Answer:
0.01863, yes preference
Step-by-step explanation:
given that a class consists of 12 boys and 12 girls. The teacher picks five students to present their work to the rest of the class and says that the five students are being selected at random
Here selecting any 5 students from the group of total 24 students is combination because order does not matter.
Total no of ways of selecting any 5 from total 24 = ![24C5\\=42504](https://tex.z-dn.net/?f=24C5%5C%5C%3D42504)
No of ways of selecting only 5 girls = No of ways of selecting random 5 girls from total 12 girls
= ![12C5\\=792](https://tex.z-dn.net/?f=12C5%5C%5C%3D792)
a) the probability be that all five students
selected are girls=![\frac{792}{42504} \\=0.01863](https://tex.z-dn.net/?f=%5Cfrac%7B792%7D%7B42504%7D%20%5C%5C%3D0.01863)
b) Since the probability for selecting all girls is very small and near to 0, it is unusual to select all girls if done at random. Hence the teacher had a preference for girls.
7 is the radius of the circle
P=650
R= 5% annually= 0.05
T=1 month=1/12 year
Sl=Prt=650*0.05*1/12= $2.70
So the answer would be 2.7 or 2.70
Nearly 81 moons will be required to equate the mass of moon to the mass of earth.
Step-by-step explanation:
Mass of earth is 5.972*10^24 kg.
Mass of the moon is 7.36*10^25 g = 7.36*10^22 kg
As mass of the Earth is given as 5.972 * 10^24 kg and mass of the moon is given as 7.36 * 10^22 kg, then the number of moons required to make it equal to the mass of earth can be calculated by taking the ratio of mass of earth to moon.
Mass of Earth = Number of moons * Mass of Moon
Number of Moons = Mass of Earth/Mass of moon
Number of moons = 5.972 * 10^24/7.36*10^22= 81 moons.
So nearly 81 moons will be required to equate the mass of moon to the mass of earth.