We have to know the angle that is not labelled. (lets call it y)
9x + y= 180
and the sum of the angles of a triangle is 180
5x + (9+x) + y=180
2 simultaneous equations
This is a binomial experiment and you'll use the binomial probability distribution because:
- There are two choices for each birth. Either you get a girl or you get a boy. So there are two outcomes to each trial. This is where the "bi" comes from in "binomial" (bi means 2).
- Each birth is independent of any other birth. The probability of getting a girl is the same for each trial. In this case, the probability is p = 1/2 = 0.5 = 50%
- There are fixed number of trials. In this case, there are 5 births so n = 5 is the number of trials.
Since all of those conditions above are met, this means we have a binomial experiment.
Some textbooks may split up item #2 into two parts, but I chose to place them together since they are similar ideas.
<em><u>The solution is (4, 4)</u></em>
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
<em><u>Substitute eqn 2 in eqn 1</u></em>
Make the right side of equation 0
<em><u>Solve by quadratic equation</u></em>
<em><u>Substitute x = 4 in eqn 2</u></em>
y = 2(4) - 4
y = 8 - 4
y = 4
Thus solution is (4, 4)
3% = 800/ 100 = 8, 8x3= 24
800-24 = 776
£776
Answer:13 hours
Step-by-step explanation:if you get paid your allowance then wrok for 13 hours-13x5=65+10=75
