What is the quotient? x + 1)3x2 − 2x + 7
2 answers:
We are dividing 
by (x+1).
According to the "Division algorithm":
P(x)=D(x)*Q(x)+R(x),
where P(x) is the dividend polynomial, D(x) is the divisor polynomial, Q(x) is the quotient polynomial and R(x) the remainder which must be of smaller degree than the divisor.
so
R(x)=c, a constant, because the divisor is a linear.
also notice that Q(x) must be a linear of the form 3x+a:
comparing the coefficients, we have:
-2=a+3 and 7=a+c
a=-5, then 7=-5+c, so c=-12
Answer: the quotient is 3x-5
According to the "Division algorithm":
P(x)=D(x)*Q(x)+R(x),
where P(x) is the dividend polynomial, D(x) is the divisor polynomial, Q(x) is the quotient polynomial and R(x) the remainder which must be of smaller degree than the divisor.
so
R(x)=c, a constant, because the divisor is a linear.
also notice that Q(x) must be a linear of the form 3x+a:
comparing the coefficients, we have:
-2=a+3 and 7=a+c
a=-5, then 7=-5+c, so c=-12
Answer: the quotient is 3x-5
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Answer:
a) P(X > 10) = 0.6473
b) P(X > 20) = 0.4190
c) P(X < 30) = 0.7288
d) x = 68.87
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
In which is the decay parameter.
The probability that x is lower or equal to a is given by:
Which has the following solution:
The probability of finding a value higher than x is:
Mean equal to 23.
This means that
(a) P(X >10)
So
P(X > 10) = 0.6473
(b) P(X >20)
So
P(X > 20) = 0.4190
(c) P(X <30)
So
P(X < 30) = 0.7288
(d) Find the value of x such that P(X > x) = 0.05
So