Answer:
The mode of the data set is 4.
Step-by-step explanation:
Hey there!
The <u>mode</u> of a data set is the most commonly occurring data value in that set.
To begin, we need to organize the data set in <u>increasing order</u>:
1, 1, 2, 3, 4, 4, 4, 6, 6, 10
Then, we can tally the <u>frequency</u> of each data value occurring in the data set:
1 - II
2 - I
3 - I
4 - III
6 - II
10 - I
We can see that there are three occurrences for the data value 4 — which is the most frequent occurrence — so 4 is our answer.
Learn more about <u>mode</u> here: brainly.com/question/11163338
Answer:
Step-by-step explanation:-
To find the midpoint, the equation we use is:-
x1 = 10
x2 = 5
y1 = 7
y2 = 4
Substituting the values in the equation, we get:-
Coordinates of the midpoint--->
9514 1404 393
Answer:
23, 49
Step-by-step explanation:
Let s represent the smaller of the two numbers. Then the larger is s+26, and the sum is ...
s + (s+26) = 72
2s = 72 -26
s = (72 -26)/2 = 23
Then the larger number is
s +26 = 49
The two numbers are 23 and 49.
_____
The reason we wrote the solution this way is to show you that the smaller number is half the difference between the given sum (72) and difference (26). This is the generic solution to a "sum and difference" problem. The smaller number is always half the difference of the give sum and difference. (Similarly, the larger is always half the sum of the given sum and difference.)
That is, the two numbers are always half the sum ± half the difference:
72/2 ± 26/2 = {36+13, 36-13} = {49, 23}
You are correct for the first part, you would be 16 and your Mom would be 44. After 8 years, you would be 24 and your mother would be 52. You solve the second part by adding 8 to 16 which equals 24. Then multiply 24 times 3 which equals 72. Lastly, subtract 20 from 72 to find your mother's new age. Which would be 52.
Hope this helps !
Answer: If the dimension of V is n, then V has n elements.
Now, dim(U) + dim(W) = n, this means that the addition of the dimensions of U and W also has n elements.
and because U and W are subspaces of V, you know that every element on U and W is also an element of V.
If U ∩ W = ∅, means that there are no elements in common between U and W.
Because there are no elements in common, then Dim(U) + Dim(W) = dim(U ∪ W) = n
So U ∪ W has the same number of elements as V, and every element of W and U is also an element of V
this means that U ∪ W = V.
