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igomit [66]
3 years ago
9

WILL MARK BRAINLIEST FOR QUICK AND CORRECT ANSWER Determine the sum of the given probabilities. Are the events complementary? P(

A) = 4/7 ; P(B) = 1/7 ; The events are complementary. ; The events are not complementary. ; The events are complementary. ; The events are not complementary.
Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0

Step-by-step explanation:

The numical sum of probabilities P(A) and P(B) = 4/7+1/7 = 5/7

Events A and B cannot be complementary because complementary events have their probabilities add up to exactly one.

Since P(A)+P(B)=5/7, A and B cannot be complementary.

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£980 is divided between Caroline, Sarah &amp; Gavyn so that Caroline gets twice as much as Sarah, and Sarah gets three times as
Nitella [24]

Sarah has received £ 294

<u><em>Solution:</em></u>

Given that £980 is divided between Caroline, Sarah & Gavyn

Let "c" be the amount received by caroline

Let "s" be the amount received by sarah

Let "g" be the amount received by gavyn

<em><u>Caroline gets twice as much as Sarah</u></em>

amount received by caroline = twice as much as Sarah

amount received by caroline = 2(amount received by sarah)

c = 2s ---- eqn 1

<em><u>Sarah gets three times as much as Gavyn</u></em>

amount received by sarah = three times as much as Gavyn

amount received by sarah = 3(amount received by gavyn)

s = 3g ------- eqn 2

Given that total amount is 980

c + s + g = 980 --- eqn 3

<em><u>Let us solve eqn 1, 2, 3 to get values of "c" "s" "g"</u></em>

From eqn 2,

g = \frac{s}{3}  --- eqn 4

Substitute eqn 1 and eqn 4 in eqn 3

2s + s + \frac{s}{3} = 980\\\\\frac{6s + 3s + s}{3} = 980\\\\6s + 3s + s = 980 \times 3\\\\10s = 2940\\\\s = 294

Thus sarah has received £ 294

7 0
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