Evaluate the given expression for x = 4 and y= 3. 7x2 + 6xy + 6y?The answer is: _____
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
We are given the equation:
First, we can divide everything by 2:
Notice that we have an equation in quadratic form. Namely, if we make a substitution where u = sin(x), we acquire:
Solve for u. Factor:
Zero Product Property:
Solving for both cases:
And by substitution:
For the first case, recall that sin(x) is -1/2 for every 7π/6 and every 11π/6. Hence, for the first case, our solutions are:
Where n is an integer.
For the second case, sin(x) is -1 for every 3π/2. Thus:
All together, our solutions are:
Answer:
(a) 0.28347
(b) 0.36909
(c) 0.0039
(d) 0.9806
Step-by-step explanation:
Given information:
n=12
p = 20% = 0.2
q = 1-p = 1-0.2 = 0.8
Binomial formula:
(a) Exactly two will be drunken drivers.
Therefore, the probability that exactly two will be drunken drivers is 0.28347.
(b)Three or four will be drunken drivers.
Using binomial we get
Therefore, the probability that three or four will be drunken drivers is 0.3691.
(c)
At least 7 will be drunken drivers.
Therefore, the probability of at least 7 will be drunken drivers is 0.0039.
(d) At most 5 will be drunken drivers.
Therefore, the probability of at most 5 will be drunken drivers is 0.9806.