A committee must be formed with 3 teachers and 3 students. If there are 10 teachers to choose from, and 9 students, how many different ways could the committee be made?

Answers

Answer 1

Answer:

10080 ways

Step-by-step explanation:

First we find the amount of combinations of teachers who can be chosen, which is denoted by 10 choose 3 (10 nCr 3), shown below:

10! / (3! * 7!) --> 120

Next to find the amount of combinations of students, you evaluate 9 choose 3(9 nCr 3), shown below:

9! / (3! * 6!) --> 84

To find the total number of combinations, you multiply the teachers combinations by the students combinations:

120 * 84 = 10080


Related Questions

identify the expeession equivalent to 2x+8 by substituting x=7 and x=5.​

Answers

Step-by-step explanation:

If you substitute the x in 2x+8 with 7, you get:

2(7)+8

14+8

22

If you substitute the x in 2x+8 with 5, you get:

2(5)+8

10+8

18

Hope this helps!

UGHH WHAT DOES THAT MEANN?!! PLEASE TELL ME HOW TO WRITE!! It

Answers

0.45$ I am writing this because it tells me I need atleast 20 characters blah blah blah

Answer:

.45

Step-by-step explanation:

it wants u to divide 5.40 by 12

HOPE THIS HELPS CHU (≧w≦)

Solve each of the following equations. Show its solution set on a number line. Check your
answers.
5x =3

Answers

Answer:

3/5

Step-by-step explanation:

It should look like this...

x=3/5

(5*(3/5))=3

5*3 = 15

15/5=3

answer answer answer answer answer

At the store you have 2 options for Speedy Clean Laundry Detergent. One bottle costs $4.99 for 50 fl . oz The other bottle costs $7.50 for 90 fl. oz Which is the better buy?​

Answers

Answer: the bigger bottle (90 fl. oz) is better value

Step-by-step explanation:

One method is to scale the quantities up to the same value.

The LCM (lowest common multiple) of 50 and 90 is 450

9 of the smaller bottle will cost $44.95 and contain 450 fl. oz

5 of the bigger bottle will cost $37.50 and also contain 450 fl. oz

A second method is to find the cost per (say) 10 fl. oz from each bottle

In the 50 fl. oz bottle each 10 fl. oz costs 4.99 / 5 = $0.998

In the 90 fl. oz bottle each 10 fl. oz costs 7.50 / 9 = $0.8333...

PLEASE HELP ME PLEASE !
Not hard !

Answers

Answer:

2.98

Step-by-step explanation:

Please help last math question please plz 50 pts

Answers

answer : well first count how many squares is shaded

Answer:

33

Step-by-step explanation:

because there are 66 squares and 1/2 is shaded so 33

mark me brainliest mark me brainliest

what is 900,000*9,000

Answers

Answer:

8,100,000,000

Step-by-step explanation:

I used a calculator lol

a biking track has a length of 2376 feet. how long is this in miles

Answers

Answer:0.45 miles

Step-by-step explanation:

Conversion

The answer is .45 miles.
1 foot is 0.000189394 mile. That is just the conversion rate. To find how many miles 2,376 feet is, multiply 0.000189394 by 2,376. We get .45 which is the answer. :)

Please solve this problem and I’ll give brainliest

Answers

Answer:

I am pretty sure that the answer is d

Step-by-step explanation:

There are three modes of transporting material from New York to Florida, namely, by land, sea, or air. Also land transportation may be by rail or highway. About half of the materials are transported by land, 30% by sea, and the rest by air. Also, 40% of all land transportation is bay highway and the rest is by rail shipments. The percentage of damaged cargo are, respectively. 10% by highway, 5% by rail, 6% by sea, and 2% by air. (a) What percentage of all cargos may be expected to be damaged

Answers

Answer:

5.7%

Step-by-step explanation:

% Prob (Land) = Half ie 50%  ; % Prob (Sea) = 30%

% Prob (Air) = Remaining ie 100% - 50% - 30% = 20%

Prob (Land highway) = 40% of land = 40% of 50% = 20%

Prob (Land rail) = remaining ie 60% of land = 60% of 50% = 30%

Pr (Damage by Land) = 10% of rail + 5% of rail = 10% of 20% + 5% of 30% = 2% + 1.5% = 3.5%

Prob (Damage by Sea) = 6% of sea = 6% of 30% = 1.8%

Prob (Damage by Air) = 2% of air = 2% of 20% = 0.4%

Total Prob (Damage) =  3.5%  + 1.8% + 0.4%  

= 5.7%

this is a unit test right answers only pls

Answers

Answer:

d

Step-by-step explanation:

took da test

Can anyone of u pls help me???

Answers

4

- + 2 = x = 10

5

this is how i see it..... 4 5ths plus 2 equals 10

Andre drank 1.5 liters of water he brought. If he drank 80% of his entire hike, how much did he drink?

(please do explanation)

Answers

Answer:

He drank 1.2 liters

Step-by-step explanation:

1.5 X 0.8 (80%) = 1.2

Also the dude below also took my points when i asked a question :)

A diver made 6 dives in 30 days. At this rate how many dives did the diver make in 50 days?

HELP IM GIVING BRAINLIEST!!!! :))

Answers

He makes 8 dives in 50 days

Need help on these problems

Answers

Answer:

1.) x = 50 2.) x = 70

Step-by-step explanation:

These angles are complementary angles meaning the angles add up to 90°. Therefore, we can set up equations to solve for the variables.

1.)

x + 40 = 90

x = 50

2.)

x + 20 = 90

x = 70

Answer:

x = 50°

x = 70°

Step-by-step explanation:

90° - 40° = 50°

x = 50°

90° - 20° = 70°

x = 70°

You pay ​$5500 for a municipal bond. When it matures after 20 ​years, you receive ​11,900$. What % is your total return?

Answers

don’t click the link

Compare numbers to their opposites based on their positions on a number line. Choose ALL true statements based on these comparisons.
A) −(−7) = 7
B) Zero is its own opposite.
C) −(−10) = −10
D) −14 and 4 are equally distant from 0.
E) −12 and 12 are equally distant from 0.

Answers

Answer:

A, B, E

Step-by-step explanation:

I'm not too sure about B, but A and E are definitely true

Please help me!

Please!

Answers

Answer:

27

Step-by-step explanation:

9/1/3=9*3=27

Answer:

D. 27

Step-by-step explanation:

This is a simple division

[tex]9[/tex] ÷ [tex]\frac{1}{3}[/tex] =

[tex]\frac{9}{1}[/tex] ÷ [tex]\frac{1}{3}[/tex] =

Cross multiply

[tex]1[/tex] × [tex]1 = 1[/tex]

[tex]9[/tex] × [tex]3 = 27[/tex]

Set it up

[tex]\frac{27}{1}[/tex]

Then, the model represents 27

Can anyone help me with this plz

Answers

Answer:

B.

Step-by-step explanation:

So we know right off the bat the angles ABE and CBD are congruent because of vertical angles.

Now we can look at the sides.

The ratio for 27:18 = 3:2

The ratio for 36:24 = 3:2

They check out.

That means that the answer is B. SAS

What is the value of n?
n = 5
-5 only
0 and 5
5 only
-5 or 5

Answers

Answer:

5 only

Step-by-step explanation:

Answer:

5 only

Step-by-step explanation:

Allen needs to prepare a compound for the patient to pick up tomorrow. He needs to mix 2/5 of drug A, with 5/3 of drug B and 9/3 of drug C. What is the total amount of the drugs mixed together?

Answers

Answer:

76/15 or 5 1/15

Step-by-step explanation:

2/5=6/15

5/3=25/15

9/3=45/15

6/15+25/15+45/15=76/15 or 5 1/15

Dan pays £240 per week in rent.
His landlord decides to decrease the rent by 2.5%.
How much rent does he pay now?

Answers

Answer:

234 pounds

Step-by-step explanation:

100% - 2.5% = 97.5%

(0.975)(240) = 234

234 pounds

Answer:

Dan pays £234 now.

Step-by-step explanation:

240 - 2.5% * 240 = 234

Therefore, he pays £234.

Thenks and mark me brainliest :))))

A spinner had four lettered sections. The table shows the results of an experiment spinning the pointer.

Letter Frequency
Q 15
R 8
S 3
T 24
Fine the probability of each letter in the simplest form.
PLEASE ANSWER FAST.!!!!

Answers

Answer:

Q 3/10    R 4/25    S 3/50  T 12/25

Step-by-step explanation:

Q 15/50    3/10

R 8/50     4/25

S 3/50    3/50

T 24/ 50   12/25

Answer:

Q = 30%

R = 16%

S = 6%

T = 48%

Step-by-step explanation:

please mark this answer as brainliest

Solve 4x= If x=10
HURRY PLEASE ITS A TEST

Answers

Answer:

40

Step-by-step explanation:

4x

4(10)

Answer: 40

Step-by-step explanation:

A painting is purchased for $350. If the value of the painting doubles every 5 years, then its value is given by the function
V(t) = 350 - 205, where t is the number of years since it was purchased and Vt) is its value in dollars) at that time. What is
the value of the painting 10 years after its purchase?

Answers

Answer:

$1400

Step-by-step explanation:

350 x 2 = 700 x 2 = $1400

A reporter for a student newspaper is writing an article on the cost of off-campus housing. A sample was selected of 10 one-bedroom units within a half-mile of campus and the rents paid. The sample mean is $550 and the sample standard deviation is $60.05. Provide a 95% confidence interval estimate of the mean rent per month for the population of one-bedroom units within a half-mile of campus. Assume that population is normally distributed.

Answers

Answer:

(507.05, 592.95)

Step-by-step explanation:

Given data:

sample mean = $550, sample standard deviation S = $60.05

95% confidence interval , n = 10

For 95% confidence interval for the mean

mean ± M.E.

where M.E. is margin of error = [tex]t_{n-1}, \alpha/2\times\frac{S}{\sqrt{n} }[/tex]

Substituting the values in above equation

[tex]=t_{10-1}, 0.05/2\times\frac{60.05}{\sqrt{10} }[/tex]

= 2.62×18.99

=42.955

= 550±42.95

=(507.05, 592.95)

8.
Does a triangle with these side lengths exist?20, 10,9
Da) Yes
I b) No

Answers

Answer:

yes

Step-by-step explanation:

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The area of a cross section perpendicular to the base of a rectangular prism is 45 square inches. If the length and width of the base are 5 inches each, what is the height of the prism? The height of the prism is __ inches. ​

Answers

Answer:

i think it 20 if im wrong im sorry

The height of the prism is 9 inches if the area of a cross-section perpendicular to the base of a rectangular prism is 45 square inches.

What is a rectangular prism?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

Please refer to the attached picture for the figure:

We have:

The area of a cross-section perpendicular to the base of a rectangular prism is 45 square inches.

As we know the area of the rectangular face = lengthxwidth

From the figure:

The area of the rectangular face = hx5

h is the height of the rectangular prism.

45 = hx5

h = 45/5

h = 9 inches

Thus, the height of the prism is 9 inches if the area of a cross-section perpendicular to the base of a rectangular prism is 45 square inches.

Learn more about the rectangular prism here:

brainly.com/question/21308574

#SPJ5

Which is the following closet to 1/2+1/3

Answers

Answer:

0.5

Step-by-step explanation:

you have 1/2+1/3 so you take the numerator of the first fraction and multiply it, and do the same for the numerator of the second fraction. you should be left with 2 & 3. you add those two together and there is your answer. if i am wrong please tell me so i can find the mistake.

¿????¿?????¿?????????????

1 2/8 - 4 3/6

Answers

Answer:

-3.25, or in fraction form, -3 1/4

Step-by-step explanation:

Hope this helps!

Answer:

-3.25

Step-by-step explanation:

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