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Sloan [31]
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)
Mathematics
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

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2 (Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!
Ivanshal [37]

Answer:

This series is divergent

F

Step-by-step explanation:

we are given a series

Firstly, we will find nth term

Numerator:

3, 4, 5,...

so, nth term will be

a_n=n+3

Denominator:

4,5,6,....

so, nth term will be

b_n=n+4

so, we can find it's nth term as

c_n=\frac{n+3}{n+4}

we can use divergent test

\lim_{n \to \infty}  c_n=\lim_{n \to \infty} \frac{n+3}{n+4}

we can divide top and bottom by n

\lim_{n \to \infty}  c_n= \lim_{n \to \infty} \frac{n/n+3/n}{n/n+4/n}

\lim_{n \to \infty}  c_n= \lim_{n \to \infty} \frac{1+3/n}{1+4/n}

now, we can plug n=inf

\lim_{n \to \infty}  c_n= \frac{1+0}{1+0}

\lim_{n \to \infty}  c_n=1

Since, it is non-zero value

so, this series is divergent


8 0
4 years ago
Can someone check my answers to see if they are correct please? They are on the 2nd page. Thank you!
soldier1979 [14.2K]

Answer:

Yes, all your answers are correct.

They are correctly matched with their reasons.

3 0
3 years ago
Please help!!!! i will give max points i can
mixer [17]

Answer:

$9

Step-by-step explanation:

These are given:

Total = 22

Cost for shoes = 4

Total games played = 2

Cost per game (g)= ?

So,

22 = 4 + 2(g)

-4      -4

18 = 2g

divide by 2

9 = g

$9 per game

5 0
3 years ago
Read 2 more answers
a) Everyone on the team talks until the entire team agrees on one decision. O b) Everyone on the team discusses options and then
insens350 [35]

Answer:

a) Everyone on the team talks until the entire team agrees on one decision.

Step-by-step explanation:

Option B consists of voting and not everyone would like the outcome. Option C is making an outsider the decision maker, which can't be helpful since he / she won't have as strong opinions as the team itself. Option D is just plain wrong as it defeats the purpose of team work and deciding as one team. So, I believe option A makes the most sense

8 0
3 years ago
Robert's dog is 4 years older than Karen's cat. In 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. How
mylen [45]

Answer:

5.5 years old.

Step-by-step explanation:

Let D represent present age of Robert's dog and C represent present age of Karen's cat.

We have been given that Robert's dog is 4 years older than Karen's cat. We can represent this information in an equation as:

D=C+4...(1)

We are also told that in 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. After 3 years age of dog and cat would be D+3 and C+3 respectively.

We can represent this information in an equation as:

D+3+C+3=13...(2)

From equation (1), we will get:

C=D-4

Upon substituting this value in equation (2), we will get:

D+3+D-4+3=13

Combine like terms:

2D+2=13

2D+2-2=13-2

2D=11

\frac{2D}{2}=\frac{11}{2}

D=5.5

Therefore, Robert's dog is 5.5 years old right now.

3 0
3 years ago
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