The question is incomplete. Here is the complete question.
Scenario: You are bored during quarantine. However, you have been observing a bird feeder in your backyard and wow... do there seem to be a lot of squirrels in your neighbourhood. You begin to wonder how many squirrels are actually in your neighbourhood and devise an experiment to track their population.
Part 1. Using the data below, estimate the population of squirrels in your neighbourhood as if you employed the Mark-and-Recapture method. Please be sure to include any units in your final answer.
#captured on 06/01/20 10
#captured on 06/30/20 6
#recaptured on 06/30 from 06/01 3
Part 2. Calculate the rate of change in your neighbourhood population of squirrels based on the data from a June 2015 report that indicated a population of 40 squirrels.
Part 3. Calculate the intrinsic growth rate (r) for this population of squirrels based on the data you have acquired so far.
Part 4. Interpretations: In 1-2 sentences, summarize what's happening here (e.g. is the population growing or shrinking or staying the same?) and propose one plausible explanation for this change.
Answer: Part 1: Population of 20 squirrels
Part 2: Rate of change 50%
Part 3: r = -0.1386 anos
Step-by-step explanation: The Mark-and-Recapture method is a method to estimate a population when counting each individual is impractical. The method consists in capture a small population of individuals, mark them and released them back to the population. After a while, you catch another group and record the ones with the mark.
The calculations are made following this formula:
[tex]N=\frac{M*C}{R}[/tex]
N is the estimated population
M is marked individuals
C is total number of captured individuals (with and without the mark) the second time
R is recaptured individuals with the mark.
Part 1: Population of squirrels will be:
[tex]N=\frac{10*6}{3}[/tex]
N = 20
Population of squirrels in 2020 is 20 squirrels.
Part 2: Rate of change is calculated by the change in the population divided by the original population:
rate = [tex]\frac{20-40}{40}[/tex]
rate = - 0.5 or 50%
Part 3: The model for a population growth is exponential:
[tex]N=N_{0}e^{rt}[/tex]
N is population at that moment
N₀ is initial population
r is growth rate
t is period of time
Growth rate will be:
[tex]N=N_{0}e^{rt}[/tex]
[tex]20=40e^{5r}[/tex]
[tex]e^{5r}=0.5[/tex]
[tex]5r=ln(0.5)[/tex]
[tex]r=\frac{ln0.5}{5}[/tex]
[tex]r=-0.1386[/tex]
Growth rate (r) for the population of squirrels after 5 years is [tex]r=-0.1386[/tex] years.
Part 4: The growth rate has a negative sign, which means population is decreasing along the 5 years, so population is shrinking.
One possible explanation is the environment the population are in is lacking the squirrels primary need, i.e., squirrels' food source is diminishing, causing the population to decrease.
The polynomial p is graphed. What is the remainder when p(x) is divided by (x-3)? Your answer should be an integer.
The remainder when p(x) is divided by (x-3) is 1
RemaindersThe remainder of a polynomial can be gotten from graphs and by using the remainder theorem
Divisors
The divisor of an expression is the number or expression that divides an expression
The divisor of the polynomial is given as:
x - 3
Set the above divisor to 0
[tex]x - 3 = 0[/tex]
Add 3 to both sides of the equation
[tex]x = 3[/tex]
Next, we determine P(3) from the graph.
From the graph, we have:
[tex]P(3) = 1[/tex]
Hence, the remainder is 1
Read more about remainder theorems at:
https://brainly.com/question/13328536
Answer:
1
Step-by-step explanation:
trust me I did the doofus test
a 141 inch is cut into two pieces one piece is two times the length of the other . find the length of the shorter piece
Answer:
The second length of the piece because 141 times 2 which is two times the amount of the second piece is 282.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer is 47.
Scores of high school seniors taking the English Regents examination in New York State are normally distributed with a mean of 70 and a standard deviation of 10.
Required:
a. Find the probability that a randomly selected high school senior will have a score between 70 and 75.
b. Find the probability that a randomly selected high school senior will have a score higher than 85.
Answer:
0.19146
0.066807
Step-by-step explanation:
Given that :
Mean (m) = 70
Standard deviation (s) = 10
a. Find the probability that a randomly selected high school senior will have a score between 70 and 75.
X ≤ 70 :
Using : z = (x - m) / s
Z = (70 - 70) / 10
Z = 0 / 10
Z = 0
P( Z < 70) = 0.500
X ≤ 75
z = (x - m) / s
Z = (75 - 70) / 10
Z = 5 / 10
Z = 0. 5
P(z < 0.5) = 0.69146
0.69146 - 0.5000
= 0.19146
b. Find the probability that a randomly selected high school senior will have a score higher than 85.
X ≥ 85
z = (x - m) / s
Z = (85 - 70) / 10
Z = 15 / 10
Z = 1.5
P(z > 1.5) = 0.066807 ( Z probability calculator)
Plz help I will mark brainlest
Answer:
2
Step-by-step explanation:
since 1 inch is 100 miles, that means 200 miles would equal 2 inches
The owner of a flower shop sell 17 roses for $13 What is the cost in dollars per rose? Round your answer to the nearest hundreth Brandmart is selling 8 glue sticks for $3.20. What is the cost per glue stick?
a square had a side length of 9cm. what is the area?
Answer:
81cm^2
Step-by-step explanation:
Answer:
81
Step-by-step explanation:
Let's do a quick refresher on how to find area.
l = length
w = width
a = area
a = l(w)
Since one side is 9cm, and all the sides are equal, you multiply 9x9.
Nine times nine is 81.
Hope it helped!
On a certain day, 525 people
signed up to play softball. If 15 players
are assigned to each team, how many
teams can be formed?
Answer:
35
Step-by-step explanation:
Hello please help I will give brainliest!
Answer:
D
Step-by-step explanation:
¿Cual es el area de un circulo de r=5cm?
Porfavor urgente
Answer:
En este caso, área de un círculo de diámetro 5 cm es de 19,63 cm2
Jim earned $20 of interest on a $4000 deposit that was left in the bank for 9 months. What was the interest rate?
The probability that a college graduate will find a full time job within three months after graduation from college is .27. Three college students, who will be graduating soon, are randomly selected. What is the probability that all three of them will find full-time jobs within three months after graduation from college
Answer:
The probability that all three of them will find full-time jobs within three months after graduation from college is 0.0197.
Step-by-step explanation:
Let X denote the number of college graduates who will find a full time job within three months after graduation from college.
A random sample of 3 college students, who will be graduating soon, are selected.
The probability of X is, p = 0.27.
Each student is independent of the other to find a full time job within three months after graduation from college.
The random variable X follows a binomial distribution with parameter n = 3 and p = 0.27.
Compute the probability that all three of them will find full-time jobs within three months after graduation from college as follows:
[tex]P(X=3)={3\choose 3}(0.27)^{3}(-0.27)^{3-3}[/tex]
[tex]=1\times 0.019683\times 1\\=0.0197[/tex]
Thus, the probability that all three of them will find full-time jobs within three months after graduation from college is 0.0197.
5(3.4k - 7) + (3k + 21)
Answer:
20k - 4
Step-by-step explanation:
Step 1: Write expression
5(3.4k - 7) + (3k + 21)
Step 2: Simplify
Distribute 5: 17k - 35 + 3k + 21Combine like terms (k): 20k - 35 + 21Combine like terms (integers): 20k - 14Consider the finite strings of length 100 drawn from the alphabet of 4 letters {a,b,c,d}. How many of those strings use no more than two different letters?
Answer:
[tex]2^{100} * 6[/tex]
Step-by-step explanation:
length of finite strings = 100
number of letters : 4 { a,b,c,d }
Determine the number of strings that use ≤ two different letters
since the number of letters is 4 and we are allowed to make use of at most 2 different letters
Then the number of ways will be : [tex]^{4} C_{2}[/tex] = 6 ways
now considering the length of the Finite strings
The number of strings that use no more than two different letters
= [tex]2^{100} * 6 ways[/tex]
An account is opened with an initial deposit of $700 and earns 3.3% interest compounded semi annually. What will the account be worth in 3 years
Answer:
772.22
Step-by-step explanation:
A=$700(1+0.0332)2(3). Simplify using the order of operations: A=$700(1.0165)6=$700(1.103174712)≈$772.22.
How do I do this? I am so confused...
1. 12
2. 28
3. 44
This is because when you multiply 4. It also increases the number when you multiply 7.
Answer:
Multiply the first numbers by three and then keep multiplying :)
Step-by-step explanation:
which number is greater 10 cubed or 30 squared
Answer:
10^3= 1000 and 30^2 = 900
Step-by-step explanation:
SOULJA BOY CREATED THE INTERNET!!!!!!!!!!!!!
Answer:
wait what???
Step-by-step explanation:
I don't get it
Answer:
NO WAY
Step-by-step explanation:
Find the missing value using the slope and points m=2/3 and (8, 4) (x, 8)
(I’ll give brainlest answer too whoever answers quick and it’s right I’ll be checking)
Answer:
the missing value should be 14
Step-by-step explanation:
G (x) = x^2 - 3x + 2 , find g (-4) - show work
Answer:
30
Step-by-step explanation:
Plug in -4 wherever you see an x. So:
([tex]-4^{2}[/tex])-(3*-4)+2 --> (16) - (-12) + 2 --> 16 + 12 +2 (two negatives make a positive) --> 28 + 2 = 30
Jimmy wants to serve iced tea at his birthday party. He purchases 14 containers filled with 1.5 liters of tea. Approximately how many gallons of tea did he purchase? (1 gallon is about 3.8 liters)
Answer:
5.5 gallons
Step-by-step explanation:
The answer is 5.5 gallons.
Number of containers = 14
Amount in each container = 1.5 liter
1 gallon = 3.8 liter
Find:Total amount of tea in gallon
Computation:Total amount of tea in gallon = Number of containers × Amount in each container / 3.8
Total amount of tea in gallon = 14 × 1.5 / 3.8
Total amount of tea in gallon = 21 / 3.8
Total amount of tea in gallon = 5.5 liter (Approx.)
Learn more:https://brainly.com/question/20439186?referrer=searchResults
A jury pool has 15 people that are married and 20 people that are not married, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, find the probability that the jury consists of the following. (Give answer as a fraction or a decimal out to at least 4 places. If your answer is very small use scientific notation out to 4 decimal places for example 3.3421E-6.)
Answer:
a
[tex]P(K) = 0[/tex]
b
[tex]P(Z) = 0[/tex]
c
[tex]P(W) = 0.1016[/tex]
d
[tex]P(R) = 0.29[/tex]
Step-by-step explanation:
From the question we are told that
The number of married people is k = 15
The number of people that are not married is u = 15
The number of people selected is e = 12
The total number of people is n = 30
Generally the number of ways of selecting 12 people from the married people is mathematically represented as
[tex]B = ^k C_e[/tex]
Here C stands for combination hence we will be making use of the combination functionality in our calculators
[tex]B = ^{15} C_{12}[/tex]
=> [tex]B = 455[/tex]
Generally the number of ways of selecting 0 people from the not married people is mathematically represented as
[tex]A = ^u C_0[/tex]
=> [tex]A = ^{15} C_0[/tex]
=> [tex]A = 1[/tex]
Generally the number of ways of selecting 12 people from the total number of people is mathematically represented as
[tex]D = ^{n} C_{12}[/tex]
=> [tex]D = ^{30} C_{12}[/tex]
=> [tex]D = 8.6493225 *10^{7}[/tex]
Generally the number of ways of selecting 12 people from the married people is equal to the number of ways of selecting 12 people from not married, also the number of ways of selecting 0 people from the not married is equal to the number of ways of selecting 0 people from the married people, all this is because the number of married people is equal to the number of not married people
Generally the number of ways of selecting 8 people from the married people is
[tex]E = ^{k} C_{8}[/tex]
=> [tex]E = ^{15} C_{8}[/tex]
=> [tex]E =6435[/tex]
Generally the number of ways of selecting 4 people from the not married people is
[tex]F = ^{u} C_{4}[/tex]
=> [tex]F= ^{15} C_{4}[/tex]
=> [tex]F=1365[/tex]
Generally the number of ways of selecting 6 people from the married people is
[tex]G = ^{k} C_{6[/tex]
=> [tex]G= ^{15} C_{6}[/tex]
=> [tex]G=5005[/tex]
Generally the number of ways of electing 6 people from the married people is equal to the number of ways of selecting 6 people from the not married people
Generally the probability that the jury consists of all married people is mathematically represented as
[tex]P(K) = \frac{455 * 1 }{8.6493225 *10^{7}}[/tex]
=> [tex]P(K) = \frac{455 * 1 }{8.6493225 *10^{7}}[/tex]
=> [tex]P(K) = 0.000005[/tex]
=> [tex]P(K) = 0[/tex]
Generally the probability that the jury consists of all not married people is mathematically represented as
[tex]P(Z) = \frac{455 * 1 }{8.6493225 *10^{7}}[/tex]
=> [tex]P(Z) = \frac{455 * 1 }{8.6493225 *10^{7}}[/tex]
=> [tex]P(Z) = 0.000005[/tex]
=> [tex]P(Z) = 0[/tex]
Generally the probability that the jury consists of 8 married and 4 that are not married is mathematically represented as
[tex]P(W) = \frac{ E * F}{D}[/tex]
=> [tex]P(W) = \frac{ 6435 * 1365}{8.6493225 *10^{7}}[/tex]
=> [tex]P(W) = 0.1016[/tex]
Generally the probability that the jury consists of 6 married and 6 that are not married. is mathematically represented as
[tex]P(R) = \frac{G * G}{D}[/tex]
[tex]P(R) = \frac{5005 * 5005}{8.6493225 *10^{7}}[/tex]
=> [tex]P(R) = 0.29[/tex]
justin has 3/4 quart of cranberry juice. If he divides the juice into glasses that hold 1/8 quart, how many glasses can Justin fill
Answer:
6 glasses
Step-by-step explanation:
3/4 = 6/8
Which 2 expressions are equivalent to 647 × 39
Answer:
25233
Step-by-step explanation:
What expressions, please complete your answer!
647 × 39 = 25233
Pls consider marking my answer as Brainliest! It would mean a lot!
Add. Write the answer in standard form.
(9 + 5i) + (11 + 21) =
Answer:
45
Step-by-step explanation:
just add them but why is there a I
Answer:
41+5i
Step-by-step explanation:
Combine like terms; 9+11+21.
What two ratios are equivalent to 10 : 12
Answer:
5/6
Step-by-step explanation:
10:12 can also be expressed as a fraction which is 10/12 then simplify, divide each number by 2 and you will get 5/6
Pls mark as brainliest, thank u and have a wonderful day.
Which decimal number is equal to 1/8?
A. 0.125
B. 0.(125)
C. 0.1(25)
D. 0.12(5)
Answer:
A. 0.125
Step-by-step explanation:
Jane is studying the rate at which the sale of a particular brand of chocolate has increased over the years. The graph below shows the number of bars sold, y, in thousands, after x years since the year 2000:
graph of y equals 15 multiplied by 1.1 to the power of x
What does the y-intercept of the graph represent?
a Price of a bar of chocolate
b Number of bars sold in 2000
c Number of bars sold before 2000
d Rate of increase in the sale of chocolates
Answer:
B. number of bars sold in chocolate
Step-by-step explanation:
i took the test
15.4x7=
Show your work
Answer:
107.8
Step-by-step explanation:
Match the numbers with the correct label.
Answer:
I'm assuming A is -3/7 B is -0.4 and c is -1/5
Bam scored 12 points per game last year. This year he scores 19 points per game. By what percent did his point production change?
Answer:
[tex]\%Change = 58.33\%[/tex]
Step-by-step explanation:
Given
[tex]Initial = 12[/tex]
[tex]Final = 19[/tex]
Required
Determine the percentage change
Percentage change is calculated as thus:
[tex]\%Change = \frac{|FInal - Initial|}{Initial} * 100\%[/tex]
[tex]\%Change = \frac{|19 - 12|}{12} * 100\%[/tex]
[tex]\%Change = \frac{|7|}{12} * 100\%[/tex]
[tex]\%Change = \frac{7}{12} * 100\%[/tex]
[tex]\%Change = \frac{7* 100\%}{12}[/tex]
[tex]\%Change = \frac{700\%}{12}[/tex]
[tex]\%Change = 58.33\%[/tex]