Answer:
The correct option is A. 14%
Step-by-step explanation:
There is a 70% chance of rain tomorrow
⇒ The probability that it will rain tomorrow = 0.7
There is a 20% chance that the volleyball game will be postponed
⇒ The probability that the volleyball game will be postponed = 0.2
Now, We need to find the probability that it will rain tomorrow and the volleyball game will be postponed
⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = Probability that it will rain × Probability that the volleyball game will be postponed
⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.7 × 0.2
⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.14
⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 0.14 × 100
⇒ The probability that it will rain tomorrow and the volleyball game will be postponed = 14%
Thus, the correct option is A. 14%
The answer for f(x)-g(x) is 
.The solution can be obtained by use of concept of functions.
<h3>What is a function?</h3>
A function, in mathematics, can be defined as an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).It useful in mathematical representation of scientific quantities.
We can perform addition and subtraction operations on functions.
The given function f(x) and g(x) are
The solution for f(x)-g(x) is .
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The fraction for that is 1/2
Answer:
<h2>(0.3, -18.45).</h2>
Step-by-step explanation:
We need to recur to the extreme value theorem, which states: "If a function is continuous on a closed interval, then that function has a maximum and a minimum inside that interval".
Basically, as the theorem states, if a dunction is continuous, then it has maxium or minium.
In this case, we have a quadratic function, which is a parabola. An important characteristic of parabolas is that they have a maximum or a minium, but they don't have both. When the quadratic term of the fuction is positive, then it has a minium at its vertex. When the quadratic term of the function is negative, then it has a maximum at its vertex.
So, the given function is 
, where the quadratic term is positive, so the functions has a minimum at 
, where 
and 
, let's find that point
<h3>
</h3><h3>
</h3><h3 /><h3>Therefore, the minium of the function is at (0.3, -18.45).</h3>
Answer:
(-4,1)
Step-by-step explanation:
Ordered pair (-4,1) means that x = -4 and f(x) = 1
Ordered pair (1,-4) means that x = 1 and f(x) = -4
From the table, we can see that the function is already defined for x = -4, but it is not defined for x = 1. So, the point (1,-4) can be included into the function, but the point (-4,1) cannot.
