Answer:
52
Step-by-step explanation:
140 - 13 = 127
127 - 75 = 52
Check your work:
75 + 13 + 52
= 140
Answer:
1047.12in³
Step-by-step explanation:
The volume of the sphere is:
V= 4/3 πr³
Where r is radius
Therefore the volume of each pinata is:
V= 4/3 x π x 5³
V= 523.6in³
The total:
V = 523.6 + 523.6 = 1047.12in³
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: 
Step-by-step explanation:
For this exercise you have to remember the Product of powers property, which states that:
Let be "x" the height in inches of a stack of
pennies.
You know that the thickness of 1 pennie is
, then, you can write the following proportion:

Solve for "x":

To express this height in Scientific notation the decimal point must be after the first digit, so you must move it one place to the left:
