The next two terms in the arithmetic progression will be 15 and 21.
Based on the information given, the following can be deduced.
First term = 3
Second term = 9
Common difference = 9 - 3 = 6
The nth term of an arithmetic progression is given as: = a + (n-1)d
Therefore, 3rd term = a + 2d = 3 + 2(6) = 3 + 12 = 15
4th term = a + 3d = 3 + 3(6) = 3 + 18 = 21
The next 2 terms are 15 and 21.
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C = 150000 + 17n
where,
C = Total Cost per year = Fixed Cost + Variable Cost
n = Number of Widgets produced each year
17n = Variable Cost
150000 = Fixed Cost
Answer:
x = 14
Step-by-step explanation:
Extend line AB so that it intersects ray CE at point G. Then angles BGC and BAD are "alternate interior angles", hence congruent.
The angle at B is exterior to triangle BCG, and is equal to the sum of the interior angles at C and G:
138 = (376 -23x) +(x^2 -8x)
Subtracting 138 and collecting terms we have ...
x^2 -31x +238 = 0
For your calculator, a=1, b=-31, c=238.
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<em>Additional comment</em>
You will find that the solutions to this are x = {14, 17}. You will also find that angle BCE will have corresponding values of 54° and -15°. That is, the solution x=17 is "extraneous." It is a solution to the equation, but not to the problem.
For x=14, the marked angles are A = 84°, C = 54°.
<span>First we calculate z using the formula:
z = (x - μ)/σ</span>
Where:
x = our variable, 10
μ = mean, 8
σ = standard dev, 2
Substituting known
values:<span>
z = (10 - 8)/2
z = 2/2
z = 1
Using the tables of
the normal distribution to find the p-value with z = 1
p = 0.8413
Since we want
"greater than 10”, we need to subtract the probability from 1
therefore
p* = 1 - 0.8413 = <span>0.1587</span></span>
