A teacher gave a 3-question multiple choice quiz. Each question had 4 choices to select from. If the a student completely guessed on every problem, what is the probability that they will have 2 or less correct answers?

Answers

Answer 1

Answer:

0.9844

Step-by-step explanation:

This is a binomial probability problem.

Probability of getting a correct answer: p = 1/4

Probability of getting an incorrect answer: q = 3/4

Number of questions; n = 3

Thus;

probability of 2 or less correct answers is; P(x ≤ 2) = P(X = 2) + P(X = 1) + P(X = 0)

From binomial probability the formula is;

P(X = x) = C(n, x) × p^(x) × q^(n - x)

P(X = 2) = C(3, 2) × (¼)² × (¾)¹

P(X = 2) = 3 × 0.0625 × 0.75

P(X = 2) = 0.1406

P(X = 1) = C(3, 1) × (¼)¹ × (¾)²

P(X = 1) = 3 × 0.25 × 0.5625

P(X = 1) = 0.4219

P(X = 0) = C(3, 0) × (¼)^(0) × (¾)³

P(X = 0) = 0.4219

P(x ≤ 2) = 0.1406 + 0.4219 + 0.4219

P(x ≤ 2) = 0.9844


Related Questions

Select the proportion of sides relationships that would prove ABC is congruent by the side angle side similarity theorem

Answers

AB/QR =AC/QS is the answer.

Mark and his three friends ate out at Applebee’s. (Hint* 4 total people)



Their bill totaled $52.35.



If they left the server a 20% tip, how much would each person pay splitting the bill evenly?

(Round to the nearest dollar and cent)

Answers

Answer:

16 each

Step-by-step explanation:

15.71

Answer:

each person $15.67=$15.7

Step-by-step explanation:

20/100*52.35=10.47

52.35+10.47=$62.68 total

62.68/4=15.67

each person $15.67 =15.7

Find the value of each variable. If your answer is not an integer, write it in simplest radical form with the denominator

Y=
Z=

Answers

Answer:

6

Step-by-step explanation:

1,500/25= 60

Now your gonna do

90

slope that falls between (0,20) and (20,85)

Answers

Answer:

13/4

Step-by-step explanation:

To find the slope we use the equation

m= (y2-y1)/(x2-x1)

   = (85-20)/(20-0)

    = 65/20

    = 13/4

HELPPP WILL GIVE BRAINLIST

Answers

Answer:

6. A

7. D

8. B

9. C

10. B

Step-by-step explanation:

Answer:

A D B C B

Step-by-step explanation:

Help asap! 20 pooints best answer for both questions

Answers

Both is D.

ax^2. Bigger a is, narrower it is.

-5 means goes down.

Answer:

Both of them would be D!

Step-by-step explanation:

Hope this helps, sorry if I am wrong.

Which equation has a graph parallel to the graph of
y = -2/3x + 2

Answers

Answer:

B

Step-by-step explanation:

The answer is b because the number is supposed to be next to the first number

Find the area and the circumference of a circle with diameter 8 ft.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.
ft
ft?
ft
8 ft
Area:
Circumference:
X Х
?

Answers

Answer:

Step-by-step explanation:

Circumference

C = 2*pi * r

pi = 3.14

r = d / 2

r = 8/2

r = 4 feet

C = 3.14 * 2 * 4

C = 18.84 feet.

Area

pi = 3.14

r = d/2

r = 8/2

r = 4

Area = 3.14 * 4^2

Area = 3.14 * 16

Area = 50.24 ft^2

PLEASE HELP ILL GIVE BRAINLIST

Answers

Answer:

B.

E.

Step-by-step explanation:

Answer:

A= 4.889

B= 5.06

C= 4.972

D= 4.992

E= 5.01

Step-by-step explanation:

YOUR WELCOMEEEE :>

please help me I DO NOT UNDERSTAND

Answers

Are they asking for the surface area?

The length of a rectangle is 5 units more than twice its width. Find an expression for the perimeter of the rectangle.

Answers

the width would be 10
length would be 15

Pleaseeee help! ASAP!

Answers

Answer:

Both slopes are as follows 1. 2 2. 2/5

Both equations are like

1.

16-12= 4

-----------=2

4-2=    2

=====

2.

10-4=  6

------------=2/5

20-5= 15

The Y intercept for both is as follows

1. 8

2. 2

I may be wrong on something but likely not and if I am sorry

What is the value of x?
0 12
O 10
06
08

Answers

Answer:

8

total degree inside pentagon is (n - 2) x 180 = 540

180-62 = 118

180-66 = 114

180-77 = 103

180-59 = 121

118+114+103+121 = 456

540 - 456 = 84

84 + 12x = 180

12x = 180-84

x = 96/12

x = 8

The value of x in the given pentagon is 8.

Option D is the correct answer.

What is a Pentagon?

A pentagon is a polygon that has five sides and five angles.

The sides and angles of a pentagon are not all equal unless it is a regular pentagon.

A regular pentagon has five equal sides and five equal angles.

We have,

For a pentagon, n = 5, so we have:

total degree = (5 - 2) × 180 degrees

total degree = 3 × 180 degrees

total degree = 540 degrees

Now,

Each angle makes a straight angle.

So,

77 + a = 180

a = 180 - 77 = 103

59 + b = 180

b = 180 - 59 = 121

c + 66 = 180

c = 180 - 66 = 114

d + 62 = 180

d = 180 - 62 = 118

Now,

a + b + c + d + e = 540

103 + 121 + 114 + 118 + e = 540

e = 540 - 456

e = 84

Now,

12x + 84 = 180

So,

12x = 180 - 84

12x = 96

x = 8

Thus,

The value of x is 8.

Learn more about the Pentagon here:

https://brainly.com/question/30182047

#SPJ7

what tell the hardware what to do and and how to do it

Answers

Answer:

I am assuming you are telling me to tell a piece of hardware what to do and how so in that case, Hammer go hammer in that nail by hitting yourself on its head so I can hang this painting. LOL

Step-by-step explanation:

I think I need better context ?

Plz plz plz helpppppplllpl​

Answers

Answer:

both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.

please mark as brainliest

Of the 45 staff members at SEMS ,9 were out with the flu one day in January. What percent of the teachers were at work today?

Answers

Answer:

80%

Step-by-step explanation:

Given that Of the 45 staff members at SEMS ,9 were out with the flu one day in January, it means that the number of people at work

= 45 - 9

= 36

As a percentage,

= 36/45 * 100%

= 4/5 * 100%

= 80%

The percent of the teachers were at work today is 80%

what is the average of 2,2,8and12​

Answers

Answer:

The average is of 2,2,8,12 is 6

Answer:

6

Step-by-step explanation:

2+2+8+12= 24/4= 6

hope this helped! :)

A lion weighs 7 times as much as a leopard. The combined weight of the cats is 480 pounds. What is the weight of each cat? I am so stumped on this question. :(

Answers

68.5714 because division.

Hence, the weight of each cat is [tex]68.57[/tex].

What is the division?

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.

Here given that,

A lion weighs [tex]7[/tex] times as much as a leopard. The combined weight of the cats is [tex]480[/tex] pounds.

So, the weight of each cat is [tex]\frac{480}{7}=68.57[/tex].

Hence, the weight of each cat is [tex]68.57[/tex].

To know more about the division

https://brainly.com/question/1575906

#SPJ5

The length of a rectangle is 1 foot more than twice the width. The area is 55 square feet. Find the length of the dimension of the rectangle.

Answers

Answer:

11 ft

Step-by-step explanation:

The formula for the area of a rectangle of length L and width W is

A = L * W.  

Represent the length, L, by 2W + 1 ("1 more than twice the width").  Then the area formula (above) becomes:

A = 55 ft^2 = (2W + 1)(W), which, when simplified, results in:

2W^2 + W - 55 = 0, whose coefficients are {2, 1, -55}.  Let's use the quadratic formula to solve this for W:

The discriminant, b^2 - 4ac, is 1^2 - 4(2)(-55), or 441.  The square root of 441 is 21.  Thus, the quadratic formula gives us:

        -1 ± 21

W = ------------- = (1/4)(-1 + 21), or W = 5 and W = -22/4 = -11/2

            2(2)

A measure of length can't be negative, so we reject W = -11/2 in favor of W = 5.

Then, according to the formula for L that we found earlier, L  = 2W + 1, or

L = 2(5) + 1, or L = 11.

Check:  Does L * W result in an area of 55 ft²?  Yes

The length dimension of the rectangle is 11 ft

Juan and Rob are selling cookie dough for a school fundraiser. Juan has t tt cookie dough orders, and Rob has 40 4040 cookie dough orders. They have a total of 75 7575 cookie dough orders all together.

Answers

Answer:

35 cookie dough orders

Step-by-step explanation:

Juan and Rob are selling cookie dough for a school fundraiser. Juan has t cookie dough orders, and Rob has 40 cookie dough orders. They have a total of 75 cookie dough orders all together.

We have to calculate the number of cookie dough that Juan has.

The expression for the above question is given as:

t + 40 = 75

We collect like terms

t = 75 - 40

t = 35

Therefore, Juan has 35 cookie dough orders

Which segment is closest in lenght to √10?

_
AC

_
DE

_
AD

_
AB

Answers

DE is the answer to this problem

Please help me!!!!!

Answers

Step-by-step explanation:

ksjsnndnxjJaknsndjxnnskakxx

ANSWER ASAP
1. Given the solution, determine the missing
term. Explain your steps and show any work
in finding the solution,
25x3 +__x² - x - 4
Solution: (x + 4)(5x + 1)(5x – 1)

Answers

Answer:

100x^2+x-4

Step-by-step explanation:

x +  (4 • (5x + 1) • (5x - 1))x +  4 • (5x + 1) • (5x - 1)Factoring  100x2+x-4 The first term is,  100x2  its coefficient is  100 .The middle term is,  +x  its coefficient is  1 .The last term, "the constant", is  -4 Step-1 : Multiply the coefficient of the first term by the constant   100 • -4 = -400 Step-2 : Find two factors of  -400  whose sum equals the coefficient of the middle term, which is   1 .      -400    +    1    =    -399      -200    +    2    =    -198      -100    +    4    =    -96      -80    +    5    =    -75      -50    +    8    =    -42      -40    +    10    =    -30      -25    +    16    =    -9      -20    +    20    =    0      -16    +    25    =    9      -10    +    40    =    30      -8    +    50    =    42      -5    +    80    =    75      -4    +    100    =    96      -2    +    200    =    198      -1    +    400    =    399

5) A savings account earns 4.5% annual simple interest. The principle is
$1300. What is the balance after 3 years? *

Answers

Answer:

$1483.52

Step-by-step explanation:

P=principle

Fn=total at the end of a given year(=n) (subscript)

I= interest in decimal

F=P(1+I)

at end of first year F1=P(1+I)

at end of second year F=F1(1+I)= P(1+I)(1+I)= P(1+I)^2

or in general Fn=P(1+I)^n

HEEEEEELPPPPPPPPPPPPPPPPPP PLSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

g(n) = 18 - 4n

Step-by-step explanation:

Given the recursive formula

g(n) = g(n - 1) - 4 with common difference d = - 4 and g(1) = 14

The explicit formula for an arithmetic sequence is

g(n) = g(1) + (n - 1)d , then

g(n) = 14 - 4(n - 1)

       = 14 - 4n + 4

       = 18 - 4n

will give brainliest if right​

Answers

SAKHDSKGgsgdyasygudayf

What is the area of the rectangle?
A. 6,000 units2
B. 6,100 units2
C. 6,660 units2
D. 6,666 units2

Answers

The area of the rectangle is A. 6000
A. 6,000 units^2

The area of a rectangle equals its length times its width. 60 • 100 = 6,000

If you roll a 6-sided die 84 times, what is the best prediction possible for the number of times you will roll an odd number?

Answers

Answer:

42

Step-by-step explanation:

Given that:

Sample space = {1, 2, 3, 4, 5,6}

Probability of obtaining an odd number in a single roll :

Probability = required outcome / Total possible outcomes

Required outcome = {1,3,5} = 3

Total possible outcomes = 6

P(odd number) = 3/6 = 1/2

Number of odds on 84 die rolls :

1/2 * 84 = 42 times

explain why 8.0 is greater then 0.8

Answers

Answer:

since the eight in the second number is to the right of the decimal, and there id no other number on the left, the second number isn't even a whole number. It is four fifths of a whole. while the eight in the first number is to the left of the decimal it is a whole number eight times. like, which is more eight cookies or a part of one cookie.

Step-by-step explanation:

M. A rectangular swimming pool is 5.4 m long and
3.5 m wide. It has a
path 0.5 m wide
Path
around it. What is
the area of the path?
Swimming pool



NEED HELPPPPP​

Answers

Answer:

i need help please with my maths

Step-by-step explanation:

Other Questions
SOMEONE PLEASE ME RN I BEG YOU When Reena subtracted 9 from thrice a number, the result was 15. Then the number is-78-3-8 Which of the following approaches measures team performance by the teams ability to meet specific, predefined goals?A. the results approachB. the behaviors/process approachC. the goals approachD. the outcome approach please answer I need the answer. What was one major outcome of the Bush v. Gore Supreme Court ruling? A. George W. Bush became president of the United States. B. Florida was forced to allow third parties on its ballots. c. The voting age was reduced to 18 for presidential elections. D. Closed primaries were ruled unconstitutional and banned, what do the mayor of stockbridge do that influences health somebody please help im giving 20 points and a brainliest ! Read the following excerpt and answer the question that follows.I creep up to a window to have a look outside Only thing I can make out is something buring in the distance, organge flames roiling like a thing alive. Doesnt seem right that a house half-submerged in water can burn, but burn it does, and nobody to stop it.No fire department, Mr. Tru points out. No police.How come? I ask. Where is everybody?He shrugs. They vacuated with the rest, or dont care to enter this particular neighborhood, or aint got here yet, or maybe all three. Whatever the reason, we on our own and thats the troot. Nobody look out for us but us.Describe how this passage might be different if written from the perspective of the police or other rescuers. help me please I will mark brainiest if you are correct 3. Johnny is a good public speaker.verbal ironydramatic ironysituational irony Which amino acid chain will be formed by the codons shown below? GGA AAG UGUA. Gly Lys ValB. Glu Lys ValC. Glu Lys CysD. Gly Lys Cys In which situation do the quantities combine to make 0? A Kurt deposited $50 into his checking account on Friday. The next week, he deposited $50 into his savings account. B A football team gained 4 yards on one play and lost 2 yards on the next play. C The temperature at 10 pm was 6C. Over the next 3 hours, the temperature decreased by 2C each hour. D Marci spends $8 to make a necklace and earns $8 from each bracelet sold. On Saturday, she made 5 necklaces and sold 10 bracelets. A designer decides to create a larger scale model of a smart phone so that his team can work more easily on the design. The length of the screen of his model is 60 centimeters, which is 2.5 times longer than it is wide. The designer asked his team to build the screen of the actual phone with a width of 6 centimeters. What is the scale factor of the model phone to the actual phone? write the name of reproduction process that occurs in tapeworm? How did the taliban initially communicate with the people of the swat valley? Solve by factoring X^2-100=0 If the price of an item decreases, producers will create fewer of the item. This is due to theA.Law of DemandB.Law of SupplyC.Law of PriceD.Consumer Choice What are the advantages and disadvantages of a partnership? What we had just studied are the major intellectual revolutions in the past. at present, what are the widely acceptable theory that could explain?need help for this guys .6. She said to me, "Will you call me!7. Hema said, "I've broken this cup.'8. Anu said to Tina, "Can you do this?9. She said to me, "Why are you laughing?"10. "I'm very tired, she said to her mother.11. He said, "I saw him yesterday with his brother."12. "Where are you going?" she asked me.13. Nina said, I can solve this puzzle."14. "We shall arrange a party," said the boys.15. The teacher said to Sohan, Get out of the class." In pea plants the trait for tall height is dominant over the trait for dwarf height. Which letter should be used to represent the genotype for plant height? D F L T