Answer:
0.160275
Step-by-step explanation:
P(5 time heads) =P(fair penny and 5 time heads + weighted penny and 5 time heads)
probability of fair penny = 99/100 (as one is removed)
probability of heads = 50% = 0.5 flipped 5 times
probability of weighted penny = 1/100
probability of heads for this penny = 90% = 0.9
substituting, we have
=(99/100) * (1/2)*5 + (1/100) * (0.9)5 = 0.036842
hence from Bayes theorem
P(weighted penny | 5 time heads) =P(weighted penny and 5 time heads) / P(5 time heads)
=(1/100)*(0.9)5 /0.036842 =0.160275
The answer is 325743 please mark branliest and give thanks if not i will report u
Answer:
The answer is below
Step-by-step explanation:
Given that:
Confidence interval (C) = 99%, mean (μ) = 19.5, standard deviation (σ) = 5.2, sample size (n) = 35
α = 1 - C = 1 - 0.99 = 0.01
α/2 = 0.005
The z score of α/2 (0.005) is the same as the z score 0.495 (0.5 - 0.005) which is equal to 2.576.
The margin of error (E) is given as:
The confidence interval = (μ ± E) = (19.5 ± 2.264) = (17.236, 21.764).
The confidence interval is between 17.236 and 21.764.
Answer: ∆LAW ≅ ∆WKL
By rule - ASA congruence postulate.
Step-by-step explanation:
Given: In ∆LAW and ∆WKL
AW⊥WL and WL⊥KL
therefore, by ASA postulate of congruence
∆LAW ≅ ∆WKL
- ASA postulate says that if two angles and the included side of one triangle are congruent to two angles and the included side of second triangle, then the triangles are said to be congruent.