Finding a probability a movie complex is showing three action films and three comedy films. you randomly select two
different films to watch. find the probability that you select a comedy to watchsecond given that you randomly selected a
comedy to watch first

Answer:

[tex]f'(x)=\displaystyle -\frac{e^x}{(1+e^x)^2}\cos\biggr(\frac{1}{1+e^x}\biggr)[/tex]

Step-by-step explanation:

Recall the power series [tex]\sin(x)=\displaystyle \sum\limits^\infty_{n=0}(-1)^n\frac{x^{2n+1}}{(2n+1)!}[/tex].

In this case, [tex]x[/tex] is replaced with [tex]\displaystyle \frac{1}{1+e^x}[/tex], so our power series actually works out to be [tex]\displaystyle \sin\biggr(\frac{1}{1+e^x}\biggr) =\sum\limits^\infty_{n=0}(-1)^n\frac{\bigr(\frac{1}{1+e^x}\bigr)^{2n+1}}{(2n+1)!}[/tex]! Amazing, huh?

Now, we find the derivative of the function by using the chain rule:

[tex]\displaystyle \frac{d}{dx}\sin\biggr(\frac{1}{1+e^x}\biggr)=\frac{d}{dx}\biggr(\frac{1}{1+e^x}\biggr)*\cos\biggr(\frac{1}{1+e^x}\biggr)=-\frac{e^x}{(1+e^x)^2}\cos\biggr(\frac{1}{1+e^x}\biggr)[/tex]

You didn't specify if you just wanted the derivative of the series to be a function or a series, so I'm going to assume you want the function. Let me know if there's more to your problem.

Answer:

it 5

Step-by-step explanation:

Answer:

x=-10

Step-by-step explanation:

2(x+3)=x-4

2x+6=x-4

-2x   -2x

6=-x-4

+4    +4

10=-x

-1    -1

-10=x

[tex] \Large{\boxed{\sf x = 10}} [/tex]

[tex] \\ [/tex]

Given equation:

[tex] \sf 2(x + 3) = x - 4 [/tex]

[tex] \\ [/tex]

Expand the left side using the following distributive property:

A(B + C) = AB + AC

[tex] \\ [/tex]

Here, A = 2, B = x, and C = 3.

We get:

[tex] \sf 2(x) + 2(3) = x - 4 \\ \\ \sf 2x + 6 = x - 4 [/tex]

[tex] \\ [/tex]

Now, subtract 6 from both sides:

[tex] \sf 2x + 6 - 6 = x - 4 - 6 \\ \\ \sf 2x = x - 10 [/tex]

[tex] \\ [/tex]

Subtract x from both sides :

[tex] \sf 2x - x = x - 10 - x \\ \\ \\ \boxed{\boxed{\sf x = -10}} [/tex]

[tex] \\ \\ [/tex]

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Answer:

3.25\

Step-by-step explanation:

Answer:

$2.52

Step-by-step explanation:

u have to at the lb. and the $ and which will give u more for a less price so we x out $5.53 and then 5.13.now all you have left is 2.52 and 3.37 and 3.37 is more than 2.52 and 2 lb. is more ik but u save more money by buying 1.5 lb.

hope this helps:)!!

Answer:

[tex]f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]

Step-by-step explanation:

Complete the square

[tex]f(x)=x^2-5x+8\\\\f(x)-1.75=x^2-5x+8-1.75\\\\f(x)-1.75=x^2-5x+6.25\\\\f(x)-1.75=(x-2.5)^2\\\\f(x)=(x-2.5)^2+1.75\\\\f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]

To find the degrees of freedom in the given question, we have to take into consideration of the confidence interval as well as degrees of freedom. The critical t-value in this data set is 2.086

This is the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.

We can also say that it is a range of values so defined that there is a specified probability that the value of a parameter lies within it.

Data;

At a 95% confidence level, the t is

α   =  1  -   0.95

The critical t-value in this data set is 2.086

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Answer:

[tex]x = - 5 [/tex]

Step-by-step explanation:

To work out this question you have to first cross multiply.

[tex] \frac{2}{5} = \frac{(x - 3)} {(7x + 15)} \\ \\ 2(7x + 15) = 5(x - 3)[/tex]

When you cross multiply you will get the equation above. Therefore

[tex](2 \times 7x) + (2 \times 15) = (5 \times x) \\ - (5 \times 3) \\ \\ 14x + 30 = 5x - 15 \\ \\ 14x - 5x = - 30 - 15 \\ \\ 9x = - 45[/tex]

Therefore

[tex] \frac{9}{9} x = \frac{ - 45}{9} \\ \\ x = - 5[/tex]

Answer:

x = -5

Step by step:

multiply both side by 7x + 15.

2/5 (7x+15)= x − 3

Simplify 2)5 (7x+15) to 2(7x+15)/5.

2(7x+15)/5= x - 3

multiply both sides by 5.

2(7x+15)= 5x - 15

Expand.

14x+30= 5x - 15

subtract 5x from both sides.

14x+30−5x= − 15

Simplify 14x + 30 - 5x14x + 30−5x to 9x + 309x + 30.

9x+30= - 15

Subtract 30 from both sides.

simplify

x = -5

Answer:

Width = 7 inches

Length = 23 inches

Step-by-step explanation:

Let :

Equating to area :

Dimensions are :

Answer:

Length: 23 inches

Width: 7 inches

Explanation:

As length measure cannot be negative. Width is +7 inches

Length: 2w + 9 = 2(7) + 9 = 14 + 9 = 23

Answer:

y = x+8

Step-by-step explanation:

You find the difference between the value of y and value of x which is 8 so no matter what x is you always add 8 to get the y value. :)

Answer:

y = x + 8

Step-by-step explanation:

Find the difference between each x and y-value :

Let's take the pair (18, 26)

Answer:

2,265.60 ft/hr

Step-by-step explanation:

168ft/6min = 28ft/min * 60min= 1,680ft/hr

472ft/12.5min= 37.76ft/min * 60min= 2,265.60ft/hr

Answer:

Step-by-step explanation:

(x−2)2+(y−1)2=9

This is the form of a circle. Use this form to determine the center and radius of the circle.

(x−h)2+(y−k)2=r2

Match the values in this circle to those of the standard form. The variable r

represents the radius of the circle, h represents the x-offset from the origin, and k

represents the y-offset from origin.

r=3

h=2

k=1

The center of the circle is found at (h,k)

.

Center: (2,1)

These values represent the important values for graphing and analyzing a circle.

Center: (2,1)

Radius: 3

Answer:

y = 45,121,040×1.027^t

Step-by-step explanation:

An exponential growth equation is generally of the form ...

 value at time t = (initial value)(growth factor)^t

where the growth factor is the multiplier for a period equal to one time unit.

Here, the initial value (in 2014) is 45,121,040. The growth factor is given as 1.027 (2.7% added per year), and we can define t as the number of years after 2014. Then our equation is ...

 y = 45,121,040×1.027^t . . . . where t = years after 2014

Answer:

Step-by-step explanation:

So whenever you see alphabets in math, these are called variable. Like the word suggests, variables can have different values depending on the problem.

For the first problem, the variable k equals 10, and the question asks you when k=10, what does that make k+26. All you do is substitute the value of k with the given value of k=10, and you get 10 + 26 = 36.

This way you can solve the rest of them.

Ask me if you get confused and we can work on rest of them.

Answer:

Step-by-step explanation:

Q1

Q2

Q3

Q4

Q5

Q6

Answer:

Step-by-step explanation:

(4x^4 - 1)(4x^4 + 1)

(2x^2 - 1)(2x^2 + 1)(4x^4 + 1)

Answer:

   39. (4) 4 1/16

Step-by-step explanation:

Simplifying

Substituting x = 4

The probability of drawing a number card and then number card without replacement is 105/221 option first is correct.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The total number of cards = 52

Total number of cards printed number on it = 36

The probability of drawing a number card and then number card without replacement:

[tex]= \rm \dfrac{36}{52}\times \dfrac{35}{51}[/tex]

= 1260/2652

= 105/221

Thus, the probability of drawing a number card and then number card without replacement is 105/221 option first is correct.

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Answer:

(x - 2) is not a factor of Q(x)

Step-by-step explanation:

if (x - h) is a factor pf f(x) then f(h) = 0

if (x - 2) is a factor of Q(x) then Q(2) = 0

Q(2) = 2² - 3(2)² - 4(2) + 12

       = 4 - 3(4) - 8 + 12

       = 4 - 12 + 4

       = - 8 + 4

       = - 4

since Q(2) ≠ 0 then (x - 2) is not a factor of Q(x)

However , if the polynomial was meant to be

Q(x) = x³ - 3x² - 4x + 12 , then

Q(2) = 2³ - 3(2)² - 4(2) + 12

       = 8 - 12 - 8 + 12

       = 0

then (x - 2) is a factor of Q(x) = x³ - 3x² - 4x + 12

Answer:

Step-by-step explanation:

1,)

3x+y=4 <-Equation 1

2x-y=6 <-Equation 2

Step 1 Eliminating Y Multiply negative both side

-[3x +y = 4 ] -

-3x-y = -4 <-Equation 3

Equation 2 to Equation 3

2x-y=6

-

-3x-y = -4

= 5x = 10

x =2

Substituting X to Equation 1

3x+y=4

3(2) + y =4

6 + y = 4

y = -2

Therefore x =2 and y = -2

Answer:

The set of points equidistant from a given point (the center). Radius : A segment with endpoints at the center and on the circle.

Step-by-step explanation:

To find the perimeter of a shape you add all the side lengths together.

Perimeter of A is 20cm because 7+7+3+3=20

Perimeter of B is 27cm because 9+8+10=27

Perimeter of C is 17cm because 6+6+5=17

Perimeter of D is 34cm because 10+10+4+4+3+3=34

On shape E there is one side length that we do not know. To find that do 8-3=5 because 5+3 would be the opposite side of the 8. Now do 5+8+8+4+12+3=40 cm which is the perimeter of shape E.

I hope this helps you have a good day

Answer:

There is a slight difference but the result is the same.

In the notation ddx(y) the ddx part is an operator which says ‘the function which is the differential with respect to x of ⋯’ and y is the function being operated on. The ddx and y are two separate entities in this notation.

In the notation dydx we mean the function that is the result of differentiating the function y with respect to x. In this case, there is only a single entity: dydx.

Both notations mean ‘the function which is the differential of function y by x

Answer:

60%

Step-by-step explanation:

Percent means per hundred. Change to "per hundred"

3/5 = 6/10 = 60/100

3/5 is 60%

OR

Divide 3/5 means 3÷5...

3÷5 = .6

Change decimal to percent by multiplying by 100.

.6 × 100 = 60

60%

Answer:

60%

Step-by-step explanation:

well if they only finished 3/5 it’s going to be

60/100 = 60%

Answer:

7.1

Step-by-step explanation:

To round 7.09 to the nearest tenth, you must use the hundredths' place value of 7.09, which is 9 and equal or more than 5. Therefore, the tenths value of 7.09 increases by 1 to 7.1.

Answer:

:

Answer:the radius would be 88cm

Step-by-step explanation:

radius. r = base circumference. C = volume. V = curved surface area.

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

u know that the left triangle is not a right angles triangle so u cannot do Pythagoras and 27 is the other bottom side meaning that the length of the left triangle base is 20.25

Answer:

area: 165yd^2 perimeter:26yd or 33yd

Step-by-step explanation:

11ydx15yd= 165yd^2

11yd+15yd=26yd

Answer:

56.1, 36.2

Step-by-step explanation:

For this we need to use the Pythagorean Theorem, which is a^2+b^2=c^2. We have our a and c values, so we can make the equation 11^2+b^2=15^2, or 121+b^2=225. Next, we isolate b.

121+b^2=225

-121         -121

___         ___

0             104

b^2=104

Now, we have to find the square roots of both sides. If we do this, we get b= 10.2.

Now, we can find our perimeter:

11+15+10.2= 36.2

For area, the formula is 1/2(b)h (1/2 times the base and height), so:

1/210.2=5.1

5.1*11=56.1

Hope this helps!

Answer:

Perimeter = 18(1 + √3 ) cm

Step-by-step explanation:

The radius of each ball = 1/2 * 6 = 3 cm.

Lines drawn from the 2 points of contact for one billiard ball to the center of the ball are at right angles to the sides of the triangle ( Tangent/radius theorem).

If we now draw a line from the vertex of the big triangle to the center of the ball we get 2 right triangles, and they are 30-60-90 triangles.

If the adjacent side of a triangle  ( which is part of the side of the big triangle) = x:

tan 30 = 3 / x

x = 3 / tan 30

=  3 / 1/√3

=   3√3 cm.

There are 6 of these sides in the big triangle so their total length =

18√3 cm.

The three 'middle' sides joining 2 billiard balls  each have a length of  2 radii = 6 cms   ( as they form a rectangle with the radii of 2 billiard balls).

So the perimeter of the triangle = 18√3 + 3(6)

= 18(1 + √3 ) cm

I would have liked to transfer a diagram but I can't get to copy it to this site.

The probability that if you sell 160 tickets for your flight, more passengers will show up than there are seats available is 0.02

The scenario meets the following requirements

The given parameters are:

n = 160

p = 0.91 i.e. 91%

x = 152

The distribution is a binomial distribution, and it is calculated using:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n -x}[/tex]

The probability is represented as:

P(x > 152) = P(153) + ..... P(160)

Using a technology tool, we have:

P(x ≤ 152) = 0.02

Probability values less than 0.25 are unlikely probabilities.

Because the probability value 0.02 is less than 0.25, then we can conclude that it is a wise business practice to oversell your flight in this manner.

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The number -1.28 is rational if it is an integer or decimal, so yes it is.

Answer:

we have 1.28 with bar above 28 signifying that the number can also be written as 1.28282828 The mixed number is then equal to,

1 and 28/99 or 1 and 28 over 99

Therefore, the answer to this item is the second choice.

Step-by-step explanation:

My brother helped me with this one