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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.”?
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The equilibrium mixture is found to contain 0.07,0.11,0.03 and 0.03 moles of CO,H2CH4 and H2O respectively for the reaction: CO(g) +3H2(g)O CH4(g)=H2O(g).
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
The table below shows the time in hours (𝑥) spent by six (6) students in playing
Clash of Clansand the scores of these students got on a math test. Solve for
Pearson Product Correlation Coeffcient. Construct a Scatter Plot.
𝑥 1 2 3 4 5 6
𝑦 30 25 25 10 15 5
A 400 mL buffer solution was prepared by reacting sodium acetate, CH3COONa, with 1.00 M acetic acid, CH3COOH, with a pH of 4.56 Calculate the mass of CH3COONa required to prepare the solution. Ka CH3COOH= 1.75 x 10-5
#339914 on Dec 2023