In a math class with 19 students, a test was given the same day that an assignment
was due. There were 12 students who passed the test and 13 students who completed
the assignment. There were 4 students who failed the test and also did not complete
the assignment. What is the probability that a student completed the homework given
that they passed the test?

Answers

Answer 1
Answer:  5/6

======================================================

Work Shown:

A = number who passed test, and did the hwB = number who passed test, but didn't do the hwC = number who failed test, but did the hwD = number who failed test, and didn't do the hw

With a class total of 19, we know that A+B+C+D = 19.

12 students passed the test, which leaves 19-12 = 7 people who failed the test.

Of these 7 people who failed the test, 4 of them didn't do the hw. This leads to D = 4.

Note how C+D = 7 becomes C+4 = 7 and it solves to C = 3.

Since 13 people did the hw, we can say A+C = 13. Plug in that value of C we found earlier, to find that A = 10.

Lastly, solving A+B = 12 leads to B = 2.

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

To summarize what we found so far:

A = 10B = 2C = 3D = 4

Now onto the question your teacher is asking: "What is the probability that a student completed the homework given that they passed the test?"

The key phrase here is "given that they passed the test". Because of this phrase, we'll ignore anyone who didn't pass. We'll focus solely on the 12 students who passed. Of those 12 who passed, we found that A = 10 people did the hw.

Therefore, the probability of picking someone who did the hw, given the passed the test, is 10/12 = 5/6


Related Questions


Which expression is equivalent to (1.009 1/12) 12t?

A. 1.000712t
B. 1.007512t C.1.009012t
D 1.113512t

Answers

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Which alternative is the NEGATIVE reciprocal of -4?*
A. - 4
B. -1/4
C. 1/4
D.4

Answers

A. It’s asking for the negative, the reciprocal, is always the same number, just sometimes positive or negative, it would be A since it’s asking for the NEGATIVE reciprocal! Hope this helps.

I need help plz this is hard

Answers

Answer:

(1,3)(5,-5)(3,-1)

Step-by-step explanation:

Let A = 2x + 5 and B = x2 - 4x – 1
Find A - B
PLEASE HELP

Answers

A - B equals x-4


First, combine your like terms, 2x, 2x, and -4x, which equals to 0x or x. Then, you add the regular numbers together, +5 and -1, which equals to 4. Now that we have our numbers, our full answer will be x-4.

Type the missing number in this sequence: 90, 78, 72, 66, 60, 54​

Answers

Answer:

48

Step-by-step explanation:

minus 6 every number

Solve for an angle in right triangles

Answers

Answer:

26°

Step-by-step explanation:

use the inverse trig functions (in this case, sin^-1)

sin^-1(4/9)

Answer:

26.39

Step-by-step explanation:

khan

What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase of 10°C?

Answers

Answer: [tex]50^{\circ}F[/tex]

Step-by-step explanation:

Given

Temperature increase is [tex]10^{\circ}C[/tex]

We know, conversion scale of Celcius to Fahrenheit is  

[tex]0^{\circ}C\times \dfrac{9}{5}+32=32^{\circ}F[/tex]

for [tex]10^{\circ}C[/tex], it is

[tex]\Rightarrow 10\times \dfrac{9}{5}+32\\\\\Rightarrow 18+32=50^{\circ}F[/tex]

It is equivalent to [tex]50^{\circ}F[/tex]

A cyclist cycles a distance of 45 miles in a time of 3 hours.
What is her average speed?

Answers

The cyclists average speed would be 15 miles an hour

ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!!

Answers

Answer:  Slope: -1/2  

Step-by-step explanation:  To find slope take 2 points that lie on the line and use this formula to solve:   I will use (0, -2) and (2, -3) to solve

                                                                       ↑    ↑           ↑   ↑

y2 - y1                                                             x1  y1          x2  y2

-----------

x2 - x1

So, for this question, substitute the x and y values from the points above to solve.

-3 - (-2)      

----------- =  - 1/2

2 - 0

Hope this helped. :)

 

Which of the following poems have to rhyme?

Sonnet
Limerick
Haiku
Cinquain

Answers

Limerick pretty sure

Answer:

a

Step-by-step explanation:

PLEASE HELP ME IT' S FOR TODAY!!!​

Answers

Answer:

x=55

Step-by-step explanation:

125+125=250

250+2x=360

2x=110

x=55

Answer:

55

Step-by-step explanation:

There are many ways to solve this problem; however, I used the one I believe to be the fastest and easiest, but you can still use a different way.

I solved this by using the fact that the green angle (m<125) and the red angle (x) make a straight line. All straight lines equal 180 degrees; therefore, this line must equal 125+x=180. Then, you can subtract 125 from both sides of the equation. That leaves x=55.

I NEED THE ANSWER IN THE NEXT MINUTE

Answers

Step-by-step explanation:

the area of a circle: pi r^2

area of a rectangle: L x W

so youd write and solve 12 x 12 - pi (12/2)^2


[tex] \sqrt{25} + \sqrt{16} = [/tex]
Tell me what the answer is

Answers

Answer:

The answer is 9

Step-by-step explanation:

√25 = 5

√16 = 4

Now,

√25 + √16

5 + 4 = 9

Thus, The answer is 9

-TheUnknownScientist

Answer:

9

Step-by-step explanation:

First step is to simplify the radicals

√25=5

√16=4

5+4=9

PLS HELP I WILL GIVE OUT BRAINILEST!!!!!

Answers

Yes it’s proportional and 100 boxes in 4 minutes

В.
Julie is making a banner shaped like a
parallelogram with a base of 8. feet and
a height of 6 feet. How many square feet
of material will Julie need for the banner?

Answers

Answer: 3 Aheught of 6 feet

how to find area of a square room if it's length is 5cm​

Answers

Answer:

150 cm²

Step-by-step explanation:

Since the room is square, assuming that it is a cube, the area will be 6s², where s is the side length.

Given a side length of 5cm, the area is

6(5)² = 6cm × 25cm = 150cm²

10
2 of 10
Find the area of a circle with radius,
r
= 5.59m.
Give your answer rounded to 2 DP.

Answers

Answer:

area = 98.12 m²

Step-by-step explanation:

area = πr² = (3.14)(5.59²) = 98.12 m²


Which of the following do not represent the measures of the sides of a triangle?
A)57, 80, 24
B) 43, 133, 89
C) 5, 6, 7
D 20, 20, 30

Answers

Answer:     B) 43, 133, 89

===========================================================

Explanation:

For this answer choice, we have p = 43, q = 133, and r = 89. Note how p+r = 43+89 = 132, which is not larger than the third remaining side q = 133. Therefore, p+r > q is false and a triangle cannot be formed.

A triangle is only possible if and only if adding any two sides leads to a sum larger than the third side (triangle inequality theorem).

Put another way, we must have these three conditions hold true for a triangle to form:

p+q > rp+r > qq+r > p

If any of those three are false, then we cannot make a triangle with side lengths p,q,r

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

Let's go over choice C for an example in which we can form a triangle

p = 5, q = 6, r = 7

We can see that,

p+q = 5+6 = 11 which is greater than r = 7. So p+q > r is true.p+r = 5+7 = 12 which is greater than q = 6. So p+r > q is true.q+r = 6+7 = 13 which is greater than p = 5. So q+r > p is true.

All three conditions are true, and therefore we have a triangle that is possible with side lengths p = 5, q = 6, r = 7. I recommend cutting out slips of paper with these lengths to try it out yourself, so you have a real world example to play with. Choices A and D are a similar story to choice C, so we can rule out all three of these choices.

B is the answer to this question

A sphere with a radius of 6 pi.What is the surface area of the sphere 36Pi3 square units 114Pi2 square units 144Pi3 square units 576Pi4 square units

Answers

Answer:

6×36=216.I hope the answer is correct. I will be happy when I get 5 points

Answer:

Step-by-step explanation:

Help me pls pls pls pls

Answers

The answer is 2 and one sixth. 2 1/6

Find the value of x in the following diagram.

Answers

Answer:

x = 3.5

Step-by-step explanation:

By definition, congruent chords are equidistant from the center of a circle. We are given two congruent chords and their distances(the lines perpendicular), meaning those distances must be equal. We set set up an equation to model the situation:

x + 8 = 3x + 1

8 = 2x + 1

2x = 7

x = 3.5

find the quotient:

1 divided by 13/7

Answers

Answer:

7/13

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

we have to multiply 1 by the reciprocal of 13/7

1 x 7/13 = 7/13

becuase a number multiply by 1 gives as result the number itself

Rewrite the function by completing the square.
f(x) = x2 – 2x – 95

Answers

f(x) = x^2 - 2x - 95
solving by completing the square: f(x) = ( x - 1 ) ^2 - 96,

Can you help me how to do it

Tell me the answer in the equation

Answers

I can’t see the picture of the question

Anyone know how to do this?? I need help plss!!! Tyyy!!

Answers

the function has a y-intercept of (0,8) . and the function has a x-intercept of (2,0) . the function also has a x intercept of 4,0

Step-by-step explanation:

f(x) is basically just Y , so this is a table showing x and y coordinates. when x = 0 , it's a y intercept and when f(x) or Y = 0 , it's a x intercept !

Help please!! Quickly!!

The length of a dog run is twice its width. Its area is 50 square yards.
Find the length and width of the dog run.

Answers

Answer:

Length = 10 yards Width = 5 yards

Step-by-step explanation:

2w x w = 50 yards²

2w² = 50 yards²

2w²/2 = 50 yards² / 2

[tex]\sqrt{w^{2} }[/tex] = [tex]\sqrt 25 yards^{2}[/tex]

w = 5

Area = l x w

= 10 x 5 = 50

length = 2w

width = w

length = 2(5)

length = 10 yards

Solve by using substitution.

=3−8

=−4

Answers

Answer:

I'm going to assume that you meant y=3x-8 and y=-4

This means that you would substitute -4 into the spot of y which gives you -4=3x-8. Once solved you would receive x=4/3.

Hope I helped have a nice day :)

please help me out with this problem. will give thanks!

Answers

Answer:

It is an isosceles  triangle.

Step-by-step explanation:

sum of angles of triangle = 180

since it is isosceles two angles will be same. let it be x.

x + x + 22 = 180

2x = 180 - 22

2x = 158

x = 79°

HELP WILL GIVE BRAINLIEST

Which is equivalent to the expression -8i^2 + 3

A. -5
B. 11
C. 3 - 8i
D. 3 + 8i

Answers

Answer:

ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Step-by-step explanation:ccccccccccccccccccccccccccccccccccccc

ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

How many different meal combinations can she make in all

Answers

I think it would be D.36
Other Questions
Four classmates collect data by conducting a poll. Theyask students chosen at random how many days a weekthey ride the bus to school. Savannah interviews 18 students. Logan Interviews 56 students..Hailey Interviews 24 students. James interviews 32 students.Whose results are probably the most trustworthy?O A. Logan'sB. Hailey'sO C. Savannah'sO D. James's the castle system was used for what purpose How did the Hoover Dam help the people of Arizona? Please solve and hurry What was the main event in the article? Was the main event helpful or harmful to society? Why was President John F. Kennedy determined to win the Space Race? A. Function A is linear and Function B is exponential. B. Function A is exponential and Function B is linear. C. Both functions are linear. D. Both functions are exponential. What is the probability of rolling a 1 or 2 when a six-sided die is rolled 700 times. Round your answer to the nearest whole number. In 1832, the US Supreme Court heard the case of Worcester v. Georgia , which involved Native American nations. In this case, the Supreme Court A: Upheld the sovereignty of tribal governmentsB: defended the authority of state governmentsC: Ruled that states and tribal governments have concurrent powers (will mark brainliest please help The school's computer lab goes through 3 reams of printer paper every 4 weeks. Find out how long 5 cases of printer paper is likely to last (a case of paper holds 8 reamsThe 5 cases will last weeks(Round to the nearest whole number as needed. Complete the sentence.A beta version of software is released during the _______ phase of software development.TesetingReleaseCodingDesign Find U of trapezoid TUVS ANSWER PLS............................. Estimate the sum by rounding each numberto the nearest hundredth: 0.052 +0.028A 0.06B 0.080.09D 0.07 What does an equal sign mean mathematically? In the sentences below, the underlined words share the same general meaning: "unafraid." Which underlined word has the most strongly positive connotations? El racismo es la ideologa que defiende la superioridad de una raza frente a los dems verdadero o falso PLEASE HELP I NEED TO GRADUATE!!!!!!Drag each title to the correct location.Match the mortgage types with their descriptions. Levi's homework is to write a report. He decides to write about his aquarium. He wants to tell readers how to set up an aquarium.How should Levi organize his report?.by describing the aquarium in detail .by comparing and contrasting the aquarium .by explaining problems and giving solutions