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
professor190 [17]
3 years ago
8

The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park

started tracking them. Since then, there have been one fourth as many new flowers each year. Create the sigma notation showing the infinite growth of the wildflowers and find the sum, if possible.

Mathematics
2 answers:
Andreas93 [3]3 years ago
5 0

Answer:

Step-by-step explanation:

We have total 1200 wildflowers in first year that is first term a  is 1200

We have to find sigma notation  showing the infinite growth of the wildflowers.

wildflowers=\sum_{i=1}^{\infty }1200(\frac{1}{4})^{i-1}

Formula for infinite sum of GP is S_{\infty}=\frac{a}{1-r}

Here, a=1200,r=\frac{1}{4}

On substituting the values in the formula of sum we get:

S_{\infty}=\frac{1200}{1-\frac{1}{4}}

On simplification we get:

S_{\infty}=\frac{1200}{\frac{3}{4}}=1600

Therefore, total sum of wildflowers 1600.

Aleonysh [2.5K]3 years ago
3 0

To answer this question, please see the attached image:

 

I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

You might be interested in
Simplify the expression:<br><br> 4(9p + 1)
Tju [1.3M]

Answer:

36p+4

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
F(t)=212-6t<br>what is the value of t when F (t) = 140?<br><br>​
Sladkaya [172]

Answer: -628

Step-by-step explanation:

F(140) = 212 - 6(140)

F(140) = 212 - 840

F(140) = -628

8 0
2 years ago
What is the fraction of 36000
ivann1987 [24]
36000 over 1 to get the fraction of 36000
8 0
3 years ago
One concern of a gambler is that she will go broke before achieving her first win. Suppose that she plays a game in which the pr
Ray Of Light [21]

Answer:

The probability that she wins exactly once before she loses her initial capital is 0.243.

Step-by-step explanation:

The gambler commences with $30, i.e. she played 3 games.

Let <em>X</em> = number of games won by the gambler.

The probability of winning a game is, <em>p</em> = 0.10.

The random variable <em>X</em> follows a Binomial distribution, with probability mass function:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0, 1, 2,...

Compute the probability of exactly one winning as follows:

P(X=1)={3\choose 1}(0.10)^{1}(1-0.10)^{3-1}\\=3\times0.10\times0.81\\=0.243

Thus, the probability that she wins exactly once before she loses her initial capital is 0.243.

4 0
3 years ago
The variable n represents a whole number
lukranit [14]
And what else? What's the question?
4 0
3 years ago
Read 2 more answers
Other questions:
  • Please help!!! I don’t understand this at all.
    13·2 answers
  • (x + -5) • -2 &gt; 4<br> What is/are the number/s that x can be?
    6·1 answer
  • Use the given conditions to write an equation for the line in​ point-slope form and general form. Passing through (8 comma negat
    10·1 answer
  • Pls help and quick I’m running out of time
    15·1 answer
  • 3 and 5 over 12 divided by 2 and 1 over 6
    9·1 answer
  • There are 30 boys in 6th grade. The number of girls in 6th grade is 40. Abigail says that means the ratio of the number of boys
    15·1 answer
  • Simplify the expression by combining like terms: x + 7x
    15·2 answers
  • Determine the two consecutive integers between which the given number is located on the number line.
    14·1 answer
  • 19. which one of the following is not equal to the rest? a 2% of 150 b. % of 400 b 3 c. 6% of 60 d. 69 of 50​
    11·1 answer
  • Juan leaned a 55-foot ladder against the side of a building. The base
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!