The number of coyotes observed in a day on a field trip possesses a distribution with a mean of 2.3 coyotes per day with a variance of 2 coyotes per day. A random sample of 100 days was observed, and the mean number of coyotes for the sample was calculated. Describe the sampling distribution of the sample mean. approximately normal with mean

Answers

Answer 1

Answer:

approximate normal with mean is 2.3 and the variance is 0.2

Step-by-step explanation:

Given that

The mean is 2.3 coyotes per day

The variance is 2 coyotes per day

The random sample is 100 days

We need to describe the sample mean and approximate normal with mean

So,

= 2 ÷ √100

= 0.2

So approximate normal with mean is 2.3 and the variance is 0.2

The same would be considered and relevant


Related Questions

x+y=11
x-y=-5
Please anyone help?

Answers

Answer:

3,8

Step-by-step explanation:

you can use the app photo math. just take a picture and you will get your answer

Answer:

[tex]x=3[/tex]

[tex]y=8[/tex]

Step-by-step explanation:

The process of elimination is a method of solving a system of equations. This process includes manipulating a system of equations such that one variable present in both equations has its coefficients as additive inverses. When one adds the equation, this variable will cancel, one can solve for the other variable using inverse operations, and then back solve for the eliminated variable.

[tex]\left \{ {{x+y=11} \atop {x-y=-5}} \right.[/tex]

As one can see, the coefficients of variable (y) are already additive inverses of each other (1), (-1), therefore, one can add the systems right away.

[tex]\left \{ {{x+y=11} \atop {x-y=-5}} \right.[/tex]

[tex](x)+(y)+(x)+(-y)=(11)+(-5)[/tex]

Simplify,

[tex]2x=6[/tex]

Inverse operations,

[tex]x=3[/tex]

Backsolve for (y), substitute the value of (x) into one of the original equations to find the value of (y),

[tex]x+y=11\\[/tex]

Substitute,

[tex](3)+y=11[/tex]

Inverse operations,

[tex]y=8[/tex]

Please ASAP! All I know is that the pH is 3

Answers

Answer:

B

Step-by-step explanation:

this is simply logarithm

3 = -log(H)

-3 = log H

H= 10^-3

H= 0.001

Solve for x. Enter the solutions from least to greatest. 5x^2 - 20x + 15 = 0

Answers

Answer:

x = {1, 3}

Step-by-step explanation:

5x² - 20x + 15 = 0x² - 4x + 3 = 0x² - 4x + 4 = 1(x - 2)² = 1√(x - 2)² = √1x - 2 = ± 1x = 2 ± 1x = 1, x = 3
Yea it is correct the answer is x=3
X=1

I need help with problem number 3 if someone can help me with that

Answers

Plug in x into the equation. Take x= -2 for example. Your equation is 2x-5, so instead of x, you put -2.
2(-2)-5 = -9
Your table is as follows:
(-2,-9)
(-1,-7)
(0,-5)
(1,-3)

Find the perimeter of the shape below. 4 cm 8 cm 14 cm 4 cm 6 cm 8 cm​

Answers

Answer:

44cm

Step-by-step explanation:

4+4+6+8+8+14 =

 8  +  14 +  22=44

Helppp Pleaseeeee???

Answers

Answer:

Prism A

Step-by-step explanation:

5 times 4 times 4 is 100

7 times 3 times 3 is 63

The difference is 17

Solve for x 8-2x = 5( x4) ​

Answers

4/11 because when you multiply 5x4x you get 20x , so 8-2x=20x. Then you move the terms with variables and get -2x-20x=-8. This gives you the answer that -22x=8 and when u divide by 22 to both sides, you get 4/11.

help me plzz
4X + 24 - X + 5 ≤ 62

Answers

Answer:

Combine like terms:

3x + 29 ≤ 62

-29          -29

3x = 33

Divide by 3 on both sides.

x = 11!

Answer:

x is 11

Step-by-step explanation:

4X + 24 - X + 5 ≤ 62

24 + 5

is 29

29-3x  ≤ 62

-3x  ≤  33

-x ≤ 11

x ≥ 11

Instructions
Write a lesson!

You are going to write/ teach a Math Lesson. Requirements are as follows:
You will select a lesson we learned this year. (approved by teacher) Please explain the lesson fully. Make sure to include the lesson and topic.
You will describe the skills and concepts learned in the lesson detailing steps and using examples.
You will use your own descriptions and terminology of the lesson as you have understood the material.
You may use Power Point or any other method, creativity goes a long way!

Answers

don’t know what type of math you want me to do pls tell me :(

y/3 = 5
X - 32 = 74
X + 13 = 65
x/2 = 3
x/4 = 1
3x = 12

Answers

Y=15
X=104
X=52
X=6
X=4
X=4

What do patterns do you notice about finding the area of a triangle?

Answers

Step-by-step explanation:

heres the formula A=12b(base)h(hight)

Answer:

Step-by-step explanation:

It has (1/2) included in the formula to find area

A rectangle has a width of 6 and a length of 2x+8. The area is 108 squared, what is the value of x?

Answers

Answer:

x = 5

Step-by-step explanation:

108 = 6(2x + 8)

108/6 = 18

18 = 2x + 8

18 - 8 = 10

10 = 2x

10/2 = 5

5 = x

HELP !!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

25[tex]\pi[/tex] Or 78.5 units³

Step-by-step explanation:

1/3πr²h

1/3xπx25x3=25π or 78.5

Question :-

Find the volume of the Cone.

____________________

Solution :-

Given Information :-

Radius of the Base of Cone = 5 unitsRadius² = 5² = 25 unitsAltitude = 3 units Value of π = 3.14

To Find :-

Volume of Cone.

Formula Used :-

Volume of Cone = [tex] \sf \frac{1}{3} \pi {r}^{2} h [/tex]

Calculation :-

We will substitute the given values in the formula,

⇒ Volume of Cone = [tex] \sf \frac{1}{3} \pi {r}^{2} h [/tex]

Substituting the values, We get,

⇒ Volume of Cone = [tex] \sf \frac{1}{3} \times 3.14\times 25 \times 3 [/tex]

On further calculating, We get,

∴ Volume of Cone = [tex] \sf 78.5 units³ [/tex]

____________________

Final Answer :-

Volume of Cone = [tex] \bf 78.5 units³ [/tex]

____________________

What is the product of 1/6 ,6/7, 1/4

Answers

Answer:

Step-by-step explanation:

1/6×6/7×1/4

(1×6×1) / (6×7×4)

6  / 168

3 / 84

Maria has a bag with 6 red marbles, 6 blue marbles, and 4 green marbles looking Maria picks one . She does not replace it and she picks another oneOn the first pick, Maria gets a green marble. What is the probability that she gets a red marble on her second pick?

Answers

Answer: Hello there!

initially Maria has 6 red marbles, 6 blue marbles, and 4 green marbles.

You know that in the first pick, Maria gets a green marble ( this means that now there are 3 green marbles left)

Now we want to know the probability that she gets a red marble on the second pick.

Now there are 6 + 6 + 3 = 15 marbles in the bag, and 6 of them are red ones. Then the probability of getting one red is the number of red ones divided by the total amount ( which is the ratio of red marbles to total marbles)

this is 6/15.

now you can see that there is no 6/15 in the options, so we need to see which one is equivalent.

if we took the option C, 2/5, and multiply both denominator and numerator by 3, we get (3*2)/(3*5) = 6/15, then 2/5 and 6/15 are equivalents.

Then the correct answer is C.

Step-by-step explanation:

Laura is bowling 5 games. Her first 4 scores were 103, 143, 101, and 110.
To end up with an average score of at least 126.8, what is the lowest score Laura will need in the fifth
game?

Answers

Answer:

The least 5th score is 177

Step-by-step explanation:

Given

[tex]First\ 4: 103, 143, 101, 110.[/tex]

[tex]Average = 126.8[/tex]

Required

The least 5th score

Represent the 5th score with x.

The average is calculated as:

[tex]Average = \frac{\sum x}{n}[/tex]

So, we have:

[tex]126.8 = \frac{103 + 143 + 101 + 110 + x}{5}[/tex]

[tex]126.8 = \frac{457 + x}{5}[/tex]

Multiply both sides by 5

[tex]634= 457 + x[/tex]

Solve for x

[tex]x = 634- 457[/tex]

[tex]x = 177[/tex]

Find the expected value of the winnings
from a game that has the following
payout probability distribution:
10
Payout ($) 0 2 4 6
Probability 0.5 0.2 0.15 0.1 0.05
Expected Value = [?]
Round to the nearest hundredth.

Answers

Answer: 2.1

Step-by-step explanation:

The expected value of the winnings from the game is $2.1.

How to determine the expected value?

The payout probability distribution is given as:

Payout ($) 0 2 4 6 10

Probability 0.5 0.2 0.15 0.1 0.05

WE need to find the expected value of the winnings from the game.

The expected value is then calculated as:

E(x) = x P(x)

This gives

E(x) = 0 * 0.5 + 2 * 0.2 + 4 * 0.15 + 6 * 0.1 + 10 * 0.05

E(x) = 0 + 0.4 + 0.60 + 0.6 + 0.5

Evaluate the expression

E(x) = 2.1

Hence, the expected value of the winnings from the game is $2.1.

Read more about expected values at:

brainly.com/question/15858152

#SPJ2

A developer is building a scale model of the city. From the roof of an apartment complex, the developer points two lasers at the taller office building across the street. The first laser points to the base of the building and the second laser points to the top of the building. The first laser beam has an angle of depression of 36° and is 155.7 feet long. The second has an angle of elevation of 32° and is 148.6 feet long. How tall is the office building? How far apart are the apartment complex and the office building? Round your answers to the nearest foot.

Answers

Answer:

a. 170 ft b. 126 ft

Step-by-step explanation:

a. How tall is the office building?

The two laser lights with the length of the taller office building, L form a triangle with sides 155.7 feet, 148.6 feet and L with angle 36° + 32° = 68° facing the taller office building.

We use the cosine rule to find the length of taller office building.

So, L² = 155.7² + 148.6² - 2(155.7)(148.6)cos68°

L² = 24242.49 + 22081.96 - 46,274.04(0.3746)

L² = 46324.45 - 17334.56

L² = 28989.89

L = √28989.89

L = 170.26 ft

L ≅ 170 ft

b. How far apart are the apartment complex and the office building?

Using one of the lights, the distance between the buildings, d, the laser light(being the hypotenuse side) and the building (being the opposite side)form a right angled triangle.

So, using the 155.7 feet light at 36 angle,

cos36 = d/155.7

d = 155.7cos36

d = 155.7(0.8090)

d = 125.96 ft

d ≅ 126 ft

Plzz help me I need help I am stumped.... will mark brainliest plzz help​

Answers

Answer:

x = -11

Step-by-step explanation:

3x + 4(3-5x) =1

3x + 12 - 2x = 1

1x + 12 = 1

- 12 - 12

1x/1 -11/1 ×=-11

IF YOU AWNSER THIS ILL GIVE U 5$

Answers

Answer:

choose 1 ball from a bag with 1 red ball and 4 white balls

Step-by-step explanation:

Can someone help me plz

Answers

Answer:

n^15

Step-by-step explanation:

n x 15 is n15 added to the power of will give you your answer

What is an
equation of the line that passes through the points (3, 4) and (-4, -3)?

Answers

Answer:

y=x+1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-4)/(-4-3)

m=-7/-7

m=1

y-y1=m(x-x1)

y-4=1(x-3)

y=x-3+4

y=x+1

1. Which of the following equations would not
contain the point (4, 12)?

A.y = 2X + 9

B.y = -2x + 14-x1

C. y = 2x + 8

D. y = -2x + 20

Answers

I think it’s “c” y=2x+8




can you help me because i dont get it

Answers

Answer:

you have to find the volume and if u need more help just comment and let me know (:

Step-by-step explanation:

please mark brainliest

Answer:

Ok so its pretty simple once you know the formula

V=lwh or lenght x witdh x Height

So for a. it would be 1x4x2=8

B. would be 6x8x8=384

It also doesn't matter which way you multiply them

Step-by-step explanation:

PLEASE HELP WORTH 10 WILL GIVE BRAINILEST

Answers

Answer:

it is 1.

Step-by-step explanation:

brainliest plz

Answer:

12

Step-by-step explanation

HELP, ASAPPP, Unit 1: Performing Transformations

Answers

(3, -3) (5, 3)? I’m so confused right now
Answer:(5,0)

Step by step solution: see photo

9. Find the measure of angle
a
36°
57°

Answers

Answer:

no clue bro

Step-by-step explanation:

ANSWER ASAP DONT SEND A FILE WHAT IS THE TRANSFORMATION????

Answers

Answer: Reflection, Rotation

Answer:

Reflection, then rotation

Step-by-step explanation:

you have to reflect over the line like a mirror, and then you are rotating at the point that 2 and 3 connect at to get the last part.

A young entrepreneur wants to set up a lemonade stand at a busy intersection. Customers arrive at a rate of 38 customers per hour according to a Poisson distribution. Customers will be served at the average rate of 58 customers per hour with exponential service times. What is the average utilization rate (%) of the entrepreneur

Answers

Answer:

65.5%

Step-by-step explanation:

Arrival rate, λ = average number of customers per hour = 38

Servive rate, μ = number of customers attended to per hour = 58

Utilization factor, ρ = λ / μ

ρ = 38 / 58

ρ = 0.6551724

Utilization rate (%) = 0.6551724 * 100% = 65.5%

410 people were surveyed about their favorite color. The circle graph created from the results shows that the slice for red measures 130 degrees. How many people said their favorite color was red?

Answers

148 people

Since we know that the total number of people is 410, we know that the whole circle is equal to 410 people. We know that a full circle is 360 degrees, so our group would be 130 degrees of those 360, or 130/360. Since one complete circle is 410 people, we multiply this by 130/360 to find the number of people that said red is their favorite color is 148.
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