Suppose there are 11 freshman, 7 sophomores, 13 juniors, and 15 seniors running for the offices of president, vice president, and secretary. If no person can hold more than one office, in how many different ways could these people be elected to these positions if the president must be a senior and the secretary must be a freshman

Answers

Answer 1

Answer:

7,260 ways

Step-by-step explanation:

Here, we are told that the president must be a senior and the secretary must be a freshman.

Now for the post of President, we have 15 choices to pick from

For the post of secretary, we have 11 choices to pick from

Now the last position, the vice president

Firstly , we have 14 seniors( 1 already president), 10 freshmen(1 already secretary) , 6 sophomores and 13 juniors

So the total number of choices will be;

14 + 10 + 7 + 13 = 44

So the number of ways will be;

44 * 15 * 11 = 7,260 ways


Related Questions

Use the Rational Zero Theorem to list all possible rational zeros for the given function.
f(x) = 9x^4 - x^3 + 4x^2 - 5x - 6.
Which of the following is the complete list of possible zeros of the given function?
a. ±1, ±3, ±2, ±1/3, ±2/3
b. ±1, ±3, ±2/3, ±1/9, ±2/9
c. ±1, ±3, ±2, ±6, ±1/3, ±2/3, ±1/9, ±2/9
d. The function has no rational zeros.

Answers

The function has no rational zeros

which function is the inverse of f(x) equals negative 5X -4

Answers

Answer:

f inverse x = -x+4/5

Step-by-step explanation:

Answer:

f^-1(x) = -1/5 x - 4/5

Step-by-step explanation:

f(x) = -5x - 4

Replace f(x) with y.

y = -5x - 4

Switch x and y.

x = -5y - 4

Solve for y.

5y = -x - 4

y = -1/5 x - 4/5

Replace y with f^-1(x).

f^-1(x) = -1/5 x - 4/5

Please help, "What if you magnified the image of a cluster fly (9 millimeters) by 9*10 exponent 3? What would the length appear to be?" Please hElP

Answers

Answer:

9000

Step-by-step explanation:

This is written in scientific notation. When you have a positive exponent (x³), You move the decimal point to the right as many times as the exponent says. Since the exponent is +3, move the decimal to the right 3 spaces:

[tex]9.0(0)\\\\90.0(1)\\\\900.0(2)\\\\9000.0(3)[/tex]

So:

[tex]9*10^3=9000[/tex]

:Done

*Magnifying means that the image will be bigger. So, the new number has to be greater than 9. Since 9000>9, this is true.

This applet illustrates 95% confidence intervals for samples from a normal distribution with known variance. (a) When taking 100 samples of size 30 or greater from a population, exactly 95 of them will create a confidence interval that contains the true population mean. True False (b) Which statement is the correct interpretation of the confidence interval in this illustration?

Answers

Answer:

Step-by-step explanation:

When taking 100 samples of size 30 or greater from a population, exactly 95 of them will create a confidence interval that contains the true population mean. True or false?

This statement is false, or better still, ambiguous. 100 samples of size 30 (or greater) each, means 300 total and it can't be just 95 of them that will contain the true population mean.

Select the correct answer.
Which expression is equivalent to the given expression?
(3m2m)
mn 4
A
27 m5
n
9m5
n
B.
C. 27m4n
D.
9m4n

Answers

Answer:

D 9m 4m because 9 divided by 2 is 3 and 4 divided by 2 is 2 and that's us you answer.

Which operation should you perform last in the expression 3^2 + 2?

Answers

Answer:

8

Step-by-step explanation:

1+1 lol dats da question

Answers

Answer:

yellow?

Step-by-step explanation:

so you have 1 then add another an get yellow, bam im a genius

Answer:

i think you have to first find the first 50 numbers of pi then x that my 96,1000 then you should turn on then off the   works to but if you have a switch it wont work so after that you have to tell who ever you live with that they need to keep talking and never stop being them  and that they are nice person  then you get the answer

Step-by-step explanation:

this only works if you are cool enough

(01.02 MC)Which statement best explains the value of 18 − (−5)? The additive inverse of −5 is +5, so 18 − (−5) = 23. The additive inverse of −5 is −5, so 18 − (−5) = 23. The additive inverse of −5 is −5, so 18 − (−5) = 13. The additive inverse of −5 is +5, so 18 − (−5) = 13.

Answers

Hey there! I'm happy to help!

The additive inverse of a number is one that has its sign switched. If you put a - before a number, the sign switches. We put a - before -5, so its sign switches. -5's additive inverse is 5, so this 18+5, giving us 23.

The additive inverse of -5 is +5, so 18 - (-5)=23.

Have a wonderful day! :D

Stuco wants to start a new project to help with trash removal. They need $15 to buy supplies at the local landfill and they charge 75 per pound.
How can you use this info to assess the possible cost of the service project? If the Senior Class collects 235 pounds of trash, what is the cost
going to be?

Answers

Answer:

$17,640

Step-by-step explanation:

Stuco wants to start a new project to help with trash removal. They need $15 to buy supplies at the local landfill and they charge 75 per pound. If the Senior Class collects 235 pounds of trash, the cost  is going to be $17,640.

235 ⋅ 75 = 17,625

17,625 + 15 = 17,640

Therefore, the answer is $17,640.

Write three DIFFERENT properties that are equivalent to 3 4

Answers

Answer:

6/8

9/12

12/16

Step-by-step explanation:

1. The interior angles of a triangle have measures of 55°, 25°, and x
What is x?

Answers

x=100 hope this helps

James had 42 dollars. He bought his sister a gift that costs x dollars. How much money does james have now, in terms of x

Answers

Answer:

42-x = James' money now

Step-by-step explanation:

James has "42-x dollars" after purchasing a gift for his sister.

Expression for money left to James to be determine if he spend x dollars from $42.

What is arithmetic?

Arithmetic is branch of math that teach how  a word statement can be transform to mathematical expression.

Here, James spend x dollars to bought his sister a gift from $42.
Now, James has only 42-x dollars left in his pocket.

Thus, James has '42-x' dollars after purchasing a gift for his sister.

Learn more about arithmetic here:
https://brainly.com/question/24873057

#SPJ2


Who can help me :(??

Answers

Answer:

3rd option

Step-by-step explanation:

7.6, 7.42, square 48,  79%=0.79

Answer:

C

Step-by-step explanation:

To make this easier, simplify all values to rational numbers (simplify from percentages and roots):

79% → 79÷100 → 0.79

√48 ≈ 6.9

Now order from greatest to least (descending):

[tex]7.6,7.42,6.9,0.79[/tex]

Re-insert the given values before simplification:

7.6, 7.42, √48, 79%

The correct answer is option C.

:Done

Convert 0.4 to a percent

Answers

Answer:

0.4=40%

Step-by-step explanation:

hope this helps!!!

I'LL GIVE YOU BRAINLIEST, YOU LITERALLY CAN HAVE ALL MY POINTS Under a dilation, a square with side lengths 14 meters is transformed to a square with side lengths 2 meters. What is the scale factor of the dilation? Enter your answer as a simplified fraction by filling in the boxes.

Answers

Divide the new length by the original length:

Scale factor = 2/14

Simplified = 1/7

Just doing this for the points.

Its 1/7 simplified, I took the test.

Landon babysits and works part time at the water park over the summer. One week, he babysat for 3 hours and worked at the water park for 10 hours and made $109. The next week he babysat for 8 hours and worked at the water park for 12 hours and made $177. How much does Landon make per hour at each job?

Answers

Answer:

Babysitting =$8.7

Water park =$8.7

Step-by-step explanation:

In 1 week

Babysitting =3 hrs

Water park = 10 hrs

Total =$ 109

In week 2

Babysitting = 8 hrs

Water park = 12 hrs

Total= $ 177

Both weeks

Babysitting =11 hrs

Water park =22 hrs

Total=$286

33 hrs = $ 286

11 hrs =?

11×286÷33=$95.3

33 hrs = $286

22 hrs = ?

22×286÷33=190.7

Babysitting she got $95.3 in both weeks

Water park she got $190.7(rounded offf)in both weeks

11 hrs = $95.3

1 hr = ?

1×95.3÷11=8.7 (rounded off )

22 hrs = $ 190.7

1 hr = ?

1×190.7÷22= 8.7( rounded off)

[tex]\frac{(2xy^2)^5}{(4x^2y)^2 (xy^2)}[/tex]



Please solve this and also mention the steps

Answers

Answer:

2 y^6

Step-by-step explanation:

Simplify the following:

(2 x y^2)^5/((4 x^2 y)^2 x y^2)

Hint: | Distribute exponents over products in (4 x^2 y)^2.

Multiply each exponent in 4 x^2 y by 2:

(2 x y^2)^5/(4^2 x^(2×2) y^2 x y^2)

Hint: | Multiply 2 and 2 together.

2×2 = 4:

(2 x y^2)^5/(4^2 x^4 y^2 x y^2)

Hint: | Evaluate 4^2.

4^2 = 16:

(2 x y^2)^5/(16 x^4 y^2 x y^2)

Hint: | Distribute exponents over products in (2 x y^2)^5.

Multiply each exponent in 2 x y^2 by 5:

(2^5 x^5 y^(5×2))/(16 x^4 y^2 x y^2)

Hint: | Multiply 5 and 2 together.

5×2 = 10:

(2^5 x^5 y^10)/(16 x^4 y^2 x y^2)

Hint: | Compute 2^5 by repeated squaring. For example a^7 = a a^6 = a (a^3)^2 = a (a a^2)^2.

2^5 = 2×2^4 = 2 (2^2)^2:

(2 (2^2)^2 x^5 y^10)/(16 x^4 y^2 x y^2)

Hint: | Evaluate 2^2.

2^2 = 4:

(2×4^2 x^5 y^10)/(16 x^4 y^2 x y^2)

Hint: | Evaluate 4^2.

4^2 = 16:

(2×16 x^5 y^10)/(16 x^4 y^2 x y^2)

Hint: | Multiply 2 and 16 together.

2×16 = 32:

(32 x^5 y^10)/(16 x^4 y^2 x y^2)

Hint: | In (32 x^5 y^10)/(16 x^4 y^2 x y^2), divide 32 in the numerator by 16 in the denominator.

32/16 = (16×2)/16 = 2:

(2 x^5 y^10)/(x^4 y^2 x y^2)

Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (2 x^5 y^10)/(x^4 y^2 x y^2).

Combine powers. (2 x^5 y^10)/(x^4 y^2 x y^2) = 2 x^(5 - 1 - 4) y^(10 - 2 - 2):

2 x^(5 - 1 - 4) y^(10 - 2 - 2)

Hint: | Evaluate 5 - 1 - 4.

5 - 1 - 4 = 0:

2 x^0 y^(10 - 2 - 2)

Hint: | Evaluate 10 - 2 - 2.

10 - 2 - 2 = 6:

2 x^0 y^6

Hint: | Any nonzero expression to the zero power is one.

x^0 = 1:

2×1 y^6

Hint: | Simplify the expression.

Write 2×1 y^6 as 2 y^6:

Answer: 2 y^6

PLSSSS HELPP ASSPPPP!!!!


A large pizza is $18 and a small pizza is $12. Each topping is.50.
How my would it cost for a large pizza with 5 toppings> *

Answers

Answer:

$20.50

Step-by-step explanation:

The pizza itself is $18. If you wanted 5 toppings you would do .50 multiplied by 5. That would give you a total of $2.50 for the 5 toppings. 18 plus 2.50 is 20.50.

Answer:

A large pizza with 5 toppings will be $20.50

A small pizza with 5 toppings will be $14.50

5 toppings would cost $2.50

Step-by-step explanation:

.50x5=2.50

18.00x2.50=20.50

12.00+2.50=14.50

I hoped this helped

The following data represent the pulse rates (beats per minute) of nine students enrolled in a statistics course. Treat the nine students as a population. Complete parts (a) through (c). Student Pulse?
Perpectual Bempah 64?
Megan Brooks 77?
Jeff Honeycutt 89?
Clarice Jefferson 69?
Crystal Kurtenbach 89?
Janette Lantka 65?
Kevin McCarthy 88?
Tammy Ohm 69?
Kathy Wojdya 87?
A) Determine the population mean pulse. The population mean pulse is approximately nothing beats per minute.
B) Determine the sample mean pulse of the following two simple random samples of size 3. Sample 1: StartSet Janette, Clarice, Megan EndSet, Sample 2: StartSet Perpectual, Clarice, Megan EndSet The mean pulse of sample 1 is approximately nothing beats per minute. The mean pulse of sample 2, is approximately nothing beats per minute.
C) Determine if the means of samples 1 and 2 overestimate, underestimate, or are equal to the population mean. The mean pulse rate of sample 1 (underestimates/ is equal to/ overestimates) the population mean. The mean pulse rate of sample 2 (is equal to/ underestimates/ or overestimates) the population mean.

Answers

Answer:

abcdefg

Step-by-step explanation:

Identify the segment bisector of AB¯¯¯¯¯¯¯¯. Then find AB.

Answers

Answer:

is there more to the question? this does not make seince  

Step-by-step explanation:

2a + 4c = 38.00 solve for c

Answers

Answer:

c = 19/2 - 1/2a

Step-by-step explanation:

Step 1: Write equation

2a + 4c = 38.00

Step 2: Solve for c

Subtract 2a on both sides: 4c = 38 - 2a

Divide both sides by 4: c = 19/2 - 1/2a

Step-by-step explanation:

2 (a+2c)=38

a+2c=19

c=(19-a)/2

What are prime numbers ? And a list of examples ?

Answers

Answer:

the number which is divisible only by itself and 1 is called prime number. For example; 2,3, 5, 7, 11 and others.

Simplify the expression: (2n + 3)(–2)

Answers

Answer:

(2n+3)(−2)

=(2n+3)(−2)

=(2n)(−2)+(3)(−2)

=−4n−6

=-4n-6 I took the quiz and got them correct if it is wrong let me know

CAN SOMBODY PLEASE HELP :( ? ILL GIVE BRAINLIEST!! *EXTRA POINTS* !! HELP MEEE ASAP.

Answers

Answer:

juan should be 32

paul=8

Samantha= 16

juan=32

Answer: 2

Step by step:

You know that Paul is 8 and Samantha is half of Paul then it would be 4 and Juan’s age is half of Samantha then it would be 2.

if x-2 is a factor of x^2n+1​

Answers

Answer:

No the factor of x^2 + 1 = n x^2 + 1

Step-by-step explanation:

Write an equation of the line with a slope of m= 2 and passing through the
points (-2,3).

Answers

Answer:

Step-by-step explanation:

y - 3 = 2(x + 2)

y - 3 = 2x + 4

y = 2x + 7

The expression 15n + 2(3p) represents the amount Isaiah spent buying gasoline and snacks, where n represents the price of each gallon of gasoline and p represents the cost of each snack that he bought. Which statement is true about the amount Isaiah spent?

He spent 6p dollars on gasoline.
He spent n + p dollars in all.
He bought 15 gallons of gasoline.
He bought 6 dollars worth of snacks.

Answers

Answer:

He bought 15 gallons of gasoline.

Step-by-step explanation:

In the expression [tex]15n+2(3p)[/tex]

[tex]n=[/tex] price of each gallon of gasoline

[tex]p=[/tex] cost of each snack bought

We can go ahead and distribute.

[tex]15n+6p[/tex]

The [tex]6p[/tex] means he bought 6 snacks. The [tex]15n[/tex] means he bought 15 gallons of gasoline.

Answer:

c

Step-by-step explanation:

Classify the following triangle as acute, obtuse, or right.
30°
249
126
A. Acute
B. Obtuse
C. Right
O D. None of these

Answers

Answer:obtuse

Step-by-step explanation:

PART 1
A.5x=3x
B.5=3
1) How can we get Equation B from Equation A?

Choose 1 answer:

A) Add/subtract the same quantity to/from both sides

B)Add/subtract a quantity to/from only one side

C)Multiply/divide both sides by the same non-zero constant

D)Multiply divide both sides by the same variable expression


PART 2
Based on the previous answer, are the equations equivalent? In others words , do they have the same solution?

choose 1 answer:
A) yes
B) No

Answers

Answer:

не знаю Не до х#я не знаю

9. If LK MK, LK = 7x - 10, KN = x + 3, MN = 9x - 1), and KJ = 28, find L.

Answers

Answer:LJ = 18 + 28 = 46

Step-by-step explanation:

Suppose J, K, L, M, N are points on the same line.

MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14

Since LK = MK and LK = 7x - 10, then

7x - 10 = 8x - 14

8x - 7x = -10 + 14

x = 4

LJ = MK + KJ

MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18

LJ = 18 + 28 = 46

Other Questions
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