Answer:
(C)Yes, because P(M) ∙ P(N) = P(M ∩ N)
Step-by-step explanation:
Two events A and B are independent if P(A)P(B)=P(A ∩ B)
Given events A and B such that:
P(A) = 0.3, P(B) = 0.25, P(A ∪ B) = 0.425, and P(A ∩ B) = 0.075
- P(A)P(B)=0.3 X 0.25 =0.075
- P(A ∩ B) = 0.075
Since the two expression above gives the same answer, they are independent.
<u>The correct option is C.</u>
Answer:
Joseph caught 7 tadpoles
Step-by-step explanation:
Let the number of tadpoles caught by Joseph be x
The number of tadpoles Wendy caught will be ;
9(x + 3)
After Joseph was upset, he released half of Wendy’s tadpole and then six times as many as Joseph caught swam away leaving Wendy with only three tadpoles left;
Hence, mathematically;
9(x + 3)/2 - 6x = 3
Multiply through be 2
9(x + 3) - 12x = 6
9x + 27 -12x = 6
9x -12x = 6-27
3x = 21
x = 21/3
x = 7
Answer:
m=3/4
Step-by-step explanation:
first, let's put the line 4x+3y=9 from standard form (ax+by=c) into slope-intercept form (y=mx+b)
we have the equation 4x+3y=9
subtract 4x from both sides
3y=-4x+9
divide by 3
y=-4/3x+3
perpendicular lines have slopes that are negative and reciprocal. If the slopes are multiplied together, the result is -1
so to find the slope of the line perpendicular to the line y=-4/3x+3, we can take the slope of y=-4/3x+3 (-4/3) multiply it by a variable (this is our unknown value), and have that set to -1
(m is the slope value)
-4/3m=-1
multiply by -3/4
m=3/4
therefore the slope of the perpendicular line is 3/4
hope this helps!! :)
Answer:
No
Step-by-step explanation: They are not because different banks have different interest rates on accounts, different fees and more
Answer:
circle on 1 and all numbers to the right shaded closed circle on 1 and all numbers to the left shaded
Step-by-step explanation:
