Tyler stood outside the movie theater and asked every fourth person to enter the movie theater for their favorite sport. There were
four choices football, baseball, basketball, and other. Bill surveyed a total of 52 people of those surveyed, 11 said football is their
favorite 13 said baseball is their favorite, 14 said basketball is their favorite, and 14 said other.

Identity the sample size in the situation above.

A. 65
B. 38
C. 27
D. 52

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[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \huge \tt\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex]\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) } \\ [/tex]

To start solving this question, note that ⇨ for any 2 differentiable functions, the derivative of the quotient of the 2 functions will be the denominator multiplied by the derivative of the numerator minus the numerator again multiplied by the derivative of the denominator whole divided by the denominator². By doing all these steps, we'll get it as..

[tex]\frac{\left(x^{1}-5\right)\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}-2)-\left(3x^{2}-2\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}-5)}{\left(x^{1}-5\right)^{2}} \\ [/tex]

Remember that the derivative of the polynomial will be the sum of the derivatives of its terms. We know that, the derivative of a constant term is 0 & the derivative of [tex]ax^{n}[/tex] is [tex]nax^{n-1}[/tex]. So..

[tex]\frac{\left(x^{1}-5\right)\times 2\times 3x^{2-1}-\left(3x^{2}-2\right)x^{1-1}}{\left(x^{1}-5\right)^{2}} \\ [/tex]

Now, simplify it..

[tex]\frac{\left(x^{1}-5\right)\times 2\times 3x^{2-1}-\left(3x^{2}-2\right)x^{1-1}}{\left(x^{1}-5\right)^{2}} \\ = \frac{\left(x^{1}-5\right)\times 6x^{1}-\left(3x^{2}-2\right)x^{0}}{\left(x^{1}-5\right)^{2}} \\ = \frac{x^{1}\times 6x^{1}-5\times 6x^{1}-\left(3x^{2}x^{0}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{1+1}-5\times 6x^{1}-\left(3x^{2}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{2}-30x^{1}-\left(3x^{2}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{2}-30x^{1}-3x^{2}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{\left(6-3\right)x^{2}-30x^{1}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{3x^{2}-30x^{1}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{3x^{2}-30x-\left(-2\right)}{\left(x-5\right)^{2}} \\ = \large \boxed{\boxed{ \bf \frac{3x^{2}-30x + 2}{\left(x-5\right)^{2}} }}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

The acceleration of a car that travels in a straight line at a constant speed of 100 km/h is zero. Average.

Answer:

hope you find the answer

Ummm i don't know what the pmf would be but the probability of grabbing a blue sock would be 10 out of 100...

Answer:

0 > -60

Step-by-step explanation:

Every negative number is less than 0

Answer:

115.248

Step-by-step explanation:

120−96×[5 ÷ {23 − 3 × (12 − 22 − 16)}]

120−96×[5 ÷ {23 − 3 × (-26)}]

120−96×[5 ÷ {101}]

120−96×[0.0495]

115.248

Just remember PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Answer:

y = - x + 1

Step-by-step explanation:

Slope = 2/-2 = -1

y-intercept: 1

y = -x + 1

Answer:

y = -x + 1

Step-by-step explanation:

Given the points (2, -1) and (0, 1):

Let (x1, y1) = (2, -1)

(x2, y2) = (0, 1)

Substitute these values into the slope formula:

m = (y2 - y1)/(x2 - x1)

m = [1 - (-1)] /(0 - 2)

m = (1 + 1)/ -2

m = 2/-2 = -1

Therefore, the slope, m = -1.

Next, the y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

The ordered pair, (0, 1) represents the y-intercept. Its y-coordinate is the value of b = 1.

Therefore, the linear equation of the graph in slope-intercept form is:

y = -x + 1

Answer:

it is 14

Step-by-step explanation:

if X=14 then Y=84

Answer:

Step-by-step explanation:

Ratio of angles = 2 : 3 :5

Angles are 2x , 3x , 5x

Sum of all angles of triangle = 180

2x +3x + 5x = 180

10x = 180

  x = 180/10

x = 18

2x = 2*18 = 36

3x = 3*18 = 54

5x = 5*18 = 90

Smallest to largest

36 , 54 , 90

Answer:

36°, 54°, and 90°

Step-by-step explanation:

The sum of interior angles of a triangle = 180

Remember: The sum of the interior angles = (number of sides - 2)(180)

2:3:5 means 2x:3x: 5x

2x + 3x + 5x = 180

10x = 180

x = 18

The angles are 2(18) = 36°

                          3(18) = 54°

                          518) = 90°

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

arrange the numbers in the other of magnitude

:

2.4,3.3,5.2,5.8,7,7.6,8.4,8.6,9.7

then check for the middle number(s)

median = 7

Answer:

[tex]x = \frac{-3}{2} \\or \\x = -\frac{3}{2}\\or\\-1.5[/tex]

Step-by-step explanation:

2x = -3

divide 2 from both sides

[tex]x = \frac{-3}{2} \\\\or \\x = -\frac{3}{2}[/tex]

Answer:

x=-1.5

Step-by-step explanation:

1. Divide on both sides to get the x alone; -3 divided by 2 is -.15 or -3/2

Answer:

Step-by-step explanation:

Greatest common factor (GCF) of 22 and 44 is 22.

GCF(22,44) = 22

We will now calculate the prime factors of 22 and 44, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22 and 44.

Answer:

The answer can be literally anything.

Step-by-step explanation:

The answer can be literally anything. I can see most of the answers says 3 but, that is only one of the solutions. It is the answer when questions defines the relationship as number of characters, but the question never says that. All it says is, find me a relation which satisfies few values, and then find the relationship value at a new point.

Let us start by examining the question. So here is the question in mathematical terms:

Given:

f(1)=3, f(2)=3, f(3)=5, f(4)=4 and f(5)=4

Find f(6).

So if we assume the function to be f(x) then we know its value at 5 points.

Let’s say f(6)=K, so now we know it’s value at 6 points.

Now, given the value of a function at N points, we can always find a (N-1) degree polynomial which will be that function.

Now, you can put whatever value of K you want, and you will get corresponding set of coefficient vector which will satisfy the function values at the given points.

On a side note, I don’t consider this puzzle a good puzzle, since most of the people asking it expect only 3 as answer. They basically want you to limit the way you think, in a particular direction, which I think is not a very great idea.

Resource: http://mth.bz/fit/polyfit/findcurv.htm#06

It concludes that 6 = 3 for the given pattern, because in "six" has "3" letters.

A pattern is a recurring series of occurrences or elements that can be used to identify and categorize various forms of data or information.

As per the question,

1=3

2=3

3=5

4=4

5=4

If we write "1" in a word then we will write "one" and if we count the letter it will give us "3".

If we write "2" in a word then we will write "two" and if we count the letter it will give us "3".

If we write "3" in a word then we will write "three" and if we count the letter it will give us "5".

Similarly, if we write "6" in a word then we will write "six" and if we count the letter it will give us "3".

Hence, 6 = 3.

Learn more about the pattern of numbers here:

https://brainly.com/question/10943425

#SPJ2

Answer:

-1 and -6.

Step-by-step explanation:

-1 and -6

-1*-6 = 6

-1 + (-6) = -1-6= -7.

Answer:

I'll assume "position 7" refers to distance and not to the order of other people.  

Step-by-step explanation:

We want an equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).  We can assume that "claps" is a new measure of distance.  0 claps is the finish.

Let's express the information provided in point format.

"At 2 claps, Joe is in position 7"  is (2,7)  2 is the distance (claps) and 7 is the time (minutes)

And we can say the rate is also the slope of a line.  "rate of 3 claps per minute" is 3c/m, where c is claps and m is minutes.

We can start a line equation by stating y = 3x + b, where we're using the rate, 3 c/m, as the slope, m.

We need to determine the value of b.  We can use the given point (2,7) and solve for m:

y = 3x + b

7 = 3*(2) + b

b = 1

The equation becomes y = 3x + 1

y is the distance in claps and x is the time in minutes.

At a time of 2 claps he is at position of 7.  b = 1 means he started 1 clap further from the finish at 0 claps.

To find the time required to reach the finish, we need to know the total distance, in claps.

Answer:

2

Step-by-step explanation:

hope this helps

Simplifying Expressions Using the Properties of Exponents (Four Examples)Daniel Ozimek

Answer:

(3, 6)

(0, -1/2)

Step-by-step explanation:

in a function like f(x)

The f() represents the function and the x represents the x value you plug into the function. f(x) is the same as the y value, it is just used to show what the y value would be at a certain x value for that function

_____

f(3) = 6 means when the function f is at x = 3, the function, f = 6.

so it would be (3, 6)

g(0) = -1/2 means the function g is at x = 0, the function, f = -1/2.

so it would be (0, -1/2)

Answer:

move all terms to the left side and set equal to zero. Then set each factor equal to zero.

[tex]y= n + m/ b-a[/tex]

Step-by-step explanation:

Answer: it's not a typo its a formula

hope this helps

brainliest?

Answer:

In the first equation, it's H20 but the second is B

2Mg + 2O2

here are the answers for both questions on this slide as of edge 2021, the 2nd is the one asked here.

1. 2KClO3 → 2KCl + ?

2Na + Cl2 → ?

A.) 2NaCl

2. MgO + ? → Mg(OH)2

2MgO → ?

B.) 2Mg + O2

Answer:

b= 3a-c

Step-by-step explanation:

Solve for b.

a= 1/3(b+c)

multiplying both sides by 3.

3a= b+c

subtract c from both sides.

3a-c=b

or

b= 3a-c

Answer:

b= 3a-c

Step-by-step explanation:

Solve for b.

a= 1/3(b+c)

Multiplying both sides by 3.

3a= b+c

Subtract c from both sides.

3a-c=b

or

b= 3a-c

Answer: See attached image for graph

PQ: √50

QR: √18

PR: √68

Step-by-step explanation: We will use the 2D distance formula in order to get each side length. The distance formula is:

Thus, we just apply this formula for each side length.

Answer:

12.35

Step-by-step explanation:

Answer:

12.35

Step-by-step explanation: