Answer:
To the nearest hundredth, 2.85
To the nearest hundred, zero
Step-by-step explanation:
Since the largest size of one of the dimensions is 10.5, it has to correspond with the long side of the card, the 5 in. side. To find the proportion of the sides, divide 10.5 by 5. Then, multiply the other side of the card by the quotient.
10.5/5 = 2.1
2.1 * 2 = 4.2
4.2in is the shorter side. Your question asks to round to the nearest tenths, the smallest place value of the answer is already the tenths place.
Hello!
Usually when finding the probability of two separate events you will multiply them together to find the compound event, or a combination of the outcomes of separate samples.
I hope this helps!
Answer:
9
Step-by-step explanation:
Let larger number be L
and
smaller number be S
The larger is 1 more than twice smaller, so we can write:
L = 1 + 2S
4 times larger is 9 times smaller, so we can write:
4L = 9S
Let's put 1st equation in 2nd and solve for S first:
4L = 9S
4(1 + 2S) = 9S
4 + 8S = 9S
S = 4
Now,
L = 1 + 2S
L = 1 + 2(4)
L = 9
The larger number is, thus, equal to 9
Answer:
E is not a subspace of
Step-by-step explanation:
E is not a subspace of
In order to see this, we must find two points (a,b), (c,d) in E such that (a,b) + (c,d) is not in E.
Consider
(a,b) = (1,1)
(c,d) = (-1,-1)
It is easy to see that both (a,b) and (c,d) are in E since 1*1>0 and (1-)*(-1)>0.
But (a,b) + (c,d) = (1-1, 1-1) = (0,0)
and (0,0) is not in E.
By the way, it can be proved that in any vector space all sub spaces must have the vector zero.