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Compute the probabilities using the standard normal curve P(-1.89 < z < 1.68)
How many terms are there for the arithmetic sequence
28 , 25 , 22 , 19 , ⋯ , − 29 , − 32 ?
Blood flows in an aorta of radius 1.0 cm at 30cm/s. What is the volume flow rate?
The consumer price index (CPI) rose from 105.9 to 113.4, while Helen's net salary decreased 7.0 %. Calculate the relative real change in Helen's salary (purchasing power) as percentage.
The consumer price index (CPI) rose from 106.7 to 124.9, while Helen's net salary didn't change at all. Calculate the relative real change in Helen's salary (purchasing power) as percentage.
The net revenue of a company rose 3.6 %, while inflation rate was 3.0 %. Calculate the relative real change in revenue as percentage.
The officer's of the science club are planning to sell 125 tickets to be raffled during the school's foundation day . One ticket will win PHP 2,000 and the other tickets win nothing. If you buy one ticket, what will be your expected gain?
Determine the probability of drawing an even-numbered card or a card with a red suit from a standard deck of cards. Leave your answer in a reduced fraction.
Let A=[a b c ←Matrix
d e f
g h i]
where a, b, c, d,e, f, g, h, i are some real numbers, if det(A)=5 answer the following questions:
- Is A invertible? (Justify your answer). Find rank(A)
- Let b= [a+d b+e c+f ←Matrix
d e f
2g 2h 2i]
And, C= [a b c ←Matrix
-2d -2e -2f
3g 3h 3I ]
Compute det(B) and det(C).
(C) Compute det(A^-1) and det(adj(A)).
The sum of the first 3 terms of geometric sequence is 189 and the sum of the first 6 terms is 182.
