Ask question

Ask question

All categories

1 year ago

12

The 20 tallest buildings in the world have an average height of 1,667.25 feet, with a standard deviation of 318.31 feet. The Zif

eng Tower and the Wuhan Center have heights of
1,476 feet and 1,437 feet, respectively. The Shanghai Tower and Marina 101 have z-scores of 1.27 and -0.84, respectively.
Part A: List these four buildings in order from shortest to tallest. (5 points)
Part B: Mathematically explain your reasoning and be sure to include all necessary calculations. (5 points)

1 answer:

omeli [17]1 year ago

7 0

The list of the buildings arranged in the order from shortest to tallest

Marina 101
The Wuhan Center
The Zifeng Tower
The Shanghai tower

The heights in feet shows that

2072 feet(is the tallest) > 1,476 feet > 1,437 feet > 1400 feet (is the least)

<h3>How to arrange the buildings from shortest to tallest</h3>

Given that the z scores are 127 for The Shanghai tower and -0.84 for Marina

z score = (X - mean) / standard deviation

X = z score * standard deviation + mean

The Shanghai tower

= 1.27 * 318.31 + 1667.25 = 2071.5037 feet

Marina 101

= -0.84 * 318.31 + 1667.25 = 1399.8696 feet

The Zifeng Tower

= 1,476 feet

The Wuhan Center

= 1,437 feet

comparing the heights

2072 feet > 1,476 feet > 1,437 feet > 1400 feet

Learn more on z scores at:

brainly.com/question/24213960

#SPJ1

You might be interested in

What is the approximate circumference of a pie pan with a diameter of 15.3 inches? (Use π = 3.14)

JulijaS [17]

C= pi times d
15.3x 3.14= 48.042

4 0

3 years ago

A commercial jetliner has 245 passenger seats.The seats are arranged in 49 equal rows.How many seats are in each row

vampirchik [111]

245 divided by 49 = 5 therefore there are 5 seats in each row.

6 0

3 years ago

Read 2 more answers

A bus travels on an east-west highway connecting two cities A and B that are 100 miles apart. There are 2 services stations alon

melamori03 [73]

Answer:

51/4

Step-by-step explanation:

To begin with you have to understand what is the distribution of the random variable. If X represents the point where the bus breaks down. That is correct.

X~ Uniform(0,100)

Then the probability mass function is given as follows.

$f(x) = P(X=x) = 1/100 \,\,\,\, \text{if} \,\,\,\, 0 \leq x \leq 100\\f(x) = P(X=x) = 0 \,\,\,\, \text{otherwise}$

Now, imagine that the D represents the distance from the break down point to the nearest station. Think about this, the first service station is 20 meters away from city A, and the second station is located 70 meters away from city A then the mid point between 20 and 70 is (70+20)/2 = 45 then we can represent D as follows

$D(x) =\left\{ \begin{array}{ll} x & \mbox{if } 0\leq x \leq 20 \\ x-20 & \mbox{if } 20\leq x < 45\\ 70-x & \mbox{if } 45 \leq x \leq 70\\ x-70 & \mbox{if } 70 \leq x \leq 100\\ \end{array}\right.$

Now, as we said before X represents the random variable where the bus breaks down, then we form a new random variable $Y = D(X)$ , $Y$ is a random variable as well, remember that there is a theorem that says that

$E[Y] = E[D(X)] = \int\limits_{-\infty}^{\infty} D(x) f(x) \,\, dx$

Where $f(x)$ is the probability mass function of X. Using the information of our problem

$E[Y] = \int\limits_{-\infty}^{\infty} D(x)f(x) dx \\= \frac{1}{100} \bigg[ \int\limits_{0}^{20} x dx +\int\limits_{20}^{45} (x-20) dx +\int\limits_{45}^{70} (70-x) dx +\int\limits_{70}^{100} (x-70) dx \bigg]\\= \frac{51}{4} = 12.75$

3 0

4 years ago

85 points, please answer ASAP question below, my brain is hating me today, I feel like this is easy but I just can't get it

san4es73 [151]

Answer:

25

Step-by-step explanation:

420 - 45 = 375

375 / 15 = 25

5 0

3 years ago

Read 2 more answers

2(3 – 4a) + 5(a – 7) what are the steps to solve this? please.

Doss [256]

2(3-4a) + 5(a-7) first do the distributive property
6-8a + 5a-35 now combine like terms
-41 - 3a is the final answer

7 0

4 years ago

Read 2 more answers