(v-4t)(v+nt)
=v^2+vnt-4tv-4nt^2
Mesure of inscribed angle: mesure angle LMN = mesure ARC (MLN)/2
Hence angle MLN = 64°
Question:
Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.
Right side up = 60 Upside down = 53 Side = 37
If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?
Answer:
The expected number of times the cup will land on its side is 25 times
Step-by-step explanation:
Given



Required
First, we calculate the probability of landing on side



Next, we calculate the expected value; E(x) using:

When tossed 100 more times:
n = 100 and P(x) = P(Side) = 0.247
So:


--- approximated
<em>Hence, it is expected that it will land on its side 25 times</em>
Answer:
60
Step-by-step explanation:
m(ADB) + m(BDC) = 90°
(3x+9) + (2x -4) = 90°
5x + 5 = 90°
5x = 85
5x/5 = 85/5
x = 17
m(ADB) = 3x + 9
3.17 + 9 = 51 + 9 = 60
Hope this helps ^-^
Answer:
c
Step-by-step explanation:
(x+8)+(x+4)=0
×=-8 and ×= -4