Answer:
Step-by-step explanation:
There is a 1/12 probability that volume 1 will be correctly put in position 1.
If we assume that volume 1 is right, then since there are then only 11 books left to choose from, there is then a 1/11 prob that volume 2 will be in position 2. And so on. By the same reasoning there is 1/10 prob that volume 3 is then right, 1/9 prob for volume 4, 1/8 prob for volume 5, and 1/7 prob for volume 6,
and 1/6 prob for volume 7,and 1/5 prob for volume 8,and 1/4 prob for volume 9,and 1/3 prob for volume 10,and 1/2 prob for volume 11,and 1/1 prob for volume 12.
So the probability is 1 /(12*11*10*9*8*7*6*5*4*3*2*1) = 1 / 479,001,600 ....
Answer:
A
Step-by-step explanation:
One and three hundred and four thousand
1+ 3/100+ 4/1000
Answer:
B. 60.26°
Step-by-step explanation:
Given:
Consider the diagram representing the above scenario.
The top of the house where dad is standing is at A. The point where his son is standing is B. The bottom of the house is at C. AC is the height of house, BC is the distance between the house and son.
Height of the house (AC) = 21 ft
Distance between the house and son (BC) = 12 ft
Let the angle of depression for the dad be 'x'.
From the figure, it is clear that,
Angle of depression of the dad will be same as angle of elevation of Artie.
For triangle ABC,

Therefore, the angle of depression from the top of the house to the spot where Artie is standing is 60.26°.
Therefore, the correct option is option (B).