How many ways can you pick 4 students from 10 students (6 men, 4 women)?

Answers

Answer 1
Consider this option:
for 4 person from 10: C⁴₁₀.
It means C₁₀⁴ =  [tex] \frac{10!}{4!6!}= \frac{7*8*9}{4!}= \frac{7*8*9}{24}=21.[/tex]

Answer: 21 ways.
Answer 2

Answer:

There are 210 ways in which you can pick 4 students from 10 students (6 men, 4 women).

Step-by-step explanation:

We use the combination formula because the order does not matter.

For example, John, Laura,... is the same way as Laura, then John, then ...

Combinations formula

[tex]C_{n,x}[/tex] is the number of different combinatios of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, we have that:

Combinations of 4 students from a set of 10. So

[tex]C_{10,4} = \frac{10!}{4!(10-4)!} = 210[/tex]

There are 210 ways in which you can pick 4 students from 10 students (6 men, 4 women).


Related Questions

Explain how to rename the fractions using division so they have the same denominator to compare. 4/5 and 6/10

Answers

You could divide 6/10 by 2.
6/10=3/5
4/5 and 3/5 both have the same denominator

Simplify the product. (5 − 6)(2 + 7)

Answers

5 - 6 = -1
2 + 7 = 9
-1 × 9 = -9

-9 would be the simplified answer.

Hope this helps!

divide -2x^3-5x^2+4x+2 by x+2

Answers

We want to divide -12x³ - 5x² + 4x + 2 by  x+2.

We shall perform the division with two methods: long division and synthetic division.

Long Division:
                 -2x² -  x + 6
       -----------------------------
x+2 | -2x³ - 5x² + 4x + 2
         -2x³ - 4x²
       ------------------------------
                  - x² + 4x + 2
                  - x² - 2x
                ---------------------
                           6x  +  2
                           6x  + 12
                       ---------------
                                 - 10
Answer:  [tex]-2x^{2}-x+6- \frac{10}{x+2} [/tex]

Synthetic Division:
-2 | -2  -5  4    2
             4  2 -12
    -------------------
      -2   -1   6 -10

Answer: [tex]-2x^{2} - x + 6 - \frac{10}{x+2} [/tex]

To divide the given polynomial by x + 2, use polynomial long division, which involves dividing the leading term, multiplying the divisor, subtracting, and repeating the process until all dividend terms are addressed.

To divide the polynomial -2x^3 - 5x^2 + 4x + 2 by x + 2, we can use the process of polynomial long division. This method is similar to long division with numbers, where we divide, multiply, subtract, bring down the next term, and repeat the process until we have gone through all terms of the dividend.

The process would look like this:

Divide the first term of the dividend (in this case, -2x^3) by the first term of the divisor (x), yielding -2x^2.Multiply the entire divisor (x + 2) by this quotient (-2x^2) and subtract the result from the dividend.Bring down the next term of the dividend and repeat the process until there are no terms left to bring down.

The final result would be the quotient of the division, which may or may not have a remainder.

Eli earned $98 at his job when he worked for 8 hours. what was his hourly pay rate in dollars per hour hour?Express your answer in simplest form

Answers

Divide the amount of money by the number of hours.

$98/8 = $12.25/hour

TRUE or FALSE?

Two arcs of a circle are congruent if and only if their associated radii are congruent.

Answers

Answer: False.

With any given circle, all of the radii will be the same length. So it's guaranteed to have the radii be congruent. This does not lead to arcs of a circle being congruent. If you know that the central angles are the same, then you can say the arcs are congruent. Or if you know the chords are the same length, then you can say the arcs are congruent. 

Sarah spends 1/6 hour Vacuuming her moms car. She spends four times as long washing the car. Then she spends twice as long waxing the car as she does washing the car. What is the total amount of time Sarah spencer vacuuming washing and waxing her moms car

Answers

Vacuuming
Sarah spend 1/6 of an hour vacuuming her mom's car. That means that if we take a whole hour and divide it into 6 equal amounts of time, she spends one of these vacuuming the car. Let's figure out how many minutes that is. One hour is 60 minutes, so dividing an hour into 6 equal amounts of time means each of these is 10 minutes. So, Sarah spends 10 minutes vacuuming her mom's car.

Washing
Sarah spends 4 times as long washing the car as she does vacuuming it. Since she spends 10 minutes vacuuming, that means she spends 4 times that amount (4 x 10 = 40 minutes) washing the car. That is, Sarah spends 40 minutes washing the car.

Waxing
Sarah spends twice as log waxing the car as she does washing it. Since she spends 40 minutes washing, she spends 2 times 40 minutes (2 x 40 = 80) waxing the car. That is, Sarah spends 80 minutes waxing the car.

Total time spent on mom's car
The total time spent on the car is 10 minutes + 40 minutes + 80 minutes. That is 130 minutes. As there are 60 minutes in one hour, we can also express the answer as 2 hours and 10 minutes.

Answer:

C

Step-by-step explanation:

For any value of n, list the numbers ln, rn, mn, tn and i in increasing order. (enter your answers as a comma-separated list. enter your answer using the variables rather than numerical values.)

Answers

The correct order is [tex]l_n,\ m_n,\ t_n,\ r_n,\ i[/tex].

To list the values ln, rn, mn, tn and i in increasing order for any value of n, we need to understand the relationship between these variables.

The variables ln, rn, mn, and tn likely represent different measures, such as left endpoint, right endpoint, midpoint, and trapezoid point in numerical methods, while i often represents the imaginary unit iota in mathematics.

Commonly, if we assume these have increasing values when ordered, they would be listed as:

[tex]l_n[/tex][tex]m_n[/tex][tex]t_n[/tex][tex]r_n[/tex]i

Therefore, the values in increasing order are:

[tex]l_n,\ m_n,\ t_n,\ r_n,\ i[/tex]

Alina has a spinner that has 5 equal sections: red, blue, green, purple, and orange. She spins the spinner 200 times. About how many times should Alina expect the spinner to land on either purple or orange?

Answers

i think it would be 40 times

Answer:

HI!

Your spinner has 5 colors, and if you spin it, the probability of landing in each color will be the same ( because the spiner has 5 equal sections).

So for every spin, the probability on landing on each color will be 20%.

If i spin it 200 times, then the 20% of 200 is 0.2*200 = 40.

It means that if you spin it 200 times, then each colour shows 40 times theoretically. The question is: how many times should Alina expect the spinner to land on either purple or orange?

you have 40 for purple and 40 for orange, then the total times that the spinner lands on either purple or orange is 80.

I need help I would really thank whoever answers this for me

Answers

To do these problems, you plug in the ‘n’ value given into the equation.

a. 6j - 3 : j = 4
6(4) - 3
24 - 3
21

b. 1/2b + 5 : b = 14
1/2(14) + 5
7 + 5
12

c. 8 + 4k : k = 3.5
8 + 4(3.5)
8 + 14
22
a.
6j - 3 for j = 4.
(6*4) - 3, 24 - 3 = 21.

b.
1/2b + 5 for b = 14
(1/2 * 14) + 5, 7 + 5 = 12

c.
8+4k for k = 3.5
8 + (3.5*4), 8 + 14 = 22

Hope this helps! You could always check these answers on a site called    Math-way (without the dash.)

Find the measure of the major arc if its central angle is 35

Answers

Hey there Javier!

[tex] \left[\begin{array}{ccc}\boxed{\boxed{360-35=325}}\end{array}\right] [/tex]

That major arc would be [tex]325[/tex]° [tex]degrees[/tex].

Hope this helps you boy!

Find the length of the missing side. The triangle is not drawn to scale.

Answers

x = sqrt(17^2 + 15^2)

x = 8

 missing side = 8

why does 16 to the power of 0 equal 1?

Answers

16 to the power of 0 is one because any number to the 0 power is 1. This is because you aren't multiply 16 (or any number) by itself any amount of times.
16^0 = 1 because any number to the zero power is just the product of no numbers at all, which =  1.


hope this helps

1. What is the area of this figure?
Enter your answer in the box.

? cm²

2. What is the measure of angle x?
Enter your answer in the box.

x = °

Answers

1. What is the area of this figure?
Enter your answer in the box.

A = (5x5) + 1/2(4)(5)
A = 25 + 10
A = 35

answer
35 cm²
--------------

2. What is the measure of angle x?
Enter your answer in the box.

x = 90° - 47
x = 43°

Answer:

The area if this figure is 35cm2

Step-by-step explanation:

what are the zeros of the function below?
f(x) = x(x-1)(x+11)/(x+12)(x-13)
a. 0,1, and -11
b. 0, -1, and 11
c. 13 and -12
d. -13 and 12

Answers

When you want to find zeros of rational expression you need to find at which points numerator is equal to zero. In this case, we have the product of three expressions.
[tex]x(x-1)(x+11)=0[/tex]
A product is equal to zero whenever one of the factors is equal to zero. 
That means that zeros of our functions are:
1)[tex]x=0[/tex]
2)[tex]x-1=0[/tex]
[tex]x=1[/tex]
3)[tex]x+11=0[/tex]
[tex]x=-11[/tex]
The final answer is a. Function has zeros at (0, 1, -11).

What is the weekly wage for a person who works 40 hours at an hourly rate of $9.75?

Answers

$390 I hope that this helps

Final answer:

To find the weekly wage for someone working 40 hours at an hourly rate of $9.75, multiply the number of hours by the hourly rate, which equals $390.

Explanation:

The weekly wage for a person who works 40 hours at an hourly rate of $9.75 can be calculated by multiplying the number of hours worked per week by the hourly wage. Here's the calculation:

Hourly rate: $9.75Hours worked per week: 40 hoursWeekly wage = Hourly rate × Hours worked per weekWeekly wage = $9.75 × 40Weekly wage = $390

Therefore, the answer required for the weekly wage for this person is $390.

If "np is greater than or equal to 15" and "n(1-p) is greater than or equal to 15", what is the approximate shape of the sampling distribution of the sample proportion?

Answers

Jfkfkffujckfk kcifiusifjfk kcjfifififfjfsusuifi 679 ifjusi ovifushsueifu ifjjsibo

Answer:

The sampling distribution of the sample proportion will be approximately normally distributed with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

If np >= 15 and n(1-p) >= 15

Can be approximated to the normal distribution, with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

So

The sampling distribution of the sample proportion will be approximately normally distributed with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The area of a circle (A) is given by the formula A=pi*r2
where r is the circle's radius. The formula to find r is . If and , r is centimeters.

Answers

Final answer:

The area of a circle is calculated with the formula A = πr², where pi is the mathematical constant approximately equal to 3.14159 and r represents the circle's radius. Considering significant figures is crucial for maintaining precision, as demonstrated in rounding the calculated area of a circle with radius 1.2 m to 4.5 m², based on the initial data's precision.

Explanation:

The area of a circle is calculated using the formula A = πr², where π (pi) is a constant approximately equal to 3.14159, and r is the radius of the circle. When calculating the area with a given radius, it's important to consider the significance of figures in your final answer. For instance, if a circle's radius is given as 1.2 meters (with two significant figures), and you calculate the area to be 4.5238934 square meters using a detailed value of pi, you need to round your final answer to maintain the precision of your initial data, resulting in an area of 4.5 m².

It's also valuable to note how ancient civilizations, like the Greeks, approximated mathematics related to circles and how such estimations have evolved into our modern understanding, where the concept of significant figures plays a critical role in ensuring accuracy across varying fields of study and applications.

A rectangle is 5 centimeters long and 4 centimeters wide. What is its area?

Answers

The area is twenty because five times four equals twenty
Hey there!

In area, you multiply the length times width.

Length = 5

Width = 4

4 x 5 = 20

The rectangle's area is 20.

Hope this helps you.
Have a great day!

A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 3 weeks, the sheet is only 1.25 meters thick. Let S(t) denote the ice sheet's thickness S (measured in meters) as a function of time t (measured in weeks). Write the function's formula.

Answers

Answer: The required function formula is,

S(t) = 2 - 0.25 t

Step-by-step explanation:

Here, the initial thickness of the ice sheet = 2 meters,

After 3 weeks, the thickness of ice sheet = 1.25 meters

Total changes in the thickness in 3 weeks = 2 - 1.25 = 0.75 meters,

⇒ Total changes in the thickness in 1 weeks = 0.75/3 = 0.25 meters,

Since, the ice is melting with the constant rate.

⇒ The rate of ice decreasing = 0.25 meters per week.

⇒ Total changes in t weeks = 0.25 t meters

The new thickness of ice after t weeks = Initial thickness - Total changes in t weeks.

S(t) = 2 - 0.25 t

Which is the required function's formula.

Final answer:

The function's formula for the ice sheet's thickness as a function of time is S(t) = -0.25t + 2.

Explanation:

To write the function's formula, we can use the slope-intercept form of a linear equation, which is given by the equation y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope represents the rate at which the ice thickness decreases over time. From the given information, we know that the thickness decreases by 0.75 meters over 3 weeks. Therefore, the slope is -0.75/3 = -0.25 meters per week.

Since the ice thickness is 2 meters in the beginning, the initial point on the graph is (0, 2). Using the slope-intercept form, we can write the formula for the ice sheet's thickness as a function of time as:

S(t) = -0.25t + 2

Learn more about Arctic Circle lake ice thickness here:

https://brainly.com/question/15739889

#SPJ2


Rosalia passed out fliers that say, “Vote for Rosalia!” She gave out 85 fliers on Monday, 66 fliers on Tuesday, and 99 fliers on Wednesday. What fraction of the fliers did she give out on Wednesday? Use a diagonal fraction bar in your answer. Explain how you found the answer.

Answers

The information provided will allow us to create a ratio of the number of fliers given out on Wednesday in relationship/compared to the total number of flyers.  This would be written as 99 on Wed./250 total.  I found this by reading the question.  It asked for the fraction given out Wed., which we can write a ratio of part to total for.  The part is Wednesday and total is all the days added together.

Answer:

She gave out a total of 250 fliers and 99 of them were given out Wednesday. The fraction for that would be 99/250.

Step-by-step explanation:

Consider the provided information.

She gave out 85 fliers on Monday 66 fliers on Tuesday, and 99 fliers on Wednesday.

Now, calculate the total number of fliers she give:

She give 250 fliers in total.

We need to find the fraction of the fliers she give out on Wednesday.

On Wednesday she give 99 fliers and total she give 250 fliers.

99/250

Hence, she give out 99/250 fraction of fliers on Wednesday.

An urn initially contains 5 white balls and 7 black balls. each time a ball is selected, its color is noted and it is replaced in the urn along with 2 more balls of the same color. what is the probability that of the first 2 balls selected, one is white and one is black?

Answers

The Answer To Your Q Is 3 Young Sir

Last year, Rachel opened an investment account with $8200. At the end of the year, the amount in the account had decreased by 7.5%. How much is this decrease in dollars? How much money was in her account at the end of last year? What was the decrease in the amount? WHat was the year-end amount?

Answers

I think the decrease is $615. 
She would have $7585 left in her account at the end of the year. 

which of the following is equivalent to the polynomial below

Answers

For this case what you must do is find the roots of the corresponding polynomial by means of a factorization.
 We have then:
 x ^ 2-10x + 61
 (x- (5 + 6i)) (x- (5-6i))
 Checking:
 (x- (5 + 6i)) (x- (5-6i))
 x ^ 2 - x * (5-6i) - (5 + 6i) x + (5 + 6i) * (5-6i)
 x ^ 2 - 5x + 6ix - 5x- 6ix + 25 - 30i + 30i + 36
 x ^ 2 -10x + 61
 Answer:
 (x- (5 + 6i)) (x- (5-6i))

From their house to their parents house, the Leightons have to drive 276 miles. if they have already driven 2/3 of the distance, how far have they gone?

Answers

they have traveled 184 miles
184 miles is how much they have left.

High statement is true? Y=log10^x is not a logarithmic function because the base is greater than 0

Answers

C.) y=log1X is not a logarithmic function because the base is equal to 1. XD
Just took the test!!

Sorry I didn't see this earlier 

Answer:

Option 3 - [tex]y=\log_{1}x[/tex] is not a logarithmic function because the base is equal to 1.

Step-by-step explanation:

To find : Which statement is true?

Solution :

As the function defined in all statement is logarithmic function.

So, The definition of logarithmic function is defined as

[tex]y=\log_bx\Rightarrow b^y=x[/tex] where, b>0 and b ≠ 1.

Now, The following statement

1) [tex]y=\log_{10}x[/tex] is not a logarithmic function because the base is greater than 0.

The statement is False as by definition, the base of a log must be greater than zero but cannot equal one.

2) [tex]y=\log_{\sqrt3}x[/tex] is not a logarithmic function because the base is a square root.

The statement is False as by definition, the base [tex]\sqrt3[/tex]  is a positive number not equal to one.

3) [tex]y=\log_{1}x[/tex] is not a logarithmic function because the base is equal to 1.

The statement is True as by definition log cannot have a base of one.

4)  [tex]y=\log_{\frac{3}{4}}x[/tex] is not a logarithmic function because the base is a fraction.

The statement is False, as 3/4 is a legitimate base, just like any other positive number other than one.

Therefore, Option 3 is true.

Y=10x
Graph the function

Answers

The slope is 10
since it doesn't say anything after the 10x, the y-intercept is at (0, 0)
all I know is that the slope is 10, I dont quite know how to graph it but hope this helps

In 1999 there were 1647 daily and 7471 weekly newspapers published in the United States, as well as X other kinds of newspapers. The total number of newspapers was 700 greater then seven times the number of other kinds of newspapers. How many newspapers were published in 1999 that were not daily or weekly
I NEED THIS ANSWER !!!! 90 POInTS

Answers

I'll do the math for this, it may take me a few minutes so i will update this comment with an answer in just a minute. I always get anxious when nobody replies kind of quickly as i feel it is being forgotten. So just a heads up i'm working on a answer!

How many ways are there to choose eight coins from a piggy bank containing 100 identical pennies and 80 identical nickels?

Answers

There are 9 ways to choose eight coins from a piggy bank.

Total number of ways =

(Combinations of 8 pennies) + (Combinations of 7 pennies and 1 nickel) + ... + (Combinations of 0 pennies and 8 nickels)

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 9 ways

A truck has total of a pounds of fruit in each of n boxes. How many pounds of fruit are on the truck?

Answers

the answer is a times n

Answer:

a x n

Step-by-step explanation:

There are a pounds in n identical boxes. That means you would have to multiply to get the answer.

If 9 is added to twice a number and this sum is multiplied by 6 the result is the same as if the number is multiplied by 7 and 14 is added to the product. What is the number?

Answers

For these type of questions, it requires you to understand and write a algebraic equation out of words given.

Therefore, let that number be y.

"if 9 is added to twice a number" = 2y + 9
"this sum is multiplied by six" = (2y + 9) x 6

"the number is multiplied by 7" = 7y
"14 is added to the product" = 7y + 14

Now combine the expressions and solve away!

(2y + 9) x 6 = 7y + 14

Expand.
12y + 54 = 7y + 14

Shift all the y to a side and all the pure numbers to another side.
12y - 7y = 14 - 54

Group them.
5y = - 40

Divide 5 on both sides.
y = - 8

Therefore, the number is - 8.
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