A multiple choice test contains 25 questions with 5 answer choices. What is the probability of correctly answering 8 questions if you guess randomly on each question?

Answers

Answer 1

Answer: 0.0623

Step-by-step explanation:

A Multiple Choice Test Contains 25 Questions With 5 Answer Choices. What Is The Probability Of Correctly
Answer 2

The probability of correctly answering 8 questions if you guess randomly on each question is 0.062348.

It is given that multiple choice test contains 25 questions with 5 answer choices.

To find probability of correctly answering.

What is probability?

The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

Given that:

The probability of each correct answer is  [tex]p_{s}[/tex][tex]=\frac{1}{5}[/tex]

The probability of 8 successful answers in 25 independent trials for a binomial probability distribution is:

p(k|n)=[tex]\frac{n!}{(n-k)!*n!}[/tex][tex]p_{s}^{k} (1-p_{s})^{n-k} \\[/tex]

p(8|25)=[tex]\frac{25!}{(25-8)!*8!}[/tex][tex]{\frac{1}{5} }^{k} (1-1/5)^{25-8} \\[/tex]

p(8|25)=0.062348

So, the probability of correctly answering 8 questions if you guess randomly on each question is 0.062348.

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Related Questions

Gh bisects cf =2y-2 and cd =3y-11 find cd

Answers

Answer:CD is 4

Step-by-step explanation: ham

The balloon uses 4.5 quarts of gas in 7 minutes. How many gallons will it use per hour?

Answers

Answer:

≈9.64 gallons

Step-by-step explanation:

To solve, we can figure out how many quarts are in a minute and use that to figure out how many quarts are in an hour. Then, we can convert quarts to gallons.

4.5 quarts = 7 minutes

First, we can find how many quarts equal 1 minute. To do this, we can divide both sides by 7 because anything divided by itself equals 1

4.5/7 quarts = 1 minute

Next, we want to figure out how many quarts go into 60 minutes, or 1 hour. To do this, we can multiply both sides by 60 because 1 * 60 = 60

4.5 * 60 / 7 quarts = 60 minutes = 1 hour

We now know how many quarts are in an hour, so we can now convert quarts to gallons

4 quarts = 1 gallon

divide both sides by 4

1 quart = 1/4 gallons

To get from quarts to gallons, we can divide by 4, so we have

(4.5 * 60 / 7)/4 = 4.5 * 60 / 28

≈9.64 gallons

say whether each of these statements about square numbers is always true, sometimes true or never true


a the last digit is 5
b the last digit is 7
c last digit is a square number.
last digit is not 3 or 8​

Answers

Assigning answers to statements about square numbers, whether it is always true, sometimes true or never true:

a the last digit is 5 - sometimes trueb the last digit is 7 - never truec last digit is a square number last digit is not 3 or 8​ - never true

What are square numbers?

The term square numbers refers to numbers which are gotten when an integer multiplies itself. It is also called a perfect square. This number type is important in the field of mathematics and always applied.

Example of perfect squares are 4, 9, 16, 25, 36, 49, 64. 91, 100 and so on.

A perfect square will never have 2, 7, 3, or 8 as the last digit hence we can say that:

a the last digit is 5 - sometimes trueb the last digit is 7 - never truec last digit is a square number last digit is not 3 or 8​ - never true

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43 + (-56) -78=
What is the steps to solve ?

Answers

PEMDAS- Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Answer= -91

Match the terms to their definition.
1. union
2. intersection
3. compound inequality
Hurry plz

Answers

Step-by-step explanation:

compound inequality: a statement formed by two.......

intersection: elements that are in both set A and B

union: elements that are in either set A or B

A typewriter manufacturer offers to its customers three choices of colors, six styles of type, and two sizes. How many typewriters are required for a complete display

Answers

Answer:

36 different combinations

Step-by-step explanation:

3 colors * 6 types * 2 sizes

3*6*2 = 36 different combinations

36 typewriters are required for a complete display

Given :

A typewriter manufacturer offers to its customers three choices of colors, six styles of type, and two sizes

Colors =3

Styles =6

sizes =2

To find number of typewriters required we multiply the colors , styles and sizes available

Number of typewriters required=[tex]3 \cdot 6 \cdot 2= 36[/tex]

36 typewriters are required for a complete display

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( 27 thousands 3 hundreds 5 ones) x 10=

Answers

Answer:

273,050

Step-by-step explanation:

(27000+300+5)×10

=27305×10

=273050

find the derivative of the function y= x^20

Answers

Answer:

Step-by-step explanation:

[tex]\frac{dy}{dx} =20x^{19}[/tex]

x = ??? What is x?? Solve for x

Answers

Answer:

x= 11

Step-by-step explanation:

4x-8 = 3x+3 (those angles are corresponding angles so they are equal to each other)

4x-3x =3+8

x =11

X would equal to 11.
4x - 8 = 3x + 3
We know this since they are corresponding angles.
1X = 8 + 3
8 + 3 = 11 therefore that is the answer.
Hope this helps, please like :)

What is the measure of central angle AOB to the nearest tenth of a degree?

Answers

Answer:

Lob is the answer the the 2

The measure of central angle AOB is 2.

What is measure of central angle?

The measure of the central angle stands twice the measure of the inscribed angle subtended by the identical arc. (An inscribed angle exists an angle whose vertex fibs on the circumference of the circle.) The sum of the measurements of the central angles of a circle with no common points stands 360°.

Central angles exist subtended by an arc between those two points, and the arc length stands the central angle of a circle of radius one.

The measure of central angle AOB is 2.

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Mitchell can grow 2 flowers with every seed packet. How many seed packets does Mitchell need to have a total of 4 flowers in his garden?​

Answers

Answer:

2 seed packets

Step-by-step explanation:

Since Mitchell can grow 2 flowers per seed packet, you can divide the number of flowers he wants with the number of flowers each seed packet can grow. Since he wants 4 flowers, 4 divided by 2 is equal to 2, meaning he needs 2 seed packets to grow 4 flowers.

Follow the instructions to find out what number you end up with.

Answers

Answer:   162.959

=========================================================

Explanation:

"Decrease the number by 4 tenths" means we're subtracting off 0.4"Increase the number by 8 thousandths" means we're adding 0.008"Increase the number by 2 tens" is the same as adding on 2*10 = 20

The changes of this number are

-0.4+0.008+20

The overall net change is -0.4+0.008+20 = 19.608

We'll be adding this net change to the original number

143.351 + 19.608 = 162.959

This value is exact and hasn't been rounded.

Can someone help me with this question? please​

Answers

Answer:

6 cm3

Step-by-step explanation:

3 x 2 x 1 = 6

The unit circle with center at the origin is a relation but not a function Find the two functions which are semicircles of the unit circle and determine their domains and ranges?​

Answers

Answer:

Step-by-step explanation:

The relation is x²+y²=r² with r being the radius

[tex]f(x)=y=\sqrt{r^2-x^2} \\\\domain(f(x))=[-r,r]\ or\ -r\leq x \leq r\\range(f(x))=[0,r]\ or\ 0\leq y \leq r\\\\\\\ g(x)=y=-\sqrt{r^2-x^2} \\domain(g(x))=[-r,r]\ or\ -r\leq x \leq r\\range(g(x))=[-r,0]\ or\ -r\leq y \leq 0\\\\[/tex]

How much of a(n) 80% orange juice drink must be mixed with 12 gallons of a 40% orange juice drink to obtain a mixture that is 50% orange juice?
The amount of 80%orange juice drink is

Answers

Step-by-step explanation:

how much of an 80% orange juice drink must be mized with 20 gallons of a 20% orange juice drink to obtain a mixture that is 50% orange juice

Answer by mananth(16075) (Show Source): You can put this solution on YOUR website!

--------percent ---------------- quantity

Orange juice 20 ---------------- 20 gal

Orange juice 80 ---------------- x gal

Mixture 50 ---------------- 20 + x gal

20 * 20 + 80 x = 50 ( 20 + x )

400 + 80 x = 1000 + 50 x

80 x + -50 x = 1000 - -400

30 x = 600

/ 30

x = 20

20 gal of 80 % Orange juice

help me plz branniest to whoever right

Answers

ST=x+12+8x-2
ST=9x+10

Hope my answer helped u :)

How do they get Question 3

Answers

Answer:

400÷10=40

Step-by-step explanation:

the question asks for you to divide each number in the pattern by 10.

the first number is 400

400÷10=40

then you would do 40÷10=4

then 4÷10=0.4

then 0.4÷10=0.04

so the pattern would be

400 , 40 , 4 , 0.4 , 0.04

hope this helped!

What is the product of. I really need the now

Answers

Answer:

try photo math

Step-by-step explanation:

it may work for this problem

.
Please help
Add or subtract.

Answers

Answer:

Lt is very easy answer u can't

Answer:

[tex]\frac{1}{x-6}[/tex]

Step-by-step explanation:

[tex]\frac{x}{x^2-2x-24}-\frac{-4}{x^2-2x-24}\\\\\frac{x-(-4)}{x^2-2x-24}\\\\\frac{x+4}{(x+4)(x-6)}\\\\\frac{1}{x-6}[/tex]

HELP HELP HELP HELP HELP
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

2/5

Step-by-step explanation:

you multiply the denominators and numerators so

4 * 1 and 5 *2 leaving you with

4/10

since it says simplify you would just divide by 2 leaving

2/5

2/5 over 2/3, I don't understand

Answers

Answer:

it basically means 2/5 divided by 2/3. The answer comes out to approximately 1.067

Step-by-step explanation:

In other words  (2÷5) ÷ (2÷3)

Hope that answers your question!

Find the differential of the function w=xsin(2yz^4).

Answers

The differential of

[tex]w = x \sin(2yz^4)[/tex]

is

[tex]\mathrm dw = \dfrac{\partial w}{\partial x}\,\mathrm dx + \dfrac{\partial w}{\partial y}\,\mathrm dy + \dfrac{\partial w}{\partial z}\,\mathrm dz[/tex]

where the partial derivatives are

[tex]\dfrac{\partial w}{\partial x} = \sin(2yz^4) \\\\ \dfrac{\partial w}{\partial y} = x \cos(2yz^4) \times 2z^4 = 2xz^4 \cos(2yz^4) \\\\ \dfrac{\partial w}{\partial z} = x \cos(2yz^4) \times 8yz^3 = 8xyz^3 \cos(2yz^4)[/tex]

So the differential dw is

[tex]\mathrm dw = \boxed{\sin(2yz^4)}\,\mathrm dx + \boxed{2xz^4 \cos(2yz^4)}\,\mathrm dy + \boxed{8xyz^3 \cos(2yz^4)}\,\mathrm dz[/tex]

Need help!!
What is the equation of the quadratic functions shown in the graph?

Answers

Answer:

F(x)= (x+1)(X-3)

Step-by-step explanation:

Plug in the Zeros of the equation

Need help thanks in advance

Answers

Answer:  

Exact Form: 391 /12

Decimal Form:  32.58 3 (3 is continued)

Mixed Number Form:  32  7/12  

Step-by-step explanation: You evaluate and multiply the equation.

The answer is 782
5 6/8
You multiply 8*5 then add 6 which is 46
3 8/3
You multiply 3*3 which is 9 then add 8 which is 17

Then you multiply 46 and 17 giving you 782

Three million, six hundred twenty nine in numbers

Answers

Answer:

3,000,629

Step-by-step explanation:

Start with three million as shown below.

Three million, six hundred twenty nine in numbers

3,000,000

"six hundred twenty nine" is simply

629

The number you want is 629 more than 3 million.

Now add the 639 to the 3 million.

Three million, six hundred twenty nine

3,000,629

How to Drag and drop 5/8 and m

Answers

Answer:

What do you mean?

Step-by-step explanation:

I don’t understand.

If point (-3,1) is in the function p(x), which of the following points will be in the function p-|(2)?


PLZ HELP I NEED IT

Answers

Answer:

C

Step-by-step explanation:

for p- prime you just swipe your co-ordinates ...n when swiping them don't change your sign

The point that will be in the function p⁻¹(x) is (1,-3), the correct option is C.

What is a Function?

A function is a law that relates a dependent and an independent variable.

The function p(x) has point (-3, 1 )

An inverse of the function is obtained by interchanging the value of y and x, then solving the equation for y in terms of x

The point that will be in the inverse function of (x,y) is (y,x)

(-3,1) -----> ( 1,-3)

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What is the answer to -(2-k)

Answers

Answer:

Step-by-step explanation:

k-2

Answer:

k-2

Step-by-step explanation:

-(2-k) - Expand the brackets

-2+k - Reorder the equation

k-2

A rare disease exists with which only 2 in 1000 isaffected. There is a test for the disease that a correct positive result (patientactually has the disease) occurs95%of the time while a false positive result(patient does not have the disease) occurs1%of the time.a) What is the prior distribution of the disease and the posterior distributionof the disease given the positive result?b) Is the test good? Explain that counter-intuitive result.

Answers

Answer:

the test is good since it is right 98 percent of the time an if the test is wrong you can just take it again

What is the equation of a line perpendicular to y = 6x - 5 that passes through the point (6,-3)?

Answers

Step-by-step explanation:

The product of slope of 2 straight lines perpandicular each other is -1.

Now, The slope of the original equation is 6. We wish to find the slope m of the perpendicular line. So

[tex]6m = - 1[/tex]

[tex]m = - \frac{1}{6} [/tex]

Now substituting the slope m and the point (6, -3) into the perpandicular line to solve for the y intercept.

[tex]y = mx + c[/tex]

[tex] - 3 = 6( - \frac{1}{6} ) + c[/tex]

[tex]c = - 2[/tex]

Therefore, the equation of the perpandicular line is

[tex]y = - \frac{1}{6} x - 2[/tex]

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