Answer:
9/25 or 36%
Step-by-step explanation:
The probability of selecting the fair coin is 1/2, and the probability of getting heads with the fair coin is 1/2.
P(fair) = 1/2, P(heads | fair) = 1/2
The probability of selecting the unfair coin is 1/2, and the probability of getting heads with the unfair coin is 2/3.
P(unfair) = 1/2, P(heads | unfair) = 2/3
P(fair and 2 heads) = 1/2 (1/2)²
P(fair and 2 heads) = 1/8
P(2 heads) = 1/2 (1/2)² + 1/2 (2/3)²
P(2 heads) = 1/8 + 2/9
P(2 heads) = 25/72
Therefore, the probability that you selected the fair coin, given that you flipped 2 heads, is:
P(fair | 2 heads) = (1/8) / (25/72)
P(fair | 2 heads) = (1/8) (72/25)
P(fair | 2 heads) = 9/25
Answer:
m∠XBC = 135
Step-by-step explanation:
What is the measure of ∠XBC?
m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
From the simplified expression, we need to find the value of p first
From the last line we can see that;
2p =94
Divide both sides by 2:
2p/2 =94/2
p = 47
From the expression, m∠XBC =3p-6
m∠XBC = 3(47)-6
m∠XBC = 141 -6
m∠XBC = 135
Hence the measure of m∠XBC is 135
What! i dont know this math yet:(
Answer:
17 in²
Step-by-step explanation:
area is equal to base multiplied to height by 2
base=3.23 in
height=5.12in
area of one triangle = 5.12 * 3.23/2
= 16.536/2
= 8.2688
these triangles are congruent so area of other triangle is also equal to 8.2688
total area= 2*8.2688
= 16.5376
round off
answer =17 in²