Answer:
25 in x 15 in
Step-by-step explanation:
Given:
- Length = 3/5 the width
- Area = 375 in²
Let width = 
Therefore, length = 3/5
First create an equation for the area of the picture based on the given information for its width and length:
We are told the area of the enlarged picture is 375 in². Therefore, substitute this into the equation and solve for to find the width of the enlarged picture:
Therefore, the width of the enlarged picture is 25 in.
Substitute the found value of into the expression for length to find the length of the enlarged picture:
Therefore, the dimensions of the enlarged picture are <u>25 in x 15 in</u>. The width is 25 in and the length is 15 in, as the length is 3/5 of the width.
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
42 divided by 5 is actually 8.4 however u cant have .4 of a rock so the answer is that each friend gets 8 rocks( including him)
Answer:
(d) -11
Step-by-step explanation:
Each of the functions is evaluated in the usual way: put the number where the variable is in the expression and simplify.
h(-1) = -2(-1)² -3(-1) +1 = -2 +3 +1 = 2
f(2) = (2(2) +7)/(2 -3) = 11/-1 = -11
Then f(h(-1)) is ...
f(h(-1)) = f(2) = -11
There are 3 sides to the 360 degree circle. This mean by dividing 360 by 120 = . This mean the answer would be 120 degrees per chunk of the circle. Hope this helps.
