# Pre-Algebra: reading and interpreting data solving Recent questions in Reading and interpreting data
ANSWERED ### Prove that if a|b and b|c, then a|c.

ANSWERED ### In a gymnastics competition, Paige's score was 37.025. What is Paige's score written in word form?

ANSWERED ### Dani says she is thinking of a secret number. As a clue, she says the number is the least whole number that has three different prime factors. What is Dani's secret number? What is its prime factorization?

ANSWERED ### Studies indicate that drinking water supplied by some old lead-lined city piping systems may contain harmful levels of lead. Based on data presented by Karalekas and colleagues,it appears that the distribution of lead content readings for individual water specimens has mean $$.033 mg/L$$ and standard deviation $$.10 mg/L$$. Explain why it is obvious that the lead content readings are not normally distributed.

ANSWERED ### Interpreting z-scores: Complete the following statements using your knowledge about z-scores. a. If the data is weight, the z-score for someone who is overweight would be -positive -negative -zero b. If the data is IQ test scores, an individual with a negative z-score would have a -high IQ -low IQ -average IQ c. If the data is time spent watching TV, an individual with a z-score of zero would -watch very little TV -watch a lot of TV -watch the average amount of TV d. If the data is annual salary in the U.S and the population is all legally employed people in the U.S., the z-scores of people who make minimum wage would be -positive -negative -zero

ANSWERED ### Copy and complete the following pattern. 1 = 1 1 + 2 = __ 1 + 2 + 3 = __ 1 + 2 + 3 + 4 = __ 1 + 2 + 3 + 4 +5 = __

ANSWERED ### A ferry boat transports tourists among three islands. It sails from the first island to the second island, 4.42 km away, in a direction 37.0° north of east. It then sails from the second island to the third island in a direction 80.5° west of north. Finally it returns to the first island, sailing in a direction 28.0° east of south. (a) Calculate the distance between the second and third islands. km (b) Calculate the distance between the first and third islands.

ANSWERED ### Range Rule of Thumb for Interpreting s The 20 brain volumes $$(cm^{3})$$ from Data Set 8 “IQ and Brain Size” in Appendix B have a mean of $$1126.0\ cm^{3}$$ and a standard deviation of $$124.9\ cm^{3}$$ . Use the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of $$1440\ cm^{3}$$ be significantly high?

ANSWERED ### The approximate metric measurement of length is given for a U.S. customary unit of length. Use your estimation skills to complete the graphic organizer below. Fill in each blank with foot, yard, inch, or mile. Metric Customary 2.54 centimeters→1 0.30 meter→1 0.91 meter→1 1.61 kilometers→1

ANSWERED ### Ramón compró un terreno rectangular para contruir su casa. Las medidad del terreno muestran en la imagen siguiente. Escibe una expresión matemática que represente el área del rectángulo mostra en la imagen. Si el terreno tiene un área A = 18 m2, escribe una expresión matemática que o describa la situación planteada. Analiza la expresión que escribiste. a. Qué diferencia encuantras entre esta expresión respecto a las que estudias en la primera lección del bloque 1? b. Cómo resolverías esta ecuación?

ANSWERED ### Michelle is studying the relationship between the hours worked (per week) and time spent reading (per day) and has collected the data shown in the table. The line of best fit for the data is $$y=−0.79x+98.8$$. Hours Worked (per week) 30405060 Minutes Reading (per day) 75685852 (a) According to the line of best fit, the predicted number of minutes spent reading for a person who works 27 hours (per week) is 77.47. (b) Is it reasonable to use this line of best fit to make the above prediction? Select the correct answer below: 1.The estimate, a predicted time of 77.47 minutes, is unreliable but reasonable. 2.The estimate, a predicted time of 77.47 minutes, is reliable but unreasonable. 3.The estimate, a predicted time of 77.47 minutes, is both unreliable and unreasonable. 4.The estimate, a predicted time of 77.47 minutes, is both reliable and reasonable.

ANSWERED ### This is from a recent news article about a study on children using drugs: “The researchers analyzed the data to estimate the average age at first-time use for 18 internationally regulated drugs for each year included in the study. Looking at year-to-year trends, they found that the average age at first use had increased for 12 out of 18 drugs, including alcohol, cocaine, ecstasy, hallucinogens, heroin, inhalants, LSD, marijuana, stimulants, and tobacco products such as cigars, cigarettes and smokeless tobacco. For the other six drugs— crack cocaine, methamphetamines, opioids, PCP, sedatives, and tranquilizers—they found no statistically significant changes in the age at first use.”

ANSWERED ### A soldier on a firing range fires an 8-shot burst from an assault weapon at a full automatic rate of 1000 rounds per minute. Each bullet has a mass of 7.42 g and a speed of 291 m/s relative to the ground as it leaves the barrel of the weapon. Calculate the average recoil force exerted on the weapon during that burst.

ANSWERED ### el diseño de un teatro consta de 27 sillas en la primera fila , 32 en la segunda, 37 en la tercera y asi sucesivamente. se sabe que el teatro tiene 10 filas. ¿ cuantas sillas tiene el teatro?

ANSWERED ### Basic facts and techniques of Boats and Streams of Quantitative Aptitude Boats and Streams is a part of the Quantitative aptitude section. This is just a logical extension of motion in a straight line. One or two questions are asked from this chapter in almost every exam. Today I will tell you some important facts and terminologies which will help you to make better understanding about this topic.

ANSWERED ### Simplification Basic Concepts with Examples Simplification is very easy and important topic according to banking, SSC and other govt. exam perspective. Simplification is based on basic math calculations and some other algebraic topics. Simplification is less time consuming and having higher accuracy.

ANSWERED ### A linear regression was performed on a bivariate data set with variables x and y. Analysis by a computer software package included the following outputs: Sample Size: $$n=15$$ Regression Equation: $$y\hat{e} =0.359 - 1.264x$$ Coefficient of Determination: r square = 0.915 Sums of Squares :$$SSy = 35.617. SSex = 32.589, SSresid = 3.028$$ a. Calculate the standard error Se. b. write a sentence interpreting the value of rsquare. c.What is the value of Pearson's correlation coefficient? d. Determine whether the variables x and y are significant using a $$5\%$$ significance level. You may assume a simple random sample from a bivariate normal populaton.

ANSWERED ### For Questions I&5, use dimensional analysis witt need unit equivalences from this section and fror 1. How many miles is a 10-kilometer race?

ANSWERED ### A new thermostat has been engineered for the frozen food cases in large supermarkets. Both the old and new thermostats hold temperatures at an average of $$25^{\circ}F$$. However, it is hoped that the new thermostat might be more dependable in the sense that it will hold temperatures closer to $$25^{\circ}F$$. One frozen food case was equipped with the new thermostat, and a random sample of 21 temperature readings gave a sample variance of 5.1. Another similar frozen food case was equipped with the old thermostat, and a random sample of 19 temperature readings gave a sample variance of 12.8. Test the claim that the population variance of the old thermostat temperature readings is larger than that for the new thermostat. Use a $$5\%$$ level of significance. How could your test conclusion relate to the question regarding the dependability of the temperature readings? (Let population 1 refer to data from the old thermostat.) (a) What is the level of significance? State the null and alternate hypotheses. $$H0:?_{1}^{2}=?_{2}^{2},H1:?_{1}^{2}>?_{2}^{2}H0:?_{1}^{2}=?_{2}^{2},H1:?_{1}^{2}\neq?_{2}^{2}H0:?_{1}^{2}=?_{2}^{2},H1:?_{1}^{2}?_{2}^{2},H1:?_{1}^{2}=?_{2}^{2}$$ (b) Find the value of the sample F statistic. (Round your answer to two decimal places.) What are the degrees of freedom? $$df_{N} = ?$$ $$df_{D} = ?$$ What assumptions are you making about the original distribution? The populations follow independent normal distributions. We have random samples from each population.The populations follow dependent normal distributions. We have random samples from each population.The populations follow independent normal distributions.The populations follow independent chi-square distributions. We have random samples from each population. (c) Find or estimate the P-value of the sample test statistic. (Round your answer to four decimal places.) (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the ? = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. (e) Interpret your conclusion in the context of the application. Reject the null hypothesis, there is sufficient evidence that the population variance is larger in the old thermostat temperature readings.Fail to reject the null hypothesis, there is sufficient evidence that the population variance is larger in the old thermostat temperature readings. Fail to reject the null hypothesis, there is insufficient evidence that the population variance is larger in the old thermostat temperature readings.Reject the null hypothesis, there is insufficient evidence that the population variance is larger in the old thermostat temperature readings.
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