Using the Binomial distribution, If n=10 and p=0.3, find P(x=4)
1 answer:
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Answer:
OPTION D: The rate of change of Function 2 is less than that of Function 1.
Step-by-step explanation:
From the table, we will determine the equation of function 2.
From the table, g(1) = 14 & g(-3) = - 86
Since, it is a linear function it should have been of the form, y = a + bx.
We will denote Function 2 as g(x).
So, g(1) = 14 = a + b . . . (1)
And g(-3) = -86 = -3a + b . . . (2)
From (1), a = 14 - b
Substituting this in (2), we get:
-86 = -3(14 - b) + b
⇒ - 86 = - 42 + 4b
⇒ - 44 = 4b
⇒ b = -11
So, a = 14 - (-11)
⇒ a = 25
So, equation of function 2 is: y = 25 - 11x.
Hence, Option A and B are eliminated.
In a linear equation of the form, y = ax + b, y - intercept = b.
So, in function 1, y - intercept = 19
And in function 2, y - intercept = -11
Clearly, OPTION C can be eliminated.
Now, rate of change of Function 1 =
and rate of change of Function 2 =
Therefore, we can say that the rate of change if function 2 is less than that of function 1.
Option D is our answer.
The first step in solving this is to substitute x with 3 and y with 2, so that
becomes
Then simply solve using the order of operations.
First exponents (there are no parentheses)
Then multiply and divide
And finally add and subtract
Therefore the value <span>of 1/3 x^2 + 5.2y when x=3 and y=2 is 13.4</span>
becomes
Then simply solve using the order of operations.
First exponents (there are no parentheses)
Then multiply and divide
And finally add and subtract
Therefore the value <span>of 1/3 x^2 + 5.2y when x=3 and y=2 is 13.4</span>