1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lisov135 [29]
3 years ago
13

You are to take a multiple-choice exam consisting of 100 questions with 5 possible responses to each question. Suppose that you

have not studied and so must guess (randomly select one of the five answers) on each question. Let x represent the number of correct responses on the test. What is your expected score on the exam?
Mathematics
1 answer:
xeze [42]3 years ago
6 0

Answer:

20

Step-by-step explanation:

This is a binomial distribution

n = 100; p = 1/5

E(x) = np = (100)(1/5) = 20

You might be interested in
4.
zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.

Required

Prove

To start with; we open the bracket on the left hand side

(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)

(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)

(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x

(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x

Reorder

(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x

From trigonometry;

sin^2x + cos^2x = 1

So;

(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x

becomes

(sin x - cos x)^2 = 1 - 2sinx cos x

Also from trigonometry;

sec^2x - tan^2x = 1

So,  

(sin x - cos x)^2 = 1 - 2sinx cos x

becomes

(sin x - cos x)^2 = sec^2x - tan^2x  - 2sinx cos x

Proved

3 0
3 years ago
Please help! Will mark brainliest!
Oksi-84 [34.3K]

Sorry, misunderstood question, answer beneath me much better.

8 0
3 years ago
Read 2 more answers
A car salesman makes 10% commission on the first $ 10,000 and 12% on the remaining the 12,500 of his sales. How much commission
marissa [1.9K]
10,000 x .10 = $1000
22500-10000=12500 x .12 = $1500
$1000 + $1500 = $2500
6 0
3 years ago
A spinner with 6 equally sized slices is shown below. (2 slices are yellow, 1 is blue, and 3 are red.) The dial is spun and stop
Lady bird [3.3K]

Answer:

1/3

Step-by-step explanation:

We have 6 slices

2 are yellow

P ( yellow) = number of yellow / total

                 = 2/6

                  = 1/3

8 0
3 years ago
Read 2 more answers
Can someone help me ? i have no clue how to figure this out
Ad libitum [116K]

\cos t (\sec t - \cos t) = \sin^2 t

\cos t (\dfrac{1}{\cos t} - \cos t) = \sin^2 t

\dfrac{\cos t}{\cos t} - \cos^2 t = \sin^2 t

1 - \cos^2 t = \sin^2 t

Use the identity: \sin^2 t + \cos^2 t = 1 and solve for \sin^2 t. You get: \sin^2 t = 1 - \cos^2 t

Do the substitution on the left side to get:

\sin^2 t = \sin ^2 t

5 0
3 years ago
Read 2 more answers
Other questions:
  • How do you answer a, b and c, answers and also how you worked it out
    11·1 answer
  • Draw a model and write an equation to represent 4 times as many as 3 is 12 explain your work
    5·2 answers
  • Determine the equation of g(x) that results from translating the function f(x)=x^2+9 upward 10 units.
    5·2 answers
  • 8.-2(x + 1) = -2x + 5​
    13·2 answers
  • Plz Help
    6·1 answer
  • Alonzo, Alice, and Juan all solved the following problem but got different answers:
    13·1 answer
  • (~‾▿‾)~ <br><br>what's the answer ?<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%7B4%7D%5E%7B4%7D%20%20%5Ctimes%200
    10·2 answers
  • Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized.
    5·2 answers
  • Two friends share 4 oranges equally. how much does each friend get?
    5·2 answers
  • QUESTIONS BELOW! PLEASE HELP DONT KNOW WHERE TO START IM CONFUSED AND NEED THIS DONE!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!