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:

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

In a group 40% like football ,70% like cricket and 30% like both games

Answers

Answer:

40%

Step-by-step explanation:

40+30+70=140

180-140= 40

Find NL. Not sure to to solve this.

Answers

Answer:

NL= 2 × HI

x+24 =2 × (X+16)

x+24=2x + 32

2x-x= 24-32

x= – 8

NL=x+24 = –8 +24= 16

So ; NL= 16

I hope I helped you^_^

X+24 =2(x+16)
X +24 = 2x +32
24-32= 2x-x
X = -8
NL = x+24
NL = -8+24
NL = 16

What is the value of X minus Y if x equals 9 and Y equals -20

Answers

x-y = (9)-(-20) =29

doneeee

Use a number line or place value to round each number to the place of the underlined digit

Answers

you didn't put a picture in,

HELP PLEASE
Find the length of AB

Answers

Step-by-step explanation:

hopefully it makes sense and is visible

:)

brainiest to whoever rightt.

Answers

Answer:

Perimeter of a square

Step-by-step explanation:

The formula for finding out the perimeter of a square is P = 4s

Lines m and n are parallel lines. If line m has a slope of -1, find the slope of linen. Type a numerical answer in the space
provided. If necessary, use the key as a fraction bar. Do not type spaces in your answer.

Answers

line n has a slope of -1

parallel lines have equal slopes

Whatis (-5 + 3i) -(4+7i)?

Answers

Answer:

-5-4i is your answer.

I hope it will help you

Simplify. √ −18

A -3i√2
B 3i√2
C 9i√2
D -3√2

Answers

C -3?2 22 fjfngne xmamaqw

Is 0.6 a rational number​

Answers

Answer:

The decimal 0.6 is a rational number. It is the decimal form of the fraction 6/10.

Answer:

Yes. 0.6 is a rational number.

Calculate the area of the triangle.
Note: Think about which side to use as the base.

Answers

9514 1404 393

Answer:

  27 square units

Step-by-step explanation:

The height is measured perpendicular to the base, so it is convenient to use a base such that the height is easily found. Here, the vertical line is a suitable base, as the height is the horizontal distance from that to the opposite vertex.

  A = 1/2bh = 1/2(9)(6) = 27 . . . . square units = triangle area

Simplify an expression for the perimeter of the rectangle.
W = 24.6x - 10.4
L = 7x + 3.1

Answers

The expression for the perimeter of the rectangle is 63.2x - 14.6.

Given that,

Width = W = 24.6x - 10.4Length = L = 7x + 3.1

We Know that

Perimeter of the rectangle is

[tex]= 2(l+w)\\\\= 2 (7x + 3.1 + 24.6x - 10.4)\\\\= 2(31.6x - 7.3)[/tex]

= 63.2x - 14.6

Here the above formula should be applied for measuring the perimeter of the rectangle.

Therefore we can conclude that The expression for the perimeter of the rectangle is 63.2x - 14.6.

Learn more about the rectangle here: brainly.com/question/16167300

Answer:

24.3

Step-by-step explanation:

First you solve the sides:

24.6-10.4 =14.2

7+3.1=10.1

After that ,you will add because perimeter is adding up the side lengths of various shapes.

14.2+10.1=24.3

lim x ->0 ln(1+5x)/2x

Answers

answer

−>0(1+5)/2

hope it helps

If angle DEG is 8x + 14 and angle GEF is 8x - 7, the measure of angle DEG is ___ degrees.

Answers

Answer:

100.5

Step-by-step explanation:

As it's a straight line, the angles should add up to 180. So 8x+14+8x-7=180, 16x+7=180, x=10.8125, DEG will be 8x+14=100.5

The ratio of red beads to blue beads on a necklace is 4:7. What fraction of the beads are blue?

Answers

Answer:

fraction of blue beads = 7/(4+7)

= 7/11

Answer:

3:5

Step-by-step explanation:

find a common numeral

Combine Like Terms
4. Which expression is equivalent to -9 + 8y + 12 - (-2y) + 1 ?
14y
10y
4+6y
10y+4

Answers

Answer:

10y + 4

Step-by-step explanation:

-9 + 8y + 12 - (-2y) + 1

-9 + 8y + 12 + 2y + 1

8y + 2y - 9 + 12 + 1

10y + 4

Use the number to add the fraction: -5/8 + 3/4: *
Use the number ine to add the fraction
2
1
1
1
5
-
-
-
O
2
-9/10
-4/5
-1/8
1/8
2/5
1/2
7/10

Answers

Answer:

c

Step-by-step explanation:

thats the anser

if 5-3(2a+1)=-4+10, what is the value of a+2​

Answers

[tex]\\ \rm\Rrightarrow 5-3(2a+1)=-4+10[/tex]

[tex]\\ \rm\Rrightarrow 5-6a-3=6[/tex]

[tex]\\ \rm\Rrightarrow -6a+2=6[/tex]

[tex]\\ \rm\Rrightarrow -6a=6-2[/tex]

[tex]\\ \rm\Rrightarrow -6a=4[/tex]

[tex]\\ \rm\Rrightarrow a=\dfrac{4}{-6}[/tex]

[tex]\\ \rm\Rrightarrow a=\dfrac{2}{-3}[/tex]

Now

[tex]\\ \rm\Rrightarrow a+2[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2}{-3}+2[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2-6}{-3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-4}{-3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{4}{3}[/tex]

Answer:

7/3

Step-by-step explanation:

5 - 3(2a+1) = -4 + 10

=> 5 - 6a + 3 = 6

=> 5 - 6 + 3 = 6a

=> 2 = 6a

=> 6a = 2

=> a = 2/6

=> a = 1/3

a + 2

1/3 + 2

=> 1/3 + 6/3

=> 7/3

union and intersection of sets

Answers

Answer:

The union of two sets contains all the elements contained in either set (or both sets). The union is notated A ⋃ B. The intersection of two sets contains only the elements that are in both sets. The intersection is notated A ⋂ B.

Answer:

Union

The union of a set A with a B is the set of elements that are in either set A or B. The union is denoted as A∪B. For example, if A is the set {♢,♡,♣,♠} and B is the set {△,♡,♠}, then A∪B={♢,♡,♣,♠,△}.

Intersection

Intersection of two given sets is the largest set which contains all the elements that are common to both the sets. To find the intersection of two given sets A and B is a set which consists of all the elements which are common to both A and B. The symbol for denoting intersection of sets is '∩'.

find the y-intercept and x-intercept of the line. 2x+3y= -14

Answers

Answer:

X-intercept: (-7, 0)

Y-intercept: (0, -14/4)

Step-by-step explanation:

To find the intercepts plugin 0 for one variable and solve

2x+3(0)=-14

x=-7

2(0)+3y=-14

y=-14/3

what is the length of an arc subtended by an angle of 1.25 radians in a circle with a diameter of 24 cm?​

Answers

Answer:

15 cm.

Step-by-step explanation:

Recall that the arc-length of a circle is given by the formula:

[tex]\displaystyle s = r\theta[/tex]

Where r is the radius and θ is the measure of the central angle in radians.

The circle has a diameter of 24 cm, so its radius is 12 cm.

And its central angle is 1.25 radians. Hence, the arc-length will be:

[tex]\displaystyle s = \left(12\right)\left(1.25\right) = 15\text{ cm}[/tex]

In conclusion, the arc-length for a circle with a diameter of 24 cm subtended by a central angle of 1.25 radians is 15 cm.

A new car has a list price of ​$28,500 . Suppose that the dealer markup on this car is 10%. What is the​ dealer's cost?

Answers

Answer: 25650

Step-by-step explanation: 10% of 28500 is well 2850

28500-2850=25650

(if only i could get good rates on my car)

What is the best measurement to eastimate the volume of a juice box

Answers

1 : you would use a graduated cylinder . 2 : , you would use a yard stick or maybe a ruler if you are not able to find one. You can also use a meter stick.

divide write your answer in simplest form 2/3 divided by 1/4

Answers

Answer:

8/3 or 2.6667

Step-by-step explanation:

when you divide fractions you use a technique called KCF

K = keep

C = change

F = flip

You write the equation [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{4}[/tex]

you keep [tex]\frac{2}{3}[/tex]

you change the symbol, so from ÷ you change it to x

and flip the last fraction, so you would have  [tex]\frac{4}{1}[/tex]

then you solve it

[tex]\frac{2}{3}[/tex] x  [tex]\frac{4}{1}[/tex] = [tex]\frac{8}{3}[/tex]

The result of 2/3 divided by 1/4 in simplest form is 8/3 .

Division: It is one of the four basic mathematical operation, the other three being addition, subtraction, multiplication.

Given, division of [tex]\frac{2}{3}[/tex] by [tex]\frac{1}{4}[/tex].

Division of fractional terms:

[tex]=\dfrac{\frac{a}{b}}{\frac{c}{d}}\\= (a)\times(d)/(b)\times(c)[/tex]

Apply, division process of fractional terms.

[tex]=\dfrac{\frac{2}{4}}{\frac{1}{3}}\\ = (2)\times(4)/(1)\times(3)[/tex]

[tex]= \frac{8}{3}[/tex]

Know more about division,

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(12m^7-36m) ÷6m
Please answer. Really need help

Answers

[tex]2 {m}^{8} - 6 {m}^{2} [/tex]

Step-by-step explanation:

[tex](12 {m}^{7} - 36m) \div 6m[/tex]

➡️ [tex] \frac{1 {2m}^{7} - 36m }{6} \times m[/tex]

➡️ [tex] \frac{6(2 {m}^{7} - 6m)}{6} \times m[/tex]

➡️ [tex](2 {m}^{7} - 6m)m[/tex]

➡️ [tex]2 {m}^{8} - 6 {m}^{2} [/tex]

Evaluate the expression for the given values of the variables. x2 + 4(x − y) ÷ z2, for x = 8, y = 5, and z = 2

Answers

(8)(2)+4(8)(-5)(2)(2)

The answer is -624

Help me pleaseeee help help

Answers

Answer:

Step-by-step explanation:

in a certain country, 40% of registered voters are reublicans, 45% are democrats, and 15% are indepdents. what is the probability that a randomly selected voter opposes the bill

Answers

15 percent is correct

1.2 hours in hours and minutes​

Answers

Answer:

1 hour 12 minutes

Step-by-step explanation:

1.2 × 60 = 72 minutes

72-60 = 12 minutes

what??? I need help urgent :( i didn’t focus in math

Answers

Answer: g(x) = (x+1)-3

Step-by-step explanation: Assuming you are moving from expression f to expression g, the plus one in the equation moves the vertex to the right one. subtracting three outside of the parenthesis moves the vertex down three, giving you a vertex of (1,-3). hope this helps!

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