Answer:
D. 0.821
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The combinations formula is important to solve this question:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes
The order is not important. For example, Elisa, Laura and Roze is the same outcome as Roze, Elisa and Laura. This is why we use the combinations formula.
At least 3 girls.
3 girls
3 girls from a set of 5 and 2 boys from a set of 3. So
4 girls
4 girls from a set of 5 and 1 boy from a set of 3. So
5 girls
5 girls from a set of 5
Total outcomes
5 from a set of 8. So
Probability
So the correct answer is:
D. 0.821
A is not part of the problem, and it's what makes the condition false. B is the opposite of the statement being proved. C is the condition, not the hypothesis. However, D is the statement we are trying to prove, or the hypothesis.
The graph above is the graph of,
Answer:
Option A is correct.
The domain of the g(x) is {x | x is a real number}
Step-by-step explanation:
The graph of the step function: g(x)=
Floor function is defined as the function that gives the highest integer less than or equal to x.
The graph of function: g(x)= where x is the independent variable as shown below;
Domain of any function is the complete set of possible values of the independent variable
Therefore, the domain of the function g(x) is the set of all real numbers or we can represent this as {x | x is a real number}.
Answer: a) 
b) 
c) 
d) 
Step-by-step explanation:
Since f is an exponential function.
So, it is expressed as
Here f is the present value
p is the initial value
r is the rate of growth per time period
t is the time period.
(a) b represents the 1-unit growth factor for f.
(b) c represents the n n-unit growth factor for f.
(c) d represents the m m-unit growth factor for f.
Write a formula that expresses c in terms of b.
Since
Hence, a) b) c) d)
