In a True - False exam with 100 questions , passing requires a score of at least 60. What is the probability that a guesser does not pass the exam ?

Answers

Answer 1

The probability that a guesser does not pass the exam is approximately 0.3272 using the binomial distribution or 0.0228 using the normal approximation to the binomial distribution.

Since each question is True-False, the probability of guessing the correct answer is 0.5.

If a guesser answers each question randomly and independently, we can model the number of correct answers using a binomial distribution with n = 100 and p = 0.5.

The probability of passing the exam with a score of at least 60 is the probability of getting 60 or more correct answers, which can be calculated using the binomial distribution or by using the normal approximation to the binomial distribution.

However, we are interested in the probability of not passing the exam, which is the complement of the probability of passing.

Using the binomial distribution, we have:

P(not passing) = 1 - P(passing)

              = 1 - P(X ≥ 60)

              = 1 - Σ P(X = k), for k = 60 to 100

              = 1 - binomcdf(100, 0.5, 59)

              ≈ 0.3272

Using the normal approximation to the binomial distribution, we have:

μ = np = 100 × 0.5 = 50

σ = sqrt(np(1-p)) = sqrt(100 × 0.5 × 0.5) = 5

P(not passing) = P(X < 60)

              = P((X - μ)/σ < (60 - 50)/5)

              = P(Z < 2)

              ≈ 0.0228

Therefore, the probability that a guesser does not pass the exam is approximately 0.3272 using the binomial distribution or 0.0228 using the normal approximation to the binomial distribution.

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Related Questions

How many calories are in 1lb of nuugets and fries from reddi rooster

Answers

Answer:

There are 352 calories in 6 nuggets. There are 312 calories in a regular size of chips. (fries)

Step-by-step explanation:

El papa de Carlos compró 5 películas por $250 si solo comprara 2 películas ?cuanto pagaría?

El papa de Carlos compr 5 pelculas por $250 si solo comprara 2 pelculas ?cuanto pagara?

Answers

Si Carlos compra solamente 2 películas sería $100. Si Carlos compro 5 películas por $250, divides 250 y 5 y tendrás 50, cada película cuesta $50.

what is the purpose of using prefixes in the metric system

Answers

The purpose of using prefix in the metric system is to properly sale the basis of the unit so large numeric values can be used effectively.

If the metric system is not properly prefixed it can lead to various inconsistencies in the the numeric values. for example if you go to a computer store and you do not know the scale like (kb, mb, gb, tb) you will get quite confused about what is the sales representative saying

Consider you went to a store to get sugar and you do not know the metric system say(gram, kg, mg) you would not know how much sugar you need directly by taking it in your hands.

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A robot vacuum cleans a dirty floor using multiple passes. During each pass, 24% of the dirt is removed. If the floor initially has 550 ml of dirt, write a function to find out how much dirt will remail after 10 passes?

please include function and value.​

Answers

The function is given by y = 550(0.76)ˣ, after 10 passes, the number of dirts is about 35.36 ml

How to solve an exponential function?

Let y represent the amount of dirt on the floor after x passes.

The floor initially has 550 ml of dirt, hence a = 550.

During each pass, 24% of the dirt is removed. Hence b = 100% - 24% = 76% = 0.76

The equation is given by:

y = 550(0.76)ˣ

After 10 passes:

y = 550(0.76)¹⁰ = 35.36 ml

The function is given by y = 550(0.76)ˣ, after 10 passes, the number of dirts is about 35.36 ml

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Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!

Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!

Answers

Answer:

see below

Step-by-step explanation:

(x + 1.5)² - 2.25 - 28 = 0

(x + 1.5)² - 30.25 = 0

(x + 1.5)² = 30.25

Which of the following steps were applied to ABC obtain AA'B'C?
12
8
B
6
A
-6
-2
4
6
10
A. Shifted 4 units left and 3 units down
B. Shifted 4 units left and 2 units down
C. Shifted 3 units left and 3 units down
D. Shifted 3 units left and 2 units down
Will give brainliest pls help!!!​

Which of the following steps were applied to ABC obtain AA'B'C?128B6A-6-24610A. Shifted 4 units left

Answers

Answer: B

Step-by-step explanation:

The transformation that took place to form A'B'C' is Shifted 4 units left and 2 units down.

What is transformation?

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Given that, a triangle ABC has undergone a transformation to form A'B'C' we need to identify the steps of transformation

So, considering the point B and B', we see, that, x-coordinate of B is at 5 and that of B' is at 1, that mean there is a shift of 4 units left,

Now, consider the y-coordinate, we see, that B is at 9 and B' is at 7 that gives a downward shifting of 2 units.

Hence, the transformation that took place to form A'B'C' is Shifted 4 units left and 2 units down.

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Bhumika borrowed F 18,000 from a bank
15 january 2018 at the rate of 10% per
annum. Shake paid the loan amount on 10
june 2018 and cleared the account. How
money she paid to the bank!​

Answers

Answer:

Students deliver catalogues and leaflets to houses.

One day, they have to deliver 480 catalogues and 1520 leaflets.

Each student can deliver either 15 catalogues or 80 leaflets in 1 hour. Each student can only work for 8 hours. All students hired are paid £50.40 per day, even if they don't work a full day.

If the minimum number of students are hired, how much will the wage bill be?

If a pet grooming salon hires an additional groomer, that worker can groom 4 additional pets per day. the average grooming fee is $25. the most the salon would be willing to pay that groomer is

Answers

The most the salon would be willing to pay that groomer is $25×4 = $100.

What is unitary method?

The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.

Some key features regarding the unitary method are-

It's a method which we use for the majority of math calculations. This method will come in handy when answering questions about ratio & proportion, algebra, geometry, and other subjects.We can determine the missing value using the unitary method. For example, if one carton of juice pays $5, how much would five such packets cost? We can then easily determine the price of 5 packets, which is $25.

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The clasp on Megan's purse was broken. She decided to go downtown to have it repaired at the jewelry store. She told her mother that she would be back in one-half of an hour. As she began her descent of the stairs she looked at her watch. It was 10:00 a.m. What time should she be back at home?​

Answers

Answer:

10:30

Step-by-step explanation:

Half an hour is 30 min

the measure of an angle is 168°. what is the measure of its supplementary angle?​

Answers

Answer:

Im not sure but I think its 12

Step-by-step explanation:

what does X Equal for 0.4 repeating​

Answers

Answer:

x=4/9

Step-by-step explanation:

We first let 0.4 (4 being repeated) be x.

10x=4.4

10x-x=4.4-0.4

9x=4

x=4/9

In a flower garden, there are 6 tulips for every 7 daisies. If there are 54 tulips, how many daisies are there? A. 69
B. 65
C. 61
D. 63

Answers

Answer:

D

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

54+ 7 = 61 yuhhhhh

a company wants to study the effectiveness of a new pain relief medicine. they recruit 100 100100 volunteers with chronic pain. each subject takes the new pain relief medicine for a 2 22-week period, and a placebo for another 2 22-week period. subjects don't know which pill is the actual medicine, and the order of the pills is randomly assigned for each subject. researchers will measure the difference in the overall pain level for each subject. what type of experiment design is this?

Answers

The described experiment design is a randomized controlled trial (RCT) with a double-blind setup, where participants with chronic pain are randomly assigned to receive either the new pain relief medicine or a placebo, and the order of the treatments is also randomly assigned.

In an RCT, participants are randomly assigned to different groups to receive different interventions or treatments.

In this case, the volunteers with chronic pain are randomly assigned to two groups: one group receives the new pain relief medicine for a 2-week period, followed by a placebo for another 2-week period, while the other group receives the placebo first and then the pain relief medicine.

The random assignment helps minimize selection bias and ensures that any differences observed between the groups can be attributed to the treatments rather than other factors.

Furthermore, the fact that the participants do not know which pill they are taking adds a double-blind element to the experiment. This means that neither the participants nor the researchers assessing the outcomes are aware of the treatment assignment, reducing potential bias in reporting pain levels.

By measuring the difference in overall pain level before and after each treatment period, the researchers can evaluate the effectiveness of the new pain relief medicine compared to the placebo. This design allows for a direct comparison of the outcomes between the two groups, providing valuable evidence on the efficacy of the medication.

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A first-time home buyer is given the choice of two loans: Loan A Loan B $390,000 15 year-fixed 4 discount points M = $3,509.71 $390,000 15 year-fixed 0 discount points M = $3,659.86 How much does the home buyer save in total by choosing Loan A? $27,027.00 $11,427.00 $26,351.02 $42,627.05

Answers

The home buyer saves $26,289 by choosing Loan A. The closest answer choice is $26,351.02.

Calculating the amount the home buyer saves by choosing loan A

From the question, we are to determine the amount the home buyer saves in total by choosing loan A

To calculate the savings, we need to find the total amount paid for both loans and then subtract the total paid for Loan A from the total paid for Loan B.

For Loan A:

M = $3,509.71

Total amount paid = 15 years x 12 months/year x $3,509.71/month = $631,748.20

For Loan B:

M = $3,659.86

Total amount paid = 15 years x 12 months/year x $3,659.86/month = $658,037.20

The difference between the two is:

$658,037.20 - $631,748.20 = $26,289.00

Hence, the amount the home buyer saves is $26,289

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Answer:

B. 11,427.00

Step-by-step explanation:

got it right on test

Alejandra states that ax+ b= a(x+ c), given a, b, and c are not equal to 0. What must be the value of c for Alejandra's statement to be true? (Hint: Solve for c.)

Answers

Answer: c = b/a

Step-by-step explanation:

ax+ b= a(x+ c)

ax+ b= ax+ ac

b= ac

c = b/a

From the information given, find the quadrant in which the terminal point determined by t lies. For each question, enter I, II, III, or IV.
(a) sin(t) < 0 and cos(t) < 0, quadrant ...
(b) sin(t) > 0 and cos(t) < 0, quadrant ...
(c) sin(t) > 0 and cos(t) > 0, quadrant ... (d) sin(t) < 0 and cos(t) > 0, quadrant....

Answers

These assignments of quadrants are based on the signs of sine and cosine values, as they determine the placement of the terminal point on the unit circle.

(a) sin(t) < 0 and cos(t) < 0, quadrant III.

In quadrant III, both the sine and cosine values are negative.

(b) sin(t) > 0 and cos(t) < 0, quadrant II.

In quadrant II, the sine value is positive, while the cosine value is negative.

(c) sin(t) > 0 and cos(t) > 0, quadrant I.

In quadrant I, both the sine and cosine values are positive.

(d) sin(t) < 0 and cos(t) > 0, quadrant IV.

In quadrant IV, the sine value is negative, while the cosine value is positive.

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below is a cumulative algorithm using an array and a range-based loop. what is printed? (assume this is inside main() with all includes, etc.)

Answers

Without seeing the algorithm, it is impossible to provide an answer.

The question states that there is a cumulative algorithm using an array and a range-based loop, but the actual algorithm is not provided. Therefore, without knowing what the algorithm is doing or what values are being used, it is impossible to determine what will be printed.

The question is incomplete as it does not provide the cumulative algorithm that is being referred to. Therefore, no answer can be provided without additional information.
That without the specific algorithm and code snippet, I am unable to determine what will be printed. For a proper explanation, please provide the cumulative algorithm using an array and a range-based loop that you mentioned.

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Examine the given sequence. Which statement is not correct?
A)
If c = 14, the relationship is linear and f(x) = 2x + 8 for x = {1, 2, 3, ...}.
B)
If c = 14, the relationship is linear and an = 10 + 2(n - 1) for n = {1, 2, 3, ...).
C)
If c = 14.4, the relationship is exponential and f(x) = 10(1.2)(x - 1) for x = {1,
2,3,...).
If c = 14.4, the relationship is exponential. a1 = 10 and an+1 = an + 1.2 for
n = {1, 2, 3, ...)
D)

Will mark brainiest please answer before tomorrow

Answers

The answer I feel it is is choice C and the reason why is because

If c = 14.4, the relationship is exponential. \(a_1\)= 10 and \(a_n\)+1 = \(a_n\)+ 1.2 for n = {1, 2, 3, ...) is not correct.

Thus, option (D) is correct.

A) If c = 14, the relationship is linear and f(x) = 2x + 8 for x = {1, 2, 3, ...}.

This statement defines a linear relationship, where the function f(x) = 2x + 8.

It's correct if c = 14.

B) If c = 14, the relationship is linear and an = 10 + 2(n - 1) for n = {1, 2, 3, ...).

This statement also defines a linear relationship, where the nth term (an) is given by an = 10 + 2(n - 1).

C) If c = 14.4, the relationship is exponential and f(x) = 10(1.2)(x - 1) for x = {1, 2, 3, ...).

This statement defines an exponential relationship, where the function f(x) = \(10(1.2)^{(x - 1)\).

It's also correct if c = 14.

D) If c = 14.4, the relationship is exponential. \(a_1\)= 10 and \(a_n\)+1 = \(a_n\)+ 1.2 for n = {1, 2, 3, ...).

This statement defines an exponential relationship.

This is not correct.

Thus, option (D) is correct.

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Covert the following decimals to percents.

0.15 =_%

Answers

Answer:

15%

Step-by-step explanation:

0.15 x 100 = 15%

Does anyone know what graph is correct?

Does anyone know what graph is correct?

Answers

First graph is the correct one.

when x= 1

y=f(x) = -√1 = -1

when x= 2

y= -√2

The third wait no the first actuality it’s the second one

Destiny paid $6.60 for a dozen cupcakes for a birthday party. What is the unit cost for each cupcake?
$0.33
$0.44
$0.55
$0.66

Answers

Answer:

e e enene

Step-by-step explanation:

enenenee

Answer:

.55

Step-by-step explanation:

6.6/12 is .55

hope that helps :)

All or the following are equivalent except
A.x+(-2)
B.x-(-2)
C.-2+x
D.x-2

Answers

Answer:

Step-by-step explanation:

A x - 2

B x + 2

C x - 2

D x - 2

Option B is not equivalent

a) Why would a department manager receiving an allocation of costs care about management's methodology of overhead allocation?
b) What difference do the allocation base and rate make? Don't all of the overhead costs eventually make their way to the income statement?
c) Cost planning is budgeting. Are budgets as helpful as theoretically proposed? Consider budgets from a business perspective. Which budget(s), based on reading, do you believe is/are most important to the organization's success? How does the government's budget process compare to the operating budgeting process described in the chapter? What are the similarities and differences?

Answers

a) A department manager receiving an allocation of costs will care about management's methodology of overhead allocation because the overhead costs allocated to their department will have a direct impact on the department's profitability and cost efficiency.

b) The allocation base is the measure used to determine how much of the overhead costs should be allocated to a particular department or product, while the allocation rate is the amount of overhead costs allocated to each unit of the allocation base

c) Budgets are an important tool for cost planning, but their effectiveness depends on how well they are developed and implemented.

a) If the allocation method used by management is not accurate or fair, it could result in the department being burdened with more costs than they actually incur, which could affect their ability to meet their targets and objectives. It is, therefore, important for department managers to ensure that the allocation of costs is done fairly and accurately.

b) The allocation base and rate are important because they determine how the overhead costs are allocated to different departments or products.

Different allocation bases and rates can result in significantly different amounts of overhead costs being allocated to different departments or products, which can impact their profitability. While all of the overhead costs eventually make their way to the income statement, the allocation of these costs can have a significant impact on the accuracy of the income statement and the ability of the organization to make informed decisions.

c) Budgets can be helpful in providing a roadmap for achieving the organization's goals and objectives, but they need to be flexible enough to adapt to changing circumstances and priorities.

The budget(s) that are most important to the organization's success will depend on the nature of the organization and its objectives. However, typically the operating budget, capital budget, and cash budget are the most important budgets for most organizations.

The government's budget process is similar to the operating budgeting process described in the chapter in that it involves the development of a budget to allocate resources and achieve goals. However, the government's budget process is more complex and involves additional considerations such as political priorities and public opinion. Additionally, the government's budget process involves a more detailed review and approval process than the operating budgeting process.

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A person riding in an elevator travels 180 feet in 30 seconds. What equation represents this relationship? How many feet will this person travel in 10 seconds?

A person riding in an elevator travels 180 feet in 30 seconds. What equation represents this relationship?

Answers

Answer:

The answer is C

30 seconds= 180 feet
Divide both sides by 3
30/3= 10 seconds
180/3= 60 ft
The answer is B

A daycare charges a base fee of 3 dollars plus 0.50 dollars per minute for late (after closing time) pick-ups. Albin had to pay 10.50 dollars for a late pick-up. Albin uses the equation, 10.50 = 0.50 a + 3 to represent the situation. What does the variable a represent in the equation?

Answers

Answer:

The time in minutes for late pick ups

Step-by-step explanation:

Given the expression for the situation

\(10.50 = 0.50 a + 3\)

The variable "a" represents the time in minutes for late pick ups.

The expression is similar to the equation of a straight line

\(y=mx+c\)    

when compared to the given expression

we can state that

y= 10.5 which is the outcome of the situation

m= gradient which is 0.5

a= independent variable which is the time in minutes

c= 3 which is the constant term

Answer:

a or number of minutes of pickups

Step-by-step explanation:

khan

simplify the expression

simplify the expression

Answers

the simplified version should be -2.

Carlie's sister works in a furniture store.
aCarlie's sister earns $35 per hour. The store offers her a raise a 3.5% increase per hour. After the raise,
how much will Carlie's sister make per hour?

Answers

Answer:

Step-by-step explanation:

Flat Raise: With a flat raise, you will determine how much additional money you would be getting as a flat sum, which adds to your annual salary. You can also figure out weekly, bi-weekly, or semi-monthly pay by dividing the yearly amount by the appropriate period. But if math isn’t your strong suit, our pay raise calculator will automatically determine that for you.

For example, let’s say that your gross annual wages are $30,000, with weekly payments of $577 going your way. You currently have 33 hours per week on average, and your employer proposes to give you a flat raise of $1,200. You want to determine how much their weekly pay will be and how much more you will ultimately receive. Add their current gross wages to the Current Pay with the Pay Period set to Annual. Insert the Flat Raise amount of $1,200 and press “Calculate.” You’ll get a new weekly payment of $600 with a total difference of $23.

Find the percent of the number. 140% of 60 is

Answers

100% of 60 = 60

100%=60

140% of 60 = x

140%=x

60/x = 100/140

(cross multiplication)

x = 84

140% of 60 = 84

PLS HELP MEEEEEEE IM CRYING RN IM GONNA FAIL

PLS HELP MEEEEEEE IM CRYING RN IM GONNA FAIL

Answers

1 and 3 are proportional.
2 and 4 not proportional.

For it to be proportional, y = kx, where k is a constant.

For 1, y = 2x
For 3, y = -3x

So those are proportional

Help down below, I know the answers but I just wanna see if I got them correct

Help down below, I know the answers but I just wanna see if I got them correct

Answers

Answer:

Standard form: 62,080,126

Word form: Sixty-two million, eighty thousand, one hundred twenty-six

Expanded form: 60,000,000 + 2,000,000 + 80,000 + 100 + 20 + 6

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