Answer:
Each student receives 3/5 th of pie
Step-by-step explanation:
Solution:-
- The available pie left, P = 1 4/5
- The pie each gets after division = x
- There are n = 3 people ( Jenny and her two friends ).
- The leftover pie is to be evenly divided between all three people. We will express the amount of pie each student receive "x" in terms of Left over pie "P":
n*x = P
- We will plug in the values and solve for x:
3x = 1 4/5
3x = 1.8
x = 0.6 = 3/5 pie
- Each student will receive 3/5 pie.
Answer:
the probability is 0.09375
Step-by-step explanation:
From the question we know that there are equal number of pennies, nickels, dimes and quarters, So the probability of get of select one penny, or one nickel, or one dime or one quarter is the same. This is equivalent to have one of every coin and select four with replacement.
Additionally, the only way that the combined value of the four coins selected will be $0.41 is that the person select one penny, one nickel, one dime and one quarter.
The total ways of select 4 coins from 4 types of coins is calculate by the rule of multiplication as:
4*4*4*4=256
And for obtain the value of $0.41 the number of ways are:
4*3*2*1=24
Then the probability that the combined value of the four coins randomly selected with replacement will be $0.41 can be calculated as:
P=24/256=0.09375
Answer: Table 3
A table of values x and y represents a linear function,
if the change in x is always proportional with the change in y:
For example:
x changes from 1 to 2, y changes from -3 to -5
that is, a change of 1 in the x-es, is a change of +2 in the y's.
x changes from 2 to 4, y changes from -5 to -9
that is, a change of 2 in x, is a change of +4 in the y's.
1, 2 and 2, 4 are proportional
Another way we can check that Table 3 is the only one representing a linear function, is the constant change in y:
as x takes the values : 1, 2, 3, 4, y becomes -3, -5, -7, -9
that is, a constant change of 1 in the x-es, means a constant change of +2 in the y's
<h3>
Answer: 2n - 2</h3>
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Explanation:
The terms cancel out because
The n terms combine to
5n + (-3n) = 5n - 3n = 2n
Lastly, the constants combine to
-6 + 4 = -2
Overall we have 2n - 2 as the simplified result.
Answer:
A. All motion is relative to the frame of reference chosen for measurement.
Step-by-step explanation:
Student 1 riding in the car is going at a certain speed. He sees the bus going a bit faster, so he thinks the bus is going at 20 km/h because to him, since he is also moving, it seems that the bus is only a little faster. Student 2 is on the sidewalk standing. He is not moving. When he sees the bus moving, the bus seems to be going fast because he is not moving. He estimates the speed of the bus to be 50 km/h.
The difference in estimates is due to their frames of reference.
Answer: A. All motion is relative to the frame of reference chosen for measurement.