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

Make a sketch of a fourth degree polynomial function with two complex roots and two real roots​

Answers

I cannot really graph it but I will try my best to explain.

When you have a coordinate plane draw from right to left, up to down.

Now starting from righthand top corner, draw a smooth curve just like how you will draw a quadratic equation, through the x axis then curve back making the graph touch the axis at 2 points. That's the 2 real roots

Now make another curve down but this time not touching the x axis and then curving back up to the top left corner, this meant the 2 complex roots.

This is not the only way to do it, as long as one complete curve is not touching the x axis and another complete curve, weather as a whole or combined is touching the x axis at 2 points, it has 2 real and complex roots.

Ashley has a points card for a movie theater.
• She receives 25 rewards points just for signing up.
• She earns 2.5 points for each visit to the movie theater.
• She needs 45 points for a free movie ticket.
How many visits must Ashley make to earn a free movie ticket?

Answers

Answer:

8

Step-by-step explanation:

45 points for a free movie - 25 points = 20 remaining points needed

20 / 2.5 = 8

She would need 8 visits to earn a free movie ticket.

Answer:

8

Step-by-step explanation:

25+2.5x=45

subtract 25 from each side

2.5x=20

divide both sides by 2.5

x=8

Can someone please help I really need this to be correct.

Answers

I think it’s 22 or 23...I’m so sorry if it’s wrong :/

1. Kenny is drawing the outside lines
on a sports field that is 92 feet by
124 feet. What is the total length of
the line he will draw to surround the
field?

Answers

( 124 x 2 ) + ( 92 x 2 ) = 432

The parking garage has 9 rows with 10 parking space in each row . There are 8 empty space . How many space are filled.

Answers

Answer:

82 .

Step-by-step explanation:

9x 10 = 90 then 90-8 = 82 that how many spaces are filled .

13 The Lozano's chartered a boat over the holiday
weekend. The cost for the day was $350 plus the
6.5% sales tax. They also decided to tip their
guide 25% of the original cost of the boat rental.
What is the total amount they paid?

Answers

Answer:

$460.25

Step-by-step explanation:

350 + .065(350) + .25(350)

= 350 + 22.75 + 87.5

$460.25

The first week of January it
snowed 12 inches. This week
it snowed 16 inches. How
many inches has it snowed in
all?

Answers

Answer:

28 inches

Step-by-step explanation:

the answer is 28 inches

12+16= 28

Number of snow snowed in January = 12 inches

Number of snow snowed this week = 16 inches

Number of snow snowed at all = 12+16

= 28 inches

hence it snowed 28 inches at all


Please help solve this!

Answers


By dropping a perpendicular from the top of the isosceles triangle to the base and using the Pythagorean Theorem we quickly determine that the height of the triangle is 4.

Therefore the area of the isosceles triangle is

6•4/2=12

However, we can split the isosceles triangle into three separate triangles indicated by the red lines in the diagram below. Because the radius always meets a tangent at a right angle the area of each triangle will be the length of the side multiplied by the radius of the circle. So the total area of the isosceles triangle is given by

6r/2+2•5r/2=8r=12
8r=12
r=12/8
r=3/2


How many digits will be in the quotient?
39) 4,641
1 digit
3 digits
2 digits
4 digits

Answers

Hopes this helps:

Answer: 4 digits

What fraction, in hundredths, is equivalent to 1/10

Answers

Answer:

0.01

Step-by-step explanation:

One-tenth equals 0.1 and one-hundredth equals 0.01, which means that hundredth equals 10 hundredths.

Answer:

Step-by-step explanation:

10/100

The sum of 25 and h is divided by f cubed.​

Answers

the answer is (25+_h) / f3

John sells apples for $5 per bunch and watermelons for $3 a piece. He made $100 today and sold 10 watermelons. How many bunches of apples did he sell?

Answers

Answer:

14

Step-by-step explanation:

3*10=30

5*14=70

30+70=100!!!  

Answer:

he sold 14 apples

Step-by-step explanation:

multiply 10 (watermelon) and 3 (the cost) which is 30

now subtract 30 from 100 which is 70

last do 5 (the cost of apple bunch) by 70 to find the total number of bunches he sold which is 14

O is:
rational
irrational

Answers

There’s no picture, please post one

What is the answer ?

Answers

Answer:

20x + -10xy

Step-by-step explanation:

10x · 2 ⇒ 20x

10x · -y ⇒ -10xy

Therefore, it is 20x - 10xy.

Answer:

Check pdf

Step-by-step explanation:

A parallogram is ______________ a rectangle.

a
sometimes
b
always
c
never

Answers

Answer:

sometimes a square could be a parallelogram too and a rhombus and a normal parallelogram

Step-by-step explanation:

it has two parallel pairs

Can someone please help me ??

Answers

Answer:

3?

Step-by-step explanation:

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Answers

Answer:

Yes

Step-by-step explanation:

So we substitute the point given x=-5 and y = -3 to see if this solves both equations at the same time so

3(-5) - 9(-3) = 12 ->  -15+27 = 12 -> 12 = 12 [this one works]

8(-5) - 14 (-3) = 2 -> -40 + 42 = 2 -> 2=2 [this one works also]

Since (-5,-3) is a solution to both equations, then this is a solution to this system

Answer: Yes

Step-by-step explanation:

Here

x = -5

y = -3

3x - 9y = 12

Here if you substitute x and y,

3 * (-5) - 9 * (-3)

(-15) - (-27)

=12

8x - 14y = 2

8 * (-5) - 14 * (-3)

(-40) - (-42)

= 2

Please help!! due today

Answers

Answer:

5f + 6g + 12

Step-by-step explanation:

10f - 5f is 5f, you would keep 6g as it is because there are no other numbers to add to it, and 8 + 4 is 12. Hope this helps!! :)

Mr. Ramone brought home 1/2 of an apple pie from work. He wants to share the apple pie equally among six friends. What is the amount of pie that each six people will receive.

Answers

Answer:

0.08

Step-by-step explanation:

The director of a customer service center wants to estimate the mean number of customer calls the center handles each day, so he randomly samples 29 different days and records the number of calls each day. The sample yields a mean of 279.4 calls with a standard deviation of 25.1 calls per day. He can be 99% confident that the mean number of calls per day is between 266.5 and ________. (Round your answer to 1 decimal place.)

Answers

Answer:

He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.

Step-by-step explanation:

Confidence interval:

A confidence interval is symmetric, which means that the difference between the sample mean and the lower bound is the same as the difference between the upper bound and the sample mean.

In this question:

Sample mean: 279.4 calls

Lower bound: 266.5 calls

Upper bound: x calls

Due to the symmetry of the confidence interval:

[tex]x - 279.4 = 279.4 - 266.5[/tex]

[tex]x = 12.9 + 279.4[/tex]

[tex]x = 292.3[/tex]

So

He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.

PLEASE ANSWER THIS QUESTION
Show that 4x – 7 is equivalent to 4(x - 1) – 3 when x = 3.​

Answers

Answer:

4(3) - 7 = 4(3 - 1) - 3

12 - 7 = 4(2) - 3

5 = 8 - 3

= 5

They are equivalent because when they are both simplified they have the same answer 5

3
Se registró el número de puntos que hizo mejor jugador del equipo Los Cimarrones en cada partido
de la pasada temporada de baloncesto. Los resultados fueron
15 12 18
18 22 23 24 18 22 2
12 14 28 11
14 17 26
14 20
Halle la moda, media y mediana, no olviden ordenar de menor a mayor​

Answers

The second model is it

A square is inscribed in a circle as shown. If the side length of the square is 16 feet, calculate the area of the shaded region to the nearest tenth.

Answers

Answer:

probably 145.15ft^2 but who really knows good luck

Step-by-step explanation:

we're gonna have to find the area of the square and circle and then subtract the square area to see the remaining shaded area's value. if the square has side of length 16 then we know it's area is 16ftx16ft=256ft^2. Now the area of the circle requires us to know its radius. we see the diagonal dashed line travels the diameter of the circle. you can use pythagoras theorem to find its length so sqrt(16^2+16^2)=22.63ft. but this is diameter and we want radius so 22.63/2=11.3ft. the formula for the area of a circle is pi*r^2 so pi*11.3^2=401.15ft^2. now we can say 401.15-256=145.15ft^2

HELP PLEASE PLEASE HELP, also show work!

Answers

Answer:

1 6 3b 0ny 5i bhk

Step-by-step explanation:

Find the value of x (supplementary angle) please show work I will mark u brainlist

Answers

x/5+1=180-134
x/5=45
x=225

A restaurant is offering 15 percent off beverages. The check is $90.00 with the beverage total being $15.00. What is the check total after the discount ?
A 77.75
B 76.50
C.75.00
D.87.75

Answers

B is the answer to your question

b because 90

                  15

                  15

               -_____

                  76.50

Multiplicacion de 3 Dube.com Dube
Bethecyda Santago
Calcula cada producion
930 597 129 493
129 493 937​

Answers

Answer:

please brailiest :)

yan ang lahat ng answer good luck

What is another name for angle 1? 1.∠JNL 2. ∠N 3. ∠MNK 4.∠NLJ

Answers

Answer:

1. <JNL

Step-by-step explanation:

Point N is the vertex of angle 1. Therefore, we can give <1 another name by using 3 letters which includes the letter of vertex point in the middle, and two other letters of the two rays that meets at the vertex point.

Thus, JN and LN meets at point N. Therefore angle 1 can be named as:

<JNL

3x/5 - 2 = x + 1/3
Solve the equation above for x.

Answers

The answer is x=-35/6

what is a salesperson Commission on a $600 sale if the commission rate is 30% ​

Answers

Answer:

180

Step-by-step explanation:

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