<span>The domain is the set of all real numbers where the function is defined. In this case, the function would be defined everywhere, so all real numbers will satisfy this condition. The range is the domain of the inverse function, which will also have all real numbers as its range. Since this function can be stated as "y = 3" by replacing "f(x)", the intercept would be (0,3).</span>
Answer:
Step-by-step explanation:
The volume of the prism is 3 cube units, which means that the prism can be filled with 3 
.
Here, there are 64 cubes with 1/4 units side lengths in 1 cubic unit.
Since the rectangular prism is made up of 3 cubic units, we would have
3 * 64 total cubes with 1/4 units side lengths.
Therefore, it takes 192 of the 1/4 unit cubes to fill the prism.
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The probability that the 10th will be able to sit on his/her original seat when the 1st person has randomly changed his/her seat is 7/9
Probability :
In Mathematics, Probability stands for the ratio of the number of favorable outcomes to the total number of outcomes in a random experiment. It is used to predict how likely an event can happen.
Probability of an event,
P(E) = No of favorable outcomes / total number of outcomes
Here we have,
10 people always get on a bus in the same order and sit in the same places.
The 1st person has randomly changed his/her seat
Except for 1 remaining number of seats is 9
If 1st person changes his/her place with the remaining 9 seats the number of ways that 1st person can be seated is 9
In 9 ways 10th will be able to sit on his/her original seat when the 1st person is seated in 2 to 9 seats i.e 7 seats
Therefore,
The number of favorable outcomes that the 10th person will be able to seat in his/her original seat = 7
From the above observations,
The probability that the 10th will be able to sit on his/her original seat
= 7 / 9
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9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The segment marked 6x is the midline of the triangle, so is half the length of the base.
6x = 1/2(84)
x = 42/6 = 7
The value of x is 7.
Answer:
Step-by-step explanation:
The perimeter of a polygon is simply sum of the lengths of all sides of the polygon.
Therefore, we can find this polygon's perimeter by adding up the length of each of its sides:
Since there is a lot to keep track of, I'd recommend picking any side and moving clockwise/counter-clockwise until you get all sides.
