1.If sin = 12, and is in QI, find sec data .
2.Given cos =35 , is in QIV, find csc data.
3.Find the exact values of the circular functions whose =-3π/4.
a) If 28 counters are a whole set, how many are there in five sevenths of the set?
b) If 32 counters are four fifths of a set, how many counters are in a full set? Illustrate the your answer.
express the null hypothesis and alternative hypothesis in notation form of the scenario " it is believe that we that the mean yearly salary of professors in the philippines is 480,000.00 p pesos. a random sample of 65 professors revealed a mean salary of 500,000.00 pesos. can it be concluded the the mean salary is greater than 480,000.00 pesos? give the solution
2. State at least 2 application of cryptography in engineering.
between 0 and 0.47
Higher order linear ordinary differential equation
• Homogeneous linear ODE
• Homogeneous linear ODE with constant cofocient
• Non homogeneous linear ODE
Defects in a certain wire occur at the rate of one per 10 meter. Assume the defects have a Poisson distribution. What is the probability that: (a) a 20-meter wire has no defects? (b) a 20-meter wire has at most 2 defects?
Question.1:
An adult has on average 5.4 liters of blood. Assume the variable is normally distributed and has a standard deviation of 0.4. Find the percentage of people who have less than 5.7 litres of blood in their system.
Question.2 :
The average annual salary for all U.S teachers is $ 48,675. Assume that the distribution is normal and the standard deviation is $ 4995. Find the probability that a randomly selected teacher earns:
(i) Between $36000 and $42000 a year.
(ii) More than 40,000 a year.
Question.3:
The average daily jail population in the U.S is 706,242. If the distribution is normal and the standard deviation is 52,145, find the probability that on a randomly selected day the jail population is:
(i) Greater than 750,000
(ii) More than 600,000 but not more than 700,000
1) A random sample is drawn from a population of known standard deviation 10. Construct a 90% confidence interval for the population mean based on the information given n = 36 𝑥 = 100
Determine the present value of INR 2500 invested today assuming a rate of return of 10%.Compute- the Present value received one year from now, received at the end of 5 years, received at the end of 10 years. Discuss with reason, which of the three value, is the lowest one