Well then multiply 400 x 142 and get your answer of 56,800
<span>50-8t<90
50-90<8t
-40<8t
8t>-40
t>-5
Solutions should go to the right.
Mary probably was solving it as following
</span>50-8t<90
<span>-8t<90-50
-8t<40 (here, when she divided both sides by -8, she had to change sign < to the sign >)
But she did not change the sign, and got
t<-5
</span>
Answer:
<h2>0.035</h2>
Step-by-step explanation:
This problem is on probabilty since there are a number of entries to be selected from which are 85 entries, the chances of winning one of the prices if selected is
the number of entries you have/ total number of entries
given that the total entry is 85
and that you have one entry
Since there are three gift baskets you have three chances to win one.
hence there will be a total of three draws, and after each draw, there won't be a replacement of the previous winner (as the winners are three distinct persons).
Hence the probability of winning a draw for the gift basket is
=1st draw+2nd draw+3rd draw
= 1/85+1/84+1/83
= 0.0117+0.0119+0.012
= 0.035
Answer: 1/4
Step-by-step explanation:
Answer:
Orthogonal.
Step-by-step explanation:
Given:
u = <10, 0>
v = <0, -9>
In unit vector notation, the above vectors can be re-written as:
u = 10i + 0j
v = 0i - 9j
Now, note the following:
(i) two vectors, u and v, are parallel to each other if one is a scalar multiple of the other. i.e
u = <em>k</em>v
or
v = <em>k</em>u
for some nonzero value of a scalar <em>k.</em>
(ii) two vectors are orthogonal if their dot product gives zero. i.e
u . v = 0
Let's use the explanations above to determine whether the given vectors are parallel or orthogonal.
(a) <u>If parallel</u>
u = k v
10i + 0j = k (0i - 9j) ?
When k = 1, the above equation becomes
10i + 0j ≠ 0i - 9j
When k = 2,
10i + 0j ≠ 2(0i - 9j)
10i + 0j ≠ 0i - 18j
Since we cannot find any value of k for which u = kv or v = ku, then the two vectors are not parallel to each other.
(b) <u>If Orthogonal</u>
u.v = (10i + 0j) . (0i - 9j)
[<em>multiply the i components together, and add the result to the multiplication of the j components</em>]
u.v = (10i * 0i) + (0j * 9j)
u.v = (0) + (0)
u.v = 0
Since the dot product of the two vectors gave zero, then the two vectors are orthogonal.
