At a coffee shop, the first 100 customers'
orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a medium given that he or she ordered a cold drink

At A Coffee Shop, The First 100 Customers'orders Were As Follows.SmallMediumLargeHot54822Cold8125What

Answers

Answer 1

Answer:

12%

Step-by-step explanation:

P(cold, med) = 25/100 x 12/25 = 12/100 or 12%

Answer 2

The probability that a customer ordered a small given that he or she ordered a cold drink is, 32%

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Since, The probability is represented as:

P(Small | Cold)

This is calculated using:

P(Small | Cold) = n(Small and Cold)/n(Cold)

Using the data on the given table, we have:

P(Small | Cold) = 8/(8 + 12 + 5)

Evaluate

P(Small | Cold) = 0.32

Express as percentage

P(Small | Cold) = 32%

Hence, the probability that a customer ordered a small given that he or she ordered a cold drink is 32%

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Related Questions

URGENT PLEASE HELP!!

What is the equation of the linear function?
A. y = 1/2x + 3 B. y = -1/2x + 6 C. y = 2x + 3 D. y = -1/2x + 3

Answers

Answer:

y = -1/2x + 3

Step-by-step explanation:

(6,0) is on the linear function, 0= -1/2 × 6 + 3

The graphs below have the same shape. What is the equation of the blue
graph?

Answers

Answer:

G(x) = (x^2 +2)

Step-by-step explanation:

The graph moved to the left 2 units, therefor that is the equation :)

The equation of the blue graph will be G(x) = (x² +2).

What is a qudratic function?

In mathematics, a quadratic polynomial is a polynomial of degree two in one or more variables. A quadratic function is a polynomial function defined by a quadratic polynomial.

A parabola is the shape of a quadratic function's graph. The "width" or "steepness" of a parabola can vary and it can expand upward or downward.

The given equation of the red graph is,

F(x) = x²

The graph moved to the left 2 units, hence the equation can  be written as,

G(x) = F(x) + 2

G(x) = x² + 2

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A fair coin is flipped 14 times. Find the probability that more than 4 of the flips turn up tails.

Answers

The probability that more than 4 of the flips turn up tails will be 6.10%.

How to find that a given condition can be modeled by binomial distribution?

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

 

The probability that out of n trials, there'd be x successes is given by

P(X = x) = ⁿCₓ pˣ (1 - p)ⁿ ⁻ ˣ

A fair coin is flipped 14 times.

Then the probability that more than 4 of the flips turn up tails.

The probability of success will be

P = 1/2

P = 0.5

n = 14

x = 4

Then we have

P(X = 4) = ¹⁴C₄ (0.5)⁴ x (1 - 0.5)⁽¹⁴ ⁻ ⁴⁾

P(X = 4) = ¹⁴C₄ (0.5)⁴ x (0.5)¹⁰

P(X = 4) = 0.061

P(X = 4) = 6.10%

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Help me and show work plz <3

Answers

Answer:

0.8^4

Step-by-step explanation:

Question :-

Write the expression using exponents.

[tex]0.8 \: · \: 0.8 \: · \: 0.8 \: · \: 0.8 \: = \boxed { ? }[/tex]

___________________

Solution :-

Given Information :-

Expression ➢ 0.8 · 0.8 · 0.8 · 0.8

To Find :-

The value of the expression using exponents.

Calculation :-

Since, the expression is actually the repetition of 0.8, so we can write this as,

⇒ 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴

Calculating further, We get,

⇒ ( 0.8 )⁴ = [tex] \sf \frac{8 \times 8 \times 8 \times 8}{10 \times 10 \times 10 \times 10} = \frac{8⁴}{10⁴} [/tex]

⇒ ( 0.8 )⁴ = [tex] \frac{4096}{10000} [/tex]

Calculating further, We get,

⇒ ( 0.8 )⁴ = 0.4096

0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴ = 0.4096

____________________

Final Answer :-

0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴ = 0.4096

____________________

Thanks to whoever helps have great day and you will get brainliest!

Answers

Answer:

Step-by-step explanation:

yes

no

no

yes

no

Help pleaseee!!!!!!Geometry angles

Answers

Answer:

the two triangles that are congurent are D and F

The radius of a circle is 75 centimeters.
Enter the circumference of the circle, in centimeters. Round your answer to the nearest hundredth.

Answers

Answer:

The circumfrence is 150pi.

Step-by-step explanation:

While a circle, symbolically, represents many different things to many different groups of people including concepts such as eternity, timelessness, and totality, a circle by definition is a simple closed shape. It is a set of all points in a plane that are equidistant from a given point, called the center. It can also be defined as a curve traced by a point where the distance from a given point remains constant as the point moves. The distance between any point of a circle and the center of a circle is called its radius, while the diameter of a circle is defined as the largest distance between any two points on a circle. Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle. All of these values are related through the mathematical constant π, or pi, which is the ratio of a circle's circumference to its diameter, and is approximately 3.14159. π is an irrational number meaning that it cannot be expressed exactly as a fraction (though it is often approximated as 22/7) and its decimal representation never ends or has a permanent repeating pattern. It is also a transcendental number, meaning that it is not the root of any non-zero, polynomial that has rational coefficients. Interestingly, the proof by Ferdinand von Lindemann in 1880 that π is transcendental finally put an end to the millennia-old quest that began with ancient geometers of "squaring the circle." This involved attempting to construct a square with the same area as a given circle within a finite number of steps, only using a compass and straightedge. While it is now known that this is impossible, and imagining the ardent efforts of flustered ancient geometers attempting the impossible by candlelight might evoke a ludicrous image, it is important to remember that it is thanks to people like these that so many mathematical concepts are well defined today.

Help plz..And No links!! I repeat No links!!

Answers

This is Right answer....

I hope you understand....

give me Brainliest.....

Thanks....

The price of a cake of radius r сm and height h cm is given by the formula
P=
[tex] \frac{1}{25} {r}^{2} h[/tex]


If the price of cake is $240 and the height is 15 cm, calculate the radius
of the cake.


pls provide step-by-step explanation, final ans is 20 cm. tysm <33 ​

Answers

Answer:

20 cm

Step-by-step explanation:

Given that :

P = 1/25 r²h

P = price = 240 ; h = height = 15cm

Inputting values into the equation :

240 = 1/25 * r² * 15

25 * 240 = 15r²

6000 = 15r²

6000 / 15 = r²

400 = r²

Square root of both sides

20 = r

Radius = 20cm

Find the missing side. Round to
the nearest tenth.
10
33°
Х
X = ?

Answers

Given:

A right angle triangle with legs x and 10.

The angle opposite to the side with measure 10 is 33 degrees.

To find:

The value of x.

Solution:

We know that, in a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In the given triangle,

[tex]\tan 33^\circ=\dfrac{10}{x}[/tex]

[tex]x=\dfrac{10}{\tan 33^\circ}[/tex]

[tex]x=15.39864[/tex]

[tex]x\approx 15.4[/tex]

Therefore, the value of x is 15.4 units.

The sum of three numbers is fifty-four. The second number is four times the first number, and the third number is six more than the first number. What are the three numbers?

Answers

Answer:

8 , 32 AND 14

Step-by-step explanation:

What value of x makes this equation true? 4x – 10 = 18

Answers

Answer:

7 is the correct answer. brainliest plese

Answer: x=7

4,7=28

28-10 =

18

THIS IS RIGT I PROMIS

or to do it yourself do

10 plus 18

then divide it by 4

plz help 12 points !!! it's l due in a hourPIL Assessment 0 Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. Maurice says that he can make a tray that has a base measuring 10 inches by 10 inches. Is he correct? Use the drop-down menus to explain your answer. Stephan Choose... have enough wood to make the tray because he has Choose... square inches, which is Choose... than he needs to make the tray, Choose... square inches.​

Answers

Answer:

No, because he needs to make a 18 by 12 base. Not enough wood, (area)..... square inches

will mark brainliest if right no cap

Answers

Answer:

6 1/5

Step-by-step explanation:

six and one fifth girl no cap

and that's on mary had a lil lamb

Answer:

[tex]51 \frac{1}{5} ~ laps[/tex]

Step-by-step explanation:

[tex]\frac{laps}{hours} =\frac{x}{1}=\frac{12\frac{4}{5} }{\frac{1}{4} }[/tex]

[tex]x=\frac{\frac{64}{5} }{\frac{1}{4} }[/tex]

[tex]x=\frac{64}{5}*\frac{4}{1}[/tex]

[tex]x=\frac{256}{5} =5 \frac{1}{5}[/tex]

------------------------------

hope it helps..

have a great day!!

The function y=-x^2+65x+256 models the number y of subscribers to a website, where x is the number of days since the website launched. The number of subscribers to a competitor's website can be modeled by a linear function. The websites have the same number of subscribers on Days 1 and 34. a. Write a linear function that models the number of subscribers to the competitor's website.

Answers

Answer:

[tex]y = 30x+290[/tex]

Step-by-step explanation:

Given

[tex]y=-x^2+65x+256[/tex]

Required

The linear function of a competitor's website

On day 1, both websites have the same subscribers.

This implies that:

[tex]y=-x^2+65x+256[/tex]

Substitute: [tex]x =1[/tex]

[tex]y=-(1)^2+65*1+256[/tex]

[tex]y=-1+65+256[/tex]

[tex]y=320[/tex]

This implies:

[tex](x_1,y_1) = (1,320)[/tex]

On day 34, both websites have the same subscribers.

This implies that:

[tex]y=-x^2+65x+256[/tex]

Substitute: [tex]x =34[/tex]

[tex]y=-(34)^2+65*34+256[/tex]

[tex]y=-1156+2210+256[/tex]

[tex]y=1310[/tex]

This implies:

[tex](x_2,y_2) = (34,1310)[/tex]

To calculate the linear function of the competitor, we have:

[tex](x_1,y_1) = (1,320)[/tex]

[tex](x_2,y_2) = (34,1310)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{1310 - 320}{34-1}[/tex]

[tex]m = \frac{990}{33}[/tex]

[tex]m = 30[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 30 * (x - 1) + 320[/tex]

Open bracket

[tex]y = 30x - 30 + 320[/tex]

[tex]y = 30x+290[/tex] --- This represents the linear function of the competitor's website

The  linear function of the competitor's website is represented by y=30x-290.

We have given that,the function y=-x^2+65x+256 models the number y of subscribers to a website, where x is the number of days since the website launched.

We have to find the linear function of a competitor's website.

For the day 1, both websites have the same subscribers.

This implies that

[tex]y=-x^2+65x+256[/tex]

x represent the value of day

so plug x=1 we get

[tex]y=(-1)^2+65+256[/tex]

[tex]y=-1+65+256\\y=320[/tex]

Therefore we get the point

[tex](x_1,y_1)=(1,320)[/tex]

On day 34, both websites have the same subscribers.

[tex]y=-x^2+65x+256[/tex]

x=34

[tex]y=-(34)^2+65\times 34+256[/tex]

[tex]y=-1156+2210+256\\y=1310[/tex]

[tex](x_2,y_2)=(34,1310)[/tex]

What is the slope point form?

[tex](y_2-y_1)=m(x_2-x_1)[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{1310-320}{34-1} \\m=\frac{990}{33} \\m=30[/tex]

Now slope point form is

[tex]y-y_1=m(x-x_1)[/tex]

Theefore we get

[tex]y=30(x-1)+320[/tex]

[tex]y=30x-290[/tex]

Therefore, the linear function of the competitor's website is represented by y=30x-290.

To learn more about the linear model visit:

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what is 1 x (a + 3) = a + 3

Answers

Answer:

[tex]\huge\boxed{a\in\mathbb{R}}[/tex]

The solution is the set of all real numbers.

Step-by-step explanation:

[tex]1\times(a+3)=a+3\\\\a+3=a+3\\\\a-a+3=a-a+3\\\\3=3\qquad\bold{TRUE}[/tex]

Answer:

See the Image below:)

ITS TRUE

SOLUTION ALL REAL NUMBERS

Step-by-step explanation:

I need help with this

Answers

Answer:

look at s d g

Step-by-step explanation:

I will mark you brainlist!

Answers

Answer: 242

Explanation: you are trying to find the surface area. The formula for surface area is: Surface Area=2(width x length)+2(length x height)+2(height x width)
Since the question gives us the values of height, length and width. Just fill the information into the formula.
Surface Area=2(7x10)+2(10x3)+2(3x7)
Solve the parentheses:
Surface Area= 2(70)x2(30)+2(21)
Distribute the 2 into the parentheses:
Surface Area=140+60+42
Solve:
Surface Area=242

Use the law of cosines to write an expression equivalent to b

Answers

Given:

A triangle ABC.

The given expression for b is:

[tex]b=\sqrt{m+n-pq}[/tex]

To find:

The expression that is equivalent to b.

Solution:

According to the Law of Cosines,

[tex]b^2=a^2+c^2-2ac\cos B[/tex]

It can be written as:

[tex]b=\sqrt{a^2+c^2-2ac\cos B}[/tex]              ...(i)

We have,

[tex]b=\sqrt{m+n-pq}[/tex]                                ...(ii)

On comparing (i) and (ii), we get

[tex]m=a^2[/tex]

[tex]n=c^2[/tex]

[tex]p=2ac[/tex]

[tex]q=\cos B[/tex]

Therefore, the required values are [tex]m=a^2,n=c^2,p=2ac,q=\cos B[/tex].

What is the value of h?

Answers

Answer:

6.

Step-by-step explanation:

626×10−34

Answer:

h= 5.7

Step-by-step explanation:

trust me pls ill show work if u need me to

‼️‼️‼️‼️‼️‼️‼️‼️help

Answers

C.
Hope you get it right!

1 Mr. Ruiz made a map of his ranch on the grid shown below.
Cattle
Horses
Sheep
What percent of the ranch is used for sheep?
A 33%
B 25%
C 20%
D 16%

Answers

Answer: C, 20%

Hope this helps

I need the answer ...

Answers

ooh so the directions tell us what we need to find the entire line, which is made up of FH. so just add GH (15) and FG (6) together to find FH. so that is 21. FH=21.

Write the sentence as a conditional statement.

Two parallel lines lie in the same plane.

Answers

if there are two parallel lines on a graph, then they are on the same plane

⚠️ I appreciate the help⚠️
Sofia's family members are choosing numbers to see in what order they will choose gifts. They will spin a spinner with eight sections. The sections are numbered 1 though 8,and all sections are the same size.

What is the probability of spinning a number greater than 3?

A. 3/8
B. 8/3
C. 5/8
D. 8/5​

Answers

Answer:

it should be c. 5/8

Step-by-step explanation:

Since the spinner is out of 8 and the probability is asking for above 3, subtract the 3 from the 8, and you get 5/8

im not too sure if this makes sense, or if it works for everything, but it does help with this. Hope i helped :)

Answer:

C. 5/8

Step-by-step explanation:

A cube has a side length of 5x cm. What is the volume of the cube?​

Answers

Answer:

125x^3 cm^3

Step-by-step explanation:

The volume of a cube of side length s is V = s^3.

If the side length is 5x cm, then V = (5x cm)^3 = 125x^3 cm^3

find the volume of the figure. HELP ASAP DUE SOON.

Answers

Answer: 2123.72

Step-by-step explanation:

Answer:

2123.72

Step-by-step explanation:

Form for Cylinder- V=πr^2h

π=3.14

r=6.5

h=16

π × 6.5^2 × 16 =2123.71663383

Rounded 2123.72

Hope this helps! Brainiest please!:)

which pairs does not represent a function

Answers

Answer

Check the question and complete it. It ain't complete

Sridhar V. Set C does NOT represent a function.

I WILL GIVE YOU BRAINLIEST ANSWER IF YOU GET IT CORRECT!






Laura is donating two boxes of books
to the library. One box has a mass of
9 kilograms. The other box has a mass
of 7 kilograms. What is the total mass
of the two boxes in grams?

Answers

Answer:

16000 grams

Step-by-step explanation:

9(1000) + 7(1000) = 16000

What is the length of the edge of a cube with a
wolume of 512?

Answers

a≈8
V Volume

Using the formula
V=a3
Solving fora
a=V⅓=512⅓≈8



Therefore, to find the lenght of an edge of the cube, just find the cube root of the volume. In this case, the cube root of 512 is equal to 8.
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