Answer:
53.57%
Step-by-step explanation:
We have to calculate first the specific number of events that interest us, if at least 3 are girls, they mean that 2 are boys, therefore we must find the combinations of 3 girls of 5 and 2 boys of 3, and multiply that, so :
# of ways to succeed = 5C3 * 3C2 = 5! / (3! * (5-3)!) * 3! / (2! * (3-2)!)
= 10 * 3 = 30
That is, there are 30 favorable cases, now we must calculate the total number of options, which would be the combination of 5 people from the group of 8.
# of random groups of 5 = 8C5 = 8! / (5! * (8-5)!) = 56
That is to say, in total there are 56 ways, the probability would be the quotient of these two numbers like this:
P (3 girls and 2 boys) = 30/56 = 0.5357
Which means that the probability is 53.57%
Answer:
A. 6
Step-by-step explanation:
pretty sure its right
Answer:
π
2
,
3
⋅
π
2
,
3
⋅
π
4
,
7
⋅
π
4
Explanation:
Factorizing your equation we get
cot
(
x
)
=
0
so
cos
(
x
)
=
0
we get the following Solutions in the given interval
x
=
π
72
or
x
=
3
π
2
for the second case we get
cot
(
x
)
=
−
1
so
cos
(
x
)
=
−
sin
(
x
)
and we get
x
=
3
π
4
or
x
=
7
π
4
Hint:
To get the Solutions of the last equation you can use
√
sin
(
x
+
π
4
)
=
0
Step-by-step explanation:
-4/6 times 2 is -8/12
x - 8/12= x + 2/12
0=10/12
0=5/6
but since 0 does not equal 5/6, this will be no solution
Answer/Step-by-step explanation:
A. 
Using b = 2
Using b = 4
Using b = 6
Using b = 8
Using b = 10
Using b = 2
B. 
Using x = 3
Using x = 5
Using x = 7
Using x = 9
Using x = 11
Using x = 13
C. 
Using a = 2
Using a = 3
Using a = 4
Using a = 5
Using a = 6
Using a = 7
D. 
Using y = 2
Using y = 3
Using y = 5
Using y = 10
Using y = 8
Using y = 6
