Determine which of the given procedures describe a binomial distribution. Select one: A. Record the number of ear piercings in a group of 30 randomly selected college students. B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18. C. Surveying customers leaving a hardware store until a customer responds that he or she spent more than fifty dollars.

Answers

Answer 1

Answer:

B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Option A:

No, since it is not the probability, or percentage of students that have ear pircings, it is the number, which can assume values larger than 1.

Option B:

Yes, since it is a probability, each customer is independent of other customers, and in each trial, there are only two possible outcomes. This is the correct answer.

Option C:

No, this is called inverse binomial, as we want to find the number of customers until one does something, not the probability of a number of customers doing something.


Related Questions

A directed line segment starts at (1.0) and ends at (4.6), Point R partitions the segment
in the ratio of 2 to 1. What are the coordinates of point R?
(PLEASE HELP ASAP)

Answers

9514 1404 393

Answer:

  (3.4)

Step-by-step explanation:

The length of the given segment is 4.6 -1.0 = 3.6. The first portion of the division will be 2/(2+1) = 2/3 of that length, or (2/3)(3.6) = 2.4.

Then the coordinates of point R are ...

  (1.0) +(2.4) = (3.4)

__

Additional comment

We cannot tell if your coordinates are supposed to be Cartesian coordinates (1, 0) and (4, 6), or if they are points on a number line. As it happens, it makes no difference. The final answer is interpreted the same way the given coordinate points are interpreted: 3.4 on a number line or (3, 4) on a plane.

Write an equation in slope-intercept form for the line between (2,7) and (6, 19)

Answers

Answer:

y= 3x +1

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]

☆ (x1, y1) is the 1st coordinate and (x2, y2) is the 2nd coordinate

Using the formula above, slope of line

[tex] = \frac{19 - 7}{6 - 2} \\ = \frac{12}{4} \\ = 3[/tex]

Subst. m=3 into the equation:

y= 3x +c

To find the value of c, substitute a pair of coordinates.

When x= 2, y= 7,

7= 3(2) +c

7= 6 +c

c= 7 -6

c= 1

Thus, the equation of the line is y= 3x +1.

f - 3/4 = 1 1/2 please help !

Answers

Answer:

f = 2.25

Step-by-step explanation:

Given that,

[tex]f-\dfrac{3}{4}=1\dfrac{1}{2}\\\\f-\dfrac{3}{4}=\dfrac{3}{2}[/tex]

Adding 3/4 to both sides of the equation.

[tex]f-\dfrac{3}{4}+\dfrac{3}{4}=\dfrac{3}{2}+\dfrac{3}{4}\\\\f=\dfrac{6+3}{4}\\\\f=\dfrac{9}{4}\\\\f=2.25[/tex]

So, the value of f is equal to 2.25.

28 = 7(n + 3) what does this mean

Answers

Answer:

I don't know the answer to this

7 times 4= 28. so n would equal 1. because 7x(1+3)=28. so n=1. hope that helps

Candidate B recieved 5 times as many votes as Candidate A. Whats the ratio of votes for Candidate B to votes for Candidate A?

Answers

B:A=5:1 because B is 5 times A. for every one vote A has, B has 5

write an equation in slope-intercept form for the line that has a slope of 4 and passes through the point (3,24)​

Answers

Answer:

y = 4x + 12

Step-by-step explanation:

y = mx + b

'm' represents slope

'b' represents the y-intercept

use the slope and the point (3,24) as your x and y inputs to find 'b'

24 = 4(3) + b

24 = 12 + b

b = 12

y = 4x + 12

Write 0.6% as a fraction in simplest form.

Answers

Answer:

[tex]\frac{3}{5}[/tex]

Answer:

3/500

Step-by-step explanation:

Percent means

per hundred.

So we have the following.

0.6%=0.6 per hundred = 0.6/100

We next need to rewrite 0.6/100 so that is doesn't have a decimal in the numerator.

To do this, we multiply it by 10/10, which equals 1.

0.6/100 = 0.6/100 x 10/10 = 6/1000

(Note that we do not try to cancel when doing the multiplication.)

Our answer must be written in simplest form.

This fraction has a denominator of 1000.

So we can simplify it by focusing only on the factors 2 and 5.

In this case, we can divide both the numerator and denominator be 2.

6/1000 = 6 ÷ 2/1000 ÷ 2 = 3/500

We cannot use 2 or 5 to simplify further. So 3/500 is in simplest form.

So the answer is 3/500.

A sporting goods store charges $27 for 3 basketballs and $90 for 5 boxes of sneakers. A coach orders 40 basketballs and 7 boxes of sneakers. How much will the coach pay for the basketballs and sneakers?

Answers

Answer:

Let's start with the total money needed for basketballs

The total money the coach will need for 40 basketballs will be 40 times price of one basketball.

Thus we need to find the price of one basketball.

$27 for 3 basketballs

Thus for one basketball, [tex]\frac{27}{3}[/tex] Which gives us,

'9'.

So for 40 basketballs 40 * $9

Which gives us $360.

Now let's find the total money needed for sneakers.

The total money needed for sneakers is 7 times the cost of one sneaker.

So, we need to find the cost of 1 sneaker

which is [tex]\frac{90}{5}[/tex]  which gives us,

$18.

Thus total amount of money  needed for sneakers is 9 * $18 which gives us

$162

So total amount the coach has to pay is $360+$162 (total cost of basketballs + total cost of sneakers)

=$552

Therefore, total amount the coach has to pay is $552

The probability that an event will occur is . Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible

Answers

Answer:

unlikely hope it helps

Step-by-step explanation:

Mike brought 480 crayons that came in packs of 15 how many packs of crayons did Mike buy

Answers

Answer:

32 packs of crayons

Step-by-step explanation:

480 divided by 15 equals 32.

7(11p + 3) -9 p equals ​

Answers

Answer: 68p+21

Step-by-step explanation:

(x-2)^2-6(x-2)+5=0
Find a Value of X

Answers

Answer:

The values of x are:

[tex]x=3,\:x=7[/tex]

Step-by-step explanation:

Given the expression

[tex](x-2)^2-6(x-2)+5=0[/tex]

Expand (x - 2)² = x² -4x + 4

[tex]x^2-4x+4-6\left(x-2\right)+5=0[/tex]

Expand: -6(x - 2) = -6x + 12

[tex]x^2-4x+4-6x+12+5=0[/tex]

simplifying

[tex]x^2-10x+21=0[/tex]

Factor  x² -10x + 21:  (x - 3) (x - 7)

[tex]\left(x-3\right)\left(x-7\right)=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]x-3=0\quad \mathrm{or}\quad \:x-7=0[/tex]

solving x - 3 = 0

x - 3 = 0

Adding 3 to both sides

[tex]x-3+3=0+3[/tex]

simplify

x = 3

solving x - 7 = 0

x - 7 = 0

Adding 7 to both sides

[tex]x-7+7=0+7[/tex]

Simplify

x = 7

Therefore, the values of x are:

[tex]x=3,\:x=7[/tex]

The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for hours. The Thompson family's sprinkler was used for hours. There was a combined total output of of water. What was the water output rate for each sprinkler if the sum of the two rates was per hour

Answers

This question s incomplete, the complete question is;

The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.

There was a combined total output of 1050 of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour  

Answer:

The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

Step-by-step explanation:

Given the data in the question;

let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively

so

x + y = 55  ----------------equ1

x = 55 - y ------------------qu2

also

15x + 30y = 1050

x + 2y = 70 --------------equ3

input equ2 into equ3

(55 - y) + 2y = 70

- y + 2y = 70 - 55

y = 15

input value of y into equ1

x + 15 = 55

x = 55 - 15

x = 40

Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

On the occasion of its 10-year anniversary, AJ Inc. sells lucky draw tickets. If the customers are interested in the lucky draw contest, then they have to purchase a ticket for $15. The gift could be worth $115, $215, $315, or nothing. The probability of each event is given below. What is the value of the standard deviation

Answers

This question is incomplete, the complete question is;

On the occasion of its 10-year anniversary, AJ Inc. sells lucky draw tickets. If the customers are interested in the lucky draw contest, then they have to purchase a ticket for $15. The gift could be worth $115, $215, $315, or nothing. The probability of each event is given below. What is the value of the standard deviation

Probability              0.35     0.26     0.21      0.18

Amount gained     $100     $200   $300    -$15

Option;

a) $11,143

b) $106

c) $10,200

d) $147

Answer:

the standard deviation is 106

Option b) $106 is the correct Answer

Step-by-step explanation:

Given the data in the question;

let the random variable be x

x = amount gained by customers in a lucky draw contest

so

Variance (x) = [∑(x² × P(x))] - [(∑(x × P(x))²]

so

x              x²               p(x)        x.p(x)       x².p(x)

$100      10,000        0.35       35           3,500

$200     40,000       0.26       52          10,400

$300     90,000       0.21        63           18,900

-$15         225           0.18       -2.7          40.5

TOTAL                                   147.3         32,840.5

Variance (x) = [∑(x² × P(x))] - [(∑(x × P(x))²]

we substitute;

Variance (x) = 32,840.5 - (147.3)²

Variance (x) = 32,840.5 - 21,697.29

Variance (x) = 11,143.21

Now Standard Deviation = √variance

so, S.D = √11,143.21

S.D = 105.56 ≈ 106

Therefore, the standard deviation is 106

Option b) $106 is the correct Answer

At Silver Gym, membership is $25 per month, and personal training sessions are $30 each. At Fit Factor,
membership is $45 per month, and personal training sessions are $20 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

Answers

Answer:

2

Step-by-step explanation:

y = mx + b

y = total cost of the gym

m = cost per personal session

x = number of sessions

b = cost of one month

Silver gym:

y = 30x + 25

Fit Factor:

y = 20x + 45

Set them Equal to each other:

30x + 25 = 20x + 45                   (get Xs on one side by subtracting 20x)

10x + 25 = 45                              (isolate x by subtracting 25 from both sides)

10x = 20                                      (divide both sides by 10)

x = 2 personal training sessions to make the cost equal

A cone has a volume of 8tt cubic inches, the height is 6 inches. What is the radius of the cone?

Answers

Answer:

48

Step-by-step explanation:

multiply 8x6 which is 48 .....8,16,24,32,40,48

Benjamin bought a 3-pound bag of flour for $6.95. What is the unit price per ounce of flour? (1 pound = 16 ounces)

Answers

Answer:

The unit price per ounce of flour is

Step-by-step explanation:

We can first change the 3 pound bag into ounces which is just 3x16=48 we can do this because 1 pound=16 ounces. Now we know there are 48 ounces so we divide 6.95/48

Which is .144791666...

Complete the recursive formula of the arithmetic sequence-3,-1,1,3,
b(1)=
b(n) = b(n-1)+ ​

Answers

Answer:

b(1) = -3

b(n) = b(n-1) + 2

Step-by-step explanation:

Notice that there is a common difference in the sequence : each term is the previous one PLUS 2. Then the common difference "d" is 2 making this sequence an arithmetic sequence

b(1) = -3

b(n) = b(n-1) + 2

please help!!!!!!!!!!!!(15 points)​

Answers

3 • (2x + 1) • (x + 7

1
2
Janice has 3 cups of flour. She makes 5 equal-sized portions from the flour.
8
She uses one of the portions to make crepes. Each crepe uses 45 of a cup of flour.
How many crepes does Janice make?
OA
75
B.
15
c.
OD
3

Answers

Answer:

B

Step-by-step explanation:

The constants a, b, and c are positive. Solve the inequality for x. ax - b < c

Answers

Answer:

The solution of the given inequality    [tex]x < \frac{c+ b}{a}[/tex]

Step-by-step explanation:

Explanation:-

Given that the constants a, b, and c are positive

Given inequality     a x - b < c

Adding 'b' on both sides, we get

                             a x - b + b < c

                       ⇒  a x < c + b

Dividing 'a' on both sides, we get

                            [tex]x < \frac{c+ b}{a}[/tex]

Ashley has 3/4 cups of sugar. She used 1/3 of the sugar she has to make holiday cookies for her family. How many cups of sugar did Ashley use to make the holiday cookies?

Answers

5/12 I think because you would need a common denominator

Suppose that a is an angle with sin A = 3/7 and a is not in the second quadrant. Compute the exact value of 10 a. You do not have to rationalize the denominator. Please answer it

Answers

Answer:

The exact value of [tex]10\cdot a[/tex] is [tex]253.77^{\circ}[/tex].

Step-by-step explanation:

Sine function is a bounded function between -1 and 1 and positive in the first and second quadrants. From statement we deduct that [tex]a[/tex] is in the first quadrant, that is, [tex]0^{\circ}< A < 90^{\circ}[/tex]. Then, we determine the angle by inverse trigonometric function:

[tex]A = \sin^{-1} \frac{3}{7}[/tex]

[tex]A \approx 25.377^{\circ}[/tex]

Then, the exact value of [tex]10\cdot a[/tex] is [tex]253.77^{\circ}[/tex].

Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 140 cards, and 20 are selected without replacement for functional testing. a. If 20 cards are defective, what is the probability that at least 1 defective card is in the sample

Answers

Answer:

The probability that at least 1 defective card is in the sample is [tex]0.9644[/tex]

Step-by-step explanation:

Here

N = 140

and n = 20

We will use the below given formula

P(at least 1 defective) = 1 - P( 0 defectives)

P( 0 defectives) =

[tex]= \frac{^{20}C_0 * ^{120}C_{20}}{ ^{140}C_{20}}\\= 0.0356 1-0.0356 \\= 0.9644[/tex]

Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:

In 2013 the most expensive cocktail (made with 1858 ‘Cuvee Leonie’ cognac) was sold in Australia for $12,000. What would have been the equivalent price just one year later, in 2014?

Round your answer to the nearest penny.

Question 2 Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:

The greatest payout for a personal injury was recorded at $163,882,660 in 1993. The car wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been the equivalent payout in 1987?

Round your answer to the nearest penny.



HERES THE CPI CHART FOR IT

Answers

Answer:

wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been the equivalent payout in 1987?

Round your answer to the nearest penny.

HERES THE CPI CHART FOR IT

Step-by-step explanation:

with 1858 ‘Cuvee Leonie’ cognac) was sold in Australia for $12,000. What would have been the equivalent price just one year later, in 2014?

Round your answer to the nearest penny.

Question 2 Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:

The greatest payout for a personal injury was recorded at $163,882,660 in 1993. The car wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been

please help out, tysm. need this asap. i’m gonna mark brainliest! thanks

Answers

Answer:

E and F

Step-by-step explanation:

✔️To eliminate the variable y, we can multiply the first equation, -x + 4y = 1 by 7 and the second equation, 8x - 7y = 42 by 4. This will leave us with the variable x alone to solve for.

✔️Alternatively, we may decide to eliminate the variable x first by multiplying the first equation, -x + 4y = 1 by 8. Both equations would be equivalent, thus when we can easily eliminate the variable x leaving us with variable y to solve for.

write the congruence condition in symbolic form for each pair of triangles. If wrong answer I will report. If correct answer I will mark brainliest.​

Answers

9514 1404 393

Answer:

  ΔXXX ≅ ΔXXX

Step-by-step explanation:

All vertices have the same designation, so the congruence statement is ...

  ΔXXX ≅ ΔXXX

Michelle buys 4 theme park admission cards online and gifts them to
her nieces. What will be the charge for 5 such admission cards, if she spent
$748 on her purchase?

Answers

Answer:

$971(nine hundreds and seventy one dollars

971 $ used the calculator for me

Cuáles son las partes de un término algebraico

Answers

Answer:

coeficiente, variables, exponentes, y el signo.

The two triangles illustrate below are similar. What are the values of x and y?​

Answers

Answer:

Answer is B is the right answer

B because it is b. Don’t worry the answer is B
Other Questions
My camera sucks but hereread the passage from the odyssey. Which quote from the passage shows the ancient Greek value of honesty?A. Soon we shall hear womens voices singing.B. You must take me to the mast and refuse to release meC. But, I confess, I should like to hear their song.D. You shallplug your ears with beeswax Answer the question in the picture. What type of cell in the human body grows but does not undergo mitosis? To adopt a dog from an animal shelter, you must pay $60 for vaccinations, $55 to spay or neuter the dog, and $30 for a wellness exam by a veterinarian. what is the correct order of the numbers from least to greatest. 1/2, 0.6, 6%, 6/5 The table shows Reese's earnings from selling birdhouses. Which statements are correct for this situation?A)X = 20B)y - 20xY 20D)If Reese earned $180, he sold 9 birdhouses.E)The number of birdhouses (x) is the dependent variable, and the amountReese earns (y) is the independent variable. Does x=-5 represent a function Need help Ivan starts with $150 and saves $5 each week. Uma has $45 and saves $20 each week. At what week will they both have the same amount of money? How much money will they each have? HELLP HELP PLEASEEEEEEEE PLEASEEEEEEEEEEE2. Rick bought 3 shirts for $18 each, 2 pairs of socks for $3.50 a pair, and a pair of slacks for$45.00. The sales tax rate is 8.5%.*2. Part A: Write an equation to determine the total amount he pays for the items including tax. Use "t" for the total amount. *2. Part B: How much did he pay in total including tax? Use your equation in Part A. *2. Part C: How much was the total tax? * Hurrryy fast please Read the lines from the poem "In Spite of War." Where morning's altar whitely burns Lilies may lift their silver urnsHow does the poet's word choice in these lines affect the tone? How does sentence six need to be changed? (6) I admit that I had enjoyed sharing a room with my little brother for the last six years. Find the following answer based on the image. Write 3 things you want to learn about the ocean. Rudy has 10 white seashells 23 pink seashells and 21 brown seashells if he divides his seashells equally between 3 friends how many seashells will each friend get? A. Write the names of each food item in the correct category in the chart on youranswer sheet, indicating whether it is more typical for breakfast or for lunch. Identify the vocabulary word for the body part, then choose the correct adjective to describe it.MatchTermDefinitionA) largas B) largaC)largo D)largo Carbon dioxide emissions cause ocean acidification. Ocean acidification reduces coral growth. If ocean acidification continues, corals may become extinct. This is an example of a/an ___________ type of cause of extinction.A)population riskB)environmental riskC)natural catastropheD)genetic risk PLEASE HELP ILL GIVE BRAINLIEST AND 5 STARS AND THANKS!!!!! 60 POINTS!!!!1) y= 2 x- 4 find parallel line through this point (-4,7)2) y= -6x find parallel line through this point ( 4,9)3) y= - x +3 find the perpendicular through this point ( 0,8)4) y= - x find the perpendicular through this point (-2,1) Dr. Hermit believes that antibiotic creams help reduce the spread of disease, _______ Dr. Samsa has a completely opposite opinion and feels that antibiotic creams are detrimental to people's immune systems in the long run.Which word or phrase would most logically go into the blank in this sentence?A) so B) and C) but D) because = 3 + 1 = 3 - 8Solve by substation Find y and x