Math proportion/fraction and percent word problems need help!?
i have been working on these all night and cannot figure these out please help. If 1 and 3/4 cups of flour are required to make 50 cookies, how many cups of flour are required for 96 cookies? (round answer to the nearest .25 cups) You can use proportions to estimate the height of a tree. John is 6 feet tall, and his shadow is 10 and 1/2 feet long. How high is a tree whose shadow is 90 feet long? On one map, 1/3 inch represents 14 miles. If two cities are 2 and 1/2 inches apart on the map, what is the actual distance between them?
What percentage of the world’s population is taller than 6 feet?
20%
Height and proportion question.?
Height is proportional to foot length. A person whose foot length is 10 inches is 67 inches tall. A human like creature has a foot length of 21 inches. Use a proportion to find the height of the creature. How many inches tall is the creature?
The volume of a cylinder is directly proportional to its height and to the square of its radius.If the height is halved while the radius is tripled, what will be the percentage change in the volume of the cylinder?
Radius = rHeight = h Volume = VNew Volume = V'V is proportional to h*(r^2)V' is proportional to (1/2)*h*(3*r)^2V/V' = 2/9Now, percentage of change of volume (P)= (V'-V)*100/VP= [(V'/V)-1]*100P= [(9/2)-1]*100P= 7*50%P= 350%There is a 350% increase in volume of cylinder.
At what percentage of its original height does a dropped ball bounce back?
Other answers missed "half the speed" start from height h, then v = √(2gh) v₁ = √(2gh₁) going up, speed is halved v₂ = (v₁/2) = √(2gh₂) combining (1/2)√(2gh₁) = √(2gh₂) (1/4)(2gh₁) = (2gh₂) (1/4)(h₁) = (h₂) h₂ = (1/4)(h₁) so it bounces back to 1/4 the height .
What proportion of their sons would be color-blind and of normal height?
since the mother is color-blind, both of her x chromosomes have the color blind gene. Since the father has to pass the Y-chromosome on to his son, the son's only X chromosome comes from the mother. This means that 100% of their sons will inherit an X chromosome featuring the color blind gene from their mother, making them all color blind. As far as height is concerned, the father's father was tall which means he was double recessive for the dwarfism gene, so the father must be a heterozygote, having gotten the dominant dwarfism gene from his mother. The woman is normal height which means she must also be homozygous recessive. Crossing a heterozygote with a homozygous recessive we get 2 offspring which are heterozygotes and 2 which are homozygous recessive, meaning 50% of their children (the heterozygotes) will be dwarfs, and 50% (the homozygous recessive) will be normal height. Combining the 100% color-blind with the 50% normal, we get 1.00*.50 or 50% of the children are both color-blind and normal height.
Do women have longer legs as a percentage of total height than men?
No. The opposite.Georgena Terry, a mechanical engineer and serious cyclist, founded a bicycle company on this basis. "This observation is purely anecdotal, though. There are studies which measure the lengths of men’s and women’s legs, arms, upper bodies, and so on. These measurements show that women have shorter legs and longer torsos than men as a proportion of their heights."The issue of bike fit is actually related to the Center of Mass of the cyclist.Are Women's Body Proportions Different From Men's? -
What percentage of the Southern population owned slaves at the beginning of the American Civil War?
Most estimates are from 5-8% of white southerners owned slaves. Sometimes there are higher estimates of as much as a third of white southerners owning slaves, but these are derived from counting all members of slave owning families. Most slave owners owned under 10 slaves. The majority of slaves were on plantations with at least 100 slaves, and those were owned by fewer than 3,oo0 families. There have been sensational claims by Confederate apologists about "Black slave owners." The great majority were Black fathers buying the freedom of family members. Most of the remaining were actually Creoles, French-Black mixed ancestry people who identified as much or more as French than Black. There were some American Indian slave owners among the Five Tribes of OK, about 5% of the population. Several tribes, esp. the Cherokee, practiced very conventional Anglo-American style slavery. Some like the Seminole were slave owners in name only. The owners demanded half the crops grown by slaves as tribute. They were also bound to their slaves by fictive kin relationships.
How do you find cumulative proportion?
You need more information than Jacob's score. But what I think you would do is: find the average (mean) of the distribution of all ACT scores and the variance (and therefore standard deviation) of all ACT scores. Since so many people took the ACT it would be approximately a normal distribution and your test statistic would be: Z = (Jacob-mean)/standard deviation. Then you would look up Z in a standard normal table which would tell you the amount of data less than or equal to Z on a normal curve and it would be approximately 0.15 or 15%.
What proportion of people in the Roman Empire were slaves throughout its history?
Slave collar - Inscription reads - I have fled. If you find me, take me back to my master. Reward expected.This excellent paper puts the Italian slave population at 15-25% of the total population at the height of the slave holding regime. It is a highly probabilistic study, but it is nevertheless one of the best out there...https://www.princeton.edu/~pswpc... Ideally, slave totals would be tallied up from local or sectoral counts. Inthe absence of such data, I have tried to construct a probabilistic model thatseeks to simulate this process by aggregating individual estimates for thelikely demand for slaves in different sectors of the Italian economy (Scheidel2005a). Needless to say, this method necessarily entails huge margins of errorand cannot provide more than a rough notion of final outcomes under certainstarting assumptions about the scale of domestic service or agriculturalinputs. For this reason, my estimate of around 600,000 non-farming slaves inlate Republican and early imperial Italy cannot be more than a highly tenuousconjecture. It may be somewhat less hazardous to assess levels of ruralslavery, given that slave numbers can be linked to specific labor requirements.Rural slave numbers assume a pivotal role in any reconstruction of serviledemography: in an ‘organic’ economy, for the share of slaves in the overallpopulation to have been very large (e.g., along the lines of New World slavesocieties), the majority of slaves would need to have been employed in thecountryside. However, in view of constraints on the expansion of cash crop farmingand other areas of rural employment, this is very unlikely to have been thecase in Roman Italy. Barring some fundamental misconceptions about the natureof Italian farming, it would seem difficult to defend an estimate in excess ofthree quarters of a million agricultural slaves, and a significantly lowertotal is certainly plausible. In my model, the most probable range of outcomesis consonant with a cumulative total of between one and one and a half millionslaves in Italy at the peak of this labor regime, equivalent to some 15-25% ofthe total population.2 In the most general terms, there can be little doubtthat despite their potentially vital contribution to agricultural production,slaves were disproportionately concentrated in the cities (Jongman 2003).