Math Answers

What is the mean and standard deviation of the sampling distribution of the means. n=4

A survey of 100 university students found the following data on their food preferences:

•54 preferred American cuisine

•29 preferred Korean-style cooking

•16 preferred both American and Korean-style foods

•19 preferred both Korean-style and Filipino dishes

•10 preferred both American and Filipino cuisines

•5 liked them all

•11 did not like any of the options

How many students preferred:

1.Only Filipino food?

2.Only American food?

3.Only Korean-style food?

A survey of 100 university students found the following data on their food preferences:

Trace the following curves:

i) 𝑥(4𝑎

2 + 𝑦

2

) = 8𝑎

3

ii) 𝑦

2

(𝑥

2 + 𝑦

2

) + 𝑎

2

(𝑥

2 − 𝑦

2

) = 0

iii) 𝑎

2𝑦

2 = 𝑥

2

(𝑎

2 − 𝑥

2

)

iv) 𝑥 = 𝑡

2

, 𝑦 = 𝑡 −

𝑡

3

3

v) 𝑟 = 𝑎(1 + 𝑠𝑖𝑛𝜃)

vi) 𝑟

2 = 𝑎

2

𝑠𝑖𝑛2𝜃

vii) 𝑟 = 𝑎 𝑐𝑜𝑠3𝜃

viii) 𝑟 = 𝑎(1 + 𝑠𝑖𝑛𝜃)

Find the values of the 6 trigonometric functions of -(7π)/3

Find the values of the 6 trigonometric functions of tan 7π/3

Find the quadrant in which 𝑃(𝑡) lies if 𝑠𝑒𝑐 𝑡 > 0 and 𝑐𝑠𝑐 𝑡 < 0.

A population consists of the numbers 4,7,10,11, and 13

1.enumerate all possible samples of size 2 without replacement

2.construct a sampling distribution table and compute the mean of each sample.

3. find the mean of the population .show your solution

4.find the variance of the population .show your solution.

5.Find the mean of the sampling distribution of the sample means .show your solution.

6.find the variance of the sampling distribution of the sample means.show your solution

A population consists of the numbers 4,7,10,11 and 13

1.enumerate all possible samples of size 2 without replacement

I have 30 sweets and 15 chocolates in a basket,If I take five sweets out of the basket, what is the ratio (in it's simplest form) of the number of chocolates to the number of sweets left in the basket?