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


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Answer:

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

Answer:

Step-by-step explanation:

Solve by using substitution.

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Answers

Answer:

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

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Hope I helped have a nice day :)

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

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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]

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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

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Let A = 2x + 5 and B = x2 - 4x – 1
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Answers

A - B equals x-4


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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

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Answers

Answer:

150 cm²

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

A

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

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                                                                       ↑    ↑           ↑   ↑

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

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Julie is making a banner shaped like a
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Answers

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Answers

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Answers

Answer:

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Answers

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10
2 of 10
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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:ccccccccccccccccccccccccccccccccccccc

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Step-by-step explanation:

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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.

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Answers

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Step-by-step explanation:

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Answers

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a

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Answers

Answer:

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Step-by-step explanation:

2w x w = 50 yards²

2w² = 50 yards²

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Answers

Answer:

The answer is 9

Step-by-step explanation:

√25 = 5

√16 = 4

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-TheUnknownScientist

Answer:

9

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First step is to simplify the radicals

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Answers

Answer:

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Step-by-step explanation:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

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