Question

Please I could have some help on this question :)

Answer 1

Answer:

⅕

Step-by-step explanation:

x(x - 2) + x + 2x + 8 + 10 = 60

x² + x - 42 = 0

x² + 7x - 6x - 42 = 0

x(x + 7) - 6(x + 7) = 0

(x - 6)(x + 7) = 0

x = 6, -7(not possible)

No. of 20th century paintings:

x(x - 2) + x

6(6 - 2) + 6

6(4) + 6

24 + 6

30

P(British/20thcentury) = 6/30 = 1/5

Answer 2

Answer:

1/5

Step-by-step explanation:

That little weird backwards E covers all the elements within the box in the diagram. There are x(x - 2) paintings from the 20th century, 2x + 8 British paintings, x paintings that are both British and come from the 29th century, and 10 that are neither of these. These should all add up to 60:

x(x - 2) + (2x + 8) + x + 10 = 60

x² - 2x + 3x + 18 = 60

x² + x - 42 = 0

(x + 7)(x - 6) = 0

x = -7 or x = 6

Obviously, we can’t have a negative number of paintings, so x = 6.

Out of the paintings, we choose one that is from the 20th century, and there are:

x + x(x - 2) = 6 + 6 * (6 - 2) = 6 + 24 = 30 paintings from the 20th century

x of these are also British, so since x = 6, the probability we’re looking for is:

6/30 = 1/5

The answer is 1/5.