Let event A = The student plays basketball.
Let event B = The student plays soccer.
What is P(AB)?
Answers
P(A|B) = 1/3
What is Venn diagram?
"A Venn diagram in mathematics is a diagram that uses overlapping circles or other shapes to represent the logical relationships between two or more sets of items. "
What is probability?"For any experiment, a probability denotes the possibility of outcome for any event."
The formula to calculate the probability of an event:For event A, the probability of event A is,
P(A) = number of favorable outcomes/ total umber of outcomes
What is conditional probability?"Conditional probability is the probability of an event occurring given that another event has already occurred."
The formula to calculate the conditional probability:P(A|B) = P(A∩B)÷P(B)
For given diagram:
Let A represents a set of students playing Basketball and B represents a set of students playing Soccer
So, A = {Fran, Ian, Juan, Ella}
⇒ n(A) = 4
B = {Mickey, Marcus, Ella}
⇒ n(B) = 3
(A ∩ B) = {Ella}
⇒ n(A ∩ B) = 1
sample space: S = {Fran, Ian, Juan, Ella, Mickey, Marcus, Mai, Karl, Jada, Gabby}
⇒ n(S) = 10
Now, we calculate probability of B and A∩B.
P(B) = n(B)/n(S)
⇒ P(B) = 3/10
Also, P(A∩B) = n(A∩B) / n(S)
⇒ P(A∩B) = 1/10
So, the required probability would be,
⇒ P(A|B) = P(A∩B) ÷ P(B)
⇒ P(A|B) = (1/10) ÷ (3/10)
⇒ P(A|B) = 1/3
Therefore, P(A|B) = 1/3
Learn more about probability here:
https://brainly.com/question/12478394
#SPJ2
Related Questions
Rebekah lives on a large, rectangular-shaped property that has a length 500 m and a width of 200 m. If it takes Rebekah 420 s to run the entire perimeter of her property, what is her average speed in meters per second rounded to the nearest hundredth?
Answers
Answer:
3.33m/s
Step-by-step explanation:
The perimeter of a rectangle is
= 2(L + W)
L = 500m
W = 200m
= 2(500 + 200)
= 2(700)
= 1400m
If it takes Rebekah 420 s to run the entire perimeter of her property.
Her average speed in meters per second rounded to the nearest hundredth is = Distance/Time
= 1400m/420s
= 3.3333333333 m/s
Approximately = 3.33m/s
The function is f(x) is shown in this graph. Compare the slopes.
Answers
Answer:I believe the slope is less
Step-by-step explanation:
1001
90
80
70
60
50
40
30
20
10
х
0
10 20 30 40 50 60
70 80 90 100
Answers
Answer:
1001
Step-by-step explanation:
Answer:
1001 (A)
Step-by-step explanation:
Which expression is equivalent to x−2y ?
Answers
Answer:
-2y+x
Step-by-step explanation:
x-2y
-2y+x
Answer:
x+2y+x+2
=2x+2y+2
=2(x+y+1)
Step-by-step explanation:
i hope its right
is so eassy 2 puls 2
Answers
Answer:
4
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
Allen's miniature train travels at a rate of 20 meters in 2 minutes. At this rate, how far will the train travel in 10 minutes? *
5 points
10 meters
20 meters
100 meters
200 meters
Is the following equation proportional? y = 6x + 2 *
5 points
Yes
No
(sorry its two questions)
Answers
Answer:
100 meters 20/5=100
Not sure about the second one
hope this helps
Step-by-step explanation:
Vicky reads at a constant rate. She can read 5 pages in 9 minutes write a linear equation in variables that represents the number of pages vicky reads in any given time interval
Answers
Answer:
5x=9 and that is the answer
A daycare charges $195 per week for each child that attends. There are 51 children that attend each week.
What is the best estimate for the total amount of money the daycare receives each week?
A. $5,000
B. $7,000
C. $10,000
D. $15,000
Answers
Answer:
c
Step-by-step explanation:
195 x 51 =9945
estimated = 10,000
195 x 51= 9945
So the estimated number is 10,000
Jack and Jill are saving for their first car. Jack saves $7 for
every $10 Jill saves. If Jill has $350 in her savings account,
then how much has Jack saved?
Answers
Answer:
Jack has saved $245.
Step-by-step explanation:
You divide $350 by $10, and you get 35. Then multiply Jack's $7 by 35 and you get $245!
Hope this has helped you! :)
Happy Halloween!~
what is 25 2/3 - 15 1/3 =
Answers
Answer:
10 1/3
Step-by-step explanation:
Convert mixed numbers into improper fractions (whole number × denominator + numerator)
25 2/3 and 15 1/3
25 × 3 + 2 = 75 + 2 = 77
Put the number over the same denominator
77/3
15 × 3 + 1 = 45 + 1 = 46
Put the number over the same denominator
46/3
77/3 - 46/3
They have common denominators so we can simply subtract the numerator values
77 - 46/3
31/3
To convert it back to a whole number, find how many times 3 fits into 31 evenly
It fits 10 times evenly with 1 remainding which looks like:
10 1/3
8v-34= 6(v-4)
Solve for v
Answers
Answer:
v=5
Step-by-step explanation:
HELP ME PLZ DUE SOON WILL GIVE BRAINLEST
What is the slope of the line that passes through the points (2, 1)(2,1) and (17, -17) ?(17,−17)?
Write your answer in simplest form.
Answers
Answer:
if I read it right and it is just asking for the slope then -1.2 should be the answer
Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6. Write and solve an equation to find the number, x.
What is the number?
plssssssssssssssss
Answers
(X + 5) * -2 = 6
X+ 5 = -3
X = -8
Can someone please help me asap I’ll mark brainlist!!!!!
Answers
Answer:
No because the aren’t equalll
Step-by-step explanation:
Is this ggod
Answer:
No
Step-by-step explanation:
32/4 = 8
72/10 = 7.2
A food store makes a 10-pound mixture of peanuts, cashews, and raisins. The mixture has twice as many peanuts as cashews. Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16. How much of each ingredient did the store use to make the mixture?
I know the equations are likely
X = Peanuts
Y = Cashews
Z = Raisins
X + 2Y + 2Z = 16
2Y = X
X + Y + Z = 10
Answers
Answer:
The number of pounds peanuts = x = 4 pounds
The number of pounds cashews = y = 2 pounds
The number of pounds raisins be equal to z = 4 pounds
Step-by-step explanation:
The number pounds of the mixture = 10
Let the number of pounds peanuts = x
Let the number of pounds cashews = y
Let the number of pounds raisins be equal to z
Hence,
x + y + z = 10
The mixture has twice as many peanuts as cashews.
2y= x
= 2y + y + z = 10
= 3y + z = 10
z = 10 - 3y
Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16.
x × $1 + y × $2 × z × $2 = $16
x + 2y + 2z = 16......Equation 2
We Substitute.(2y = x), (z = 10 - 3y)
2y + 2y + 2(10 - 3y) = 16
4y + 20 - 6y = 16
20 - 16 = 6y - 4y
4 = 2y
y = 4/2
y = 2 pounds
z = 10 - 3y
z = 10 - 3(2)
z = 10 - 6
z = 4 pounds
2y= x
2(2) = x
x = 4 pounds
How much of each ingredient did the store use to make the mixture?
The number of pounds peanuts = x = 4 pounds
The number of pounds cashews = y = 2 pounds
The number of pounds raisins be equal to z = 4 pounds
IF yall report 1 more time istg
Whats 2/3 x 1/5
Answers
Answer:
2/15
Step-by-step explanation:
2/3*1/5=2/15
Answer:
0.133
Step-by-step explanation:
how is a dilation different from other transformations?
Answers
what is the sum of zeros of the equation (m-10)(6m-1)=0. Ancwer your question as a fraction
PLSSS SOMEONE ANCWEE THISS BEGGINGG.
Answers
Answer:
The sum of zeros is [tex]\frac{61}{6}[/tex]
Step-by-step explanation:
The Rule of Zero Product
The rule of zero product states that the product of two nonzero elements is nonzero. It can be written as the following assertion:
If a.b=0, then a=0 or b=0
The equation
(m-10)(6m-1)=0
can be solved by applying the mentioned rule:
[tex]m-10=0 \ \ \Rightarrow m=10[/tex]
[tex]6m-1=0 \ \ \Rightarrow m=1/6[/tex]
The sum of both solutions is:
[tex]\displaystyle 10+\frac{1}{6}=\frac{61}{6}[/tex]
The sum of zeros is [tex]\mathbf{\frac{61}{6}}[/tex]
An ant has a mass of 0.005 gram. A small be has a mass of 0.05 gram. A grasshopper has a mass of 0.5 gram. How many ants would it take to equal the mass of 1 grasshopper.
Answers
Answer:
200 ants
Step-by-step explanation:
Im not really sure on this but i tried lbao
7. Write a 4 digit number that is divisible by 2, 3, and 6.
Answers
Answer:the answer is 9998.
Step-by-step explanation:
The largest 4 digit number divisible by 2 . The number should be divisible by 2 or multiple of it. So the largest 4 digit number is 9999 it is not divisible by 2 so the earlier number 9998 can be considered so as it is divisible by 2. It is the answer is 9998.
Answer:
1008 is the correct answer (i think)
Step-by-step explanation:
1008/2 is 504
1008/3 is 336
1008/6 is 168
hope this helps!
Convert the numbers to standard from 7.23x10^-10
Answers
Step-by-step explanation:
ok this is search from Google this is right or wrong
Question:
Convert the numbers to standard from 7.23 × 10^(-10)
Answer:
7.23 billionths or 0.000000000723
Explanation:
First, convert the standard form of 10^(-10) to 1 ÷ 10^(10). Thus, the standard operation would be:
7.23 ÷ 10^10 or 7.23 ÷ 10,000,000,000
Hence, you could write it in a reciprocal of a billion, which is a billionth. You could write it in the form of 7.23 billionths or just write it 0.000000000723.
Hopefully this answer helps you.
EXPLAIN HOW YOU GOT 3 AND 4 WITH STEPS PLS ITS URGENT
Answers
Answer:
2. x=25°
3. x=15°
4. x=26°
Step-by-step explanation:
For problem 2, we know the sum of the angles of a triangle is 180°. Also, supplementary angles are 180°.
30+20+x=180 [combine like terms]
50+x=180 [subtract both sides by 50]
x=130
Now that we have the missing angle, we can use that to solve for x.
2x+130=180 [subtract both sides by 130]
2x=50 [divide both sides by 2]
x=25°
Now, we know that x=25°.
For problem 3, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.
8x+25+2x+5=180 [combine like terms]
10x+30=180 [subtract both sides by 30]
10x=150 [divide both sides by 10]
x=15°
Now, we know that x=15°.
For problem 4, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.
x+12+52+90=180 [combine like terms]
x+154=180 [subtract both sides by 154]
x=26°
Now, we know that x=26°.
Answer:
3. x = 5 4. x = 26
Step-by-step explanation:
3.
(2x + 5) + 8x + 25 = 180
10x +30 = 180
10x = 150
x = 15
4.
52 + 90 + x+12 = 180
52 + 90 + 12 = 142
x + 142 = 180
x = 180 - 154
x = 26
Select the correct answer. Given: ∆ABC Prove: A midsegment of ∆ABC is parallel to a side of ∆ABC. Statement Reason 1. Define the vertices of ∆ABC to have unique points A(x1, y1), B(x2, y2), and C(x3, y3). given 2. Let D be the midpoint of and E be the midpoint of . defining midpoints 3. definition of midpoints 4. slope of slope of definition of slope 5. slope of = slope of Transitive Property of Equality 6. definition of parallel lines 7. Let F be the midpoint of . defining a midpoint 8. definition of midpoint 9. slope of slope of definition of slope 10. 11. definition of parallel lines 12. Similarly, is parallel to . steps similar to steps 1−11 What is the missing step in this proof? A. Statement: slope of = slope of Reason: definition of slope B. Statement: slope of = slope of Reason: Transitive Property of Equality C. Statement: DF = BC Reason: Corresponding sides of congruent triangles are congruent. D. Statement: ∆ADF ≅ ∆ABC Reason: ASA
Answers
Answer:
B) Statement: slope of df = slope of bc
Reason: Transitive Property of Equality
Step-by-step explanation: i just took the test.
Answer:
C. Transitive Property of Equality
Step-by-step explanation:
ix=5
3x+y
2x^{2}[/tex]
giving extra points cuz i need this questions to be answered ASAP please thanks :-)
Answers
Answer:
35
Step-by-step explanation:35
Giving brainliest hehehehe
Answers
Answer:
A
Step-by-step explanation:
quotient is answer to division problem
Answer: A.
Step-by-step explanation:
In the division model you divide to find the number of counters in each group. ... In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.
I hope this helps plz tell me if its wrong so i can fix it.
show your work
7(x-8)=2x-31
Answers
Answer:
x=5
Step-by-step explanation:
7 (x-8)=2x-31
Distribute the 7 to the x and -8 (basically multiple 7 with the x and -8)
7x-56=2x -31
Drag the 2x over to the other subtracting it from 7x.
7x-2x-56=-31
5x-56=-31
Drag the 56 to the other side and add it to -31
5x= -31+56 (or 56-31)
5x= 25
Divide 5x from 25 to get your X
x=25/5
x=5
Hope this helps!!
What is the distance between (2, 8) and (-7, 8)?
Answers
Answer:
9
Step-by-step explanation:
The distance between (2,8) and (-7,8) is 9
Answer:9
Step-by-step explanation:
Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down, what are the coordinates of the image?
Answers
Answer:
The coordinates of the image of point A are (-1, -6)
Step-by-step explanation:
Let us revise the rule of translation to the left, down, and reflection across the x-axis
If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)∵ The coordinates of point A are (3, 4)
∵ It is translated 4 units left
∴ h = 4
→ By using the 1st rule above
∴ Its image is (3 - 4, 4)
∴ Its image is (-1, 4)
∵ Its is reflected across the x-axis
→ By using the 3rd rule above change the sign of its y-coordinate
∴ The new image is (-1, -4)
∵ It is translated 2 units down
∴ k = 2
→ By using the 2nd rule above
∴ The final image is (-1, -4 - 2)
∴ The final image is (-1, -6)
∴ The coordinates of the image of point A are (-1, -6).
Franco read of a chapter of his history book in § of an hour. At this rate, how many chapters of his history book
can he read in 1 hour?
Answers
Answer:
1 7/8
Step-by-step explanation:
dont know lol but trust me
What is the equation for this line?
Answers
Answer:
The equation of the line is y = 2x - 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the line, [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept (value y at x = 0)Let us take two points on the line to find its equation
∵ Points (3, 3) and (0, -3) lie on the line
∴ x1 = 3 and y1 = 3
∴ x2 = 0 and y2 = -3
→ Use the rule of the slope above to find m
∵ [tex]m=\frac{-3-3}{0-3}=\frac{-6}{-3}=2[/tex]
∴ m = 2
→ Substitute its value in the form of the equation above
∴ y = 2x + b
∵ b is the value of y at x = 0
∵ y = -3 at x = 0
∴ b = -3
→ Substitute it in the equation above
∴ y = 2x + -3
→ Remember (+)(-) = (-)
∴ y = 2x - 3
∴ The equation of the line is y = 2x - 3