A poultry farmer wishes to estimate the average incubation period (the number of days between a hen laying her egg and the time the egg hatches) for eggs on his farm. He plans to take a sample and make a 98% confidence interval, and would like a margin of error of half a day. It is known that the distribution of incubation lengths has a standard deviation of 1.5 days. How many eggs does he need to sample to create the desired interval

Answers

Answer 1

Answer:

49 eggs.

Step-by-step explanation:

The formula for Margin of Error =

z × standard deviation/√number of samples

z = z score of 98% confidence interval = 2.326

Margin of Error = Half a day = 1/2day = 0.5 day

Standard deviation = 1.5 days

Number of samples = number of eggs he needs to sample = unknown.

Imputing these above values into the formula

Margin of Error = z × standard deviation/√number of samples

0.5 = 2.326 × 1.5/√n

Cross Multiply

0.5 × √n = 2.326 × 1.5

√n = 2.326 × 1.5/0.5

√n = 3.489/0.5

√n = 6.978

Square both sides

(√n)² = 6.978²

n = 48.692484

n ≈ Approximately to the nearest whole number = 49

Therefore, the number of eggs he needs to sample to create the desired interval is approximately to the nearest whole number 49 eggs


Related Questions

A base of a parallelogram is on the x-axis and the origin is located at the left endpoint of that base. Three consecutive vertices are (h, j), (0, 0), and (k, 0), where h > 0. What is the x-coordinate of the fourth vertex?
2h
k + h
2k

Answers

Answer:

k + h

Step-by-step explanation:

Given that;

The base of a parallelogram is on the x-axis, i.e., it is on the horizontal axis.

The origin (0,0) is located to the left endpoint of the base. This is followed by (k,0) on that same horizontal baseline, now the length of the upper base must be equal to the length of the lower base, from the (k,0) endpoint, the vertical slant line leading to the upper base endpoint is (h,j).

Therefore, the x-coordinate of the fourth vertex will be k unit distant from h.

i.e k+h.

Answer:

k+h

Step-by-step explanation:

Round 6.09933418366 to 4 decimal places

Answers

Answer:

6.113 i believe to be so

The decimal number is 6.0993 to 4 decimal places.

What is decimal?

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

Given:

A decimal number,

6.09933418366.

To round off to 4 decimal places,

6.0993.

Therefore, the value is 6.0993.

To learn more about the decimal;

brainly.com/question/109147

#SPJ5

50 kg+2.7kg for each inch over 5 feet (A) find a linear model for an estimate of the ideal weight of a woman using w for the ideal body weight ( in kilograms) and h for height over 5 feet ( in inches) W=

Answers

Answer:

W = 50 + 2.7h

Step-by-step explanation:

A function shows the relationship between two variables (the independent variable and the dependent vaariable). The independent variable is a variable that is independent of any other variable, i.e it is the input of the function while the dependent variable is dependent on other variables hence it is the output of the function.

Given that the weight  of a woman is 50 kg+2.7 kg for each inch over 5 feet. If h is the height over 5 feet ( in inches), the weight (W) can be represented by:

W = 50 + 2.7h

W is in kg

a rectangle has a length of 8 and a width of 4. four equal rectangles are drawn within that rectangle, creating the longest lengths possible for the rectangles. what is the sum of the perimeters of two of these equal rectangles?

Answers

Given:

A rectangle has a length of 8 and a width of 4.

Four equal rectangles are drawn within that rectangle, creating the longest lengths possible for the rectangles.

To find:

The sum of the perimeters of two of these equal rectangles.

Solution:

We have to draw 2 lines which are bisecting the length and width respectively, to divide a rectangle in 4 equal parts with longest lengths.

Half of length 8 = 4

Half of width 4 = 2

It means each rectangle have a length of 4 and a width of 2.

Perimeter of a rectangle is

[tex]Perimeter=2(length+width)[/tex]

[tex]Perimeter=2(4+2)[/tex]

[tex]Perimeter=2(6)[/tex]

[tex]Perimeter=12[/tex]

So, perimeter of each equal rectangle is 12 units.

Sum of the perimeters of two of these equal rectangles is

[tex]12+12=24[/tex]

Therefore, sum of the perimeters of two of these equal rectangles is 24.

a father was 25 years older than his son five years ago. if the product of the son and his father's ages then was 900 years. how old is the son now.​

Answers

Answer:

  25

Step-by-step explanation:

Let x represent the son's age now. 5 years ago, it was x-5, and the father's age was (x -5)+25 = (x+20).

The product of their ages at that time was 900, so we have ...

  (x -5)(x +20) = 900

  x^2 +15x -100 = 900

  x^2 +15x -1000 = 0 . . . . subtract 900

  (x +40)(x -25) = 0 . . . . factor

  x = -40 or +25 . . . . these values make the factors zero

The son's age now is 25.

The perimeter of a rectangle is 230 feet. The length is 56 feet. What is the width?

Answers

Answer:

w=59 feet

Step-by-step explanation:

Using the formula

P=2(l+w)

Solving for w

w=P/2﹣l = 230/2﹣56

= 59 feet

Hope this helps!

Answer:

Step-by-step explanation:

59 feet

solve the equation -37 = x - 17​

Answers

Answer:

x=-20

Step-by-step explanation:

add 17 to both sides

-37 + 17 =-20

Answer:

x=-20

Step-by-step explanation:

-37=x-17

move the terms.

-x=-17+37

Calculate.

-x=20

Change the signs.

There ya go your answer is -20.

Hope that helped.

Which is the solution set of: 5(x+3)−10x>−10?

Answers

Answer:

x<5

Step-by-step explanation:

I hope this helps you

multiply (plzzz help i forgot how to do this)

(x+3)(x+4)

Answers

It’ll be cross multiplying!
X (X+4)+3(x+3)
X^2 +4x +3x +9
X^2 + 7x +9 = ANSWER

Evaluate f(-3) when f(x) = x + 7

Answers

Steps to solve:

f(-3) = x + 7

~Substitute

f(-3) = -3 + 7

~Simplify

f(-3) = 4

Best of Luck!


What are the square roots of 81? Check all that apply.
A. |9|
B. 9.5
C. 3
D.-9
E. 9
F. -3

Answers

Answer:

E,and 3

Step-by-step explanation:

Hope that helped.

Answer:

A. |9|, D.-9, E. 9

Step-by-step explanation:

.................

Determine the account balance of a simple interest account if the principal is $10,000, the interest rate is 1.5%, and the time is 5 years.

Answers

Answer:

Capital: 2 400

Tasa: 5% = 5/100 = 1/20

Tiempo: 4 años

A) Interés = capital*tasa*tiempo

Interés = 2400*(1/20)*4

Interés = 480 soles

B) Interés = Capital*((1 + tasa)^tiempo+1)

Interés = 2400*((1 + 1/20)^4 + 1)

Interés = 2400*((21/20)^4 + 1)

Interés = 2400*(194 481/160 000 + 1)

Interés = 2400*(354 481/160 000)

Interés = 5 317,215Step-by-step explanation:

My next zoom class starts in a few so i need this 'riddle' done. tysm

Answers

Answer:

5761

Step-by-step explanation:

First, let's find the digit in the tenths place. The quotient of 10 and 2 is 5 because 10/2 = 5. Next, the digit in the hundredths place is the product of 3.5 and 2. 3.5 * 2 = 7. The number in the thousandths place is the sum of the digit in the tenths place and the ten thousandths place, so we have to find the digit in the ten thousandths place first. It says that every number in the code is divisible by the digit in the ten thousands place. The factors of 5 are 1,5 and the factors of 7 are 1,7. The only number that is the same in both is 1, so the last digit must be 1. Knowing that information, we can add the digit in the tenths place (5) to the number in the ten thousandths place (1) to get the third digit (6). Now we place those digits in order: tens (5), hundredths (7), thousandths (6), and ten thousandths (1) to get 5761.

Simplify -36/12-2(-7)

Answers

Answer:

11

Step-by-step explanation:

Identify the range of the function shown in the graph

Answers

Answer:

ok ill help it 00000000

Step-by-step explanation:

000

solve for x x/4=3 help meh plz

Answers

Answer:

x = 12

Step-by-step explanation:

simplify both sides of the equation and isolate the variable

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 12}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{x}{4} = 3}[/tex]

Do cross multiplication

[tex] \longrightarrow{ \sf{x = 3 \times 4}}[/tex]

Multiply the numbers : 3 and 4

[tex] \longrightarrow{ \sf{x = 12}}[/tex]

Hope I helped!

Best regards! :D

algebra 2b question, please help!! much appreciated, thank you.

what types of correlations do these first two graphs of the article show? select two answer choices: one for the first graph, and one for the second graph.

- a negative correlation between time and the amount of arctic sea ice
- no correlation between time and average yearly temperature
- a negative correlation between time and average yearly temperature
- no correlation between time and the amount of arctic sea ice
- a positive correlation between time and average yearly temperatures
- a positive correlation between time and the amount of arctic sea ice

Answers

Answer:

1st graph = a positive correlation between time and average yearly temperature

2nd graph =a negative correlation between time and the amount of arctic sea ice

The first graph in the article displays the relationship between time and the amount of Arctic sea ice Therefore the correct option is A.

There seems to be a negative correlation, as the amount of Arctic sea ice decreases over time. The graph shows a consistent downward trend in sea ice levels as time progresses, suggesting that as time increases, the amount of Arctic sea ice decreases. On the other hand, the second graph illustrates the relationship between time and average yearly temperature.

There appears to be no clear correlation between these two variables. The graph shows fluctuating temperature levels with no consistent trend over time. This lack of a discernible pattern indicates that there is no correlation between time and average yearly temperature. In summary, the first graph indicates a negative correlation between time and the amount of Arctic sea ice, while the second graph suggests no correlation between time and average yearly temperature.

Hence the correct option is A.

To know more about Arctic sea ice visit:

https://brainly.com/question/29911176

#SPJ2

The numerical values of the area and the perimeter of a square field are in the ratio 5:2, while that of a square park are in the ratio 3:1. What is the positive difference between their areas?

Answers

Answer:

44

Step-by-step explanation:

If side = a

Then:

A = a², P = 4a  for area and perimeterA/P = a²/4a = a/4 for are/perimeter ratio

The first case:

a/4 = 5/2 ⇒ 2a = 20 ⇒ a = 10 ⇒ a² = 100

The second case:

a/4 = 3/1 ⇒ a = 12 ⇒ a² = 144

Difference between areas:

144 - 100 = 44

Which equation best represents the graph above

Answers

Answer:

x = -1

Step-by-step explanation:

Since the line is completely vertical there is no slope.

When a line is completely vertical, the setup is x = ___ (fill in the blank with the number that the line intersects on the x axis, in this case -1.)

When a line is completely horizontal (not applicable in this problem) the setup is y = ___ (fill in the blank with the number the line intersects on the y axis.)

Kevin compró 5 libras de nueces por $50.89. ¿Cuánto fue el costo por libra?
A. $ 0.18 B. $5
C. $10 D. $10.17

Answers

Answer:

la respuesta es D

Class: Seven
Subject: Mathematics
1, If A= {1,2,3,4} and B= {2,4,6), find A UB and AnB.​

Answers

Step-by-step explanation:

AUB= N(A and B)

AUB=(1,2,3,4,6)

AnB= (2,4)

3x^2 + 2x - 5 and -4 + 7x^2

Answers

Answer:

34

Step-by-step explanation:

Ay

Fonsi

DY

Oh

Oh no, oh no

Oh yeah

Diridiri, dirididi Daddy

Go

Sí, sabes que ya llevo un rato mirándote

Tengo que bailar contigo hoy (DY)

Vi que tu mirada ya estaba llamándome

Muéstrame el camino que yo voy (Oh)

Tú, tú eres el imán y yo soy el metal

Me voy acercando y voy armando el plan

Solo con pensarlo se acelera el pulso (Oh yeah)

Ya, ya me está gustando más de lo normal

Todos mis sentidos van pidiendo más

Esto hay que tomarlo sin ningún apuro

Despacito

Quiero respirar tu cuello despacito

Deja que te diga cosas al oído

Para que te acuerdes si no estás conmigo

Despacito

Quiero desnudarte a besos despacito

Firmo en las paredes de tu laberinto

Y hacer de tu cuerpo todo un manuscrito (sube, sube, sube)

(Sube, sube)

Quiero ver bailar tu pelo

Quiero ser tu ritmo

Que le enseñes a mi boca

Tus lugares favoritos (favoritos, favoritos baby)

Déjame sobrepasar tus zonas de peligro

Hasta provocar tus gritos

Y que olvides tu apellido (Diridiri, dirididi Daddy)

Si te pido un beso ven dámelo

Yo sé que estás pensándolo

Llevo tiempo intentándolo

Mami, esto es dando y dándolo

Sabes que tu corazón conmigo te hace bom, bom

Sabes que esa beba está buscando de mi bom, bom

Ven prueba de mi boca para ver cómo te sabe

Quiero, quiero, quiero ver cuánto amor a ti te cabe

Yo no tengo prisa, yo me quiero dar el viaje

Empecemos lento, después salvaje

Pasito a pasito, suave suavecito

Nos vamos pegando poquito a poquito

Cuando tú me besas con esa destreza

Veo que eres malicia con delicadeza

Pasito a pasito, suave suavecito

Nos vamos pegando, poquito a poquito

Y es que esa belleza es un rompecabezas

Pero pa montarlo aquí tengo la pieza

Despacito

Quiero respirar tu cuello despacito

Deja que te diga cosas al oído

Para que te acuerdes si no estás conmigo

Despacito

Quiero desnudarte a besos despacito

Firmo en las paredes de tu laberinto

Y hacer de tu cuerpo todo un manuscrito (sube, sube, sube)

(Sube, sube)

Quiero ver bailar tu pelo

Quiero ser tu ritmo

Que le enseñes a mi boca

Tus lugares favoritos (favoritos, favoritos baby)

Déjame sobrepasar tus zonas de peligro

Hasta provocar tus gritos

Y que olvides tu apellido

Despacito

Vamos a hacerlo en una playa en Puerto Rico

Hasta que las olas griten "¡ay, bendito!"

Para que mi sello se quede contigo

Pasito a pasito, suave suavecito

Nos vamos pegando, poquito a poquito

Que le enseñes a mi boca

Tus lugares favoritos (favoritos, favoritos baby)

Pasito a pasito, suave suavecito

Nos vamos pegando, poquito a poquito

Hasta provocar tus gritos

Y que olvides tu apellido (DY)

Despacito

What is the range of the function f(x) = 12 - 3x for the domain {-4, -2,0, 2, 4}?
{24, 18, 12, 6, 20)
{6, 12, 18, 24, 30}
{-12, -6, 0, 6, 12}
{0, 6, 12, 18, 24) ​

Answers

The correct answer is:(0,6,12,18,24)

What type of sequence is the following numbers? 2.5, 5, 10, ...

Answers

Answer

*2

Step-by-step explanation:

Helppppppppppppppppp

Answers

Answer: x = 145

The angle x and 145 are vertical angles which are always congruent. Vertical angles are formed when you cross two lines. Vertical angles are always opposite one another in such a configuration.

Need help with some math

Answers

Answer:

C

Step-by-step explanation:

(3)^3 - 2(5)^2 - 3(3)^3 + (-3)^4

27 - 2(25) - 3(27) + 81

27 - 50 - 81 + 81

27 - 50

-23

8w + 12 = -12
Helppppp

Answers

Answer:

w = -3

Step-by-step explanation:

Note: We can only use the expanded power rule when there isn't any addition or subtraction. In the example below you need to multiply.
Simplify. (5t + 3)​

Answers

21 hope this helps and your welcome

Find the unit rate.

56 apples in 7 boxes

Answers

Answer:

8 Apples in each box.

Step-by-step explanation:

56/7=8 Or, 7x_=56

                    ^8 , if you start multiplying from 1-8.

HELP PLEASE! Will give out brainliest

Answers

Answer:

i would say b but not sure

Step-by-step explanation:

hope this helps let me know if i got it wrong

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