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Mathematics Questions and Answers September 20, 2021

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A multinational company invests a certain amount of dollars in a project. The following table lists all the possible future returns ($, in millions) associated with the respective probabilities. LetX represent the returns (,$ in millions) in this random process. Calculate the population standard deviation or of X ($, in millions). (keep two
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Can you please help me with these, please ignore the writings in question 1. I had no clue what to do. Your Board Length #1: 3ft Available Board Lengths: 2ft 5ft 8ft 12ft Your Board Length #2: 11ft 15ft You are working with a group of volunteers to improve the nearby park. Complete the following tasks using the information above. 1. Your first
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1'13. STRUCTURE Jazmin is participating in a 25.5kilometer ChElfit'f walk. She walks at a rate of 4.25 km per hour. Jazmin walks at the same pace for the entire event. a. Write an en uation in slope-inte roe pt form for the remaining distance. 3-. in kilometers of walking for ghours. o. Graph the function. e. 1What do the g and jg-intercepts re
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Alvin wants to know what his average paddling rate was for a canoe trip to a campsite. On the way there it took him 4 hours against a river current of 2 km/ hr. On the way back, the same distance took him 2 hours with the same 2 km/hr current. Let r = Alvin's average paddling rate. Express the rates against the current and with the current in
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1c. [3 marks] The equation of (XY) is y = 2 - x and the equation of (YZ) is y = 0.5x + 3.5. Find the coordinates of X. 1d. [2 marks] The coordinates of Y are (-1, 3) and the coordinates of Z are (7, 7). Determine the exact length of [ YZ]. 1e. [1 mark] A town planner believes that the larger the area of the Voronoi cell XYZ, the more people will
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Strayer | Login X Introduction to College Mathema x +
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I could really use some help. Could you please explain to me how to come to the average rate of change? Thanks! Homework: Homework 1.3 Save Score: 0 of 1 pt 7 of 9 (1 complete) HW Score: 11.11%, 1 of 9 1.3.43 Question Help The number of crimes that occurred in a certain city per 1000 people had decreased from 46.8 in 1920 to 44.7 in 1990. Find the
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need help in these problems \f\fSuppose a certain type of small data processing firm is so specialized that some have difficulty making a profit in their first year of operation. The probability density function that characterizes the proportion Y that make a profit is given by f(y) ky'(1 - y). OSys1, 10. elsewhere. (a) What is the value of k that
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he excerpt states that a test measuring a "unitary construct" would be expected to have a high degree of alpha reliability. Would a scale that measures both artistic interests and mechanical interests and yields a single score for the combined interests be an example of a "unitary construct"? Explain

What is the best definition of a regression equation? Multiple choice question. A simplified equation of a more primitive form than the original equation. The equation used to calculate the least squares fit. An equation that expresses the linear relation between two variables

Given elements a and b of a group G, prove that (a 'ba)" = a ba for all n 2 0. Prove this by using induction on n
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Hello, Please explain your solution for the question below. Thank you!:) Questlon 2|]: It is very common fertelevisicn series to draw a large audience for special events or for cliff-hanging story lines. Suppose that on one of these occasions, the special show drew viewers from 30.5 percent of (15 Points) all US 'TV households. Suppose that three
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A company maintains two offices in a certain region, each staffed by two employees. Information concerning yearly salaries (1000s of Dollars) is as follows: \f
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In hypothesis testing, what does an extreme value for the test statistic indicate? In hypothesis testing, what does an extreme value for the test statistic indicate? The null hypothesis is not likely to be true The sampling distribution conditions were not met The test was done incorrectly The null hypothesis is likely to be true The sample was

In reading graphs, be alert when scales are altered. Sometimes changes in scales can leave an incorrect impression. What is exaggerated in the following bar graph by having the tax scale not start at $0? \f
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The distribution of scores obtained on a test from one group of testtakers is used as the basis for the calculation of test scores for future administrations of the test. This group is referred to as the _____. Multiple choice question. normative group fixed reference group classical test group purposive sample group

I need help with these questions regarding, physics which are very tough on II and III which with II questions 3-5 and III questions 1-5, and I need help with step by step with these because I don't know how to show them. 1. Are do, dand fpositive or negative in the following? a. b. d C. +d 2. In the drawings above, take the cases: (a) do= 20.0 cm
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FExam3: Problem 2 Previous Problem Problem List Next Problem (1 point) The Census Bureau reports that 82% of Americans over the age of 25 are high school graduates. A survey of randomly selected residents of certain county included 1270 who were over the age of 25, and 1048 of them were high school graduates. (a) Find the mean and standard
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Expandlog 2 (2x^3/y^4z^5) completely using properties of the logarithm.

Derive the MGF for an exponential and then find the distribution of Y = 2X. 1. Prove My (t 1-8t2. Find the expression for M, (t) uee 2 3. Find the ratio of the variances ;T L An exponential distribution is defined as a Gamma with alpha = 1. Suppose Y ~ Exp(B) and further that L = 2Y
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I am confused on which model will provide the best MAD. I have to list MAD for Naive, SMA, WMA, Exp. Smooth and trend. Excel templates shown below. I am having trouble creating a control chart to determine the best model. I have to determine the average forecast and the seasonality after. \f\f\f\f\f\f
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Question. Let S be the subspace of P3 (the vector space of cubic polynomials with real coefficients), consisting of polynomials p whose graphs pass through the origin. Find a basis for S (justify why it is a basis) and determine dim(S). Given the following vector spaces V , describe the zero vector for each, respectively. (i) V = M22 (ii) V = C[0,

(1 point) Find a particular solution to y" + 16y = 8 sin (4t). Up(1 point) a. Find a particular solution to the nonhomogeneous differential equation y" + 4y' + 5y =-15x + 5e-*. If yp = A + Ba + Ce- with general coefficients A, B, C, give the formula for the derivative and second derivative using the variables A, B and C: Up = B- (Ce^-x) yp = Ce^-x
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Hi I need help on what is the answer to this problems? Below is the question and other concerns will be in the comment section . I hope you can help me and surely I will give you full positive feedback. Prove that if a ERR, then a. 0= 0= D. a
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The half-life of radium-226is about1,600 years. How long will a10-milligram sample of radium-226take to decay to3 milligram? Round your answer to the nearest year.

Hi there I need help with these questions please ! Solve the following inequality, then graph the solution set. 2 2 1 Answer in interval notation. Preview 10 -8 5 6 7 8 9 1 Solve the following inequality, then graph the solution set. (2- Answer in interval notation. Preview 6 7 8 9 10 14 Solve the following inequality, then graph the solution set.
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can you help me understand My Apps X A ALEKS - Morgan Squires - Lear X Premier Membership C www-awu.aleks.com/alekscgi/x/Isl.exe/10_u-IgNslkasNW8D8A9PVVRxTulBZ_IFNCx8 E O QUADRATIC EQUATIONS AND FUNCTIONS Comparing properties of quadratic functions given in different... Answer the questions below based on the two quadratic functions. Function 1
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Second, co-owner Sherry Snyder wants to forecast using a three-period moving average. The forecast for the month of May is (round your response to two decimal places). Forecast Month Jan Feb Mar Apr May Sales 400 380 414 365 398.00 386.33 c) Assume that May's actual sales figure tums out to be 400. For the forecast developed by Bob using
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Please help me solve MAT-156-002-MML SU20 Statistics (3 cr) arris Homework: Chapter 3 Practice Sav Score: 0 of 1 pt 20 of 58 (18 complete) HW Score: 31.03%, 18 of 58 p 3.3.5 Question Help Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the range, variance, and standard deviation for the sample data.
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An issue of Taunton's Fine Woodworking included plans for a hall stand. The total height of the stand is 87 1/2 inches. If the base is 39 3/16 inches, how tall is the upper portion of the stand?

2.3 Question 3 Write a Python function: def biggestWithPos(A) which takes an array of integers and returns the biggest integer in the array along with its position, as a pair. For example, if it takes the array [5 , 12 ,31 ,7 , 25] as input it will return the pair (31 , 2). If A is empty, the function should return None (which corresponds to the
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2. In 2008, you received an economic stimulus payment in the amount of $300. You invested this money in a money market account with an APR of 2.5% interest compounded monthly. How much money will you have in the account 6 years later? Formula used Solve the
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B) what does the frequency column in table 2.42 sum to? C) what does the relative frequency column in table 2.42 sum to? Frequency table calculator (statistics) Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week Fourteen people answered that they generally sell three cars; seventeen
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. For each of the functional relations listed below, plot the relation on a scale diagram {with X on the horizontal axis and Y on the vertical axis) and compute the slope of the line. a. Y = 1U+3X Answer: h. Y 2 2H + 4X Answer: c. Y = 30 + 5)
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I need help with my applied managerial statistics project. (calculate mean, mode ,range ,variance ,std ,deviation etc) on each of the four variables sales ,calls, time, years and plot a histogram (using Excel) for each of the four variables. A B C D E DO VOUTAWNY Sales (Y) Calls (X1) Time (X2) Years (X3) 37 117 Type 14.8 0 38 GROUP 117 15.3 3 40
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6 chrome File Edit View History Bookmarks Profiles Tab Window Help 1 :2. 36%[} '3 Q 2 O SunOth 5:34PM 0 0 Quiz 4 (3.1 - 3.4) t mylab.pearson.com 2022/FA MATH1324V01 Miguel Cardenas 10/02/22 5:34 PM C?) This quiz: 10 point(s) possible This question: 1 point(s) possible E Quiz: Quiz 4 (3.1 - 3.4) Submit quiz _ _ What annual interest rate is earned
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1: Mushroom production Suppose you want to model mushroom production as it relates to temperature. The unit for measuring mushroom production are kg and the unit of temperature is degrees Fahrenheit. Assume the following linear model: Q = 0 + 1 T + , N (0, 2)

Hi, I need answer for the following question: 9.LetT= 0 1 2 001 312] A) Find the eigenvalues and corresponding eigenvectors for T B) Find the matrix C, such that 07TC = D, where D is Diagonal C) What is D? (You do NOT need to find 0'7 to answer this!)
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Question 5 options: The makers of a smartphone have received complaints that the face recognition tool often doesn't work, or takes multiple attempts to finally unlock the phone. They've upgraded to a new version and are claiming the tool has improved. To test the claim, a critic takes a random sample of 80 users of the new version (Group 1) and

I've just started studying bivariate distributions, precisely "Conditional density of X 2 conditionally on X 1 = x 1 ". First of all, the slides of this topic give me the following formulas that I need to use for the next example which I didn't understand how to solve it. The formulas are: An example Let CO ( X . V ( X , y ) = 1 if O
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Factor out the greatest common factor of 12x 3 + 16x 2 - 8x

Letdenote the amount of capitalaccumulated at timeas a result of a investment flow I(t)=k'(t)=9000t Suppose the initial capital.k(0)=0 Calculatethe number of years required before the capital stock exceeds 100 000. Round your answer to 2 decimal places

A random sample of 14 items is drawn from a population whose standard deviation is unknown. The sample mean isx x= 780 and the sample standard deviation is s = 5. UseAppendix Dto find the values of Student's t . (a) Construct an interval estimate of with 98% confidence. (Round your answers to 3 decimal places.) The 98% confidence interval is

A company estimates that it will sell N (x) units of a products after spending X thousand dollars on advertising, as giver by N(x) = -5x 3 +265x 2 -3400x +18000, 10 < x < 40. A) Use interval notation to indicate when the rate of exchange of sales N' (x) is increasing N' (x) increasing B) Use interval notation to indicate when the rate of change of

Use the formula for finding az-score to determine the missing value in the following table. Round your answer to two decimal places, if necessary. 2.84 32.40 2.09

please answer asap 5. What sample size would we need to estimate the average amount of time U.S. adults watching election coverage with 99% confidence and a margin of error of + 7 minutes? Use z = 2.575. A) 321 U.S. Adults B) 108 U.S. Adults C) 157 U.S. Adults D) 243 U.S. Adults 6. Consider taking random samples of size 50 from Population A with
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8.) It takes Fred 32 minutes to type and spell check 5 pages of a manuscript. Find how long it takes him to type and spell check 4 pages. Round to the nearest whole number.
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What is the value represented by the expression IAl where A = { }? (Hint: Your solution should be an integer) What is the value represented by the expression 17 USI where S = {1,2,...,10} and 7 = {0,2,4,..., 18,20}? (Hint: Your solution should be an integer) What is the value represented by the expression In AI where M = {1, 2. ....99, 100} and /
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Do makes or females fool more torise or stressed out at work? A survey of employed adults conducted onling by a Felt Tense or Stressed Out company on behalf of a research organization revealed the data in the contingency table shown to the right. Complete at Work parts (a) through (d) below. Gonder You No Total Male 180 135 Female 365 255 620
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A random sample of 35 subjects who identified themselves as compulsive buyers was obtained and given a questionnaire. They had a mean questionnaire score of 0.62 with a standard deviation of 0.18. Test the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.59 for the general population. Use a 0.05

Elizabeth Nsubuga is a foreign professor at Lyceum of the Philippines Cavite. Identify 4 significant biometrics/biostatistics about her and classify them according to the 4 Scales of Data Measurements. Present your responses in table form as shown

I need help answering this question in R, Approximate the p-value of the hypothesis that the following 13 data values come from an exponential distribution with mean 50: 86, 133, 75, 22, 11, 144, 78, 122, 8, 146, 33, 41, 99

Content 11. [-/4.54 Points] DETAILS SMITHPOW10 5.3.012. Find the measure of the third angle in the triangle. (Assume a = 56.) Submit Answer 12. [-/4.54 Points] DETAILS SMITHPOW10 5.3.029. Use algebra to find the value of x in the triangle below. Notice the measurement of the angle is not necessarily the same as the value of x. X = 3x Submit Answer
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f ( 7 + h) -f(7) Find lim if f(X) = X 2 +3. h h-0 f(7 + h) - f(7) lim (Simplify your answer. ) h h-0
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3.8 In reference to question (3.7), answer the following. (a) If a woman has 3 children, find the probability that she has exactly 1 boy. (b) If a woman has 3 children, find the probability that she has 1 or more boys
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Help me answer Test HI. Graph the following systems of inequalities. Shade darker and clearly the common solution set 1. 2x+2y512 2. 2x+y26 2x+4y28 5x+6y$30 y22 3x+6y218 x21 x22 y53
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Homework: Section Question 7, 10.1.15-BE HW Score: 36.36%, 4 of 11 points
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A} Write out the null and alternative hypothesis for this ANOVA test
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Let R1 and R2 be commutative rings with identity. What are the units of R1 R2? (Justify your answer).

A contractor has recorded the number of jobs performed in the last seven months. a.Draw a graph of the number of jobs (as y) and time (as x). Be sure to label the axes. For each of the following methods, develop a forecast for the number of jobs for the 8 th month. b.A three-period moving average c.Exponential smoothing (use Minitab default

Opponents of the change in the tax codeclaimed that the change would save firms less than $5000 per year. Do the results ( based on the 95% confidence interval in domain of (6309.763, 8290.234)) contradict this claim? State "yes" or "no" and then explain, briefly but clearly ?

What is the difference between cooing and intonation? Question 7 options: Cooing is an attempt at combining consonant and vowel sounds. Intonation consists of single vowel sounds. Cooing is a string of single vowel sounds made by an infant of approximately two months. Intonation is a form of babbling occurring at about six months. Cooing is a

Your assignment is to analyze the pine tree data for both species. 1) Determine the population means (average) for age and diameter (DBH) of both species 2) Use a t-test to determine if age and diameter are significantly different between the two species. List will require two separate t-test. 3) Preform a regression analysis for the following
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Figure 36-4 A graph of Inflation Rate versus Unemployment Rate shows a straight line, for convenience called Line 1, decreasing linearly from (1, 7) to (7, 1), a second straight line, for convenience called Line 2, decreasing linearly from (1, 9) to (8, 2) and a vertical line, for convenience called Line 3, extending from the horizontal axis at

10. 0 I17 points A ball thrown upward at 24 ftlsec from a platform 16 feet above the ground Is 5m = 16 + 24: 16:2 feet above the ground t seconds after It has been thrown. (a) Find the velocity and acceleration of the ball as functlons of time. V\") = E (b) How long does It take (in seconds) for the ball to get back to the platform? :52: (c) How
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Question 5 a) Sarah earns a salary of $78 000. Find out her weekly gross pay. (1 mark) . . . . . ........... . . . . .... b) Charlie gets paid a wage of $765 for a 35 hour week. What is his hourly wage? (1 mark) . . . . . . ...... . . . . . .. C ) Gerry works a 35 hour week and is paid at $14.25 an hour. On one week works 6 hours overtime at time
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1. Learning Journal Reflective Comments: You should date each entry, and use clear titles and sub-headings.These entries should be brief, direct sentences indicating quick comments or notes such as: * when you completed each step in the Learning Guide during the week, * any problems or unexpected events that occurred during the week (including

In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and developmental," 2008).Nationally 1 in 88 children are diagnosed with ASD ("CDC features -," 2013).Is there sufficient data to show that the incident of ASD is more in Arizona than nationally? Test at the 1% level. a .)

A local car dealership specializes in selling luxury Malian sports cars. Because of the price premium, the dealership only sells a small number of its sports cars each week. Historically, the dealership has never sold more than 4 sports cars in a week. The accompanying frequency distribution shows weekly sales data from the past 74 weeks. Car
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X 5V2 512 Find the value of x . Write your answer in simplest form
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Both examples above are modeled by a quadratic function with a negative coefficient. Describe what a negative coefficient does to the graph of a quadratic function and explain why this behavior makes sense when dealing with projectile motion. (15 points)

please help with #19 B Solve the linear programming problems stated in Problems 17-38. 17. Maximize P = 10x + 75y subject to x + By = 24 xy20 18. Maximize P = 30x + 12y subject to 3x + y = 18 xyZO 19. Minimize C = &x + 9y subject to 5x + 6y 2 60 xy20 20. Minimize C = 15x + 25y subject to 4x + 7y = 28 XYZ0 21. Maximize P = 5x + 5y subject to 2x + y
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Determine the center and radius of the circle with the given equation. (x - 5)2 + (y - 8)2 = 25 center ( x y) = sniped
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B C A D E Q Find an Euler path for the graph. Enter your response as a sequence of vertices in the order they are visited, for example, ABCDEA
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NAME PERIOD DATE SCORE 7 Chapter 7 Quiz 1 (Lessons 7-1 and 7-2) 1. The ratios of measures of the angles in AABC is 4:13:19. Find the measures of the angles. 1. 2. SCHOOL ELECTIONS Henrietta conducted a random survey of 60 students and found that 36 are planning to vote for her as class president. If there are 460 students in Henrietta's class,
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unsure on how to start this ? What is the relationship between used car mileage and asking price? Is it positive or negative? Is it weak or strong? You are responsible for answering these questions by conducting a small research study. First, select an automobile model and year (at least three years old) that is of interest to you. Then, find at

The following data shows the results for 20 students in one of the post graduate unit. 42 66 67 71 78 62 61 76 71 67 61 64 61 54 83 63 68 69 81 53 Based on the information given you are required to i. Compute the mean, median and mode. (3 marks) ii. Compute the first and third quartiles. (1 mark) iii. Compute and interpret the 90th percentile. (1

Exercise 1 Nonlinear equations Name and briefly describe a numerical method that can be used for solving nonlinear equations in more than one variable. Exercise 2 Exam review Please formulate one question (or a subject area) that you would like to have discussed during the exam review

On November 15 - 18, 2012 Gallup conducted a survey of 1,015 randomly selected U.S. adults about "Black Friday" shopping. They asked the following question: "As you know, the Friday after Thanksgiving is one of the biggest shopping days of the year. Looking ahead, do you personally plan on shopping on the Friday after Thanksgiving, or not?" Of the

ACTIVITY 3. Find the future value F of the following ordinary annuities. Write your answer in a separate answer sheet. 1. Jerod started to deposit P5,000 quarterly in a fund that pays 1% compounded quarterly. How much will be in the fund after 5 years? 2. Find the present value of an ordinary annuity of P5,000 payable semi-annually for 10 years if
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To do so, the following system of two equations with two unknowns must be solved: .31 = .06 + 1.5 x RP| + 2.0 x RP2 .27 = .06 + 2.2 x RP] + (-.2) x RP2 The solution to this set of equations is RP1 = 10% and RP2 = 5%
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The amygdala responds most strongly to which type of emotional expressions? Group of answer choices Expressions of happiness or sadness Expressions that include both sight and sound Expressions that require some effort to understand Expressions that are directed away from the viewer

nation Status: QUESTION 26 5 points A psychologist wants to examine the effect of three different parenting styles (permissive, authoritative, and authoritarian) on number of friends that a child has. The psychologist wants to see if there if a difference among the 3 different parenting styles. The data is listed below, Assume alpha of 0.05. What
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Discuss the differences between sampling and nonsampling error. Explain what can be done to reduce both when using a sample. Describe the risks that could occur when sampling error is high or nonsampling error is not considered.

PLEASE PROVIDE ANSWERS FOR QUESTION 1 TO 5: For each question choose the correct answer (a, b, c or d.) and a brief explanation for your chose( working out would helpful if it applies) QUESTION 1 A researcher is investigating a new financial awareness program, designed to reduce the amount of money people spend on credit cards. She randomly
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Please help with the following statics question: The truss is made from five members, each having a length of 4m mand a mass of 9kg/m (image below). If the mass of the gusset plates at the joints and the thickness of the members can be neglected, determine the distanced to where the hoisting cable must be attached, so that the truss does not tip
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STAT PLOT /tan 9861 Name: -Janell Collins AQR 51 Class: Date: Length of Daylight (Connections to Sinusoidal Functions) The parent function y = sin(x) can be transformed using four parameters. Each parameter describes a certain characteristic of the graph . y = Asin[B(x - C)] + D .A represents the amplitude of the graph. The amplitude is the
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Linear programming, could I get some help 11. Recall the Kelson Sporting Equipment problem (Chapter 2, Problem 22). Letting R = number of regular gloves C = number of catcher's mitts leads to the following formulation: Max 5R+ 8C SJ. R + %C s 900 Cutting and sewing 53R + 14c 5 300 Finishing 1A\"? + 'AC 5 100 Packaging and shipping R, C 2 0 The
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Flexibility Activity Video Link: The purpose of this activity is for you to experience different types of stretching including static, dynamic, PNF, ballistic, and foam roll. 1. Standing tall, fold forward and try to touch your toes or the ground. Take note of how far you reached and how it felt (e.g. I can touch mid shin.). Record in the box

(2) (10 points) You also watched a video by 3Blue 1Brown about finding Pythagorean triples using complex multiplication. That is, integers a, b, c for which a^2 + b^2 = c^2. If you remember, the idea is to start with any integers m, n, create the complex number p = m + in, and then calculate p^2 which will be a+bi. I would like you to create your
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How do I enter in SPSS a ratio scale and interval scale? I created a survey and I could enter nominal scale and ordinal scale, but I am confused. The survey question are: How likely is that you would recommend your college to a friend? Not likely Extremely likely 0 1 2 3 4 5 6 7 8 9 10 How many hours day do you spend on internet? 0-2 hours 2-4

Dr.Wilson develops a new measure of performance anxiety.He calculates a Cronbach's alpha coefficient of .85. The measure can be said to be accurate. precise. reliable. valid.

4. All of the following factors are reasons for the growth of benefits except: A. foreign competition. B. unions. C. cost effectiveness of benefits. D. government impetus
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A market research firm believes a new color scheme for a client's website causes a change in the time spent reading the site. The firm randomly selected 6 of the pages on their client's site, and used the new color scheme on Saturday and theold color scheme on Sunday. The average time in minutes that people spent on each of the 6 pages was

Which of the following are feasible equations of a least squares regression line for number of dollars left in an endowment providing college scholarships in each of its first ten years if it was entirely funded by a single donation? Select the correct answer below: y=269,000+8300x y=69,0008300x y=269,0008300x y=269,0008300x y=08300x

1.In your sock drawer you have 2 types of socks (short and long) in different colors: Blue short: 2Black short: 3Black long: 5Brown short: 4Pink long: 1 a.What is the probability of drawing a black pair of socks at random? [1 point] b.What are the odds of drawing the pink socks? [1 point] c.What is the probability of drawing a blue or short pair

Which of the following is the surface parameterized as a = u cos v, y = usinv, z = sin (2u - ;)? O 10 20 -10 O 140\f
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Solve the system graphically, and indicate whether each solution region is bounded or unbounded. Find the coordinates of each corner point. 2x + y12 x + y11 x + 2y12 x0 y0 HW Score: 81.67%, 8.17 of 10 points s BT R Question 9, 5.2.37 Homework: Week 7 Homework St Solve the system graphically, and indicate whether each solution region is bounded or
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The table and scatterplot below describe the relationship between latitude and average July temperature in the twelve largest U.S. cities. City Latitude (x) July Temp (y) New York 40 77 Los Angeles 34 74 Chicago 42 75 Houston 29 84 Philadelphia 40 77 Phoenix 33 94 San Diego 32 71 San Antonio 29 85 Dallas 32 86 San Jose 37 70 Detroit 42 74
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On the planet Maximillian live Sprogs and Graks. Initially there were 4000 sprogs and 500 Graks. The population of Sprogs doubles every 10 years and that of Graks doubles every 5 years. a. When are there as many Sprogs as Graks?

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