answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kolezko [41]
2 years ago
13

The state of south dakota has a population of about 814,000 people. Find the population density in people per square miles if th

e following dimensions are given: 380mi (width) 200 mi (hight).
Mathematics
1 answer:
Gnom [1K]2 years ago
4 0

Remark

Not many per square mile. Sounds like an ideal place to live.

Step One

Find the number of Square Miles.

Area = Height * Width

Area = 380 * 200

Area = 76,000 square miles.

Step Two

Find the Density

<u>Formula</u>

Density = Population / Square Miles

Population = 814,000 people

Square miles = 76000

Solve

Density = 814000/76000 = 10.7 people per square mile.

Remark

Isn't that incredible. It means if all the Area of South Dakota were given to the people living there, each family of 4 would get roughly 1/2 a square mile.

You might be interested in
A shipping company borrows $70 million at 5% p.a. compound interest to build a new cruise ship. If it repays the debt after 3 ye
dem82 [27]

Answer:

about 11.03 million

Step-by-step explanation:

Use the equation I = P(1+r/100)^n - P (I is the compound interest, P is the principle, r is the rate percent, and n is the number of years):

Substitute the values given:

I = 70,000,000(1 + 5/100)^3 - 70,000,000

Use a calculator to solve and you will get ~11.03 million.

5 0
2 years ago
Kent has two similar cylindrical pipes, Pipe A and Pipe B. The radius of Pipe A is 6 cm, and the radius of Pipe B is 2 cm. What
Alchen [17]

Answer: C)27:1

Step-by-step explanation:

Given, Kent has two similar cylindrical pipes, Pipe A and Pipe B. The radius of Pipe A is 6 cm, and the radius of Pipe B is 2 cm.

Volume of cylinder = \pi r^2h, where r= radius and h = height.

Also, If two figures are similar then ratio of volume is equal to the cube of any dimension .

The ratio of the volume of Pipe A to the volume of Pipe B is given by :-

\dfrac{\text{Volume of pipe A}}{\text{Volume of pipe B}}=\dfrac{6^3}{2^3}\\\\=\dfrac{216}{8}=\dfrac{27}{1}

Thus, the ratio of the volume of Pipe A to the volume of Pipe B = 27:1

So, the correct option is C)27:1.

7 0
2 years ago
Consider the following function. f(x) = 2/x, a = 1, n = 2, 0.6 ≤ x ≤ 1.4 (a) Approximate f by a Taylor polynomial with degree n
pantera1 [17]

Answer:

Step-by-step explanation: please go through the attached file for detailed explanation .

4 0
2 years ago
Suppose that a process is currently operating at a 3.5-sigma quality level, and it is planned to use improvement projects to mov
jenyasd209 [6]

Answer:

11,373 PPM

Step-by-step explanation:

The following  formula is used to compute the Proportion of error-free units given the sigma level in Excel.

<em>  The proportion of error-free units = NORMSDIST(Sigma Level - 1.5) </em>

Suppose that a process is currently operating at a 3.5-sigma quality level.

The proportion of error-free units for this process is

                           NORMSDIST(3.5 - 1.5) = 0.977250

Therefore, the rejection rate is equal to

                  1 - 0.977250 = 0.022750

or 22750 PPM.

Now, consider a 6-sigma level process.

The proportion of error-free units equals

                     NORMSDIST(6.0 - 1.5) = 0.9999966

and the rejection rate is

                             1 - 0.9999966 = 3.4 PPM

Hence, reduction is PPM required per year , that is

                              \dfrac{22750 - 3.4}{2} = 11,373 PPM

reduction per year

7 0
2 years ago
Judy Clark went to Reel Bank. She borrowed $7,800 at a rate of 6 1/2%. The date of the loan was September 2. Judy hoped to repay
abruzzese [7]

Answer:

$7995.85

Step-by-step explanation:

We will use simple interest formula to solve our given problem.

A=P(1+rt), where,

A = Amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

r=6.5\%=\frac{6.5}{100}=0.065

t=\text{141 days}=\frac{141}{365}\text{ year}

A=\$78001+0.065\times \frac{141}{365})

A=\$7800(1+0.065\times 0.38630136986)

A=\$7800(1+0.025109589041)

A=\$7800(1.025109589041)

A=\$7995.85479

A\approx \$7995.85

Therefore, Judy will will pay back on January 20: <u>$7995.85</u>.

8 0
2 years ago
Other questions:
  • Cassie has 20 bracelets. How many can she give to her sister if she wants to keep 11 or more bracelets? What repeats in the poss
    8·1 answer
  • What is the $25 fee Maria’s mother paid when Maria visited the doctor
    10·2 answers
  • A painting crew reported that a job is 3/5 completed what is the fraction of the job remains to be done
    11·1 answer
  • Two shipments of components were received by a factory and stored in two separate bins. Shipment I has​ 2% of its contents​ defe
    9·1 answer
  • Twice a year, for all four years of college, you used your credit card to pay for books and supplies, which amounts to $516 a se
    13·1 answer
  • One way to solve the system is to _____________ a variable.
    14·2 answers
  • What is the measure of angle A in the triangle below? Right triangle A B C is shown. Side B C has a length of 9 and hypotenuse A
    15·1 answer
  • NEED HELP FAST!!!!! The scatterplot represents the total fee for hours renting a bike. The line of best fit for the data is y =
    9·2 answers
  • 2. A boy and his father played 26 games of checkers. For every game the boy lost, he gave his father 5 cents. For every game the
    6·1 answer
  • Mg+rg=2H, solve for g
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!