According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume

Answers

Answer 1

Complete Question

According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume? Integers to . b. Find to 3 decimal places the probability that exactly 6 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables. Use the binomial probability distribution formula. Probability

Answer:

a

The possible value of x is 0, 1 ,2,3,4,5,6,7,8,9,10

b

[tex]P(X = 6) =   0.158 [/tex]

Step-by-step explanation:

From the question we are told that

 The proportion that stated that they have not purchased organic fruits or vegetables is [tex]p =0.74[/tex]

   The sample size is  n = 10

The possible value x can take is  0, 1 ,2,3,4,5,6,7,8,9,10

Generally the probability that exactly 6  households in a random sample of 10 will say that they have never purchased organic fruits or vegetables is mathematically represented as

      [tex]P(X = 6) =  ^nC_6 * p^{6}* (1-p)^{n-6}[/tex]

Here C denotes combination

So

        [tex]P(X = 6) =  ^{10}6 * (0.74)^{6}* (1-0.74)^{10-6}[/tex]

=>    [tex]P(X = 6) =   0.158 [/tex]


Related Questions

what does 3 to the -2 power equal

Answers

Answer:

[tex]\frac{1}{9}[/tex]    

Caroline is baking pies to the teachers lunch at her school she plans to give every teacher 1/8 of a pie she decides to bake 12 pies Each pie takes 26.5 minutes to bake if coraline bakes 1 pie at a time how many total minutes is it​

Answers

Multiply the number of pies by the amount of minutes it takes to bake them
12 x 26.5 = 318

Answer:

It will take her 318 minutes.

Step-by-step explanation:

26.5 times 12 equals 318

4 tens + 14 ones = 5 tens + ___ ones

Answers

Answer:

4 becuase 40+14 = 54 so 50+4= 54 too

Step-by-step explanation:

HOPE THIS  HELPS :)

Given f(x) = 5x + 1, find f(-3).
I need help ASAP

Answers

Answer:

take a look ...........

14/18 in decimal form

Answers

24/18 in decimal form is 0.778

Answer:

.77

Step-by-step explanation:

the 7 is repeating so you can put a dash above the second 7

Question 5
Here are four cards.
4 5 0.
Use each card once to make the largest number that is less than 10
Here are four cards.
4 5 0 .
Use each card once to make the largest number that is less than 10​

Answers

Answer:

9 by adding all the three cards

can i plz plz get some help with this

Answers

Answer: -2/6 or -1/3

show that 5x²+2x-3
can be written in the
form |x+1/5| < 4/5 Hence, solve
the inequality
5x²+2x-3< 0

Answers

5x² + 2x - 3 < 0

5x² + 2x < 3

x² + 2/5 x < 3/5

Complete the square on the left side:

x² + 2/5 x + 1/25 - 1/25 < 3/5

(x + 1/5)² - 1/25 < 3/5

(x + 1/5)² < 16/25

Take the square root of both sides, keeping in mind that √(x²) = |x| for all x.

√((x + 1/5)²) < √(16/25)

|x + 1/5| < 4/5

This means

-4/5 < x + 1/5 < 4/5

-1 < x < 3/5

What is 3/4 ÷ 1/2 ?​

Answers

Answer: 3/4 divided by 1/2 is 1.5

7 – 0.2n = -0.8n + 10
What value of n makes this equation true?
Please helpp

Answers

The answer to the equation is [tex]n=5[/tex]

First, you must add 0.8n on both sides.

[tex]0.6n+7=10[/tex]

Then, subtract 7 from both sides.

[tex]0.6n=3[/tex]

Finally, divide both sides by 0.6

[tex]n=5[/tex]

PLZ HELP !!
Max deposited $1,300 into an account that pays 4.5% interest, compounded daily. At end of six years he has a balance of ?

Answers

Answer:

The final balance is $1,692.94.

The total compound interest is $392.94.

Step-by-step explanation:

1,300 x 0.045=___ x 6

Jesse is driving to a town that is 210 miles away with a speed of 60 miles per hour. If he makes no stops, how long will the trip take?

Answers

Answer: The trip should take 3.5 hours.

Step-by-step explanation: To find the time, divide the distance by the rate. In this case, 210/60 = 3.5.

Answer:

3.5 hours or specifically, 3 hours and 30 minutes

Step-by-step explanation:

We know that the car can be driven 60 miles per hour. The goal is 210 miles. If you divide 210 miles by 60, the result is 3.5. The whole number 3 in 3.5 will represent the hours taken which means 3 hours. The 0.5 will also represent the minutes. 0.5 = 1/2, 1/2 of an hour = 30 minutes.

Hassan predicted that he would sell 178 postcards. He actually sold 142 postcards. What are the values of a and b in the table below?

Percent Error

Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Postcards
178
142
a
b


a = negative 36; b = negative 36
a = negative 36; b = 36
a = 36; b = negative 36
a = 36; b = 36

Answers

Answer:

its b

Step-by-step explanation:

took the test on edge

Need Help. ( Look at the picture). Will Mark Brainliest. Graph the step function over the interval. And you can just write the steps out also. Working on it now but really need help please asap. ​

Answers

Answer:

x = -3

Step-by-step explanation:

f(x) = x + 3

0 = x + 3

-x = 3

x = -3

g Statesville population in 2010 was about 24,700, and was growing by about 1% each year. If this continues, what will Statesville population be in 2018? [Round to the nearest person.]

Answers

Answer:

26,676population

Step-by-step explanation:

Population in 2010 = 24,700

If it grows yearly by 1%, increment per year is expressed as:

1% of 24,700

= 1/100×24700

= 247 populations

After 8years, population increase will be 247×8 = 1976 population

Statesville population in 2018 will be expressed as;

Population in 2010+increase after 8years

= 24700+1976

= 26,676 population

Hence statesville population in 2018 will be 26,676population

Giving out brainlst to whoever can answer this

Answers

100 - 5d + 10d = 130

5 x 20 = 100
5 x -d = -5d

When Alexander moved into a new house, he planted two trees in his backyard. At

the time of planting, Tree A was 36 inches tall and Tree B was 21 inches tall. Each

year thereafter, Tree A grew by 6 inches per year and Tree B grew by 9 inches per

year. Let A represent the height of Tree At years after being planted and let B

represent the height of Tree Bt years after being planted. Write an equation for each

situation, in terms of t, and determine which tree is taller after 3 years.

Answers

Answer:

The equations for each situation are

A = 36 + 6t

B = 21 + 9t

After 3 years, Tree A is taller.

Step-by-step explanation:

From the question,

Tree A was 36 inches tall and Tree B was 21 inches tall at the time of planting; and

Tree A grew by 6 inches per year and Tree B grew by 9 inches per  year after planting.

For Tree A,

Given a period of t years after planting, the height would have increased by 6t

A = 36 + 6t

For Tree B,

Given a period of t years after planting, the height would have increased by 9t

B = 21 + 9t

To determine, which tree is taller after 3 years,

t = 3

For Tree A

A = 36 + 6t

A = 36 + 6(3)

A = 36 + 18

A = 54 inches

For Tree B

B = 21 + 9t

B = 21 + 9(3)

B = 21 + 27

B = 48 inches

Hence, After 3 years, Tree A is taller.

divide 25.84 divide by 4

Answers

i believe it is 6.46

Answer:

25.84 divide by 4 Is 6.46.

20 points & will give brainliest

Find the distance between (5,8) and (3,-1)

Answers

Answer:

root 85

decimal 9.21

slope 9/2

Step-by-step explanation:

didnt know which one you wanted fully

A serving of rice is 2/5 of a cup. How many servings are there in a 1 3/5-cup bag of rice?

Answers

3 i think i’m not sure tho if u add 2/5 until u get 1 3/5 that might help

Write each fraction as a percent. Use a model if needed. V-2
7/10

21/25

3/5

18/25​

Answers

7/10 = 70%
21/25 = 84%
3/5 = 60%
18/25 = 72%
7/10 is 70%
21/25 is 84%
3/5 is 60%
18/25 is 72%

How do you find what p is?

Answers

Answer:

p > -3

Step-by-step explanation:

This is an alternating p-series.  It is absolutely convergent if│an│converges.  1 / nᵖ⁺³ converges if the exponent is greater than 1.

p + 3 > 1

p > -2

The series is conditionally convergent if │an│diverges.  1 / nᵖ⁺³ diverges if the exponent is greater than 0 and less than or equal to 1.

0 < p + 3 ≤ 1

-3 < p ≤ -2

Combining these two, we get p > -3.

Find three nonzero vectors a, b, and c such that a × b = a × c != 0 but b != c.

Answers

9514 1404 393

Answer:

  a = {1, 2, 3}, b = (2, 4, 7}, c = (-3/14, -3/7, 5/14}

Step-by-step explanation:

For the above vectors, ...

  a × b = a × c = (2, -1, 0)

__

Here, c is found to be a scaled version of (a×(a×b)).

Where is the vertex of f(x) = -2x - 3| +6.4?

Answers

(-2x-19.2) I think that is the answer :(


$11000 is compounded semiannually at a rate of 8% for 19 years. What is the total amount in the compound interest account?

Answers

Answer:

all really all you have to do is do 8 divided by 19 and then whatever that number that you get from that attractive from your highest number that you have in your question which is 11000

Compare: -7 -4


PLEASE HELP ME!

Answers

-11? What do u mean compare

Given z1 = StartRoot 2 EndRoot (cosine (StartFraction 3 pi Over 4 EndFraction) + I sine (StartFraction 3 pi Over 4 EndFraction) ) and z 2 = (Cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction Pi Over 2 EndFraction) ) , what is the value of z1 – z2?

cos(0) + isin(0)
cos(0) – isin(0)
cos(Pi) + isin(Pi)
cos(Pi) – isin(Pi)

Answers

Answer: C. cos(Pi) + isin(Pi)

Step-by-step explanation:

The value of subtraction of two given complex numbers z₁ and z₂ is cos(π) + isin(π).

What are complex numbers?

A complex number is an element of a number system that includes real numbers and a specific element labeled i sometimes known as the imaginary unit, and which obeys the equation i² = 1. Furthermore, every complex number can be written as a + bi, where a and b are both real values.

How to solve this problem?

We know that cos(π - x) = - cosx, sin(π - x) = sinx, cos(π/4) = 1/√2 = sin(π/4), cos(π/2) = 0, sin(π/2) = 1, cos(π) = - 1, sin(π) = 0.

Given that z₁ = √2[cos(3π/4) + isin(3π/4)] = √2[cos(π - π/4) + sin(π - π/4)] = √2[- cos(π/4) + sin(π/4)] = √2[- 1/√2 + 1/√2] = √2[0] = 0

and z₂ = cos(π/2) + isin(π/2) = 0 + i × 1 = 1

Now, z₁ - z₂ = 0 - 1 = - 1 = - 1 + i × 0 = cos(π) + isin(π)

Therefore, the value of subtraction of two given complex numbers z₁ and z₂ is cos(π) + isin(π).

Learn more about complex numbers here -

https://brainly.com/question/18643242

#SPJ2

6. The store paid $2.50 for a book and sold it for $5.25. What is the profit as a percent?

Answers

7.75 I hope this helps

Pure acid is to be added to a 10% acid solution to obtain 99L of a 20% acid solution. which amounts of each should be used ?

Answers

Answer:

x = amount of 100% acid solution (pure acid, no water)

y = amount of 10% acid solution (acid + water)

both amounts are in liters

Step-by-step explanation:

The base of a triangle is 12 inches greater than the height. If the area is 80 square inches, find the length of the base
PLEASE HELP

Answers

Answer:

Step-by-step explanation:

Because the area of a triangle you have to divide by 2 and then you get the area right so we multiply 80 x 2 = 160 is the area of the square which you divide by 2 but we are not going to do that. now we have to get 2 lengths with 12 difference so we have to just do trial and error method.

Other Questions
The rule (x, y)(x1, y-3) represents a translation 1 unit ____ and 3 units ____ Data Structure in C++Using namespace std;In this assignment you will implement a variation of Mergesort known as a bitonic mergesort, recursively.In a normal mergesort, the input to the merge step is a single array, which is divided into two sections, both sorted ascending. We assume that the first half (0 up to but not including size/2) is the first section and the second half (size/2 up to but not including size) is the second section.In a bitonic mergesort, we use the same arrangement, except that the second sequence is sorted in descending order: the first half goes up, and then the second half goes down. This means that when we are doing a merge, sometimes we want to merge the results into ascending order, while other times we want to merge into descending order (depending on which "half" of the final array the result will end up in). So we add another parameter, to describe the direction the output should be sorted into:void merge(int* input, int size, int* output, bool output_asc);If output_asc == true then after the merge output should contain size elements, sorted in ascending order. If output_asc == false, output should contain the elements sorted in descending order.The other thing we glossed over in class was the allocation of the temporary space needed by the algorithm. Its quite wasteful to allocate it in each recursive call: it would be better to allocate all the necessary space up front, and then just pass a pointer to it. In order to do this, well write the recursive mergesort function in a helper function which will preallocate the space needed for the results:int* mergesort(int* input, int size) {int* output = new int[size];mergesort(input, size, output, true);return output;}void mergesort(int *input, int size, int* output, bool output_asc) {// Your implementation here}The parameter output_asc serves the same purpose here as for merge: it tells the function that we want the output to be sorted ascending.InterfaceYou must implement the functionsvoid merge(int* input, int size, int* output, bool output_asc);int* mergesort(int* input, int size);void mergesort(int *input, int size, int* output, bool output_asc);Download a template .cpp file containing these definitions. This file is also available on the server in /usr/local/class/src.merge must run in O(n) time with n= size. mergesort (both versions) must run in O(nlogn) time, and must use O(n) space. If you allocate any space other than the output array, you should free it before your function returns.The test runner will test each function separately, and then in combination. It checks the result of sorting to make sure that its actually sorted, and then nothing is missing or added from the original (unsorted) sequence. Is 3,600 rational? Or a perfect square An emotionally __________child is able to go forth and explore his or her world with confidence. !!HELPHELPHELPHELPHELP!!One of the outcomes of the Council of Trent includedA) The Bible is the one and only religious sourceB) continuing the use of indulgencesC) determining the salvation comes from doing good works onlyD) The creation of schools from the priest to educate them against Protestant teachings Who likes sushi?!?!?! How many of the 7 traits of living things have did laws protect minority groups a lot or a little ? HELPPPPPPPOP PLSSSS Which of the following is an example of a Greek or Latin root? spectkindcomfortpowerYour welcomeeeee Please help! Which best explains why Britain divided Florida into two colonies following the French and Indian War?Britain felt that Florida was too large to govern as one colony, so it formed East and West Florida.Britain felt that Florida was too large to govern as one colony, so it gave half of the colony to France.Britain was required to divide Florida into separate colonies by the 1763 Treaty of Paris.Britain was required to divide Florida into separate colonies by France and Spain. To make lemonade, you need 6 lemons and 8 cups of water. How many lemons do you need if you had 24 cups of water? Containers of oats are prepared in advance for a baking project. Later, raisins are added to the oats to make granola bars. This table shows the rate relationship between oats and raisins.Cups of Oats (x) Cups of Raisins (y)10.52131.54252.5Which answer choice includes both a function that describes this relationship and correctly explains how?y = 2 x, because the recipe calls for a ratio of 2 cups raisins per cup of oats.y = x , because the recipe calls for a rate of 1/2 cup raisins per cup of oats.y = x , because the recipe calls for a rate of 2 cups raisins per cup of oats.y = 2 x, because the recipe calls for a rate of 1/2 cup raisins per cup of oats. PLEASE HELP WITH THIS WILL GET EXTRA POINTS which 3 reactions form atp? A bird leaves its nest and travels 15 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours. Does anyone know this answer 4. A triangle has sides of length 7, 10, and s. Write an equation representing the perimeter P of the triangle. If a red-eye female fly is crossed with a red-eye male fly, could they produce offspring with white eyes? Briefly explain your answer. Your answer must include a Punnett square that proves your answer. Jim is visiting the home of one of his co-workers, Randy,and he notices that Randy has a gun safe (a secure place tostore firearms). Jim panics and and asks his co-worker whyhe would ever dream of owning a gun. Randy explains that hehas a gun for two reasons: he is an avid hunter and he enjoyspracticing his Constitutional rights. What amendment would Randy cite in his defense? What does the study of embryology tell us about evolution?