The Council of American Beet Farmers estimate that 60% of Americans love beets.

Based on this estimation, determine the probability for each of the following scenarios. Round your answers to three decimal places.

In a survey of 22 Americans, exactly 15 of them will respond that they love beets.

Answers

Answer 1

Answer: 13% or  0.1314

Step-by-step explanation: Binomial PDF on the calculator or by hand its

22 nCr 15 (0.60)^15(1-0.6)^7 = 0.131378

Answer 2

The probability in a survey of 22 Americans where exactly 15 of them will respond that they love beets given that 60% of American love beets is 0.131.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The binomial probability distribution:

[tex]^nC_r p^r (1 - p)^{n - r}[/tex]

Now,

p = 60% = 60/100 = 0.6

1 - p = 1 - 0.6 = 0.4

n = 22

r = 15

Now,

[tex]^nC_r p^r (1 - p)^{n - r}[/tex]

= [tex]^{22}C_{15}(0.6)^{15} (0.4)^{22 - 15}[/tex]

= [tex]^{22}C_{15}(0.6)^{15} (0.4)^7[/tex]

= 0.1313

Thus,

The probability is 0.131.

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Related Questions

Place each pair of angles in the correct column.

Answers

Answer:

congruent: 1 & 8,

congruent & corresponding: , 4&8

supplementary: 2&5, 3&5, 3&4

i don’t see how anything can be congruent AND supplementary unless the angles are both 90.... hope this helped

Slope from graph 2
Find the Slope!

Answers

Answer:

y= -4x+4

Step-by-step explanation:

so the slope is -4x

Answer:

5/2 is the slope

Step-by-step explanation:

Rise/Run= 5/2

so, slope=5/2

Nikki makes $9.50 an hour working at Current Electronics She plans to buy a DVD recorder that costs $269.60. Write and solve an inequality
describing how many hours h Nikki will have to work to be able to buy the DVD recorder
A. 269,60 -- 29.56; 28 hours
B. 9.50h 2 269,60; 29 hours
C. 269.60 + h 29.50; 31 hours
D. 269.60 2 9,50; 30 hours

Answers

Answer:I would believe it's the first choice. I'm not great with the inequalities though so it could be wrong. If you work 29 hours making $9.50, you make like $275 or something so it is greater than the $269.60 you need. :D

Answer:

nikki should quit her job

Which relation below is not a function

Answers

Answer:

its c i believe <3

Please help me find out if there congruent

Answers

Tip all u have to do is look up the name for each one and it shows u

What is quardtric form

Answers

Answer:

445

Step-by-step explanation:

Please help me!!! Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?

Include A.M. or P.M. in your answer

Answers

Answer:

1:35 pm

Step-by-step explanation:

Given that:

Willis tower = 1 hour 10 minutes

Navy piers = 3 hours 10 minutes

Shopping = 1 hour 15 minutes

(1 hour 10 min) + (3 hour 10 minutes) + 1 hour 15 minutes

Total time touring Chicago = 4 hours 35 minutes

Since dinner reservation is at 5 :10 pm

Touring should start latest:

5:10 - 4 hours 35 minutes = 1 :35 pm

b) The marks obtained by 40 students in mathematics in examination are given below. Group the data into the class intervals of length 10 and construct a cumulative frequency distribution table.
42, 68, 80, 45, 92, 36, 8, 17, 49, 30
5, 26, 98, 74, 53, 65, 72, 28, 55, 46
86, 70, 62, 27, 16, 44, 85, 59, 51, 73
66, 78, 38, 81, 97, 77, 69, 45, 33, 67

Answers

Hope this might help u

) Buyers are charged a shipping fee of $4.75 for each scarf order.
Which expression can you use to find the total price of a scarf order?

Answers

Answer:

huh can you put the whole question?

Step-by-step explanation:

Put all the answers

Step-by-step explanation:

1 poll
Olivia is 4 feet 10 inches tall. She compared her height with her younger
sister, Susan, and found that Susan is 15 inches shorter than she is. What is
Susan's height, in inches?

Answers

Answer:

Step-by-step explanation:

4 feet = 48 inches, add 10 inches  = 58 inches

if susan is 15 inches shorter, 58- 15 = 43

43/12 = 3 feet 5 inches

Seventh grade
M.1 Add, subtract, multiply, and divide money amounts: word problems HGN
You have prizes to reveal
A high-tech company came out with two new MP3 players this week. It costs $465 for the
model with more memory or $107 for the one with less memory. What is the price
difference?
Submit

Answers

Answer:

C. NUMBER OF DOWNLOADED SONGS

Step-by-step explanation:

Among the following, the independent quantity in the function:

amount of remaining MP3 player memory as a function of downloaded songs is

The remaining memory will depend on the number of songs downloaded. So, the number of downloaded songs is considered as the independent variable while the remaining memory is the dependent variable.

Answer:

Easy, 358

Step-by-step explanation:

because 2 new mp3 players are $465 and have new storage.

While 1 new mp3 player is $107 but it has less storage.

So we subtract because it's asking us the difference between the price of the $465 and the $107.

465

- 107

--------

358

The area of the rectangle is 64.8 square centimeters. What is the perimeter of the rectangle? 10cm and 8cm​

Answers

10cm + 10cm + 8cm + 8cm = 36cm

The perimeter of the given rectangle is 32.2 cm.

What is a perimeter?

The perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.

Given that, The area of the rectangle is 64.8 square centimetres.

Area = l*w

l*w = 64.8

l = 64.8/w

Perimeter = 2(l+w)

= 2(64.8/w+w)

= 129.6/w +2w

We take the derivative of P and set it to 0,

dP = -129.6/w²+2

-129.6/w²+2 = 0

129.6/w² = 2

2w² = 129.6

w² = 64.8

w = 8.05

Now, we have,

l = 64.8/w

∴ l = 64.8/8.05 = 8.05

The perimeter = 2(l+w)

= 2(8.05+8.05)

= 2*16.10

= 32.2 cm

Hence, The perimeter of the given rectangle is 32.2 cm.

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The question is below

Answers

9514 1404 393

Answer:

  162°

Step-by-step explanation:

The measure of inscribed angle ADC is half the measure of the intercepted arc AC. That arc has a measure that is the same as the central angle it subtends, angle ABC.

So, central angle ABC is twice the measure of inscribed angle ADC:

  m∠ABC = 2·81° = 162°

WHATS THE ANSWER HELP

Answers

The answer to that problem is (3, 1)

Type the correct answer In each box.
What are the values of x and y that make the equations true?
Equation A
(x + yi) + (4 – 7i) = 3 - 4i
Equation B (x + yi) - (-6 + 14i) = 18 + 2i
In equation A, x =
and y =
In equation B, r =
and y =

Answers

9514 1404 393

Answer:

  A: x = -1  and  y = 3

  B: x = 12  and  y = 16

Step-by-step explanation:

In each case, you can add the opposite of the constant to find the variable.

Equation A

  (x +yi) +(4 -7i) = (3 -4i)

  (x +yi) +(4 -7i) -(4 -7i) = (3 -4i) -(4 -7i) . . . . . add -(4-7i) to both sides

  x +yi = (3 -4) +(-4-(-7))i = -1 +3i

  x = -1  and  y = 3

__

Equation B

  (x +yi) -(-6 +14i) = (18 +2i)

  (x +yi) -(-6 +14i) +(-6 +14i) = (18 +2i) +(-6 +14i) . . . . . add (-6 +14i) to both sides

  x + yi = (18 -6) +(2 +14)i = 12 +16i

  x = 12  and  y = 16

Answer:

In equation A: x=-1 and y=3

In equation B: x=12 and y=16

Step-by-step explanation:

ASAP!!!!
What is 4 1/2 x 2

Answers

Answer:

Answer is 9 Broski mark as brainliest

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Tickets for all of the described charity raffle games cost $2 per ticket .identify the games in which a person who buys a ticket for each game every day for the next 400 days could expect to lose less than a total of $200

Answers

Answer:

Step-by-step explanation: this is for plato users!

1) -1 = x – 5
2) -5x + 2 = 17

PLS ANSWER PLS PLS PLS

Answers

Are you trying to do substitution or elimination?

3. (03.01)
Which expression is equivalent to 3(5 + 6)?
8+9
8 + 6
15 + 18
15 + 6

Answers

15 + 18 is equivalent

Bags of pretzels are sampled to ensure proper weight. The overall average for the samples is 9 ounces. Each sample contains 25 bags. The standard deviation is estimated to be 3 ounces. The upper control chart limit (for 99.7% confidence) for the average would be ________ ounces.

Answers

Answer:

The value is [tex]UCL = 10.8[/tex]  

Step-by-step explanation:

From the question we are told that

    The sample mean is  [tex]\= x = 9 \ ounce[/tex]

    The sample size is  n =  25

    The standard deviation is  [tex]\sigma = 3 \ ounce[/tex]

Given that the sample size is not large enough i.e  n<  30  we will make use of the student t distribution table  

From the question we are told the confidence level is  99.7% , hence the level of significance is    

      [tex]\alpha = (100 -99.7 ) \%[/tex]

=>   [tex]\alpha = 0.003[/tex]

Generally the degree of freedom is  [tex]df = n- 1[/tex]

=>  [tex]df = 25 - 1[/tex]

=>  [tex]df = 24[/tex]  

Generally from the student t distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 24[/tex]   is  

   [tex]t_{\frac{\alpha }{2} , 24 } = 3.0 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = t_{\frac{\alpha }{2} , 24} *  \frac{\sigma }{\sqrt{n} }[/tex]

=>     [tex]E = 3.0 *  \frac{3 }{\sqrt{25} }[/tex]

=>     [tex]E =1.8 [/tex]

Gnerally the  upper control chart limit  for 99.7% confidence is mathematically represented as

         [tex]UCL = \= x + E[/tex]

=>      [tex]UCL = 9 + 1.8[/tex]  

=>      [tex]UCL = 10.8[/tex]  

     

The measures of the angels of a triangle are show. In the figure below solve for x

Answers

Answer:

54

Step-by-step explanation:

90+36= 126

180-126= 54

how can 52/9 be expressed as a decimal ​

Answers

Answer:

5.777777778

Step-by-step explanation:

:)

Joe marked up all the shoes in his store by 15%. If a pair of shoes originally cost $45, what was the price after the markup?

Answers

Answer:

The price would be $51.75.

Step-by-step explanation:

Since Joe is marking up by 15%, the price will increase for the pair of shoes.  Multiply 45 by 1.15 since you are increasing the price by 15% to get your final answer which is $51.75.

The temperature at noon is 75 degrees. The temperature drops 3 ½ degrees every half hour because a cold front starts coming through the area. What is the temperature at 4 P.M.?

Answers

Answer:

47 degrees

Step-by-step explanation:

3 1/2 x 8= 28

75-28= 47

Chanel rolls a 6-sided die {1,2,3,4,5,6), and then flips a coin {H,T}
Which outcome is in the sample space of this experiment?
A.5H
B. T3
C. 24
D.TH

Answers

Answer:

5H

Step-by-step explanation:

Given

A roll of die followed by a flip of coin.

Required

Determine possible outcome in the sample space

Taking the experiment one at a time.

A roll of die will either give any of 1 to 6 as its outcome.

A flip of coin will either give any of H or T as its outcome.

So, the possible outcomes of a roll of die followed by a flip of coin is:

{1H,2H,3H,4H,5H,6H,1T,2T,3T,4T,5T,6T}

Note that numbers came first because the question stated that the die is rolled first.

Comparing the list of given options with the sample space above.

Option (A) i.e. 5H answers the question.

what is the solution for x in the question? -4 +5x-7 =10+3x-2x
x =4/13
x =4/21
x =21/4
x =13/4

Answers

Answer:

x= 21/4

Step-by-step explanation:

have a good day

During each week of piano lessons, William learns to play 2 new pieces. Write an equation that shows the relationship between the weeks of lessons x and the total number of pieces learned y.

Answers

Answer:

William can find how many piano pieces he has learned by using the equation y = 2x.

Step-by-step explanation:

We are given that William learns two piano pieces per week.

We are tasked with finding the equation that represents this relationship (the number of weeks that William has received piano lessons and the total number of piano pieces that William has learned).

The number of weeks that William has attended piano lessons is represented by the variable x.The total number of piano pieces that William has learned is represented by the variable y.

Therefore, take for example that William has been taking piano lessons for four months. This would roughly equate to sixteen weeks.

[tex]x=16[/tex]

After analyzing this, we know that he learns two pieces a week. So, we can multiply our number of weeks by two in order to receive the total amount of pieces learned.

[tex]x \times 2[/tex]

Finally, we need to set this equal to the total number of pieces learned, or our previously defined variable y.

[tex]y=x\times 2[/tex]

In mathematics, we want to simplify everything as much as possible. There is a statement that if a constant and a variable are to be multiplied, we can remove the multiplication symbol and place the constant and the variable together.

[tex]y=2x[/tex]

Therefore, our equation is [tex]\bold{y = 2x}[/tex].

Multiply the following complex numbers: (-7+ ) and ( + i). Show all work and explain the steps you are taking in the work.

Answers

Answer:

Step-by-step explanation:

in complex number land there are two distict parts real.. the first number and imaginary.. the second number with the i

if your problem really only has a 7 and an i in it.. then it looks like below

7 * i  = 7i

but..I suspect you just left out a bit of the problem.. repost .. i'll answer it again if the problem is different that what you posted already  :)

The complex number is indeed the product of real and imaginary numbers. It's stated in proper format as a + bi, where a reflects the current part while bi represents the imaginary part, Either because portion could be 0 in theory, any actual or imagined integer can be considered a complex number, and further calculation can be defined as follows:

Given:

[tex]\to \bold{-7+}\\\\\to \bold{+i}[/tex]

To find:

Multiply complex numbers.

Solution:

[tex]\to \bold{-7+}\\\\\to \bold{+i}[/tex]

[tex]\therefore\\\\\to \bold{a+ib}[/tex]

In these questions, the value of a is missing so,

[tex]\to \bold{-7+ \times +i}\\\\\to \bold{-7 \times i}\\\\\to \bold{-7i}\\\\[/tex]

Therefore, the final answer is "-7i".

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Plz Help!!!
Will Give Brainliest to the First Person that answers!!!

Answers

Answer:

20

Step-by-step explanation:

10 more than a number w is -2.6

Answers

What kind of question is that? That’s a statement.

Answer:

10 + w = -2.6

Step-by-step explanation:

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