Answer: 

Step-by-step explanation:
Given : P(A)=0.60 and P(B)=0.30
We will say A and B are independent events if :


Thus , A and B are independent events if :


Answer:
C
Step-by-step explanation:
the proportions all seem to stay the same, so while the second figure is smaller, all parts of the figures seem to follow the same scaling factor.
there are 8 isoceles triangle "rays" emanating from a central circle in both figures. so, also the main characteristics are the same.
the smaller figure appears rotated compared to the other.
so, it was rotated and then dilated (or vice versa, as the sequence of these 2 operations is irrelevant).
Answer:
1/98
Step-by-step explanation:
Step 1: Translate statement into equation.
Step 2: Multiply both sides by 7x.
Step 3: Divide both sides by 98.
Step 4: Check if solution is correct.
Therefore, the answer is 1/98.
Answer:
£120
Step-by-step explanation:
Given that
The price after reduction = £78
So, 65% = £78.
We have to calculate 100 %
To do so, find 5% and multiply that by 20
65% = £78
5% = 78/13 = £6
So, 100% = 6 x 20 = £120
Hope this helps.
Good Luck
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Answer:
The new width of the rectangle is 10.8 feet.
Step-by-step explanation:
Given:
Length of a rectangle 10 feet and width 6 feet. Length of the enlarged 18 feet.
Now, length of small rectangle (l) = 10 feet, width of small rectangle (w) = 6 feet, length of enlarged rectangle (L) = 18 feet and let the width of enlarged rectangle =
.
When enlarging the first rectangle, will be maintaining the aspect ratio of the first rectangle. The rectangles representing the outer edges of the first and enlarged rectangles will be similar. Using this fact, we can set up a proportion and solve.
So,


Multiplying with
on both the sides we get,

Multiplying with 6 on both sides we get,

And, now dividing by 10 on both the sides we get the width,

Width = 10.8 feet.
Therefore, the new width of the rectangle is 10.8 feet.