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in a study conducted by national telecommunication commission (NTC), the average internet speed of Philippines is 10.5 mbps and standard deviation of 1.1mbps. what is the probability that a random sample of 100 user will have combined Internet speed between 8.4 mbps and 9.4 mbps

1. Find the 99th percintile of the normal curve.



2. Find the upper 5% of the normal curve.



3.Find the 92nd percintile rank of the normal curve.

Find the probabilities using the normal distribution



1. P (0 <z <1.96)


2. P (z> -1.43)


3. P (1.12 <z <1.43)


4. P (-1.23 <z <0)

n=5,u overline x =183. sigma overline x =4.5

In a large region, there are 450 farmers. 250 pounds of farm beetroot, 110 pounds of farm yams, 75 pounds of farm radish, 45 pounds of farm beetroot and radish, 40 pounds of farm yams and radish, and 30 pounds of farm beetroot and yams Let B, Y, and R represent the farms that grow beets, yams, and radish, respectively.


Determine the number of farmers that farm beetroot, yams, and radish.


Arturo started to deposit 2,000 monthly in a fund that pays 8% compounded quarterly how much will be in the fan after 20 years

Consider all samples of size 2 from the population 2,5,6,9,11 and 13. Compute the mean, the variance of the sampling distribution of the sample mean

Directions: Read each statement carefully, show your complete solution if needed.



1. Write out all functions f: (1,2,3) – (a,b) (using two


- line notation). How many Function are there? How many are surjective? How many are bijective?



2. For each function give below. Determine whether or not the function in injective and whether or not the function is surjective.


(a) f: N – N given by f(n) = n + 4


(b) f: Z – Z given by f(n) = n + 4


(c) f: Z – Z given by f(n) = 5n – 8

ACTIVITY IN BASIC CALCULUS

BASIC RULES IN DERIVATIVE


 Complete the blanks of the given function below with a number (except 0 and 1) to create your own problem and find the derivative of the function. Show your complete solution to each problem.

 

1. f(x) = -4x5+ ______x-4 - 2468


2. f (x) =____x-3- _____x1/4 - 12x


3.f(x)= ____ "\\sqrt[4]{x}" "\\sqrt[4]{x^3} - \\underset{x^6} + \\frac{2}{3} x^6"


4.f (x) = "\\underset{x^-6}{=} -" ____ x2 + "\\sqrt[4]{x}"


.Let A = {1, 2, 3, 4, 5} and B = {0, 3, 6}. Find a) A ∪ B. b) A ∩ B. c) A − B. d) B − A


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