Search & Filtering
Find all Eigen values and corresponding Eigen vectors for the matrix A=
0 0 3
2 5 0
2 3 0
Where did you get the 116.64?
Show, by the use of the truth table (truth matrix), that the (p ∨ q) ∨ [(¬p) ∧ (¬q)] is a contradiction.
An industrial company claims that the mean pH level of the water in a nearby river is 6.8. You randomly select 19 water samples and measure their pH level. The mean and standard deviation are 6.5 and 0.25, respectively. Is there enough evidence to reject the company’s claim at a significance level of 0.05?
3. (a) Find the function’s domain,
(b) Find the function’s range,
(c) Find the boundary of the function’s domain,
(d) Determine if the domain is an open region, closed region, or neither, and
(e) Decide if the domain is bounded or unbounded.
(i) f(x, y) = xy
(iii) f(x, y) = ln(x^2+y^2-1)
Find and sketch the level curves f(x, y) = c on the same set of coordinate axes for the given values of c.
(a) f(x, y) = xy, c =, 0, 1.
(b) f(x, y) = . whole root of 25-x^2-y^2, c=1,2
1. Find the specific function values f(x, y) = x^2 + xy^3
(a) f(2, 3) (b) f(−3, −2)
Q1.a).A certain store has four ways of handling returns: cash refund, credit to account, exchange, or refusal. The manager claims that the four ways are equally probable.to test this hypothesis, 108 customers were sampled with the following results
Type
Cash
Credit
exchange
Refusal
Count
34
27
32
15
Does the data support the managers claim at 5 %. (6mks)
d) A random sample of size 36 was taken from a population distributed as Nμ,3.92.The value of the sample x was 15.6. i. Find a 90% confidence interval for μ. (5mks)
It is believed that value of μ is 17. Use your confidence interval to comment on this belief.(2mks)
- Using the provided information below,
x=33.2 , x2=131.67, y=30.78 , y2=116.52, xy=119.8 , and n=10
- Find the sample correlation coefficient r (4mks)
- Find the co-efficient of determination (2mks)
b). Seven students went on a diet in an attempt to lose weight, with two of them losing weight while all the others added weight. Is the diet is an effective way to losing weight α=1% (5mks)
c) Two judges in a beauty contest rank the ten competitors in the following order.
x 6 4 3 9 2 7 1 5 10 8
y 4 1 6 7 5 8 2 3 9 10
Do the two judges appear to agree in their standards? (6mks)
#340153 on Dec 2023