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Two boats 1200 feet apart measures an angle of elevation of 35 degree and 42 degree to the top of a lighthouse. how tall is the lighthouse?
Dr. Grey would like to place her savings into two different investments; moonlife financial at 7% and womanulife financial at 12% interest rates per annum. She invested part of her savings on both companies and found out that she still has php 125,000.00 left in her savings. When she calculated the expected interest at the end of the year, the total interest from both investment would only be php 7,500.00. Hence, she decided to double her original investment in womanulife and was left with only Php 5.000.00 in her savings. How much was her total savings and how much did she originally invested in both companies?
Show that the function f defined by f(x) =1//x^2 is uniformly continuous on [5 ,∞].
Using principle of induction, prove that 64 is a factor of 3^(2n+2)- 8n-9
− − ∀ ∈ N
If the population size is equal to 5 and the sample size is equal to 3. How many possible sample can be drawn using the formula of without replacement?
If the population size is equal to 3 and the sample size is equal to 5. How many possible samples can be drawn using the formula of with replacement?
A group of students got the following scores in an achievement test:9,12,15,18,21 and 24 . consider the sample of size 3 that can be drawn from this population. Construct a sampling distribution of the resulting means and find the probability
A group of students got the following scores in an achievement test: 9,12,15,18, 21, and 24. Consider samples of size 3 that can be drawn from this population.
B.Construct a sampling distribution of the resulting sample means
SAMPLE MEANS FREQUENCY
PROBABILITY
A set S of vectors in R4 is given. Find a subset of S that forms a basis for the subspace of R4 spanned by S.
V1= (3,3,-6,9) V2=(2,30,-60,38) v3=(4,32,-64,44)
A basis for the subspace is given by___?
1. Given A = {2, 4, 6, 8} and B = {3, 4, 5, 6}, determine:
a. A U B
b. A ∩ B
2. Given A = {3, 5, 7, 9} and B = {4, 5, 6, 7}, determine:
a. A - B
b. B - A
c. A ∩ B
#339914 on Dec 2023