Graph of the function is attached below.
Correct option is D.
As the name suggests, the exponential function contains an exponent. Note, however, that the exponential function has a constant as its base and a variable as its exponent, not vice versa (if a function has a variable as its base and a constant as its exponent, it is a power function). The exponential function can be in one of the following forms:
Definition of exponential function
In mathematics, an exponential function is a function of the form f(x) = aˣ. where "x" is a variable and "a" is a constant called the base of the function, which must be greater than 0.
Given, exponential function
f(x) = (1/4)4ˣ
exponential function is defined for x∈R
Putting x = 0
f(0) = (1/4)4⁰
f(0) = 1/4
Point on curve is (0,1/4)
Putting x = 1
f(1) = (1/4)4¹
f(1) = (1/4)4
f(1) = 1
Point on curve is (1,1)
Putting x = 2
f(2) = (1/4)4²
f(2) = (1/4)16
f(2) = 4
Point on curve is (2,4)
Putting x = 3
f(3) = (1/4)4³
f(3) = (1/4)64
f(3) = 16
Point on curve is (3,16)
Point (0, 1/4), (1, 1), (2, 4), (3, 16) can be used to draw graph of the function.
Hence, graph of the function is drawn as follows.
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Answer:
The Third one
Step-by-step explanation:
Your Welcome :)
to find 1/100 of 2000 we divide 2000 by 100. mariah has 20 stickers.
Answer:
12<|h-8|<22
Step-by-step explanation:
B: {Sum of the numbers showing is 9,11, or 12}
Are events A and B independent? Why?
Answer:
A and B are not independent.
Step-by-step explanation:
Two events are said to be independent if :
A: {Sum of the numbers showing is odd}
B: {Sum of the numbers showing is 9,11, or 12}
Given two dice, the sample space is given as:
(1,1), (2,1), (3,1), (4,1), (5,1), (6,1)
(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)
(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)
(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)
(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)
(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)
The outcomes of event A:{Sum of the numbers showing is odd} are:
(2,1), (4,1), (6,1), (1,2), (3,2),(5,2), (2,3), (4,3), (6,3)
(1,4), (3,4), (5,4), (2,5), (4,5), (6,5), (1,6), (3,6), (5,6)
P(A)=18/36
The outcomes of event B:{Sum of the numbers showing is 9,11, or 12} are:
(6,3), (5,4),(4,5) (6,5), (3,6), (5,6), (6,6)
P(B)=7/36
The intersection of A and B are:
(6,3), (5,4),(4,5) (6,5), (3,6), (5,6)
We can see from the above that:
Therefore, events A and B are not independent.
The events A and B are dependent because the outcome of one event affects the probability of the other event happening.
The events A and B are dependent because the outcome of one event affects the probability of the other event happening. To determine if two events are independent, we need to check if the probability of the intersection of A and B is equal to the product of their individual probabilities.
Let's calculate the probabilities:
In summary, events A and B are dependent because the outcome of one event affects the probability of the other event happening.
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The correct option is polygon E.
A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
Given that, Which polygons have at least one pair of parallel sides but are not parallelograms,
Such polygons are called trapezoid.
A trapezoid, also known as a trapezium, is a flat-closed shape having 4 straight sides, with one pair of parallel sides.
Hence, the correct polygon is E.
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