An obtuse triangle is a triangle with an angle greater than 90 degrees, A scalene triangle is a triangle that has three different side lengths. You can find the side lengths(2,3,sqrt6) by plotting the triangle and using Pythagorean theorem. It is also visually clear that the triangle is obtuse if it is plotted.

Hope it helps <3

5 0

4 years ago

50% of babies are born female Oliver wants to find the probability that 20 or more of the 50 babies born today were female if we

jarptica [38.1K]

Solution:

Number of babies which are female = 50%= $\frac{1}{2}$

So, if Population of 50 is considered , and 50% of population is female then out of 25 must be female.

Population of female can't exceed 25.

Probability of an event = $\frac{\text{Total favorable outcome}}{\text{Total Possible outcome}}$

Probability that 20 or more of the 50 babies born today were female

= $_{20}^{50}\textrm{C}\times [\frac{1}{2}]^{20} \times [\frac{1}{2}]^{30}+_{21}^{50}\textrm{C}\times [\frac{1}{2}]^{21} \times [\frac{1}{2}]^{29}+_{22}^{50}\textrm{C}\times [\frac{1}{2}]^{22} \times [\frac{1}{2}]^{28}+_{23}^{50}\textrm{C}\times [\frac{1}{2}]^{23} \times [\frac{1}{2}]^{27}+_{24}^{50}\textrm{C}\times [\frac{1}{2}]^{24} \times [\frac{1}{2}]^{26}+ _{25}^{50}\textrm{C}\times [\frac{1}{2}]^{25} \times [\frac{1}{2}]^{25}$

Simulation of the Above Situation

If we use a double sided coin and a sign heads us females and Tails as males,Toss the coin 50 times , number of times Heads comes shows number of females born and number of times tails appears shows Population of men.

It may not happen that Number of heads =Number of tails if we toss the coin 50 times.So if number of tosses increases the chances are more likely that , number of heads= Number of tails. But for above problem we just have to toss coin 50 times only, that is

Number of males = Number of females

8 0

4 years ago

Read 2 more answers