In a recent survey in a Statistics class, it was determined that only 60% of the students attend class on Fridays. From past data it was noted that 98% of those who went to class on Fridays pass the course, while only 20% of those who did not go to class on Fridays passed the course.
a. What percentage of students is expected to pass the course?
b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

Answers

Answer 1

Answer:

a. 66.8%

b. 0.855

Step-by-step explanation:

In a recent survey in a Statistics class,

Percentage of students that attended class on Friday = 60%

Percentage of students that did not attend class on Friday = 100 - 60% = 40%

Percentage of those who went to class on Fridays and passed the course = 98%

Percentage of those who did not go to class on Fridays and passed the course = 20%

a. What percentage of students is expected to pass the course?

This is calculated as:

= 60% × 98% + 40% × 20%

= 0.668

Converting to percentage

= 0.668 × 100

= 66.8%

b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

We solve using Baye's Theorem

= [60 × 98%]/[60% × 98% + 40% × 20%]

= 0.588 /0.688

= 0.8546511628

Approximately = 0.855

Answer 2

Part(a): The required pass percentage is 66.8%

Part(b) The required probability is [tex]P(Friday/Pass)=0.8802[/tex]

Given that,

P(Friday) = 0.60, P(No Friday) = 0.40

[tex]P(Pass/Friday)=0.98\\P(Pass/No Friday)=0.98\\[/tex]

Part(a): The percentage of students expected to pass the course is 0.668.

[tex]P(Pass)=P(Friday)\times P(Pass/Friday)+P(No friday)\times P(Pass/No Friday)\\=0.60\times 0.98+0.40\times 0.20\\=0.588+0.08\\P(Pass)=0.668[/tex]

Part(b):

The probability that he/she attended classes on Fridays is 0.8802

[tex]P(Friday/Pass)=\frac{P(friday)\times P(Pass/Friday)}{P(Friday\times P(pass/Friday+P(No friday)\times P(pass/No friday)}\\=\frac{0.60\times 0.98}{0.60\times 0.98+0.40\times 0.20} \\=0.8802[/tex]

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Related Questions

HELP MEEEEE this is so harddd. the picture is above.

Answers

Answer:

A)

Step-by-step explanation:

V=1/3([tex]\pi[/tex]r²)h

3* V=1/3(πr²h)*3 to get rid of the 1/3 on that side

3V/(πr²)=(πr²)h/(πr²) to get rid of the πr² on the other side(they cancel out)

3V/(πr²)=h is the final answer so that matches A

Samples G and H were selected from the same population of quantitative data and the mean of each sample was determined. The mean of sample G is equal to the mean of the population. Which of the following statements must be true?

I. The mean of sample H must also be equal to the population mean.
II. The mean of sample G, TG, is a point estimator for the mean of the population.
III. The mean of sample H, my, is a point estimator for the mean of the population.

a. I only
b. II only
c. III only
d. I and II
e. II and III

Answers

Answer: e. II and III

II. The mean of sample G, TG, is a point estimator for the mean of the population.

III. The mean of sample H, my, is a point estimator for the mean of the population.

Step-by-step explanation:

The point estimate simply means deriving a single value from a sample which could be used as a good or close estimate of the population from which the sample was drawn. A point estimator for the mean in the scenario above means a best guess of the mean value of the population from the sample mean.

Hence, since both sample G and H are drawn from the same population, both TG and TH which are mean of sample G and H can be used as a point estimator for the mean of the population.

However, it is does not necessarily mean that either the sample mean TG or TH must be equal to the population mean

A 5x5 table is filled with numbers (one number per cell). It is known that the product of 5 numbers in each column is negative. Is it possible that the product in each row is positive?

Answers

Answer:

Yes

Step-by-step explanation:

A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.

What is the value of x in the equation below?
3(12x-24) = 16
A) 2
B) 6
C) 8
D) 10



ANSWER: B) 6

Answers

Answer:

3(12x - 24) = 16 (use the distributive property)

36x - 72 = 16  (add 72 to both sides to get the x-term alone)

36x = 88 (divide both sides by 36 to isolate x)

x = 2.4 (the four is repeating. that's the exact answer.)

I would say the answer is A because 2.4 is close to 2 than any of the other answers.

Step-by-step explanation:

I hope this helps :))

It was John's birthday, 1/2 of his cupcakes were choco lava, the other half was strawberry. There were 10 strawberry cupcakes. Rick ate 2/4 of choco lava cupcakes. Steward ate 1/10 of the strawberry How much did Rick and Steward eat?

Answers

If there were 10 strawberry cupcakes then chocolate would have the same number as 10= 1/2. Then 2/4 can be simplified to 1/2 meaning that Rick are 1/2 of 10 and 1/10 is just one out of the 10 strawberry cupcakes.

Rick ate 5 Chocolate Cupcakes

Steward are 1 Strawberry Cupcake

Answer:

6 cupcakes or 6/10 or 3/5

Step-by-step explanation:

Wanna help a girl out

Answers

Answer: 3580.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

$80.5 is the right answer.

We divide 3500 by 100 and then multiply the answer to 2.3 this my answer credits to WritingRaccoon

15-a=20 what value would make this true

Answers

Answer:

a = -5

Step-by-step explanation:

15 - a = 20

Move the constant of 15 to the other side by subtracting it.

-a = 5

Divide by -1 to make a positive.

a = -5

Check.

15 - (-5) = 20

15 + 5 = 20

20 = 20

Answer:

-5

Step-by-step explanation:

15-(-5)=20

5 turns into a positive

15+5=20

The density of silver is 10.49g/cm3. If a sample of pure silver has a volume of 12.993cm3, what is the mass?

Answers

Answer:

d X v = m

12.993 X 10.49 = 136.29657

Find the value of x.

Answers

Answer:

12

Step-by-step explanation:

The two unknown values of the triangle have to be the same.

Subtract 28 from 180 and you get 152

So each angle will be 76.

So now, 76 = -8 + 7x

Simplify and 84 = 7x

Now, x is equal to 12

Hope this helped! Please mark me as brainliest if you can!

The truck costs $ 9,068 including a 19% port tax. If the selling price is reduced by 20%. Find out the new car price before tax is added.​

Answers

Answer:

$ 6096

Step-by-step explanation:

Let the cost of truck = x

x+19% of x = 9068

x + 0.19x = 9068

1.19 x = 9068

      [tex]x = \frac{9068}{1.19}[/tex]

    x = 7620.17

Reduction = 20% of 7620.17

                 = 0.20 * 7620.17

                 = $ 1524.03

New price = 7620.17 -  1524.03

                  = $ 6096.14

Easy math (17 points))

Answers

Answer:

A-8.25  B-43.2 C-248.5

Step-by-step explanation:

Answer:

A-8.25

B-43.2

C-248.5

Step-by-step explanation:

A dealership pays $580 for each electronic unit and sells it for $940. What is the percent markup in the price of each unit

Answers

Answer:

62.06%

Step-by-step explanation:

Given that,

CP of an electronic unit = $580

SP of an electronic unit = $940

We need to find the percent markup in the price of each unit. It can be done as follows :

[tex]\%=\dfrac{940-580}{580}\times 100\\\\=62.06\%[/tex]

So, the required answer is 62.06%.

Riley doesn't want to wait that long before purchasing the refrigerator, so she decides to consider using
credit. After speaking with a store clerk, Riley learns that she qualifies for a special payment plan the
store offers. Why should Riley should consider the amount of interest associated with the payment
plan?

A. Interest decreased the cost of the new refrigerator
C.interest determines the amount of taxes Riley will Pat when she purchases the refrigerator
D.interest is the cost for borrowing money

70points!!!

Answers

Answer:

D.

Step-by-step explanation:

D is the best answer since you didn't provide a B. It's the one that makes the most sense.

Answer: I'm pretty sure it's C

Step-by-step explanation:

Most interest income is taxable as ordinary income on your federal tax return

Please only 10% of people are smart to answer this

Answers

Answer:

it's the one highlighted in orange

Step-by-step explanation:

I hope this helps with your question :)

Which of the following will result in a rational answer?
O multiplying by a fraction
O adding the square root of a non perfect square to a whole number
O adding the square root of a perfect square tox
O multiplying a fraction by a repeating decimal.

Answers

I think it is going to be number 4

Ajar of jelly beans contain 7 green, 6 white, 11 purple, 9 red and 12 yellow beans. What is the probability of selecting a purple or red jelly bean?
Round your answer to the nearest thousandth. For example: 0.500 or 0.999

Answers

Answer:

The answer to the question provided is 0.444.

Solve the question below, please

Answers

Answer:

x = 133.33°

Step-by-step explanation:

The Law of Cosines

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

[tex]c^2=a^2+b^2-2ab\cos x[/tex]

Since we know the values of all three side lengths, we solve the equation for x:

[tex]\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}[/tex]

For the triangle in the figure: a=4.1, b=8.5, c=11.7, x=angle C. Applying the formula:

[tex]\displaystyle \cos x=\frac{4.1^2+8.5^2-11.7^2}{2*4.1*8.5}[/tex]

[tex]\displaystyle \cos x=\frac{-47.83}{69.7}[/tex]

[tex]\displaystyle \cos x=-0.6862[/tex]

[tex]x = \arccos (-0.6862)[/tex]

x = 133.33°

If our school store purchased 144 mittens last year, and this year we would like to purchase 30% more than last year. How many mittens do we need to order this year?

Answers

Answer: It would be 43 mittens

Step-by-step explanation:

Which method can be used to solve 11\times13?11×13?

Answers

Multiplication
But when multiplying a number by 11, you add both digits together and place it in between the numbers 1+3=4
11x13=143

The method that would be used to solve 11\times 13 is Multiplication So it would be: 11 x 13 which would equal to 143.

In math times means: Multiplication.

Need Answer Question Is In Photo.

Answers

Answer:

The correct answer would be bill

Step-by-step explanation:

Hope that's right! Hope it helps

Answer:

Chu

Step-by-step explanation:

[tex]\frac{x}{3}+4=7[/tex]    (subtract 4 from both sides (4-4 and 4-7)

[tex]\frac{x}{3}=3\\[/tex]            (multiply both sides by 3)

x=9

Find the distance d(P1,P2) between the given points P1 and P2 P1=(0,0) P2=(7,6)

Answers

Answer:

The distance of given two points

d( P₁, P₂)   [tex]= \sqrt{85}[/tex]   = 9.219

Step-by-step explanation:

Explanation:-

Given points are  p₁ ( 0,0)  and p₂ ( 7,6)

The distance formula of given points are

     d   =  [tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1})^{2} }[/tex]

     d  =    [tex]\sqrt{(7-0 )^{2} +(6 -0)^{2} } = \sqrt{49 +36}[/tex]

    d = [tex]\sqrt{85}[/tex]

   d  [tex]= \sqrt{85}[/tex]

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!

Answers

$4x-5$ is less than 25$

A ski are offers two vacation package plans. Plan A gives one person four nights lodging and three dinners for $467. Plan B gives one person five nights lodging and four dinners for $593. Assuming that the lodging and dinner costs per night are the same for both plans, how much does one dinner cost?

Answers

Answer:

$37

Step-by-step explanation:

Plan A: 4n + 3d = 467

Plan B: 5n + 4d = 593

4n + 3d = 467

4n = 467 - 3d

4n/4 = 467/4 - 3d/4

n = 116.75 - 3/4d

5n + 4d = 593

5(116.75 - 3/4d) + 4d = 593

583.75 - 3.75d + 4d = 593

0.25d = 593 - 583.75

0.25d = 9.25

0.25d/0.25 = 9.25/0.25

d = 37

find the surface area of the triangular prism help plzzz​

Answers

Answer:

790 m^2

Step-by-step explanation:

well in the figure we have to areas

the rectangle of the side (2)the triangle (2)the rectangle of the base (1)

the rectangle of the side

well the area of the rectangle is base times height

we have a base of 11 and a height of 17

[tex]A_{rs}=11*17\\\\A_{rs}=187[/tex]

the triangle

well the area of a triangle is base times height over 2

we have a base of 16 and a height of 15

[tex]A_t = \frac{16\cdot 15}{2}\\\\A_t= 8\cdot15\\\\A_t=120[/tex]

the rectangle of the base

we have a base of 16 and a height of 11

so

[tex]A_{rb} = 16\cdot 11\\\\A_{rb} = 176[/tex]

so the total area is

[tex]A_T = 2(A_{rs})+2(A_{t})+1(A_{rb})\\\\A_T= 2(187)+2(120)+1(176)\\\\A_T=374+240+176\\\\A_T = 790[/tex]

so that's our answer the surface area is 790 m^2

I. A rhombus is a special type of square. II. A rectangle is a special type of rhombus. III. A trapezoid is a special type of parallelogram. Which of the above statements are true? i only iii only iii only None of the above statements are true.

Answers

Answer: I. only

--------------------------------------------------------------------------------------------------------------

Explanation :

II. False. a rectangle is a special type of rhombus since a rhombus has all sides equal, while a rectangle has all angles equal. A rhombus has opposite angles equal, while a rectangle has opposite sides equal.  The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length.

I.  True. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.

III. False.  Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram. The correct answer is that all trapezoids are quadrilaterals.

HELP I’m being timed!!!

Answers

Answer:

b

Step-by-step explanation:

cause it is

Answer:

84

Step-by-step explanation:

im not sure tho

What is 8^6 ÷8 simplified ​

Answers

8^6 is actually 8×8×8×8×8×8.

So if you divide this by 8, you get 8^5 or 8×8×8×8×8

Well...

8×8×8×8×8=32768

_____Includes avoiding action,
avoiding blame, and avoiding
change
Select one
a. Ingratiation
b. Impression management
c. Defensive behaviour
d. Resource management

= Defensive behaviour ​

Answers

Step-by-step explanation:

defensive behaviour Includes avoiding action,

avoiding blame, and avoiding

change

60% of what number is 348?

Answers

Answer:

208

Step-by-step explanation:

this is what I did. 348×.6

60% of 580 is 348 is the answer you're looking for

If you divide .6 by 348 you get 580.

To check your answer, you can do .4 (40%) multiplied by 580 to get 232

232+348=250 which is 100%

find the scale factor from DEF to ABC

Answers

Answer:

³/2 (1.5)

Step-by-step explanation:

∆DEF was enlarged to get ∆ABC. The scale factor would be:

The ratio of any of the side length of ∆ABC to the corresponding side length of ∆DEF.

Thus,

BC:EF = 12:8

= 12/8

= 3/2 = 1.5

Scale factor from ∆DEF to ∆ABC is ³/2 or 1.5

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