Let event A = The student plays basketball.
Let event B = The student plays soccer.
What is P(AB)?
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
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Maya claims that 8n is the number of dots in figure n. Kiana claims that the number of dots in figure n is given by 4(n+1)
Consider the square arrangements below in relation to the girls' expressions, where n represents the figure number.
Determine whether Maya, Kiana or both girls are correct in their given expressions. Justify your response.
The evaluation of your response will be based on the following criteria.
Answer:
Answer:
Kaya's answer is correct.
Step-by-step explanation:
The number of dots in successive figures are
8, 16, 24.
So Kaya's solution 8n is correct.
When n = 1, first square = 8*1 = 8 dots
n = 2: second square = 8*2 = 16
n = 3, 3rd square = 8*3 = 24.
If I have interpreted Kianna's formula correctly
for n = 1, then the number of dots = 2(1+ 1)^2 - 2(1 - - 1)^2
= 0.
what is the y-intercept of the graph of the equation 3x+y=6
Answer:
Slope: − 3
y-intercept: ( 0 , 6 )
Step-by-step explanation:
Use the slope-intercept form y = m x + b to find the slope m and y-intercept b .
Item 11 You buy 2.6 pounds of apples and 1.475 pounds of peaches. You hand the cashier a $20 bill. How much change will you receive? You will receive $ change.
Answer:
$14.90625
Step-by-step explanation:
Using the conversion rate
$1 = 0.8 pounds
If you buy 2.6 pounds of apples and 1.475 pounds of peaches, the total cost of apple and peaches is expressed as:
= 2.6 pounds + 1.475 pounds
= 4.075 pounds
Convert to dollars
$1 = 0.8 pounds
$x = 4.075 pounds
cross multiply
0.8x = 4.075
x = 4.075/0.8
x = $5.09375
This means that the cost of the apple and peaches is $5.09375.
If you hand the cashier a $20 bill, the change that you will receive will be: $20 - $5.09375 = $14.90625
HELP PLEASE WILL GIVE BRAINLIEST!
Eve knits scarves for her online store. This week she has already knitted 9 scarves. There are 2 days left in the work week. She set a goal for herself to knit at least 17 scarves and at the most 19 scarves this week. Eve wants to know how many scarves she should knit each day to meet her goal.
Which inequality represents the given situation?
A.
17 ≤ 2x - 9 ≤ 19
B.
17 ≥ 2x + 9 ≥ 19
C.
17 ≤ 2x - 9 ≥ 19
D.
17 ≤ 2x + 9 ≤ 19
In the diagram, △ABC ~ △DEF. What is AC?
The image is of two similar right triangles ABC and DEF with right angles at B and E respectively. First one smaller in size and its base is 3. Base, altitude and hypotenuse of second one are 6, 8 and 10 respectively.
A. 4
B. 7.5
C. 5
D. 3
Answer:5
Step-by-step explanation: If you look at the base of both triangles, you'll notice that the smaller one has a base of 3, and the bigger one has a base of 6. The smaller triangle is half of the big one, therefore we can safely say that the hypothenuse of the smaller triangle is half of that of the larger one. Half of 10 is 5.
I had the same question on my homework.
Determine the slope of that line that pass through the points (5,2) (-6,8)
Answer:
The answer is
[tex] \huge - \frac{6}{11} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
From the question we have
[tex]m = \frac{8 - 2}{ - 6 - 5} = \frac{6}{ - 11} = - \frac{6}{11} \\ [/tex]
We have the final answer as
[tex] - \frac{6}{11} \\ [/tex]
Hope this helps you
Electron rescued 5 dogs and 3 cats this week.
If this happens every week for 6 weeks, how many animals
will Electron rescue?
Answer:
48
Step-by-step explanation:
5+3 multiplied by 6 weeks is 48
Find the value of x. PLEASE HELP - test tomorrow
The answer is 74.
I need to show my work.
THANK YOU!!!!!
Answer:
x = 74
Step-by-step explanation:
If you add all the angles in the diagram, you will get 360 degrees (since it's a complete revolution, and one revolution = 360 degrees).
Form an equation in x with this information:
4x+1+x-35+24 = 360
5x -10 = 360
5x = 370
x = 74
72 ounces in 6 steaks
Answer:
Each steak is 72/6 = 12 oz
Step-by-step explanation:
Unit rate = total ounces / total steaks:
72 ounces / 6 steaks = 12 ounces per steak
Unit rate = 12 ounces per steak.
Simplify this expression.
20.25 – 9 +11
-
o
18.75
21
O
40.75
Answer:
22.25
Step-by-step explanation:
there are no special things to be considered.
You can simplify the last two numbers. Because -9 +11 is the same as +2 you can see the answer:
20.25 + 2 = 22.25
Help? Someone please?!
Answer:
b, d,
Step-by-step explanation:
4 – 3x = 8 – 4x what is X
Answer:
x=4
Step-by-step explanation:
I hope this helps you
Look at the area models.
What is the product of the fractions represented by
these two area models?
Answer:
4/25
Step-by-step explanation:
find the inverse of f(x)=x^3-8
Answer:
Step-by-step explanation:
18,000 divided by 60
Answer:
Step-by-step explanation:
300
300
Simple
18,000/60 = 300
James types 90 words in 2 minutes. At this rate, how many words can james type in 15 minutes?
Answer:
Step-by-step explanation:
675 because its 45 words per minute x15 for the 15 minutes
Which is the simplified form of p0?
Answer: 1
Step-by-step explanation:
PLEASE HELP ME. Select Function or Not A Function.
Answer:
a and c are functions b is not
Step-by-step explanation:
a and c are both functions
while b, is not
[SREENSHOT ATTACHED]
Please helpp! :((
Each set of directions describes how to plot a point starting at the origin. Drag each set of directions to show what point would be plotted.
How do I solve for pie?
Convert 5/8 into a denominator of 100
U can use the cross multiplication to find out
5/8 = x/100
x=5/8 * 100
x= 62.5
Your final answer: 62.5/100
Hope this does it
P.S
Plz mark brainliest?
Samuel orders four DVDs from an online music store. Each DVD costs $10. He has 20% discount code, and sales tax is 8%. What is the total cost of his order?
Answer: calculator
Step-by-step explanation:
2.16$
help PLEASE LIKE ACC STEP BY STEP FIND X PLZ
Answer:
33
Step-by-step explanation:
The sum of interior angles in a rectangle is 360°
98 + 98 + 98 + 2x = 360
294 + 2x = 360
2x = 66°
x = 33
suppose you are buying two kinds of chips for a party. Each bag of potato chips cost $2.50 and each bag of corn chips cost $2.90. You must have at least 100 bags of chips for the party and the total cost of the chips can be no more than $350
Part A:Write a system of two inequalities that describe the situation
Part B: Write one possible solution to the problem in sentence form
Answer:
At least means ≥
No more than means ≤
Let x = number of bags of potato chips
Let y = the number of bags of corn chips
x+y≥100
2.50x+2.90y≤$350
Let's try x=80 and y=20 (We know that is equals 100 so it will work for the first equation
2.50(80)+2.90(20) = 258 which is ≤$350
Buy 80 bags of potato chips and 20 bags of corn chips is one possibility.
Hector cycled a total of 12 kilometers by making 4 trips to work. After 6 trips to work, how many kilometers will Hector have cycled in total? Solve using unit rates.
NOWWWW PLEASEEE!!!
Answer:
18km
Step-by-step explanation:
12km = 4 trips
express as a ratio.
3km : 1trip
then subsitute the amount of trips.
18km : 6trips
please help i don’t know how to find the slope
what is 1+3x when x=1
Answer:
4
Step-by-step explanation:
1+3*1
3*1=3
3+1=4
Answer:
the answer is 4
Step-by-step explanation:
you do 3 times 1 witch is 3 then add 1 also hears a tip always do multiplication and division first
The Bernards are trying to determine their babysitter's rates but are to embarrassed to just ask her. They were charged $20 for 2 hours last week, but only $31 for 4 hours this week. What is the formula to determine A(Amount) given t(time in hours)?
Answer:
A = 5.5t + 9
Step-by-step explanation:
We assume that the relationship between t and A is linear.
We have two points on a line: (2, 20) and (4, 31).
We now find the equation of the line.
A = mt + b
m = (31 - 20)/(4 - 2) = 11/2 = 5.5
20 = 5.5(2) + b
20 = 11 + b
b = 9
A = 5.5t + 9
What is 20 x 20 10 points it know
Answer:
400
Step-by-step explanation:
20*20 = 400
Answer:
20 x 20 is 400
Step-by-step explanation: