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if | A| = -7 find x where A ( 3 X 2 1)
The gain of an amplifier is found to be G = 20 log(10Vout) Determine equations for: dG dVout d2G dVout?
A water heater is designed to last an average of 16 years,the lifetime of such a heater can be modelled by an exponential random variables X with lambda value of 0.0625, suppose a heater is selected at random ,,,
What is the probability the heater will last at least 5 years
Suppose the heater last for 5 years what is the probability it will last for the other 5 years
Compute a 95% confidence interval for the population mean, based on the numbers 1, 2, 3, 4, 5, 6, 20. Change the number 20 to 7 and recalculate the confidence interval. Using these results, describe the effect of an outlier (i.e., extreme value) on confidence interval.
Draw a cuboids given by the point (6,5,2). Explain the meaning of quadric surface. Sketch the graph of x^2/4 + y^2/9 =1 in three dimensions.
The length (in cm) of 12 fishes caught from a lake is given as follows:
9.8, 9.1, 9.1, 11.3, 10.7, 10.2, 10.1, 9.7, 9.9, 9.5, 10.4, 10.5
Assume the population follows a normal distribution with variance of 4 cm. Calculate the 99% confidence interval to estimate the true mean length for all fishes in that lake.
Translate the following statement into mathematical expression based on the given propositional variables.
“If a country’s leaders are elected based on good leadership traits, then the country will have good governance”.
p : A country’s leaders are elected based on good leadership traits.
q : The country will have a good governance.
q → pp → qp ⟷ qq ⟷ p
Which of the following is false about a proposition?
(¬p ∨ p) is a proposition.(¬p ∧ p) is a proposition.A predicate is not a proposition.c.(¬p ∨ ¬p) is a proposition.
Find the measure of central tendency.
1. The following table displays the age of female actors when they starred in their Oscar-winning best actor performance.
Age of best female actors award recipients, academy awards, 1980-2015
41 33 31 74 33 49 38 61 21 41 26 80
42 29 33 36 45 49 39 34 26 25 33 35
35 28 30 29 61 32 33 45 66 25 46 55
2. The following table displays the ages of male actors when they starred in their Oscar-winning best actor performance.
Age of best female actor award recipients, academy awards 1980-2015
40 42 37 76 39 53 45 36 62 43 51 32
42 54 52 37 38 32 45 60 46 40 36 47
29 43 37 38 45 50 48 60 43 58 46 33
An ambulance service claims that it takes on the average 8.9 minutes to reach its destination in
emergency calls. To check this claim, the agency which licenses ambulance services has them
timed on 50 emergency calls, getting a mean of 9.3 minutes
with a standard deviation of 1.6
minutes. What can they conclude at the level of significance of 0.05?
