In a quiz contest, Mary answers 90% of the questions correctly without any additional clues from the quiz coordinator. The randomly generated numbers below simulate this situation.

The numbers 0 to 8 represent questions answered correctly without additional clues, and the number 9 represents questions that needed additional clues.

44 51 99 66 23
68 72 20 20 59
50 89 39 36 20
90 13 51 47 92
49 20 89 10 13
52 82 52 52 99
28 10 33 35 73
40 44 30 95 22
99 10 55 10 35
36 78 92 37 96
The estimated probability that it would take at least three questions for Mary to need additional clues is (_____)

The estimated probability that Mary needed additional clues to answer two consecutive questions is (_____)

Answers

Answer 1

To solve this problem, we should note that there are:

total questions = 100

questions answered correctly = 90

questions that needed additional clues = 10

1. The first question is to find the probability that in the third question, Mary would need additional clue. Therefore this implies that in the first and second questions, Mary would answer it correctly. Therefore:

Probability = (question 1 answered correctly) * (question 2 answered correctly) * (question 3 needed clue)

Probability = (90/100)*(89/99)*(10/98)

Probability = 0.08256 = 8.26%

2. The second question finds for the probability that two consecutive needs additional clue, therefore:

Probability = (question 1 needed clue) * (question 2 needed clue)

Probability = (10/100)*(9/99)

Probability = 9.1*10^-3 = 0.91%

Answer 2

Answer:

1. The estimated probability that it would take at least three questions for Mary to need additional clues is 0.24

2. The estimated probability that Mary needed additional clues to answer two consecutive questions is 0.06

Step-by-step explanation:

I just took the test! I hope this helps you! <3


Related Questions

Christina had a total of $120 to spend while shopping. She already spent $68 on clothes . She wants to buy some video games that are on sale for $10 each, including tax.

Answers

Answer:

5 video games.

Step-by-step explanation:

In order to find the total number of video games that Tracy can buy with the money, she has we first need to find how much money she has left after buying the clothes. To do this we subtract the amount she spent on clothes by the initial total that Christina had.

120 - 68 = 52

Now that we know Christina has a remaining $52, we can divide this amount by the value of each individual game ($10) in order to calculate how many she can actually afford.

52 / 10 = 5.2

Finally, we can see that she can afford to only buy 5 video games.

Josh went for a drive in his new car. He drove for 6 hours at a speed of 38.4 miles per hour. How many miles did he drive​

Answers

6hours
At 38.4 miles per hour
So times 6 times 38.4 will give you the miles so he drove 230.4

Given the volume of the solid, find the value of x. Questions 7, and 8.

Answers

Answer:

12

Step-by-step explanation:

X is equal to 12

I found it is 12

A store sells a television for $1000. There are two payment options. Which option is better? ( PLS HELP!! I'M RLY STRUGGLING!! :< )

Answers

One of the options is $500+$500

solve for k. -5/6k = -10

Answers

Answer:

k = 12

Step-by-step explanation:

-5/6k = -10

Multiply both sides by 6k

-5/6k x 6k= -10 x6k

simplify

-5 = -60k

Switch sides

-60k = -5

Divide both sides by -60

-60k/-60 = -5/-60

Simplify to get your answer of

1/12 or 12

If you have any questions revolving around this topic,feel free to ask me :)

It costs $50 every two days to rent a bike. The amount y (in dollars) is proportional to the number x of days the bike is rented. a. Find the rate of change (slope) in simplest form. b. Write an equation that represents the situation. c. How many dollars will you pay for renting the bike 6 days?

Answers

Answer:

y=mx + c

Step-by-step explanation:

you find the answer using this equation

31.5%, 315%, 0.31, 64/200, 0,031 order from greatest to least

Answers

315%, 64/200, 31.5%, 0.31, 0.031

Is it possible for an isosceles triangle to have an obtuse angle of 179°? If so, what would the other two
angles have to be?

Answers

Answer:

Yes , 0.5°

Step-by-step explanation:

We know that in a isosceles triangle , two sides are equal and therefore two angles are also equal. If one of the angles is 179° then ,

⇒ 179 + 2x = 180

⇒ 2x = 180 - 179

⇒ 2x = 1

⇒ x = 0.5°

Yes it's possible to draw a isosceles triangle with one of the obtuse angles as 179° and the other angles will be 0.5° .

Yes it's possible.

I need help please!!!

Answers

It would be option D because a dilation means an increase in size, where as a translation, rotation, and reflection are all movements that does not increase it size, so it will remain congruent

−2.78 written as a mixed number?

Answers

Answer:

-2 39/50

Step-by-step explanation:

Have a good day

-2 78/100 or -2 39/50

Please help me with this worksheet.

Answers

1) translation
2) Rotation
3) Reflection
4) Reflection

The circumference of a circular field is 182.12 yards. What is the radius of the field

Answers

Answer:

Step-by-step explanation:

circumference=2πr

2 π r=184.12

π r=92.06

r=92.06/π≈29.30 yards

3. solve (-7) + b = (-11)

Answers

B= -4 hope this helps!!!

Sophia has already scored 54 points, and she scores 23 more points with every coin she collects. After collecting a total of 2 coins, how many points will sophia have scored in all?

Answers

Answer:

100 points

Step-by-step explanation:

As it is mentioned that she has scored 54 points already and each coin has 23 points.

54+23+23 =100

SORRY IF WRONG

Solve for x
triangle abc is similar to triangle aed

Answers

Answer:

9/5 or 1.8

Step-by-step explanation:

triangle aed is larger than triangle abc by a scale factor of 5; we know this because side ed is 5 units and cb, the corresponding side in triangle abc, is 1. if ad has a length of 9, the length of ab must be 9 divided by five. thus, z is equal to 9/5 or 1.8.

HELP PLEASE!!!!
what is the midpoint of (-5,-5) and (-1, -1)

Answers

(-3,-3) is your answer please give brainliest!

Answer:

(-3,-3)

Step-by-step explanation:

If g(x) = −3x + 4, what is the value of g(−3)?
A. 13
B. 5
C. −5
D. -13

Answers

G(-3)=-3(-3)+4= -5
The g(-3)= -5

Answer:

13

Step-by-step explanation:

g(x) = -3x + 4

g(-3) = -3 × -3+4

g(-3) = 9 + 4

g(-3) = 13 ........

Item 16 The solids are similar. Find the surface area S of the red solid. Round your answer to the nearest tenth.

Answers

reertttAnswer:

treryeryutruytruw

Step-by-step explanation:

tryutrytry

The area of a square room is 256 square feet. What is the length of one wall?

Answers

Answer: The length of one wall is 16ft

Step-by-step explanation: √256=16ft

Answer:

64ft

Step-by-step explanation:

256 divided by 4 since it is a square they are all even corners.

Figure A is a scale image of figure B.

Figure A maps to figure B with a scale factor of 0.25.
What is the value of x?

side of figure a=x
side of figure b=1.5

Answers

Answer:

Step-by-step explanation:

Solution

-=− 5

someone help me out. explain maybe

Answers

3rd option would be correct in my opinion

if (1x2y6z) is a number divisible by 9 , then what os the least value of x+ y+z ?

Answers

Given:  

Number 1X2Y6Z is divisible by 9.

To find:  

The least value of  X+Y+Z = ?

Solution:  

First of all, let us learn the divisibility rule of 9.  

A given number will be divisible by 9 if and only if the sum of digits of the given number is also divisible by 9.

For example:

Let us consider a number 923463.  

The sum of digits = 9 + 2 + 3 + 4 + 6 + 3 = 27  

27 is divisible by 9 so the number 923463 will also be divisible by 9.

Let us consider another example 8972.  

Sum of digits = 26  

26 is not divisible by 9 so the number 8972 will also be not divisible by 9.

Now, we are given the number 1X2Y6Z.  

Sum of digits = 1 + X + 2 + Y + 6 + Z = 9 + X+Y+Z

The number 1X2Y6Z will be divisible by if 9+X+Y+Z is divisible by 9.  

The least value of X+Y+Z can be zero, so the sum of digits = 9 + 0 = 9  

which will make the number 1X2Y6Z divisible by 9.

So, the answer is:

Least value of X+Y+Z = 0 so that the number 1X2Y6Z is divisible by 9.

9514 1404 393

Answer:

  0

Step-by-step explanation:

For a number to be divisible by 9, the sum of the digits must be divisible by 9. The given digits total 9, so x+y+z must be a multiple of 9. The least possible multiple of 9 is 0.

The least value of x+y+z is 0.

_____

102060/9 = 11340

A program contains the following statements: X = grade If 90: print ("You are an A student!") What action will the program take when x = 89? print "You are an A student!" print "grade - 89" print nothing print "You are a B student!"​

Answers

Answer:

C. Print Nothing

Step-by-step explanation:

For those who don't wanna read

Answer:

The program is going to print nothing because the script does not tell it to say anything other than when the grade (x) is greater than 90.

Therefore,the correct option is 3, print nothing

if (3,-4) is reflected over the line x=2 what is the image

Answers

Answer:

The coordinates of  are (-9,4)

Step-by-step explanation:

(3,-4) reflected over x=2 is (1,-4)

Thisssssssssssssssssssss one

Answers

no it is not a right triangle

How do you solve:

g(x) = x - 2

( I think the answer is 2 but how?!)

Answers

Answer:

x-2 =0

x=2

Step-by-step explanation:

we take -2 to the anther side it becomes 2

Answer:

-2

Step-by-step explanation:

A function is a rule for working out the values y for the given values x

For example, h = 3x and y = x^2 are functions. The notation g(x) is read as g of x. g is the function. g(x) = 3x means the function of x is 3x

So, when solving to find the value of x, you must substitute x for any given value.

For example, f(x) = 10/x. Work out f(5), you must substitute the 5 into the denominatior of the fraction 10/x . This becomes 10/5, which equals to 2.

But for your question, to find the value of x, substitute x with 0

You end up with -2

Hope this helps

BtW. the above statements are just notes. i thought they might help.

a³ × a² help me get the answer for this​

Answers

Answer:

a^5

Step-by-step explanation:

A law of indices states that a^b + a^c = a^(b+c)

a^3 x a^2 = a^5

Hope this helps

4. Find
A) 64.5
B) 68.5
C) 72.5
D) 76.5

Answers

Answer:

A) 64.5

Step-by-step explanation:

A circle's measurement is 360°.

It is given that arcPQ is 113° and arcQM is 118°. Subtract 113 and 118 from 360:

360 - (113 + 118) = 129°

ArcPM is 129 degrees. Note that this is a inscribed, but not a central angle. m∠PQM = (ArcPM)/2

m∠PQM = (129)/2

m∠PQM = 64.5

A) 64.5 is your answer.

~

What is the fractional portion of the circle represented
by the sector?

Answers

Answer:

A - 1/8

Step-by-step explanation:

just did it 2021

Answer:

1/8

Step-by-step explanation:

Two membership levels are offered at a local bookstore. how many books need to be purchased from each membership so that the 2 membership levels cost the same

Answers

Answer:

.

Step-by-step explanation:

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