Answer:
70.94 mm is the upper control level with a 99.7% level of confidence.
Step-by-step explanation:
We are given the following data:
69, 72, 71, 70, 68
Population mean = 70 mm
Population standard deviation = 1.25 mm
We have to find the upper control level with a 99.7% level of confidence.
99.7% Confidence interval:
Putting the values, we get,
Thus, 70.94 mm is the upper control level with a 99.7% level of confidence.
Answer:
n = 29 iterations would be enough to obtain a root of that is at most away from the correct solution.
Step-by-step explanation:
You can use this formula which relates the number of iterations, n, required by the bisection method to converge to within an absolute error tolerance of ε starting from the initial interval (a, b).
We know
a = -2, b = 1 and ε = so
Thus, n = 29 iterations would be enough to obtain a root of that is at most away from the correct solution.
<u>You can prove this result by doing the computation as follows:</u>
From the information given we know:
This is the algorithm for the Bisection method:
- Find two numbers <em>a</em> and <em>b</em> at which <em>f</em> has different signs.
- Define
- If then accept c as the root and stop
- If then set <em>c </em>as the new<em> b</em>. Otherwise, set <em>c </em>as the new <em>a</em>. Return to step 1.
We know that and so we take and then
Because we set as the new <em>b.</em>
The bisection algorithm is detailed in the following table.
After the 29 steps we have that hence the required root approximation is c = -0.50
Answer:
soh cah toa
to find a use sin =opp/hyp
sin 32=opp or a /hyp
sin 32*hyp=9.53
then to find b you can pythagorean theorem or just use cah or cos =adj/hyp
same process as above only using cos instead of sin
you get 15.3
then a^2+b^2=c^2
9.53^2+15.3^2=18^2 just to check or to use to find either a or b given c and either a or b
Step-by-step explanation:
Step-by-step explanation:
2x^2 + x - 28
= 2x^2 - 8x + 7x - 28
= 2x(x-4) +7(x-4)
= (2x+7)(x-4)
2x+7 = 0 or x-4 = 0
x = -7/4 or x = 4
Minus 2 degrees every hour
there are 4 hours
d=degrees dropped
- 2 x 4 = d