Answer:
4/27 chance of getting a white marble.
Step-by-step explanation:
There are 4 white marbles but there are 27 marbles in total. If you wanted a percentage, then divide 4 by 27 and place the decimal two places to the right once you founded your answer.
(sorry if it's a bad explanation)
Answer:
Sample Space = {A, B, C, D, E, F}.
Sample space for choosing C to F = {C, D, E, F}.
Step-by-step explanation:
All six letters are included in the first set of possible outcomes.
Four letters (C to F) are included in the second set of possible outcomes.
Answer: x+2 / x+ 9, x = -2, x=-9 ( A )
Solution:
Breakdown the problem into two sets
Step 1: simplify x^2 -10x - 24
Factorize the above equation,
Multiply the last term (24) with the first term coefficient i.e. 1
Step 2: Then, find the factors of 24 in a way that when you add or subtract it sums up to 10
x2 - 12x + 2x - 24 >>>> (x2-12x) + (2x-24) >>> take common
>>>> x(x-12) + 2( x-12)
Step 3: (x + 2) (x - 12)
Step 4: Step 1: simplify x^2 - 3x - 108 using the same steps
x2 - 12x + 9x - 108 >>>> take common x(x-12) + 9 ( x -12) >>>
(x + 9) (x - 12) final product
Now, Simplify the equation as a whole
(x + 2) (x - 12) / (x + 9) (x - 12) Note: (x - 12) cancels out
= (x + 2) / (x + 9) with x= -2 and x= -9
Solution to the question:
Number of blocks stacked: 30
Height of tower: 64 inches
Height of each block: ?
To find the height of each block, we divide the total height of the tower with the number of blocks stacked
Therefore,
Height of each block: 64/30 = 2.13 inches
So, the height of each block is 2.13 inches.
101.28-96 = 5.28
5.28/96 = 0.055
0.055 x 100% = 5.5%