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?
======================================================
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 hwWith 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 = 4Now 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
How many solutions does this equation have?
a + 3 + 2a = -1+ 3a + 4
Answer:
Infinite
Step-by-step explanation:
Hope that this helps!
Answer:
Step-by-step explanation:
2 or 3 im not v sure tho
f(x) =
-(x – 6)2 +7 for x+3
for X = 3
Find f(3)
Answer:
lol it's right there
Step-by-step explanation:
I am not sure if you are what I call a ride or die cuz u a caring person and ant to be a recruiter I am good at persuading people to do stuff
find the volume of the composite solid figure
(picture provided of the shape)
Answer:
Road shimmer
Wiggling the vision
Heat heat waves
I'm swimming in a mirror
Road shimmer
Wiggling the vision
Heat heat waves
I'm swimming in a
Sometimes, all I think about is you
Late nights in the middle of June
Heat waves been faking me out
Can't make you happier now
Sometimes, all I think about is you
Late nights in the middle of June
Heat waves been faking me out
Can't make you happier now
Usually I put
Something on TV
So we never think
About you and me
But today I see
Our reflections
Clearly in Hollywood
Laying on the screen
You just need a better life than this
You need something I can never give
Fake water all across the road
It's gone now the night has come but
Sometimes, all I think about is you
Late nights in the middle of June
Heat waves been faking me out…
What is the degree of the following polynomial: . 3x3 + 2x - 4
Answer:
3
Step-by-step explanation:
look for the greatest exponent
Colette and Tycen made a quarts of lemonade to sell by the cup. Tycen's mother made 5 more cups of lemonade for them to sell. The
equation below can be used to find the number of cups of lemonade, c, they can sell when they make a quarts of lemonade.
C = 40 + 5
What is the greatest number of cups of lemonade Colette and Tycen can sell when q = 3?
Answer:
12 cups
Step-by-step explanation:
1 quart is 4 cups, so 4 x 3= 12 and 1 x 3 = 3.. Good Luck!
simplify 5x+ 1 2 +3y+ 1 4 +2x−2y
Answer:
7x + y + 26
Step-by-step explanation:
5x+ 1 2 +3y+ 1 4 +2x−2y
5x + 2x + 3y - 2y + 12 + 14
7x + y + 26
(d) Which athlete had a greater median distance?
A or b
Answer:
I think athlete B has the greater median distance
Need help with this question
In picture above
Answer:
Solution given:
Cos -θ:[tex]\frac{\sqrt{3}}{4}[/tex]
since cos -θ=Cos θ
Cos θ :[tex] \frac{\sqrt{3}}{4} [/tex]
[tex]\frac{\sqrt{b}}{h} [/tex]=:[tex] \frac{\sqrt{3}}{4} [/tex]
b=[tex]\sqrt{3} [/tex]
h=4
p=[tex] \sqrt{4²-(\sqrt{3})²} [/tex]=[tex] \sqrt{13}[/tex]
So
Sin θ=[tex]\frac{p}{h} [/tex]=[tex]\frac{\sqrt{13}}{4} [/tex]
So third one is a required answer.
Which fraction is equivalent to 3
Determine whether the relationship is an inverse variation or not. Explain.
A.The product xy is constant, so the relationship is an inverse variation.
B.The product xy is not constant, so the relationship is an inverse variation.
C.The product xy is not constant, so the relationship is not an inverse variation.
D.The product xy is constant, so the relationship is not an inverse variation.
The product xy is constant, so the relationship is an inverse variation. Thus, the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The table is given as,
x y xy
2 630 1,260
3 420 1,260
5 252 1,260
The product xy is constant, so the relationship is an inverse variation. Thus, the correct option is A.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Which side lengths form a right triangle? please help
In a right triangle, the side that is opposite of the 90° angle is the longest side of the triangle, and is called the hypotenuse. The sides of a right triangle are commonly referred to with the variables a, b, and c, where c is the hypotenuse and a and b are the lengths of the shorter sides.
Can someone please help me with math.
Answer:
b
Step-by-step explanation:
Kerry wants to give each student in her class
of a small pizza for lunch. There are 30 students in her class.
How many whole pizzas does she need to buy for her class?
O A. 15
OB. 20
OC. 30
O D. 60
Answer:
I believe the answer is (A) 15.
Step-by-step explanation:
If she buys 15 pizzas and gives each student half a pizza, then that would be 30 halves. Meaning she needs to buy 15.
what 12+9
A 99
B 4
C 0
Answer:
d 21xysxhducux6cyvivivi
what is the answer the file at the bottom
Answer:
the first one is three and the second one is 12
Before ordering numbers, what from would you need to make them all into
Answer:
To order the numbers, start with the lowest (first) and work your way up (last). This is referred to as "Ascending Order." Consider climbing a mountain.
Find the scale factor of the similar shapes below.
Answer:
x=12 and the scale factor is 1.5
Step-by-step explanation:
From D' to F' is 7.5 and from D to F is 5cm the difference is 2.5. From F' to E' is x and from F to E is 8. This is just understanding what you can see. You find x by figuring out the ratio from 5 to 7.5 is and 8 to x or vise versa. It depends which way you are going. I think you are going from E,D,F to E',D',F'. So from 5cm to 7.5 cm. This is 1.5 because you are dividing 7.5/5. If you needed to find x, it would be 12.
HII CAN YOU HELP PLEASE??
Answer:
Step-by-step explanation:
1. x = 105
2.x = 35
Use the equation below to find c, if a = 43 and b = 49. c=180-a-) ?
Answer:
88
Step-by-step explanation:
43 + 49= 92.
Then 180 - 92= 88
C= 88
This figure is made up of a triangle and a semicircle.
What is the area of the figure?
Use 3.14 for π .
Enter your answer, as a decimal, in the box.
units²
A composite figure made up of a triangle with vertices at negative 1 comma 1, 4 comma 5, and 7 comma 1 and a semicircle below the triangle such that the diameter extends from negative 1 comma 1 to 7 comma 1.
Answer:
16.28
Step-by-step explanation:
60 yd
63 yd
What is the length of the hypotenuse?
What is the common ratio?
5, -10, 20, -40, 80
What is the 15th term of the sequence?
Step-by-step explanation:
Use the above formula
-5 is the difference between the numbers..
hope you understood..
What is the distance between (0, 0) and (0, - 9) on the vertical line
Answer:
Step-by-step explanation:
what
Answer: 22
Step-by-step explanation:
Carla and Deserea bought a dozen cookies from the bakery. Carla ate ¼ of the cookies and Deserea ate ½ of the cookies. Who ate the most
Answer:
The answer is Deserea.
Step-by-step explanation:
Dont worry, this is simple :)
If you have a dozen cookies, that means you have 12 cookies!
And 1/4 of 12 is simply 12 divided by 4, which equeals 3, so Carla ate 3 cookies.
And Deserea ate ½ of the cookies, which is 12 divided by 2, which is 6! So Deserea ate 6 cookies.
6 is greater than 3. So Deserea ate more Cookies!
Hope this helps!
A parent increases a child’s monthly allowance by 20% each year. If the allowance is $8per month now, in about how many years will it take to reach $20 per month
Answer:
6 years
Step-by-step explanation:
is the answer
In the data set shown below, what is the value of the quartiles?
{56, 58, 64, 68, 72, 75, 78}
A. Q1 = 58; Q2 = 68; Q3 = 73.5
B. Q1 = 61; Q2 = 68; Q3 = 73.5
C. Q1 = 75; Q2 = 68; Q3 = 58
D. Q1 = 58; Q2 = 68; Q3 = 75
Answer:
its either b or d not 100% sure though so im sorry if im wrong
An outboard motor on a boat has a cord to pull to start it. Advertisements boast that the motor "Starts on the first pull, every time!” In reality, the motor has a 95% chance of starting on each pull. A customer wants to know how many times he will have to pull the cord to start the motor.
Is it appropriate to use the geometric distribution to calculate probabilities in this situation?
Yes, the geometric distribution is appropriate.
No, since each trial is not independent of the other trials.
No, because it is not looking for the first occurrence of success.
No, since the probability of success is not the same for each of the trials.
Answer:
b i think.
Step-by-step explanation:
Answer: A. Yes the geometric distribution is appropriate
Step-by-step explanation:
got it right on edge
In at least five (5) sentences, explain the effects of changing the “m" and the "b" in y=mx+b.
What happens when we use negative numbers for m? What happens when we use negative
numbers for b?
List a positive and negative number whose absolute value is greater than 3?
Answer: |5|, |-6|, |4|, |-3.5|
Step-by-step explanation: The absolute value is related with the distance between the number and the zero of the number line, then each number greater than 3 will have an absolute value greater than 3, as we can see in the picture, the numbers positive or negative will have a positive distance to the origin of the number line.