MATHEMATICS COLLEGE

Suppose a quiz contains 20 true/false questions. You know the correct answer to the first 10 questions. You have no idea of the correct answer to questions 11 through 20 and decide to answer each using the coin toss method. Calculate the probability of obtaining a total quiz score of at least 85%

Answers

Answer 1
Answer:

Answer:

0.1719

Step-by-step explanation:

Given that:

A quiz contains 20 questions and 10 questions have been answered rightly

We are to determine the probability of getting a total quiz score of 85%

i.e 0.85 (20) = 17

Let's not forget that 10 is correctly answered out of 17. that implies that we only have 7 more questions to make a decision on.

where;

n = 10,

p + q = 1, 0.5 + q = 1

q = 1 - 0.5

q = 0.5

Let X be the random variable that follows the binomial distribution. Then ;

P(X = x) =(^n_x) p^x q^(n -x)

where x = 7

P(X \geq 7) =P(X=7)+P(X=8)+P(X=9)+P(X=10)

P(X \geq 7) =(^(10)_7})\ 0.5^7 \ 0.5 ^(10-7) + (^(10)_(8))\ 0.5^8 \ 0.5 ^(10-8)+(^(10)_9})\ 0.5^9 \ 0.5 ^(10-9)+ (^(10)_(10)})\ 0.5^(10) \ 0.5 ^(10-10)

P(X ≥ 7) = 0.1719

Related Questions

The expression cosine of pi over 2 times cosine of pi over 5 plus sine of pi over 2 times sine of pi over 5 can be rewritten as which of the following? cosine of 7 times pi over 10 cosine of 3 times pi over 10 sine of 7 times pi over 10 sine of 3 times pi over 10 (The clear version of the question is in the picture below)
4. Ray RU bisects LQRS. If mSRU =50° and m2QRU = (+10) . Find the value of x.Find m2QRS. (Lesson 1.2) (1 point)
Can somebody help with this ?
Find the missing values on the diagram below. Assume that each line is evenly divided
Solve the equation x squared=256

APEX. I’ll make you the brainliest . I need this ASAP :(Part 2: Use the formula you selected in part 1 to find the area of a circle with diameter 8 feet. Show your work and round your answer to the nearest hundredth. (2 points)
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Part 3: Use the formula you selected in Part 1 to find the area of a circle with diameter 10 feet. Show your work and round your answer to the nearest hundredth. (2 points)
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Part 4: Find the difference of your answers from part 2 and 3 to find the difference in the areas. Show your work and round your answer to the nearest hundredth. (1 point)

Answers

Answer:

Part 1= Pi * R Squared

Part 2: 50.27

Part 3: 78.54

Part 4: 28.27

Step-by-step explanation:

Part 1: Memorize the formula

Part 2: 8 feet diameter = Pi * 4 squared. 8 feet is the diameter so the radius is 4. 4 squared is 16. 16 * pi = approximately 50.27, but is 50.24 if 3.14 is used as pi.

Part 3: Pi * 5 squared since 10 is diameter. 25 * pi which is close to 78.54, but is 78.5 is 3.14 is used for pi.

Part 4: I subtracted Part 3 from Part 2.

Amelia rented a dvd and it was due to be returned on 26 novembershe actually returned it to the shop on 26 december
the rental shop applies a fine for 9p for every day the dvd is overdue
work out the total fine paid by amelia
give your answer in £?

Answers

Step-by-step explanation:

9p*30days= 45p

45÷100=0.45£

The correct answer would be No fine is paid if the DVD is returned by the due date, because the first 0 means it is 0 days overdue, so it is returned on time, and the second 0 means the fine would be $0!!

You need to lay communications cable around the perimeter of three offices, each 8' by 10'. How much cable do you need?

Answers

Answer:

108 units

Step-by-step explanation:

We are given that

Length of each  office,l=10 units

Breadth of each office=b=8 units

Total number of office=3

We know that

Perimeter of rectangle=2(l+b)

Using the formula

Length of cable for 1 office=2(10+8)=36units

Length of cable required for 3 offices=36* 3=108units

Hence, the required length of cable=108 units

QuestionGiven that tan(0) =5/12
and 0 is in Quadrant III. what is cos(0)? Write your answer in exact form. Do not round.
Provide your answer below:

Answers

Answer:

cosΘ = - (12)/(13)

Step-by-step explanation:

Given that Θ is in the third quadrant then cosΘ < 0

Given

tanΘ = (5)/(12) = (opposite)/(adjacent)

Then 5 and 12 are the legs of a right triangle (5- 12- 13 ) with hypotenuse = 13

Thus

cosΘ = - (adjacent)/(hypotenuse) = - (12)/(13)

Help plz i dont understand

Answers

Answer:

The answer is 90;

Step-by-step explanation:

since each variable has a given value, just plug the numbers into the equation.

3(6)5=90

Since there is no d in the equation, don't worry about it:)

A submarine was 350 feet below sea level. Then, it rose 75 feet, before diving back down another 100 feet. What is the current elevation of the submarine?​

Answers

The submarine would be 375 feet below sea level.

Since this is talking about BELOW sea level, you would subtract 75 from 350 instead of adding, which would give you 275. Then, you would add 100 to that instead of subtracting, which gives to 375.
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HELP ME PLEASE IF YOU DO YOU WILL GET BRAINLESS AND PLEASE EXPLAIN THE BEST YOU CAN
I’ll give points and brainalist for correct answer (: