Gribbles are small, pale white, marine worms that bore through wood. While sometimes considered a pest since they can wreck wooden docks and piers, they are now being studied to determine whether the enzyme they secrete will allow us to turn inedible wood and plant waste into biofuel.1 A sample of 50 gribbles finds an average length of 3.1 mm with a standard deviation of 0.72. Give a best estimate for the length of gribbles, a margin of error for this estimate (with 95% confidence), and a 95% confidence interval.

Answers

Answer 1

Answer:

The best estimate for the length of gribbles is of 3.1 mm.

The margin of error for this estimate, with 95% confidence, is of 0.2 mm.

The 95% confidence interval is between 2.9 mm and 3.3 mm.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

Best estimate for the length of gribbles

The best estimate is the sample mean, that is 3.1 mm.

Margin of error:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 50 - 1 = 49

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.01

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.01\frac{0.72}{\sqrt{50}} = 0.2[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error for this estimate, with 95% confidence, is of 0.2 mm.

Confidence interval:

The lower end of the interval is the sample mean subtracted by M. So it is 3.1 mm - 0.2 mm = 2.9 mm

The upper end of the interval is the sample mean added to M. So it is 3.1 mm + 0.2 mm = 3.3 mm

The 95% confidence interval is between 2.9 mm and 3.3 mm.


Related Questions

(11x-28) + (10x-17) combine like terms

Answers

Answer:

21x-45

Step-by-step explanation:

(11x-28)+(10x-17)=11x-28+10x-17=21x-45

Hope this helps =]

Hey there!

(11x - 28) + (10x - 17)

= 11x - 28 + 10x - 17

COMBINE the LIKE TERMS

= (11x + 10x) + (-28 - 17)

= 11x + 10x - 28 - 17

= 21x - 45

Therefore, your answer is: 21x - 45

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

What's 9+7
Please help

Answers

Answer:

9 + 7 = 16

9 - 7 = 2

9/7 = 1.28571429

9 x 7 = 63

Step-by-step explanation:

have a good day

Answer:

16

Step-by-step explanation:

because if you add the 9 and 7 together it will get you to 16

for Example:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

1 2 3 4 5 6/7 8 9 10 11 12 13 14 15 16

you just add 9 and 7 and you will get 16

so that answers your question

What's 9+7  Please help

answer: 16

Hope this helps

p(z) = 23-8. Write p(z) as a product of three linear factors

Answers

Answer:

23 of 8

23/8

23-8 is that it? it seems like something I did in class

it is a set of points on given plane which is equidistant from a fixed point called the center​

Answers

Answer: circle

Step-by-step explanation:

The set of points on a given plane which is equidistant from a fixed point that is called the center​ simply describes a circle.

We should note that the straight line that goes through the centre of a circle is referred to as the diameter while half of the diameter is the radius which is drawn from the center of the circle.

Name the first three numbers in this sequence
_ _ _ 80, 160,320,640,1280

Answers

Answer:

10, 20, 40

Step-by-step explanation:

Answer and Step-by-step explanation:

The first three numbers are 10, 20 and 40.

This is because the sequence is being increased by twice the previous number.

To get from 10 to 20, you multiply by 2, to get from 20 to 40, we multiply by 2, to get from 40 to 80, we multiply by 2, to get to 80 to 160, we multiply by 2, and so on.

#teamtrees #PAW (Plant And Water)

-2(x+2)=1/4(-8x-4) how many solutions does this have

Answers

Answer:

It has no solutions.

-2(x+2)=1/4(-8x-4) \

You have to water it down like a normal equation.

-2x-4=-2x-1

& from here you can just tell it won't have any solutions since it is not equal.

You run a hotel with 1465 rooms. You currently have 296 rooms reserved by individuals and 651 rooms reserved by groups for a particular upcoming weekend. Historical trends indicate that this far out from the date in question, your booking rates are probably 67% for individual reservations and 56% for group reservations. Do you expect to be undercooked or overcooked for the upcoming weekend

Answers

Answer:

Hotel is over booked by 140 rooms

Step-by-step explanation:

Total number of hotel rooms = 1465

number reserved by individuals = 296

number reserved by groups = 651

booking rates = 67% for individual ,  56% for groups

Determine if you are under booked or overbooked for the weekend

let X represent the number of rooms booked by individuals

and Y represent the number of rooms booked by groups

number of reserved room for individuals

= 67% of X = 296

X = 67% + 33%

   = 296 + ( (296 / 67 ) * 33 )

   = 296 + 146 ≈ 442

number of rooms reserved for groups

= 56% of Y = 651

Y =( 651 / 56 ) * 100

   ≈ 1163

Total rooms booked = X + Y

                                  = 442 + 1163 = 1605

To determine if under booked or over booked

Total rooms booked - Total number of hotel rooms

 =  1605 - 1465

 =  140 ( Your Hotel is over booked )

PLEASE I NEED HELP CLICK ON THIS IMAGE

Answers

Answer:

24 miles per hour.

Step-by-step explanation:

you divide 144 by 6 to get 24.

Answer:

24 miles per hour

Step-by-step explanation:

To find the mph rate, you just have to take the number of miles traveled, divided by the time.

So:

144 ÷ 6 = 24

Which means they were traveling at 24 miles per hour

training for a cycle race in the first week if I was 195 miles in the second we can manage is 243 Miles what is the percentage increase in distance​

Answers

Answer:

24.61%

Step-by-step explanation:

The distance covered in first week = 195 miles

The distance covered in the second week = 243 miles

We need to find the percentage increase in distance​. It can be calculated as follows :

[tex]\%=\dfrac{243-195}{195}\times 100\\\\=24.61\%[/tex]

So, the increase in distance is equal to 24.61%.

Find the value of x
Pls help

Answers

Answer:

x = 5

Step-by-step explanation:

the sum of the angles is 180

16x - 5 + 22x - 5 = 180

38x - 10 = 180

38x = 190

x = 5

Answer:

5

Step-by-step explanation:

As both angles situated in one straight line

➝There sum will be 180°

➝(16x-5)+(-5+22x)=180

➝16x-5-5+22x=180

➝16x+22x-5-5=180

➝38x-10=180

➝38x=180+10

➝38x=190

➝x=190/38

➝x=5

HELPPPPPPPPPPPPPPPP

A system of linear equation can be solved in two ways. One way is solving by which uses the coordinates of the point of as the answers. Another way is called . In this method we creates opposites to eliminate one of the variables and solve for the other variable. The last method is solving by . In this method we isolate a variable and substitute what is equal to that in the other equation for that variable and solve the last equation that we get.

Answers

Answer:\Another way to solve a system of equations is by substitution. With this method, you are essentially simplifying one equation and incorporating it into the other, which allows you to eliminate one of the unknown variables. Consider the following system of linear equations:

Step-by-step explanation:

hope this helps!

Answer:

Graphing, elimination, substitution are the three methods in order of the question

Step-by-step explanation:

Hao bought a 16-pound bag of dog food. If his dog eats pound of food every day, for how many days will the bag of dog food last?​

Answers

Answer:

uh 1 pound per day 16 pounds so 16 days, i guess

Step-by-step explanation:

If it’s asking for if he eats 1 pound per day than 16 days

Does this graph represent a function? Why or why not?

Answers

Answer:

The answer is a because it does pass the verticle line test

PLZ HELP DEW BY 5PM
This graph represents the relationship between x and y.What is an equation showing the relationship between x and y?Enter your answer in the box.

Answers

Answer:

Points I guess

6x+4=22

What is the value of x?

Answers

Answer:

x = 3

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 4 from both sides of the equation:

6x + 4 (-4) = 22 (-4)

6x = 22 - 4

6x = 18

Next, divide 6 from both sides of the equation:

(6x)/6 = (18)/6

x = 18/6

x = 3

3 is your value for x.

~

please help me need help

Answers

Answer:

Step-by-step explanation: So all you do it cut the shape up like into in long rectangle and one really tiny rectangle and then do. 3x12 and then 1x3 and then add the answers up so it should equal 39

Find the surface area of the prism. A solid with six rectangular faces that has length 5 inches, width 3 inches, and height 7 inches. 5 in 3 in 7 in The surface area of the prism is ?

Answers

Answer:

290in

Step-by-step explanation:

A principal of $2900is invested at 3.25% interest, compounded annually. How much will the investment be worth after 9years? Use the calculator provided and round your answer to the nearest dollar.

Answers

Given:

Principal = $2900

Rate of interest = 3.25% compounded annually.

Time = 9 years.

To find:

The amount of investment after 9 years.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right){nt}[/tex]

Where, P is principal, r is rate of interest, n number of times interest compounded in an year and t is the number of years.

Substitute P=2900, r=0.0325, n=1 and t=9.

[tex]A=2900\left(1+\dfrac{0.0325}{1}\right)^{1\times 9}[/tex]

[tex]A=2900\left(1+0.0325\right)^{9}[/tex]

[tex]A=2900\left(1.0325\right)^{9}[/tex]

Using calculator, we get

[tex]A=3867.306[/tex]

[tex]A\approx 3867[/tex]

Therefore, the worth of the investment after 9 years will be $3867.

Plz tell me if I am correct

Answers

Answer:

Yep  good job!!!

2. Write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given root.
4 - 5i

Answers

Answer:

p(x) = x^2 - 8x + 41

Step-by-step explanation:

If a polynomial with rational coefficients has a complex root, then the roots come in complex conjugate pairs. If the polynomial we need to find has the root 4 - 5i, then it must also have its complex conjugate 4 + 5i as a root.

p(x) = [x - (4 - 5i)][x - (4 + 5i)]

p(x) = [(x - 4) + 5i][(x - 4) - 5i]

Now it's a difference of two squares.

p(x) = (x - 4)^2 - (5i)^2

p(x) = x^2 - 8x + 16 + 25

p(x) = x^2 - 8x + 41

Whoever answers the questions correctly gets brainlist

Answers

Answer:

2. B

3. B

4. 2(7k+5h)

5. $325

Step-by-step explanation:

2) "X decreased by the sum of 2x + 5" Decreased means to be lowered, so that means this problem has subtraction in it. It also says x is being decreased BY the sum of 2x + 5 so that means 2x + 5 needs to be solved, which calls for parentheses. B best fits the description.

3) It is B because if you distribute the 8 to 2a and 3b, you'll get 16a and 24b, which is the given expression.

4) The given expression is 10h + 14k and in the equivalent expression, you are given 5h. To get from 10 to 5, you must divide by 2. This tells you that 2 is being distributed, so you put 2 before the parentheses. Since you divided 10 by 2, you want to do the same to 14, which is 7. Therefore, it is 2(7k+5h).

5) You are given the hourly charge, which is $25. This means that they charge $25 per hour/for every hour. You want to find the cost for 13 hours, so you multiply the hourly charge by 13 hours. 25 x 13 = 325.

A rectangle with 8 cm width and 3 cm length What is the perimeter and area of the rectangle?​

Answers

Answer:

P=22cm

A=24cm²

Step-by-step explanation:

A hipopótamos weight 1.5 tons what is its weight in ounces

Answers

Answer:

48000

Step-by-step explanation:

multiply the mass value by 32000

Answer:

48000

Step-by-step explanation:

.

Choose the fraction that is NOT equivalent to 2/2?
A.1/1
B.2/1
C.3/3
D.4/4

Answers

Answer:

B 2/1

Step-by-step explanation:

2/2=1

3/3=1

4/4=1

and 2/1=2

The answer is B 2/1

Find the perimeter of the triangle.

Answers

9514 1404 393

Answer:

  84 in

Step-by-step explanation:

The Pythagorean theorem is used to find the length 'b'.

  b^2 +12^2 = 37^2

  b = √(37^2 -12^2) = √1225 = 35

Then the perimeter is the sum of side lengths:

  P = a + b + c = 12 + 35 + 37

  P = 84 . . . inches

Answer:

in triangle

b=√(37²-12²)=35

perimeter of the triangle.=sum of all side

=37+12+35=84in

Jean worked 47 hours last week and was paid $527. How much was she paid per hour?

Answers

Answer:

11.2127659574

Step-by-step explanation:

Answer:

$11.21 per hour.

Step-by-step explanation:

Divide the pay by the hours worked and round to the nearest tenth.

527/ 47 = 11.21276596 then round to 11.21

Simplify the numeric expression below. Show all
work.
8-12-(6 + 4)

Answers

Answer:

negative 14 or -14

Step-by-step explanation:

8-12-10

= 8-22

= -14

Alanna is painting a border on a wall. The border consists of kite-shaped figures as shown.

3 kites are connected at 1 point.

Each kite measures 6 inches across and 12 inches long. The wall is 12 feet across. How many square inches of the wall will be covered with kites?

Answers

Answer:

its 864

Step-by-step explanation:

lil uzi vert is the best ;)

PLEASE MARK BRAINLIEST!!!!!!!!!!!!!

Answer:

c, 864

Step-by-step explanation:

on edgunuity i got it right

Consider the parabola given by the equation: f(x) = 2x2 + 14.0 – 4
Find the following for this parabola:
A) The vertex:
B) The vertical intercept is the point
C) Find the coordinates of the two z intercepts of the parabola and write them as a list, separated by
commas:
It is OK to round your value(s) to to two decimal places.

Answers

Answer:

Step-by-step explanation:

f(x)  = 2x² + 14x - 4

= 2(x² + 7x) - 4

= 2(x² +7x + 3.5²) - 2(3.5²) - 4

= 2(x+3.5)² - 28.5

vertex (3.5, -28.5) = (7/2, -57/2)

The vertical intercept is the y-intercept, i.e., f(0) = -4.

The x-intercepts are the values of x for which y=0.

2x² + 14x - 4  = 0

x = [-14±√(14²-4(2)(-4))]/[2(2)] = [-7±√57]/2 ≅ -7.27, 0.27

Find the lengths of the missing side. Round your answer to the nearest tenth

Answers

Answer:

13.2

Step-by-step explanation:

using the Pythagorean theorem:

L² = 20² - 5²

L² = 400 - 225 = 175

L = 13.23

The answer is 13.23
a^2 + b^2 = c^2
a^2 + 15^2 = 20^2
a^2 + 225 = 400
a^2 = 175
a = 13.23
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