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
Answer:
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Step-by-step explanation:
300.50(0.07)= 21.04
300.50+21.04= 321.54 321.54x = 900.85 x = 2.8
Answer:
16.3333333 is the correct answer.
Triangle Inequality Theorem is used to find the inequality for a triangle when it only gives you two sides
<em><u>Solution:</u></em>
We can find the inequality for a triangle when it only gives you two sides by Triangle Inequality Theorem
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
This rule must be satisfied for all 3 conditions of the sides.
Consider a triangle ABC,
Let, AB, BC, AC be the length of sides of triangle, then we can say,
Acoording to Triangle Inequality Theorem,
sum of any 2 sides > third side
BC + AB > AC
AC + BC > AB
AB + AC > BC
For example,
When two sides, AB = 7 cm and BC = 6 cm is given
we have to find the third side AC = ?
Then by theorem,
Let AC be the third side
AB + BC > AC
7 + 6 > AC
Thus the inequality is found when only two sides are given