angle of 42°.

Hence the height is the length of the hypotenuse multiplied by sin(42°)

H = 8sin(42°) = 8 *0.6691 = 5.353'

(see similar or identical question 23903470)

Find the area of the bolded sector in the circle below.

Leave your answer in terms of pi. Just type what number should be multiplied to the pi)

area sector = ?? π

Answers

Answer:

Area of the sector formula:

A = πr²(θ/360)

We have:

θ = 120r = 12 mi

Substitute values and find A:

A = π(12²)(120/360) = 144π/3 = 48π

Hey saw this man Turns 250 per on per week Plus a 10% commission all sales over 5000 in one week hey cells Toto 14,000 what were his earning that week A.$1,050 B.$1,150 C.$400 D.$2,150

Answers

Answer:

B.$1,150

Step-by-step explanation:

Given data

Weekly earning= $250

commission= 10%

Sales= $14000

Hence the expression for his total earnings per week is

y= 0.1x-250

x= sales

y= total earning

y=0.1*14000- 250

y= 1400-250

y= $1150

Need help on this please so confusing

Answers

Answer:

x = 37 if im correct

Step-by-step explanation:

Help !Which of the following functions are linear?
Function A
Function b
Function a and b
Or none of the above

Answers

Answer:

function A

Step-by-step explanation:

_______________

Function A is correct one

There are 60 players on a football team. 2/3 of the players are offensive team players 1/12 of the players are special team players The reaming players are defensive players. Each team member is either an offensive, defensive, or special team player. The number of defensive players is -

Answers

Answer:

15

Step-by-step explanation:

2/3 x 60 = 40

1/12 x 60 = 5

60 - 40 - 5 = 15

Please help with this

Answers

Answer:

f

Step-by-step explanation:

Select all the equations that can be represented by a straight line when graphed on the coordinate plane

Jack took out a 6-year loan for $25,000 to purchase a boat at a 4.5% interest rate. If the interest is compounded monthly, what will he have paid total over the course of the loan?

Answers

Answer: $32,732.58

Step-by-step explanation:

To calculate the total loan payment over the course of the loan period, use the future value formula:

= Loan amount * (1 + rate) ^ number of years

As this loan is compounded monthly, you need to convert certain terms to monthly figures:

Number of periods = 6 * 12 months = 72 months

Interest = 4.5 / 12 = 0.375%

Total payment:

= 25,000 * ( 1 + 0.375%)⁷²

= $32,732.58

He will have to pay $34,236.31 over the course of the loan.

Using the compound interest formula expressed as:

[tex]A =P(1+r/n)^{nt}[/tex]

P is the principal = $25000

r is the rate = 4.5% = 0.045

t is the time in years = 6 years

n is the compounding amount = (12)monthly

Substitute into the formula:

[tex]A =25000(1+0.045/12)^{12(7)}\\A=25000(1.36945)\\A = \$34,236.31[/tex]

Hence he will have to pay $34,236.31 over the course of the loan

Learn more on compound interest here: https://brainly.com/question/24274034

what is the value of 24,093 + 3?
A. 831

B. 8031

C. 8301

D. 8310

Answers

Answer:

B (8,031)

Step-by-step explanation:

None of these could be 24,093 + 3 so I'm gonna assume you meant ÷ instead of +

On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article.

Answers

Let the cost price of article be x :

x + x × ( 15/100 ) = 2300

x + x × ( 5 × 3 / 5 × 20 ) = 2300

x + x × ( 3 / 20 ) = 2300

x + ( 3 × x / 20 ) = 2300

x + ( 3x / 20 ) = 2300

( 20x / 20 ) + ( 3x / 20 ) = 2300

20x + 3x / 20 = 2300

23x / 20 = 2300

Multiply both sides by 20

( 23x / 20 ) × 20 = 2300 × 20

23x = 2300 × 20

23x = 23 × 2000

Divide both sides 23

23x ÷ 23 = ( 23 × 2000 ) ÷ 23

x = Rs 2000

A ball is launched out of a cannon that is 24 feet off the ground. The height of the ball after "t" seconds is represented by
h(t) = -16t² + 20x + 24
How many seconds will it take for the to reach the ground?

Answers

Given:

The height of ball is represented by the below function:

[tex]h(t)=-16t^2+20t+24[/tex]

To find:

The number of seconds it will take to reach the ground.

Solution:

We have,

[tex]h(t)=-16t^2+20t+24[/tex]

At ground level, the height of ball is 0, i.e., [tex]h(t)=0[/tex].

[tex]-16t^2+20t+24=0[/tex]

Taking out greatest common factor.

[tex]-4(4t^2-5t-6)=0[/tex]

[tex]4t^2-5t-6=0[/tex]

Splitting the middle term, we get

[tex]4t^2-8t+3t-6=0[/tex]

[tex]4t(t-2)+3(t-2)=0[/tex]

[tex](t-2)(4t+3)=0[/tex]

Using zero product property, we get

[tex](t-2)=0[/tex] and [tex](4t+3)=0[/tex]

[tex]t=2[/tex] and [tex]t=-\dfrac{3}{4}[/tex]

Time cannot be negative, so [tex]t=2[/tex].

Therefore, the ball will reach the ground after 2 seconds.

A test was given to 120 students, and the scores approximated a normal distribution If
the mean score was 72 with a standard deviation of 7, approximately what percent of the
scores were 65 or higher?

Answers

Answer:

84.13% aka. 101/120 students

Step-by-step explanation:

P(X>65) = normalcdf(65,100,72,7) = 0.8413130544 ≈ 0.8413 ≈ 84.13%

Therefore, about 84.13% of the scores were 65 or higher, meaning that about 101 students got a score of 65 or higher.

84% of students have a score of 65 or higher.

What is Normal Distribution?

'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'

According to the given problem,

For this sum, the mean and standard deviation are mentioned.

Mean = 72

S.D = 7

We will be using the bell curve of normal distribution for solving this sum.

Area under the curve that represents more than 65:

=  34% + 34% + 13.50% + 2.35% + 0.15%

=  84%

Hence, we can conclude that 84% of the scores were 65 or higher.

Learn more about normal distribution: https://brainly.com/question/13759327

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Leonardo put a 600 ring on layaway and putting a 10% down payment to pay $65 a week . How many weeks will it take for him to pay off the ring

Answers

600-10% (10% is 60)
540/65= 8.30
9 weeks

question in photo. i'll give brainliest to whoever gets it right/done quickest. thank you!

Answers

Answer:

Daniel's time: 3 minutes 45 seconds

Brandon's time: 3 minutes 27 seconds

Step-by-step explanation:

Well, 5 feet per every second so side A would be 327.6 / 3 = 109.2

then 489 / 5 = 97.8 add them two you get 207 seconds which is 3 minutes and 45 seconds for  Daniel.

For Brandon you have to find the hypotenuse of the triangle which in short is 588.6 / 3 = 196.2

This was my first answer on this so though Its problebly not the best I hope I did something to help. ;-;


Help me please it’s not a or b btw

Answers

Answer:

from what I'm seeing the answer is C

C^^^^ !!!! ahhahahahha

Use the function r(x)=2x+1
if r(b)=19 what is the value of b?

Answers

Let's think of this like a point. We know the y-value, but not the x-value. Therefore, in order to find b, we should plug in our known y-value, 19, for r(x).

19 = 2b + 1 || We can leave it as x in our equation or change it to b. Either way you will get the same answer. I changed it to b in this case just to follow through with what the question is asking.

18 = 2b

b = 9

Hope this helps!! :)

Answer:

9

Step-by-step explanation:

They are asking what value of x can you input into 2x+1 so that the outpot is 19.

In other words, you need to solve 2x+1=19.

Subtracting 1 on both sides gives: 2x=18.

Dividing 2 on both sides gives: x=9.

So r(9)=19 since 2(9)+1 is 19.

A sprinkler sprays water a distance of 10.2 m in a circular pattern How much area does the sprinkler cover in one complete rotation? Use 3.14 for n and round to the nearest tenth.​

Answers

Answer:

64.1

Step-by-step explanation:

2 time 3.14 times 10.2

64.056

64.1

What is the value of B for the following triangular prism?



120 cm 2
60 cm 2
5 cm 2
2.5 cm 2

Answers

Step-by-step explanation:

[tex] \frac{1}{2} (10)(12) \\ \frac{1}{2} (120) \\ 60 {cm}^{2} [/tex]

What is one possible solution to the equation you wrote in #1, in the form (S,H)
O (20,10)
O (5,10)
O (20,20)
0 (0,40)

Answers

0,40 :) hope u get it right

Find the exact value of sin 2pi/3

Answers

Answer:

2 x 3.14 = 6.28

6.28 divided by 3 = 2.093 around 2.1

¿Cómo se mide el grado de una ecuación algebraica?

Answers

Answer: El grado de una ecuación lo marca el monomio (o término) de mayor grado absoluto. 5x + 3 = 2x + 1 Ecuación de primer grado (cada término posee solo una incógnita y su exponente es uno) . 5x + 3 = 2x 2 + x Ecuación de segundo grado.

5. A construction area has 6 cylindrical posts protecting the
equipment. They are filled with sand to reinforce them. If each
cylinder is 4 feet tall and has a diameter of 1 foot, how much sand
was needed to fill the cylinders?
Record your answer and fill in the bubbles on your answer. (If it’s wrong or random you will be reported)
document. Be sure to use the correct place value.

Answers

Answer: what’s the answer ?

Step-by-step explanation:

If each cylinder is 4 feet tall and has a diameter of 1 foot then the amount of sand needed to fill the cylinders is 19 cubic feet.

Given that there are 6 cylindrical posts protecting the equipment

To find tge amount of sand needed for cylinders,

We need to find the volume of each cylinder.

The cylinder is 4 feet tall and has a diameter of 1 foot,

Height is 4 feet

Diameter is 1 foot and radius is 1/2 feet.

Volume of cylinder = πr²h

=3.14×(1/4)(4)

=3.142 cubic feet.

As there are six cylinders.

Multiply 6 with 3.142

Amount of sand needed = 6×3.142

= 18.852 cubic feet.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

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Diedra rolls an unbalanced die 72 times and gets a "6" 21 times. If she rolls the die 15 more times, which of these is the most reasonable prediction of the number of times she will not roll a "6"?

Answers

By using the relative frequency, we can expect to not roll a "6" in 11 rolls.

How many times can we expect to not roll a "6"?

We know that in a total of 72 rolls, the outcome is "6" 21 times.

Then the relative frequency is:

F = 21/72 = 0.292

Then we can expect that in N rolls, we will get (0.292)*N times a "6".

So the number of times that we will not get a 6, is:

(1 - 0.292)*N

In this case is N = 15, then we get:

(1 - 0.292)*15 = 10.62

Rounding to the next whole number we get 11, this means that we can expect to not roll a "6" in 11 rolls.

If you want to learn more about relative frequency:

https://brainly.com/question/3857836

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ASAP
-WILL MARK BRIANIST

Answers

Answer:

part A: 83-8=75

part B: b represents chocolate bars so the answer would be 75 chocolate bars. good luck with the test and have a nice day!

Step-by-step explanation:


Yasmin swims at her local swimming pool.
She pays $4.65 each time she visits the pool.
Calculate the total amount of money she pays for 7 visits to the pool.

Answers

$31.50 because if she has to pay 4.65 and she went 7 times u have to multiply the two to get your answer
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