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Consider an electric circuit with an inductance of 5 henries

and a resistance of 12 ohms in series with an e.m.f 120sin200t

volts. Find the current


A teacher wants to know if listening to KPop music



affects the performance of his students in mathematics. A



class of 30 students were selected in the experiment. The



mean score was 81 and the standard deviation is 5. A



previous study revealed that u = 80 and the standard



deviation is 8. State the null and alternative hypothesis in



words and symbols

. How many grams of (g) can be stored in a 10.0 L container at 1000 kPa and 30C?


. How many grams of (g) can be stored in a 10.0 L container at 1000 kPa and 30C?



. How many grams of (g) can be stored in a 10.0 L container at 1000 kPa and 30C?



A ramdom sample of 18 bottles of 500-ml C-Softdrink had a mean content of 480 ml with a standard deviation of 4 ml, while sample of 14 bottles of 500-ml P-Softdrink had a mean content of 490 ml with standard deviation of 5 ml. Using 0.01 level of significance, can you say that C-Softdrink has lesser mean content than P-Softdrink

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.


Aunt Nellie is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cupcakes in pastel colors. Lowell Bakery charges $4 for each cupcake, plus $38 for the large cake. Gabby's Sweet Shoppe charges $60 for the large cake and $2 for each cupcake. If Aunt Nellie orders a certain number of cupcakes, the cost will be the same at either bakery. What would the total cost be? How many cupcakes would that include?


You are given a population of 3 elements,which are 3,4,5. Suppose all possible samples of size 2 are drawn from the population with replacement, compute for the following

a survey company, sws, claims that a majority of gen z voters prefer leni robredo as the next president over that of its main competitor, bongbong marcos. to test this claim 500 randomly selected people were surveyed. among them, 270 leni, 211 bbm, and 1919 could not make up their minds. determine whether there is sufficient evidence, at the 5% level of significance, to support the sws survey claim against the default that the population is evenly split in its preference. Show your calculations.


At a recent chess tournament, all 15 of the participants had to fill out a form that gave their names, address and age. The ages of the participants were recorded as follows: 36, 48, 54, 92, 57, 63, 66, 76, 66, 80, 82, 65, 39, 77, and 45. Use the data to construct a frequency table and histogram with 3 classes.


Classes | Class Boundaries | Frequency | Midpoint | Cumulative Frequency


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