The price of a cellphone was discounted by 15% and then discounted an additional 20%, to be sold at $238. What was the original price of the cellphone? A) $350 Draw.oradd image B) $390 C) $450 D) $680
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Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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- 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 12.43 In the 2009 stress tests applied to the nation’s biggest banks, the U.S. government determined that 10 of them needed a greater cushion of capital in order to absorb losses in a worst-case economic scenario. The banks, the bailout they received, and the additional cushion they were deemed to need are as shown below. Source: “Bank Stress-Test Results,” USA Today, May 8, 2009, p. 3B. x = Bailout y = Added Cash Bank Received Cushion Needed Bank of America $45.0 billion $33.9 billion Wells Fargo 25.0 13.7 GMAC 5.0 11.5 Citigroup 50.0 5.5 Regions 3.5 2.5 SunTrust 4.9…6.9 The study of concentrations of atmospheric trace metals in isolated areas of the world has received considerable attention because of the concern that humans might somehow alter the climate of the earth by changing the amount and distribution of trace metals in the atmos- phere. Consider a study at the South Pole, where, over a 2-month period, seventy air samples were obtained. In thirty-five of the samples, the amount of magnesium was determined. In the remaining thirty-five samples, the amount of europium was determined. Sample Size Sample Mean Sample Standard Deviation Magnesium 35 1.0 2.21 Europium 35 17.0 12.65 a. What are the populations of interest in this study? b. Is there significant evidence of a difference in the mean magnesium and Europium levels? Use a 5 .05. c. What is the level of significance of your test? d. Estimate the mean levels of…
- 7.6 A leading researcher in the study of interstate highway accidents proposes that a major cause of many collisions on the interstates is not the speed of the vehicles but rather the difference in speeds of the vehicles. When some vehicles are traveling slowly while other vehicles are traveling at speeds greatly in excess of the speed limit, the faster-moving vehicles may have to change lanes quickly, which can increase the chance of an accident. Thus, when there is a large variation in the speeds of the vehicles in a given location on the interstate, there may be a larger number of accidents than when the traffic is moving at a more uniform speed. The researcher believes that when the standard deviation in speed of vehicles exceeds 10 mph, the rate of accidents is greatly increased. During a 1-hour period of time, a random sample of 50 vehicles is selected from a section of an interstate known to have a high rate of accidents, and their speeds are recorded using a radar gun. The data…A rodentologist investigating various aspects of the aging process wanted to see whether staying “lean and mean” that is, being under normal body weight would lengthen life span. She randomly assigned newborn rats from a highly inbred line to one of three diets: (1) unlimited access to food, (2) 90% of the amount of food that a rat of that size would normally eat, (3) 80% of the amount of food that a rat of that size would normally eat. She maintained the rats on the three diets throughout their lives and recorded their life spans (in years). Complete a Turkey's post HOC test to determine which one is significantly different2) . In February 2021, the Chicago Tribune reported:“The overdose epidemic that has ravaged Chicago has not spared the nearby suburbs, some of which have death rates comparable to anything seen in the city, according to a report released this week by the Cook County Department of Public Health. ZIP codes in the towns of Worth, Broadview, Maywood, and Forest Park, areas that “have substantially lower median household incomes and higher poverty rates,” have been especially hard-hit, the report said.”In the article, they claimed that lower incomes were associated with higher overdose death rates and that overdose death rates are increasing over time. The data you have been analyzing wasn’t focused on Chicago, obviously. But do your results support the general gist of the statistical argument being made in this Tribune excerpt? Please address:• Do overdose death rates appear to be associated with per capita income (use scatterplot)?• Do overdose death rates appear to be increasing over…
- Globally, 35% of all ridged brittleshell tortoises have spots on their shells. A herpetologist in Citition collects a sample of 38 ridged brittlesell tortoises and finds that 16 of them have spots on their shells. The herpetologist would like to test the claim that the proportion of ridged brittleshell tortoises in Cititon with spots on their shells is greater than 35%. The herpetologist ends up rejecting the null hypothesis. If the actual proportion of ridged brittleshell tortoises in Cititon with spots on their shells is 41%, then what type of error, if any, has occurred? In the problem above, what is the test statistic?High school seniors with strong academic records apply to the nation's most selective colleges in greater numbers each year. Because the number of slots remains relatively stable, some colleges reject more early applicants. Suppose that for a recent admissions class, an Ivy League college received 2,852 applications for early admission. Of this group, it admitted 1,032 students early, rejected 857 outright, and deferred 963 to the regular admission pool for further consideration. In the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. Counting the students admitted early and the students admitted during the regular admission process, the total class size was 2,377. Let E, R, and D represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. (a) Use the data to estimate P(E), P(R), and P(D). (Round your answers to four decimal…Kentville, a community of 10,000 people, resides next to a krypton mine, and there is a concern that the emission from the krypton smelter have resulted in adverse effects. Specifically, Kryptonosis seems to have killed 12 of Kentville’s inhabitants last year. A neighboring community, Lanesburg, has 25,000 inhabitants and is far enough from the smelter to not be affected by the emission. In Lanesburg, only three people last year died of Kryptonosis. Given that the number of deaths in Kentville and their causes last year were: Heart attack=7 Accidents=4 Kryptonosis=12 Other=6 What is the risk of dying of Kryptonosis in Kentville relative to non-contaminated locality?What is the risk of dying of Kryptonosis in Kentville relative to deaths due to other causes? How many times the chance of dying of Kryptonosis compared to dying of accidents ? How many times the chance of dying of Kryptonosis compared to Other causes?
- 3.4 The system is tested on a sample of one hundred computers and the average connection speed is found to be far below 400 kilobits. What hypothesis should probably be rejected? Explain. If the customer needs a connection speed of 400 kilobits to run her application programs, what is the business decision that corresponds to the decision regarding the hypotheses?High school seniors with strong academic records apply to the nation's most selective colleges in greater numbers each year. Because the number of slots remains relatively stable, some colleges reject more early applicants. Suppose that for a recent admissions class, an Ivy League college received 2851applications for early admission. Of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. In the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. Counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. Let E, R, and D represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. a. Use the data to estimate P( E), P(R), and P( D). b. Are events E and D mutually exclusive?…2. A leading researcher in the study of interstate highway accidents proposes that a major cause of many collisions on the interstates is not the speed of the vehicles but rather the difference in speeds of the vehicles. When some vehicles are traveling slowly while other vehicles are traveling at speeds greatly in excess of the speed limit, the faster-moving vehicles may have to change lanes quickly, which can increase the chance of an accident. Thus, when there is a large variation in the speeds of the vehicles in a given location on the interstate, there may be a larger number of accidents than when the traffic is moving at a more uniform speed. The researcher believes that when the standard deviation in speed of vehicles exceeds 10 mph, the rate of accidents is greatly increased. During a 1-hour period of time, a random sample of 50 vehicles is selected from a section of an interstate known to have a high rate of accidents, and their speeds are recorded using a radar gun. The data…