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
Answer:
The tree is 18 feet high.
Step-by-step explanation:
The base was 5 feet away. The bird flew an additional 13 feet.
5+13=18.
Answer:
f(x) = |x| - 7
Step-by-step explanation:
The given equation is g(x) = |x|......... (1)
The vertical translation by 7 units down will not change the value of x, the only change will be in the value of g(x).
The vertical translation by 7 units down will change the value of g(x) by [g(x) + 7] in the left-hand side of the equation (1).
Therefore, the equation will become g(x) + 7 = |x|
⇒ g(x) = |x| - 7.
Otherwise we can represent the function as some other name say f(x).
So, f(x) = |x| - 7. (Answer)
We have that
<span>A).Formulate a recursive sequence modeling the number of grams after n hours.
a(n) = 0.75*a(n-1)
</span>B) .Use the model to calculate the amount of contaminants after the third hour of the experiment.
<span> for the first hour
</span>a(1) = 0.75*a(0)
<span>a0=400 g
a1=(3/4)400 = 300 g
for the second hour
</span>a(2) = 0.75*a(1)
<span>a1=300 g
a2=(3/4)300 = 900/4 g
for the third hour
</span>a(3) = 0.75*a(2)
<span>a2=900/4 g
(3/4)900/4 = 2700/16 = 168.75 g
the answer is </span>168.75 g
Number four is 8.0596 and number 5 is 1.98102
