To graduate this semester, you must pass Statistics 314; and you estimate that you have an 85% chance of passing. You need to pass Math 272 or Math 444, each of which you have an 80% chance of passing: so you will take both in hopes that you will pass at least one. Further, you must pass German 320, which you believe you have a 90% chance of passing. Assuming your chances of passing each class you take are independent, what is your probability of graduating this semester

Answers

Answer 1

Answer:

Probability of graduating this semester is 0.7344

Step-by-step explanation:

Given the data in the question;

let A represent passing STAT-314

B represent passing at least in MATH-272 or MATH-444

M1 represent passing in MATH-272

M2 represent passing in MATH-444

C represent  passing GERMAN-32

now

P( A ) = 0.85, P( C ) = 90, P( M1 ) = P( M2 ) = 0.8

P( B ) = P( pass at least one of either MATH-272 or MATH-444 ) = P( pass in MATH-272 but not MATH-444 ) + ( pass in MATH-444 but not in MATH 272) + P( pass both )

P( B ) =  P( M1 ) × ( 1 - P( M2 ) ) + ( 1 - P( M1 ) ) × P( M2 ) + P( M1 ) × P( M2 )

we substitute

⇒ 0.8×0.2 + 0.2×0.8 + 0.8×0.8 = 0.16 + 0.16 + 0.64 = 0.96

∴ the probability of graduating this semester will be;

⇒ P( A ) × P( B ) × P( C )

we substitute

⇒ 0.85 × 0.96 × 90

0.7344

Probability of graduating this semester is 0.7344


Related Questions

Please help!!! Solve for the m

Answers

Answer:

36°

Step-by-step explanation:

[tex]m\angle C =sin^{-1}\frac{17}{29}\\m\angle C =35.888297553\degree\\m\angle C =36\degree[/tex]

⚠️ANSWER ASAP⚠️ 4x−(2x−9)−12x How many terms

Answers

Answer:

4

Step-by-step explanation:

What is the approximate value of 12−−√ ?


3.5


2


6


4.5

Answers

The answer is 3.5. Do you need me to explain or is that ok?

I need the answer for this question

Answers

Answer:

6,912 i think that's the answer I'm not sure though

Step-by-step explanation:

Answer:

[tex]8,400in^2[/tex]

Step-by-step explanation:

Area of Trapezoid: [tex]A=h(\frac{b1+b2}{2} )[/tex]

Given: B1, B2 and h

B1 = 18 in

B2 = 24

h = 16 in

Substitute variables for the give numbers:

[tex]A=16(\frac{18+24}{2} )\\A = 336 in^2[/tex]

The 336 in is for one desk, and they want you to find 25 desks. So multiply 336 and 25.

[tex]x = 25(336)\\x = 8,400in^2[/tex]


X = {1,3,5,7)
Y = {13,57}
Which of the following is the set XnY?

Answers

Answer:x is a letter in music.} 3. Determine whether each set is well-defined. If it is not well-defined, explain why, ... true (e) {1, 3, 5, 7, 9) = {1, 5, 9, 3, 7) false_(f) {1,3,5, 9) = {1,3,5,9} ... Describe each of the following sets as either finite or infinite. ... 13 listened to heavy metal and alternative rock; 12 listened to rap and alternative rock;. or

x 2 - 2yZ = 7 with x = 2v + 1 and y = 2b + 1. These have solutions. (x, y; v, b) = (3, 1; 1,0), (5,3; 2,1), (13,9; 6,4),. (27,19; 13,9), (75,53; 37, 26), (157,111; 78, 55), .

Step-by-step explanation:

At the beginning of the month, Sarah had 600 in her bank account. Within the month she made two deposits of and She also made three withdrawals 100, , and 20. How much was in her account at the end of the month?

Answers

Answer:

At the end of the month she has $578

Step-by-step explanation:

Given

[tex]Start\ balance = 600[/tex]

[tex]Deposits=50; 100; 48[/tex]

[tex]Withdrawal: 100; 20; 100[/tex]

Required

The balance at month end

Deposits simply means adding cash to the account and it has a very simple interest. So, we add .

While Withdrawal taking money out of the account. So, we subtract.

So, we have:

[tex]Month\ end = Start\ balance + Deposits + Withdrawal[/tex]

[tex]Month\ end = 600 + [50 + 100 + 48] - [100 + 20 + 100])[/tex]

[tex]Month\ end = 600 + 198 - 220])[/tex]

[tex]Month\ end = 578[/tex]

Hence, at the end of the month she has $578

Given: Circle O; ZA intercepts BC; ZD intercepts BC Two statements are missing reasons. What reason can be used to justify both statements 2 and 3? Prove: ZA ZD Statements Reasons D 1. given A 1. circle O; ZA intercepts BC, ZD intercepts BC 2. m ZA= (MBC ) 3.m4D = 1mBC) (MBC 12.1? B 3.? 4. mZA=mZD 4. substitution property 5. ZASZD 5. definition of congruent angles O inscribed angles theorem​

Answers

Answer:

A. Inscribed angle theorem

Step-by-step explanation:

The missing reasons in the proof are inscribed angles theorem​.

What is an arc in a circle?

In mathematics, an arc is defined as a portion of the boundary of a circle or a curve. It can also be referred to as an open curve. The boundary of a circle is the perimeter or the distance around a circle, also known as the circumference.

Given that, a circle, with arcs AD and BC, we need to find the reason in the proof,

The reasons are inscribed angles theorem.

Inscribed angles theorem :-

The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle. Therefore, the angle does not change as its vertex is moved to different positions on the circle.

Hence the missing reasons in the proof are inscribed angles theorem​.

Learn more about arcs, click;

https://brainly.com/question/29886215

#SPJ7

Find the mean of 9, 2, 2, 1, 1 graphically.

Answers

9+2+2+1+1= 15
15/5= 3

In August 2003, 56% of employed adults in the United States reported that basic mathematical skills were critical or very important to their job. The supervisor of the job placement office at a 4-year college thinks this percentage has increased due to increased use of technology in the workplace. He takes a random sample of 30 employed adults and finds that 21 of them feel that basic mathematical skills are critical or very important to their job.

Required:
Is there sufficient evidence to conclude that the percentage of employed adults who feel basic mathematical skills are critical or very important to their job has increased at the a = 0.05 level of significance?

Answers

Answer:

Yes

Step-by-step explanation:

First, suppose that nothing has changed, and possibility p is still 0.56. It's our null hypothesis. Now, we've got Bernoulli distribution, but 30 is big enough to consider Gaussian distribution instead.

It has mean μ= np =  30×0.56=16.8

standard deviation s = √npq

sqrt(30×0.56×(1-0.56)) = 2.71

So 21 is (21-16.8)/2.71 = 1.5494 standard deviations above the mean. So the level increased with a ˜ 0.005 level of significance, and there is sufficient evidence.

in the graph, the vector terminating at A represents the complex number z. the vector terminating at B represents the product of z and -2. which graph correctly represents the product?y

Answers

Answer: The first one in the picture.

Step-by-step explanation: I got this right on Edmentum.

*There’s a picture below

Help!!!!!! Which function is best represented by this graph

Answers

Answer:j

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

WHAT THE HECK IS THAT SHAPE PLEASE HELP IM SLOW

Answers

Answer: It looks like a Trapezoid

Step-by-step explanation:

Answer:

trapezoid

Step-by-step explanation

there are two lines across from each toher that are parallel, but the other two lines aren't , so this has to be a trapezoid. there are also no right angles

What is the measure of angle XYZ?

Answers

Answer:

63degrees

Step-by-step explanation:

Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.

Given

angle of its intercepted arc = 126 degree

Required

angle at the vertex = x =<XYZ

According to the theorem;

x = 1/2(126)

x = 126/2

x = 63

Hence the measure of <XYZ is 63degrees

Would it be possible to draw a triangle with the following side lengths?
7 feet, 9 feet, 13 feet

Answers

Answer:

it is not possible

Step-by-step explanation:

Which One Doesn't Belong (WODB)

Indicate which multiplication problem you believe does NOT belong in the group.

Explain Why!

Answers

Answer:

I think A does not belong to the multiplication problems, because A's outcome is 2 digit while the others are 1 digit.

Step-by-step explanation:

3 1/7 x 10 answer plz

Answers

Answer:

31.43

Step-by-step explanation:

3 1/7 = 3.14285714285

3 1/7 x 10 = 31.4285714286 which is about 31.43

Answer:

31 [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]\frac{22}{7}[/tex]×[tex]\frac{10}{1}[/tex]

[tex]\frac{220}{7}[/tex]

31 [tex]\frac{3}{7}[/tex]

The weight of 8 science books is 28 pounds. What is the weight of 11 science books?

The weight of 11 science books is
pounds.

Answers

Answer:

11 books = 33 Pounds

Step-by-step explanation:

24 divided by 8 = 3 pounds per book.

3 x 11 = 33 pounds

Hope this helps

Answer:

38.5

Step-by-step explanation:

28÷8=3.5

3.5×11=38.5

Kim is evaluating the expression 20 - 3p + 1 when p=4. Which expression can Kim use to evaluate the expression correctly?

Answers

The answer is 20-8. Hope this helps plus mark brainly!

Answer:

20-3(4)+1

Step-by-step explanation:

A sprinkler rotates 360° to water a circular region. If the total area watered is approximately 2,200yd2, determine the radius of the region (the radius is length of the stream of water). Round the answer to the nearest yard.

Answers

Answer:

Radius = 26 yards.

Step-by-step explanation:

The complete rotation of the sprinkler makes a circle of radius R (R is the length of the stream of water).

Remember that the area of a circle of radius R is:

A = pi*R^2

where pi = 3.14

In this case, we know that the area is equal to 2,200 yd^2

Then:

A = 2,200 yd^2 = 3.14*R^2

Solving this equation we can find the value R.

(2,200 yd^2)/3.14 = R^2

√( (2,200 yd^2)/3.14) = R  = 26.47 yards.

We want to round it to the nearest yard, then we need to look at the first digit after the decimal point. It is smaller than 5, then we round down, we get:

Radius = 26 yards.

answer and show work and ill give brainliest

Answers

9514 1404 393

Answer:

  (d)

Step-by-step explanation:

The area of the semicircle is ...

  A = (1/2)πr²

  A = (1/2)(3.14)(4 m)² = 25.12 m²

The area of the triangle is ...

  A = 1/2bh

  A = 1/2(12 m)(8 m) = 48 m²

Then the total area of the composite figure is ...

  total area = semicircle area + triangle area

  = 25.12 m² + 48 m² = 73.12 m²

_____

Additional comment

The areas of choices A-C are too small. Choice A represents the area of the full circle. Choice B represents the area of the triangle only. Choice C is completely irrelevant. Choice D is the sum of the first two choices, inappropriately using the full circle area.

You should talk to your teacher about this question. None of the offered choices is correct.

y = x + 45
What is the y-intercept of the relationship?
A. 45
B. x + 45
C. x
D. y - 45

Answers

Answer:

D

Step-by-step explanation:

Need help on this question thanks

Answers

Answer:median

Step-by-step explanation: because median is used to be in the middle so those are numbers that would be in the middle, and if you add them up it would contain a high amount of number but if you subtract half you get your answer, and your Welcom!

CAN SOMEONE PLZZZ HELP ME? THIS IS DUE IN LIKE 5 MINUTES

Answers

Answer:

I think E im not sure which other one.

Step-by-step explanation:

Answer:

A and E

Step-by-step explanation:

hope this helps and hope you get a good score on your assignment/test/quiz

what is the solution to 2(3m+4)=6(1-2m)

a) m=2
b) m=-2
c)m=-10
d.)m=1/5​

Answers

Answer:

The answer is in the picture below.

Step-by-step explanation:

1. Determine the area under the standard normal curve to the left of z=2.10.

Answers

The answer is 0.982

In your calculator you need to go to 2nd distr and then normalcdf. Then enter the lower bound as -99, the upper bound as 2.1, mean as 0 and standard deviation as 1. Then press enter and you should get 0.982 as your answer :)

sketch the graphs using 3 points that belong to it y = -3x +2

Answers

Answer:

Step-by-step explanation:

Answer:

0,2

1,-1

2,-4

Step-by-step explanation:

please can someone help me quickly? i will give brainliest (please no links)

Answers

I believe it’s for every 3 gallons of gas you buy it’s $10! An easy tip I recommend is looking for where the line lines up on the graph. I learned that has been very useful! Please comment if you have any questions!

question in screenshot

Answers

cosC would be C.12/13
Explanation: When you simply that’s the answer.

Simplify 1 1/8 x 4 +2 5/6 x 3​

Answers

Answer:

bro just search it on mathaway or calculator soup

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Gretta is 1 1/2 meters tall. Which of the following is equivalent to 1 1/2 meters? A 150 millimeters B 1.500 millimeters C 100 millimeters D 1,000 millimeters​

Answers

Answer:

1500 millimeters is your answer

Other Questions
5) A section of rope is divided into 4 pieces. The 1st piece is 3 times as long as the 2nd piece. The 3rd piece is as long as the 2nd piece less 25 feet. The 4th piece is 2 times as long as the 2nd piece plus 30 feet. Write an expression representing each rope piece. How long is each piece of rope if the total length is 425 feet. The Emancipation Proclamation, excerptBY THE PRESIDENT OF THE UNITED STATES OF AMERICA. A PROCLAMATION.I, ABRAHAM LINCOLN, President of the United States of America, and Commander-in-Chief of the Army and Navy thereof, do hereby proclaim and declare that hereafter, as heretofore, the war will be prosecuted for the object of practically restoring the constitutional relation between the United States, and each of the States, and the people thereof, in which States that relation is, or may be, suspended or disturbed.That it is my purpose, upon the next meeting of Congress to again recommend the adoption of a practical measure tendering pecuniary aid to the free acceptance or rejection of all slave States, so called, the people whereof may not then be in rebellion against the United States and which States may then have voluntarily adopted, or thereafter may voluntarily adopt, immediate or gradual abolishment of slavery within their respective limits; and that the effort to colonize persons of African descent, with their consent, upon this continent, or elsewhere, with the previously obtained consent of the Governments existing there, will be continued.That on the first day of January in the year of our Lord, one thousand eight hundred and sixty-three, all persons held as slaves within any State, or designated part of a State, the people whereof shall then be in rebellion against the United States shall be then, thenceforward, and forever free; and the executive government of the United States, including the military and naval authority thereof, will recognize and maintain the freedom of such persons, and will do no act or acts to repress such persons, or any of them, in any efforts they may make for their actual freedom.That the executive will, on the first day of January aforesaid, by proclamation, designate the States, and part of States, if any, in which the people thereof respectively, shall then be in rebellion against the United States; and the fact that any State, or the people thereof shall, on that day be, in good faith represented in the Congress of the United States, by members chosen thereto, at elections wherein a majority of the qualified voters of such State shall have participated, shall, in the absence of strong countervailing testimony, be deemed conclusive evidence that such State and the people thereof, are not then in rebellion against the United States.That attention is hereby called to an Act of Congress entitled "An Act to make an additional Article of War" approved March 13, 1862, and which act is in the words and figure following:''Be it enacted by the Senate and House of Representatives of the United States of America in Congress assembled, That hereafter the following shall be promulgated as an additional article of war for the government of the army of the United States, and shall be obeyed and observed as such:Article . All officers or persons in the military or naval service of the United States are prohibited from employing any of the forces under their respective commands for the purpose of returning fugitives from service or labor, who may have escaped from any persons to whom such service or labor is claimed to be due, and any officer who shall be found guilty by a court-martial of violating this article shall be dismissed from the service.SEC. 2. And be it further enacted, That this act shall take effect from and after its passage."What was Lincoln's main reason for writing the Emancipation Proclamation? (4 points)To end plantation lifeTo arm black soldiersTo preserve the UnionTo punish slaveholders $7,700 net monthly income - What amount would you use for needs for the month? * PLZ HELP ME!!!!! NO LINKS!!!!!!!!!! Which statement describes tobacco? A. It is classified as an addictive drug. B. It decreases heart rate and blood pressure. C. There is a low risk of developing stroke. D. It causes the level of dopamine in the brain to decrease. HELP PLEASEI hear America singing Compare this poem with your vision of America today. Using supporting evidence, answer this question: How has America changed over time? Please help due soon!! Korra is carrying a bag of books that weighs 40 pounds. After picking up some books at school, the weight has increased by36%. How many pounds does the bag weigh now? PLEASE I don't understand how to do this, 50 Points for anyone who solves it!Check attachment below I have no questions. WHO WANTS TO PLAY PRODIGY????????? IF SO GO TO WORLD Aviatrix DO NOW: What is the difference betweeninformational writing and narrative? pls help I'm on testWhat is diction? (5 points) a)an author's word choice b)words that are inverted c)tone and syntax together d)formal language in poetry Property rights laws in the 1800s stated that women whowere married could own property.were married could not earn wages.worked had to give their pay to their husbands.were single could not work in factories. evaluate the variable expression 2n + 4 if n equals 3 Somone PLEASE answer this thanks!A movie complex is showing the same movie in three theaters. In theater A, 44 of the 80 seats are taken. In theater B, 42 seats are taken and 28 seats are empty. In theater C, 27 of the 90 seats are empty. Which theater has the greatest percent of its seats taken? Which theater has the greatest of its seats taken ? If x = 4-5, find the value of (x2+1/x2 ) JudaismUpon their return to Canaan, the Israelites organized their nation into...O A kingdom under one kingO An empire0 12 Tribes of IsraelO A Representative Democracy The amount of a radioactive isotope decays in half every year. The amount of the isotope can be modeled by f(x) = 346(one half)x and f(1) = 173. What does the 173 represent? what makes us the same?