<h3>
Answer:</h3>

<h3>
Step-by-step explanation:</h3>
The common ratio is -8/4 = -2. The general formula for the n-th term is ...
... an = a1·r^(n-1) . . . . . . note the use of the caret (^) and parentheses
For r = -2 and a1 = 4, this becomes ...
... an = 4·(-2)^(n-1) . . . . approximately matches the 2nd selection
Answer:
∡x = 20°
∡y = 160°
∠z = 160°
Step-by-step explanation:
Angles on a straight line sum to 180°
⇒ ∠z + 20° = 180°
⇒ ∠z = 180° - 20°
⇒ ∠z = 160°
The central angle measure equals the corresponding arc measure.
⇒ ∡x = 20°
⇒ ∡y = ∠z = 160°
Answer:
The easiest way to figure this is to find P(no girls in 5 births) = (1/2)^5 = 1/32 -------------- The P(at least one girl in 5 births) = 1 - 1/32 = 31/32
Answer:
The wife gets £468 over the son
Step-by-step explanation:
Firstly, we shall calculate the total amount Brian made from from what he and Paul won.
The ratio is 1:4, meaning for every 2 part Brain takes, Paul takes 4
Paul’s share is thus 1/5 * 7800 = 7800/5 = £1560
Now we have another ratio for sharing the amount Brain has at home.
The total ratio here is 1+6+3 = 10
The share of the wife will be 6/10 * 1560 = 6 * 156 = 936
The son share is half of this which is 936/2 = 468
The difference between their shares is £936-£468 = £468