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Reflect and foresee yourself 10 years from now, what will you become and how will your contribute towards society you have been part of?



Give your insights with a minimum of 5 sentences

In a class of 40 students 15 grew cabbage 10 lettuce 5 both Cabbage and lettuce the rest neither calculate the probability that a randomly selected from class grew cabbage

1. The average number of milligrams (mg) of cholesterol in a cup of a certain brand of ice cream is 660 mg, the standard deviation is 35 mg. Assume the variable is normally distributed.


a. If a cup of ice cream is selected, what is the probability that the cholesterol content will be more than 670 mg?



b. If a sample of 10 cups of ice cream is selected, what is the probability that the mean of the sample will be larger than 670 mg?



2.In a study of the life expectancy of 400 people in a certain geographic region, the mean age at death was 70 years, and the standard deviation was 5.1 years. If a sample of 50 people from this region is selected, what is the probability that the mean life expectancy will be less than 68 years?

Give the general pattern of the paramagnetic moments of lanthanoid ions with the help of graph.

A Particle of mass m in an one dimensional potential well represented by the following:



V(x)=−W=0|x|<a|x|>a




where W is a positive constant



Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings  Ink Drawings



1. What will be the energy of the bound state(s)?



2. Comment about the values of W and a



3. How many bound states are possible?

Levers are machines. Differentiate between three classes of levers. Provide appropriate examples.


Average college cost of tuition fee for all private institutions last year was P 36,400. A random sample of costs this year for 45 institutions of higher learning indicated that the sample mean was P 37,900 and sample standard deviation was P 5,600. At the 0.10 level of significance, is there sufficient evidence t0 conclude that the cost has increased?

A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects a sample of 40 taxis and finds the average age of the taxis is 8.2 years. The o if the population is 2.3 years. At a = 0.05, can it be concluded that the average age of the taxis in his company is less than the national average?


1. The number of Bacteria in a particular colony is found to double every 2.25 seconds. If the initial count of bacteria is 12500, what will be the population after 125 seconds?


2. The distance covered by a freefalling object under the action of constant action of gravitational field quadratically varies with time. In a time of 3.0 seconds, a free-falling object covers a 5.0-meter distance. what distance will it cover in 5.0 seconds?


A box contains (𝑥+1) red marbles, (2𝑥+4) yellow marbles, and (4𝑥−6) green marbles


(i)

Find an expression, in terms of 𝑥, for the total number of marbles in the box.


(ii)

A marble is drawn at random from the box. Write down an expression, in terms of 𝑥, for the probability that the marble is red.


(iii)

Given that probability in part (ii) is 1/5, find the value of 𝑥.



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