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
brilliants [131]
3 years ago
6

How many sites are show in this data set?

Mathematics
1 answer:
andre [41]3 years ago
3 0

Answer:

The total number of sites are 15 .

Step-by-step explanation:

As shown in question.

The number of sites in 2 shield darter = 3

The number of sites in 3 shield darter = 1

The number of sites in 4 shield darter = 4

The number of sites in 6 shield darter = 2

The number of sites in 7 shield darter = 3

The number of sites in 8 shield darter = 1

The number of sites in 9 shield darter = 1

Thus

Total number of sites =  Number of sites in 2 shield darter + Number of sites in 3 shield darter +  Number of sites in 4 shield darter +  Number of sites in 6 shield darter +  Number of sites in 7 shield darter  +  Number of sites in 8 shield darter + Number of sites in 9 shield darter

Putting the values in above

                                  = 3 + 1 + 4 + 2 + 3 + 1 +1

                                  = 15

Therefore the total number of sites are 15 .

You might be interested in
Por favor me ajudem
attashe74 [19]
Creo que la respuesta es c
4 0
3 years ago
Consider the sequence {an}={3n+13n−3n3n+1}. Graph this sequence and use your graph to help you answer the following questions.
Fantom [35]

Part 1: You can simplify a_n to

\dfrac{3n+1}{3n}-\dfrac{3n}{3n+1} = \dfrac1{3n}+\dfrac1{3n+1}

Presumably, the sequence starts at <em>n</em> = 1. It's easy to see that the sequence is strictly decreasing, since larger values of <em>n</em> make either fraction smaller.

(a) So, the sequence is bounded above by its first value,

|a_n| \le a_1 = \dfrac13+\dfrac14 = \boxed{\dfrac7{12}}

(b) And because both fractions in a_n converge to 0, while remaining positive for any natural number <em>n</em>, the sequence is bounded below by 0,

|a_n| \ge \boxed{0}

(c) Finally, a_n is bounded above and below, so it is a bounded sequence.

Part 2: Yes, a_n is monotonic and strictly decreasing.

Part 3:

(a) I assume the choices are between convergent and divergent. Any monotonic and bounded sequence is convergent.

(b) Since a_n is decreasing and bounded below by 0, its limit as <em>n</em> goes to infinity is 0.

Part 4:

(a) We have

\displaystyle \lim_{n\to\infty} \frac{10n^2+1}{n^2+n} = \lim_{n\to\infty}10+\frac1{n^2}}{1+\frac1n} = 10

and the (-1)ⁿ makes this limit alternate between -10 and 10. So the sequence is bounded but clearly not monotonic, and hence divergent.

(b) Taking the limit gives

\displaystyle\lim_{n\to\infty}\frac{10n^3+1}{n^2+n} = \lim_{n\to\infty}\frac{10+\frac1{n^3}}{\frac1n+\frac1{n^2}} = \infty

so the sequence is unbounded and divergent. It should also be easy to see or establish that the sequence is strictly increasing and thus monotonic.

For the next three, I'm guessing the options here are something to the effect of "does", "may", or "does not".

(c) may : the sequence in (a) demonstrates that a bounded sequence need not converge

(d) does not : a monotonic sequence has to be bounded in order to converge, otherwise it grows to ± infinity.

(e) does : this is true and is known as the monotone convergence theorem.

5 0
3 years ago
Help with this Math problem pleas?
victus00 [196]

This a pretty typical right triangle trig problem; the first step is to figure out what we have and what we want in relation to an acute angle in the problem.

Here we have a right triangle, G=90°, and we're given angle F=23°.  So we have to name everything in relation to F.

31 = FG is <em>adjacent </em>to F.

x = GE is <em>opposite </em>to F.

OK, we have an opposite and adjacent; that tells us we need to use the tangent of F.  Let's write it:

tan 23° = tan F = opp/adj = x/31

Solving,

x = 31 tan 23°

I hate the calculator part.  I used to love that part.

x = 31 tan 23° ≈ 13.16 feet

Answer: 4) x ≈ 13.2 ft

8 0
3 years ago
Divide.<br><br><br>8.64÷(−0.27)<br><br><br>Enter your answer in the box.
Ne4ueva [31]

The answer is -2.3328

7 0
3 years ago
Which equation has exactly one solution?
Alina [70]
I’m pretty sure that it’s b
5 0
4 years ago
Other questions:
  • In the given right triangle, find the missing length to the nearest tenth.
    6·1 answer
  • What steps would you take to compare 2 kilograms and 3,200 grams m
    13·2 answers
  • 1. Solve by elimination.<br> 9x – 5 y = -12<br> -9x + 5y = 12<br> And show work pls
    5·1 answer
  • Toni orders school lunch on Mondays, Wednesdays, and Fridays.
    14·2 answers
  • What is 16.89 x 78.91=? And what is the answer to 16.86 x 78.91 equivalent to?
    12·1 answer
  • Describe a real life situation where you would have a remainder. (Division)
    11·1 answer
  • How to solve <br> (2.31*10^-6)+(5.87*10^-4)
    5·1 answer
  • 33% of what number is 66?<br> A. 200<br> B. 300<br> C. 366<br> D. 660
    12·2 answers
  • Does anyone know how to solve this? Please help
    9·1 answer
  • Plz simplify with steps
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!