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.
The table shows the number of students in a school's beginning and advanced orchestra classes. The student pay a fee for instruction books
Cheyanne Leigh
2021-10-05
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Margot Mill
Answered 2021-10-06
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asked 2021-09-22
Young’s modulus is a quantitative measure of stiffness of an elastic material. Suppose that for aluminum alloy sheets of a particular type, its mean value and standard deviation are 70 GPa and 1.6 GPa, respectively (values given in the article “Influence of Material Properties Variability on Springback and Thinning in Sheet Stamping Processes: A Stochastic Analysis” (Intl. J. of Advanced Manuf. Tech., 2010: 117–134)). If X¯ is the sample mean Young’s modulus for a random sample of n = 16 sheets, where is the sampling distribution of X¯ centered, and what is the standard deviation of the X¯ distribution?
asked 2022-05-20
1a.
Show from first principles, i.e., by using the definition of linear independence,
that if μ = x + iy, y ̸= 0 is an eigenvalue of a real matrix
A with associated eigenvector v = u + iw, then the two real solutions
Y(t) = eat(u cos bt − wsin bt)
and
Z(t) = eat(u sin bt + wcos bt)
are linearly independent solutions of ˙X = AX.
1b.
Use (a) to solve the system (see image) 
asked 2021-09-22
The U.S. Census Bureau compiles census data on educational attainment of Americans. From the document Current Population Reports, we obtained the 2000 distribution of educational attainment for U.S. adults 25 years old and older. Here is that distribution.
[Table]
A random sample of 500 U.S. adults (25 years old and older) taken this year gave the following frequency distribution.
[Table]
Decide, at the 5% significance level, whether this year’s distribution of educational attainment differs from the 2000 distribution.
[Table]
A random sample of 500 U.S. adults (25 years old and older) taken this year gave the following frequency distribution.
[Table]
Decide, at the 5% significance level, whether this year’s distribution of educational attainment differs from the 2000 distribution.
asked 2021-01-31
The function W defined by
asked 2022-05-09
Identify each of the following statements as true or false in relation to confidence intervals (CIs).
Note: 0.5 marks will be taken away for each incorrect answer. The minimum score is 0.
| True | False | |
|---|---|---|
| A 95% CI is a numerical interval within which we are 95% confident that the true mean μ lies. | ||
| A 95% CI is a numerical interval within which we are 95% confident that the sample mean x¯¯¯ lies. | ||
| The true mean μ is always inside the corresponding confidence interval. | ||
| For a sample size n=29, the number of degrees of freedom is n=30. | ||
| If we repeat an experiment 100 times (with 100 different samples) and construct a 95% CI each time, then approximately 5 of those 100 CIs would not contain the true mean 𝜇. |
asked 2021-09-26
Driven by technological advances and financial pressures, the number of surgeries performed in physicians' offices nationwide has been increasing over the years. The function
a. Plot the graph of f in the viewing window [0,15]
b. Prove that f is increasing on the interval [0, 15].
asked 2021-08-16
As of October, 2016 the world`s largest pumpkin weighed 1190 kilograms. In order to grow a record-setting pumpkin, the fruits mass must increase by an average of
Give your answer with two decimal places, and ensure that you include unots.
Note: Equations for the volume and surface area of a sphere are on D2L in several places.
