Physics College

The ice and steam points on a thermometer correspond to X and 50mm respectively. A temperature of 60 °C corresponds to 52 mm on the thermometer. Calculate the value of X

Answers

Answer 1

X corresponds to 20 mm on the thermometer.

To calculate the value of X, we can use the concept of linear interpolation.We can estimate a value between two known points on a straight line using linear interpolation.

In this case, we have three data points: X corresponding to an unknown temperature, 60 °C corresponding to 52 mm, and 100 °C corresponding to 50 mm.

We can set up a proportion based on the relationship between temperature and the corresponding position on the thermometer:

(60 - X) / (100 - X) = (52 - 50) / (50 - X)

Simplifying the proportion:

(60 - X) / (100 - X) = 2 / (50 - X)

Cross-multiplying:

(60 - X)(50 - X) = 2(100 - X)

Expanding and simplifying:

3000 - 110X + X^2 = 200 - 2X

Putting all terms on the same side of the equation:

X^2 - 108X + 2800 = 0

Solving this quadratic equation yields two solutions: X = 20 and X = 88.

However, since the ice and steam points on a thermometer typically correspond to 0 °C and 100 °C, respectively, we can eliminate the X = 88 solution. As a result, the value of X is 20.

Therefore, X corresponds to 20 mm on the thermometer.

For more such questions on thermometer, click on:

https://brainly.com/question/2339046

#SPJ8

Related Questions

Other Questions
Determine the total area under the standard normal curve in parts (a) through (c) below.(a) Find the area under the normal curve to the left of z=-1 plus the area under the normal curve to the right of z=1The combined area is__________(Round to four decimal places as needed.)(b) Find the area under the normal curve to the left of z=-1.52 plus the area under the normal curve to the right of z=2.52The combined area is__________(Round to four decimal places as needed.)(c) Find the area under the normal curve to the left of z=-0.26 plus the area under the normal curve to the right of z=1.10.1The combined area is__________(Round to four decimal places as needed): Enter the correct answer that completes the sentence below. For the geometric sequence having ay = 4 and r=3, the term a5 II A survey of 1500 people is conducted to determine whether they prefer Pepsi or Coke. The results show that 27% of people prefer Coke while the remaining 73% favour Pepsi. Estimate the margin of error in the poll with a confidence of 90%. 1. When governments set a price cap above the equilibrium pricea. All consumers are better offb. None of the other optionsc. Only some consumers are better offd. Everyone is better off2. When governments set a price cap below the equilibrium pricea. All consumers are better offb. None of the other optionsc. Everyone is better offd. Only some consumers are better off3. A characteristic of an oligopoly is:a. There are many firms in the market.b. Trying to reach a cooperative market outcome is an option.c. Firms only consider their own cost and prices.d. None of the other options A differentiation strategy works best in which of the following market circumstances?A) When buyers incur low costs in switching to rival brandsB) When most competitors are resorting to clever advertising to try to set their product offerings apartC) When new and improved products are introduced frequentlyD) When there are many ways to differentiate the product or service that have value to buyersE) When buyers have a low degree of bargaining power and purchase the product frequently murray was in the following marginal tax brackets: federal, 35 percent; state, 7 percent; local, 4 percent. what is his total marginal tax bracket? Hint(s) o Use 6.87 days as a planning value for the population standard deviation. a. Assuming 95% confidence, what sample size would be required to obtain a margin of error of 0.5 days? Do not round intermediate calculations. Round your answer up to the nearest whole number. b. If the precision statement was made with 90% confidence, what sample size would be required to obtain a margin of error of 2 days? Question Find the polar coordinates of a point with Cartesian coordinates (2,y) = = (-3,5). 2 2 Select the correct answer below: O (2,7) O (5,7) O (5,5) O (2,5) O (2,5) O (5,5") Andrew thinks that people living in a rural environment have a healthier lifestyle than other people. He believes the average lifespan in the USA is 77 years. A random sample of 20 obituaries from newspapers from rural towns in Idaho give x=79.68 and s=1.47. Does this sample provide evidence that people living in rural Idaho communities live longer than 77 years?(a) State the null and alternative hypotheses: (Type "mu" for the symbol , e.g. mu >1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1) H0 : HA :(b) Find the test statistic, t = how does a heap spray differ from a buffer overflow attack? which statistic is most impressive? (fgpct, points, assists, steals) which statistic is least impressive? (fgpct, points, assists, steals) Concord Company issued $468,000 of 10%, 20-year bonds on January 1, 2020, at 102. Interest is payable semiannually on July 1 and January 1. Concord Company uses the effective-interest method of amortization for bond premium or discount. Assume an effective yield of 9.7705%. Prepare the journal entries to record the following. (Round intermediate calculations to 6 decimal places, eg. 1.251247 and final answer to O decimal places, eg. 38,548. If no entry is required, select "No Entry" for the account titles and enter O for the amounts. Credit account titles are automatically indented when amount is entered. Do not indent manually) (a) The issuance of the bonds. (b) The payment of interest and related amortization on July 1, 2020. (c) The accrual of interest and the related amortization on December 31, 2020. Date Account Titles and Explanation Debit Credit 1/1/20 7/1/20 12/31/20 19. (7 points) Listed below are the speeds (mi/h) measured from southbound traffic on I-280 near Cupertino, California. This simple random sample was obtained at 3:30 PM on a weekday. Let represent the population mean speed of all such cars. Use a 0.05 significance level to test the claim that the population mean speed of all such cars is less than 65 mi/h. Assume that the population of all speeds is normally distributed.67 66 66 62 66 59 64 63 64 74 65 72a. Write the null hypothesis, the alternative hypothesis, identify which one is the claim, and provide the significance level.b. Use your calculator to find the p-value. Include the calculator feature and the numbers entered.c. State your decision (reject the null/fail to reject the null) like we did in class.d. State your conclusion like we did in class. A resistor and an inductor are connected in series to a battery. The time constant for the circuit represents the time required for the current to reachA) 25% of the maximum current.B) 37% of the maximum current.C) 50% of the original value.D) 63% of the maximum current.E) 75% of the maximum current. Discuss five major reasons why secondary brand association isimportant in brands management. If you oversaw the safety of a Nuclear Power Plant would embraceNatural Accident Theory and High Reliability Organizing? Explainwhy. On a recent biology quiz, the class mean was 16 with a standard deviation of 2.3. a. Calculate the Z-score (to 4 decimal places) for a person who received score of 22. Z-score for Biology Quiz: b. The same person also took a midterm in their marketing course and received a score of 82. The class mean was 76 with a standard deviation of 5.4. Calculate the z-score (to 4 decimal places). Z-score for Marketing Midterm: c. Which test did the person perform better on compared to the rest of the class? Select an answer d. Find the coefficient of variation for the Biology Quiz. Give answer as a percent to 3 decimal places. C-Var for Biology Quiz: e. Find the coefficient of variation for the Marketing Midterm. Give answer as a percent to 3 decimal places. C-Var for Marketing Midterm: f. Which test scores were more variable? Select an answer e Briefly explain how to estimate equity beta using a regressionapproach and figure out potential problems when estimatingbeta. Researchers were interested in comparing heights of women in two different countries. Independent random samples of 9 women from each country yielded these heights (inches). USA: 64.1, 66.4, 61.7, 62, 67.3, 64.9, 64.7, 68, 63.6 Japan: 65.3, 60.2, 61.7, 65.8, 61, 64.6, 60, 65.4, 59 Use a 90% C.I. for the difference, Mean(USA) - Mean(Japan), to determine if Mean (USA)> Mean (Japan) Which statement is correct? (0.16, 4.22) Using Alpha = .05, we fail to reject the null and therefore have there is not enough evidence that the Mean(USA) is greater than Mean(Japan) because 0 is in the interval a. (0.19, 4.25) Using Alpha = .05, we reject the null and therefore have strong evidence that the Mean(USA) is greater than Mean(Japan) because 0 is not in the interval b. (0.16, 4.22) Using Alpha = .025, we reject the null and therefore have strong evidence that the Mean(USA) is greater than Mean(Japan) because 0 is not in the interval c. (0.16, 4.22) Using Alpha = .05, we reject the null and therefore have strong evidence that the Mean(USA) is greater than Mean(Japan) because 0 is not in the interval d. (0.16, 4.22) Using Alpha = .05, we fail to reject the null and therefore have there is not enough evidence that the Mean(USA) is greater than Mean(Japan) because 0 is not in the interval Answer the following questions about the sphere whose equation is given by x2+y2+z2=x+y+z.1. Find the radius of the sphere. Radius: r=____2. Find the center of the sphere. Write the center as a point (a,b,c) where a, b, and c are numbers.