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Khan Academy Donate [ Giselle Clem our weekly streak! week streak Level 1 (i) Fred's basement is flooded. The basement floor is 3.4 meters below ground level. The top of the water is 2.2 meters below ground level. The following equation describes this situation. -3.4+1.2=-2.2 What does 1.2 tell us? Choose 1 answer: (A) The water is 1.2 meters deep. (B) The top of the water is 1.2 meters below ground level.

Khan Academy\newlineDonate [\newlineGiselle Clem\newlineour weekly streak!\newlineweek\newlinestreak\newlineLevel 11\newline(i)\newlineFred's basement is flooded. The basement floor is 33.44 meters below ground level. The top of the water is 22.22 meters below ground level.\newlineThe following equation describes this situation.\newline−3.4+1.2=−2.2-3.4+1.2=-2.2\newlineWhat does 11.22 tell us?\newlineChoose 11 answer:\newline(A) The water is 11.22 meters deep.\newline(B) The top of the water is 11.22 meters below ground level.

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The function b(t) b(t) gives the temperature (in degrees Celsius) of a pan of brownies by time t t (in minutes).\newlineWhat does ∫06b′(t)dt=93 \int_{0}^{6} b^{\prime}(t) d t=93 mean?\newlineChoose 11 answer:\newline(A) At t=6 t=6 minutes, the temperature of the brownies is 9393 degrees Celsius.\newlineB) At t=6 t=6 minutes, the brownies have an instantaneous rate of temperature change of 9393 degrees Celsius per minute.\newline(C) During the first six minutes, the temperature of the brownies increases an average of 9393 degrees Celsius per minute.\newline(D) The temperature of the brownies increased by 9393 degrees Celsius in the first six minutes.
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Posted 7 months ago

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The number of subscribers to a magazine is changing at a rate of r(t) r(t) subscribers per month (where t t is time in months).\newlineWhat does ∫810r′(t)dt=7 \int_{8}^{10} r^{\prime}(t) d t=7 mean?\newlineChoose 11 answer:\newline(A) As of month 1010 , the magazine had 77 subscribers.\newline(B) The average rate of change in subscribers between month 88 and month 1010 was 77 subscribers per month.\newline(C) The number of subscribers increased by 77 between t=8 t=8 and t=10 t=10 months.\newline(D) The rate of change of number of subscribers increased by 77 subscribers per month between t=8 t=8 and t=10 t=10 months.
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Posted 7 months ago

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A grocery store receives a shipment of bananas. The percent of the shipment that is still suitable for sale is decreasing at a rate of r(t) r(t) percent of the original shipment per day (where t t is the time in days). At t=2 t=2 , the grocery store found 85% 85 \% of the shipment to be suitable for sale.\newlineWhat does 0.85+∫24r(t)dt=0.6 mean?  0.85+\int_{2}^{4} r(t) d t=0.6 \text { mean? } \newlineChoose 11 answer:\newline(A) As of the fourth day, 60% 60 \% of the bananas suitable on the second day are still suitable.\newline(B) Between the second and fourth days, 60% 60 \% of the remaining bananas became unsuitable for sale per day.\newline(C) Between the second and fourth day, another 60% 60 \% of the bananas became unsuitable for sale.\newline(D) As of the fourth day, 60% 60 \% of the shipment was still suitable for sale.
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Posted 7 months ago

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The number of people exposed to a certain illness is increasing at a rate of r(t) r(t) people per day (where t t is the time in days). At t=12 t=12 , there were 115115 people exposed to the illness.\newlineWhat does 115+∫1220r(t)dt 115+\int_{12}^{20} r(t) d t represent?\newlineChoose 11 answer:\newline(A) The change in the number of people exposed to the illness between days 1212 and 2020\newline(B) The change in the rate at which people are exposed to the illness between days 1212 and 2020\newline(C) The time it takes for 2020 more people to be exposed to the illness\newline(D) The number of people exposed to the illness at t=20 t=20
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Posted 7 months ago

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The population of a town grows at a rate of r(t) r(t) people per year (where t t is time in years). At t=3 t=3 , the town's population was 10001000 people.\newlineWhat does 1000+∫38r(t)dt=1500 1000+\int_{3}^{8} r(t) d t=1500 mean?\newlineChoose 11 answer:\newline(A) The town's population grew by 15001500 people between t=3 t=3 and t=8 t=8 .\newline(B) The town's population grew at a rate of 15001500 people per year at t=8 t=8 .\newline(C) The average rate at which the population grew between t=3 t=3 and t=8 t=8 is 15001500 people per year.\newline(D) At t=8 t=8 , the town's population was 15001500 people.
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Posted 7 months ago

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The value of a computer is decreasing at a rate that is proportional at any time to the value of the computer at that time.\newlineThe computer is worth $850 \$ 850 initially, and it is worth $306 \$ 306 after 22 years.\newlineHow much will the computer be worth after 55 years?\newlineChoose 11 answer:\newline(A) $0 \$ 0 \newline(B) $66 \$ 66 \newline(C) $79 \$ 79
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Posted 7 months ago

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The expression 11(1.022)t 11(1.022)^{t} models the per capita gross domestic product (GDP) of the US, in thousands of dollars, as a function of the number of years since 19501950 .\newlineWhat does 11.022022 represent in this expression?\newlineChoose 11 answer:\newline(A) The per capita GDP in the US was $1022 \$ 1022 in 19501950.\newline(B) The maximum per capita GDP occurred 11.022022 years after 19501950 .\newline(C) The per capita GDP in the US is multiplied by approximately 11.022022 each year.
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Posted 7 months ago

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Carbon dating involves the measurement of the amount of carbon−14-14 in a sample. Archaeologists sometimes use carbon dating to estimate the number of years since an organism died. The function shows the ratio, R(t) R(t) , of carbon−14-14 remaining in a sample to the original amount of carbon−14-14 after t t years.\newlineR(t)=2−0.00175t R(t)=2^{-0.00175 t} \newlineIf one sample was 33 times as old as another sample of the same material, how would the carbon−14-14 ratios of the samples relate?\newlineChoose 11 answer:\newline(A) The ratio of the older sample would be 33 times the ratio of the newer sample.\newline(B) The ratio of the newer sample would be 33 times the ratio of the older sample.\newline(C) The ratio of the older sample would be the cube of the ratio of the newer sample.\newline(D) The ratio of the newer sample would be the cube of the ratio of the older sample.
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Posted 7 months ago

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The average production cost for major movies is 6767 million dollars and the standard deviation is 2323 million dollars. Assume the production cost distribution is normal. Suppose that 4646 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 44 decimal places where possible.\newlinea. What is the distribution of XX? \newlineX∼N(67,232)X \sim N(67, 23^2)\newlineb. What is the distribution of xˉ\bar{x}? \newlinexˉ∼N(67,(2346)2)\bar{x} \sim N\left(67, \left(\frac{23}{\sqrt{46}}\right)^2\right)\newlinec. For a single randomly selected movie, find the probability that this movie's production cost is between 6969 and 7373 million dollars. \newline232300\newlined. For the group of 4646 movies, find the probability that the average production cost is between 6969 and 7373 million dollars. 232344\newlinee. For part d), is the assumption of normal necessary?\newlineNo\newlineYes\newline232355
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Posted 7 months ago

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Chapter 33 - Homework\newlineSaved\newlineHelp\newlineExercise 33−51-51 (Algo) Multiproduct CVP Analysis (LO 33−4-4)\newline11.1111\newlinepoints\newlineSkIpped\newlineeBook\newlineHint\newlinePrint\newlineReferences\newlineGeorgeland Cycles makes and sells two models of electric bicycles. The Commuter (a folding model) sells for $2,503.00\$2,503.00 and the Tour\newlineX (a fat-tire trail model) sells for $4,503.00\$4,503.00. Unit variable costs for the Commuter are $1,753.00\$1,753.00 and for the Tour\newline-X$3,203.00\$3,203.00. Annual fixed costs at Georgeland are $488,050\$488,050. The marketing manager estimates that the annual mix of sales is 3030 percent Commuter model and 7070 percent Touring model.\newlineRequired:\newlinea. How many of each model ebike must Georgeland Cycles sell every year to break even?\newlineb. How many of each model ebike must Georgeland Cycles sell every year to earn operating profits of $102,150\$102,150 before taxes?\newlineComplete this question by entering your answers in the tabs below.\newlineRequired \newlineA\newlineRequired B\newlineHow many of each model ebike must Georgeland Cycles sell every year to break even?\newline\newlineCommuter\newlineTour-\newlineX\newline\newlineBreak-even ebikes\newline\newlineRequired \newlineB
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