He was 20 when his son was born.
He was 40 when he was twice as old.
(fg)(x) = (3x + 6) (<span>2x^2)
</span>(fg)(x) = 6x^3 + 12x^2
hope it helps
Answer:
Option D - Stretched by a factor of 2, reflected over the y-axis, and translated 9 units left.
Step-by-step explanation:
Given : The function
To find : Which of the following describes the graph of compared to the parent square root function?
Solution :
First we simplify the given expression
→When we see the original square root function minus was taken outside x and 9 was added from x and 2 was multiplied to the entire function.
- Multiplying 2 in the function will give you the stretched by a factor of 2.
- shows the reflection about y-axis i.e, (x,y)→(-x,y).
- If f(x)→f(x+b) then function is shifted left by unit b
⇒ g(x))→g(x+9) then function is shifted left by unit 9
Therefore, The graph of was stretched by a factor of 2, reflected over the y-axis, and translated 9 units left to obtain the graph of the function .
So, Option D is correct.
Using the hypergeometric distribution, it is found that there is a 0.033 = 3.3% probability that the third red fish is the seventh fish selected.
The fishes are chosen without replacement, which means that the <u>hypergeometric distribution</u> is used to solve this question.
Hypergeometric distribution:
The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
In this problem:
- During the first 6 fish, we want two red.
- The seventh being red, with a 1/9 probability, as considering 2 of the first 6 are red, one of the 9 remaining will be red.
- 15 fish, thus .
- 3 are red, thus .
- 6 fish, thus .
0.033 = 3.3% probability that the third red fish is the seventh fish selected.
A similar problem is given at brainly.com/question/24008577