There are eight boys and six girls who are members of the trumpet section in the band. From the members of the trumpet section, a quintet is being formed. If the quintet must consist of three boys and two girls, how many quintets are possible?

Answers

Answer 1

Answer:

8 c  3     *   6 c 2 =   56 * 15  =   840 ways

Step-by-step explanation:

Answer 2

First, we consider how many ways there are to choose three boys from eight. There are 8 choices for the first boy, 7 for the second, and 6 for the third. However, because the boys are indistinct from one another, we have overcounted, and must divide by 3*2. Similarly, there are 6*5 ways to choose the two girls, divided by 2 for overcounting. Thus, there are (8*7*6*6*5)/(3*2*2)=840 possible quintets.


Related Questions

Maricow county charges a 4% local fee on all cell phone bills. If a customers bill comes out to 125 what will their bill be including the local fee their bill

Answers

Answer:

$130

Step-by-step explanation:

Given data

Customer bill= $125

Charge= 4%

let us find 4% of $125

=4/100*125

=0.04*125

=$5

Hence the  bill including the local fee is

=125+5

=$130

PLS HELP ILL GIVE THE BRAINLEST PLEASSSSSE

Answers

Answer:
7) ARC DE = 189
ARC EF = 13
ARC DFG = 347
8) ARC MN= 65
ARC NP= 115
ARC NQP= 245

Explanation:
7) 2 *vertical angles so double* (x-3) + 2 * vertical angles so double* 12x-25) = 360 *Total Degree of a circle*
2x-6 +24x-50 =360
26x -56 = 360
26x=416
x=16
Plug it back into the Formula.
Arc EF = x-3
16-3 = 13
Arc 12x -25 *Vertical Angels so same formula as Arc GF*
12(16)-3= 189
ARC DFG = 360 - ARC DG
360 - 13 = 347

8) 10x -45 = 6x-1 *vertical angles equal each other*
4x-45 =-1
4x =44
x=11
ARC MN = 10x -45
10(11)-45=65
ARC NP = 0.5(360 - 2(ARC MN))
0.5(360-130) = 115
ARC NQP = 360 -NP
360-115 = 245

if f (x) =5x^{2} what is 3 f (x) ?

Answers

Answer:

15x²

Step-by-step explanation:

Given

f(x) = 5x² , then

3f(x) = 3 × 5x² = 15x²

In ARST, r = 86 inches, s = 77 inches and T=9º. Find the area of ARST, to the nearest square inch.

Answers

Answer:

518

Step-by-step explanation:

someone please help me

Answers

The answer to your question is B

help!! tell whether the triangle is a right triangle- i don’t need an explanation thank you!!

Answers

Answer:

1.) Right triangle

2.) Not right triangle

3.) Not right triangle

4.) Not right triangle

5.) Right triangle

6.) Right triangle

Step-by-step explanation:

The ones that are a right triangle have at least one angle that has an L shape

Please help... 12 points please thank you!

Answers

Number of dollars I think
Sorry if I’m wrong

PLEASE HELP! ASAP I WILL GIVE BRAINLIEST
This table represents the monthly fees for checking accounts at two banks.

Which statement is best supported by the information in the table?


The fee at Sunset Bank will always be less than the fee at Oceanview Bank.

The fee at Sunset Bank will be less than the fee at Oceanview Bank only when the checking account balance is less than $200.

The fee at Sunset Bank will be less than the fee at Oceanview Bank only when the checking account balance is more than $200.

The fee at Sunset Bank will always be more than fee at Oceanview Bank.

Answers

Answer:

the fee at sunset bank will always be more than fee at Oceanview bank.

Answer:

D

Step-by-step explanation:

i got it correct and go to k-12

Find the missing length of the right triangle.

Answers

20, because by using Pythagorean theorem, a2+b2=c2. Let’s make a=12 and b=16. (12)2 + (16)2 =c2. If you simplify this, 144 + 256 = c2. 144 + 256 = 400, so 400=c2. Finally if we take the square root of both sides, c=20.

Hollis put a layer of boxes in the bottom of a container. Each box has a volume of 1 cubic foot. The base layer of boxes in the container in shown. Hollis will need 8 of these layers to completely fill the container. What is the volume of the container in cubic feet?

Answers

Answer:

288 ft³

Step-by-step explanation:

Given that

The volume of each box is 1 cubic foot

And, Hollies required 8 of these layers

Now based on the above information

We assume that the dimension of the base layer is 6 by 6

So, the volume of the container is

= Length × Width × Height

where,

Length = 6 ft

Width = 6 ft

And, Height = 8 ft

So,

= 6 ft × 6 ft × 8 ft

= 288 ft³

Plzzz can someone help me out???

Answers

I think its the third one, the equation one,

Nancy wants to put up a fence around
a rectangular garden. The garden
measures 12 feet by 18 feet. How
much fencing material is needed?

A30 feet
B 108 feet
C 60 feet
D 216 feet

Answers

Answer:

if you are doing times then it would be 216 feet

Step-by-step explanation:

18 x 12 equals 216 I hope it helped

ABC is a straight line. Work out the size of the angle marked x

Answers

Answer:

x = 57°

Step-by-step explanation:

angles on a straight line add up to 180°. to work out x, we need to subtract 70 and 53 from 180, to get the remaining angle, aka angle x. 180-70=110.

110-53= 57. therefore, x = 57°.

The measure of angle x in the straight line ABC is 57 degrees

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

From the diagram:

x + 53 + 70 = 180° (sum of angles in a straight line).

Hence:

x = 57°

The measure of angle x in the straight line ABC is 57 degrees

Find out more on equation at: https://brainly.com/question/2972832

Amy started picking blueberries at 1{:}37 \text { p.M.}1:37 p.M.1, colon, 37, start text, space, p, point, m, point, end text and finished picking at 2{:}21\text { p.M.}2:21 p.M.2, colon, 21, start text, space, p, point, m, point, end text

Answers

Complete question :

Amy started picking blueberries at 1{:}37 \text { p.M.}1:37 p.M.1, colon, 37, start text, space, p, point, m, point, end text and finished picking at 2{:}21\text { p.M.}2:21 p.M.2, colon, 21, start text, space, p, point, m, point, end text. The time spent picking blueberries

Answer:

44 minutes

Step-by-step explanation:

Given that :

Start time = 1:37 pm

End time = 2:21 pm

The time difference is obtained by subtracting the start time from the end time :

. End time - start time

2:21 pm - 1:37 pm

From 1:37 pm to 2 pm = 23 minutes

From 2 pm to 2:21 pm = 21 minutes

Total minutes = (23 + 21) minutes = 44 minutes

HELP I AM TIMED AND EXPLAIN HOW YOU GOT IT

Answers

Answer:

C) p + 3 < 20

Step-by-step explanation:

Since the max is 20, it has to be < 20

p + 3 < 20

1. John earns 12% for each house he sells.
If he sells a house for $52,000 , what is his commission?
|

Answers

52000 times .12 equals 6240


John earns $6240 commission

Answer:

6240

Step-by-step explanation:

52,000*12%=6240

guys i have 5 min left plz

Answers

Answer:

both are wrong

Step-by-step explanation:

raj's mistake: he did not multiply -2 by -5a/4

antonia's mistake: she went from -4a/4 to a which is wrong because -4/4 is -1.

Simplify.
27²=
FAST plsssssssssssssssssssssss

Answers

Answer:

729

Step-by-step explanation:

27²=  (27)(27)=729

Classify the graph.
A?
B?
C?
D?

Answers

Answer:

linear

Step-by-step explanation:

you can tell its linear bc its in a straight line

hope this helps <3

Alfonso plans to create an ice sculpture out of a 8-cubic foot ice cube. What is the surface area of the cube?

Answers

Answer:

Surface area of cube = 24 ft²

Step-by-step explanation:

Given:

Volume of cube = 8 ft³

Find:

Surface area of cube

Computation:

Volume of cube = Side³

Side³ = 8 ft³

Side³ = (2 ft)³

Side = 2 ft

Surface area of cube = 6a²

Surface area of cube = 6(2)²

Surface area of cube = 6(4)

Surface area of cube = 24 ft²

how many hours and still elapsed from 0740 hrs to 1135 hrs.?

Answers

Answer:

3 hours and 55 minutes

Step-by-step explanation:

Rewrite the function in standard form.
f(x) = 4(x - 2)^2+ 3

Answers

Answer:

f(x) = 4x^2 - 13

Step-by-step explanation:

f(x)=4(x-2)^2 + 3 parentaties first

f(x) = 4 (x^2 - 4)+ 3 multiply by what's infront parentaties

f(x) = 4x^2 - 16 + 3 combine light terms

f(x) = 4x^2 - 13 Answer

Hope I helped :)

SCENARIO A:When the Puertas family moved into their home 14 yearsago, there was alemon and orange tree in their backyard. Both treeshave since been growing ata constant rate. 2 years after the Puertas familymoved in, the lemon tree was 7feet tall, and 8 years after they moved in, the lemontree was 10 feet tall. As forthe orange tree, 3 years after the Puertas familymoved in, it was 4 feet tall, and7 years after they moved in, the orange tree was 8feet tall.Question 1:How many years afterthe Puertas family moved in willthe lemon tree and theorange tree be the same height?What height will theybe?

Answers

Answer: 18

Step-by-step explanation:

What is the alternative press?

Answers

Answer:

D. A news organization that is not owned by a corporation.

Step-by-step explanation:

your answer is i’ll be d hope this helps you

A bag contains 5 red marbles, 3 blue marbles and 6 green marbles. If
two marbles are drawn out of the bag, what is the exact probability
that both marbles drawn will be red?
( I’m needing to know this ASAP please help )

Answers

Answer:

5/14

Step-by-step explanation:

Answer:10/91

Step-by-step explanation:

Now, suppose assuming the true fraction of voters is .65, the estimated standard deviation of X is given as 6.65. Suppose you find that 115 people actually voted yes in the random sample of 200. Conduct hypothesis testing using p value approach at 5% significance level to determine the validity of Candidate A’s claim that he was at least supported by 65% of the voters. (Make sure you show the steps of hypothesis testing)

Answers

Answer:

reject H0 ; conclude that there is significant evidence to conclude that candidate A is supported by less than 65% voters

Step-by-step explanation:

x = 115

n = 200

Phat = x / n = 115 / 200 = 0.575

H0 : P0 ≥ 0.65

H1 : P0 < 0.65

TEST STATISTIC :

Phat - P0 ÷ sqrt[(P0(1-P0))/n]

0.575 - 0.65 ÷ sqrt[(0.65(0.35))/200]

-0.075 ÷ 0.0337268

Test statistic -2.237

Pvalue :

P(Z < - 2.237) = 0.012643

α = 0.05

Pvalue < α

0.012643 < 0.05 ; We reject H0

We can conclude that there is significant evidence to conclude that candidate A is supported by less than 65% voters

HELP ASAP!!!!
thank you so much if you helped!!

Answers

Answer:

H. 22 hours

Step-by-step explanation:

He earns $8 per hour.

176 ÷ 8

22

HURRY PLEASE TIMER: 15 MINS: Coach needs runners for a 4 mile relay race.
Each runner has to run 2/5 mile.
How many runners does the coach need?

Answers

The coach needs 10 runners
Each runner runs 2/5 of a mile, so 5 people would be needed to run two miles. Therefore, he’d need 10 runners.

A student used f ( x ) = 5.00(1.012) x to show how the balance in a savings account will increase over time. What does the 5.00 represent?
A: The annual interest rate of the savings account
B: The interest the savings account earned for the first year
C: The starting balance of the savings account
D: The number of years the savings account has earned interest

Answers

Answer:

A student used f(x) = 5.00(1.012)* to show how the balance in a savings ... A student used f(x) = 5.00(1.012)* to show how the balance in a savings increase over time. What does the 5.00 represent? A The interest the savings account earned for the first year. B ... kamyawright is waiting for your help.

Step-by-step explanation:

2.

For the data in the table, tell whether y varies directly with x. If it does, write an equation for the direct variation.


A. yes; y = -1/3x

B. yes; y = x – 3.3

C. yes; y = –3.3x

D. no

Answers

C. Because every y/x =-3.3 with no y-intercept.

Answer:

D. no

Step-by-step explanation:

im pretty sure its d. no

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