Advances in medical science and healthier lifestyles have resulted in longer life expectancies. The life expectancy of a male whose current age is x years old is

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2021-09-19
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Advances in medical science and healthier lifestyles have resulted in longer life expectancies. The life expectancy of a male whose current age is x years old is

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liannemdh

Answered 2021-09-20
Author has **106** answers

16.8 years for male who is 65 years old and 10.18 years for a male aged 75 years

asked 2021-10-05

The table shows the number of students in a school's beginning and advanced orchestra classes. The student pay a fee for instruction books: $5 for brass, $5 for woodwinds, and $8 for strings. Find the amount each class will spend on books.

asked 2021-09-30

The following advanced exercise use a generalized ratio test to determine convergence of some series that arise in particular applications, including the ratio and root test, are not powerful enough to determine their convergence. The test states that if $

asked 2021-02-15

Let Z be a cycle of generalized eigenvectors of a linear operator T on V that corresponds to the eingenvalue lambda.Prove that span(Z) is a T-invariant subspace of V.

asked 2021-08-16

Although tea is the world’s most widely consumed beverage after water, little is known about its nutritional value. Folacin is the only B vitamin present in any significant amount in tea, and recent advances in assay methods have made accurate determination of folacin content feasible. Consider the accompanying data on folacin content for randomly selected specimens of the four leading brands of green tea.

\(\begin{array} \\
\text{Brand}& \text{Observations}\\
\hline
1&7.9&6.2&6.6&8.6&8.9&10.1&9.6\\
2&5.7&7.5&9.8&6.1&8.4\\
3&6.8&7.5&5.0&7.4&5.3&6.1\\
4&6.4&7.1&7.9&4.5&5.0&4.0 \\
\hline
\end{array}\)

(Data is based on “Folacin Content of Tea,” J. Amer. Dietetic Assoc., 1983: 627–632.) Does this data suggest that true average folacin content is the same for all brands? a. Carry out a test using α=.05α=.05 via the P-value method. b. Assess the plausibility of any assumptions required for your analysis in part (a). c. Perform a multiple comparisons analysis to identify significant differences among brands.

asked 2021-08-14

The following advanced exercise use a generalized ratio test to determine convergence of some series that arise in particular applications, including the ratio and root test, are not powerful enough to determine their convergence.

The test states that if

then

then

Show that

For which x > 0 does the generalized ratio test imply convergence of

asked 2021-08-10

A city recreation department offers Saturday gymnastics classes for beginning and advanced students. Each beginner class enrolls 15 students, and each advanced class enrolls 10 students. Available teachers, space, and time lead to the following constraints. ∙∙ There can be at most 9 beginner classes and at most 6 advanced classes. ∙∙ The total number of classes can be at most 7. ∙∙ The number of beginner classes should be at most twice the number of advanced classes.

a. What are the variables in this situation?

b. Write algebraic inequalities giving the constraints on the variables.

c. The director wants as many children as possible to participate. Write the objective function for this situation.

d. Graph the constraints and outline the feasible region for the situation.

e. Find the combination of beginner and advanced classes that will give the most children a chance to participate.

f. Suppose the recreation department director sets new constraints for the schedule of gymnastics classes. ∙∙ The same limits exist for teachers, so there can be at most 9 beginner and 6 advanced classes. ∙∙ The program should serve at least 150 students with 15 in each beginner class and 10 in each advanced class. The new goal is to minimize the cost of the program. Each beginner class costs $500 to operate, and each advanced class costs $300. What combination of beginner and advanced classes should be offered to achieve the objective? .

a. What are the variables in this situation?

b. Write algebraic inequalities giving the constraints on the variables.

c. The director wants as many children as possible to participate. Write the objective function for this situation.

d. Graph the constraints and outline the feasible region for the situation.

e. Find the combination of beginner and advanced classes that will give the most children a chance to participate.

f. Suppose the recreation department director sets new constraints for the schedule of gymnastics classes. ∙∙ The same limits exist for teachers, so there can be at most 9 beginner and 6 advanced classes. ∙∙ The program should serve at least 150 students with 15 in each beginner class and 10 in each advanced class. The new goal is to minimize the cost of the program. Each beginner class costs $500 to operate, and each advanced class costs $300. What combination of beginner and advanced classes should be offered to achieve the objective? .

asked 2021-03-07

There is currently a global pandemic and many researchers and scientists are working assiduously to find a vaccine. Assume that Advanced Researcher, a company that is currently testing a few vaccines confirms an 80% chance of effectiveness of one of their vaccines.

Which probability distribution would you use to calculate the probability of success or failure of Advanced Researcher's vaccine if it were to be administered to people in society?

Which probability distribution would you use to calculate the probability of success or failure of Advanced Researcher's vaccine if it were to be administered to people in society?