Alex takes a multiple-choice quiz in his Anthropology 100 class. The quiz has 10 questions, each has 4 possible answers, only one of which is correct. Alex did not study for the quiz, so he guesses independently on every question. What is the probability that Alex answers exactly 2 questions correctly

Answers

Answer 1

Answer:

The probability is 0.28157

Step-by-step explanation:

The number of answers are 40 answers ( 10 questions and 4 answer each)

The number of correct answers is only 10

So the probability that he answers 2 exactly out of 10 means he correctly selected 2 answers

The probability will be;

10 C 2/ 40 C 10

This mean out of the total 10 correct, he selects 2 and out of the total 40 , he selects 10

The probability of selecting a correct answer is;

1/4 while the probability of selecting a wrong one is 3/4

So probability of selecting 2 correct out of a total 10 will be

10 C 2 (1/4)^2 (3/4)^8

= 0.28157


Related Questions

1. Here is a number line. Write the two missing numbers in the boxes.
0
2

Answers

Answer:

The box on the left is 0.4 and the box on the right is 1.8

A light bulb consumes 2700 watts an hour in 4 days and 12 hours. How many watts does it consume in a day

Answers

Answer:

The light bulb will consume 600 watts in one day.

Step-by-step explanation:

Let us suppose the light bulb is continuously ON.

As a light bulb consumes 2700 watts an hour in 4 days and 12 hours.

4 days and 12 hours = 96 hours + 12 hours = 108 hours

So, a light bulb consumes 2700 watts in 108 hours.

Hence,

A light bulb consuming the watts per hour will be: 2700/108 = 25 watts

As a light bulb consumes 25 watts in one hour, there are 24 hours in a day.

Light bulb consuming total no of watts in a day = 25 × 24 = 600 watts

Therefore, the light bulb will consume 600 watts in one day.

2ND METHOD

4 days and 12 hours = 4.5 days

Total no of watts cosumed by a light bulb in 4.5 days = 2700 watts

so

Total number watts consumed in a day = 2700 / 4.5 = 600 watts.

Therefore, the light bulb will consume 600 watts in one day

the equation a=640 s gives the relationship between s square miles and a acres. Pam owns 4.5 square miles of farmland. how many acres does she own​

Answers

Answer:

23

Step-by-step explanation:

im sorry i just  want some points but look it up im sure youll figure it out !

Marilyn managed to sell 3/5 of her cakes.
a. What percentage of cakes was sold?
b. What percentage of cakes was left?

Answers

Answer:

Step-by-step explanation:

A: She sold 60% of her cakes

B: 40% was left

I’m pretty sure these are the answers

Hello I hope you have a wonderful day can you pls help me out it I will fail

Answers

A. Independent goes on the x axis and dependent goes on the y axis
B. It shows his or hers miles per hour or mph or distance they run in a hour

Hope this helps have a great Monday ❤️

Could anybody help me please?
Without solving, identify if the equation will have a solution that is positive, negative, or zero.
A. Zero
B. Positive
C. Negative
Identify if the equation has
*one solution only
*infinite number of solutions
*one solution only
7(x-5)=x+13
A. Infinite number of solutions
B. No solutions
C. One solution only

Answers

Answer:

it is positive and it has 1 solution

Step-by-step explanation:

Find the quotient of 1 1/4and 3 1/2 . Express your answer in simplest form.

Answers

Answer:

5/14

Step-by-step explanation:

convert mixed number to improper fraction:

1 1/4 = 5/4

3 1/2 = 7/2

5/4÷7/2

multiply first number by reciprocal of second number. To get the reciprocal, switch the numerator and denominator.

5/4*2/7

=10/28

simplify

= 5/14

Answer:

5/14

Step-by-step explanation:

Remember: Keep, change, flip

Keep: 1 1/4 = 5/4

Change: ÷ -> ×

Flip: 3 1/2 = 7/2 = 2/7 flipped

Original: 5/4 ÷ 7/2 = x

Keep change flip method: 5/4 × 2/7 = x

x = 10/28 which simplifies to 5/14

x = 5/14

What is x and y, and how do you do this problem

Answers

Answer:

you got it correct no needed corrections

Step-by-step explanation:

A. Last night, 8.2 x 105 fans
attended a concert, and each
fan recorded an average of
600 seconds of the concert on
their phones. What is the total
number of seconds recorded
from all of the fans at the
concert?

Answers

Step-by-step explanation:

8.2 x 105 = 861

861 x 600 = 516,600

Answer: 516,600

This isyes is the algebra one or two please mark me brainlist

PLSSS ANSWER I DONT HAVE LOTS OF TIMEEE!!?!?!?!?!?!??!??!??! Three families took a vacation to Phoenix. The Abbott Family spent $840 on four nights at their hotel and three airline tickets. The Baker Family spent $1,130 on nine nights at their hotel and two airline tickets. The Carson Family spent $2,080 on six nights at their hotel and five airline tickets. Two of the families paid the same price per night at their hotel and per airline ticket.

Which two families would have had to pay the same price per night at their hotel and per airline ticket to have the largest possible nightly hotel cost?
A.
the Abbott and Baker Families

B.
the Abbott and Carson Families

C.
the Carson and Baker Families

D.
all three families would have to pay the same price

Answers

Answer:

c

Step-by-step explanation:

both of the familys have higher cost and have to stay longer

Pls help it’s algebra 1

Answers

Answer:

Y+1=-1/2(x-4) the very bottom choice trust me its in point slope form and since the 1 is negative it turns into a positive for the equation and adds to the Y

Step-by-step explanation:

Gavyn & Raj share a lottery win of £950 in the ratio 1 : 4.
Gavyn then shares his part between himself, his wife & their son in the ratio 5 : 3 : 2.
How much more does his wife get over their son?

Answers

Answer:

£19

Step-by-step explanation:

Gavyn:Raj=1:4£950 to be split in 1:4, so Gavyn=£190 and Raj=£760Gavyn:Wife:Son=5:3:2£190 to be split in 5:3:2, so Gavyn=£95, Wife=£57, and Son=£38Wife gets £57-£38=£19 more than her son

Should be easy points!
The sum of 2 times a number and twice its reciprocal is 20/3. Find the numbers.


Please show work because I am so lost.

Answers

Answer:

Let x represent the number from the sentence.

Step-by-step explanation:

2(x) + 2(1/x) = 20/3

2x + 2/x = 20/3

multiply both sides of the equation by 3x

6x + 6 = 20x

6x - 20x + 6 = 0

6x - 18x - 2x + 6 = 0

6x(x-3 -2(x-3) = 0

(6x-2 = 0 or x-3 = 0

6x = 2 or x = 3

x = 2/6

x = 1/3

Since x represented the number

Therefore x = 1/3 or 3

8th GRADE MATH #7 On its first visit to the vet, Emma’s Kitten weighed 30 ounces. On its second visit, the kitten had gained 8 ounces. On its third visit, the kitten had gained another 6 ounces. What is the percent increase, rounded to the nearest percent, of the kitten’s weight since its first visit? *

Answers

Answer:

32%

Step-by-step explanation:

Want to help me thanks if not ok to
will give brainliest

Answers

Answer:

The answer is 18.2

Step-by-step explanation:

17+24+19+17+14=91

91/5=18.2

y = 4x + 7 at x = -2 ?

Answers

Answer:

-1=y

Step-by-step explanation:

Four times a number added to six equal 26

Answers

Answer:

x=5

Explanation:

4x + 6 =26

4x = 20

x = 5

Answer:

x = 5

Step-by-step explanation:

Equation: 4x + 6 = 26

Subtract 6 from both sides: 4x = 20

Divide each side by 4: x = 5

I hope this helped, please mark Brainliest, thank you !!

Bill drove 406 miles in 7 hours. What was the average speed per hour? WILL GET BRAINLIEST!!!!!

Answers

Answer:

58 miles per hour

Step-by-step explanation:

Divide 406 by 7

2+24/654-7986x76483=

Answers

Answer:

-610793236

Step-by-step explanation:

2+24/654-7986x76483 (punch it in the calculator)

= -610793236

or if you need to "show your answer"

2+24/654-7986x76483

= 2+24/654-610793238

= 2+ 0.36- 610793238

= 2+ (-610793238)

= - 610793236

2x +8= 3x-4 what is x equal two

Answers

Answer:

x= 12

Step-by-step explanation:

An athlete in training rides his bike 50 mi and then immediately follows with a 2.5 mi run. The total workout takes him 2.5 hr. He also knows that he bikes about twice as fast as he runs. Determine his bike speed and his running speed.
Part 1
His running spend is ___mph
Part 2
His biking speed is ___mph

Answers

Answer:

12345

Step-by-step explanation:

so you add and then you got it

Which type of cell is most responsible for relaying information to the brain about external stimuli such as heat?
A.
nerve cells
B.
red blood cells
C.
muscle cells
D.
white blood cells

Answers

Answer:

A. Nerve cells

Step-by-step explanation:

Answer:

nerve cells

Step-by-step explanation:

I need help, the options are: Corresponding Angles, Vertical Angles, Alternate interior angles, linear pair, alternate exterior angles, and consecutive interior angles.

Answers

Answer:

✔️ <1 and <3 => Vertical angles

✔️<2 and <6 => alternate exterior angles

✔️<2 and <4 => corresponding angles

✔️<3 and <7 => alternate interior angles.

✔️<4 and <3 => consecutive interior angles.

✔️<7 and <6 => linear pair angles.

Step-by-step explanation:

✔️ <1 and <3 are opposite angles formed when two straight lines intersect. They both share the same vertex. Thus, they are vertical angles, which are congruent to each other.

<1 and <3 are vertical angles.

✔️<2 and <6 are alternate exterior angles.

<2 and <6 both lie outside the straight lines cut across by the transversal, and they also lie in the side of the transversal alternating each other

✔️<2 and <4 are corresponding angles.

They both take the same position on the same side of the transversal.

✔️<3 and <7 are alternate interior angles.

They are alternating angles along the transversal that are located just within the two lines intersected by the transversal.

✔️<4 and <3 are consecutive interior angles.

They are angles on the same side of the transversal but lie within the two straight lines intercepted by the transversal.

✔️<7 and <6 are linear pair angles.

They are angles on a straight line, and sum up to 180°.


Ann can accomplish his school project in x hours. What part of his school project can be completed
by Ann after 2 hours?

Answers

Answer:

T = [tex]\frac{2}{x}[/tex]

Step-by-step explanation:

Since we are only given the total number of hours that the project will take and nothing else, we can simply divide the 2 hours by the total number of hours in order to create an expression for the percent that will be completed in that time which in this expression would be represented by the variable T.

T = [tex]\frac{2}{x}[/tex]

We can then use this equation by plugging in a value for x in order to calculate the percent of the project that will be completed in 2 hours.

Find the equation of the circle with radius 3 and center (6,-2)

Answers

Answer:

(x - 6)² + (y + 2)² = 9

General Formulas and Concepts:

Pre-Calculus

Equation of a Circle: (x - h)² + (y - k)² = r²

(h, k) is the centerr is the radius

Step-by-step explanation:

Step 1: Define

Center (6, -2)

Radius r = 3

Step 2: Write equation

Substitute:                    (x - 6)² + (y + 2)² = 3²Evaluate:                       (x - 6)² + (y + 2)² = 9

Shown here is a mathematical step taken when solving an equation. Identify the mathematical reason or property used to simplify from the first step to the second step. 8D=56. D=7

Answers

Answer:

D. Division Property of Equality

Step-by-step explanation:

Given that [tex] 8D = 56 [/tex], to find the value of D, the property of equality that needs to be applied here would be the one that would make both sides equal by performing the same operation on both sides of the equation.

Thus:

Applying the the Division Property of Equality, we would divide both sides by 8.

[tex] \frac{8D}{8} = \frac{56}{8} [/tex]

[tex] D = 7 [/tex]

This will leave you with D standing alone. Of which value is 7.

HEYYYYYYYYYYY I NEED HELPPPPPP WILL GIVE BRAINLIST

Answers

Answer:

1/3

Step-by-step explanation:

There are six triangles

2/6 of them are green

We can simplify this to 1/3

Answer:

1/6

Step-by-step explanation:

Rewrite the expression x^(-7/8) in radical form.

Answers

Answer:

1 / 8√ x^(7)

Tell me if you need the step by step process.

How many decimeters are in 3.5 dekameters

Answers

Answer:

350 decimeters

Step-by-step explanation:

I did it on my calculator

3. Estimate the quotient. Round the divisor first. 482 ÷61=

Answers

Answer:

8.033

Step-by-step explanation:

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