A cheese can be classified as either raw-milk or pasteurized. 82% of cheeses are classified as pasteurized.

a. Two cheeses are chosen at random. What is the probability that both cheeses are pasteurized?
b. Four cheeses are chosen at random. What is the probability that all four cheeses are pasteurized?
c. What is the probability that at least one of four randomly selected cheeses is raw-milk? Would it be unusual that at least one of four randomly selected cheeses is raw-milk?

Answers

Answer 1

Answer:

Step-by-step explanation:

A cheese is said to be classified as either raw-milk or pasteurized.

Given that: 82% is pasteurized,

Then:

Supposed two cheeses are chosen at random;

P(both cheeses are pasteurized) = 0.82 × 0.82

= 0.6724

If four cheeses are chosen at random;

P(that all four cheeses are pasteurized) = 0.82 × 0.82 × 0.82 × 0.82

P(that all four cheeses are pasteurized) = 0.452

The required probability for at least one of the four randomly selected  cheeses is raw milk is:

P(at least one of the randomly selected cheese is raw milk) = 1 - P(that all four cheeses are pasteurized)

P(at least one of the randomly selected cheese is raw milk) = 1 - 0.452

P(at least one of the randomly selected cheese is raw milk) = 0.548

However, since the probability that at least one of the randomly selected cheese is raw milk  is greater than one; then we can conclude that;

It is not  unusual that at least one of four randomly selected cheeses is raw-milk.


Related Questions

What is the square root of 167 -8i -4i 4i 8i​

Answers

Answer:

12.922848

Step-by-step explanation:

I used my calculator

Solve for u.

-3u = -12.99

u =

Please Hurry

Answers

Answer: u = 4.33

Step-by-step explanation:

-3u = -12.99

-3u / -3 = -12.99 / -3

u = 4.33

What is the answer for 4(2p-8)-6p=20+4(p+6)

Answers

Hello! :)

[tex]\large\boxed{p = -38}[/tex]

4(2p - 8) - 6p = 20 + 4(p + 6)

Distribute the coefficients outside of the parenthesis:

4(2p) + 4(-8) - 6p = 20 + 4(p) + 4(6)

8p - 32 - 6p = 20 + 4p + 24

Combine like terms:

2p - 32 = 44 + 4p

Subtract 2p from both sides:

-32 = 44 + 2p

Subtract 44 from both sides:

-76 = 2p

Divide both sides by 2:

p = -38.

Answer p = -4

6p + 2(4 + -2p) = 3(p + 4)

6p + (4 * 2 + -2p * 2) = 3(p + 4)

6p + (8 + -4p) = 3(p + 4)

8 + 6p + -4p = 3(p + 4)

8 + 2p = 3(p + 4)

8 + 2p = 3(4 + p)

8 + 2p = (4 * 3 + p * 3)

8 + 2p = (12 + 3p)

8 + 2p = 12 + 3p

 

8 + 2p + -3p = 12 + 3p + -3p

 

8 + -1p = 12 + 3p + -3p

8 + -1p = 12 + 0

8 + -1p = 12

 

8 + -8 + -1p = 12  

0 + -1p = 12 + -8

-1p = 12 + -8

 

-1p = 4

p = -4

Connor is working two summer jobs, making $8 per hour walking dogs and making $12 per hour landscaping.

Answers

Uhhh ‍♀️ ogey that kinda makes no sense like what do you want me to do


if c = 42 -d is true, then which is greater: cord, or are you not able to tell? Explain how you
know your choice is correct.

Answers

Answer:

what does d equal?

Step-by-step explanation:

Bill takes a loan of $9000 at a 8% simple interest rate for 6 years.
A. How much interest will he pay after 2 years?
B. How much interest will he pay in total for the loan?

a. $ 720.00; $3,600.00
b. $36,000.00; $ 12,000.00
C. $1440.00; $4,320.00
D. $ 1,408.00; $4,224.00

Answers

Answer: you have to divide

Step-by-step explanation:

PLEASE PLEASE PLEASE HELP!! 2 QUESTIONS WITH FUNCTIONS PLEASE!! URGENT!

Answers

Answer:

(-2, 1)16x^2 - 16x + 4

Step-by-step explanation:

1.

Domain is the set of x-values

As per graph the domain is

x = (-2, 1)

2.

f(x) = 4xg(x) = (x - 2)^2

g(f(x)) is, replacing x with f(x) = 4x

g(f(x)) = (4x - 2)^2 ⇒ g(f(x))= 16x^2 - 16x + 4

Answer check helpppp

Answers

Your correct can I get a brain list

Answer:

correct good job!!!

Step-by-step explanation:

Which equation has a center at (2, 1) and a point on the circle of (2, -3)?
O (x + 2)2 + (y + 1)2 = 16
O x - 2)2 + (y - 1)2 = 4
O(x - 2)2 + (y - 1)2 = 16
O (x + 2)2 + (y + 1)2 = 4

Answers

Answer:

Option 3: [tex](x-2)^2+(y-1)^2 = 16[/tex] is the correct answer

Step-by-step explanation:

We will find the equation of the circle with given information and then compare with the choices given.

Given

Center = (h,k) = (2,1)

And point on circle = (2,-3)

The equation of circle is given as:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

The distance between center and point on circle is the radius. So using the distance formula:

[tex]r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\r = \sqrt{(2-2)^2+(-3-1)^2}\\r = \sqrt{(0)^2+(-4)^2}\\r = \sqrt{0+16}\\r = \sqrt{16}\\or\\r = 4[/tex]

Putting the values in equation of circle

[tex](x-2)^2+(y-1)^2 = 4^2\\(x-2)^2+(y-1)^2 = 16[/tex]

Hence,

Option 3: [tex](x-2)^2+(y-1)^2 = 16[/tex] is the correct answer

Answer:

c on edge

i got it right

Suppose that a loan of $8000 is given at an interest rate of 16% compounded each year.
Assume that no payments are made on the loan.
Follow the instructions below. Do not do any rounding ?

Answers

Answer:

9280

Step-by-step explanation:

8000 x .16 + 8000

How much interest is earned on a principal of $900 invested at an interest
rate of 13% for eight years?

Answers

Answer:

11700

Step-by-step explanation:

Which number is a reasonable estimate for 826x64?
А
64,000
B
50.000
6,400
D
5,000

Answers

The answer would be c

4j + 4j − 6j − j = 12
Solve for J

Answers

J equals 12...........

Answer:

j =12 you have to combine like terms which is all and then it will give u 12

i will give brainliest if correct

Answers

Answer:

The surface area of the net shown is: 88 [tex]in^2[/tex]

Step-by-step explanation:

Break up the different shapes in the net:

Let's take the big square first:

It has a side of 5in and a base of 4in.

We multiply both these values to get 20[tex]in^2[/tex]

Lets look at the small rectangular box now:

It has a side of 3in and a base of 4in.

We multiply both these values to get 12[tex]in^2[/tex]

There are two big squares so we add up their surface areas:

20[tex]in^2[/tex] + 20[tex]in^2[/tex] = 40[tex]in^2[/tex]

There are 4 small rectangular squares so we add up their surface areas:

12[tex]in^2[/tex] + 12[tex]in^2[/tex] + 12[tex]in^2[/tex] + 12[tex]in^2[/tex] = 48[tex]in^2[/tex]

Now we add up the big square and small rectangular squares values:

40[tex]in^2[/tex] + 48[tex]in^2[/tex] = 88[tex]in^2[/tex]

Therefore the answer is 88[tex]in^2[/tex]

I need help on this pls help me

Answers

Answer:

irrational numbers is in the red rectangle, rational numbers is outside both circles on the left, integers is in the purple circle, whole numbers is in the blue circle

false

true

true

true

Step-by-step explanation:

A baseball team won 20 games and lost 10 games. What percent of the games did the team win?
33One-third%
50%
66Two-thirds%
200%

Answers

Answer:

50%

Step-by-step explanation:

10/20 is equal to 1/2, 1/2 can be rewritten as .50 or 50%

Why is 210 divided by 30 the same as 21 tens divided by 3 tens

Answers

21 tens is equal to 210, and 3 tens is equal to 30.

Reason behind both the situations are the same are the place values of the digits.

What are the place values?

According to their position in a number, each digit has a different value in mathematics, which is called place value. From the unit's starting location, these positions begin.

Ones/units, tens, hundreds, thousands, ten thousands, and so on are all ways to describe the place value of a number's digits in sequence from right to left.

Each digit in a number has a place value, which is its worth. Each digit in a number has a unique value depending on where it sits in the number. The value of a digit depends on where it falls in the number; two comparable digits in the same number may have different values.

When 210 is written in the form of place value, this will be written as 21 tens and 30 will be written as 3 tens.

Therefore, the given statement has the same values and is correct.

Learn more about place values from here:

https://brainly.com/question/1677741

#SPJ2

(I'll be giving brainliest and extra points to who ever helps me!!)


Solve one and three fourths times two fourths.

A) fourteen sixteenths
B) fifteen sixteenths
C) seventeen sixteenths
D) eighteen sixteenths

Answers

Answer:

A.  fourteen sixteenths

Step-by-step explanation:

[tex]1\frac{3}{4} x \frac{2}{4}[/tex]

[tex]\frac{7}{4} x \frac{2}{4}[/tex]

[tex]\frac{14}{16}[/tex]

Hope I helped you out!

~PumpkinSpice1

♥☼☺

Answer:

A it didnt let me answer at first and it dose now

Step-by-step explanation:

What is the multiples of 46

Answers

Answer:

0, 46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552

Step-by-step explanation:

multiples up until 12

Answer:

46,92,138,184,230,276,322,368,414,460

Step-by-step explanation:

Please help me figure out the answer to this question and the processes well!

Answers

Plug the x values into the equation.
For -3 the answer is -11 because 3(-3)-2 = -11
For 1 the answer is 1 because 3(1)-2 = 1
For 5 the answer is 13 because 3(5)-2 = 13
So your points will be (-3,-11), (1,1), and (5,13)

70 72 76 90 what will go before 90​

Answers

Answer:

78  

Step-by-step explanation:

Bri goes to the movies and buys three items that together sum to $11.50. Two of the items she
bought cost $3 each. Write an equation to express how much money Bri spent at the movies.

Answers

Answer:

the answer is $5.5

Step-by-step explanation:

Whats The RiGhT answer giving brainliest

Answers

Answer:

D is correct because its the only graph that displays the first set of data correctly.

The answer to this is D. D is the only graph with the various points that is correctly placed on the chart.

Plz help Solve three and one half times one and two thirds


A) three and two sixths

B) four and two sixths

C) five and five sixths

D) six and five sixths

Answers

im pretty sure its b im sorry if i am wrong

Answer:

B

Step-by-step explanation:

Train A leaves a station traveling at 28 km/hr. Two hours later train B leaves the same
station traveling in the same direction at 84 km/hr. How many hours will it take train B to
catch up to train A?

Answers

it will take 1 hour to catch up to train a but if the question means from as soon as train a leaves, it is 3 hours.

The time taken by train B to cover the distance of 56 km when the train at the station is in 1 hour.

What is kinematics?

It is the study of the motion of a body without considering mass. And the reason behind them is neglected.

Train A leaves a station traveling at 28 km/hr.

Two hours later train B leaves the same station traveling in the same direction at 84 km/hr.

The distance traveled by the train A in two hours will be

[tex]\rm D_A=28 \times 2 = 56 km[/tex]

Then the distance between the trains when train B is at the station is 56 km.

Then the relative speed of the train will be

[tex]\rm V_{BA} =84 - 28 = 56 \ km/hr[/tex]

Then the time taken by train B to cover the distance of 56 km is in 1 hour.

More about the kinematics link is given below.

https://brainly.com/question/25638908

Alex bought a new aquarium. He is in the process of setting it up. The aquarium is in the shape of a right rectangular
prism and the dimensions, in inches, are 367 x 19 x 24. During the set-up, Alex fills the aquarium with 6,039
ins of water.
What percent of the volume of the aquarium is filled with water? Round your answer to the nearest whole percent.
Enter your answer in the space provided.

Answers

Answer:

4%

Step-by-step explanation:

Formula for volume of a right rectangular prism is;

V = lwh

Where;

l is length

w is width

h is height

We are given l = 367; w = 24; h = 19

Thus;

Volume is;

V_full = 367 × 24 × 19

V_full = 167352 in³

We are told that Alex filled the aquarium with 6039 in³ of water.

Thus, percentage of the aquarium filled with water is;

(6039/167352) × 100% = 3.61%

Approximating to nearest percent gives; 4%

Graph the line that contains the point (-3,1) with a slope of 2/3

Answers

Answer:

The graph of the line [tex]y=\frac{2}{3}x+3[/tex] that contains the point (-3,1) with a slope of 2/3 is attached below.

Step-by-step explanation:

We know that the slop-intercept form of the equation is

[tex]y=mx+b[/tex]

where m is the slope, and b is the y-intercept.

Given the slope = m = 2/3, and point (-3, 1)

[tex]1=\frac{2}{3}\left(-3\right)+b[/tex]

[tex]-\frac{2}{3}\cdot \:3+b=1[/tex]

[tex]-2+b=1[/tex]

[tex]b=3[/tex]

so the equation of line will be:

[tex]y=mx+b[/tex]

[tex]y=\frac{2}{3}x+3[/tex]

Also, the graph of the line [tex]y=\frac{2}{3}x+3[/tex] that contains the point (-3,1) with a slope of 2/3 is attached below.

A line with a slope of 1/2 passes through (-5,-2). Write the equation of the line in standard form.

Answers

5-4 //jzbbxbxbzbbsjd jsjdjcn ñandú

There are currently 73 million cars in a certain country, decreasing by 1.7% annually.
How many years will it take for this country to have 54 million cars? Round to the
nearest year.

Answers

Answer:

17.6 years

Step-by-step explanation:

There are currently 73 million cars in a certain country, decreasing by 1.7% annually.

How many years will it take for this country to have 54 million cars? Round to the

nearest year.

We use the formula

y = a(1 - r)^t

a = Initial amount = 73 million cars

y = Future amount = 54 million cars

r = decreasing rate = 1.7 % = 0.017

t = time is unknown

54,000,000 = 73,000,000(1 - 0.017)^t

Divide both sides by 73,000,000

54,000,000/73,000,000 = (0.983)^t

0.7397260274 = (0.983)^t

Take the logarithm of both sides

log 0.7397260274 = Log (0.983)^t

log 0.7397260274 =t log (0.983)

t = log 0.7397260274/log 0.983

t = -0.13092910029/-0.00744648216

t = 17.5826783005 years

Approximately = t = 17.6 years

Write the difference of two algebraic expressions modeled by the algebra tiles. Let $x$ be the variable. Then use the algebra tiles to simplify the expression. Two groups of algebra tiles. The second is subtracted from the first. The first group has two positive variables tiles and seven positive unit tiles. The second group has two positive variable tiles and four negative unit tiles.

Answers

Answer:

3

Step-by-step explanation:

Who cares? just copy down the answer.

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