Justin now has a final exam today. There are 20 questions with 3 options. Each
question only has one correct answer. He just needs to make a 75 to pass the class
(meaning he needs to get 15 right). What is the probability of him doing so?

Answers

Answer 1

Answer: .0142%

Step-by-step explanation:

Answer 2

The probability that Justin passes his final exam is 0.0147%

How to determine the probability?

The given parameters are:

Questions, n = 20Pass mark, x = 25Number of options = 3

Only one of the options can be correct.

So, the probability that he answers a question correctly is:

p = 1/3

To get a pass mark of 75, he must score at least 15.

So, the probability is represented using:

P(x >= 15) = P(15) + P(16) + ..... + P(20)

Each probability is calculated using:

[tex]P(x) = ^nC_r * p^x *(1 -p)^{n - x}[/tex]

Using the above formula, we have:

P(15) = 0.00012546624

P(16) = 0.0000193115

P(17) = 0.00000223803

P(18) < 0.000001

P(19) < 0.000001

P(20) < 0.000001

When the above probabilities are added, we have:

P(x >= 15) = 0.00014720925

Express as percentage

P(x >= 15) = 0.014720925%

Approximate

P(x >= 15) = 0.0147%

Hence, the probability that Justin passes is 0.0147%

Read more about probability at:

https://brainly.com/question/251701


Related Questions

How to find Surface Area & Volume of Cylinder???
please help......

Answers

Answer:

A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².

Which of the following values are solutions to the inequality -8+2x> 5?−8+2x>5?

Answers

Answer:

-8+2x is less than 5 and - 8+2x is less than 5

can you please answer this?

Answers

Answer:

all real numbers i think

Step-by-step explanation:

help please and thanks

Answers

Answer:

Sige los puntos hi llegarás al final

Step-by-step explanation:

Sólo sige

In ΔQRS, q = 6.8 inches, r = 1.9 inches and ∠S = 141° . Find the length of s, to the nearest 10th of an inch

Answers

c = 141   s =

150 inch

What is the measure of arc AB

Answers

Answer:

AB should be 142

Step-by-step explanation:

the circle whole is 360 half is 180. Line segment BD is half so you need to subtract the 38 from 180 to get your answer of 142

Hey May I Ask Whats The Rule Of This Number​

Answers

Answer:

add 4x1, then 4x2, then 4x4, then 4x8, etc

Step-by-step explanation:

Find the measure of angle A

Pls help

Answers

Step-by-step explanation:

x+85+x+44+63=180(sum of angles of a triangle)

or,2x+192=180

or,2x=180-192

or,x=-12

Angle A=x+44

=-12+44

=32°

Give brainliest plse .

-1
W
Which is the correct graph of y = x2?
a.
c.
5
4.
2
3
1-
2
+
1
-S
4
-2
1
--
2
3
4
S
1
3
X
-3
tor
-S
b.
5
d.
Ty
4
3

Answers

Answer:

Step-by-step explanation:

In the graph of y = x2, the point (0, 0) is called the vertex. The vertex is the minimum point in a parabola that opens upward. In a parabola that opens downward, the vertex is the maximum point. We can graph a parabola with a different vertex.

The Answer is A because arcording to my calculations and the Internet it shows me that it is A

Maths ACSF
1.5 m
2500 mm
850
4.8m
whats the total length

Answers

Answer:

Step-by-step explanation:

1.5m

(2500mm)/(1000 mm/m) = 2.5m

(850mm)/(1000 mm/m) = 0.85m

4.8m

Add the number of meters:

1.5 + 2.5 + 0.85 + 4.8 = 9.65m

We have the given measurements 1.5 m, 2500 mm, 850, 4.8m. Therefore, the total length would be 9.65m.

How to convert a millimeter into a meter?

One meter is equal to 1000 millimeters. So, to convert one millimeter into a meter we have to divide by 1000.

We have the given measurements 1.5 m, 2500 mm, 850, 4.8m

To convert a millimeter into a meter

2500 mm

= (2500mm)/(1000 mm/m)

= 2.5m

850mm

(850mm)/(1000 mm/m)

= 0.85m

Add the number of meters:

= 1.5 + 2.5 + 0.85 + 4.8

= 9.65m

Therefore, the total length would be 9.65m.

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

This is an isosceles trapezoid.
R.
s
75
X
Y У
T
U

Answers

Answer:

S=R

75+75=150

360-150=210

210/2=105

y=105

Answer:

y = 105°

Step-by-step explanation:

In an isosceles trapezoid.

Any lower base angle is supplementary to any upper base angle, that is

y = 180° - 75° = 105°

Adriyana wants to determine the difference quotient
of p(x) = x3 + x.

She writes the following first few steps.

p(x + h)

= (x + h)3 + (x + h)

= x3 + 3x2h + 3xh2 + h3 + x + h

StartFraction p (x + h) minus p (x) Over h EndFraction = StartFraction (x cubed + 3 x squared h + 3 x h squared + h cubed + x + h) minus (x cubed + x) Over h EndFraction

What is the simplified expression for the difference quotient for all nonzero values of h?

3x2 + 3xh + h2
3x2 + 3xh + h2 + 1
3x2 + 3xh + h2 + h
3x2 + 3xh + h2 + 2x + 1

Answers

Answer:

The answer is B

Step-by-step explanation:

The simplified expression for the difference quotient for all nonzero values of h is 3x² + 3xh + h² + 1 option (B) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The function is:

p(x) = x³ + x

The difference quotient of the function:

p(x + h) =  (x + h)³ + (x + h)

The difference quotient of the function:

= [((x + h)³ + (x + h)) - (x³ + x)]/h

= [x³ + 3x²h + 3xh² + h³ + x + h - x³ - x]/h

= [3x²h + 2xh² + h³ + h]/h

= 3x² + 3xh + h² + 1

Thus, the simplified expression for the difference quotient for all nonzero values of h is 3x² + 3xh + h² + 1 option (B) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

you're having a bbq this weekend, and you're in charge of hamburger meat. right now there is a sale where you can buy 5 pounds of meat for $10. At this rate how much meat could you buy for $30

Answers

Answer:

15 pounds

Step-by-step explanation:

we can set up a proportion:

5/10=x/30

solve for x:

5/10=x/30

10x=150

x=15

(or you could've done 5*3=15 since $30/$10=3)

Dr. Gavin is conducting a 2 x 4 independent-groups factorial design. Assuming he wants 25 people in each cell, how many participants does Dr. Gavin need to recruit

Answers

Answer:

Dr. Gavin needs to recruit 200 participants.

Step-by-step explanation:

Dr. Gavin is conducting a 2 x 4 independent-groups factorial design.

This means that there will be 2*4 = 8 cells.

Assuming he wants 25 people in each cell, how many participants does Dr. Gavin need to recruit?

25 people in each cell, 8 cells. So

25*8 = 200

Dr. Gavin needs to recruit 200 participants.

CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEMS I would really appreciate it

Answers

Answer:

I would love to help but can you zoom in on the question I can't really read it

Step-by-step explanation:

Select the graph of y= sin x.

Answers

Because it contains the points (0, 0) and (pi/2, 1), the first graph is the graph of sin(x).

Which graph is the graph of sin(x)?

To identify the graph of sin(x), we need to remember some points of the sine function.

We know that sin(0) = 0, this means that this passes through the point (0, 0).

And we also know that sin(pi/2) = 1, then it also passes through the point (pi/2, 1).

With that in mind, the graph that passes through those two points is the first one, so that is the correct option.

If you want to learn more about the sine function:

https://brainly.com/question/9565966

#SPJ2

Answer:

A.

Step-by-step explanation:
Believe me! I got it right on the program!

What is the area of the polygon

Answers

1,159cm^2 that is the answer

the height of a house having three rooms of the dimensional 9 feet into 12 feet 14 feet into 16 feet and 12 feet into 14 feet respectively is 90 Feet what will be the amount required to paint on all was from inside at the rate of 160 per square feet​

Answers

Answer:

Amount required = 2,217,600

Step-by-step explanation:

Dimensions of the rooms are as follows;

Room 1; 9 feet × 12 feet

Room 2; 14 ft × 16 ft

Room 3; 12 ft × 14 ft

Perimeter of rooms;

P1 = 2(9 + 12) = 42 ft

P2 = 2(14 + 16) = 60 ft

P3 = 2(12 + 14) = 52 ft

Total perimeter; P = 42 + 60 + 52 = 154 ft

Height is 90 ft.

Thus, total area is;

A = 154 × 90

A = 13860 ft²

Rate of painting is 160 per Sq.ft.

Thus amount to paint entire area = 160 × 13860 = 2217600

PSYCHOLOGY/SOCIOLOGY
Does anybody know the answer to any of these? Will mark BRAINIEST

Answers

Answer:

1. A

2. B

3. C

Step-by-step explanation:

......................

Find the volume of the composite figure.
3 ft
2 ft
2 ft
6 ft
5 ft
The volume of the composite figure is
cubic feet.

Answers

Answer:

360

Step-by-step explanation:

Find the value of x. Then tell whether the side lengths form a Pythagorean triple.
10, 6​

Answers

To Find :

The value of x.

Solution :

Applying Pythagoras's theorem by assuming 10 is the biggest side, we get :

[tex]6^2 + x^2 = 10^2\\\\x = \sqrt{100 - 36}\\\\x = \sqrt{64}\\\\x = 8[/tex]

Therefore, the value of x is 8 .

how many zeros does the polynomial function y=(x+4)(x-2)^2(x+7)

Answers

3 is the correct answer

Which of the following shows the inverse of {(0, 4), (5, -2), (-1, 8), (2, 5)}?
A:{(0, -4), (5, 2), (-1, -8), (2, -5)}
B:{(4, 0), (-2, 5), (8, -1), (5, 2)}
C:{(0, -4), (-5, 2), (1, -8), (-2, -5)}
D:{(0, 4), (-5, -2), (1, 8), (-2, 5)}

Answers

9514 1404 393

Answer:

  B:  {(4, 0), (-2, 5), (8, -1), (5, 2)}

Step-by-step explanation:

The inverse relation has the input and output swapped:

  relation: (0, 4)

  inverse relation: (4, 0)

You can identify the correct answer choice using just the first ordered pair. The inverse relation is ...

  {(4, 0), (-2, 5), (8, -1), (5, 2)}

PLEASEE GIVE AN EXPLANATION TO THIS

Answers

Answer:

C.

Step-by-step explanation:

The numbers in the front will be the first number and the ones behind it will be the second number.

So the numbers are 79,82,82,83,86,90,91,93,94 and 97

Then you want to add the lowest number and the greatest number which is 79 and 97

equals to 176

Does anyone know this

Answers

Answer:

The scale factor is greater than 1

Step-by-step explanation:

HELP SOON PLSSSSS FOR BOTH QUESTIONS

Answers

9514 1404 393

Answer:

  2)  54 units

  3)  2770 square units

Step-by-step explanation:

2) The perimeter is the sum of the lengths of the sides of the figure. The sum of the lengths of the horizontal segments is 2×16 = 32 units. All but one of the lengths of the vertical segments are given. The missing one is the inside segment on the left side, which is 9 - (6 -2) = 5 units. Then the sum of vertical segment lengths is 9 +5 +2 +6 = 22 units. The total perimeter is ...

  P = 32 units + 22 units = 54 units

__

3) The centerline of the green region is 60×2 units plus the circumference of a circle 50 units in diameter. That centerline length is ...

  60×2 +50×3.14 = 120 +157 = 277 . . . units

The width of the region is 10 units, so the total area of the green region is ...

  A = LW = (277 units)(10 units) = 2770 square units

If somebody keeps on trying to take something from you and u tell them to quit or youll punch them should u actually do it? first gets brainliest

Answers

Answer:

yes

Step-by-step explanation:

List the temperatures in order from hottest to
coldest. (6.2D)
( 6°F , 8°F, -10°F, 30F, 0°F, -13°F)

Answers

-13F, -10F, 0F, 6F, 8F, 30F

Fahrenheit increases from negative to 0, then to positive.

A. B,D,A,E,C
B. B,C,D,A,E
C. C,D,A,B,E
D. C,A,D,B,E​

Answers

9514 1404 393

Answer:

   C. C,D,A,B,E

Step-by-step explanation:

The first set of coordinates, (-3, 4) and (3, 4) are on the horizontal line y=4. The distance between them is the difference of their x-values: 3 -(-3) = 6. This is the third distance on the list, so 'A' will be 3rd in the sequence of matching.

Choices A and C have 'A' listed 3rd.

__

The second set of coordinates (-5, 3) and (-5, 11) are on the vertical line x=-5. The distance between them is the difference of their y-values: 11 -3 = 8. This is the 4th distance on the list, so 'B' will be 4th in the sequence of matching.

Choice C has 'B' listed 4th.

The appropriate sequence of matching is ...

  C, D, A, B, E

_____

Additional comment

In this problem, as in most multiple-choice problems, it isn't necessary to find the complete answer. It is only necessary to find enough of the answer to determine the correct choice among those offered. You do need to know enough about how to work the problem to be able to tell a correct choice from an incorrect one. Knowing the required relationships is useful; slogging through the arithmetic is often not necessary.

Answer:

C. C,D,A,B,E

Step-by-step explanation:

What is (+8) – (-3)?

Answers

the answer to the question is 11
Other Questions
why are cells called the smallest functional unit of a living organism? A student experimentally determines the density of a plastic cube using the caliper method, liquid displacement method, and suspension method. The cube's true density is 0.9822 g/cm3. Use the student's collected data below to answer the following questions. Student's Collected Data Cube's Mass 0.66g Caliper Method Edge Length 0.85 cm Liquid Displacement Method Volume of Liquid 5.5 mL Volume of Liquid + Object 6.2 mLRequired:Determine the density of the cube for each method. how do you find mean... El metal Mg reacciona con el Hcl para producir gas Hidrgeno Mg +2HCl---MgCl2 + H2. Qu volumen en Litros de H2 en condiciones STP se liberan cuando reaccionan 8.25g de Mg? * 8.60L 6.60L 7.60L 16.60L Cave paintings are also known as ...............silk paintingparietal artmural artChinese art Jack earn money walking dogs he charges $8 per day plus $6 per walk (w) a car travels a distance of 1600km in 24hr .what was it's speed You want to rent a television. Company A charges $25 per week plus a one-time fee of $52. Company B charges $37 per week plus a one-time fee of $16. After how many weeks are the total costs the same at both companies? To provide for unobtrusive validation, you can install the ____________________ package for unobtrusive validation. How big of an electric field exists when an electric force of 2 Newtons is exerted on a charge of 1.602 x 10^-19 Coulombs? * In 1973, biologist Theodosius Dobzhansky wrote an essay titled "Nothing in Biology Makes Sense Except in the Light ofEvolution." Why is evolution so important for understanding biology? Explain your answer in 1-2 sentences. (2 points) Question 5 (Mandatory) (3 poins) In "Homer: The Poet for All Ages," how did Homer's stories affect the people of his time? The people preferred Homer's stories to the way he played the tyre, They were captivated and inspired by Homer's characters and exploits. 2 They listened to Homer's stories only because he was the king's guest. The people found Homer's stories grim and depressing, 22. The net income reported on the income statement for the current year was $212000. Depreciation recorded on plant assets was $35500. Accounts receivable and inventories increased by $2100 and $7900, respectively. Prepaid expenses and accounts payable decreased by $1900 and $12500 respectively. How much cash was provided by operating activities? - 13+(-4)=2-3[ - {(-3)*(-7)-(3+5)}] Refer to exhibit 24-7. the maximum profits earned by a single-price monopolist producing good x are Conjugate the verb in parenthesis according to the subject.ellas ____________ (bailar) Sofia bought 3 items that cost a total of $21.99. What is the price of one item? Leia, Chewy, Han Solo, and Luke have to cross a bridge. They only have one flashlight, and the bridge can only hold two people at a time. They each take a different length of time to get across the bridge. At any time, a group of two can only move as fast as the group's slowest person. The times that it takes each person to cross the bridge are:Chewy -- ten minutes Han Solo -- five minutes Leia -- two minutes Luke -- two minutes How can the four get across the bridge the fastest? One of the three equal faftors (multiplication) of a number There are 24 girls in a class. The ratio of girls to boys is 3:8.How many boys are in the class?