Answer: D
Step-by-step explanation: I said D because it's bigger than every other thing
We are given equation :
Therefore, final factored form it
We can't factor it more.
Therefore,
x+1=0.
x=-1.
Therefore, the real solution of the equation would be -1.
Answer: 210
<em>Step-by-step explanation: 70+70+70=210 and 40% for 210 students would add up to 120% of all students surveyed. Look if there is 70 students that's been surveyed that is 40% add 40% 3 times(40%+40%+40%)=120% of all students surveyed </em>
We are choosing 2
2
r
shoes. How many ways are there to avoid a pair? The pairs represented in our sample can be chosen in (2)
(
n
2
r
)
ways. From each chosen pair, we can choose the left shoe or the right shoe. There are 22
2
2
r
ways to do this. So of the (22)
(
2
n
2
r
)
equally likely ways to choose 2
2
r
shoes, (2)22
(
n
2
r
)
2
2
r
are "favourable."
Another way: A perhaps more natural way to attack the problem is to imagine choosing the shoes one at a time. The probability that the second shoe chosen does not match the first is 2−22−1
2
n
−
2
2
n
−
1
. Given that this has happened, the probability the next shoe does not match either of the first two is 2−42−2
2
n
−
4
2
n
−
2
. Given that there is no match so far, the probability the next shoe does not match any of the first three is 2−62−3
2
n
−
6
2
n
−
3
. Continue. We get a product, which looks a little nicer if we start it with the term 22
2
n
2
n
. So an answer is
22⋅2−22−1⋅2−42−2⋅2−62−3⋯2−4+22−2+1.
2
n
2
n
⋅
2
n
−
2
2
n
−
1
⋅
2
n
−
4
2
n
−
2
⋅
2
n
−
6
2
n
−
3
⋯
2
n
−
4
r
+
2
2
n
−
2
r
+
1
.
This can be expressed more compactly in various ways.
Answer:
56.44 degrees
Step-by-step explanation:
sin(measure of the angle)=10/12
sin^-1(sin(measure of the angle))=sin^-1(10/12)
measure of the angle=56.44
