Researchers studied the relationship between glucose concentration, oxygen level, and  ATP production in one type of mammalian cell. Cells were isolated and cultured in growth medium containing either  1.5mM glucose or  25 mM glucose and at oxygen levels that varied from  0% to  21%. The researchers determined the concentration of  ATP per cell under the different conditions. The  ATP concentrations are shown as relative to the maximum  ATP concentration obtained when cells were cultured in the presence of  25 mMglucose and  21% oxygen, standard culture conditions. The data are shown in Table 1.

Table 1. Relative concentration of  ATP per cell under different growth conditions

(a)  Describe the role of oxygen in cellular respiration.

Question 2

(b) Using the template,  construct an appropriately labeled graph to represent the data in Table 1.

Question 3

(c)  Describe the relationship between the concentration of glucose in the culture medium and the  ATP concentration in the cells.

Question 4

(d) In a further experiment, the researchers add a compound to the cell growth medium that both binds and releases protons  (H+) and also passes through lipid membranes.  Predict the effect of this added compound on  ATP production by the cells.  Justify your prediction.

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1. Listed below are altitudes​ (thousands of​ feet) and outside air temperatures​ (°F) recorded during a flight. Find the​ (a) explained​ variation, (b) unexplained​ variation, and​ (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear​ correlation, so it is reasonable to use the regression equation when making predictions. For the prediction​ interval, use a​ 95% confidence level with the altitude of 6327 ft​ (or 6.327 thousand​ feet).

a. Find the explained variation. ​(Round to two decimal places as​ needed.)

b. find the unexplained variation ( two decimal places)

c. the indicated prediction interval (two decimal places)

2. The table below lists weights​ (carats) and prices​ (dollars) of randomly selected diamonds. Find the​ (a) explained​ variation, (b) unexplained​ variation, and​ (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear​ correlation, so it is reasonable to use the regression equation when making predictions. For the prediction​ interval, use a​ 95% confidence level with a diamond that weighs 0.8 carats.

a. Find the explained variation. ​(Round to the nearest whole number as​ needed.)

b. Find the unexplained variation (Round to the nearest whole number as​ needed.)

c. Find the prediction interval (Round to the nearest whole number as​ needed.)

The data shown to the right represent the age​ (in weeks) at which babies first​ crawl, based on a survey of 12 mothers. Complete parts​ (a) through​ (c) below. 52 30 44 35 47 37 56 26 54 44 35 28 Click here to view the table of critical t-values. LOADING... Click here to view page 1 of the standard normal distribution table. LOADING... Click here to view page 2 of the standard normal distribution table. LOADING... ​(a) Draw a normal probability plot to determine if it is reasonable to conclude the data come from a population that is normally distributed. Choose the correct answer below. A. 20 30 40 50 60 -2 -1 0 1 2 Age (in weeks) Expected z-score A normal probability plot has a horizontal axis labeled "Age (in weeks)" from 20 to 60 in increments of 5 and a vertical axis labeled "Expected z-score" from negative 2 to 2 in increments of 0.5. The graph contains 12 plotted points that follow the general pattern of a line that falls from left to right through (30, 1) and (50, negative 1), with slight deviation from the line pattern at the tails. The 12 plotted points have coordinates as follows: (26, 1.6); (28, 1.1); (30, 0.8); (35, 0.5); (35, 0.3); (37, 0.1); (44, negative 0.1); (44, negative 0.3); (47, negative 0.5); (52, negative 0.8); (54, negative 1.1); (56, negative 1.6). All coordinates are approximate. B. 20 30 40 50 60 -4 -2 0 2 4 Age (in weeks) Expected z-score A normal probability plot has a horizontal axis labeled "Age (in weeks)" from 20 to 60 in increments of 5 and a vertical axis labeled "Expected z-score" from negative 4 to 4 in incrementservals of 1. The graph contains 12 plotted points that follow the general pattern of a line that rises from left to right through (30, negative 2) and (50, 2), with slight deviation from the line pattern at the tails. The 12 plotted points have coordinates as follows: (26, negative 3.3); (28, negative 2.3); (30, negative 1.6); (35, negative 1); (35, negative 0.6); (37, negative 0.2); (44, 0.2); (44, 0.6); (47, 1); (52, 1.6); (54, 2.3); (56, 3.3). All coordinates are approximate. C. 20 30 40 50 60 -2 -1 0 1 2 Age (in weeks) Expected z-score A normal probability plot has a horizontal axis labeled "Age (in weeks)" from 20 to 60 in increments of 5 and a vertical axis labeled "Expected z-score" from negative 2 to 2 in incrementstervals of 0.5. The graph contains 12 plotted points that follow the general pattern of a line that rises from left to right through (30, negative 1) and (50, 1), with slight deviation from the line pattern at the tails. The 12 plotted points have coordinates as follows: (26, negative 1.6); (28, negative 1.1); (30, negative 0.8); (35, negative 0.5); (35, negative 0.3); (37, negative 0.1); (44, 0.1); (44, 0.3); (47, 0.5); (52, 0.8); (54, 1.1); (56, 1.6). All coordinates are approximate. D. 20 30 40 50 60 -4 -2 0 2 4 Age (in weeks) Expected z-score A normal probability plot has a horizontal axis labeled "Age (in weeks)" from 20 to 60 in increments of 5 and a vertical axis labeled "Expected z-score" from negative 4 to 4 in increments of 1. The graph contains 12 plotted points that follow the general pattern of a line that falls from left to right through (30, 2) and (50, negative 2), with slight deviation from the line pattern at the tails. The 12 plotted points have coordinates as follows: (26, 3.3); (28, 2.3); (30, 1.6); (35, 1); (35, 0.6); (37, 0.2); (44, negative 0.2); (44, negative 0.6); (47, negative 1); (52, negative 1.6); (54, negative 2.3); (56, negative 3.3). All coordinates are approximate. Is it reasonable to conclude that the data come from a population that is normally​ distributed? A. ​Yes, because the plotted values are approximately linear. B. ​No, because the plotted values are not linear. C. ​No, because there are not enough values to make a determination. D. ​Yes, because the plotted values are not linear. ​(b) Draw a boxplot to check for outliers. Choose the correct answer below. A. 20 30 40 50 60 A boxplot has a horizontal axis labeled from 20 to 60 in increments of 5. The boxplot has the following five-number summary: 26, 32.5, 40.5, 49.5, 56. All values are approximate. B. 20 30 40 50 60 A boxplot has a horizontal axis labeled from 20 to 60 in increments of 5. The boxplot has the following five-number summary: 26, 32.5, 45, 54, 56. All values are approximate. C. 20 30 40 50 60 A boxplot has a horizontal axis labeled from 20 to 60 in increments of 5. The boxplot has the following five-number summary: 26, 37, 40.5, 49.5, 56. All values are approximate. D. 20 30 40 50 60 A boxplot has a horizontal axis labeled from 20 to 60 in increments of 5. The boxplot has the following five-number summary: 26, 37, 45, 54, 56. All values are approximate. Does the boxplot suggest that there are​ outliers? A. ​No, there are no points that are greater than the third quartile or less than the first quartile. B. ​Yes, there is at least one point that is greater than the third quartile or less than the first quartile. C. ​Yes, there is at least one point that is outside of the​ 1.5(IQR) boundary. D. ​No, there are no points that are outside of the​ 1.5(IQR) boundary. ​(c) Construct and interpret a 95​% confidence interval for the mean age at which a baby first crawls. Select the correct choice and fill in the answer boxes to complete your choice. ​(Round to one decimal place as​ needed.) A. The lower bound is nothing weeks and the upper bound is nothing weeks. We are 95​% confident that the mean age at which a baby first crawls is outside of the confidence interval. B. The lower bound is nothing weeks and the upper bound is nothing weeks. We are 95​% confident that the mean age at which a baby first crawls is within the confidence interval. Click to select and enter your answer(s).

Let A and B be two events in a sample with P(A)=0.4 and P(AuB)=0.7.Let P(B)=p

a)i For what value of p are A and B mutually exclusive?

ii for what value of p are A and B independent?

b) Assume that P(A)=0.4 and P(B)=0.3

i find P(B')

ii if A and B are mutually exclusive , what is P(A or B)

ii given that P(A or B)=0.6, Find the P(B/A)

c) suppose events A and B are such that P(A)=0.25,P(B) =0.33 and P(A|B)=0.5, Compute,

P(AnB) and P(AuB)

Typing errors in a text are either nonword errors (as when "the" is typed as "teh") or word errors that result in a real but incorrect word. Spell‑checking software will catch nonword errors but not word errors. Human proofreaders catch 70%70% of word errors.

You ask a fellow student to proofread an essay in which you have deliberately made 1010 word errors.

(a) If ?X is the number of word errors missed, what is the distribution of ?X ? Select an answer choice.

?X is approximately Normal with ?=3μ=3 and ?=1.45σ=1.45

?X is binomial with ?=10n=10 and ?=0.3p=0.3

?X is binomial with ?=10n=10 and ?=0.7p=0.7

?X is Normal with ?=7μ=7 and ?=1.45σ=1.45

If ?Y is the number of word errors caught, what is the distribution of ?Y ? Select an answer choice.

?Y is binomial with ?=10n=10 and ?=0.7p=0.7

?Y is binomial with ?=10n=10 and ?=0.3p=0.3

?Y is approximately Normal with ?=3μ=3 and ?=1.45σ=1.45

?Y is Normal with ?=7μ=7 and ?=1.45σ=1.45

(b) What is the mean number of errors caught? (Enter your answer as a whole number.)

mean of errors caught =

What is the mean number of errors missed? (Enter your answer as a whole number.)

mean of errors missed =

(c) What is the standard deviation of the number of errors caught? (Enter your answer rounded to four decimal places.)

standard deviation of the number of errors caught =

What is the standard deviation of the number of errors missed? (Enter your answer rounded to four decimal places.)

standard deviation of the number of errors missed =

Gary Theater is in the Hoosier Mall. A cashier's booth is located near the entrance to the theater. Two cashiers are employed. One works from 1:00 to 5:00 p.m., the other from 5:00 to 9:00 p.m. Each cashier is bonded. The cashiers receive cash from customers and operate a machine that ejects serially numbered tickets. The rolls of tickets are inserted and locked into the machine by the theater manager at the beginning of each cashier's shift. After purchasing a ticket, the customer takes the ticket to a doorperson stationed at the entrance of the theater lobby some 60 feet from the cashier's booth. The doorperson tears the ticket in half, admits the customer, and returns the ticket stub to the customer. The other half of the ticket is dropped into a locked box by the doorperson. At the end of each cashier's shift, the theater manager removes the ticket rolls from the machine and makes a cash count. The cash count sheet is initialed by the cashier. At the end of the day, the manager deposits the receipts in total in a bank night deposit vault located in the mall. In addition, the manager sends copies of the deposit slip and the initialed cash count sheets to the theater company treasurer for verification and to the company's accounting department. Receipts from the first shift are stored in a safe located in the manager's office. (a)Identify the internal control principles and their application to the cash receipts transactions of Gary Theater. (b)If the doorperson and cashier decided to collaborate to misappropriate cash, what actions might they take?

1)Let S be the set of all students at a college. Define a relation on the set S by the rule that two people are related if they live less than 2 miles apart. Is this relation an equivalence relation on S? Justify your answer.

2) Define another relation on the set S from problem 5 by defining two people as related if they have the same classification (freshman, sophomore, junior, senior or graduate student). Is this an equivalence relation on S? Justify.