Answer:
5 is less than or equal to y
Step-by-step explanation:
3<=y-2
3+2<=y
5<=y
where <= means less than or equal to
The answer is yes but not if so
Find the Mean, Median, Mode & Range. If possible, round to the nearest tenth. 3, 8, 7, 2, 4, 8, 3, 4
Masja [62]
Answer:
Mean- 4.9
Median- 4
Mode- 3,4,8
Range- 6
Step-by-step explanation:
The mean of a sequence is the average amount. This is equal to all of the terms' sum divided by the number of terms. So, to find the mean add 2+3+3+4+4+7+8+8, which equals 39. Then, divide by 8 because that is the number of terms. Therefore, the mean is 4.9.
The median is the number in the middle of the sequence. To find the median order the sequence from least to greatest and find the middlemost number. In this case, that is 4.
The mode is the number that appears most often. In this sequence, 3, 4, and 8 all appear twice.
The range is the difference between the minimum and maximum. So, subtract 2 from 8 to get 6.
Answer: option 2 is the better option
Step-by-step explanation: well in this case as you are trying to find the individual prices of the candy bars, you would divide the total price by the amount of candy bars. So in this case for the first problem, you would take the total price: $6.75 and divide it by 10. The answer to this would be .675 but you would round it up to .68 so that you have a two digit decimal. Therefore the answer is .68 cents for each candy bar.
you would repeat this process for the second problem. Total price: $7.25 divided by 12 (candy bars). The answer in this problem would then be .60 cents per candy bar. Once we see how much each would be, it is just a matter of seeing which price is higher. In this case, the second option is the better option.
Sorry this was long, that's how i explain things, but i hope this helps
We have to evaluate the fourth roots of unity.
For each natural number say 'n', there are exactly 'n' nth roots of unity which is expressed in the form as
where k=0,1,2,.... n-1
Since we have to evaluate the fourth root of unity.
Therefore, we take k=0,1,2,3 and n=4
So, we get
Now, For k=0, we get our first root as:
First root = 1
Now, for k=1, we get
(Eulers Formula)
So,
So, second root = i
Now, for k=2, we get
(Eulers Formula)
So,
Third root = -1
Now, for k=3, we get
(Eulers Formula)
So,
So, fourth root = -i
Hence, all the fourth roots of unity are 1, i, -1 and -i
Therefore, option D is correct as all the given roots in option A, B and C are the fourth roots of unity.