Answer:
Event 3 -> Event 1 -> Event 4 -> Event 2
Step-by-step explanation:
The probability of choosing a certain pen is the number of that pen in the box over the total number of pens in the box.
So we have that:
Event 1: We have 4 black pen and 20 total pens, so P = 4 / 20 = 1 / 5
Event 2: All pens are black or orange so the probability is 1.
Event 3: We don't have white pens, so the probability is 0.
Event 4: We have 2 black pen and 5 total pens, so P = 2 / 5
Listing from least likely to most likely, we have:
Event 3 -> Event 1 -> Event 4 -> Event 2
Step-by-step explanation:
102*100=10200
10200÷126=80.95
So the third one is correct
Answer:
Step-by-step explanation:
∠VTY is the tangent chord angle
- Tangent chord angle is the half of the intercepted arc
∠TSV is the inscribed angle.
- Inscribed angle is the half of the intercepted arc
<u>Since both of the mentioned angles refer to same arc, they are of same value.</u>
ΔTVS is isosceles as VS = ST, therefore the opposite angles are same.
<u>The measure of angle S</u>
<u>The required angle</u>
Answer:
(16x + 21) and (16x - 6)
Step-by-step explanation:
f(g(x)) = f(6 + 4x)
Applying the f(x) function on (6 + 4x) gives
4(6 + 4x) - 3
Which equals 16x + 24 - 3
= 16x + 21
g(f(x)) = g(4x - 3)
Applying the g(x) function on (4x - 3) gives
6 + 4(4x - 3)
Which equals 6 + 16x - 12
= 16x - 6