Math Answers

Show that if 5/3< 2x< 11/3, then x∈{y∈R such that |y- 4/3| < 1/2}.

Check whether the sequence (an), where

an = 1/ (n+1) + 1/(n+2) +....+1/(2n) is convergent or not

From a committee of 10 people,

1. In how many ways can we choose a chairperson, a vice-chairperson, and a secretary, assuming that one person cannot hold more than one position?

2. In how many ways can we choose a subcommittee of 3 people?

3. Find the number of combinations of 13 objects taken 8 at a time.

4. How many 5-card hands will have 3 aces and 2 kings?

5. Serial numbers for a product are to be made using 2 letters followed by 3 numbers. If the letters are to be taken from the first 8 letters of the alphabet with no repeats and the numbers are taken from the 10 digits (0-9) with no repeats, how many serial numbers are possible?

6. A company has 7 senior and 5 junior officers. An ad hoc legislative committee is to be formed. In how many ways can a 4-officer committee be formed so that it is composed of

a. Any 4 officers?

b. 4 senior officers?

c. 3 senior officers and 1 junior officer?

d. 2 senior officers and 2 junior officers?

e. At least 2 senior officers?

a researcher reports that the average salary of a teacher php 27000 a sample of 32 teachers has a mean of php 29500 at a=0.01 test the claim that the co teachers earn more than php 27000 a months the standard deviation of the population is php 2 250

Which of the following is a parameter in the situation “A machine which has been regulated dispenses an average of 330 ml fruit concentrate per bottle. A random sample of 49 bottles filled by the machine has a mean content of 320 ml and a standard deviation of 50 ml.”?

A machine which has been regulated dispenses an average of 330 ml fruit concentrate per bottle. A random sample of 49 bottles filled by the machine has a mean content of 320 ml and a standard deviation of 50 ml.”?

A machine which has been regulated dispenses an average of 330 ml fruit concentrate per bottle. A random sample of 49 bottles filled by the machine has a mean content of 320 ml and a standard deviation of 50 ml.”?

Shown below are ages (𝑥) and the systolic blood pressures (𝑦) of 9 patients in a certain hospital. Find the regression equation.

Age (𝑥) 26 40 35 50 45 55 28 30 52

Blood pressure (𝑦) 110 140 120 145 130 150 150 125 142