Based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.
<h3>What is probability?</h3>
Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Two events, A and B are independent, if:
P(A 
B) = P(A) P(B)
In this problem, the events are:
- Event A: Being female.
- Event B: Earning over $50,000.
Out of the 1000 people, 450 are female, hence:
P(A) = 
= 0.45
850 earn over $50,000, hence:
P(B) = 
= 0.85
375 are women who earn over $50,000, hence:
P(A B) = 
= 0.375
The multiplication of the probabilities is:
P(A B) = 0.45(0.85} = 0.3825
Therefore based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.
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1 7/8 tons of sand will be required to fill the playground
Answer:
c
Step-by-step explanation:
Graph each side of the equation. The solution is the x-value of the point of intersection.
equals =1.25256565
Car A travels 180miles in 7 hours
Car A travels 25.7 miles an hour because 180/7 = 25.7
Car B travels 350 miles in 4 hours
Car B travels 87.5 miles an hour because 350/4= 87.5
Car C travels 584 miles in 15 hours
Car C travels 38.9 miles an hour because 584/9 = 38.9
Car B has the fastest average speed
1: always rearrange the equation to y = mx + c so....
x - y = o
x = y
So the gradient is 1 and it intersects the y axis at (0,0)
The three points could be (1,1), (2,2), (3,3) and so on
2: -x -2y = -10
Multiply everything by -1
x + 2y = 10
2y = 10 - x
y = 5 - x/2
The y intercept is 5 so you could use the point (0,5), (2,4), (4,3) and so on
3: x + y = -2
y = -2 - x
The y intercept is -2 so you could use the points (0,-2), (2,-4), (3,-5) and so on
4: -3y =-x -7
Multiply everything by -1
3y = x + 7
y = x/3 + 7/3
The y intercept is 7/3 so you could use the points (0,7/3), (3,10/3), (6,13/3) and so o
5: -y = -x + 1
y = x - 1
The y intercept is -1 so you could use the points (0,-1), (2,1), (3,2) and so on
Hope this helps! Any questions let me know :)
