Math Answers

What is mean by logic

A rivet is to be inserted into a hole. If the Standard deviation of hole diameter exceeds

0,01mm, there is an unacceptably high probability that the rivet will not fit. A random sample

of n=15 part is selected and the hole diameter is measured. The sample Standard deviation of

the hole diameter measurements is s=0.008mm. Is there strong evidence to indicate that the

standard deviation of hole diameter exceeds 0.01mm? Use α=0.01

A particular brand of diet margarine was analyzed to determine the level of polyunsaturated

fatty acid (in percent). A sample of 6 packages resulted in the following data: 16.8, 17.2, 17.4,

16.9, 16.5, 17.1.Test the hypothesis Ho: µ=17 against H1: µ ≠ 17 using α=0.01.

The function f defined by f(x) = tan(2x) is a periodic function with period π. ii) The function 𝑓:𝑹 → 𝑹, defined by 𝑓(𝑥) = 1 − |𝑥| is differentiable at x=1. iii) The function 𝑓: [3,4] → 𝑹 defined by 𝑓(𝑥) = 𝑥 ଶ − 𝑥 is monotonic in its domain. iv) Every continuous function is differentiable. v) Every curve over R has a point of inflection. 

If y is not zero and x, y belongs to Q then prove that x/y belongs to Q

F (×) = x⁴ - x³ -2ײ

Find the intersection of the line and plane:

3y−x+z=−4,r(t)=⟨−1,2,1⟩+t⟨−2,−3,1⟩

3y−x+z=−4,r(t)=⟨−1,2,1⟩+t⟨−2,−3,1⟩

P=(

P=(  , , )

Find aba^-1 where (I) a= 5,7,9 b=1,2,3 (ii) a= (1,2,5)(3,4) b=(1,4,5)

Let G be the group of order 11^2: 13^2.how many 11 sylow subgroup and 13 sylow subgroup are in G?

It is known that 55% of students in Mr. ERIZ’s class are hardworking person. A sample of 15 students was selected for interview.

a) What is the distribution of these 15 students selected for interview? Justify your answer.

(6 Marks)

b) What is the probability that in a sample of 15 students, less than 45% of them are hardworking person? (6 Marks)

c) What is the probability that in a sample of 15 students, more than 45% of them are hardworking person