According to the U.S. Department of Agriculture, Alabama egg farmers produce millions of eggs every year. Suppose egg production per year in Alabama is normally distributed, with a standard deviation of 83 million eggs. If during only 3% of the years Alabama egg farmers produce more than 2,655 million eggs, what is the mean egg production by Alabama farmers?

Answers

Answer 1

Answer:

The mean egg production 2499 million

Step-by-step explanation:

P(Z > a) = 3% = 0.03

P(Z > a) = 1 - ∅(a)

1 - ∅(a) = 0.03

∅(a) = 1 - 0.03

∅(a) = 0.97

Checking the normal distribution curve, for ∅(a) = 0.97, z = 1.88

This means that area under the normal curve is 3% (0.03) to the right of z = 1.8808

X = μ + (zб)

X = 2,655 millions

б = 83 million

2655 =  μ + (1.88 * 83)

2655 =  μ + 156.04

μ  = 2655 - 156.04

μ = 2498.96

The mean egg production, is therefore, 2499 million


Related Questions


What percent of discount should be given in a doll costing Rs 180
such that a customer can buy at Rs 160?​

Answers

Answer:

11.11%

Step-by-step explanation:

So the question is:

$180 * (x)% = $y

Therefore $180 - $y = $160

Now:

180 - 160 = 20

Therefore; $20 is the discount

Now per cent of discount:

20/180 * 100 = 11.111111111111111111111%

therefore: per cent of discount is 11.11% (rounded to two decimal place)

Answer:

11.11 %

Step-by-step explanation:

Costing Price = Rs 180

Selling Price = Rs 160

Discount = C.P - S.P

=> 180-160

=> Rs 20

In %age:

=> [tex]\frac{20}{180} * 100[/tex]

=> 11.11 %

he price of a computer was decreased by 20% to £136.
What was the price before the decrease?

Answers

Answer:

The original price is 170

Step-by-step explanation:

Let x be the original price

x* .20 is the decrease

x - .20x = new price

.80x = new price

.8x = 136

Divide each side by .8

.8x/.8 = 136/.8

x =170

The full price is represented by 100%. If this computer was decreased by 20%, so it worth 80% now.

So, we can make a rule of three: 80% value is equals to 136, how much is 100%?

80% ------------ 136

100% ----------- x

Let's multiply "making a x":

[tex]80x = 136\cdot 100\\80x = 13.600\\x = \frac{13600}{80} \\x = 170[/tex]

Therefore, the price before the decrease was £170.

A region is bounded by semicircular arcs constructed on the side of a square whose sides measure 2/\pi, as shown. What is the perimeter of this region?

Answers

Answer:

4

Step-by-step explanation:

The perimeter of the region is equal to the sum of the perimeter of the four semicircular arc. Since the semicircular arcs have the same measure, therefore:

Perimeter of region = 4 × Perimeter of semicircular arc.

The side of the square = diameter of the semicircle = 2/π.

The radius of semicircle = diameter/2 = [tex]\frac{2/\pi}{2} =\frac{1}{\pi}[/tex]

The perimeter of a semicircle = perimeter of a circle ÷ 2

[tex]Perimeter\ of \ semicircle = \frac{perimeter\ of\ circle}{2}=\frac{2\pi r}{2}=\frac{2\pi (\frac{1}{\pi} )}{2} =1\\ Perimeter\ of\ region = 4*Perimeter\ of \ semicircle=4*1=4\[/tex]

A university would like to estimate the proportion of fans who purchase concessions at the first basketball game of the season. The basketball facility has a capacity of 3 comma 600 and is routinely sold out. It was discovered that a total of 210 fans out of a random sample of 500 purchased concessions during the game. Construct a​ 95% confidence interval to estimate the proportion of fans who purchased concessions during the game.

Answers

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 500

x = 210

p = 210/500 = 0.42

q = 1 - 0.42 = 0.58

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96

Therefore, the 95% confidence interval to estimate the proportion of fans who purchased concessions during the game is

0.42 ± 1.96√(0.42)(0.58)/500

= 0.42 ± 0.043

A line has____rotational symmetry,

Answers

Answer:

two-fold

Step-by-step explanation:

you can rotate it one other way for it to look the exact same, meaning there are a total of 2 ways to rotate it

Answer:

A line has two-fold rotational symmetry; A

Step-by-step explanation:

One fold when it is turned 180°

And another fold when it is turned 360°

Hope that helps!!

Which expression is equivalent to
(4^5/4.4^1/4/4^1/2

Answers

Answer:

Which expression is equivalent to ((4^((5)/(4)).4^((1)/(4)))/(4^((1)/(2))))^((1)/(2))?

Problemas de algoritmo a, um buso se encuentra a 12m bajo el nivel del mar ,si sube 3 m ,cual sera su nueva posicion ,rrepresenta numeros enteros,positivo y negativo

Answers

Answer:

9 metros bajo el nivel del mar

Step-by-step explanation:

Aquí, tenemos un autobús que está a 12 metros bajo el nivel del mar.

Ahora, el autobús ganó algo de altura y subió 3 metros hacia arriba Debemos entender que el autobús todavía está bajo el nivel del mar pero a un nivel más alto en relación con el fondo del mar.

Por lo tanto, la altura del autobús sería + 3 + (-12) = 3-12 = -9 Esto muestra que el autobús todavía está a 9 metros bajo el nivel del mar.

Find the height of the cylinder with the volume of 271.4 and a cylinder radius of 6. Round to nearest tenth PLEASE HELP!

Answers

Answer:

2.4.

Step-by-step explanation:

the formula of the volume of a cylinder is ; πr²h.

so, we will have to substitute with the formula.

3.14 × 6 × 6 × h = 271.4

113.04h = 271.4

divide both sides by the number next to the unknown, which is 113.04.

you will get 2.4009200........

when u round off to the nearest tenths, you will get 2.4.

Pls help me with trig! i would rlly appreciate

Answers

Answer:

c≤

Step-by-step explanation:

hypotenuse=√(a²+b²)=√(5²+6²)=√(25+36)=√61

cosθ=5/√61=5/√61× (√61/√61)=5√61/61

Answer:

[tex]6 \sqrt{61} \div 61[/tex]

is ans

Step-by-step explanation:

given, a=5 and b=6

as the refrence angle is thit

p=6 and b= 5

[tex]now \: h \: = \sqrt{p {}^{2} + b {}^{2} } [/tex]

[tex] = \sqrt{6 { }^{2} + 5 {}^{2} } [/tex]

[tex] \sqrt{61} = [/tex]

therefore h

[tex] = \sqrt{61} [/tex]

now cos thita =b/h

therefore cos thita=

[tex]6 \sqrt{61} \div 61[/tex]

...is ans..

Please answer this question now in two minutes

Answers

Answer:

y = -4x

Step-by-step explanation:

Since it gives you that m = -4 and that the y-intercept is at (0, 0), we simply plug it into y = mx + b

y = -4x + 0

y = -4x

Which number is a factor of 51?

Answers

factors of 51 are  1, 3, 17,  51

Answer:

1 × 51 = 51

3 × 17 = 51

_________

1, 51, 3, 17 are all factors of 51!

51 is composite.

Radium-226 was discovered by Marie-Curie in 1898.
The notebooks she used were contaminated with radium-226 and are still hazardous.
Explain why the notebooks are still hazardous. (2) *

Answers

Answer:

The notebooks are still hazardous because the Curies didn't use protective equipment (nor did they have it) and the close proximity of the radioactive isotopes allowed for spreading of radioactivity. Since Radium-226 was kept in bottles and drawers in the Curies' home, it was in close proximity to their items. This allowed for Radium-226 to radiate to other items. In turn, those items absorbed the radiation and become radioactive. Today, Marie Curie is buried under a lead-lined coffin and her belongings can be visited ONLY with protective gear and signing a liability form.

Step-by-step explanation:

23. A 340 million square mile forest is how many hectares?

Answers

Answer: in 340 million square miles there are 8.808 x 10^10 hectares

Step-by-step explanation:

Using the segment addition postulate, which is true? A number line going from negative 9 to positive 9. A closed circle appears at negative 6 and is labeled A. A closed circle appears at negative 1 and is labeled B. A closed circle appears at positive 2 and is labeled C. A closed circle appears at positive 8 and is labeled D.

Answers

Answer:

The answer is given below

Step-by-step explanation:

The addition postulate for line segment states that if we have points A, C and a point B on line AC, The distance between points A and C can be given as:

AC = AB + BC

Point A is at -6, point B is at -1, point C is at +2 and point D is at point 8.

Therefore using line segment postulates:

AD = AB + BC  + CD

But AB = -1 - (-6)= -1 + 6 = 5

BC = 2- (-1) = 2 +1 = 3

CD = 8 - (+2) = 8 - 2 = 6

Also AD = 8 - (-6) = 8 + 6 = 14

To prove AD = AB + BC  + CD

AD = 5 + 3 + 6 = 14

The following data points represent how many houses Gregg the Garbage Man visited each day last week.
12,28,33,37,23,14,9
use the data,and create a histogram

Answers

Answer:

Here we want to create a histogram of:

Number of houses Vs day.

First you need to create a rectangular coordinate axis.

In the x-axis you will divide the days as:

day 1, day2, day3 etc

in the y-axis you will measure the number of houses visited.

then, for the first day our height will be 12 units

for the second day, our height will be 28 units...

and so on.

Remember that for histograms you need to use columns.

Then, our histogram will look like:

helllllllllllllllllpppppp meeeeeeeeeeee please i really need this Sabastian wanted to compare how much time his neighbors spend on the Internet to how much mail they receive in a week. He gathered data by surveying his neighbors. [ NOTE: He gathered data, so He Has it Already, do not go back in time...] Explain the steps Sabastian should take in order to analyze the data.

Answers

Answer:

Step-by-step explanation:

Step 1: Create a Survey

Step 2: Administer the Survey

Step 3: Collect responses.

Step 4: Organize responses - Since the data is bivariate I'd like to see them explain that they would maybe use a frequency table to organize this data.  

Step 5: Analysis

Then he can look at how to explain the organization of their data - can we use a chart? If I am using a scatter plot, how do I find the line of best fit? How do I correlate data, etc?

The step to analyze the collected data include plotting the data on an histogram

How to determine the steps?

From the question, we understand that the data has already been gathered.

The next step is to analyze the collected data.

This can be done in several ways.

One of them is as follows:

Sort the data in ascending orderDetermine the mean, median, mode and rangeDetermine the standard deviation and variancePlot the data on a chart (e.g. histogram)

Read more about data analysis at:

https://brainly.com/question/15380707

#SPJ2

A music store sells only CDs. The manager buys the CDs for $8.00 each and sells them for $15.00 each. The monthly operating expenses total $10,000. How many CDs must the store sell each month to break even and start making profits?

Answers

Answer:

1,429

Step-by-step explanation:

You have 7 dollars profit for each CD sold. 10,000 divided by 7 is 1,428 so you must have atleast one more than that to have profit (although it would be very small)

?/? of 24 = 16 (answer in fraction)

Answers

Answer:

[tex]\boxed{\sf \ \ \ \dfrac{2}{3} \ \ \ }[/tex]

Step-by-step explanation:

hello

24 = 8*3

16 = 8*2

so

[tex]\dfrac{2}{3}*24=\dfrac{2*8*3}{3}=8*2=16[/tex]

so the answer is 2/3

hope this helps

Someone help me plz​

Answers

Answer: x = 3

Step-by-step explanation:

The area of a triangle is 1/2bh.  Thus, the area of the triangle is 30.  The area of a rectangle is lw.  Thus it is 10x here.  Thus, 10x = 30 and x = 3.

Hope it helps <3

Answer:

x = 3

Step-by-step explanation:

To find the area the area of a triangle is 1/2 b×h

that will be 1/2× 5×12 = 30

since the area of the triangle is equal to the area of the rectangle, and the area of a rectangle is l×b so l= x ; b= 10 so x × 10 = 30

= 10x= 30 divide both sides by 10 = 3

so x = 3

Solve the system of equations. x+y=2 and y=-1/4x²+3

Answers

Answer:

2 solutions:

(-2.899, 0.899) and (6.899, -8.899)

Step-by-step explanation:

x+y=2

y=-x+2

y=1/4x²+3

Graph both equations into graphing calculator

Graph in attachment shows solutions

What are the properties of the point (2, 0) in this graphed function? {graph pictured below} A. It is a relative maximum and a y-intercept. B. It is a relative maximum and an x-intercept. C. It is a relative minimum and a y-intercept. D. It is a relative minimum and an x-intercept.

Answers

Answer:

It is a relative minimum and an x-intercept.

What is the slope of the line that goes through the points (1, -5) and (4, 1)

Answers

Answer:

D) 2

Step-by-step explanation:

Use the following slope formula:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (4 , 1)

(x₂ , y₂) = (1 , -5)

Plug in the corresponding numbers to the corresponding variables:

m = (-5 - 1)/(1 - 4)

Simplify. Remember to follow PEMDAS. First subtract, then divide:

m = (-5 - 1)/(1 - 4)

m = (-6)/(-3)

m = 2

D) 2 is your answer.

~

Which of the following is equivalent to 18 minus the square root of -25

Answers

Answer:

Undefined

Step-by-step explanation:

Since you said to find the square root of "-25" the answer is undefined because you cannot square root a negative number.

Answer:

18-5i

Step-by-step explanation:

I can't see the answer choices but all you have to do is simplify this equation.

18-√-25

What is the square root of -25?

Well first we make the -25 into 25 because we can't do anything with a negative.

So square root of 25 is 5

Now plug 5 into the equation

18-5

Then multiply i to 5 because we're not sure what the exact value of 18-√-25 is.

Hope this Helps!

At the Souvenir Shop, gemstone souvenirs cost $11.60 for 5. Which proportion can be used to find the cost of just 1 gemstone?

Answers

Answer:

see below

Step-by-step explanation:

$11.60 for $5

1. Find the rate.

$11.60 divided by $5= $2.32

2. 1 gemstone= $2.32

Your anwser should be 1 over $2.32 or $2.32 over 1 depending on how you want it.

Answer:

D) x/11.60= 1/5

Step-by-step explanation:

Will give the brains of me brains and my brains and maby ur brain to u how many brains can i give u if u ask this quetion right?

Answers

Answer: 83.6

Step-by-step explanation:

The data shown below is: 81,83,84,85,85.  The mean of this data set can be calculated via (81+83+84+85+85)/5=83.6

Hope it helps <3

P.S. brainliest brains?

The data shown below is: 81,83,84,85,85.  The mean of this data set can be calculated via (81+83+84+85+85)/5=83.6

Roger’s father knows that Dial It Up sells data plans at $16 for 2 gigabytes and Ring Ring sells data plans at $9 for 1 gigabyte. Use this information to calculate the ratio of the number of gigabytes to the price in dollars for Dial It Up and Ring Ring.

Answers

Answer:

From Dial it, we have plans of $16 per 2 gb.

then the ratio is (number of gb you get):price

in this case:

2:16 or we can reduce it to 1:8

this means that per each Gigabyte, you pay 8 dollars. 1:8

Ring Ring has plans of $9 per 1gb

then the ratio of gb to Dollars is 1:9

And the ratio between the prices of the companies is: 8 to 9 or 8:9

which means that in one company you get one thing for 8, while in the other company you get the same thing for 9.

Answer:

Dial it Up charges $32 for 4 gigabytes, and Ring Ring charges $36 for the same amount of data. The difference of the plan prices is $36 – $32 = $4.

What is the unit rate of each point (10,2.4) (15, 3.6) (17.5, 4.2)

Answers

Answer:

0.24

Step-by-step explanation:

Given the points (10,2.4) (15, 3.6) (17.5, 4.2)

The unit rate is the slope of the line joining any of the two points.

Using points (10,2.4)  and (15, 3.6)

[tex]Slope, m=\dfrac{3.6-2.4}{15-10} \\=\dfrac{1.2}{5} \\\\=\dfrac{6}{25}[/tex]

=0.24

Using points (10,2.4)  and (17.5, 4.2)

[tex]Slope, m=\dfrac{4.2-2.4}{17.5-10} \\=\dfrac{1.8}{7.5} \\\\=\dfrac{6}{25}\\=0.24[/tex]

Therefore, the unit rate for each point is 0.24

Please answer this question now

Answers

Answer:

10 cm

Step-by-step explanation:

Since WX is tangent, it is a right angle

VWX is a right triangle, so we can use the Pythagorean theorem

a^2+b^2 = c^2

6^2 + 8^2 = VX ^2

36+64 = VX ^2

100 = VX ^2

Take the square root of each side

sqrt(100) = sqrt(  VX ^2)

10 = VX

Answer:

10 cm

Step-by-step explanation:

Since WX is tangent to the circle V, by definition, WX ⊥ WV.

So, we've established that ΔWXV is a right triangle. This means that we can apply the Pythagorean Theorem, which states that for a triangle with legs a and b and hypotenuse c:

a² + b² = c²

Here, we have a = WV = 6 and b = WX = 8, so:

a² + b² = c²

6² + 8² = 36 + 64 = 100

c² = 100

c = √100 = 10

Therefore, VX = 10 cm.

~ an aesthetics lover

The following are the temperatures of 10 days in winter in °C. 8, 3, -1, 6, 0, 5, 2, 9, -2, 0 Work out the mean temperature

Answers

Answer:

The mean temperature is O

Step-by-step explanation:

Una importadora planea sus gastos para realizar la importación de 12 000 hasta 60 000 piezas de auriculares con aranceles y sin ellos. El precio de los auriculares antes del primero de septiembre de 2019 es de 96$ contemplando gastos de importación; el arancel de impuesto a ese producto es de 10%. Determina la expresión algebraica para modelar la compra de auriculares, indica si es una proporción directa o inversa.

Answers

Answer:

La expresión algebraica que representa la compra de los auriculares es [tex]c = 105.6\cdot n[/tex], existe una proporcionalidad directa.

Step-by-step explanation:

Existe un proporcionalidad directa, pues el coste total de importación aumenta conforme aumenta la cantidad de auriculares a importar. Esto es:

[tex]c \propto n[/tex]

[tex]c = k\cdot n[/tex]

Donde:

[tex]n[/tex] - Cantidad de auriculares a importar, adimensional.

[tex]c[/tex] - Coste total de importación, medido en pesos.

[tex]k[/tex] - Constante de proporcionalidad, medido en pesos.

La constante de proporcionalidad es igual al coste unitario del auricular más el impuesto de arancel, es decir:

[tex]k = 1.10\cdot (\$\,96)[/tex]

[tex]k = \$\,105.6[/tex]

Entonces, la expresión algebraica que representa la compra de los auriculares es:

[tex]c = 105.6\cdot n[/tex]

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