Answer:
p = x² − 6x + 10
Step-by-step explanation:
Complex roots come in conjugate pairs. So if 3−i is a root, then 3+i is also a root.
p = (x − (3−i)) (x − (3+i))
p = x² − (3+i)x − (3−i)x + (3−i)(3+i)
p = x² − 3x − ix − 3x + ix + (9 − i²)
p = x² − 6x + 10
You can check your answer using the quadratic formula.
x = [ -b ± √(b² − 4ac) ] / 2a
x = [ 6 ± √(36 − 40) ] / 2
x = (6 ± 2i) / 2
x = 3 ± i
Answer:
72 doctors recommended the medicine
Step-by-step explanation:
The question above is interpreted thus.
9 out of 10 implies 9/10. If 80 doctors were surveyed, the number of doctors that recommended the medicine is 9/10 of 80 doctors. Therefore,





Therefore, in a survey where 9 out of 10 doctors recommended a certain medicine; and 80 doctors were surveyed, 72 doctors recommended the medicine.
Answer:
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Answer:
The diameter is 14
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
We know the area is 49 pi
49 pi = pi r^2
Divide each side by pi
49 pi/ pi = pi r^2/pi
49 = r^2
Take the square root of each side
sqrt(49) = sqrt(r^2)
7 =r
We want the diameter
d = 2r
d = 2*7
d = 14
The required probability of success is given by 0.98906500
Assume the random variable X has a binomial distribution with the given probability of obtaining a success.
P(X<5), n=6, p=0.3
<h3>What is binomial distribution?</h3>
In binomial distribution for number trials we are investigating the probability of getting a success remain the same.
n = number of trails,
p = probability of success
x = the number of success
p(x<5) = P(x=0)+ p(x=1) + p(x=2)+p(x=3)+p(x=4)
= 
p(x<5) = 0.98906500
Thus the required probability of success is given by 0.98906500
Learn more about Binomial distribution here:
brainly.com/question/14565246
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