1answer.
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
tresset_1 [31]
3 years ago
8

The area of a square garden is 1/81 km2. How long is each side?

Mathematics
1 answer:
Rzqust [24]3 years ago
4 0
If the area of a square garden is 1/81km2 
that means 2 sides were multiplied to find the area. 
since it is a square all sides are the same, what number multiplied by itself equals 1/81...
1/9 x 1/9 equals 1/81 
which means each side is 1/9km
You might be interested in
Please answer all parts of the question and all work shown.
faust18 [17]

Answer:

a. 0.4931

b. 0.2695

Step-by-step explanation:

Given

Let BG represents Boston Globe

NYT represents New York Times

P(BG) = 0.55

P(BG') = 1 - 0.55 = 0.45

P(NYT) = 0.6

P(NYT') = 1 -0.6 = 0.4

Number of headlines = 5

Number of depressed articles = 3 (at most)

a.

Let P(Read) = Probability that he reads the news the first day

P(Read) = P(He reads BG) and P(He reads NYT)

For the professor to read BG, then there must be at most 3 depressing news

i.e P(0) + P(1) + P(2) + P(3)

But P(0) + P(1) + .... + P(5) = 1 (this is the sample space)

So,

P(0) + P(1) + P(2) + P(3) = 1 - P(4) - P(5)

P(4) or P(BG = 4) is given as the binomial below

(BG + BG')^n where n = 5, r = 4

So, P(BG = 4) = C(5,4) * 0.55⁴ * 0.45¹

P(BG = 5). = (BG + BG')^n where n = 5, r = 5

So, P(BG = 5) = C(5,5) * 0.55^5 * 0.45°

P(0) + P(1) + P(2) + P(3)= 1 - P(BG = 4) - P(BG = 5)

P(0) + P(1) + P(2) + P(3) = 1 - C(5,4) * 0.55⁴ * 0.45¹ - C(5,5) * 0.55^5 * 0.45°

P(0) + P(1) + P(2) + P(3) = 0.7438

For the professor to read NYT, then there must be at most 3 depressing news

i.e P(0) + P(1) + P(2) + P(3)

But P(0) + P(1) + .... + P(5) = 1 (this is the sample space)

So,

P(0) + P(1) + P(2) + P(3) = 1 - P(4) - P(5)

P(4) or P(NYT = 4) is given as the binomial below

(NYT+ NYT')^n where n = 5, r = 4

So, P(NYT = 4) = C(5,4) * 0.6⁴ * 0.4¹

P(NYT = 5). = (NYT + NYT')^n where n = 5, r = 5

So, P(NYT = 5) = C(5,5) * 0.6^5 * 0.4°

P(0) + P(1) + P(2) + P(3)= 1 - P(NYT = 4) - P(NYT = 5)

P(0) + P(1) + P(2) + P(3) = 1 - C(5,4) * 0.6⁴ * 0.4¹ - C(5,5) * 0.6^5 * 0.4°

P(0) + P(1) + P(2) + P(3) = 0.6630

P(Read) = P(He reads BG) and P(He reads NYT)

P(Read) = 0.7438 * 0.6630

P(Read) = 0.4931

b.

Given

n = Number of week = 7

P(Read) = 0.4931

R(Read') = 1 - 0.4931 =

He needs to read at least half the time means he reads for 4 days a week

So,

P(Well-informed) = (Read + Read')^n where n = 7, r = 4

P(Well-informed) = C(7,4) * (0.4931)⁴ * (1-0.4931)³ = 0.2695

3 0
3 years ago
Fx = 15x - 41x + 14 How do you figure this out?
PSYCHO15rus [73]
Ask a tutor to help
5 0
3 years ago
Please help me with this I will give out extra points with the brain this math question 1/5
AlladinOne [14]
Well the green path would b shorter so i would say c .. hope this helps!
7 0
2 years ago
Read 2 more answers
Someone please help me please
Katyanochek1 [597]

For the first one. An equilateral triangle is one with three equal sides. An isosceles triangle is one with two equal sides. Therefore, every equilateral triangle is isosceles, but not every isosceles triangle is equilateral. So far, so book.

For the second one. Right triangles are defined as triangles that contain a right angle, where a right angle is an angle with a measure of 90°. Isosceles triangles are defined as triangles that have two sides of equal length.

4 0
3 years ago
Read 2 more answers
last year Rafael opened an investment was count with $5,500 at the end of the year the amount in the account has been decreased
Vlad1618 [11]

Answer: The new amount is 0.78*5500. Which is 4290. The decrease is 5500-4290=1210.

5 0
3 years ago
Other questions:
  • A hotel has $504 to buy new pillows. If the cost of each pillow is $6, how many pillows will the hotel be able to buy? A) 78 B)
    8·2 answers
  • Unscramble the words
    6·2 answers
  • Help me plz on #18 plz
    7·2 answers
  • Mary has 18 more points than George. George has twice as many as Carrie. Carrie has 2 fewer points than Jennifer. Jennifer has 1
    7·1 answer
  • If diameter of a circle is twice as large as the diameter of a smaller circle, What
    15·1 answer
  • Helpppp meeeeeee asssapppp noooo rockyyyyyy
    13·1 answer
  • HELP this is important!
    12·1 answer
  • (PLEASE HELP ASAP IM NOT VERY GOOD AT FRACTIONS AND PLEASE SHOW A PICTURE)
    10·2 answers
  • What happens to the median of the data set below if the number 10 is added?
    10·1 answer
  • The population of a rabbit colony triples every 3 days. The population starts at 10 rabbits. Write an exponential function that
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!