Based on historical data, your team knows what proportion of the company's number of orders come from Indiana residents. However, your team would like to expand its orders beyond the state of Indiana. By the end of this year, you think you would like your total proportion of orders from Indiana to be between 0.66 and 0.73. If you took a simple random sample of 99 current orders, what is the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73

Answers

Answer 1

This question is incomplete, the complete question is;

Note: You should carefully round any intermediate calculations to 4 decimal places to match wamap's approach and calculations. After you round to 4 places, use THAT rounded value in later steps. You may need an appropriate population proportion (which you actually found in a previous problem).

Some data:

Total population: 2327

Indiana residents: 1845

Other: 482

Frequency table results for Total Sales:

Count = 2327

Total Sales Frequency

0 to 200 1960

200 to 400 303

400 to 600 53

600 to 800 9

800 to 1000 2

Answer:

The probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73 is 0.0612

Step-by-step explanation:

Given the data in the question;

p" = Indiana residents / Total population

p" = 1845 / 2327

p" = 0.7929

Now, the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73 will be;

P( 0.66 < p < 0.73 ) = P{ [x1 - p" / √( p"(1-p")/n )] < p < [x2 - p" / √( p"(1-p")/n )] }

we substitute

= P{ [0.66 - 0.7929 / √( 0.7929(1-0.7929)/99 )] < p < [0.73 - 0.7929 / √( 0.7929(1-0.7929)/99 )] }

= P{ [-0.1329 / 0.0407] < p < [-0.0629 / 0.0407] }

= P{ -3.2654 < z < -1.5455 }

= ⊕( -1.5455) - ⊕(-3.2654)

from the standard normal table;

= 0.0618 - 0.0006

P( 0.66 < p < 0.73 ) = 0.0612

Therefore, the probability that the sample proportion of sales to Indiana residents is between 0.66 and 0.73 is 0.0612

Related Questions

Name three collinear points.

Answers

Answer:

D, G and F or I, G and J

------------------------

Collinear points are the points on the same line.

There are two lines in the diagram.

The collinear points:

D, G and F on one lineI, G and J on the second line

The points that are collinear are D,G and E and another set of points which are collinear are L,G and J.

The points which lie on the same straight line are known as collinear points.

Similarly, if three or more number of points are collinear then they form a straight line.

If we observe the figure, the points D,G and E are collinear points as they are on same line.

Similarly the points L, G and H are in the straight line which makes them collinear.

Therefore , the points L,G and J are collinear points.

Hence, the points that are collinear are D,G and E and another set of points which are collinear are L,G and J

To learn more on Coordinate Geometry click:

brainly.com/question/27326241

#SPJ1

what is -0.3 x -10/11

Answers

Answer:

-0.3x-10/11=3/11

There are 25 newspapers in a stack. The stack weighs 15.5kg. What is the weight of each newspaper?

Answers

Answer:

0.62kg or 620g.

Step-by-step explanation:

If there are 25 newspapers in a stack that weighs 15.5kg, 15.5 divided by 25 would give you the weight of one newspaper, which is 0.62kg.

To convert kilograms to grams:

0.62kg x 1000 = 620g

Answer:

0.62 kg

Step-by-step explanation:

25 newspaper = 15.5kg

1 newspaper = ? Y

cress cross

25 newspaper Y = 15.5 kg × 1 newspaper

25 newspaper 25 newspaper

Y = 15.5 kg

Y = 0.62 kg

Find a and b using the factor theorem.
$f(x)=x^3+ax^2+bx-12$ has factor $(x-1), (x+1)$

Answers

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

For more such questions on polynomial

https://brainly.com/question/1496352

#SPJ8

the circumference of the circle is 23 inches what is the radius of the circle?

Answers

Answer:

The radius is 3.66 if you need to round it would be 3.70.

Step-by-step explanation:

r= c/2$\pi$

23/2pi= 3.66

The radius of the circle for the circumference of the circle is 23 inches is,

⇒ r = 3.66 inches

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

The circumference of the circle is 23 inches.

Now, We know that;

The circumference of the circle = 2πr

Where, r is radius of the circle.

Hence, We get;

⇒ 2πr = 23

⇒ πr = 23/2

⇒ 3.14 × r = 11.5

⇒ r = 11.5 / 3.14

⇒ r = 3.66 inches

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ2

Hugo is a veterinarian. he knows the following information about his 41 patrons:

• 20 patrons in total do not have a dog.
• 17 patrons in total have a cat.
• 7 patrons have neither a dog nor a cat

Answers

The number of persons who own a dog but no cat is 24 - 7 = 17, while the total number of people who own a dog is 17 + 4 = 21.

What exactly does "patron" mean?

formal a customer of a specific eatery, lodging facility, or other establishment. Only customers may use this parking lot. synonyms and words that are similar. a hotel or guest house stay.

Since there are a total of 41 customers, the number of those without cats is calculated as follows: 41 – 17 = 24.

13 people(20 - 7) do not own dogs but do own cats.

There are 4 persons who own both a dog and a cat (17 - 13).

The people who have a dog, and do not have a cat is 24 - 7 = 17, and the total of the people who have a dog is 17+4 = 21.

To know about patrons visit link :

brainly.com/question/16783674

#SPJ1

Even counting numbers less than 10

Answers

Answer:

2, 4 6, 8

Step-by-step explanation:

The counting numbers are the set of numbers: 1,2,3,4,... It follows that pattern forever. No, 1/2 or .0745.

Answer:

2 4 6 8 is the answer for your question

{ (-2, 4), (0, 2), (-1, 3), (4, -2)}
The set of ordered pairs above:
DONE
Domain
-3
4
-1
5
Range
3
7
-2
The mapping diagram above:
DONE
y=x²
DONE
x
-3
-1
y
5
2
-1
The table above:
DONE ✔

Answers

The set of ordered pairs above: is a function.

The mapping diagram above: is a function.

y = x²: is a function.

The table above: is not a function.

What is a function?

In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).

In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).

Read more on function here: brainly.com/question/27862183

#SPJ1

What does 8/y + 6 have in common with 8^y + 5?
A. they have the same value
B. both are binomial
C. both are trinomials
D. neither is a polynomial

Answers

Answer:

Answer is d because no is a polynomial

The correct answer would be “D”

I am lost on this question i found both but it keeps on telling me i am incorrect

Answers

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1) >only moves in x direction so subtract x's

AB = 4-(-2) >only moves in y direction so subtract y's

5. The temperature was 18 degrees in the morning. It dropped 13 degrees by
noon. What is noon's temperature?*

Answers

Answer:

Step-by-step explanation:

Its now 5 degrees outside, since 18 -13 is 5

Ty bought a new computer for $499. This brand depreciates at a rate of 12% of the original price per year. The value y of Ty's computer, x years after he purchased it, is found using an equation in the form y = mx + b. What is the approximate value of m?

Answers

Answer:

the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.

Step-by-step explanation:

o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").

Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:

m = -12% / 100 = -0.12

write thirteen trillion, eight hundred two billion, ninety in standard form.

Answers

Thirteen trillion, eight hundred two billion, ninety in standard form will be 13820000000019.

What are numbers?

A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples. One trillion is represented by the international number system as 1,000,000,000,000, as we mentioned in the definition of a trillion.

After the one, there are 12 zeros. Additionally, we are aware that a billion is expressed as 1,000,000,000. After the one, there are 9 zeros. One trillion will result from multiplying 1000 by one billion.

The number thirteen trillion, eight hundred two billion, ninety in standard form can be written as below:-

Thirteen trillion, eight hundred two billion, ninety= 13820000000019

Therefore, thirteen trillion, eight hundred two billion, ninety in standard form will be 13820000000019.

To know more about numbers follow

https://brainly.com/question/4436217

#SPJ2

You play the following simple game of chance. A fair coin is flipped. If it comes up heads, you win a dollar. If it comes up tails, you lose a dollar. Suppose you start with N dollars in your pocket. You play repeatedly until you either reach M dollars or lose all your money, whichever comes first. M and N are fixed positive integers such that 0 < N < M.

a. Show that with probability one the game ends, in other words, that the amount of money in your pocket will eventually hit 0 or M.
b. What is the probability that the game ends with M dollars in your pocket?

Answers

Answer:

A) E(x) = n ( 1 - p ) = u ( 1 - 1 ) =0

B) $_{n} C_{x} .P(1-p)_{n-x}$

Step-by-step explanation:

In other to make money ( M ) you have to flip more head than tail

where : 0 < N < M

N = dollars in your pocket

M = money made from flipping the coin

A) Show that with the probability one that the money in your pocket ends in a 0 or M as the game ends

This is a binomial distribution problem hence to show that the money in your pocket ends in a 0 or M can be shown as

E(x) = np = u * 1

p = p( head )

1 - p = P ( tail ( failure ))

Hence

E(x) = n ( 1 - p ) = u ( 1 - 1 ) =0

b) probability that the game ends with M dollars in your pocket

To end up with M dollars you have to flip a head more often than a tail

P( head ) = p

P( tail ) = 1 - p

Hence the probability that the game ends with M dollars in your pocket

= $_{n} C_{x} .P(1-p)_{n-x}$

n = number of successions

p = probability of flipping a head

p-1 = probability of flipping a tail

In this exercise we have to use the knowledge of probability and binomials to calculate what is asked in this way we find that:

A) $E(x) = n ( 1 - p ) = u ( 1 - 1 ) =0$

B) $nC_xP(1-p)_{n-x}$

In other to make money ( M ) you have to flip more head than tail where : $0 < N < M$

N = dollars in your pocket M = money made from flipping the coin

A) Show that with the probability one that the money in your pocket ends in a 0 or M as the game ends. This is a binomial distribution problem hence to show that the money in your pocket ends in a 0 or M can be shown as:

$E(x) = np = u * 1\\p = p( head )\\1 - p = P ( tail ( failure ))\\E(x) = n ( 1 - p ) = u ( 1 - 1 ) =0$

b) probability that the game ends with M dollars in your pocket. Hence the probability that the game ends with M dollars in your pocket:

n = number of successions p = probability of flipping a head p-1 = probability of flipping a tail

To end up with M dollars you have to flip a head more often than a tail:

$P( head ) = p\\P( tail ) = 1 - p\\nC_xP(1-p)_{n-x}$

See more about probability at brainly.com/question/795909

Which expression is equivalent to (z + 6)(z – 6)?

Answers

Answer:

$z^{2} +z-36$

Step-by-step explanation:

Multiply

I need help can anyone help me

Answers

In 7 years, the car was 18,000 and after 5 years it is worth 10,500 so if you subtract 18000-10500=7500 and if you do 7500/5=1500 so this means that the car was going down 1500 in value every year.

I need help with this

Answers

Answdf-ipuofnvpaosnpvpsivdi

the asnwer is b

Step-by-step explanation:

wef iweufhnwefhewihwnfvbrgfnhpfbovnv urfghv nvmv

y=x-1 y=1/2x+1 whats the solution?

Answers

Answer:

x = 4, y = 3

Step-by-step explanation:

y = x - 1

y = 1/2 x + 1

y = y, so x-1 = 1/2x + 1

x - 1/2x = 1 + 1 --> 1/2x = 2

Multiply both sides by 2:

x = 4.

Plug x to find y

y = 4 - 1 = 3

You can check your answer by plugging x into both equations and seeing if they equal:

y = 1/2(4) + 1 = 3

You can also solve this by graphing if you want to.

What is the approximate value of 159 to the nearest tenth?
Select the dot to plot your answer on the number line ASAP!!!!! WILL GIVE BRAINLEST TO CORRECT PERSON!!!!

Answers

Answer:

12.6

Step-by-step explanation:

The square root on 159 is 12.6095202129. Rounding to the nearest tenth should be 12.6.

Problems like this require a calculator for most people.

The approximate value of $\sqrt{159}$ to the nearest tenth is 12.61

Here,

We have to find the approximate value of $\sqrt{159}$ to the nearest tenth.

What is Rounding number?

Rounding is a method of approximating a number to its nearest place value.

Now,

The value of $\sqrt{159}$ = $12.6095202129.$

To find Rounding number of 12.6095202129 nearest tenth look at the hundredth number. The number is 9 which is greater than 5, then add 1 in tenth place and remove all the number after tenth place.

Hence,

Rounding number of 12.6095202129 nearest tenth is 12.61

Learn more about the rounding number visit:

https://brainly.com/question/27207159

#SPJ2

is 2 square root of 5 plus three rational or irrational

Answers

Answer:

It is irrational

Step-by-step explanation:

It is irrational.

Shoe your work I need an explanation please.

Answers

Answer:

12.6 m^2

Step-by-step explanation:

area of sector = 90/360 × 3.14 × 4^2

= 12.56

to the nearest tenth = 12.6 m^2

$\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} \theta =\stackrel{\textit{in degrees}}{angle}\\ r=radius\\[-0.5em] \hrulefill\\ \theta =270\\ r=4 \end{cases}\implies A=\cfrac{(270)(\stackrel{\pi }{3.14})(4)^2}{360}\implies \underset{\textit{rounded up}}{A\approx 37.7}$

Convert 1.03 x 10⁴ mL to L

Answers

Answer:

1.03 x 10⁴ mL = 10.3L

Step-by-step explanation:

1L = 1000mL

so 10300mL = 10.3L

solve for z
4/z =
12/5
what is z

Answers

Answer:

5/3 = z

Step-by-step explanation:

You can use proportions to figure this out.

Imma solve this as I work through it.

4/z is equal to 12/5. So you can do something called the butterfly method (I have never used this before, but it works tho) and the method involves only multiplication and division.

Lemme clean this up for ya

The butterfly method involves multiplying in a cross format on both sides, so the

4 12

__ = ______

z 5

becomes 4 times 5, and z times 12.

4 times 5 is 20, and z times 12 is 12z

so you now have 20 = 12z

Lets simplify the equation by dividing by 4s

20 divided by 4 is 5 and 12z divided by 4 is 3z

5 = 3z

You can divide again

by dividing both sides

to get the unit rate of z.

It will be a fraction though

and it won't look pretty

but here it is:

__ = z

It is

5/3

Hope this helps

and hope you get a laugh out of this

yeeha

-6 - (-14) Please help And pleas show work or explane if you know the answer??

Answers

Answer:

Step-by-step explanation:

First, we have to simplify the equation. A negative term multiplied by a minus sign will ALWAYS be positive.

-(-14) = 14

Then, we will evaluate the expression.

-6+14 = 8

If it helps, you can rearrange the equation.

14-6 = 8.

Hope this helps!

Can anyone help me? Please?

Which of the following conclusions is false?
(A): If 50 students read four books, then 100 students read two books.
(B): If the summer reading requirement was to read at least three books, then 42% of the students did not meet the requirement.
(C): Only four students read five or more books.
(D): Sixteen percent of the students read four or more books.

Answers

Answer:

Its C because each % is not one student

Step-by-step explanation:

A percentage is a way to describe a part of a whole. The conclusion that is false is C.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

A.)Students who read 4 books = 12% of Total student

50 = 0.12 × (Total students)

Total students = 50/0.12

Now, the number of students who read two books are,

Number of student of read two book = 24% of total students

= 0.24 × (50/0.12)

= 100

Hence, The given statement is true.

B.) The students did not meet the requirement = Students who read 1 book + Students who read two books

= 12% + 24%

= 42%

The given statement is true.

C.) Only four students read five or more books. It is given that 4% of the students read 4 or more books, therefore, the given statement is false.

D.) The number of students who read four or more books

= Student who are read 4 books + Students who read 5 or more books

= 12% + 4%

= 16%

Hence, the given statement is true.

Learn more about Percentages here:

https://brainly.com/question/6972121

#SPJ2

Given w= 1+iand z =1+i which number can be added to w to produce z?

o i
o -i
o 0i
o -2i

Plz help!!

Answers

Answer:

C. 0i

Step-by-step explanation:

Edge 2020

(1 + i) + 0i = 1 + i

Answer:

Step-by-step explanation:

Central limit theorem: Sample proportion
The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is
no malfunction, the defect rate inthe manufacturing process (due to imperfections in the material used) is 1%. When 1.5% or more of the light bulbs in the
sample of 4400 are defective, the control unit calls repair technicians for service.

Answer the following. (If necessary, consult a list of formulas.)

(a) Find the mean of P, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction.

(b) Find the standard devition

(c) Compute an approximation for PCP >0.015), which is the probability that the service technicians will be called even though the system is functioning
properly. Round your answer to four decimal places.

Answers

Answers wiebsuwbsyjwvs he dustbdysfais he eibssavabsbsusv god blesses you

Find the perimeter & anarea of the rectangle2x-35(-2)

Answers

if the length and height of the rectangle are 2x-3 and 5(-2), respectively, the perimeter and area of the rectangle are:

Perimeter = 2*lenght + 2*height

Perimeter = 2*(2x-3) + 2(5)(-2)

Perimeter = 4x - 6 - 20

Perimeter = 4x - 26

Area = length* height

Area = (2x - 3)*(5(-2))

Area = (2x - 3)*(-10)

Area = -20x + 30

Drag each tile to the correct box.
Tickets for all of the described charity raffles cost $2 per ticket. Arrange the raffles in ascending order of their expected values to the player.