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A. Four coins are tossed. Let X be the random variable representing the number of heads that occur. Find the values of the random variable X.



In building an arena, steel bars with a mean ultimate tensile strength of 400 megapascal (MPa) with a variance of 81 MPa were delivered by the manufacturer. The project engineer tested 50 steel bars and found out that the mean ultimate strenght is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypothesis whether there is no significant difference between the two means using a two - tailed with a = 0.01


Use the balanced equation to answer the following question. One Pansit has a

mass of 5.0 grams and one Siling Labuyo has a mass of 1.0 gram. How many

Hot Pansit can be made from 40.0 grams of Pansit and 26.0 grams of Siling

Labuyo?


What are the two premodifiers in the noun phrase "all three counts"?

A PURE SAMPLE OF SODIOUM FLORIDE CONTAINS 35g of sodium. how many grams of fluorine are present in this sample.


The average pre-school cost for tuition fees last year was Php. 17,250. The following year 20 institutions had a sample mean of Php. 16,150 and a standard deviation of Php. 2,250. At 0.90 level of confidence is there sufficient evidence to conclude that the mean cost has increased?


For the reaction: C(s) + H2O(g) ֖CO(g) + H2(g), what would be the effect on the



equilibrium system if H2O increases




For a continuous random variable that has a normal distribution with mean of 24 and a standard deviation of 6, find the area under the normal curve from 𝑥=18 and 𝑥=21.


Radio waves and gamma rays are parts of the electro magnetic spectrum. Which of the following is true about the energy carried by this waves




A. All electro magnetic waves carry the same energy



B. Radio waves carry the lowest energy since they have the lower frequency



C. Gamma rays carry the lowest energy since they have the lowest frequency



D. Radio waves carry the highest energy since they have the highest energy

Using the Sieve Algorithm remove all non-prime numbers on the given below. (Show your complete solution.)



1. 2 3 4 5 12 13 15 24 25 29 38 39 43 57 58 61



2. 2 3 4 5 103 104 105 106 107 108 109 110 111 112 113 114 115

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