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Assume that the variable is normally distributed, the average time it takes a group of senior high school sidents to complete a certain examination is 40.2 minutes while the standard deviation is 8 minutes
What is the probability that a randomly selected senior high school students will complete the examination in less than 43 minutes? the given altuation, what words would give us a clue to the direction of the
curve or where the shaded part is located?
assuming that the sample come from the normal distributions find the margim of error. E given the following
B.n=16,X =50, s=4.2, 95% confidence
Give p //q,s and transversals.find the measures of all the other angles of m/_1=75 and m/_2=35
A company plans to promote a new product by using one of three advertising campaigns. To investigate the extent of product recognition from these three campaigns, 15 market areas were selected and five were randomly assigned to each advertising plan. At the end of the ad campaigns, random samples of 400 adults were selected in each area and the proportions who were familiar with new product were recorded. The responses were not approximately normal. Is there a significant difference among the three population distributions from which these samples came? Use an appropriate nonparametric method to answer this question at 5% level
of significance.
Campaign 1 -) 0.33, 0.29, 0.21, 0.32, 0.25
Campaign 2 -) 0.28, 0.41, 0.34, 0.39, 0.27
Campaign 3-) 0.21, 0.30, 0.26, 0.33, 0.31
4. Which has the higher annual yield, 6% compounded quarterly or 6.25% compounded semiannually?
3. A retired couple have a fixed income of P3500 per month. Assuming an annual inflation rate of 7%, what is the purchasing power of their monthly income in 5 years?
2. To help pay your college expenses, you borrow P7000 and agree to repay the loan at the end of 5
years at 8% interest, compounded quarterly.
(a) What is the maturity value of the loan?
(b) How much interest are you paying on the loan?
1. A P1000 is deposited for 5 years in an account that earns 9% interest.
(a) Calculate the simple interest earned.
(b) Calculate the interest earned if interest is compounded daily.
(c) How much more interest is earned on the account when the interest is compounded daily?
(D^3+2D^2D'-DD'^2-2D'^3)z=(y+2)e^x
Part I. Differentiation Rules on Algebraic Functions
Apply the appropriate differentiation technique/s to determine the derivative of the following algebraic functions.
- f(x)=x^(-6)+4x^3-10
- f(x)=5x^3-4/x^2
- y=√(5-2x)
- g(x)=(x^2-5x-7)(x^2-5)
- g(x)=(3x^2-4x+1)(2x-3)
- h(x)=(4x^3-2x+1)/(2x-3)
- h(x)=(4x+3)/(5x^2-3x+6 )
- y=(3x^2+2x-3)^3
- y=(5x+3)^2 (2x-1)
- y=(3x-2)^2/(4x+1)
Part II. Differentiation Rules on Trigonometric Functions and Higher-Order Derivatives
Apply the appropriate differentiation technique/s to determine the derivative of the following trigonometric functions.
- y=cos〗(x^2+3)
- y=sin〖(5x^2-7)〗
- y=cot(6x)
- y=tan(cosx )
- y=csc(5x^3 )
Find the first derivative, second derivative, and third derivative for each of the following functions.
- y=6x^4+3x^3-4x^2-1
- f(x)=(2x+3)^4
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#339914 on Dec 2023