In this current scenario,
Probability of passing, p = 65% = 0.65
Then,
Probability of not passing, q = 1-p = 1-0.65 = 0.35
Part (a): When 15 people are tested
(i) Number of people expected to pass
This is 65% of the 15 people tested. That is,
Number of people expected to pass = 0.65*15 = 9.75. This is rounded downwards as upward rounding will violate the 65% criteria.
Therefore,
Number of people expected to pass = 9 people.
(ii) Probability that 11 people are expected to pass the test
p(x=11) = [15Cx]*p^x*q^(15-x) = [15C11]*0.65^11*0.35^(15-11) = 0.1792 ≈ 17.92%
Part (b): Teenager determined to pass the test no matter how many times
(i) Probability that he passes the test the third time
This means that he will fail the first and second time. That is,
Probability pf passing the third time = q*q*p = 0.35*0.35*0.65 = 0.079625 = 7.9625%
(ii) Number of trials it takes to pass
This is a case of mathematical expected, E, that it takes before first occurrence of success. Normally,
E = 1/p
Substituting;
E = 1/0.65 = 1.54 ≈ 2
Therefore, at least two trials will be required.
The <em><u>correct answer</u></em> is:
pairs 2, 3, and 4
Explanation:
Congruent polygons are polygons that have the same size and the same shape. We can see from the diagram that the figure in pair 2 has been rotated to form the second figure in the pair. Since the shape and size were not changed, they are congruent.
The figure in pair 3 has also been rotated; this again preserves size and shape, so the figures are congruent.
The figure in pair 4 sees to have been reflected. This did not change the size or shape of the figure, so the pair is congruent.
By dividing it is how you do it
Answer:
x = -3
Step-by-step explanation:
5(x-8) = -55
Divide each side by 5
5/5 (x-8) = -55/5
x-8 = -11
Add 8 to each side
x-8+8 = -11 +8
x = -3
Answer:
<h2>-5 < x < 13</h2>
Step-by-step explanation:
