The manufacturer of a low-calorie dairy drink wishes to compare the taste appeal of a new formula (formula B) with that of the standard formula (formula A). Each of four judges is given three glasses in random order, two containing formula A and the other containing formula B. Each judge is asked to state which glass he or she most enjoyed. Suppose that the two formulas are equally attractive. Let Y be the number of judges stating a preference for the new formula. a Find the probability function for Y . b What is the probability that at least three of the four judges state a preference for the new formula

Answers

Answer 1

Answer:

a) [tex]P_y = \frac{4}{y} * \frac{1}{3}^y * \frac{2}{3}^{4-y}[/tex]

b) 0.033

Step-by-step explanation:

Let Y represents the number of judges preferring a formula.

There are total four judges and each judge can select either A or B

n = 4, p = 1/3

a) The probability function is

[tex]P_y = \frac{4}{y} * \frac{1}{3}^y * \frac{2}{3}^{4-y}[/tex]

b)

Substituting the value of y -3 in above equation, we get -

[tex]P_3 = \frac{4}{3} * \frac{1}{3}^3 * \frac{2}{3}^{4-3}\\= \frac{4}{3} * 0.037 * 0.67\\= 0.033[/tex]


Related Questions

Someone please help me

Answers

Answer:

6) K is less than negative seven.

7) m is less than or equal to two and three fifths.

Step-by-step explanation:

6) K is less than negative 7
8) m is less than or equal to negative two and three over five

hi, if your looking for extra points (50+) and brainiest here is ur chance, answer this question correctly plz

Answers

Answer:

The y-intercept is -4.

Explanation:

The y-intercept is between -2 and -4 so its actually on -3

Answer:

The y-intercept is -4.  This one is false.

Step-by-step explanation:

The slope is positive.

The point (8, 2) is on the line.

The y-intercept is NOT -4. The y-intercept is -3.

The line does not go through the second quadrant.

Can someone please help meeeee

Answers

Answer:

53

Step-by-step explanation:

Complementary angles are summed up to be 90 degrees. If we already know that one if the angles is 37, all we need to do is subtract 37 from 90.

90-37 = 53

Hope this helps.

x +4 = 12; x = 16

Please help

Answers

Answer:

x=8 x=16

Step-by-step explanation:

Given function:

x+4=12x=16

Thinks:

12=4+xx would be equal to 16

Rewrite as:

x=8 since 8+4=12x=16=16

Thereform, x=8 and x=16.

Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ABC=LMN?

A. ASA
B. LL
C. SAS
D. LA
E. HL
F. AAS

Answers

Answer:

C is the answer according to me

The front of a tent is 8 feet long and 5 feet tall. What is area of the front part of the tent?

Answers

multiply the two parts
8x5=40 feet
It’ll be 40 because area is L x W so 5 x 8

two numbers are in the ratio 3 is to 5 what is the ratio between the squares

Answers

The numbers is 9:15

a) Expand and simplify.
3(x - 2) - 4(x - 5)
7​

Answers

Answer:

x=7

Step-by-step explanation:

3(x - 2) - 4(x - 5)=​7​

3x+−6+−4x+20=7

(3x+−4x)+(−6+20)=7(Combine Like Terms)

−x+14=7

−x+14=7

Step 2: Subtract 14 from both sides.

−x+14−14=7−14

−x=−7

Step 3: Divide both sides by -1.

−x

−1

=

−7

−1

Which of the following equations have no solutions? Select all that apply:
A) 14r + 23 = 14r -23
B) -23r - 14 = 14r -23
C) 14r - 23 = 14r -23
D) -14r + 23 = 14r - 23​

Answers

A) Yes: they would cancel each other out
B) No: r = 9/37
C) Yes: they would cancel each other out
D) No: r = 23/9
The answer is
A.) 14r + 23 = 14r - 23

C.) 14r - 23 = 14r - 23

2. Solve: 10 - 5m = 25
7
3
о
-3
Please help

Answers

Answer:

-3

Step-by-step explanation:

subtract 10 to the 25 so that cancels out the 10, you are left with -5m=15, then you divide the -5m by -5 to cancel it out on both sides. that leaves you with m by itself and once you do the division of 15 by -5 the result is -3

A circular pond has a radius of 6m. Calculate the circumference of the pond. Give your answer rounded to the nearest tenth.

Answers

Answer:

37.7

Step-by-step explanation:

C= 2(3.14)6

C = 6.28(6)

C= 37.68

C= 37.7

Who knows this answer

Answers

i think it would be true

Pls help due tomorrow if correct ill give brailiest

Answers

Answer:

Add 3 each term inside the parentheses, then use inverse operations to solve.

Step-by-step explanation:

A right rectangular prism has a length of 8 centimeters, a width of 3 centimeters, and a height of 4 centimeters.

What is the surface area of the prism?

____cm2

a) 96

b) 104

c) 136​

Answers

Answer:

I believe the answer is C. 136 cm2

I think the answer is . C. 136 cm

What is the answer to this equation 3 1/10 -2/3

Answers

Answer:

The answer is 73/30

Step-by-step explanation:

Answer:

73/30 or2.43

Step-by-step explanation:

Hi guys, how to calculate this in system?

{2a+3b=14
{5b+4a=20

Thanks,

Answers

Step-by-step explanation:

there it is

and if u need more help tell me

dy/dx=2xy/x²+y² solve​

Answers

Answer:

[tex]y=\frac{-1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}\ or \ \frac{1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}[/tex]

Step-by-step explanation:

As it is first order nonlinear ordinary differential equation

Let y(x) = x v(x)

2xy/(x²+y²)=2v/(v^2+1)

dy=xdv+vdx

dy/dx=d(dv/dx)+v

x(dv/dx)+v=(2v)/(v^2+1)

dv/dx=[(2v)/(v^2+1)-v]/x

[tex]\frac{dv}{dx}=\frac{-(v^2-1)v}{x(v^2+1)}[/tex]

[tex]\frac{v^2+1}{(v^2-1)v}dv=\frac{-1}{x}dx[/tex]

∫[tex]\frac{v^2+1}{(v^2-1)v}dv[/tex] = ∫[tex]\frac{-1}{x}dx[/tex]

u=v^2

du=2vdv

Left hand side:

∫[tex]\frac{v^2+1}{v(v^2-1)}dv[/tex]

=∫[tex]\frac{u+1}{2u(u-1)}du[/tex]

=[tex]\frac{1}{2}[/tex]∫[tex](\frac{2}{u-1} -\frac{1}{u} )du[/tex]

=[tex]ln(u-1)-\frac{ln(u)}{2} +c[/tex]

=[tex]ln(v^2-1)-\frac{ln(v^2)}{2}+c[/tex]

Right hand side:

[tex]=-ln(x)[/tex]

Solve for v:

[tex]v=-\frac{-c_{1}+\sqrt{c_{2}+4x^2 } }{2x} \ or \ \frac{-c_{1}+\sqrt{c_{2}+4x^2 } }{2x}\\[/tex]

[tex]y=\frac{-1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}\ or \ \frac{1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}[/tex]

PLEASE HELP!
Dean owes $14 on his credit card. He subtract five dollars from his credit card debt by making a payment. Dean
writes this subtraction equation to represent what he owes now. how much money does Dean owe now?
-14 - (-5)=?

answer options:
Dean owes $19
Dean owes $9
Dean has a positive $9
Dean has a positive $19

Answers

dean now owes $9 because -14 - (-5) is the same as -14+5, or 5 - 14

esdhvh,dsa,jgvgda,jkv,dkhfdshtrjea

Can someone help meee

Answers

Angle B is also 54° because they are vertically opposite angles.

Now, you do 54+54=108 and then 360-108=252. (The angles should always add up to 360, so remember that) Because angles C and D are also vertically corresponding angles, they add up to 252, and each measure 126°

What is the value of y in the following equation? -10y + 4(3y – 8) = -64

Answers

Answer:

y=-16

Step-by-step explanation:

Answer:

y = -16

Step-by-step explanation:

−10y+4(3y−8)=−64

Step 1: Simplify both sides of the equation.

−10y+4(3y−8)=−64

−10y+(4)(3y)+(4)(−8)=−64(Distribute)

−10y+12y+−32=−64

(−10y+12y)+(−32)=−64(Combine Like Terms)

2y+−32=−64

2y−32=−64

Step 2: Add 32 to both sides.

2y−32+32=−64+32

2y=−32

Step 3: Divide both sides by 2.

2y

2

=

−32

2

y=−16

Answer:

y=−16

1 litre is equal to how many decalitre​

Answers

1 liter = 0.1 decaliter

Divide the volume value by 10

Two trains on opposite tracks leave the same station at the same time. one train travels at an average speed of 80 km/hr and the other travels at an average speed of 70 km/hr. how long after they leave the station will they be 50 km apart?

Answers

I think the answer is 4 more hours or 5 more

Add and Subtract Linear Expressions


1. Subtract m + 8 ​​from​ 5m + 11.

Enter your answer in the box.


2. Add the two expressions.

−4.2x+3 and 2.5x−6

Enter your answer in the box.

Answers

Answer:

1. 4m + 3

2. -1.7x - 3

2x + 4 < 10 I really need help on this

Answers

Answer:

x < 3

Step-by-step explanation:

Answer:

x < 3

Step-by-step explanation:

treat the sign as if it was an equal sign

then you would solve for x

2x < 6

x < 3

however, there are some cases where the sign would switch directions, you can search up "inequalities algebra" to see more examples

Which sum represents the partial fraction decomposition of 8x^ 4 + 3x^3- 115x^2- 39x+200/ 3x (x^2-10)^2

Answers

Answer:It's the last option again. You have 1 linear factor (3x) and 2 copies of a quadratic factor (x² + 10), and the partial fractions with the quadratic factor need to have a linear polynomial in the numerator.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

edge 2021

What is the answer for this 5c + 9 -2c -7

Answers

Step-by-step explanation:

Given

5c + 9 - 2c - 7

= 3c + 2

Hope it will help :)❤

3 (4x - 2) - 5x = 6 - 7 (-x -2)

Answers

Answer:

0=26

Step-by-step explanation:

Distribute

3(4−2)−5=6−7(−−2)

12−6−5=6-7(-x−2)

Combine like terms

12−6−5=6−7(−−2)

7−6=6−7(−−2)

Distribute

7−6=6−7(−−2)

7−6=6+7x+14

Answer

0=26

The solution to the equation 3 (4x - 2) - 5x = 6 - 7 (-x -2) does not exist

How to determine the solution to the equation

From the question, we have the following parameters that can be used in our computation:

3 (4x - 2) - 5x = 6 - 7 (-x -2)

Open the brackets

So, we have

12x - 6 - 5x = 6 + 7x + 14

Evaluate the like terms

So, we have the following representation

7x - 6 = 7x + 20

Next, we have

7x - 7x = 20 + 6

So, we have

0 = 26

This is false

Hence, the solution is no solution

Read more about equation at

https://brainly.com/question/32583193

#SPJ6

Peggy is p years old. ​ ​Maggie is 1 year less than 1/4 of Peggy's age. ​ ​What is Maggie's age in terms of p?

Answers

Answer:

1/2m+100

Step-by-step explanation:

What is the next term in the following sequence?

54, -18, 6, ...

-2
3
2
-3

Answers

-2
Explanation:
You divide by -3each time
54/-3 = -18
-18/-3 = 6
6/-3 = -2

L(-5, -1)
L'd
M(-3, 1). -
M'(
N(-1,8)
Nd

Answers

Answer:

huh

Step-by-step explanation:

Other Questions
how are you? 11. What was Archimedes claim to fame?www Help i don't understand it pls ill give brainleist to correct answer Q1.) Morgan buys 3 pairs of socks for $1.29 each and a pair of shoes for $29.95. The sales tax is 8 %.What is the total amount she spends including tax? What is an example of rhyme scheme in the road not taken by Robert frost Explain what determines the shape of a mineral crystal? A group of individuals of the same species living together is called a: Rikki-Tikki-Tavi was......... mongoose.a) ab) anc)any Solve for 3x^2-10x+8=0(SHOW YOUR WORK)QUICKLY hii they asked this again but in cm Prepare journal entries to record the following transactions and events that occurred in Marilyn County during calendar year 2019:1. The legislature adopted the following budget: Estimated revenues and other sources: Property taxes $1,740,000 Sales taxes 1,000,000 Use of fund balance 10,000 Total $2,750,000 Appropriations: General governmentSalaries $ 420,000 General governmentsupplies 30,000 Parks departmentsalaries 2,000,000 Parks departmentplants and supplies 300,000 Total $2,750,0002. The Parks department placed PO 2019-1 for shrubbery in the amount of $52,000 and PO 2019-2 for gardening supplies in the amount of $11,000. The orders were charged to the appropriation for Parks departmentplants and supplies.3. The supplier delivered the shrubbery ordered on PO 2019-1; however, the supplier said he could not deliver some of the shrubs because he no longer carried them. The invoice for $49,000 was approved and forwarded to the comptrollers office for payment; the rest of the order ($3,000) was cancelled.4. The supplier delivered the gardening supplies ordered on PO 2019-2. She sent an invoice for $11,200 because some of the items were of a higher quality than ordered. The Parks department accepted the entire delivery and forwarded the invoice for payment.5. Based on a mid-year review of economy, the finance director concluded that sales tax revenues would be less than the original estimate. As a result, the legislature amended the budget, reducing the sales tax estimate by $50,000 and the Parks departmentplants and supplies appropriation by $35,000 Help meeeeeeeewee plsssssss 3EscribeWrite the plural form of each word.1. techo2. ventana3. suelo4. escalera5. paredI need help plz Heather drew the scaled drawing of a train car shown below. She used the scale of 2 cm = 5 ft to complete thedrawing.Train Car10.8 cmWhat is the actual length of the train car?A.21.6 ftB.27 ftC.43.2 ftD54 ft What, in general, can you infer about the energy per square meter at the equator? This week, Leigh spent a total of$24.47 on groceries. Her total forlast week was $30.16. Solve theequation $30.16 $24.47 = yto find out how much moremoney Leigh spent last weekthan this week. Ken, a copywriter at an advertising agency, is creating an advertisement for a restaurant.Which line in the advertisement uses ethos to persuade the reader?All menu items are available at a 15 percent discount. Treat yourself! The aromas of Asia will tantalize your senses when you dine with us. Well-known food critic Victor Spoon gave our buffet a five-star rating. This weekend, enjoy a delicious brunch at our restaurant. Arrive early! What is Anti-Slavery? 3) Contextualization: How do you think the Jim Crow Era he was living in impacted his ideas? toy store is having a sale on puzzles. For each puzzle Naomi buysshe gets 75% off a second puzzle. The original price of a puzzle is $16.60.How much would 4 puzzles cost? *