Mathematics, 27.10.2019 02:43 wrightstephanie193

Astudent would like to find the height of a statue. the length of the statue's right arm is 48 feet. the student's right arm is 2 feet long and her height is 5 1/3
feet. use this information to find the height of the statue. how close is the approximate height to the statue's actual height of 128 feet, 3 inches from heel to top of head?

Answers: 3

Show answers

Answers

Calculated (approximate) height ot the statue: 128 feetHow close is the approximate height to the actual height: very close, with a small error of 3 in or 0.2%

Explanation:

This problem is about proportions. A proportion an equality between two ratios.

In this case, you assume that the ratio of length of the student's right arm and his height is equal to the ratio of the statue's right arm and its height.

Let's use the following variables to work more neatly:

Length of the student's right arm: A₁ = 2 ft Height of the studend: H₁ = 5 1/3 Length of statue's right arm: A₂ = 48 ftHeight of the statue: H₂ = x (unknown)

Proportion:

$\frac{A_1}{H_1} =\frac{A_2}{H_2}\\\\\frac{2ft}{5\frac{1}{3}ft } =\frac{48ft}{x}$

Convert the mixed number into improper fraction:

$5\frac{1}{3}=5+\frac{1}{3}=\frac{15+1}{3}=\frac{16}{3}$

Continue with the proportion:

$\frac{2ft}{\frac{16}{3}ft } =\frac{48ft}{x}\\ \\ x=\frac{48.\frac{16}{3} }{2}ft\\ \\ x=128ft$

Thus, the calculated height of the statue is 128 feet.

Error:

To determine how close is the approximate height to the statue's actual height of 128 feet, 3 inches from heel to top of head, calculate the difference (absolute error):

Absolute error = [128 feet + 3 inches] - [128 feet] = 3 inches.

So, the absolute error is 3 inches.

You can also calculate the percent error:

Percent error = | Calculated value - True value / True value × 100Percent error = 3 in / [128 ft + 3in] × 100Percent error = 3 in / [1536 in + 3 in] × 100 = 3 in / 1539 in × 100Percent error = 0.19% ≈ 0.2% Which is a very low error and the approximation is very close to the actual height.

Answer from: Quest

the function makes a strait line horizontally with no x intercept but a y intercept at 9.

Answer from: Quest

step-by-step explanation:

i found the life tables for the year 2012.

life table of males at age 30. probability of dying between ages x and x+1

total population:

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old.

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497

Another question on Mathematics

Mathematics, 21.06.2019 18:50

7. the area of the playing surface at the olympic stadium in beijing isof a hectare. what area will it occupy on a plan drawn to a scaleof 1: 500?

Answers: 3

Answer

Mathematics, 21.06.2019 19:00

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

Liz is shipping a package to her friend. the maximum weight of a medium flat-rate box is 20 pounds, including the box which weighs 6 ounces. write and solve an inequality to describe the possible weight in pounds, w, of the contents that liz will ship to her friend if she must use a medium flat-rate box. use the drop-down menus to explain your answer.

Answers: 2

Answer

Mathematics, 22.06.2019 00:30

Aline has a slope of negative 1/4 the past two points -5/4 and 1 what is the equation of the line

Answers: 2

Answer

You know the right answer?

Astudent would like to find the height of a statue. the length of the statue's right arm is 48 feet....

Questions

Mathematics, 23.09.2019 19:30

Add. (2x2+4−x3)+(−4x2+6x3−2) express the answer in standard form. enter your answer in the box....