10 samples of different pastries are on display as customers leave a bakery, they are told that they can choose any 4 samples. how many different selections can a customer make?

Answers

Answer 1

The number of different selections that a customer can make is of 210.

How to find the number of different selections that the customer can make?

To calculate the number of different selections that the customer can make, we need to verify if the order of the selections matters or not, then:

If the order matters, permutation is used.If the order does not matter, combination is used.

In the context of this problem, the order does not matter, hence the combination formula is used.

The number of combinations, from a set of n elements, of x elements, is given according to the following rule:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, the number of selections is of 4 samples from a set of 10 samples, hence it is calculated as follows:

[tex]C_{10,4} = \frac{10!}{4!6!} = 210[/tex]

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Related Questions

A book store manager observed that the number of calendars sold seems to vary inversely as the price per calendar. if the store sells 630 calendars per week when the price is $14.30, how many does he expect to sell if raises the price to $17.80

Answers

A book store manager observed that if raised the price to $17.80 will be;

⇒ 506

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Store sells 630 calendars in a week for the price is $14.30.

Now,

Since, Store sells 630 calendars in a week for the price is $14.30.

So, We can formulate;

Number of sell if raises the price is $17.80 is;

= 630 x $14.30 / $17.80

Multiply the number, we get;

= $9,009 / $17.80

Divide the numbers, we get;

= 506

Therefore,

A book store manager observed that if raised the price to $17.80 will be;

⇒ 506

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Find the volume of the oblique cylinder below. Round your answer to the nearest tenth if necessary.

Answers

The volume of the oblique cylinder is  1,538. 6 cubic units

How to determine the volume

It is important to note that the formula for determining the volume of an oblique cylinder is expressed as;

V = πr²h

Where;

v is the volume of the oblique cylinderπ takes the value 3. 14r is the radius of the oblique cylinderh is the height of the oblique cylinder

Now, let's substitute the values into the formula

Volume, v = 3. 14 ×(7)² × 10

find the square of the value

Volume, v = 3. 14 × 49 × 10

Multiply the values

Volume, v = 1,538. 6 cubic units

Hence, the volume is 1,538. 6 cubic units

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Answer: 2010.6 units^3

Step-by-step explanation:

volume=πr2

=π multiply 8^2 multiply 10

=π times 64 times 10

=2010.619298

therefore 2010.6 units^3 is the answer

PLS HELP
ITS FROM CPM CC3 3.1.3
23-(17-3x4)^2+6

Answers

the answer should be -195 but i’m not 100% sure. Hope this helps:)

An animal shelter had 7 cats , 8 dogs and 5 rabbits available for adoption. what is the ratio of rabbits to total animals at the shelter

Answers

Answer:

1:4

Step-by-step explanation:

There is 7+8+5 = 20 animals total    rabbits are 5

5:20     is the same as 1:4

Andre drew a plan of his courtyard at a scale of 1 inch to 5 feet. On his
drawing, one side of the courtyard is 2.75 inches. What is the actual
measurement of that side of the courtyard?
A. 2.72 feet
B. 13.75 feet
C. 21.82 feet
D. 62.75 feet
2.75 in
Scale
linch
5 feet

Answers

the measurement of that side of the courtyard is 13.75feet

what is three fourths plus two fifths

Answers

Answer:

the sum of 3/4 +2/5 is 1.15

Answer:

Step-by-step explanation:

4.4

The angle of depression from a window 10m above the ground to a coin on the ground is 15°. a. Find the distance of the coin from the base of the building.
b. How far is the coin from the window.​

Answers

The distance of the coin from the base of building is 37.3 m.

What is angle of depression?

An angle of depression is stated to be formed by a horizontal line and the line that connects an item and the observer's eye. It is mostly used to determine the distance between the two objects when we are aware of the angles and height of an object above the ground.

Following is a list of the fundamental trigonometric ratio formulae, and both have the same formula for the angle of depression:

sin x = hypotenuse/perpendicular

base/hypotenuse = cos x

tan x = base/perpendicular

Let x serve as a representation of the distance from the coin to the building's base. When we use the necessary trigonometric function, we get:

Tan θ = perpendicular/base

Tan 15 = 10/x

0.2680 = 10/x

x = 10/0.2680

x  = 37.3134

x = 37.3 m

The distance of the coin from the base of the building is 37.3 m.

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Jenny has a bank account that pays 2.13% simple interest. The balance is $3000. When will the account grow to $3,800? Round to the nearest tenth of a year.

Answers

It will take 12.51 years for a Jenny's balance of 3000 to grow to 3800

Balance in Jenny's account = $3000

Rate of interest = 2.13%

Required amount = 3800

Simple interest is a quick and simple technique to compute interest on money. Interest is always applied to the initial principal amount and is calculated at the same rate for each time cycle.

The formula for simple interest is given:

Simple interest = P*R*T/100

where P = principal amount invested

R = rate of interest

T = time period in years

Substituting the values in the formula we get:

Amount = P*R*T/100 + P

3800 = 3000*2.13*T/100 + 3000

800 = 63.9T

T = 12.51

So, it will take 12.51 years

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Determine which equation is false, based on the solution set S:{3}.

2t = 6
2(2c + 1) = 14
4m + 5 = 12
8 = 3p − 1

Answers

Answer:

4m+5=12

Step-by-step explanation:

4(3)+5#12

right hand side is not equal to left hand side

Answer: 4m+5=12

Step-by-step explanation:

What is the answer asp

Answers

Answer:

d

Step-by-step explanation:

using the tangent ratio in the right triangle

tan D = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{EF}{DE}[/tex] = [tex]\frac{9}{15}[/tex] , then

∠ D = [tex]tan^{-1}[/tex] ( [tex]\frac{9}{15}[/tex] ) ≈ 31.0° ( to the nearest tenth )


Line A contains points (0, 3) and (3, 1) and Line B contains points (-1, 4) and (-7, 5). Explain if these lines are parallel, perpendicular, or
neither. Show all your work.

Answers

The lines are neither parallel or perpendicular

When do we say two lines are parallel or perpendicular or neither?

Two lines are said to be parallel if they have same slope, two lines are perpendicular if the product of the slopes are -1.

Slope of lines with coordinates (a,b), (c,d) can be given by [tex]\frac{d-b}{c-a}[/tex].

We are line A which contains point (0,3) and (3,1)

Slope of line A can be given by  [tex]\frac{1-3}{3-0}[/tex]

Slope of line A = [tex]\frac{-2}{3}[/tex]

We are line B which contains point (-1,4) and (-7,5)

Slope of line B can be given by  [tex]\frac{5-4}{-7+1}[/tex]

Slope of line B = [tex]\frac{-1}{6}[/tex]

Slope of line A and line B are different

Also the product of slopes line A and Line B is also not equal to -1

Hence the lines are neither parallel not perpendicular.

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The point (10, y) lies on the line
y=-3x + 4. Find y

Answers

[tex](\stackrel{x}{10}~~,~~\stackrel{y}{y})\hspace{5em}\stackrel{\textit{substituting in the equation}}{y~~ = ~~3(\stackrel{x}{10})+4}\implies y=34[/tex]

Answer:

Step-by-step explanation:I am pretty sure the answer is supposed to be 2 for x

you are renting a tent for an upcoming camping trip. tents r us charges a non refundable fee of 30$ and 5$ per night that u rent the tent. the function rule for renting the tent for n nights is? if you plan to rent the tent for 8 nights you will have to pay?

Answers

The function rule for renting the tent for n nights is t(n) = 30 + 5n.

The amount of money I have to pay if I rent the tent for 8 nights is $ 70.

Given that:-

Non-refundable fee charged by tents r us to reserve the tent = $ 30

Additional fee charged per night by tents r us = $ 5

We have to find the function rule for renting the tent for n nights and the amount of money I have to pay if I rent the tent for 8 nights.

We know that,

Function rule for renting the tent for n nights = Non-refundable fee + charge per night

Hence, we can write,

t(n) = 30 + 5n

Using the formula, putting n = 8, we get

t(8) = 30 + 5*8 = 30 +40 = $ 70.

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In 3–5 sentences, explain why the moon appears to be less bright than the sun despite its very close distance to Earth. PLEASE HELP A GIRL OUT THIS IS A VERY IMPORTANT TEST I DO NOT WANT TO FAIL

Answers

Answer:

Based on scientific observations and findings, the reasons the moon appears to be less bright than the sun despite its very close distance to earth are the following:

Moon doesn't produce its light but rather takes or reflects the light from the Sun.Moon only reflects about 12 percent maximum of lights that shines on it from the sun.Externally, Moon is made of dark-colored soil often referred to as lunar soil. This is unlike the Sun which is made of hydrogen and helium, whose atoms are very light.Also, Sun is about 400 times bigger than the Moon.


Hence, in this case, it is concluded that there are many reasons the moon appears to be less bright than the sun despite its very close distance to earth.

Step-by-step explanation:

Twice a number plus 3 is the same as the number minus 6 find the number it is a linear equation

I need help with this math problem

Answers

Answer:

The number is -9

Step-by-step explanation:

Let x be the number we do not know.

The you would set up the equation like

2x + 3 = x - 6

     +6

2x+9 = x

        -2x

9 = -1 x

/-1

=-9

To check math:

2(-9) + 3 = -9 - 6

-18 + 3 = -15

-9 - 6 = -15

Half of the sum of 17 and 9 anyone??

Answers

MATHEMATICALLY WE WRITE THIS AS

[tex] = \frac{1}{2} (17 + 9) \\ = \frac{1}{2} (26) \\ = 13[/tex]

THE ANSWER IS 13

GOODLUCK

17+9=26
26/2=13
The answer is 13!

5. The rental price of a dacha was $9000. At the end of each month the price is increased by 6%.
a) Find the price of the house after 1 month.
b) Find the price of the house after 3 months.
c) Find the price of the house after 10 months.

Answers

Compound interest is calculated by multiplying the initial loan amount, or principal, by one plus the annual interest rate multiplied by the number of compound periods multiplied by one. This will give you the total amount of the loan plus compound interest.

The rental price increases  in compound by 6%.

after 1 month : price  A = $9,540.00.

after 3 month : price  = $10,719.14

after 10 month : price  =  $16,117.63

What is the formula for calculating compound interest?

Compound interest is calculated by multiplying the initial loan amount, or principal, by one plus the annual interest rate multiplied by the number of compound periods multiplied by one. This will give you the total amount of the loan plus compound interest.

The rental price increases  in compound by 6%

Rental price of Dacha = 9000

increased = 6%.

The price of the house after 1 month.

A = P[tex](1 + \frac{r}{n})^{nt}[/tex].

A = final amount

P = initial principal balance = 9000

r = interest rate = 6% =6/100

n = number of times interest applied per time period = 1

t = number of time periods elapsed

after 1 month :

Then solve the equation for A

A = P(1 + r/n)nt

A = 9,000.00(1 + 0.06/1)(1)(1)

A = 9,000.00(1 + 0.06)(1)

A = $9,540.00.

After 3 Month :

Then solve the equation for A

A = P(1 + r/n)nt

A = 9,000.00(1 + 0.06/1)(1)(3)

A = 9,000.00(1 + 0.06)(3)

A = $10,719.14

after 10 month :

Then solve the equation for A

A = P(1 + r/n)nt

A = 9,000.00(1 + 0.06/1)(1)(10)

A = 9,000.00(1 + 0.06)(10)

A = $16,117.63

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please PLEASE HELP ME MY MOM IS SO UPSET I HAVE AN F

Answers

Answer:

x=60, y=30

Step-by-step explanation:

30+x=90, y+x=90. process of elimination

PLEASE HELP ASAP ITS GEOMETRY

Answers

Answer:

I don't realy know

Step-by-step explanation:

I think it's B

If yall can help me with this, tysm

Answers

Answer:

m<1 = 37

m<2 = 68

m<3 = 68

m<4 = 143

m<5 = 75

Answer:

Angle 1 = 37° (alternate angles)

Angle 2 = Angle 3 (alternate angles)

Angle 2 and 3 = 180 - 112

= 68° (sum of angles on a straight line)

Angle 4 = 180 - 37

= 143° (sum of angles on a straight line)

Angle 5 can be found using more than one method. I'm just going to show two here.

Method 1:

Angle 2 + Angle 5 + Angle 1 = 180° (sum of angles on a straight line)

68 + Angle 5 + 37 = 180

Angle 5 = 180 - 68 - 37

= 75°

Method 2:

Angle 5 + Angle 3 + 37 = 180° (sum of angles in a triangle)

Angle 5 + 68 + 37 = 180

Angle 5 = 180 - 68 - 37

= 75°

Last quarter, Stamford Paper Company shipped a total of 937,362 reams of paper. They shipped 190,122 reams of colored paper. About how many reams of white paper did the company ship? Choose the better estimate.

Answers

The quantity of white paper shipped by the company is 7,47,240 reams.

Here, we are given that last quarter, Stamford Paper Company shipped a total of 937,362 reams of paper.

Further, we are also given that they shipped 190,122 reams of colored paper.

Let us assume that there are only two types of papers that the company ships, these are- colored and white.

Thus-

colored paper + white paper = total paper shipped

Let the reams of white paper shipped be x

Substituting the values given in the question we get-

190,122 + x = 937,362

subtracting 190,122 from both sides we get-

x = 937,362 - 190,122

x = 7,47,240

Thus, the quantity of white paper shipped by the company is 7,47,240 reams.

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which is true about parallel lines? they always intersect at the origin. they have equal slopes. they meet at a angle. the product of their slopes is always 0.

Answers

Answer:

They have equal slopes.

Step-by-step explanation:

Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching.

22
Select the correct answer.
Consider the graph of the function f(z)= 10⁰
-5 -4 -3 -2
F
5
4
3-
2-
-2-
-3-
T
3 4
What is the range of function gif g (z)= -2 f(z) + 1?
O A. (0,00)
OB.
(-00, 2)
O C.
(-00, 1)
OD. (-2,00)

Answers

The range of function g would be c. (-∞, 1).

The requried range of the function is range = {y | y ≤ 1} or in interval notation, this can be written as range = (-∞, 1]. Option C is correct.

What is the range?

The range is the set of values that come out to an outcome for a certain mathematical operation.

Here,

First find the function g(x),
So,
g(x) = -2(10ˣ) + 1


To calculate the range of the function g(x) = -2(10ˣ) + 1, we need to determine the set of all possible output values that the function can produce.

Notice that the function f(x) is a linear function of the form y = mx + b, where m = -2 and b = 1. Since the exponent function, 10ˣ is always positive, the value of -2(10ˣ) is always negative, and adding 1 to a negative number results in a range of all real numbers less than or equal to 1.

Therefore, the range of the function is range = {y | y ≤ 1} or in interval notation, this can be written as range = (-∞, 1]

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Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in producing small tubes of toothpaste. 2, 1, 3, 4 1, 2, 3, 4 4, 3, 1, 2 2, 1, 4, 3

Answers

In order to place the companies greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste is 4, 3, 1, 2

What is the formula for comparative advantage?

We can calculate the comparative advantage with the formula;

CA = rate of producing large tubes/rate of producing small tube

For 1 Sparkling:

CA = 100/200

CA = 0.5

For 2 Bright White:

CA = 100/250

CA = 0.4

For 3 Fresh:

CA = 200/250

CA = 0.8

For 4 Mint:

CA = 150/150

CA = 1

Therefore, In order to place the companies greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste is 4, 3, 1, 2

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Answer:

C or option 3

Step-by-step explanation:

4,3,1,2

Find the total price, including tax of a $15.99 hat with 6% tax


Show Work!

Answers

The total price of the hat including the tax is $ 16.9494 .

How to calculate percentage and how is it determined?
A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it. No dimension exists for percentages. Thus, it is referred to as a dimensionless number. The value must be divided by the entire value, and the resulting number must then be multiplied by 100 to get the percentage.
Mathematically, Percentage formula = (Value/Total value) × 100

Given, cost price of hat (total value) = $ 15.99
Percentage tax imposed on the hat = 6%
Now, using the formula established in the literature above, we have:
Percentage = (Value/Total Value)×100
⇒ Value = (Percentage × Total Value)/100 = (6×15.99)/100 = $ 0.9594
Therefore, the total price of hat = Cost Price + Value = $ (15.99 + 0.9594) = $ 16.9494
Thus, the total price of the hat including the tax is $ 16.9494 .

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6. The graph of a function contains the points (2, 11), (-1,5), (-3,21)
and (x, y). Which of the following could be (x, y)?
A. (-2, 11)
B. (2,5)
C. (-3, 15)
D. (-1,9)

Answers

Answer: c

Step-by-step explanation:

yes

Point X between 0 and 1 on a number line. Point Y is between -2 and -3 on a number line. Which point could represent the product of X and Y?

Answers

Answer:

(0.5)(-2.5) = -1.25

Step-by-step explanation:

There are lots of answers.  I could choose the number .5 which is between 0 and 1 and I could choice -2.5 which is between -2 and -3.

Multiply together

(.5)(-2.5) = -1.25

20 POINTS FOR THIS NEED ASAP

Answers

Answer: Square feet

Step-by-step explanation: Well, in the 3 options given, ounces aren't used for distance which is what it is calculating, and for bigger terms, you wouldn't use inches, so the only logical answer is square feet.

joe, thea, and taylor invested in a partnership in the ratio 1:4:7 respectively. years later when the partnership was worth $1.6 million, thea decided to go to graduate school and sells her part of the partnership to joe.

Answers

To buy thea's share, Joe would need $ 533,333.33.

After buying thea's portion, Joe will own 41.6%.

Given, joe, thea, and taylor invested in a partnership in the ratio 1:4:7 respectively.

Total ratio is = 1+4+7 = 12

hence joe = 1/12

thea = 4/12

taylor = 7/12

therefore share of each person:

1/12 × 1,600,000 = 133,333.33 -- Joe's share

4/12 × 1,600,000 = 533,333.33 -- thea's share

7/12 × 1,600,000 = 933,333.33 -- taylors share

total = 1,599,999.99 rounds to 1,600,000.00 or 1.6 mil

to buy thea's share, Joe would need $ 533,333.33.

after buying thea's portion, Joe will own :

(1/12 + 4/12) = 5/12 = 0.416 = 41.6%

Joe would require $533,333.33 to purchase Thea's portion.

Joe will hold 41.6% after purchasing Thea's share.

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mel drives a bus 39 weeks in a year
she drives the bus an average of 298 miles each week
work out an estimate for the total number of miles mel drives the bus in one year

Answers

The total number of miles Mel drives the buses in one year is 11,622.

Solution:-

= 39 x 298 = 11,622

The distance can also be calculated in miles if you know the speed and time it will take to travel a certain distance. Just multiply the speed by the time. If the car is going 64 mph and he drives for 2 hours, he has traveled 130 miles. A conventional car can drive him 200,000 miles. Some well-maintained vehicles have over 300,000 total miles.

Currently, the average age of a US car is about 12 years. Choosing a well-made make and model can extend the life of your vehicle. A used car with a low annual average can be considered to have good mileage. Simply divide the mileage by the age of the car to get an annual average.

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Which evidence from Anne Frank: The Diary of a Young Girl supports the inference that Anne comes to recognize her own flaws as she gets older?A) "It's a good thing I'm not a grouser, because then I might get sour and bad-tempered."B) "I took it much too seriously, was offended, and was rude and aggravating to Mummy, which, in turn, made her unhappy."C) "It is mighty difficult to be on such model behavior with people you can't bear, especially when you don't mean a word of it."D) "To return to the 'upbringing' theme for the umptienth time, I must tell you that I really am trying my utmost to be helpful, friendly, and good . . ."PLS HELP IM DOING A QUIZ Problem: Captain Arsenio wants to fly but he haslittle knowledge of mechanics or physics.These are the important story events: The parenthesis are been used just as the absolute value signs. * 2 points Given the parent function f(x) = r, the function g(x) = (x - 1)3 - 2 is the result of a shift of f(x) (1) 1 unit left and 2 units down (2) 1 unit left and 2 units up (3) 1 unit right and 2 units down (4) 1 unit right and 2 units up 0 1 2 3 O 4 in the book crossed when cassia was taken to he main hall for the comunication she saw Which of the following is not a variant of internet addiction, according to psychiatrist jerald block?a. excessive gaming b. sexual preoccupations c. cyberbullying d. e-mail/text messaging Actually, all of the above are variants of Internet addiction, according to Block. the role of salivary lipase, gastric lipase, and pancreatic lipase is to multiple choice question. digest triglycerides. emulsify fats. transport lipids in the bloodstream. digest cholesterol. How does the culture of the Kiowa tribe affect Momaday's personal identity there is a .9987 probability that a randomly selected 27-year old male lives through a year. a life insurance company charges $154 for insuring that the male will live through the year. if the male does not survive the year, the policy pays out $100,000 as a death benefit what effect does drinking alcohol and taking a prescription drug or over the counter medicine have dmv what is 49.6 divided by 7.8? Calculate the horizontal force that must be applied to produce an acceleration of 1.8 m/s2 for a 1.2-kg puck on a horizontal friction-free air table. why is the parallel method the most common resource constrained smoothing heuristic? (check all that apply.) multiple select question. How did the relationship between the British and the American colonists change as a result of the French Indian War? Why did it change? Dude my sister posted this one what feature in windows server 2012 gives you fine-tuned control over shared resources by using data classification? the government decides to impose a price ceiling on a good because it thinks the market-determined price is too high. if it imposes the price ceiling above the equilibrium price: Which of the following is not affected by the addition of water to a concrete mix? a. Cost of the concrete to the customer b. The concrete's slump, c. The concrete's future strength, d. The concrete's propensity to develop shrinkage cracks, e. The ease of placing the concrete by the masons and laborers, Josh opens a savings account with a $300 deposit. He won't add or withdrawal any money. Theaccount earns 2% simple interest. What is the total amount that Josh will have on his savings atthe end of 5 years?O $6O $306O $30O $330 1)In what ways is the concept of Due Process and the Rule of Law connected? Where are examples of this in the U.S. Constitution.2) Describe the four central issues of the Rights of the Accused. Describe a scenario that could come up in the future that would fall into one of these central issues that is not discussed in the article.3) What are the critical protections needed to ensure Due Process in America? Are those reflected in the Constitution or should there be an amendment added to ensure Due Process. A listing agreement in which the owner retain the right to sell the property without paying a commission to the listing agent is known as a