At a high school the student government is made up of 5 seniors, 4 juniors, 3 sophomores and 2 freshmen. If there are 8 seniors, 9 juniors, 12 sophomores and 7 freshmen running, in how many ways can the student government be selected?

Answers

Answer 1

Answer:

32598720

Step-by-step explanation:

Combination for the school government requires:

5 out of 8 seniors = 8! / 3!5! = 6*7*8/2*3 = 7*8 = 564 out of 9 juniors = 9! / 4!5! = 6*7*8*9/2*3*4= 7*2*9 = 1263 out of 12 sophomores = 12! / 3!9! = 10*11*12/2*3 = 10*11*2 = 2202 out of 7 fishermen = 7! / 2!5! = 6*7/2 = 21

So number of total ways is:

56*126*220*21 = 32598720

Related Questions

1.8 divide by 0.72 explain

Answers

Answer:

0.40

Step-by-step explanation:

Change the divisor 1.8 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

We then have the equations:

7.2 ÷ 18 = 0.40

and therefore:

0.72 ÷ 1.8 = 0.40

Both calculated to 2 decimal places.

This year a train ticket costs £24.97

Last year a train ticket for the same journey cost £22.70

Write this year’s cost as a percentage of last year’s cost.

Answers

Answer:

10%

Step-by-step explanation:

24.97 - 22.70=2.27

Increased price÷initial price×100%

2.27÷22.70×100%=10%

Solve the system of equations.

y = 7x + 43 y = 2x + 13

a. (-6, 1)
b. (6, -1)
c. (6, 1)
d. No solution

Please select the best answer from the choices provided ​

Answers

Answer:

a x=-6 y=1

Step-by-step explanation:

7x+42y=0

2x-y=-13

Help me out with this question (geometry)

Answers

Answer:

Step-by-step explanation:

∠UST=2 m∠2

10x+10=2(6x-1)

10x+10=12x-2

12x-10x=10+2

2x=12

x=6

m∠UST=10×6+10=70°

Jessica has $42.60 in her piggy bank. She spent 1/3 of her money at the movies and made $24.50 babysitting her cousins. How much money does she have now? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK!!)
A. 52.90
B. 1.04
C. 12.84
D. 458
E. 5x-8y+7
F. 25.30

Answers

Answer:

a

Step-by-step explanation:

i took the quiz

what is 5/8 - 1/10 please help

Answers

Answer:

0.525

Step-by-step explanation:

by using two simple numbers just subtract with a regular calculator <3 If I got it wrong very sorry

Which of the following is a trinomial with a constant term?
A. -x + y^10
B. X+ 4y + 7
C. y^5
D. x^3 + 11x^2 + x

Answers

Answer:

B

Step-by-step explanation:

because a constant term is a number with out a variable

What is the constant of proportionality in the equation -
Y=x/9

Answers

The constant proportionality is 9.

Someone help pls:( !!!!!!!!!!

Answers

Answer:

Multiply both sides by -2 and reverse the inequality symbol

Step-by-step explanation:

since it is division you want to make it multiplication so that you can get the answer easier

-1/2w<12

it cancels out the -1/2 than just multiply 12 and -2 you get -24

w > -24

find the commission. sales: $450 commission rate: 9%

Answers

$40.50¢

I used a website...

I need help on this!! please help me!​

Answers

Given:

Line segment labelled y is the midsegment of the triangle.

To find:

The measures of x, y and z.

Solution:

Since line segment labelled y is the midsegment of the triangle. So, it divides the included sides in two equal parts.

Line segment labelled y is bisector of both included sides.

[tex]x=21[/tex] units

[tex]z=2\times 16[/tex]

[tex]z=32[/tex] units

According to the midsegments theorem, the length of the midsegment is half of third side or non included side of the triangle.

[tex]y=\dfrac{14}{2}[/tex]

[tex]y=7[/tex] units

Therefore, [tex]x=21\text{ units},y=7\text{ units},z=32\text{ units}[/tex].

A fish tank takes 13.5 minutes to fill at a rate 1.2 litres per minute. How many minutes would
it take 5.4 litres per minute?​

Answers

Answer:

74.1 minutes is the answer

Jada purchases a sweater for $36. The store charges her 8% sales tax on the purchase. How much sales tax will the store charge on the purchase?

Answers

Answer:

Step-by-step explanation:

36/100=0.36 - 1%

8*0.36=2.88$

What is the vertex of the graph of f(x) = |x + 5|– 6? (A) (-6, -5)
(B) (-6, 5)
(C) (-5, -6)
(D) (5.-6)​

Answers

Answer:

C

Step-by-step explanation:

Plz mark as brainliest

Answer:

It’s D

Step-by-step explanation:

In one week, the Tokyo stock market went down from 1836 to 1609. What was the percent of decrease to the nearest whole percent? A. 88% B. 14% C. 12% D. 1%

Answers

Answer:

c.

Step-by-step explanation:

WILL GIVE BRAINLIEST IF UR RIGHT!!!!!​

Answers

Answer:

5 cm

Step-by-step explanation:

If B to C is about 8 cm then C to E is about half of that plus one because its half way to A and a little bit to the right.

Hope this helps!

What is the value of N
N=5

Answers

Answer:

5

Step-by-step explanation:

If N=5 the value of N is 5. You said it : )

Answer: 5

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Can someone please help me I’ve tried so many ways and still can’t get the answer.

Answers

Answer:

15.22

Step-by-step explanation:

The equation of the circumference of a circle is 2(pi)r

This is actually because 2pi is angle of the arc that makes up the full circle (radians of course)

so a simple formula is:

arc length in radians X radius

radius = 4 cm

the area that the question wants is the oposite

of the 142 degree section so 360 - 142 = 218

218 degrees *  (pi/180) = 3.80482 rad

3.80482 * 4 = 15.21928 cm

A blueprint uses a scale factor of 3 in = 2 ft. What is the area on the blueprint of a 3,500 square foot house in inches?

Answers

The answer would be 7,000.

PLEASE HELP its multiple choice i’ll mark brainliest and i added a couple points

Answers

Answer:

i think it the third one but i don't know i'm not in collage math class so...

Step-by-step explanation:

For a hypothesis test of H0: p = 0.35 against the alternative, Ha: p > 0.35, the z test statistic is found to be 2.45. What can be said about this finding?

a. The finding is significant at α = 0.05, but not at α = 0.01.
b. The finding is significant at α = 0.01, but not at α = 0.05.
c. The finding is significant at both α = 0.05 and α = 0.01.
d. The finding isn't significant at α = 0.05 and α = 0.01.
e. The finding is inconclusive because we don't know the value of p.

Answers

Answer:

c? sorry if it's wrong...

The correct statement is,

⇒ The finding is significant at both α = 0.05 and α = 0.01.

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.

Given that;

For a hypothesis test of H₀, p = 0.35 against the alternative,

And, Hₐ: p > 0.35, the z test statistic is found to be 2.45.

Now, We get;

P(z < 2.45) = 0.9929

Hence, Significant is,

⇒ 1 - 0.9929 = 0.0071

Thus, Significant at both 0.05 and 0.01 because both are greater than 0.0071.

So, The correct statement is,

⇒ The finding is significant at both α = 0.05 and α = 0.01.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ3

answer? plsssssssssssssss

Answers

Answer:

B may be hjjjjjjjjjjjjj

Answer:

the third one to the left

Step-by-step explanation:

Ritu and Jitu both deposited Rs 100 in a Bank. Ritu deposited for 5 years with interest rate 8% per year and Jitu deposited for 4 years with interest rate 9% per year. Who will get more interest? By how much?

Answers

Step-by-step explanation:

Step 1

For Ritu,

Principal(P) = Rs 100

Time(T) = 5 year

Rate(R) =8%pa

Intrest (I) = ???

We know,

I = P*T*R /100

= 100*8*5/100

=Rs40

now

For Jitu,

Principal(P) =Rs 100

Rate(R)=9%pa

Time (T) = 4 year

Intrest(I) =?

We have

I = P*T*R/100

=100*4*9/100

=Rs36

Step 2

We have

Intrest of Ritu have more then that of Jitu so she makes more profit

now Profit diffrence =Rs40-Rs36

=Rs4

Therefore Ritu gets 4 more profit then Jitu

A $75 item is discounted 20%. Find the amount of discount

Answers

Answer:

$15

Step-by-step explanation:

70 * .2 = 15 hope this helps!

Answer:

$15

Step-by-step explanation:

Turn the discount into a decimal, multiply the decimal and the $75

Solve the proportion.
u/2 = 4/1

U=

Answers

[tex] \dfrac{u}{2} = \dfrac{4}{1} [/tex]

[tex] \implies \: u \: = \frac{4}{1} \times 2[/tex]

[tex] \implies \: u = 8[/tex]

Answer:

Solve the proportion.

u/2 = 4/1

U = 8

Step-by-step explanation:

2 x u/2 = 2 x 4/1

U = 8

What property is demonstrated below:

(2/3v) x 1 = 2/3v​

Answers

Answer:

Identity property of multiplication

Step-by-step explanation:

Identity property of multiplication: The product of 1 and any number is that number. For example, 7 × 1 = 7 7 \times 1 = 7 7×1=77, times, 1, equals, 7.

Plz Brain-list thanks...

The Identity Property Of Multiplication

Hannah has a dog and a cat. Her dog has 9 spots.
Her dog has 3 times as many spots as her cat.
How many spots does Hannah's cat have?

Answers

Hannah's cat has 3 spots

How to calculate the number of spots that Hannah cat has ?

Hannah has both a dog and a cat

Her dog has 9 spots

Her dog has 3 times as many spots as her cat

The number of spots that her cat has can be calculated as follows

= 9/3

= 3

Hence Hannah's cat has 3 spots

Read more on spots here
https://brainly.com/question/13576028

#SPJ1


Question 1
Simplify -9(x + 3) + 15x
--
333
24x + 27
0 6x + 27
0 6x – 27

Answers

Answer:

-9x-27+15x=6x-27

.....6x-27.…...

Answer:

D: 6x - 27

Step-by-step explanation:

1. Distribute

2. Combine like terms

3. You will get your final answer

-9(x + 3) = -9x - 27

-9(x) = -9x

-9(3) = -27

-9x - 27 + 15x

-9x and 15x are like terms. So add them

-9x + 15x = 6x

So your final answer is 6x - 27.

Hope it helped!

please help me please really need help please

Answers

The answer is Y = 2/3x - 4

The soda bottle below holds 16 ounces. What is the unit rate of the soda?

Answers

Answer:

16 oz per bottle

Step-by-step explanation:

Answer:

11.1 repeating per dollar

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