Math Answers

Convert the following hexadecimal numbers to decimal numbers.

a) DE5₁₆

b) 2AB.4₁₆

Convert each of the following integers from binary notation to hexadecimal notation.

a) 101010101010

b) 111011101110111

Convert the following integers from decimal notation to binary notation.

a) 4532

b) 1023

if two coins and a dice are thrown at once, what is the probability of getting two heads and six or one tail, one head and a three?

A new car is purchased for 24800 dollars. The value of the car depreciates at 12% per year. What will the value of the car be, to the nearest cent, after 13 years?

1.determine the area and show this graphically

A. To the right of z=1.3

B. Between z=-1 and z=-2.3

2.find each of the following percentile points under the normal curve complete your procedure

A. P79

B. P90

A bus arrives every 10 minutes at a bus stop. It is assumed that the waiting time for a particular individual is a random variable with a continuous uniform distribution. What is the probability that the individual waits more than 7 minutes?

Can you conclude that A = B if A and B are two sets

with the same power set?

Find two different linear mappings which map imz>3 onto rez>3

7. In 1900, W. Y. Kevin published the article “The anticipated Error of a Mean”. In this pioneering paper, written under the pseudonym “Student,” Kevin introduced what later became known as Student’s t-distribution. Kevin used the following data set, which gives the additional sleep in hours obtained by a sample of 10 patients using laevohysocyamine hydrobromide.

1.9 0.8 1.1 0.1 −0.1

4.4 5.5 1.6 4.6 3.4

a. Obtain and interpret a 95% confidence interval for the additional sleep that would be obtained on average for all people using laevohysocyamine hydrobromide.

b. Was the drug effective in increasing sleep? Explain your answer.