APPLY THE CONCEPTS: Use the CVP graph to analyze the effects of changes in price and costs Graph the following on your own paper. At the original position, the break-even point in sales dollars is $24,000 at 500 units. The fixed costs are $8,000. Assume the slope of the sales line is equal to the selling price. When the two points of the sales line are at the origin and the break-even point, you see that the slope of the line is $48, which means that the selling price is $_______ . When the two points of the total costs line are at the origin and the break-even point, you see that the slope of the line is $32.00, which means that the variable cost per unit is $_______ . Leave the break-even point (x) at its original position. Use it as a reference point to answer the following questions. Analyze the scenarios by sliding the points on the lines to get the slope desired. Recall that the new break-even point for each scenario exists where the sales and total costs lines intersect. Compare it to the original break-even point (x). (You may want to put the lines back to their original position for each scenario.)
In: Finance
Amino acids occasionally are used as buffers. A buffer is a solution that resists changes in pH when acid or base are added. The pH range over which a buffer is effective is called the buffering range, usually defined as pKa + 1 to pKa -1.
a. Indicate the buffering range (or ranges) of Gly, His, Asp and Lys .
b. Choose an amino acid to buffer at pH = 4, pH =6, pH =9, and pH =12.
c. Would you expect a protein containing 100 amino acids to be as good a buffer as its constituent free amino acids at equivalent molar amino acid concentrations? Explain.
In: Chemistry
In: Biology
A sociologist is interested in the relation between x = number of job changes and y = annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information.
| x (number of job changes) | 6 | 3 | 5 | 6 | 1 | 5 | 9 | 10 | 10 | 3 |
| y (Salary in $1000) | 35 | 36 | 37 | 32 | 32 | 38 | 43 | 37 | 40 | 33 |
Σx = 58; Σy = 363; Σx2 = 422; Σy2 = 13,289; Σxy = 2,173
(a) Find x bar, y-bar, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.)
(b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram.
(c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.)
| r = | |
| r2 = |
What percentage of variation in y is explained by the
least-squares model? (Round your answer to one decimal
place.)
%
(d) If someone had x = 9 job changes, what does the
least-squares line predict for y, the annual salary?
(Round your answer to two decimal places.)
In: Statistics and Probability
Which of the following changes will likely increase the solubility of a solid solute but decrease the solubility of a gaseous solute?
A. Increasing the temperature
B. Increasing the molecular mass of the solute
C. Decreasing the atmospheric pressure
D. Decreasing the concentration
In: Chemistry
A sociologist is interested in the relation between x = number of job changes and y = annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information.
| x (number of job changes) | 6 | 7 | 3 | 6 | 1 | 5 | 9 | 10 | 10 | 3 |
| y (Salary in $1000) | 34 | 33 | 35 | 32 | 32 | 38 | 43 | 37 | 40 | 33 |
In this setting we have Σx = 60, Σy = 357, Σx2 = 446, Σy2 = 12,869, and Σxy = 2210.
(a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to four decimal places.)
| x | = _____ | |
| y | = _____ | |
| b | = _____ | |
| ŷ | =______ | + ___ x |
(b) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.)
| r = _____ | |
| r2 = _____ |
What percentage of variation in y is explained by the
least-squares model? (Round your answer to one decimal
place.)
(c) Test the claim that the population correlation coefficient ρ is positive at the 5% level of significance. (Round your test statistic to three decimal places.)
t =
What is P value of test statistic
P value =
(d) If someone had x = 3 job changes, what does the
least-squares line predict for y, the annual salary?
(Round your answer to two decimal places.)
_______thousand dollars
(e) Find Se. (Round your answer to two
decimal places.)
Se =
(f) Find a 90% confidence interval for the annual salary of an individual with x = 3 job changes. (Round your answers to two decimal places.)
| lower limit | ___________ thousand dollars |
| upper limit | ___________ thousand dollars |
(g) Test the claim that the slope β of the population least-squares line is positive at the 5% level of significance. (Round your test statistic to three decimal places.)
t =
Find the P value of test statistic =
(h) Find a 90% confidence interval for β and interpret its meaning. (Round your answers to three decimal places.)
| lower limit ______ | |
| upper limit ______ |
In: Statistics and Probability
Considering the three classes of response of materials to changes in temperature, explain why it is a sudden change rather than an accelerating or gradual change that is important for the operation of a repeatable thermal cutout switch.
In: Mechanical Engineering
Life is not perfect. One reason for this is because the environment changes and adaptations lag. Which of the following best describes what this statement means.
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Selection occurs in the parental generation. If the environment changes between generations offspring may no longer be best adapted to their environment. |
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Selection can only work with the genetic material present in a population. When the environment changes, new variation is needed and mutations that result in traits suitable to the current environment will take time to build up in the population. |
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Selection occurs in the parental generation. If the environment changes, parents may need to change their behavior in the new environment. These new adaptations would not have been passed onto previous offspring, resulting in a lag since some generations will not be best adapted to the new environment. |
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Two of the answers best describe this statement. |
Rose thorns are modified stems. The ancestors to our modern-day roses did not have thorns to protect them from herbivory. Which of the following would be the reasonable hypothesis for how natural selection drove the evolution of thorns on roses?
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Ancestral rose stems had variable stem textures; from smooth to bumpy. Those with bumpy stems were less palatable to herbivores and so were consumed less frequently. Thus bumpy stemmed individuals reproduced more than smooth stemmed individuals and their offspring exhibited the parental bumpy stem texture. |
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Ancestral roses were all smooth-stemmed. A mutation arose that conferred thorn-like structures on rose stems. Individuals with the thorn mutation were less palatable to herbivores and so were consumed less frequently. Thus they reproduced more than smooth stemmed individuals and their offspring exhibited the thorn-like structure trait. |
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Ancestral rose stems had variable stem textures; from smooth to bumpy. Those with bumpy stems were less palatable to herbivores and so were consumed less frequently. Thus bumpy stemmed individuals reproduced more than smooth stemmed individuals. |
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Ancestral rose stems had variable stem shapes; from rounded to angular Those with angular stems were less palatable to herbivores and so were consumed less frequently. |
In: Biology
discuss what the changes are in contemporary work labour markets and their impacts on the privileged occupational group
In: Economics
What is the percentage change in price for a zero coupon bond if the yield changes from 6% to 7%? The bond has a face value of $1,000 and it matures in 13 years. Use the price determined from the first yield, 6%, as the base in the percentage calculation.
In: Finance