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suppose that A,B,C and D are matrices with the following sizes: A(5 x 2) B(4 x 2) C(4 x 5) D(4 x 5)
determine in each of the following case whether a product is defined. if it is so then give the size of the resulting matrix.
i) BD
ii) AC - B
iii) DC + A
A taxi driver claims that his average monthly income is Php 2, 800.00 with a standard deviation of Php 250.00 . A sample of 25 drivers were surveyed and found that their average monthly income is Php 3,500.00with a standard deviation of Php 350.00.Test the hypothesis at 1% level of significance.
A. Solve the problems by following the steps and procedures in hypothesis testing. (20 points)
1. A school teacher suspects the claim that the mean number of students that use library
materials in a certain school is at most 450. To check the claim, the professor checks a
random sample of 100 library records and obtain that the mean number of students
using library materials is 458 with a standard deviation of 9. What would the teacher's
conclusion use 0.05 level of significance? (10 points)
2. prospective MBA student was made to estimate the difference in the salaries of
professors in private and state universities. An independent study of simple random
samples of the most recent MBA graduates of both universities revealed the following
statistics: Conduct a test using 0.01 level of significance. (10 points)
Salary x¯ s n
Private 52,285/mo. 2,400 49
State 50,188/mo. 2,100 49
The head of the mathematics department announced that the mean score of Grade 11 students in the second periodic test in statistics was 89, And a standard deviation was 12. One student believed that the main score was less than this, So the student randomly selected 34 students and computer do you mean score, And obtained I mean score of 85. At 0.01 level of significance, Construct the critical regions.
The vector is given by R=3i+4j-5k find the magnitude of the xy component and the angle between R and xy axis
Find the areas under the normal curve in each of the following cases: (2pts. each)
1. Between z = 0 and z = 1.63 2. Between z = 0 and tau = 0.98
3. To the right of z= 0.29
4. To the left of
5. Between z=-1.56 and z=-1.83
z = - 1.39
The head of the mathematics department announced that the mean score of grade 11 students in the second periodic test in statistics was 89, and the standard deviation was 12. One student believed that the mean score was less than this, so thre student randomly selected 34 students and computed their mean score, and obtained a mean score of 85. At 0.01 level of significance, construct the critical regions.
Consider a situation that a user wants to print first n (any value, e.g. first 10) numbers of Fibonacci series.
You need to implement a program that gets a number from user and prints first n Fibonacci series
numbers. Write a function for this purpose that prints Fibonacci series recursively. This function should
accept a number in parameter and then print n number of elements of Fibonacci series
An integer is said to be a perfect number if the sum of its divisors, including 1 (but not the number itself),
is equal to the number. For example, 6 is a perfect number, because 6 = 1 + 2 + 3. Write a function
isPerfect() that determines whether parameter number is a perfect number. Use this function in a
program that determines and prints all the perfect numbers between 1 and 1000. Print the divisors of
each perfect number to confirm that the number is indeed perfect. Challenge the power of your computer
by testing numbers much larger than 1000.
A parking garage charges a $2.00 minimum fee to park for up to three hours. The garage charges an
additional $0.50 per hour for each hour or part thereof in excess of three hours. The maximum charge for
any given 24-hour period is $10.00. Assume that no car parks for longer than 24 hours at a time. Write a
program that calculates and prints the parking charges for each of three customers who parked their cars
in this garage yesterday. You should enter the hours parked for each customer. Your program should print
the results in a neat tabular format and should calculate and print the total of yesterday’s receipts. The
program should use the function calculateCharges() to determine the charge for each customer. Your
outputs should appear in the following format:
Car Hours Charge
1 1.5 2.00
2 4.0 2.50
3 24.0 10.00
TOTAL 29.5 14.50
#339914 on Dec 2023