Mathematics College

Evaluate C(7, 7).

A: 0
B: 1
C: 7

If you can, could you please explain how you got your answer. These problems honestly don't make any sense to me and I'm turning towards here as a last resort. Thanks in advance.

Answers

Answer 1
If you're seeing these problems as part of your study of statistics, you should know that
  C(n, k) = n!/(k!×(n-k)!)
where the "!" indicates the factorial, the product of all positive integers less than or equal to the given one.

Then C(7, 7) = 7!/(7!×0!) = 1/0!
You are supposed to know also that 0! ≡ 1, so C(7, 7) = 1.

This is the number of ways you can choose 7 objects from a pool of 7 objects without regard to order. (You can do it one (1) way: choose all of them.)

The appropriate choice is ...
  B: 1
Answer 2

Answer:

Answer = 1

Step-by-step explanation:

Related Questions

√x<4 A.20 B.12 C.2 D.-1 E.5. F. No solution

Answers

We know that for √x to be meaningful, we must have x ≥ 0.

If we square both sides of the inequality, we have
  x < 4²
  x < 16

Thus the whole solution is
  0 ≤ x < 16

The following choices are valid solutions to the inequality:
  B. 12
  C. 2
  E. 5

Let f(x) = -6x + 3 and g(x) = 5x + 4. Find f*g and state its domain.

-18x2 - 39x + 20; all real numbers except x = 1

-30x2 - 9x + 12; all real numbers

-18x2 - 39x + 20; all real numbers

-30x2 - 9x + 12; all real numbers except x = 4

Answers

1- getting f*g:
We are given that:
f (x) = -6x + 3
g (x) = 5x + 4
To get f*g, we will simply multiply the two functions as follows:
f (x) * g (x) = (-6x+3)(5x+4)
f (x) * g (x) = -30x² - 24x + 15x + 12
f (x) *  g (x) = -30x² - 9x + 12

2- getting the domain:
The domain is all the values of x that can be used in the given equation.
In the equation calculated from part 1, we can note that all real numbers can be considered as the domain.

Hope this helps :)

The table below shows a correct representation that 15 pounds (lb) of sugar cost $3: lb lb lb lb lb lb lb lb lb lb lb lb lb lb lb $1 $1 $1

Answers

by the way you are saying it the answer would be 0.20

Answer:

true

Step-by-step explanation:

Q9 Q6.) Write an equation for intersection l₂ that keeps traffic moving.

Answers

The numbers of cars entering the intersection are z and 7. The numbers of cars exiting the intersection are x and 5. To keep traffic moving, ...
  number entering = number exiting
  z + 7 = x + 5

The appropriate selection is ...
  A. z +7 = x +5

A rectangular prism has a volume of 96ft3. The area of the base is 24ft2. What is thw height of the prism? answer soon please

Answers

96/24=4
The height is 4ft.

Factor x3 + 2x2 + x completely

Answers

Answer:

x(x+1)²

Step-by-step explanation:

x is a common factor to all terms so the first step is to factor it out:

... x(x² +2x +1)

The quadratic factor is recognizable as the square (x+1)², so the factoring is ...

... x(x +1)²

Answer:

Step-by-step explanation:x(x+1)2

find (f o g)(2) and (f+g)(2) when f(x)=1/x and g(x)=4x+9

Answers

I believe the answers are:
(f o g) (2)= 1/17 and (f+g) (2)= 17.5
Final answer:

To find (f o g)(2), substitute the value of g(2) into f. To find (f+g)(2), find f(2) and g(2) separately, then add them together.

Explanation:

To find (f o g)(2), we need to first find g(2), and then substitute that value into f. To find g(2), we substitute 2 into the expression for g(x). g(2) = 4(2) + 9 = 8 + 9 = 17. Now, we substitute 17 into the expression for f(x), which is 1/x. (f o g)(2) = f(g(2)) = f(17) = 1/17.

To find (f+g)(2), we first need to find f(2) and g(2) separately. f(2) = 1/2, and g(2) = 17. Now, we add them together. (f+g)(2) = f(2) + g(2) = 1/2 + 17 = 1/2 + 34/2 = 35/2 = 17.5.

write in short; × + 2× + 13×

Answers

The distributive property applies.
  x + 2x + 13x = (1 + 2 + 13)x = 16x

Tim has 39 pairs of headphones and 13 music players. Tim wants to sell all of the headphones and music players in identical packages.
What is the greatest number of packages Tim can make?

Answers

Tim can put 1 music player and 3 pairs of headphones in each of 13 packages.

The greatest number of identical packages Tim can make is 13.

Simplify
cosx ( tanx+cotx)

Answers

The first step to solving this is to use tan(t) = [tex] \frac{sin(t)}{cos(t)} [/tex] to transform this expression.
cos(x) × [tex]( \frac{sin(x)}{cos(x)} + cot(x) )[/tex]
Using cot(t) = [tex] \frac{cos(x)}{sin(x)} [/tex],, transform the expression again.
cos(x) × [tex]( \frac{sin(x)}{cos(x)} + \frac{cos(x)}{sin(x)} )[/tex]
Next you need to write all numerators above the least common denominator (cos(x)sin(x)).
cos(x) × [tex] \frac{sin(x)^{2} + cos(x)^{2} }{cos(x)sin(x)} [/tex]
Using sin(t)² + cos(t)² = 1,, simplify the expression. 
cos(x) × [tex] \frac{1}{cos(x)sin(x)} [/tex]
Reduce the expression with cos(x).
[tex] \frac{1}{sin(x)} [/tex]
Lastly,, use [tex] \frac{1}{sin(t)} [/tex] = csc(t) to transform the expression and find your final answer.
csc(x)
This means that the final answer to this expression is csc(x).
Let me know if you have any further questions.
:)

Final answer:

The expression cosx (tanx+cotx) simplifies to sinx+cosx by using trigonometric identities and recognizing that tanx and cotx can be expressed in terms of sinx and cosx, allowing terms to cancel out.

Explanation:

To simplify the expression cosx (tanx+cotx), we need to use trigonometric identities. Recall that tanx = sinx/cosx, and cotx = cosx/sinx. Therefore, when we multiply cosx by tanx, the cosx in the numerator and denominator will cancel out, leaving us with sinx. Similarly, when we multiply cosx by cotx, sinx in the numerator and denominator will cancel out, leaving us with cosx.

So the simplification process will look like this:

cosx * tanx = sinx

cosx * cotx = cosx

Thus, cosx (tanx+cotx) = sinx+cosx.

This is the simplified form of the expression given. It's important to remember that trigonometric identities are a powerful tool in simplifying expressions involving trigonometric functions.

A marble is drawn at random first from a jar containing four black and four white marbles, and then from a jar containing six black and two white marbles. What is the probability of drawing two black marbles?

Answers

[tex] |\Omega|=8\cdot8=64\\
|A|=4\cdot6=24\\\\
P(A)=\dfrac{24}{64}=\dfrac{3}{8}=37.5\% [/tex]

Answer:

the answer is 37.5% Hope this helps!

-1+7n
A. Quadratic monomial
B. Quadratic trinomial
C. Linear binomial
D. fifth degree binomial
E. none

Answers

-1+7n 
A. Quadratic monomial
B. Quadratic trinomial
C. Linear binomial
D. fifth degree binomial
E. none

The correct answer is:

C. Linear binomial

Linear binomial is a polynomial of the first degree: ax+ b. If to divide a polynomial, containing a letter x, by a linear binomial x – b, where b is a number ( positive or negative ), then a remainder will be a polynomial only of zero degree, i.e. some number N , which can be found without finding a quotient.

If you roll a fair six-sided die and a fair four-sided die, what is the probability that neither die shows a 1?

Answers

Answer in fraction form: 5/8
Answer in decimal form: 0.625

==============================================

Explanation:

There are 5 sides that aren't labeled "1" out of 6 total. So the probability of not rolling a "1" on the six-sided die is 5/6

Similarly, there are 3 sides that aren't labeled "1" out of 4 sides on the four-sided die. The probability of not rolling a "1" for this die is 3/4

Multiply the fractions
(5/6)*(3/4) = (5*3)/(6*4) = 15/24 = 5/8

The answer in fraction form is 5/8 which converts to 0.625 (use long division or a calculator)

Note: the multiplication of probabilities works because the two events (of rolling each die) are independent

at the market,8 apples cost $4.How much do 9 apples cost?

Answers

Divide the price by amount to find out how much each costs. multiply that by 9. 4 (divided by) 8 = .5, or 50cents.  each apple is 50cents. multiply .50 by 9. It costs 4.50. Hope this helps
Hello!

If you divide 8 by 4, it seem that 2 apple costs $1.00. It also seems that whenever there is an odd number of apples, the cost of those apples have a cent count of 0.50 cents. So if 8 apples are $4.00, then I believe that 9 apples are $4.50.

I hope this helps!

What is the measure of ∠N?

Answers

the sum of all interior angles in a polygon is

180( n - 2 ),  n = number of sides in the polygon.

this one is a QUADrilateral, so it has 4 sides, thus its interior angles add up to 180( 4 - 2), or 360°.
 
thus  75 + 104 + 59 + ∡N = 360, ∡N = 360 - 75 - 104 - 59.

8x+6=5x+9
[tex]8x + 6 = 5x + 9[/tex]

Answers

First step is to get variables on one side and constants on the other so that we can combine like terms. To do so, subtract 5x from both sides and subtract 6 from both sides. This gives you:

8x - 5x = 9 - 6

Now combine like terms:

3x = 3

Divide by 3 to isolate the variable x.

x = 1

Final answer:

To solve the equation 8x + 6 = 5x + 9, subtract 5x from both sides to get 3x + 6 = 9, then subtract 6 from both sides to get 3x = 3. Finally, divide by 3 to find x = 1.

Explanation:

The equation given is 8x + 6 = 5x + 9. To solve for x, you first want to get all terms containing x on one side and the constants on the other. This is achieved through the use of addition or subtraction. From LibreTexts™, we know that addition or subtraction of the same number on both sides of an equation maintains equality. So, subtract 5x from both sides:

8x + 6 - 5x = 5x + 9 - 5x

3x + 6 = 9

Next, you subtract 6 from both sides to isolate the x term:

3x + 6 - 6 = 9 - 6

3x = 3

Now, you divide both sides by 3, a step also indicated by LibreTexts™ as multiplication or division by the same number maintains the equation's balance:

3x / 3 = 3 / 3

x = 1

The solution to the equation is x = 1.

2,5,11,20 32,47 what is the next number in the series

Answers

it is easy 2,  5, 11,   20,  32,  47,   65
              +3,+6, +9,+12,+15,+18, +21, 

The next number in the series is 65. To identify the pattern in the given series and find the next number, let's look at the differences between consecutive terms.

5 - 2 = 3

11 - 5 = 6

20 - 11 = 9

32 - 20 = 12

47 - 32 = 15

As we observe, the differences between consecutive terms are increasing by 3 each time. So, to find the next difference, we add 3 to the last difference:

15 + 3 = 18

Now, to find the next number in the series, we add this difference to the last number in the series:

47 + 18 = 65

Therefore, the next number in the series is 65.

To know more about series:

https://brainly.com/question/30241975

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what is the median number for the numbers 4,8,10,5,9?

Answers

Hey there!

The median is the number in the middle when the numbers go from least to greatest. This would be 4, 5, 8, 9, 10. The middle number would be 8. A way to find the middle number is to mark off the end number on the right and left side until you are left with 1 number. If you are left with 2, add the numbers up and divide. The answer to this is 8.

I hope this helps!

Hello There!

Median: The middle number when all the numbers are listed in oder from least to greatest.

To find the median, place the numbers in order from least to greatest.

In this case, the numbers would be 4, 5, 8, 9, 10

The middle number would be 8 so the median for this set of numbers is 8.

identify the two rational numbers. A) √2 B) 1.01 C) 1.010010001... C) -2/5

Answers

Rational numbers can be written as fractions. A is an irrational number because it has infinite digits that cannot be written as a fraction. B is a rational number because it has finite digits. C is an irrational number because it has infinite digits that cannot be written as a fraction. D is rational because it is a fraction.

So -2/5 and 1.01 are rational.

We have that for the Question "identify the two rational numbers. " it can be said that

Option B,C,D is rational

From the question we are told

identify the two rational numbers.

A)√2

B) 1.01

C) 1.010010001...

D) -2/5

Generally

Rational number are real number that exist is a form where the denominators are not zero

Therefore

A)√2 this is an irratioanl number as its \pm 1

B) 1.01  Rational

C) 1.010010001... rational

D) -2/5 rational

Hence

Option B,C,D is rational

For more information on this visit

https://brainly.com/question/19007362?referrer=searchResults

Minimze the product of a positive rational number and a negative rational number, given that the positive number is exactly 8 greater than the negative number. what is the final product?

Answers

If we let x represent the negative rational number, then the product is
  x(x+8)
This describes an upward-opening parabola whose vertex is (-4, -16).

The numbers are -4 and +4, and the final product is -16.

Hey can you please help me posted picture of question

Answers

To find the number of possibilities, we multiply the number of things together:
7*2*4*4
14*4*4
64*4
244
There are 244 combinations

You help build a new play center at a daycare. The play center has a tunnel for the children to climb through. You are painting the outside of the tunnel. Find the approximate surface area of the outside of the tunnel so you know how much area you need to paint. Use 3.14 to approximate pi.

Answers

To answer your question, I need to know the radius or diameter and the height of the object

A bookstore costs $75 a day to keep open, and it spends $11 for each book that it sells. If each book sells for $16, what is the break-even point for this bookstore?

Answers

In order for the bookstore to continue its business, it should sell at least 15 books to meet its $75 cost. For the computation:The formula for solving the breakeven point (BEP) is:Fixed Cost / (Selling Price - Variable Cost) = BEPFixed Cost is the cost that remains constant whether the services provided or products sold increases or decreases.Variable Cost is the cost that varies or differs in proportion to the products or services produced, whether they increased or decreased. In the problem, the Fixed cost is 75 and the variable cost is 11, and lastly, the selling price is 16.To substitute the given to the problem:75 / (16 - 11) = 15

Answer:c=11n+75

Step-by-step explanation:

hey can you please help me posted picture of question

Answers

Considering the function: G(x)= 4-x^4

Graph using selected points:
\Falls to the left and falls to the right:

x              y
-2            -12
-1            3
0             4
1             3
2            -12

Then plot the points given:
See attached picture:

As observed in the provided picture, the graph shows that the function G(x)= 4-x^4 has the same graph in the given problem.
If you observe the two graphs, the graph of G(x) is shifted vertically up by 1 unit as compared to F(x).

So the relation between two graphs can be written as:

G(x) = F(x) + 1

Using the value of F(x), we get:

G(x) = 3 - x⁴ + 1

So,

G(x) = 4 - x⁴

Thus, option A gives the correct answer.

Jordan worked out at a gym for 2 hours. His workout consisted of stretching for 21 minutes, jogging for 45 minutes, and lifting weights for the remaining amount of time. What percentage of Jordan’s workout was spent lifting weights?

Answers

2 hours is equivalent to 120 minutes.  21+45 is 66.  So he spent 66 minutes not lifting weights, and 54 minutes lifting weights.  54/120 would be equivalent to 45%.  So he spent 45% of his workout lifting weights.  Hope this helps!! 

The sum of two numbers is 43 . The larger number is 11 more than the smaller number. What are the numbers

Answers

a- one number
b- second number

a + b = 43 (the sum of two numbers is 43)
(a +11) = b (he larger number is 11 more than the smaller number)

 

so:
a + b = 43
a + (a + 11) = 43
a + a + 11 = 43
2a = 43 - 11
2a = 32
a = 16


now:
a + b = 43
16 + b = 43
b = 43 - 16
b = 27


that is:
a = 16
b = 27

 --------------------------

 checking:

b - a = 11 
27 - 16 = 11 (TRUE)


identify the slope and Y- intercept of the graph of the equation.Then graph the equation, Y = - 5/4X + 1

Answers

The solution is as shown in the figure.

The slope = -5/4

Your salary is $25,000 you just received a 2.5% pay increase for the year. What is your new salary?

Answers

Hey there!

Here is your answer:

The proper answer to this question is "$25,625".

Reason:

In order to add a 2.5% increase on a pay check you have to multiply 25,000 by 1.025.....

25,000×1.025=$25,625

Therefore my new salary is $25,625!

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

2 + 3 × 16 − 2 × 21 − 3

Answers

By the order of operations, the answer is 5.

The order of operations is PEMDAS - 
· Parenthesis
· Exponents
· Multiplication
· Division
· Addition
· Subtraction

Thus, we would multiply 3 with 16 and 2 with 21 first.

    2 + 3 × 16 - 2 × 21 - 3
    2 + 48 - 42 - 3

Now we combine the terms from left to right.

    2 + 48 - 42 - 3
    50 - 42 - 3
    8 - 3
    5

Answer:
5

Final answer:

To solve the expression 2 + 3 × 16 − 2 × 21 − 3, we use the order of operations rule, starting with multiplication to get 48 and 42, followed by addition and subtraction to arrive at the final answer of 5.

Explanation:

The student's question requires us to solve a mathematical expression using the correct order of operations. In the expression 2 + 3 × 16 − 2 × 21 − 3, we need to follow the BIDMAS/BODMAS/PEMDAS rule (Brackets, Indices/Orders, Division and Multiplication, Addition and Subtraction). This rule ensures that we perform multiplication and division before addition and subtraction.

First, we calculate the multiplication parts: 3 × 16 and 2 × 21.
3 × 16 = 48
2 × 21 = 42

Substituting these into the original expression gives us:
2 + 48 − 42 − 3

Next, we perform the addition and subtraction in order from left to right:
2 + 48 = 50
50 − 42 = 8
8 − 3 = 5

So, the expression simplifies to the number 5.

an organization surveyed a random sample of their employees about their new vacation policy. Out of the employees surveyed, 83% rated the vacation policy as "delightful" with a margin of error of ±2% and a confidence interval of 95%. What does the margin of error imply?

Answers

Margin of error implies that the number of those who rated the vacation as delightful ranges between 81% (that is, 83-2) and 85% (that is, 83+2) of the population at a 95% confidence interval.

Answer:

Given is:

Out of the employees surveyed, 83% rated the vacation policy as "delightful" with a margin of error of ±2% and a confidence interval of 95%.

±2% means plus 2% from 83% and minus 2% from 83%, making the interval between 81% and 85%.

In general the margin of error tells that, how many percentage points the results will differ from the real population value. A small margin of error shows trustworthy results whereas a large margin of error means the results are not accurate.

Therefore, it can be concluded, with 95% confidence, that between 81% and 85% of all employees will rate the vacation policy as "delightful."

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