Answer:
f(-3)=g(-3)=-4 True
Step-by-step explanation:
We are given a graph of f(x) and g(x) on same coordinate plane.
We need to choose the option true.
Option 1: f(-3) = g(-4)
We will see the value of f(-3) and g(-4) from graph.
f(-3)=-4
g(-4)=-2.5
Thus, False statement
Option 2: f(-4) = g(-3)
We will see the value of f(-4) and g(-3) from graph.
f(-4)=-6
g(-3)=-4
Thus, False statement
Option 3: f(-3) = g(-3)
We will see the value of f(-3) and g(-3) from graph.
f(-3)=-4
g(-3)=-4
Thus, True statement
Option 4: f(-4) = g(-4)
We will see the value of f(-4) and g(-4) from graph.
f(-4)=-6
g(-4)=-2.5
Thus, False statement
Hence, f(-3)=g(-3)=-4 True
Given:
The function is:
where .
To find:
The range of the given function.
Solution:
Range is the set of output values.
We have, . It means the value of x is greater than 6 but not equal to 6.
The function is
Putting x=7, we get
Putting x=8, we get
Putting x=9, we get
So, the range of the given function is {31, 36, 41...}.
Therefore, the correct option is B.
Answer: 0.0265
Step-by-step explanation:
Given: The proportion of Mississippians live in poverty, which makes Mississippi the state with the highest poverty rate in the United States. : p = 19.7% = 0.197
Sample size : n= 250
The probability that at least 25% of them live in poverty will be
Hence, the required probability = 0.0265