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

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.

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:

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


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:

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:

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.

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]

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

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

Answers

Answer:j

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

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

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

Answers

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

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

question in screenshot

Answers

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

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

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:

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:

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:

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

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!

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]

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?

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 :)

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:

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!

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.

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

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

Answers

Answer:

4

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

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:

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]

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