Answer:
the answer might be A meaning Sis TV correct one
Answer:
![(a) = \frac{144}{133225} \\\\(b) = \frac{1}{365}](https://tex.z-dn.net/?f=%28a%29%20%3D%20%5Cfrac%7B144%7D%7B133225%7D%20%5C%5C%5C%5C%28b%29%20%3D%20%5Cfrac%7B1%7D%7B365%7D)
Step-by-step explanation:
Part (a) the probability that two people have a birthday on the 9th of any month.
Neglecting leap year, there are 365 days in a year.
There are 12 possible 9th in months that make a year calendar.
If two people have birthday on 9th; P(1st person) and P(2nd person).
![=\frac{12}{365} X\frac{12}{365} = \frac{144}{133225}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B12%7D%7B365%7D%20X%5Cfrac%7B12%7D%7B365%7D%20%20%3D%20%5Cfrac%7B144%7D%7B133225%7D)
Part (b) the probability that two people have a birthday on the same day of the same month
P(2 people selected have birthday on the same day of same month) + P(2 people selected not having birthday on same day of same month) = 1
P(2 people selected not having birthday on same day of same month):
![= \frac{365}{365} X \frac{364}{365} =\frac{364}{365}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B365%7D%7B365%7D%20X%20%5Cfrac%7B364%7D%7B365%7D%20%3D%5Cfrac%7B364%7D%7B365%7D)
P(2 people selected have birthday on the same day of same month) ![= 1-\frac{364}{365} \\\\= \frac{1}{365}](https://tex.z-dn.net/?f=%3D%201-%5Cfrac%7B364%7D%7B365%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B1%7D%7B365%7D)
Answer:
2 and 6, 4 and 8, 1 and 5, 3 and 7
Step-by-step explanation:
The angle rule of corresponding angles states that the corresponding angles are equal if a transversal cuts two parallel lines.
In this example, lines m and l are two parallel lines
line n cuts through both, making every other angle corresponding and congruent, etc...
Congruent means there's exact shape and angle magnitude since transformation requires relocation of an image there's no change to it's shape therefore it's congruent
A(n) = –3 • 2⁽ⁿ⁻¹⁾
for n = 1 , A₁ = -3.(2)⁰ = -3
for n = 2 , A₂ = -3.(2)¹ = -6
for n = 3 , A₃ = -3.(2)² = -12
for n = 4 , A₄ = -3.(2)³ = -24
...........................................
for n = 8 , A₈ = -3.(2)⁷ = -384