Answer:
0.001709
Step-by-step explanation:
The probability of getting 9 tails then 1 head is:
(½)⁹ (½)¹ = (½)¹⁰
The probability of getting 10 tails then 1 head is:
(½)¹⁰ (½)¹ = (½)¹¹
The probability of getting 11 tails then 1 head is:
(½)¹¹ (½)¹ = (½)¹²
The total probability is:
(½)¹⁰ + (½)¹¹ + (½)¹²
0.001709
A triangle's interior angles will always add up to 180 degrees.
When one interior angle gets larger, the other angles must decrease in size.
If you attempt to make a triangle with two obtuse angles, you will find you can't do it in three lines. But you need an extra line in order to close the shape. But it won't be a triangle.
Answer:
136
Step-by-step explanation:
No matter what the distribution, all of the interior angles of a convex hexagon will add up to 720 degrees. Therefore, if you subtract all of the known angles in this hexagon from 720, you will find x.
720-134-106-117-119-108=136 degrees. Hope this helps!
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The irrational numbers are: √8, √10 and √15
Step-by-step explanation:
A rational number is a number that can be written in the form p/q where p&q are integers and q≠0.
"All the numbers whose square root is not a whole number and has an infinite number of digits after decimal, are irrational numbers"
So in the given options

Which can be written in the required form so √4 is a rational number

√8 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

√10 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

√15 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

Which can be written in the required form so √36 is a rational number
Hence,
The irrational numbers are: √8, √10 and √15
Keywords: Rational numbers, Irrational numbers
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