A student has selected 8 books that she likes, but she has money only for 3 books. how many possible selections does she have?

Answers

Answer 1

Since the order of the books chosen doesn't matter, we use the combination formula to find the number of possible selections. Recall that a combination of k items from a set of n items is given by [tex]nCk= \frac{n!}{k!(n-k)!} [/tex].

In this problem, n = 8 and k = 3. So the number of possible selections is
[tex]8C3= \frac{8!}{3!(8-3)!}=56 [/tex]. Thus the answer is 56.

Answer 2

The student has 6,720 selections to choose from. Because order doesnâ€™t matter, the problem is a combinations function. It is solved by dividing the factorial of 8 by the factorial of 3. So (8*7*6*5*4*3*2*1)/(3*2*1)

Related Questions

Questions 1 & 2??????????

Answers

1) C. Paul and Sarah 2) D. I, III and IV For the first problem, let's look at the three proposed transformations and see which one(s) work. Mark. The points were reflected across the line y = x. Point A (-6,8) would translate to (8,-6) which is not correct. So Mark's idea is wrong. Paul, Reflect over the X-axis, then the Y-axis. Point A(-6,8) => (-6,-8) => (6,-8) Correct Point B(-2,2) => (-2,-2) => (2,-2) Correct Point C(-8,5) => (-8,-5) => (8,-5) Correct So Paul's translation works. Sarah, Rotate 180 degrees around (0,0) Point A(-6,8) => (6,-8) Correct Point B(-2,2) => (2,-2) Correct Point C(-8,5) => (8,-5) Correct So Sarah's translation works. So both Paul and Sarah have a translation that works.Looking at the available choices, the correct answer is C. Paul and Sarah The triangle OCD is given as congruent to the triangle JAL. That means that all the angles and lengths for each triangle matches the angle and length in the other triangle. Basically, both triangles are identical to each other. So let's see about the choices. I. is line segment OC congruent to line segment JA? Yes. OC is the first segment in the triangle OCD and JA is the first segment in triangle JAL. So they're congruent by definition. II. Is line segment OD congruent to line segment AL? No. Segment OD would be congruent to segment JL, or segment CD would be congruent to segment AL. III. Is angle COD congruent to angle AJL? Yes. COD is the angle around point O which is the 1st point in triangle OCD and AJL is the angle around point J which is also the 1st point in the triangle JAL. So they're congruent by definition. IV. Is the angle DCO congruent to angle JAL? C is the second point in triangle OCD and A is the second point in triangle JAL. The measure of the angle doesn't matter which way you're going. So they're congruent as well. So I, III, and IV are all true with II being false. Looking at the available choices, you see that "D. I, III and IV" is the correct answer.

A girl takes 6 hours to ride 38.4 kilometers what is her speed

Answers

I'm not sure but i think its 6.4km per hour

6.4 km an hour. I hope that Helps.

If EF=2x-5, FG=3x-6, and EG=19 find the values of x, EF, and FG. The drawing is not to scale.

a. x = 6, EF = 17, FG = 24
b. x = 1, EF = 7, FG = 12
c. x = 1, EF = -3, FG = -3
d. x = 6, EF = 7, FG = 12

Answers

EG is the whole thing.
This means that EF + FG = EG

EF=2x-5
FG=3x-6
EG=19

Now all you do is plug in the numbers.
(2x - 5) + (3x - 6) = 19
5x - 11 = 19
5x = 30
x = 6

Now plug that x into EF and FG.
EF = 2x - 5
EF = 2(6) - 5
EF = 12 - 5
EF = 7

FG = 3x - 6
FG = 3(6) - 6
FG = 18 - 6
FG = 12

So your answers are:
x = 6
EF = 7
FG = 12
d. x = 6, EF = 7, FG = 12

Tracey paid $170 for an item that was originally priced at $580. What percent of the original price did Tracey pay? Round your answer to two decimal places.

Answers

29.31%

Just divide the new price by the original price and multiply that by 100 :)

Ok do 170/580.
You get 0.2931.....
So round it to 0.29
Then that’s equal to 29%.

A pool is filled at a rate of 105 gal/min. What is the rate in mL per second?

Answers

Greetings!

(There are 3785.41 mL in a gallon.)
There are 60 seconds in minute. Therefore, if we divided the gallon per minute by 60, we can get the answer.

105/60
=1.75 gallon per second

1.75*3785.41
=6624.4675 mL per second

Hope this helps.
-Benjamin

what is the sum of the measures of interior angles of a 15-sides polygon

Answers

using
sum = (n-2)180
= (15-2)180 = 13×180 = 2340°

Answer:

2340

Step-by-step explanation:

A P E X

Fourteen students are surveyed about the books they read. Four students read only science fiction books. Three students read only fantasy books. Five students do not read science fiction or fantasy. How many students read both science fiction and fantasy?

Answers

Well sine you know that 9 students already read something 14-12=2 so only 2 students read both.

Subtract
14 - 4 = 10
10 - 5 = 5
5 - 3 = 2
2 students read both science fiction and fantasy books

A shop makes $37.50 for selling 15 calendars. If the shop wants to make $2450, how many calendars does it need to sell?

Answers

First find the price per calendar.

37.50/15=$2.5 per calendar

Next find the amount of calendars by dividing the amount the shop wants to sell by the price per calendar.

2450/2.5=980 calendars

The shop needs to sell 980 calendars to make $2450.

To find out how many calendars the shop needs to sell to make $2450, we first determine the price per calendar by dividing the total amount made from selling a batch of calendars by the number of calendars in that batch. The shop makes $37.50 from selling 15 calendars, so each calendar is sold for $37.50 / 15 = $2.50. To reach the goal of $2450, we need to calculate the number of calendars by dividing the target amount by the price per calendar.

$2450 / $2.50 = 980 calendars

y equals 5x proportional or non-proportional

Answers

The answer is proportional

bill is on the school archery team. the target has a center bull's-eye and two rings around the bull's-eye. the table gives the probabilities of each outcome. what is the probability that bill will get the next arrow in the inner or outer ring?express your answer as a decimal

Answers

add the 2 probabilities together:

0.297 + 0.423 = 0.72

Answer is C

Final answer:

To determine the probability that Bill will hit the inner or outer ring, you would subtract the probability of hitting the bull's-eye from 1, assuming there are no other sections on the target. If the probability of hitting the bull's-eye is 0.70, the combined probability for the inner or outer ring would be 0.30.

Explanation:

The question asks about the probability that Bill will hit either the inner or outer ring on an archery target, knowing that he hits the bull's-eye with certain probabilities. To find this probability, we need additional information that specifies the probabilities of hitting the inner and outer rings. Assuming we know the probabilities of all possible outcomes (inner ring, outer ring, and bull's-eye), we would add together the probabilities of hitting the inner and outer rings to get the total probability of hitting one of those two sections.

If hitting the bull's-eye has a probability of 0.70 (70%), and since the sum of all possible probabilities must equal 1 (100%), the combined probability of hitting either the inner or outer ring would be 1 - 0.70 = 0.30 or 30%. This assumes there are no other sections to hit on the target. The probability in decimal form would be 0.30.

The family is going on a vacation they will drive 4,180 miles over two weeks about how many miles will they drive on average each day

Answers

Answer:

About 298 miles a day for two weeks because 4180/14=298.571428571

Step-by-step explanation:

Have a great day

In one day, the family will cover 298.57 miles

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying it with the value of a single unit.

Given is a family which is going on a vacation they will drive 4,180 miles over two weeks

Now, in two weeks the family will drive = 4180 miles

This means that -

In 14 days, the family will cover 4180 miles.

Then, in one day, the family will cover (4180/14) or 298.57 miles

Therefore, in one day, the family will cover 298.57 miles

To solve more questions on unitary method, visit the link below-

brainly.com/question/18174151

#SPJ5

Polygon ABCD goes through a sequence of rigid transformations to form polygon A′B′C′D′. The sequence of transformations involved is a reflection across the ___ , followed by a reflection across the line ___.

Answers

Polygon ABCD goes through a sequence of rigid transformations to form polygon A′B′C′D′. The sequence of transformations involved is a reflection across the _Y-axis _, followed by a reflection across the line _y=-x__.

Answer:

y = x linex = 0 line

Step-by-step explanation:

The polygon ABCD showed in the image attached is first reflected across the y = x line, from the second quadrant to the fourth quadrant. This reflection will result like the second image.

Then, it's reflect across the y-axis, which in terms of lines would be x = 0 line. This reflection will be like the last position showed in the first image, it's a common reflection with y-axis as a mirror.

Consider a machine that exchange quarters for dollar bills. Inserting one dollar bill returns four quarters and you may insert up to five one dollar bills at a time. Is 7 a possible input for the relation this change machine represents ?

Answers

No because it says you can only insert up to 5 Dollar Bills unless you put them in one at a time.

How to find the domain of a composite function?

Answers

The domain of the inside function exists, and then an analysis of the outside function may yield an extra restriction to the domain.

the value of a new automobile depreciates 15% during the first year, and 16% during the second year. What is its depreciated value at the end of the second year if its original cost was $15,000

Answers

It starts at 100% - 15% = 85% after the first year. $15,000*0.85 = $12,750
The second year is further reduced 100% - 16% = 84%
$12,750*0.84 = $10,710

N one region, the september energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kwh and a standard deviation of 218 kwh. for a randomly selected home, find the probability that the september energy consumption level is between 1100 kwh and 1225 kwh.

Answers

The probability that a randomly sample of a normally distributed data with a mean, μ, and standard deviation, σ, is between two numbers (a, b) is given by:

[tex]P(a\ \textless \ X\ \textless \ b)=P(X\ \textless \ b)-P(X\ \textless \ a) \\ \\ =P\left(z\ \textless \ \frac{b-\mu}{\sigma} \right)-P\left(z\ \textless \ \frac{a-\mu}{\sigma} \right)[/tex]

Given that the september energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kwh and a standard deviation of 218 kwh.

The probability that the september energy consumption level of a randomly selected home is between 1100 kwh and 1225 kwh is given by:

[tex]P(1100\ \textless \ X\ \textless \ 1225)=P\left(z\ \textless \ \frac{1225-1050}{218} \right)-P\left(z\ \textless \ \frac{1100-1050}{218} \right) \\ \\ =P(z\ \textless \ 0.8028)-P(z\ \textless \ 0.2294)=0.78894-0.5907=\bold{0.1982}[/tex]

A dealer purchased a car for $29,700 and marked it up 12% what is the sticker price of the car

Answers

29,700•1.12=33,264 when adding % you just make it a decimal and add 1, if subtracting just make it negative

Answer: $ 33264

Step-by-step explanation:

Since, the original price of the car = $ 29,700

Marked up price = 12 % greater than the original price of the car

= Original price of the car + 12% of the original price of the car

= 29700 + 12% of 29700

= 29700 + 0.12 × 29700

= 29700 + 3564

= 33264

Hence, the marked price of the car = $ 33264

The difference of two numbers is 15.The larger number is 1 more than 3 times the smaller number. Find the two numbers

Answers

Answer:

Step-by-step explanation:

2) let the two numbers be x and y

x-y =15

(taking x to be big)

x = 3 (y)+1

i.e. x-3y =1

Subtracting we get

2y =14 or y =7

x =15+7 =22

Larger number is 22 and smaller number is 7

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

Alysha is 2 years younger than Bryce/

Let Alysha be x years old then Bryce would be x+2

Sum of their ages

=x+x+2 =28

2x+2 =28

2x=26

x=13

Hence Alysha is 13 years old and Bryce 14 years old.

Question 2 : which characteristic distinguishes ieee 1394 from usb 2.0

Answers

The characteristics that distinguishes IEEE 1394 from USB 2.0 is that USB supports more devices on a single bus

What events forced the passengers on the mayflower to write and sign the mayflower compact? -?

Answers

There were talks of mutiny among some of the passengers due to the poor living conditions. In addition, these passengers also didn't want to have to follow the laws of Virginia that were in control of the settlers at the time.

PLEASE ANSWERRRRRRRR
1. Choose the equation of the vertical line passing through the point (−2, 3).

y = 3
x = 3
y = −2
x = −2

2. The domain of the following relation: R: {(−4, 8), (8, 10), (5, 4), (1, 6), (5, −9)} is

{8, 10, 4, 6, −9}
{−4, 1, 5, 8}
{−4, 8, 5, 1, 5}
No domain exists

Answers

1. x = -2
2. I'm pretty sure it's {-4,1,5,8}... the 5 doesn't have to be written twice..

When constructing inscribed polygons and parallel lines, how are the steps different?

A.) A protractor is used to take measurements.
B.) Four right angles are created.
C.) A compass is used to copy an angle.
D.) There are no differences.

Answers

A compass is used to copy an angle.

The answer is C.

The answer is C.
hope this helps:D

plz give me brainiest

For the curve y = ln(x 2 − 3), find the equation of the tangent line at (2, 0).

Answers

y' = 2x/(x^2 -3) y'(2) = 4
Using the point slope equation:
y-0 = 4(x-2)
y = 4x - 8

If m<1 is twice the measure of its complement (<2), then determine the measure of each angle.

Answers

let m <1 = x then

x = 2(90 - x)
x = 180 - 2x
3x = 180

x = 60

M <1 = 60 and m < 2 = 30 degrees answer

Please help!!! The question is on the picture above. thank you :)

Answers

For a, since a straight line is 180 degrees, that means that x+x+35=180. Subtracting 35 from both sides, we get 145=2x. Next, we can divide both sides by 2 to get 72.5=x

For b, since vertical angles (opposite angles from intersecting lines) are equal, that means that 3x+13=5x-3. Subtracting 3x from both sides as well as adding 3, we get 2x=16. Dividing both sides by 2, we get x=8

When exchanging from your currency to another country’s currency using a foreign rate exchange table, you should ____.

Answers

Hi. When you exchange your currency to another country's currency using a foreign rate exchange table, you should multiply the amount you have by the exchange rate.

Hope this helps.

Take care,
Diana

Can a 3 foot-by-9 foot rectangle be a scaled copy of a 3 foot-by-1 foot rectangle? Explain

Answers

No,because 9 feet is way bigger than 1 foot.

Can someone help me with this question?

Answers

First, we will expand the bracket:
(2-3i)^2 = 4 - 2(2)(3i) + 9i^2
= 4 - 12i - 9 = -5 - 12i

now, we know that c + di = -5 - 12i
This means that the real part is equal to the real part and the imaginary part is equal to the imaginary part.
Based on this, c = -5

He tax rates are as shown. nevada mining currently has taxable income of $97,800. how much additional tax will the firm owe if taxable income increases by $21,000?

Answers

Although there is a bit of information missing, I can answer this question in a general sense. If taxable income is $97,800, then the tax liability is $97,800 * (Tax Rate). For example, if the tax rate is %15 then the tax liability will be $97,800 * .15 = $14,670. If taxable income increases by $21,000, then the additional tax liability in addition to the $14,670 reported earlier will be $21,00 * .15 = $3,150. Please substitute whatever tax rate is given in the original problem wherever i stated .15 or %15. This is just an arbitrary number I used because the information was missing from the problem.

6x^2-5x+1

Factor polynomial

Answers

6x²-5x+1
=6x²-3x-2x+1
=3x(2x-1)-1(2x-1)
=(3x-1)(2x-1)

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