At a certain restaurant, 35 percent of the customers order the daily special each day. Assume that each day the customers arrive randomly and order independently. Let the random variable X represent the number of orders placed until the first daily special is ordered. The distribution of X is geometric and has an expected value of approximately 2.86. Which of the following is the best interpretation of the expected value?

A. Each day, 3 customers will order the daily special.
B. Over many days, the average number of customers ordering the daily special is approximately 2.86.
C. Over many days, it takes about 2.86 orders, on average, to be placed until the first daily special is ordered.
D. For a random sample of the days, the average number of orders of the daily special will be 2.86.
E. Each day, the ratio of the number of orders of the daily special to the number of orders of other menu items is about 2.86 to 1.

Answers

Answer 1

Answer:

C. Over many days, it takes about 2.86 orders, on average, to be placed until the first daily special is ordered.

Step-by-step explanation:

Did it on college board

Answer 2

Option C. Over many days,  It takes about 2.86 orders, on average, to be placed until the first daily special is ordered.

What Is a Random Variable?

A random variable is a variable whose value is unknown or a function that assigns values to each of an experiment's outcomes. Random variables are often designated by letters and can be classified as discrete, which are variables that have specific values, or continuous, which are variables that can have any values within a continuous range.

Given here: The distribution of X is geometric and has an expected value of approximately 2.86. And  35 percent of the customers order the daily special each day. Thus clearly the correct and precise interpretation of the statement is  Over many days,  It takes about 2.86 orders, on average, to be placed until the first daily special is ordered.

Hence, Option C is the correct answer.

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Related Questions

An object's speed decreases by 5% for each minute that it is slowing down. Which of the
following is closest to the percent that its speed will decrease over half-an hour?

Answers

Answer: 79%

Step-by-step explanation:

min —> 30 mins because half an hour is 30 mins.

(1 - 0.5)^30 = .214638..

1 - .214638 = .78536

round that to the closest percent equals 79%

how to expand 2(x+7) ​

Answers

Answer:

(2x + 2 x 7)

Step-by-step explanation:

In a class election, 30 students voted for Emerald and 15 students voted for Beau. What percent of students voted for Beau?

Answers

Answer:

1/3

Step-by-step explanation:

The total amount of students is 45. 1/3 of 45 is 15

Answer:

About 33.3% of students voted for Beau.

The experimental probability of getting a 6 on a number cube is StartFraction 7 over 40 EndFraction. Which is true about the event’s experimental probability? The number 6 came up a total of 40 times. The number 6 came up 7 times out of a total of 40 trials. The number cube was rolled a total of 47 times. After 7 trials, the number 6 came up 40 times.

Answers

Answer:

The number 6 came up 7 times out of a total of 40 trials.

Step-by-step explanation:

took the test

The correct option is the number 6 came up 7 times out of a total of 40 trials.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Event:  getting a 6 on a number cube

P( getting a 6 on a number cube) = 7/40

So, to expand the meaning of given probability we have

The number 6 came up 7 times out of a total of 40 trials.

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Write the equation of the line that passes through the points (2,5) and (2, -6). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

X=2 is the answer definately

4.89 is this a rational or a irrational

Answers

Answer:

Rational because it isn't a repeating decimal

Step-by-step explanation:

Which situation could the expression −255 represent? A Each of 5 golfers has the same score after 9 holes. The total of their scores is -25. So, each golfer's score is -5.Each of 5 golfers has the same score after 9 holes. The total of their scores is -25. So, each golfer's score is -5. B A temperature increases 25°F over 5 hours. So the temperature increased by 5°F per hour.A temperature increases 25degreeF over 5 hours. So the temperature increased by 5degreeF per hour. C A football team gains 25 yards in one play. They lose 5 yards in the next play. In the two plays combined, the team gained 5 yards.A football team gains 25 yards in one play. They lose 5 yards in the next play. In the two plays combined, the team gained 5 yards. D Over 5 weeks, Alyson withdraws $25 per week from her checking account. Altogether, she withdraws $125.

Answers

Answer and explanation:

Not sure if the question is complete or valid but I will explain each option:

Let's assume the question asks which of the options would provide a negative result of -25( as no option evaluates to -255)

A. There would be a negative result here since all golfers have a negative score of -5 after 9 holes, and therefore a total score of -25 for all five golfers

B. Temperature increases by 25 degrees after 5 hours hence 5 degrees increase for every 1 hour. This would obviously give a positive result.

C. A football team gains 25 yards in the first play and loses 5 yards in the second but has a result of 5 yards gained in total. Hence there was a penalty of losing 20 yards for a loss of 5 yards= 25 yards- 20 yards= 5yards

D. Alyson withdraws $25 every week for 5 weeks, therefore she withdraws $125 in 5 weeks. This would be a negative result of -$125.

For f(x) = -3x + 19. what is the value of x for which f(x) = 4?

X=-5

X = -1

X=5

X=6​

Answers

x= 5

f(x) = -3(5) + 19
f(x)= -15 + 19
f(x) = 4

Can someone explain factoring expressions to me

Answers

Answer:

Factoring: Finding what to multiply together to get an expression. It is like "splitting" an expression into a multiplication of simpler expressions.

Hope it helps. have a wonderful thanksgiving day! :)

5,-15,35,55....
What is the common difference

Answers

Answer:

The common difference is -20

Step-by-step explanation:

Simply subtract 5 from -15

-15-5 = -20

the common difference is -20! Person above is correct

please help me find the answer

Answers

Answer: x=2

Step-by-step explanation:

What you do is you plug the y equation on top and you substitute it in for the y on the equation below. You have -3x=-2(-5x+8)-10

Adele is 5 years older than Timothy. In three years, Timothy will be 2/3 of Adele’s age. What is Adele’s current age?

Answers

Answer:

12 years old

Step-by-step explanation:

Answer:

Step-by-step explanation:

30% × 750 =
(30 ÷ 100) × 750 =
(30 × 750) ÷ 100 =
22,500 ÷ 100 =
225;​

Answers

Answer:

1.250

2.225

3.225

4.225

PLZ HELP ME NOW!!!!! I WILL GIVE BRAINLIEST!!!
combine like terms
3a + 7 - 11 - 9a

Answers

Answer:

-6a - 3

Step-by-step explanation:

hope this helps

Answer:

11a -18

Step-by-step explanation:

Inverse 9A make it to -9A take it to the other side and inverse +7 to -7 and take it to below -11 so -11 -7 is -18

find the line of reflection if the image of (-5, -2) is each of the following

a. (5, -2) |_____|

b. (2, 5) |_____|

c. (-5, 0) |_____|

d. (1, -2) |_____|

Answers

Answer:

A: -5, 2

B: -2, -5

C: 5, 0

D -1, 2

Hope this helps!

Harper simplemente encendió una vela nueva y luego la dejó arder hasta la nada. La longitud de la vela que permanece sin quemar, en pulgadas, se puede modelar mediante la ecuación L = 15-1.5t, L = 15−1.5t, donde tt representa el número de horas desde que se encendió la vela. ¿Cuál es la pendiente de la ecuación y cuál es su interpretación en el contexto del problema?

Answers

Answer:

La pendiente de la ecuación es -1.5 y su interpretación en el contexto del problema es que en este caso este valor indica que la longitud L de la vela luego de t horas desde que se encendió la decrece en 1.5 unidades por cada hora.

Step-by-step explanation:

La función lineal se define por la ecuación

f(x) = mx + b

o

y = mx + b

donde m es la pendiente de la recta y b es la ordenada al origen.

La gráfica de una función lineal es siempre una recta.

Como se mencionó, la m es la pendiente de la recta. La pendiente es la inclinación con respecto al eje x, que es el eje de abscisas.

La pendiente m significa que si aumentamos la x en una unidad, la y aumenta en m unidades. Si m es positiva (m > 0), entonces la función es creciente. En cambio, si la m es negativa (m < 0), entonces la función es decreciente.

En este caso, siendo L=1.5 - 1.5t y comparando con la expresión y=mx + b, podes observar que el valor de la pendiente m es -1.5. Como m es un número negativo, entonces se trata de una función decreciente. En este caso este valor de pendiente indica entonces que la longitud L de la vela luego de t horas desde que se encendió la decrece en 1.5 unidades por cada hora.

La pendiente de la ecuación es -1.5 y su interpretación en el contexto del problema es que en este caso este valor indica que la longitud L de la vela luego de t horas desde que se encendió la decrece en 1.5 unidades por cada hora.

1) The ratio 20 minutes to 1hour can be written 1:n. What is the value of n.

2) The scale on a map is 1:25000 how many kilometres on the ground is represented by 9 cm on the map?.

Answers

Answer:

n=3 x=225,000km

Step-by-step explanation:

1hour=60mins

20:60

1:3

n=3

1/25000=9/x

x=9×25000

x=225,000km

hope it helps:)

In the figure below, m angle WXZ=113°, and m angle2 is 3° more then m angle1 Find m angle1

Answers

Answer:

m∠1 = 55° ; m∠2 = 58°

Step-by-step explanation:

Let m∠1 = x° , then m∠2 = x° + 3°

m∠1 + m∠2 = 113°

x° + x° + 3° = 113°

2x + 3 = 113

2x = 110

x = 55°

m∠1 = 55° and m∠2 = 58°

The value of m∠[tex]1[/tex] is [tex]55[/tex]° and m∠[tex]2[/tex] is [tex]58[/tex]°

In the given figure m∠WXZ = [tex]113[/tex]° and m∠[tex]2[/tex] is [tex]3[/tex]° more than  m∠[tex]1[/tex].

What is angle?

An angle is formed when two rays are joined together at a common point.

Now,

Let  m∠[tex]1[/tex] = x° and m∠[tex]2[/tex] = x° + 3°

According to given figure;

m∠[tex]1[/tex] +  m∠[tex]2[/tex] = 113°

x° + x° + 3° = 113°

2x° + 3° = 113°

2x° = 110°

x° = 55°

Hence, the value of  m∠[tex]1[/tex] = x° = 55° and m∠[tex]2[/tex] = 55° + 3° = 58°

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Which has the lowest minimum temperature between -6, 4, -7, -1, 5, -3

Answers

Answer:

-7

Step-by-step explanation:

1) find the missing side of each triangle
A) 5 km
C) 10 km
B) 13 km
D) 12 km

Answers

Answer:

c

S1tep-by-step explanation:

8x8=64

6x6=36

64+36=100

10x10=100  

x=10

You can use Pythagorean theorem. 8^2+6^2=c^2
Once you add 8^2 +6^2 you get 100=c^2
To get C on its own you need to get rid of the square so you do to opposite of squaring which is square rooting. The the square root of 100 is 10

Write an equation in point-slope form and slope-intercept form for each line.
the line passes through (1, -1) and (2, 0)

Answers

Answer:

                                                                                           

Step-by-step explanation:

Answer:

I think its the one w -1= -1

Step-by-step explanation:

becuase 2 minus 1 is -1 nd -1 minus 0 is -1 i could be wrong

Which statement is true? Select all that apply.

Answers

it’s b and c and i believe a

The true statements are:

1) The relationship is proportional

2) y = -3x is equation of the line.

3) The slope is negative.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

A graph of the line is given.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

And line passes through the points (4, -12) and (6, -18).

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = -3

The slope is negative.

Then the equation of the line is,

y + 12 = -3(x -4)

y + 12 = -3x + 12

y = -3x

This equation shows the proportional relationship.

Therefore, all the required values are given above.

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i need help on this please

Answers

Answer:

1 solution

Step-by-step explanation:

If you solve for the system of equations you get (0,1) or x=0; y=1. This leads us to select B: One Solution as our answer choice.

If you can please give my answer the brainliest that would be much appreciated. Thanks!

Find f. Write your answer as a whole number or a decimal. DO NOT ROUND

Answers

Answer:

f = 8 feet

Step-by-step explanation:

In Δ EBC

∵ DF ⊥ BE

∵ CB ⊥ BE

DF // CB

∵ D is the mid-point of CE

∵ DF // CB

F is the mid-point of EB

∵ DF joining the mid-points of EB and EC

∴ DF = [tex]\frac{1}{2}[/tex] CB

∵ CB = f and DF = 4 ft

∴ 4 = [tex]\frac{1}{2}[/tex] f

→ Multiply both sides by 2

8 = f

The value of f is 8 ft

X-7
4x + 1
ngle.
6x + 2

Find the perimeter

Answers

Answer:

ANSWER

GIVEN:

OA= 3x-1 , OC= 5x-3, OD= 6x-5 , BO = 2x+1

AO/OC = BO/OD

[The diagonals of a Trapezium divide each other proportionally]

(3x-1)/(5x-3) =( 2x+1)/(6x-5)

(3x-1) (6x-5) = (5x-3) ( 2x+1)

3x(6x-5) -1 (6x-5) = 2x(5x-3)+1(5x-3)

18x² -15x -6x +5 = 10x² -6x +5x -3

18x² -21x +5 = 10x² - x -3

18x² -10x² -21x + x +5+3 =0

8x² - 20x +8= 0

4(2x² -5x +2) = 0

2x² -5x +2 = 0

2x² -4x -x +2= 0

[By factorization]

2x(x-2) -1(x-2)= 0

(2x-1) (x-2) = 0

(2x-1) = 0 or (x-2) = 0

x = ½ or x = 2

If we put x= ½ in OD , The value of OD is negative.

Hence, the value of is x = 2.

Step-by-step explanation:

1 =29 and 2=44...............

Help Asap will mark brainliest! Prove polygon ABCDEF and polygon A′B′C′D′E′F′ are congruent or not congruent.

Answers

Answer:

They are congruent im just not sure how to prove it... maybe by showing the transformations that got it to that point?

Step-by-step explanation:

sorry ):

Answer:

They are congruent because they are the same size and shape.

Step-by-step explanation:

what is the answer for this -4(x-1)+6x=2(17-x)

Answers

Answer:

15/2 or 7.5

Step-by-step explanation:

-4(x-1)+6x=2(17-x) PEDMAS

-4x+4+6x=34-2x combine terms

2x+4=34-2x subtract 4 and add 2x

4x=30  divide by 4

x=15/2

Answer:

Step-by-step explanation:

-4x + 4 + 6x = 34 - 2x

Solving like terms

2x + 4 = 34 - 2x

Bringing like terms on one side

2x + 2x = 34 - 4

4x = 30

x = 30/4

x = 15/2

b: 8/5 + 61/2=
Please help me solve

Answers

Answer:

32.1

Step-by-step explanation:

Please help me with this

Answers

X is equal to 4. :)

22. In the diagram below WXZ is a right angle. If the measure of WXV is 11 more than there times the measure of WXY and the measure of YXV = 139, find the measure of YXZ

Answers

Answer:

9(331)-123=1

Step-by-step explanation:

2. In the diagram below WXZ is a right angle. If the measure of WXV is 11 more than there times the measure of WXY and the measure of YXV = 139, find the measure of YXZ

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