Math Answers

1.   The sequence {Un} is defined by the first term u1=-2 and the recurrent relation : Un+1=Un/4 +3

a.   Evaluate U2,U3,U4

b.    Consider  the sequence Vn such that Vn=Un+1-Un for n>=2

c.    Prove that {Vn} is a G.P 

d.   Express Vn  and Un  in terms of n.

e.     Evaluate the limits of  Un and Vn  

f.    Is Un an increasing  or decreasing sequence ? 

If a➡️ <a1,a2,a3>, b➡️ <b1,b2,b3> are two vectors in space

         Write down the formula of the cross product of these vectors and show all calculation.

Suppose that we will take a random sample of size n from a population having mean u and standard deviation o. For each of

the following situations, find the mean, variance, and standard deviation of the sampling distribution of the sample mean X:

a. μ = 10, o=2, n = 25

b. μ=500, o=.5, n = 100

C. μ=3, o =., n=4

d. μ= 100, o=1, n = 1,600

What will I do here if the mean and stdv is already given? TT sorry I am confused

If Scores are normally distributed with a mean of 30 and a standard deviation of 5. What percent score is.

a.) Equal or greater than 30?

b.) Equal or greater than 37?

c.) From 28 to 34?

The average height of 12 children is 124.7 with a standard deviation of 7.5. Assuming

that the heights are normally distributed, what percent of the students have a height of

132.2 and longer?

X-N(45, variance) and p(x>51)=0.288 find standard deviation

Assuming that the samples come from normal distributions, find the margin of error E given the following.

2. n=150, x-=98, s=9.90, 95% confidence.

3. n=350, x-=125, s=11.18, 99% confidence.

4. n=500, x-=236, s=15.36, 90% confidence.

5. n=785, x-=459, s=21.42, 99% confidence.

If 20 candidates appear in a competitive exam. Then show that there exist at least 2 students among them whose roll number differ by a multiple of 19.

Members of the urban poor receive an average of ₱110 per day with a standard deviation of ₱20. If a random sample of 25 people is taken, what is the approximate mean of the sampling distribution?

Members of the urban poor receive an average of ₱110 per day with a standard deviation of ₱20. If a random sample of 25 people is taken, what is the approximate mean of the sampling distribution?