Angle 4 equals angle 5, when all angles are equal and the triangles are similar
Answer:
x=4
Step-by-step explanation:
5x-4x+2=6
x+2=6
x=6-2
x=4
Samuel needs to estimate the product of 24 x 395.
First method
We round the number to nearest tens
24 can be rounded to 20 because we have 4 on ones place
395 can be rounded to 400 because we have 5 in ones place so we add 1 with 9 and it becomes 10 . so we add 1 with 3 and got 400
20 * 400 = 8000
Second method:
We round the number to nearest hundreds place
24 have no number in hundreds place so it remains 24
395 can be rounded to 400 because we have 9 in tens place.
24 * 400 = 9600
Answer:
0.026
Step-by-step explanation:
Given the result of 10 coin flips :
T,T,H,T,H,T,T,T,H,T
Number of Heads, H = 3
Number of tails, T = 7
Let :
B = biased coin
B' = non-biased coin
E = event
Probability that it is the biased coin:
P(E Given biased coin) / P(E Given biased coin) * P(E Given non-biased coin) * P(non-biased coin)
P(E|B)P(B) / (P(E|B)*P(B) + P(E|B')P(B')
([(0.75^3) * (0.25^7)] * 0.5) /([(0.75^3) * (0.25^7)] * 0.5) + (0.5^10) * 0.5
0.0000128746 / 0.00050115585
= 0.0263671875