Answer:
Step-by-step explanation:
The problem relates to filling 8 vacant positions by either 0 or 1
each position can be filled by 2 ways so no of permutation
= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
= 256
b )
Probability of opening of lock in first arbitrary attempt
= 1 / 256
c ) If first fails , there are remaining 255 permutations , so
probability of opening the lock in second arbitrary attempt
= 1 / 255 .
Jamie's age is n. (given)
Brian's age is 2n. (given)
Half of Brian and Jamie's present age is (n +2n)/2 = 3n/2.
Let m represent Morgan's age now. Then
... m + 8 = 2 + 3n/2 . . . . . in 8 years, Morgan's age will be 2 more than ...
Subtract 8 to find Morgan's present age:
... m = 3n/2 - 6 . . . . Morgan's present age
Answer:
∴ 
and 
this two sides include 
Step-by-step explanation:
Given;
A triangle 
We can see the figure of the triangle
Where the or 
made by two sides and .
So and this two sides include
Answer:
Step-by-step explanation:
1 yard = 3 feet = 36 in
so 1 in = 1/36 yard, 1 ft = 1/3 yard.
The volume of the layer of the topsoil, is:
4 in * 28 ft * 14 ft = 4 *(1/36)*23*(1/3)*17*(1/3) yard cubed =
(4*28*14)/(36*3*3)= 1955/324=
The store only sells increments of 1/4 = 0.25 cubic yards.
we need 6.034/0.25=
So we need to buy 25 (24 will not be enough) increments of 1/4 cubic yards.
