A population of 50 timber wolves was introduced into a forest in 2009. The population is expected to grow by the function p(t)=50e.85t, where t is in years.


a) What will be the population in 2015?

Answers

Answer 1

Answer:

the population in 2015 is 8201.0695

Step-by-step explanation:

Given that

There is a population of the 50 timber wolves

And, the exponential function given is

p(t) = 50 × e^(0.85 × t)

Here t denotes the time period i.e.

= 2015 - 2009

= 6

So,

= 50 × e^(0.85 × 6)

= 8201.095

Hence, the population in 2015 is 8201.0695


Related Questions

What is the unit of measurement for volume? a. units c. cubic units b. units squared d. centimeters

Answers

The answer is b) cubic units / metre

I WILL GIVE U BRAINLIEST!!! A quadratic function is represented by the graph

Answers

Answer:

a)-2

b)(1,-2)

c)-3 and -1

d)3

Step-by-step explanation:

1.)

A.) x = -2

B.) (-2,-1)

C.) -3 and -1

D.) 3

2.)

A.) -10 and -6

B.) -8

C.) maximum is infinite and minimum is (-8,-4)

3.)

A.) y = -0.493x^2 + 23.380x + 996.029

B.) 1266.43

Let x stand for the percentage of an individual student's math test score. 64 students were sampled at a time. The population mean is 78 percent and the population standard deviation is 14 percent. What is the standard deviation of the sampling distribution of sample means?

Answers

Answer:

[tex]\sigma_x= 1.75\%[/tex]

Step-by-step explanation:

Given

[tex]n = 64[/tex]

[tex]\mu = 78\%[/tex]

[tex]\sigma = 14\%[/tex]

Required

The sample standard deviation

This is calculated as:

[tex]\sigma_x= \frac{\sigma}{\sqrt n}[/tex]

This gives:

[tex]\sigma_x= \frac{14\%}{\sqrt {64}}[/tex]

[tex]\sigma_x= \frac{14\%}{8}[/tex]

[tex]\sigma_x= 1.75\%[/tex]

A giant tortoise can travel 0.19 miles in 1 hour. At this rate, how long would it take the tortoise to travel 1 mile?

Answers

Answer:

5.26 hours or 315.6 minutes

Step-by-step explanation:

If he travels 0.19 miles in 1 hour

Then 1 mile is traveled (1x1)/0.19

5.26 approx. hours or 5.26 x 60 mins = 315.6.

Elliot read a report from a previous year saying that 6%, percent of adults in his city biked to work. He wants to test whether this has changed, so he is going to take a random sample of adults in his city and see what percent of them bike to work. Let p represent the proportion of adults in Elliot's city that bike to work.

Required:
What is an appropriate set of hypotheses for his significance test?

Answers

Answer:

The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]

Step-by-step explanation:

Elliot read a report from a previous year saying that 6%, percent of adults in his city biked to work. He wants to test whether this proportion has changed.

At the null hypothesis we test if the proportion is still the same, that is, of 6%. So

[tex]H_0: p = 0.06[/tex]

At the alternate hypothesis, we test if the proportion has changed, that is, it is different of 6%. So

[tex]H_1: p \neq 0.06[/tex]

What is an appropriate set of hypotheses for his significance test?

The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]

CORRECT (SELECTED)

z=\dfrac{0.1-0.06}{\sqrt{\dfrac{0.06(0.94)}{240}}}z=

240

0.06(0.94)

0.1−0.06

:)))))))))))))))))))))))))))))))))))

Answers

Answer:

146

Explanation:

Since it’s a straight line, the whole line degree would be 180. So you just would have to subtract 33 from 180 to get your answer.

Suppose that the probability of a binomial random variable X will be approximated using the normal model. Describe the area under the corresponding normal curve that will be computed for the given scenario.The probability that more than 40 individuals work from home.

The area will be the area to the_____right left of ______.

Answers

The area will be the area to the_____right of ___40.5___.

Givin the equilateral triangle below find the value of y

Answers

Answer:

15°

Step-by-step explanation:

All angles in an equilateral triangle are equal.

Angle sum property of triangle = 180°

<1 + <2 + <3 = 180°

<1 = <2 = <3 = 60°

4y = 60

y = 60/4

y = 15°

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Robin, Steven, and John are comparing tree diagrams for rolling double sixes on two six-sided number cubes (6, 6). Robin thinks the probability is 136 based on the tree diagram they created. Steven disagrees and argues that the probability of rolling double sixes is 16. John counts twelve outcomes and claims the probability is 112.



Who correctly found the probability of rolling double sixes using the tree diagram?
A
Robin because there are 36 outcomes and only one is (6, 6).
B
Steven because there are 6 outcomes and only one is (6, 6).
C
Steven because there are 36 outcomes and six of them are (6, 6).
D
John because there are 6 outcomes for each and only one is (6, 6).

Answers

Answer:

A. Robin because there are 36 outcomes and only one is (6, 6).

Step-by-step explanation:

You would get the probability of double sixes as:

P(6, 6) = 1/6*1/6 = 1/36

Correct choice is A

The Robin because there are 36 outcomes and only one is (6, 6) is the correct option.

We have given that,

Robin, Steven, and John are comparing tree diagrams for rolling double sixes on two six-sided number cubes (6, 6).

Robin thinks the probability is 136 based on the tree diagram they created.

Steven disagrees and argues that the probability of rolling double sixes is 16.

John counts twelve outcomes and claims the probability is 112.

What is the probability?

The formula to calculate the probability of an event is as follows. Probability(Event) = Favorable Outcomes/Total Outcomes

You would get the probability of double sixes as:

P(6, 6) = 1/6*1/6 = 1/36

Correct choice is A.

Therefore the Robin, because there are 36 outcomes and only one is (6, 6).

To learn more about the probability visit:

https://brainly.com/question/25870256

#SPJ2

Find the missing side lengths. leave your answer as radicals simplest form

Answers

Answer:

Step-by-step explanation:

Both of the triangles are special 30-60-90 triangles

and the side lenghts for these angle mesurements are followed : q, q√(3),2q

q is given as 3 from the 9th question

so a = 6 (because it's 2q) and

b = 3

For the 10th question

the side length that sees 30 degrees is 3 which means q = 3 again

and x = 6

y = 3√(3)

which of the following cannot be simplified

✓46
✓72
✓75
✓104

Answers

I’m pretty sure 75 but I’m not 100%

Plz help me well mark brainliest if correct....????

Answers

Answer:

C

Step-by-step explanation:

18 boys

Answer:

i think 18 msy be

Step-by-step explanation:

Pls help ill give u brainlest!! 40 points

Hakeem owns seven less than 3/5 the number of DVDs that Manuel owns. Hakeem owns 20 DVDs. How many DVDs does Manuel own? Show your work.

Answers

Answer:

Manuel owns 5 DVDS

Step-by-step explanation:

3/5 = 12/20

12 - 7 = 5

you watch seven deadly sins?

Manuel owns 5 DVDS

Explanation: 3/5 =12/20

12-7 = 5

Find 14.32 ÷ 3.5. Round your answer to the nearest hundredth.

Answers

Answer: 4.09

Step-by-step explanation:

4.09142857 rounded to the nearest hundredth is: 4.09

Which types of triangles can have three angles that measure less than 90°?

acute triangle
equilateral triangle
right triangle
isosceles triangle

Answers

Answer:

An acute triangle

Step-by-step explanation:

the sum of 12 and one-tenth of x

Answers

Answer:

12 + 1/10x

that would be the expression

Step-by-step explanation:

Fatimah has 40 coins. Some of the coins are 50c coins and the rest are 20c coins. The total value is $16.10. How many 50c coins does Fatimah have?

Answers

Answer:

number of 50c = x

number of 20c = y

total coins 40

x +y = 40 ------(1)

0.5x + 0.2y = 16.10 ------(2)

from (1) => x = 40 - y

substitute x in (2)

0.5(40 -y) + 0.2y = 16.10

20 - 0.5y + 0.2y = 16.10

-0.3y = -3.9

y = 13

from (1) => x = 27

Answer: number of 50c = 27 coins

Which of the following is a major difference between a
hypothesis test with the t statistic formula and the test with a z‐
score?
a) You must know the population variance (or standard
deviation) for the z‐score but not for the t statistic.
b) You use the unit normal table to find critical values for
the z‐score test but not for the t test.
c) You must calculate the sample variance (or standard
deviation) for the t statistic but not for the z‐score.
d) All of the other options are major differences.

Answers

Answer:

What's the key difference between the t- and z-distributions? The standard normal or z-distribution assumes that you know the population standard deviation. The t-distribution is based on the sample standard deviation.

The major difference between a hypothesis test with the t statistic formula and the test with a z‐ score is,

⇒  You must know the population variance (or standard deviation) for the z‐score but not for the t statistic.

What is Standard deviation?

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

We have to given that;

To find the major difference between a hypothesis test with the t statistic formula and the test with a z‐ score.

Now, We know that;

The major difference between a hypothesis test with the t statistic formula and the test with a z‐ score is the population variance (or standard deviation) for the z‐score but not for the t statistic.

Thus, The major difference between a hypothesis test with the t statistic formula and the test with a z‐ score is,

⇒  You must know the population variance (or standard deviation) for the z‐score but not for the t statistic.

Learn more about the standard deviation visit:

https://brainly.com/question/475676

#SPJ2

Aidan looked at how many people ride the morning
ferryboat. He made a dot plot for the data.
58 59 60 61 62 63 64 65 66 67
Number of people who ride
the morning ferry
According to Aidan's data, what is the typical number of people who ride the
morning ferryboat?
A. 58 people
B. 59 people
C. 64 people
a
D. 61 people

Answers

Answer:

Average number of people ride ferry boat = 62 or 63 people

Step-by-step explanation:

Given:

Number of people ride ferry boat

58 59 60 61 62 63 64 65 66 67

Find:

Average number of people ride ferry boat

Computation:

Average mean = Sum of all observation / Number of observation

Average number of people ride ferry boat = [58 + 59 + 60 + 61 + 62 + 63 + 64 + 65 + 66 + 67] / 10

Average number of people ride ferry boat = [625] / 10

Average number of people ride ferry boat = 62.5

Average number of people ride ferry boat = 62 or 63 people

If a rectangle has a length of 10 cm and a width of 12 cm, what is it's perimeter () and area

Answers

Answer:

p=44,A=120

Step-by-step explanation:

P=10+12+10+12

P=44cm

A=10*12

A=120cm^2

Exercise 21.4
Write each of the following quadratic expressions in the form afx+p+
2. 6-2
1. 2r-58-12
4. 4-9-9
3. 20+ 6x-2
5. 3x² - 7x + 4
6. 7y + 19y-6
8. 107 + 9x + 2
7. 22 +51-42
9. 6 + 16x + 10
10.12716
5 Construction and simplification of formulae ar
quatil
inno​

Answers

Answer:

B

Step-by-step explanation:

Sjdxdbnjenide because x029w09

please help me solve this ​

Answers

Answer:

1. 140 degrees

2. 40 degrees

3. 65 degrees

4. 75 degrees

5 115 degrees

Step-by-step explanation:

1. The inside angle adjacent to angle 1 is 40. We know this because a triangle's interior angles have to add up to 180, and the only number when added to 140 (60+80) to equal 180 is 40. That means that 1 has to be the other part to equal 180.

2. The same rule occurs as before. This time angle 1 is 140, and the line they share's angles have to equal 180, so 2 is 40.

3. The same rule occurs as before with the 105 outside the triangle. 40 + X + 75 = 180, which means that 3 is 65.

4. Using the 105 we can deduce that 105 + X = 180.

5. We use the 40, and angle 4 + X to equal 180. Then we use the X to find 5 to be 115.

Sorry if that is confusing. Your book will probably have better explanations that I will.

Jane earns a 5.5% commission on the selling price of each home she sells. She earned $9,020 in commission on the sale of a home. What was the selling price of the home?

Answers

Answer:

"$164000" is the appropriate answer.

Step-by-step explanation:

Let the selling price be "s".

As per the question,

If Jane take 5.5% of selling price i.e.,

= [tex]0.055\times s[/tex]

Given commission,

= $9,020

then,

The selling price will be:

⇒ [tex]0.055\times s=9020[/tex]

                [tex]s=\frac{9020}{0.055}[/tex]

                   [tex]=164000[/tex] ($)    

A binomial experiment is given. Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot, explain why. A survey of U.S. adults found that 37% have been to court. You randomly select 30 U.S. adults and ask them whether they have been to court.

Answers

Answer:

Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], you can use a normal distribution to approximate the binomial distribution.

The mean is of 11.1 and the standard deviation is of 2.64.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Using the normal distribution to approximate the binomial distribution.

This is possible if:

[tex]np \geq 10, n(1-p) \geq 10[/tex]

A survey of U.S. adults found that 37% have been to court. You randomly select 30 U.S.

This means that [tex]p = 0.37, n = 30[/tex]

Test if it is possible:

[tex]np = 30*0.37 = 11.1[/tex]

[tex]n(1-p) = 30*0.63 = 18.9[/tex]

Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], you can use a normal distribution to approximate the binomial distribution.

Mean and standard deviation:

[tex]E(X) = np = 30*0.37 = 11.1[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.37*0.63} = 2.64[/tex]

The mean is of 11.1 and the standard deviation is of 2.64.

Select ALL ordered pairs that are located in the first quadrant of the coordinate plane.
A (-3,8)
B (9,-7)
C (5,4)
D (2,6)​

Answers

Answer:

C, D

Step-by-step explanation:

in the first coordinate plane, both numbers in a coordinate must be positive

3.
Roy jogs at an average speed of 65 meters per minute. If
he targets to cover a distance of 975 meters. How many
minutes does he need to jog?
I need this now!!! ​

Answers

15 minutes

take the answer 975 - 65 every time then you count how much is 65 you get out of 975 then you will get your answer in the answer is 15 minutes

hey:)

it takes 15 minutes

[tex] \frac{1}{65} = \frac{?}{975} \\ 1 \times 975 \div 65 = \\ 975 \div 65 = 15[/tex]

A basket holds n apples. You pick 2n-3 apples, and your friend picks n + 4 apples. Write an expression that represents the number of applies you and your friend picked. Interpret the expression

Answers

Answer:

a

Step-by-step explanation:

hii :)

so we cant add n numbers and not n numbers.

knowing this, we have to somehow put them together.

2n-3+n+4

adding the 2n and n together: 3n-3+4

add -3+4=1

resulting in

3n+1, so the answer is A because n is a full basket and 3 times that is 3 full baskets. (with an extra 1 apple)

i hope this was easy to understand!

Plz help me well mark brainliest if correct.....???

Answers

Answer:

A) Lydia

Step-by-step explanation:

HURRY PLZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer: The Person above is right....Credit goes to that person :)

It is 13

What are 3 combinations to equal the total

Answers

Answer:

1x 2x 3x

Step-by-step explanation:

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