Answer:
In a certain Algebra 2 class of 30 students, 22 of them play basketball and 18 of them play baseball. There are 3 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
I know how to calculate the probability of students play both basketball and baseball which is 1330 because 22+18+3=43 and 43−30 will give you the number of students plays both sports.
But how would you find the probability using the formula P(A∩B)=P(A)×p(B)?
Thank you for all of the help.
That formula only works if events A (play basketball) and B (play baseball) are independent, but they are not in this case, since out of the 18 players that play baseball, 13 play basketball, and hence P(A|B)=1318<2230=P(A) (in other words: one who plays basketball is less likely to play basketball as well in comparison to someone who does not play baseball, i.e. playing baseball and playing basketball are negatively (or inversely) correlated)
So: the two events are not independent, and so that formula doesn't work.
Fortunately, a formula that does work (always!) is:
P(A∪B)=P(A)+P(B)−P(A∩B)
Hence:
P(A∩B)=P(A)+P(B)−P(A∪B)=2230+1830−2730=1330
Answer:
3(12-p)
Step-by-step explanation:
Answer:
I think
if angle 3=128
then angle 5=128 too because 3 and 5 are alternate interior angles
m8=180-128(linear pair)
=52°
hope it helps ❤️❤️
James must mix 60 millilitres of 10% solution and 40 millilitres of 50% solution.
Given that, James needs to mix a 10% acid solution with a 50% acid solution to create 100 millilitres of a 26% solution.
Let the acid solution needs to mix with 10% be <em>x</em> ml and the acid solution needs to mix with 50% will be 100 - <em>x</em> ml.
Now,
10% x + 50% ( 100 - <em>x</em> ) = 26% ×100
⇒
⇒10<em>x</em> + 50( 100 - <em>x</em> ) = 2600
⇒10 <em>x</em> + 5000 - 50<em>x</em> = 2600
⇒10 <em>x</em> - 50 <em>x</em> = 2600-5000
⇒-40 <em>x</em> = -2400
⇒<em>x</em>=60
Therefore, James must mix 60 millilitres of 10% solution and 40 millilitres of 50% solution.
To learn more about the percentage visit:
brainly.com/question/13450942.
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<u>Answer</u>
24 square units
<u>Explanation</u>
The formula for getting the area of a trapezium is
Area = 1/2 h(a+b0
where h ⇒ perpendicular height
a and b ⇒ length of the parallel sides.
h = 2 - -2 = 4 units
a = 5 - -3 = 8 units
b = 3 - -1 = 4 units
Area = 1/2 × 4(8+4)
= 2×12
= 24 square units.
