Math Answers

Find the equivalent acute angle of 13.5

Find the equivalent functional definition for each of the following and draw a graph of the function.

f(x)= x+|x|.

Find equivalent functional definition for each of the following and draw a graph of a function.

f(x)=2x -|x| + |x-1|

Prove that |a+b| - |a-b| ≤ 2|b|.

If F(u,v) = u-v/u+v, find F (1/u,1/v) + F (u,v).

If f(x) = log10 x, find f(1), f(10), f(5)

3) A social worker reports that 30% of workers in a factory are below 15 years of age. Of the 120 employees surveyed, 38 said they were below 15 years old. Using ? = 0.05, interpret the p-value.

2) A politician claims that she will receive 60% of the votes in the upcoming election. Of a random sample of 200 voters, there were 100 who will surely vote for her. Test the politician’s assertion at the 0.05 level of significance.

If h (θ) = cos²θ, find h(0), h (1/4π), h(1/2π)

A school administrator claims that less than 50% of the students of the school are dissatisfied

by the community cafeteria service. Test this claim by using sample data obtained from a survey of

500 students of the school where 54% indicated their dissatisfaction of the community cafeteria

service. Use 𝐠= 0.05.

1) Complete the table.

n X p₀ z p-value

a) 120 21 5%

b) 138 32 7%

c) 200 45 10%

d) 392 102 18%

e) 612 236 20%

f) 100 40 8%

g) 248 51 10%

h) 312 100 12%