Using the <u>arrangements and the probability concept</u>, it is found that there is a 0.75 = 75% probability that the number formed is not divisible by 4.
- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- The number of possible arrangements of n elements is given by
In this problem, there are 4 elements, hence 
.
A number is a multiple of 4 if the <u>number composed by it's last 2 digits are multiples of 4</u>.
- Hence, the possible options for the last 2 digits are: 56, 68, 76.
- For each of them, there are
options for the first 2 digits, hence, there will be 2 x 3 = 6 multiples of 4.
The other 18 numbers formed are not divisible by 4, hence:
0.75 = 75% probability that the number formed is not divisible by 4.
For more on <u>arrangements and probabilities</u>, you can check brainly.com/question/24437717
(11 - 9i) - (15 - 12i) Ok so first multiple the subtraction sign into the parenthesis on the right had side of it.
And you get -15 + 12i
So now you have 11 - 9i -15 + 12i Combine Like terms
-9i + 12i = 3i
11 - 15 = -4
So your answer is 3i - 4
Hope you find this to your liking
P= 2(x+1) + 3(x-8)
= 2x+2+3x-24
= 5x-22
Answer:
±90
Step-by-step explanation:
√(-225) · √(-36) = (15i)·(6i) = 90i² = 90·(-1) = -90
_____
On the other hand, ...
... √(-225) · √(-36) = √((-225)·(-36)) = √8100 = 90
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If you consider all the roots at each stage, the result is ±90. Since you're working with complex numbers here, it is reasonable to recognize every number has two square roots.
... √(-225) = ±15i
... √(-36) = ±6i
... √(-225) · √(-36) = (±15i)·(±6i) = ±90i² = ±90
Answer:
Step-by-step explanation:
x^2 + 7 = 23
x^2 = 16
√x² = √16
x = 4
