y = ( 48 *2 ) / 6
Step-by-step explanation:
If y varies directly as x they are directly proportional, which means they relate to each other in the same way....
2 : y = 6: 48
what is y if x = 2?
The value of y can be found if you write it a two fracrions
2 : y = 6 : 48
2 / y = 6 / 48
cross multiply the fractions gives
6*y = 48 *2
divide left and right of the = sign by 6 gives the answer:
y = ( 48 *2 ) / 6
(if you solve it you get y = 12 but that was not the question).
Other method:
multiply left and right of the = sign by y
2 * y/y = y *6 / 48
6y / 48 = 2 * 1
multiply left and right of the = sign by 48
6y * 48/48 = ( 48 *2 )
6y = ( 48 *2 )
divide left and right of the = sign by 6
6/6* y = ( 48 *2 )/6
y = ( 48 *2 ) / 6
(if you solve it you get y = 12 but that was not the question).
Answer:
The domain and range of function is the set of all possible inputs and outputs of a function respectively.
The domain and range of a function y = f (x) is given as domain= {x ,x∈R }, range= {f (x), x∈Domain}.
The domain and range of any function can be found algebraically or graphically.
Answer:
21.77% probability that the antenna will be struck exactly once during this time period.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
In this question:

Find the probability that the antenna will be struck exactly once during this time period.
This is P(X = 1).


21.77% probability that the antenna will be struck exactly once during this time period.
The graph that shows the solution to the system of inequalities is: C (see the image attached below).
<h3>How to Determine the Graph of the Solution to a
System of Inequalities?</h3>
Given the following systems of inequalities:
y < -1/3x + 1
y ≤ 2x - 3
Below are the features of the graph that represents a solution to the system of inequalities:
- The boundary line of y < -1/3x + 1 would be a dashed line and the shaded area would be below it, because of the inequality sign, "<".
- The boundary lines of y ≤ 2x - 3 would be a solid line and the shaded area would be below it, because of the inequality sign, "≤".
- The slope of the shaded line that represents y < -1/3x + 1, would be -1/3, and the line would be a decreasing line which intersects the y-axis at 1.
- The slope of the line that represents y ≤ 2x - 3, would be 2, and the line would also be an increasing line that intersects the y-axis at -3.
Therefore, the graph that shows the solution to the system of inequalities is: C (see the image attached below).
Learn more about the graph of the system of inequalities on:
brainly.com/question/10694672
#SPJ1
9x1.19=10.71
This means the dog weighs 10.71 pounds, hope this helps