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
Andru [333]
2 years ago
15

A lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 1

00x, where x represents the number of years after 2000. Which of the following is the most reasonable domain and range for the function?
Mathematics
1 answer:
Maru [420]2 years ago
5 0

Answer: x ≥0,y ≥3000

Step-by-step explanation:

that’s what i put and got it right so ‍♀️

You might be interested in
Sometimes data do not follow a normal distribution and are pulled toward the tails of the curve. When this occurs, it is referre
Airida [17]

Answer:

When the tail is pulled toward the right side, it is called a positively skewed distribution

Step-by-step explanation:

When the tail is pulled toward the right side, it is called a positively skewed distribution; when the tail is pulled toward the left side of the curve it is called a negatively skewed distribution (Watzlaf 2016, 361-362).

Generally the right side of a function is reserved for positive variables and the left side is used to represent negative variables, therefore when a function is pulled to the right is considered to be Positively skewed

6 0
3 years ago
One of the earliest applications of the Poisson distribution was in analyzing incoming calls to a telephone switchboard. Analyst
grandymaker [24]

Answer:

(a) P (X = 0) = 0.0498.

(b) P (X > 5) = 0.084.

(c) P (X = 3) = 0.09.

(d) P (X ≤ 1) = 0.5578

Step-by-step explanation:

Let <em>X</em> = number of telephone calls.

The average number of calls per minute is, <em>λ</em> = 3.0.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 3.0.

The probability mass function of a Poisson distribution is:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,3...

(a)

Compute the probability of <em>X</em> = 0 as follows:

P(X=0)=\frac{e^{-3}3^{0}}{0!}=\frac{0.0498\times1}{1}=0.0498

Thus, the  probability that there will be no calls during a one-minute interval is 0.0498.

(b)

If the operator is unable to handle the calls in any given minute, then this implies that the operator receives more than 5 calls in a minute.

Compute the probability of <em>X</em> > 5  as follows:

P (X > 5) = 1 - P (X ≤ 5)

              =1-\sum\limits^{5}_{x=0} { \frac{e^{-3}3^{x}}{x!}} \,\\=1-(0.0498+0.1494+0.2240+0.2240+0.1680+0.1008)\\=1-0.9160\\=0.084

Thus, the probability that the operator will be unable to handle the calls in any one-minute period is 0.084.

(c)

The average number of calls in two minutes is, 2 × 3 = 6.

Compute the value of <em>X</em> = 3 as follows:

<em> </em>P(X=3)=\frac{e^{-6}6^{3}}{3!}=\frac{0.0025\times216}{6}=0.09<em />

Thus, the probability that exactly three calls will arrive in a two-minute interval is 0.09.

(d)

The average number of calls in 30 seconds is, 3 ÷ 2 = 1.5.

Compute the probability of <em>X</em> ≤ 1 as follows:

P (X ≤ 1 ) = P (X = 0) + P (X = 1)

             =\frac{e^{-1.5}1.5^{0}}{0!}+\frac{e^{-1.5}1.5^{1}}{1!}\\=0.2231+0.3347\\=0.5578

Thus, the probability that one or fewer calls will arrive in a 30-second interval is 0.5578.

5 0
3 years ago
Which of the following numbers would be in the solution set to this inequality? Mark all that apply. -2x + 16 ≤ 10
kenny6666 [7]
-2x + 16 < = 10
-2x < = 10 - 16
-2x < = - 6
x > = -6/-2
x > = 3............so any number that is 3 or above is in the solution set
4 0
3 years ago
8. The area of the bigger square at the picture is 32. What is the area of
Karolina [17]

Answer:

16 is the awnser or at least I belive

8 0
2 years ago
Round 4.9451 to the nearest thousandths
maria [59]

Answer:

49.451 this would be the answer

5 0
2 years ago
Read 2 more answers
Other questions:
  • Explain two methods for solving an equation. Give an example.
    7·1 answer
  • Which represents the inverse of the function f(x) = 4x?
    9·1 answer
  • I’m confused on this one
    15·2 answers
  • Need to check algrabic anwsers
    15·1 answer
  • Which decimal is equivalent to - 13/6
    14·1 answer
  • I don’t get it I need help
    13·1 answer
  • The product of five and a number, b<br> Please help
    8·1 answer
  • Which set of measurements could be the interior angle measures of a triangle?
    6·2 answers
  • Pls help I really need it too pass I am begging
    9·1 answer
  • Q.<br><br>x ÷ 2 = 1.000.000.000<br>x = ?​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!