The sample space of Shari's tree diagram is the total possible outcomes of rolling the game piece and spinning the pointer.
It doesn't matter if Shari starts with the spinner or the game piece
<h3>How to determine the tree diagram</h3>
The experiment involves:
- Rolling a 12-sided game piece
- Spinning the pointer of a 4-section spinner
If Shari starts with the game piece, the sample size (n) would be:
n = 12 * 4
n = 48
If Shari starts with the spinner, the sample size (n) would be:
n = 4 * 12
n = 48
Notice that the sample size remains unchanged irrespective of what he starts with
Hence, it doesn't matter if Shari starts with the spinner or the game piece
Read more about tree diagram at:
brainly.com/question/2581880
For the value of x = 10, then the value of function f [g(10)] is 198. Then the correct option is D.
<h3>What is a function?</h3>
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The following functions f(x) and g(x), solve f [g(10)]. f(x) = 10x + 8 g(x) = x + 9.
put g(x) in place of x in the function f(x). Then we have
f [g(x)] = 10(x + 9) + 8
f [g(x)] = 10x + 90 + 8
f [g(x)] = 10x + 98
Put x = 10, then we have
f [g(10)] = 10(10) + 98
f [g(10)] = 100 + 98
f [g(10)] = 198
Thus, for the value of x = 10, then the value of function f [g(10)] is 198. Then the correct option is D.
More about the function link is given below.
brainly.com/question/5245372
2 rational numbers are C. 2.777 and D. -7/3
a rational number<span> is any </span>number<span> that can be expressed as the quotient or fraction p/q of two integers
</span>
as you know 0.7777 (7 repeat) = 7/9
so 2.777(7 repeat) = 2 7/9
Hey there!
If we would want to find out what it would be, we would have to divide it.
Your correct answer would be (2.98)
I did 65.56/22.
Hope this helps you!
Answer:
f(4)
Step-by-step explanation:
The output is the value of f(x) for a given value of x ( the input )
Substitute the given values of x into f(x) to determine the output, that is
f(- 8) = (- 8)³ - (- 8)² = - 512 - 64 = - 576 ≠ 48
f(- 4) = (- 4)³ - (- 4)² = - 64 - 16 = - 80 ≠ 48
f(4) = 4³ - 4² = 64 - 16 = 48
Thus f(4) gives an output of 48
