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Aunt Ellen 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. Georgetown Bakery charges $1 for each cupcake, plus $54 for the large cake. Kayla's Sweet Shoppe charges $27 for the large cake and $4 for each cupcake. If Aunt Ellen 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?
consider tje population consisting of the value 1,3,4 list all the possible size2 that can be drawn from the population with replacement , compute the mean, variance and standard deviation of the sampling distribution of the means , construct the probability histogram of the sample mean with replacement when n=2
√x^2+16=x+4
"3" x^2+16=x+4
"3"
The table below shows data collected in a research on the relationship
between monthly income and monthly expenditure of citizens in town Q.
Use it to answer the following questions.
Earner A B C D E F G H I J
Income usd . 44 65 50 57 96 94 110 34 79 65
Expenditure usd.“ 41 60 40 50 80 68 84 30 55 48
(a) Fit the regression line of expenditure on income using least squares
method.
(b) Using the regression line obtained in (a) above, estimate the expected
amount of expenditure of a Kenyan whose monthly income is usd.
75,000.
For a group of 20 items, sum of X = 1452, sum of x 2 = 144800 and mode = 67,
find the Karl Pearson’s coefficient of skewness and interpret the results.
Tigist wishes to mix two types of food C and D in such a way that the vitamin contents of the mixture contain at least 8 units of vitamin C and 11 units of vitamin D. Food C costs $ 60/kg and Food D costs $80/kg. Food C contains 3 units/kg of Vitamin A and 5 units / kg of Vitamin B while food D contains 4 units/kg of Vitamin A and 2 units/kg of vitamin B. Determine the minimum cost of the mixture by graphic model.
2. A trader has 62 % chance of making a sale to each client. Given that the
behavior of successive clients is independent find the probability that the
trader will make a sale if two clients Lynn and Faith enter the trader’s
premises.
The results of the nationwide aptitude test in mathematics are normally distributed with a mean of 80 and a standard deviation of 15. Find the raw score such that 70% of the cases are below it.
Prove or disprove that the polynomial 21x^3 - 3x^2 + 2x + 9 is irreducible over Z2 , but not over Z3. Justify your answer.
