Answer: 0.3023
Step-by-step explanation:
86 band members
26 are senior, 17 plays trumpet. If 4 are seniors and play trumpet, we solve this using the bayes theorem of conditional probability.
Probability of choosing band member that plays trumpet =17/86 = 2/43.
Probability of choosing a senior that plays trumpet = 4/26
Probability that a chosen member is a senior given that he plays trumpet = (2/43)/(4/26)
= 0.3023.
I remember answering the same question, but you didn't attach any photos. But I remember that the answer is the first one.
I hope I helped. Stay safe and God bless!
- Eli <3
Answer:
y=3/4x-7
Step-by-step explanation:
(0,-7) is the y-intercept
3/4 is the slope
y=mx+b
m is the slope
b is the y-intercept
plug it in:
y=3/4x-7
please mark brainliest!
Answer:
(a) 
Multiplicative inverse of w will be 
(B) As w is same as the product of 
So there multiplicative inverse will also be same
Step-by-step explanation:
We have given two complex numbers
and 
(a) First we have to find 
So 
As we know that 
So
Multiplicative inverse :
It is that number when multiply with the number which we have have to find the multiplicative inverse gives result as 1
So multiplicative inverse of w will be
Because when we multiply 
with it gives result as 1
(b) As w is same as the product of
So there multiplicative inverse will also be same
Answer:
the answer is 2 + i.
Step-by-step explanation:
Let the square root of 3 + 4i be x + iy.
So (x + iy) (x +iy) = 3 +4i
=> x^2 + xyi + xyi + i^2*y^2 = 3 + 4i
=> x^2 – y^2 + 2xyi = 3 + 4i
Equate the real and complex terms
=> x^2 - y^2 = 3 and 2xy = 4
2xy = 4
=> xy = 2
=> x = 2/y
Substitute in
=> x^2 - y^2 = 3
=> 4/y^2 - y^2 = 3
=> 4 – y^4 = 3y^2
=> y^4 + 3y^2 – 4 = 0
=> y^4 + 4y^2 – y^2 – 4 =0
=> y^2(y^2 + 4) – 1(y^2 + 4) =0
=> (y^2 – 1) (y^2 + 4) =0
Therefore y^2 = 1, we ignore y^2 = -4 as it gives complex values of y.
Therefore y = 1 and x = 2/1 = 2
The required square root of 3 + 4i is 2 + i.
