The standard deviation of the y(t)=3 sin(20rtt) is: 1.0606. O 2.1213. O 1.6062 O 2.2123.
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- Household electricity is supplied in the form of alternating current that varies from 155 V to -155 V with a frequency of 60 cycles per second (Hz). The voltage is thus given by the equation E(t) = 155 sin(120πt), where t is the time in seconds. Voltmeters read the RMS (root-mean-square) voltage, which is the square root of the average value of [E(t)]² over one cycle. (a) Calculate the RMS voltage of household current. RMS voltage = (b) Many electric stoves require an RMS voltage of 220 V. Find the corresponding amplitude A needed for the voltage E(t) = A sin(120πt). {\it A} =Suppose that P(A | B) = 0.71, P(A|B') = 0.82, and P(B) = 0.23. Determine P(BIA). Round your answer to three decimal places (e.g. 98.765). iI. Solve for Z and find its area1. Mean = 81, score: x = 71.5, standard deviation: σ = 9.2. Mean = 47, score: x = 55.6, standard deviation: σ = 4.3. Mean = 68, score: x = 78.8, standard deviation: σ = 6.4. Mean = 51, score: x = 69, standard deviation: σ =7.5. Mean = 85, score: x = 93, standard deviation: σ =5.6. The mean expenses of Dela Cruz Family is PhP12,600 every 15 days and thestandard deviation is PhP 1, 570., If the expenses are normally distributed, what isthe probability of consuming less than PhP 11,000 in 15 days?7. The mean production of factory workers is 10 finished products per hour, with astandard deviation of 1.5 products/hour. What is the probability of finishing: a.less than 12.8 products/hour? b. more than 12 products/hour?8. The mean weight of insects for laboratory experiments is 13.2 g, with the standarddeviation of 0.8 g. What is the probability of randomly selecting insects withweight of : a. 14 g? b. 13.1 to 13.6 g?9. The lifetime of CP batteries from a…
- P( z>1.31) =H.: µ = 47.6 and H, : µ < 47.6 where u = the mean age of teachers at Ravenwood High School. The calculated p-value is 0.023. What conclusion will you make at a = 0.10? O Reject the H. O Fail to reject the H. O Reject the H. O Fail to reject the Ha1. Consider the following data: -0.2 了(c)| 1.2840| 1.1052 |0.9048|0.7047 -0.5 0.2 0.7 a. Use Lagrange interpolation to approximate the value of f(0.5). b. Approximate (0.0) using the most suitable 3-points difference formula.