Kat is interested in getting chickens so she can have fresh eggs. Before she buys her chickens, she wants to find the mean number of eggs each one will lay. She begins by randomly selecting 40 chickens from a large poultry farm and counts how many eggs each one lays within one month. She finds the mean to be 24.8 eggs with a standard deviation of 6.9 eggs. Which of the following is the 90% confidence interval for the true mean number of eggs chickens from this poultry farm lay in one month?

Find the t-table here.

(21.85, 27.75)
(22.59, 27.01)
(22.96, 26.64)
(23.38, 26.22)

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Took it

Answer 2

The confidence interval of eggs chickens from this poultry farm lay in one month will be (22.96, 26.64). Then the correct option is C.

What is the confidence interval of the sample?

If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.

Let the sample mean given as μ and

The sample standard deviation σ, and

The sample size = n, and

Then the heights would be outside the 90% confidence interval will be

For 90% confidence interval, we have z = 1.645

⇒ μ ± z (σ/√n)

Kat is interested in getting chickens, so she can have fresh eggs.

Before she buys her chickens, she wants to find the mean number of eggs each one will lay.

She begins by randomly selecting 40 chickens from a large poultry farm and counts how many eggs each one lays within one month.

She finds the mean to be 24.8 eggs with a standard deviation of 6.9 eggs.

The 90% confidence interval for the true mean number of eggs chickens from this poultry farm lay in one month will be

⇒ μ ± z (σ/√n)

⇒ 24.8 ± 1.645 (6.9/√40)

⇒ 24.8 ± 1.84

Then the confidence interval of eggs chickens from this poultry farm lay in one month will be (22.96, 26.64).

Then the correct option is C.

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Related Questions

what is the simplified fractional equivalent of the terminating decimal 0.78?

Answers

Answer: 39/50

Step-by-step explanation: the answer is 39/50

Answer:

the answer is 39/50

Step-by-step explanation:

thank you

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease y=330(1.06)^x

Answers

Answer: Exponential growth. The growth rate is 6%

=======================================================

Explanation:

The general form of an exponential function is

y = a*b^x

where 'a' is the initial starting amount and b helps determine if we have exponential decay or exponential growth, and how much of it.

We have a = 330 as the initial amount. Since b = 1.06 is larger than 1, this means we have exponential growth. If 0 < b < 1, then we would have exponential decay.

Solving 1+r = 1.06 leads to r = 0.06 = 6%, showing we have a growth rate of 6%

This means that if we started with say 100 people, and the population grew by 6%, then at the end of the time unit (say 1 year), then we'd have 106 people.

-2 < n s6

n is an integer.

What are the possible values of n?

Answers

This is what I found

The sum of 2 and the quantity 20 divided by n.

Answers

Answer:

[tex] \dfrac{2 + 20}{n} [/tex]

Step-by-step explanation:

[tex] \dfrac{2 + 20}{n} [/tex]

Answer:

I think your answer is 10

Step-by-step explanation:

Can u guys pls help me if u are correct I will give brainliest i swear!

Answers

[tex]5 \times 10 + \frac{7 + 10}{2} \times 4 = 50 + 17 \times 2 = 50 + 34 = 84[/tex]

Answer:

i believe the area is 92

Step-by-step explanation:

Which transformation shows a translation of 3 units to the right?
A)
А
B)
B
0)
С
D)
D

Answers

Answer:

B

Step-by-step explanation:

It shows the P moving to the right three units without flipping it.

Find the surface area of the figure below. Leave answers in terms of 7 for answers that contain T. Round to the nearest hundredthin
necessary
5.4 ft
4 ft
4ft
82.7 ft

59.2 ft2
Oc
35.5 ft
Od
44 ft

Answers

Answer:

Hello! 59.2 is our answer

This is because for all the triangles we do 5.4 x 4 = 21.6 then I divide by 2 cause thats the formula when doing triangles so I get 10.8 and sense all the triangle sides our the same I do 10.8 x 4 and get 43.2 then for the bottom side I just have to do 4 x 4 cause thats the formula and get 16 then I add these up so 43.2 + 16 = 59.2 and We get our answer 59.2 Hope this helps!

HELP PLZZ WHAT IS THE ANSWER DON't SEND A FILE PLZ explain step by step I NEED THE ANSWERS TO BOTH QUESTIONS

Answers

Answer:

1= 2,3

2= 6,-2

Step-by-step explanation:

sup real human here,

d starts at 1,3

we move it to the right one to fill x+1 so it would be 2,3

We move it down 6 to fill y-6 so it would not be 2,-3

for 2, it is being moved down 5 and over 5

we see this because the original point is 4,-2 and the new position is -1,3 which would be down 5 over 5 from the original

this would make 1,3 become 6,-2

Answer:

1. plug the point (1, 3) into the expressions: (x+1, y-6)

(1+1, 3-6) = (2, -3)

2. make an expression for the points based on B and B':

B: (4, -2)

B': (-1, 3)

(x-5, y+5) because 4 - 5 = -1, and -2 + 5 = 3

plug in A (1,3):

(1 - 5, 3 + 5) = (-4, 8)

Difference between 3/5 of Raman's present age and his age 4 years ago is zero. What will be his age after 5 years?

Answers

Answer: 15 years

Step-by-step explanation:

Given

Difference between [tex]\frac{3}{5}[/tex] Raman's present age and his age 4 years ago is 0

Suppose Raman's present age is [tex]x[/tex]

So, we can write

[tex]\Rightarrow \dfrac{3x}{5}-(x-4)=0\\\Rightarrow \dfrac{3x-5x}{5}+4=0\\\Rightarrow \dfrac{-2x}{5}+4=0\\\Rightarrow x=\dfrac{20}{2}=10[/tex]

His age after 5 years is [tex]x+5=15\ yr[/tex]

ayo can yall help me plzzz

Answers

Answer:

D, Impossible

Step-by-step explanation:

Answer:impossible

Step-by-step explanation:

there aren’t any green folders

Please third time asking I’ll mark brainliest

Answers

Answer: A≈440.44

Step-by-step explanation:

Answer:

1,536

Step-by-step explanation:

i calculated it

Allison measures some artwork for framing. The first picture is 9 3/4 inches long and the second is 7 1/4 inches long. What is the difference in length of the art?

Answers

Answer:

2 2/4

Step-by-step explanation:

Since the first picture is 9 3/4 and the second is 7 1/4. You have to subtract to find the answer.

Ex:

5 - 1 2/4 = ?

First lets turn five in to a fraction 5 -> 5/1

Now lets turn one and a half into an improper fraction 1 2/4 -> 6/4

We can now subtract easily!

help me pls :) i put a lot of points
if a_1=3 and a_n=(a_n-1)^2-5 then find the value of a_3

Answers

Answer:the value would be 6-10

Step-by-step explanation:

0.33333333×3.14×8×8×18​

Answers

Answer:

1205.75999

Step-by-step explanation:

1205.75999 would be the answer also I used a calculator so I don’t have a step by step solution if that’s what you were looking for,sorry!

Find the missing measurements in triangle ABC. Round your answer to the nearest tenth if necessary.

Measure of Angle B=
AB=
AC=

Answers

Answer:

m∡B = 55°

AB = 5.2

AC = 7.4

Step-by-step explanation:

m∡B = 180-(90+35)

use Law of Sines to find AB and AC:

sin 90° / 9 = sin 35°/AB

AB = .57(9) = 5.2

sin 90° / 9 = sin 55°/AC

AC = .82(9) = 7.4

The solution is,

m∡B = 55°

AB = 5.2

AC = 7.4

What is triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

from the given figure, we get,

m∡B = 180-(90+35)

        =55

use Law of Sines to find AB and AC:

sin 90° / 9

= sin 35°/AB

AB = .57(9)

     = 5.2

sin 90° / 9 = sin 55°/AC

AC = .82(9

     = 7.4.

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Marcus wants to earn an "A" in math for the 4th quarter. His teacher is averaging 4 test grades. His grades on the first three tests are 85, 95, and 88. What grade does he need to earn on his 4th test to end up with an average of 90?

Answers

Answer:

87

Step-by-step explanation:

92

85+95+88+92 = 360
360/4 = 90

Nick has an album that holds 700 compact discs. Each page of the album holds 7 compact discs. If 69​% of the album is​ empty, how many pages are filled with compact discs​?

Answers

Answer:

41

Step-by-step explanation:

each page holds 7 discs. the alb holds 700 discs. that means there are 100 pages. 69% of the pages are empty so therefore 41 pages are filled.

What are the formulas for a 90, 180, 270, and 360 rotation?

Answers

formulas: 90 = (b, -a),180 = (-a, -b); 270 = (-b, a); 360 = (a, b).

Help please I’ll mark you brainliest!!

Answers

Answer:

35 ft

Step-by-step explanation:

Sorry this took me so long, I am 99% sure it is right though

I hope this helps :)

Sal buys y pens and some pencils. He buys 10 more pencils than pens. How many pens and pencils does he buy
altogether?

Answers

Answer:

20

Step-by-step explanation:

An 18 kg weight is lifted up to 12 m in height and then released in free fall. What are the potential energy, kinetic energy and total energy at: The highest point? 3 m above the ground? At the ground?

Answers

Answer:

1) at the highest Point

KE= 0  PE=2116.8 N

2) 3 m above the ground

PE= 529.2 N KE=1587.6 N

3) at the ground

KE= 2116.8 N and PE=0

Step-by-step explanation:

The potential energy is given by

PE= mgh   where m is the mass , g is the acceleration due to gravity which is equal to 9.8 m/s² and h is the height.

The kinetic energy is given by KE= 1/2 mv² where m is the mass of the body and v is the velocity.

1) at the highest Point

Now at the highest point the  velocity is zero

KE= 1/2 mv²

KE= 0

PE = mgh

PE= 18 *9.8* 12= 2116.8 N

Total Energy = KE + PE= 0 + 2116.8 N= 2116.8 N

2) 3 m above the ground

At 3 m above the ground

PE= mgh

PE= 18 *9.8* 3= 529.2 N

According to law of conservation of energy the total energy ( sum of KE and PE)  remains the same at every point.

Total Energy = KE + PE

2116.8 N-529.2N= 1587.6N

KE=1587.6 N

3) at the ground

at the ground the height will be zero

PE= mgh

PE= 18 *9.8* 0= 0 N

According to law of conservation of energy the total energy ( sum of KE and PE)  remains the same at every point.

Total Energy = KE + PE

2116.8 N=2116.8 N + 0

KE= 2116.8 N

or

KE= 1/2 mv²

KE = 1/2* 18 *(15.36)²= 2116.8

On Sarah's shelf are 6 mystery books,5 science books,4 history books, and 3 adventure books. What is the probability of NOT selecting a mystery book?

Answers

Answer:

Probability of Sarah NOT selecting a mystery book  = 0.67

Step-by-step explanation:

Probability helps to show how likely an event will occur;

The probability an event will not occur can be obtained by subtracting the probability that the event will occur from 1.

We can take this route to solve this problem

The probability of picking an option from a broad list of alternatives can be calculated using the formula:

Probability = number of expected outcomes/ total number of options

For our problem, there are only 6 mystery books on the shelf. Hence, the number of expected outcomes is = 6. Sarah cannot pick any more than 6 mystery books, and any mystery book she picks will be from that lot.

The total number of options refers to the total number of books available to pick from; whether mystery, science history, and adventure.

We can get this by adding 6 + 5 + 4 + 3 = 18

Probability of Sarah selecting a mystery book = 6/18

Probability of Sarah NOT selecting a mystery book = 1 - (6/18) = 0.67

State if the two triangles are congruent. If they are, state how you know
A) SSS
C) ASA
B) Not congruent
D) SAS

Answers

Answer:

C) ASA

Step-by-step explanation:

angles are indicated equal and they share the common diagonal between those angles, so ASA

The given two triangles are congruent due to the ASA postulate, which is the correct answer that would be an option (C).

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

The given triangles are given in the figure.

We can see that there are two angles that are the same and one side is the same.

According to ASA, two triangles are congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.

So, we conclude that the given two triangles are congruent.

Hence, the given two triangles are congruent due to the ASA postulate.

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PLEASE HELP ASAP I NEED HELP ASAP. PLEASE AND TY

Answers

Answer:

5 in

Step-by-step explanation:

If Westville has 15,200 households, predict the number of households that will have exactly 3 computers? Please answer I need help

Answers

Answer:

1140 households

Step-by-step explanation:

The results of a computer survey of 80 households in Westville are shown in the table.

So from the table we can see that 6 households have 3 numbers of computers.

So the probability is [tex]$\frac{6}{80}$[/tex]

Therefore, the probability of number of houses from a total of 15,200 houses to have exactly three computers is = [tex]$\frac{6}{80} \times 15200$[/tex]

                                                          = 1140 houses

Danielle sells 3 donuts for $9. Write an equation to represent the relationship between the number of donuts sold and the earning

Halp

Answers

3x=9. 3 represents the donuts she sold, x represents the cost of each donut and 9 is the total earning

A school is holding its annual book fair. The line plot below shows the amount of books students have bought
What is the experimental probability that a student will buy 3 books?


A.4/15


B.3/15


C.4/3


D.4/9

Answers

A.

Explanation;

Just count all the people who bought books, then the people who bought books, giving you 4/15

,,,,,,,,,,,,,,,,,,,,,,,

Answers

Answer:

I think the answer is D, 15 Square Inches

jason is closing on a $430,000 home. he made a 10% down payment and is borrowing the rest. closing costs are 3.5 percent of the mortgage.

a. what is the down payment?

b. what is the amount of the mortgage?

c. what are the closing costs?

d. what is the total amount of the mortgage if they finance the closing costs with the mortgage

Answers

The total Amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.

a) The down payment of Jason is 10% of $430,000 =$43,000b) The amount of the mortgage is the difference between the home value and the down payment.

Mathematically, $430,000 - $43,000 = $387,000.c) The closing costs are 3.5% of the mortgage. So, 3.5% of $387,000 is: 0.035 × $387,000 = $13,545.

Hence, the closing costs are $13,545. d) The total amount of the mortgage if they finance the closing costs with the mortgage is the sum of the amount of mortgage and the closing cost.

So, the total amount of the mortgage is: $387,000 + $13,545 = $400,545.Solution:a) Jason's down payment is 10% of the cost of the house, which is given as $430,000.

To calculate the down payment, multiply the cost of the house by 10%.Down payment = $430,000 x 10% = $43,000

Therefore, Jason's down payment is $43,000.b)

The amount of the mortgage is the difference between the total cost of the house and the down payment. The cost of the house is given as $430,000.

Thus, we have:Mortgage amount = Total cost - Down paymentMortgage amount = $430,000 - $43,000Mortgage amount = $387,000

Therefore, the amount of the mortgage is $387,000.c) The closing costs are 3.5% of the mortgage.

Using the mortgage amount calculated in part b), we can compute the closing costs as follows:Closing costs = 3.5% x Mortgage amountClosing costs = 3.5% x $387,000

Closing costs = $13,545

Therefore, the closing costs are $13,545.

d) If the closing costs are financed with the mortgage, we simply need to add the closing costs to the mortgage amount calculated in part b):Total amount of the mortgage = Mortgage amount + Closing costsTotal amount of the mortgage = $387,000 + $13,545

Total amount of the mortgage = $400,545

Therefore, the total amount of the mortgage is $400,545 if the closing costs are financed with the mortgage.

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A t-shirt company spent 28% of its annual budget developing a new heat-press machine. What fraction of the company's budget was spent developing the new machine?

Answers

Answer:

7/25

Step-by-step explanation:

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