Mathematics problem solving

1) In each scenario below, specify each variable as a response variable, an expl

1) In each scenario below, specify each variable as a response variable, an explanatory variable, or neither. a. A researcher collects measurements of VO2 max and resting heart ra…

1) In each scenario below, specify each variable as a response variable, an expl

1) In each scenario below, specify each variable as a response variable, an explanatory variable, or neither. a. A researcher collects measurements of VO2 max and resting heart ra…

1) In how many ways can 6 boys be arraned in a line? 2) In how many ways can 6 b

1) In how many ways can 6 boys be arraned in a line? 2) In how many ways can 6 boys be arraned in a circle? 1) 6 boys can be arranged in a line in 6! ways = 6*5*4*3*2*1 =720 2) 6 …

1) In order to determine the p -value associated with hypothesis testing about t

1) In order to determine the p-value associated with hypothesis testing about the population mean m, it is necessary to know the value of the test statistic. True/False 2) In test…

1) In order to initially observe the relationship between the two variables we c

1) In order to initially observe the relationship between the two variables we can use a a. histogram b. bar graph c. scatter plot d. pie chart 2) In regression analysis, the expr…

1) In order to initially observe the relationship between the two variables we c

1) In order to initially observe the relationship between the two variables we can use a a. histogram b. bar graph c. scatter plot d. pie chart 2) In regression analysis, the expr…

1) In the data table below, freshwater growth data for 40 female and 40 male sal

1) In the data table below, freshwater growth data for 40 female and 40 male salmon are presented, as recorded by the Alaska Dept. of Fish and Game. Assuming that the data reflect…

1) In the expansion (x+y+z)^10, write down all terms having x^6 as one of its fa

1) In the expansion (x+y+z)^10, write down all terms having x^6 as one of its factors. 2) Suppose we want to construct strings of digits 0-9 and 26 capital letters A-Z. How many s…

1) In the hypothesis H 0 : = 0 , the value of 0 is not derived from: past experi

1) In the hypothesis H0: = 0, the value of 0 is not derived from: past experience. a scientific theory. the sample. a target or benchmark. 3) The probability of rejecting a true n…

1) In the last election, a state representative received 40% of the votes cast.

1) In the last election, a state representative received 40% of the votes cast. One year after the election, the representative organized a survey that asked a random sample of 10…

1) In the year 1970, the population of the planet Earth was estimated to be 3.5

1) In the year 1970, the population of the planet Earth was estimated to be 3.5 Billion people and it was growing at a rate of about 2% per year. When does this simple population …

1) In the year 1970, the population of the planet Earth was estimated to be 3.5

1) In the year 1970, the population of the planet Earth was estimated to be 3.5 Billion people and it was growing at a rate of about 2% per year. When does this simple population …

1) In this problem we write (X, Y) for the Pearson correlation coefficient of tw

1) In this problem we write (X, Y) for the Pearson correlation coefficient of two quantitative variables X and Y. Suppose (X1, Y) = .56 and (X2, Y) = -.56. Indicate which of the f…

1) In this problem we write (X, Y) for the Pearson correlation coefficient of tw

1) In this problem we write (X, Y) for the Pearson correlation coefficient of two quantitative variables X and Y. Suppose (X1, Y) = .56 and (X2, Y) = -.56. Indicate which of the f…

1) In this problem we write (X, Y) for the Pearson correlation coefficient of tw

1) In this problem we write (X, Y) for the Pearson correlation coefficient of two quantitative variables X and Y. Suppose (X1, Y) = .56 and (X2, Y) = -.56. Indicate which of the f…

1) Independent random samples, each containing 90 observations, were selected fr

1) Independent random samples, each containing 90 observations, were selected from two populations. The samples from populations 1 and 2 produced 21 and 14 successes, respectively…

1) India is the second most populous country in the world, with a population of

1) India is the second most populous country in the world, with a population of over 1 billion people. Although the government has offered various incentives for population contro…

1) India is the second most populous country in the world, with a population of

1) India is the second most populous country in the world, with a population of over 1 billion people. Although the government has offered various incentives for population contro…

1) Interested in social experiments, you want to estimate the percentage of US a

1) Interested in social experiments, you want to estimate the percentage of US adults willing to sing karaoke in front of strangers. You want to be within 3 percentage points of t…

1) Interpret B1 and B3 in terms of tuition costs, rating and type of school. 2)

1) Interpret B1 and B3 in terms of tuition costs, rating and type of school. 2) the Author of the study wants to know whether the combination of raing, sie and type of school is O…

1) Iron-deficiency anemia is an important nutritional health problem in the Unit

1) Iron-deficiency anemia is an important nutritional health problem in the United States. A dietary assessment was performed on 86 boys 9 to 11 years of age whose family incomes …

1) Iron-deficiency anemia is an important nutritional health problem in the Unit

1) Iron-deficiency anemia is an important nutritional health problem in the United States. A dietary assessment was performed on 86 boys 9 to 11 years of age whose family incomes …

1) Is r yx = r xy ? That is, will the sample correlation coefficient be the same

1) Is ryx = rxy? That is, will the sample correlation coefficient be the same if you exchange continuous random variables X and Y? Why or why not? 2) What type of association does…

1) Is there constant seasonality; increasing/decreasing seasonality; a trend; or

1) Is there constant seasonality; increasing/decreasing seasonality; a trend; or no time effect at all from the linear regression analysis shown above? And why? 2) Are models with…

1) It is known 30% of university students get flu shots. Consider the 130 studen

1) It is known 30% of university students get flu shots. Consider the 130 students in STAT class a simple random sample (SRS) of university students. What is the probability that …

1) It is known 30% of university students get flu shots. Consider the 130 studen

1) It is known 30% of university students get flu shots. Consider the 130 students in STAT class a simple random sample (SRS) of university students. What is the probability that …

1) It is normal for more than one decoder output to be active at the same time.

1) It is normal for more than one decoder output to be active at the same time. 2) The select inputs to a multiplexer may also be called address lines 3) A demultiplexer does not …

1) Jim, Lydia, and Isabel are visiting China. Unfortunately they are stuckin a s

1) Jim, Lydia, and Isabel are visiting China. Unfortunately they are stuckin a seemingly infinite traffic jam. The cars are moving at a very slow (but constant) rate. Jim and Lydi…

1) Joleen is on a shopping spree. She buys six tops, three shorts and 4 pairs of

1) Joleen is on a shopping spree. She buys six tops, three shorts and 4 pairs of sandals. How many different outfits consisting of a top, shorts and sandals can she create from he…

1) Josh earned a 75% on his statistics exam. His professor announces that the me

1) Josh earned a 75% on his statistics exam. His professor announces that the mean score was 85% and the standard deviation was 5%. What is Josh's z-score? 2) When conducting post…

1) Just how accurate are the weather forecasts we hear every? day? The table com

1) Just how accurate are the weather forecasts we hear every? day? The table compares the daily forecast with a?city's actual weather for a year.?? On what percent of days did it …

1) Kate pours water into a tank at a constant rate of 320 millilitres per second

1) Kate pours water into a tank at a constant rate of 320 millilitres per second. Water from the first tank spills into a second tank at a constant rate of 30 millilitres per seco…

1) Kristen worked a total of 257 shifts. What is the sampling distribution for t

1) Kristen worked a total of 257 shifts. What is the sampling distribution for the proportion of shifts containing a death if 257 shifts were sampled at random? 2) 40 of Kristen G…

1) Kristen worked a total of 257 shifts. What is the sampling distribution for t

1) Kristen worked a total of 257 shifts. What is the sampling distribution for the proportion of shifts containing a death if 257 shifts were sampled at random? 2) 40 of Kristen G…

1) Last year times by runners in a footrace were normally distributed with mean

1) Last year times by runners in a footrace were normally distributed with mean 36 minutes and standard deviation 2.5 minutes. Race organizers wish to predict the smallest time T …

1) Leo visits a salad bar and has a choice of 3 types of leafy greens: iceburg l

1) Leo visits a salad bar and has a choice of 3 types of leafy greens: iceburg lettuce, red leaf lettuce, or spinach. She may choose from four chopped vegetables: carrots, onions,…

1) Let G = { e,a,b,c,d,f } be a group with identity element e and a Cayley Table

1) Let G = { e,a,b,c,d,f } be a group with identity element e and a Cayley Table as shown below:     X e a b c d f e e a b     c d f a a e f d c b b b d c e f a c c f e b a d d d …

1) Let I be an ideal in a ring R. Prove that every element in R/I is a solution

1) Let I be an ideal in a ring R. Prove that every element in R/I is a solution of x^2 = x if and only if for every element a in R, element a^2 - a is in I. 2) Let I does not equa…

1) Let R be the region bounded by y= 2x^2, y=o and x=2. Set up the integrals ( d

1) Let R be the region bounded by y= 2x^2, y=o and x=2. Set up the integrals ( do not integrate) for the volume of the solid that is generated if a) R is revolved around the x axi…

1) Let R be the set of all real numbers. For all a * b = e^(a+b), where e^(x) de

1) Let R be the set of all real numbers. For all a * b = e^(a+b), where e^(x) denotes the natural exponential function at x. Is R with * a multiplicative group? 2) Let S be a none…

1) Let T be the reflection about the line 4x+3y=0 in the euclidean plane. The st

1) Let T be the reflection about the line 4x+3y=0 in the euclidean plane. The standard matrix A of T is ii) A has 2 eigenvalues. One of them is?------- and its corresponding eigen…

1) Let T be the relation {(3,1), (2,3), (3,5), (2,2), (1,6), (2, 6), (1,2) } c)

1) Let T be the relation {(3,1), (2,3), (3,5), (2,2), (1,6), (2, 6), (1,2) } c) T ^ (-1) d) (T ^(-1) )^(-1) 5) Let R = { (1,5), (2,2), (3,4), (5,2)}, S = {(2,4), (3,4), (3,1), (5,…

1) Let X , the number of flaws on the surface of a randomly selected boiler of a

1) Let X, the number of flaws on the surface of a randomly selected boiler of a certain type, have a Poisson distribution with parameter ? = 5. Use the cumulative Poisson probabil…

1) Let X be normally distributed with mean = 24 and standard deviation = 16. P (

1) Let X be normally distributed with mean = 24 and standard deviation = 16.   P(8 X 32) = Find x such that P(X x) = 0.9382. (Round "z" value to 2 decimal places, and final answer…

1) Let X be the number of heads in three tosses of a fair coin. What is the prob

1) Let X be the number of heads in three tosses of a fair coin. What is the probability function of X ? 2) 5 patients enter a medical clinic which has 9 different doctors. If each…

1) Let a and b be natural numbers. PROVE If a > b, then a does not divide b. 2)

1) Let a and b be natural numbers. PROVE If a > b, then a does not divide b. 2) CONJECTURE  Let a, b, and c be integers. PROVE If a divides (b+c), then a divides b or a divides…

1) Let f(x) = e^(1/x), where x does not equal to 0. a) Describe the behavior of

1) Let f(x) = e^(1/x), where x does not equal to 0. a) Describe the behavior of f(x) as x--> infinity, and as x--> negative infinity; that is, find lim fx) as x app infinity…

1) Let f(x)= x^3-10x calculate the difference quotient f(2+h)-f(2)/h for h= .1 _

1) Let f(x)= x^3-10x calculate the difference quotient f(2+h)-f(2)/h for h= .1 __________ ?? h= .01 _________?? h= -.01 _________?? h= -.1 _________?? If someone now told you the …

1) Let f(x)=x^2 square root of 2x+2. Give f \'(1). 2) h(x)=f(x)/g(x) +3. Find h

1) Let f(x)=x^2 square root of 2x+2. Give f '(1). 2) h(x)=f(x)/g(x) +3. Find h '(2), given that f(2)=6, f '(2)=3, g(2)=1, g '(2)=-1 3)If f(x)= (x^2  +1)^4 , find f '(0). 4)If f(x)…

1) Let r(t) = 5cos(t)i+5sin(t)j+12tk a) Graph the curve determined by the vector

1) Let r(t) = 5cos(t)i+5sin(t)j+12tk a) Graph the curve determined by the vector equation. b) Find the velocity, acceleration, and speed at time t. c) Find the length of the curve…