Answer: 0.27
The events are independent, so we can multiply the probabilities.
P(A n B) = P(A) * P(B)
P(A n B) = 0.3 * 0.9
P(A n B) = 0.27
note: The 'n' represents the "intersection symbol", aka "horseshoe" or "upside down U".
The intersection of two events is like asking when the two events will occur simultaneously. Example: If A represents the event "it rains" and B represents the event "a person won a contest" then P(A n B) represents the probability of it raining and the person winning the contest.
Answer:
y=-1/4x-6
Step-by-step explanation:
The problem wants the form y=mx+b where m is the slope and b is the y-intercept.
The y-intercept in this case is -6 (where the line intercepts the y-axis).
We can use points (0,-6) and (4,-7) to calculate the slope. We just divide the difference in y-values by the difference in x-values.
-6-(-7)/0-4=-6+7/-4=1/-4=-1/4
So the equation of the line is y=-1/4x-6
Answer:
option A
Step-by-step explanation:
since the given triangle is an isosceles triangle it's two remaining sides are equal
let the length of missing side be x
using pythagoras theorem
a^2 + b^2 = c^2
x^2 + x^2 = 22^2
2x^2 = 484
x^2 = 484/2
x =
x =
First, set up a proportion. 10.3% is the percentage of students who cancelled, but the question is asking for the students who are attending, so let’s use 89.7% to make it easier. The proportion would be x over 58 is equal to 89.7% over 100%. Multiply 58 by 89.7, giving you 5,202.6. Next, take 5,202.6 and divide it by 100. This should give you 52. 026, but it’s best to round this to 52. 52 students actually attend the art class, making this your final answer.
2(-4y) +7y =3
-8y + 7y =3
-y=3
therefore y= -3