Answer:
1245 a.m. is 0045 and 12:45 p.m. is 1245
Step-by-step explanation:
Midnight starts with 0000 and each hour until 1 p.m. starts with the actual hour number; 1 p.m. starts with 1300 and each hour thereafter adds another 100 (2 p.m. is 1400 etc.) with it ending at 2359 one minute before midnight.
Answer:
8000
Step-by-step explanation:
The number will be ...
(400 m^2)/(500 cm^2) = 0.8 (m/cm)^2 = 0.8 ((100 cm)/(1 cm))^2
= 0.8·100^2 = 8000
Fiona can cut 8000 rectangles from the plastic sheeting she bought.
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.
Answer:
Step-by-step explanation:
IM LEARNING THIS TOO LOL
angle one and angle 2 are congruent because of the corresponding angles theorem
angles 2 and 3 are linear pair so 1 plus 2 equals 180
i believe you can use the transitive property
