How many of these functions have an end behaviour of x---> infinity , f(x) ---> infinity

The sample should be taken to provide a 95% confidence interval is 200.

A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.

Confidence is another name for probability in statistics.

Given the planning value for the population proportion,

probability, p = 0.25

q  = 1 - p = 1 - 0.25

q = 0.75

margin of error = E = 0.06

value of z at 95% confidence interval is 1.96,

the formula for a sample is,

n = (z/E)²pq

n = (1.96/0.06)²*0.25*0.75

n = 200.08

n = 200 approx

Hence sample size is 200.

Learn more about confidence intervals;

https://brainly.com/question/24131141

#SPJ1

Answer:

c

Step-by-step explanation:

Given:

Rate of sales tax = 7%

Marked price of an item = $19.94

To find:

The final cost of the item once tax is included.

Solution:

We have,

Rate of sales tax = 7%

Marked price of an item = $19.94

\(\text{Sales tax}=\dfrac{7}{100}\times 19.94\)

\(\text{Sales tax}=1.3958\)

Now, final cost of the item once tax is included is

\(\text{Final cost}=\text{Marked price}+\text{Sales tax}\)

\(\text{Final cost}=19.94+1.3958\)

\(\text{Final cost}=21.3358\)

Therefore, the final cost of the item once tax is included is $21.3358.

Answer:

8/33 = 0.242

Step-by-step explanation:

There are 12 socks to begin with and one is taken;

The second is picked from the remaining 11 and will either match the first or not;

The probability of matching is 1/11 and 10/11 for not matching;

If the sock matches, no further sock is taken;

If the socks don't match, a 3rd sock is taken;

The 3rd sock is taken from the remaining 10, 1 of which will match with the first sock and another which will match the second;

Therefore, the probability of taking a matching sock on the third pick will by 2/10 or 1/5 and the probability it will not match either of the first two is 8/10 or 4/5;

Once again, if the sock matches either of those previously taken, no further sock is taken;

If the socks don't match, a 4th sock is taken;

Now, there are 9 socks remaining in the drawer;

Picking is repeated;

The process is logical;

The attached picture shows a tree diagram representing this information in an easily digestible way and makes it easy to work out the desired probability;

With tree, diagrams, you just multiply across until you get to your desired outcome;

In this case, we are finding the probability of picking 5 socks exactly;

Each process splitting represents the picking of a sock;

The probability will be:

10/11 × 8/10 × 6/9 × 4/8 = 8/33 = 0.242...

Answer:

6 ft - 2 in

To convert ft into inches, multiply the amount of ft by 12.

6 * 12 = 72

72 in - 2 in

To find a the scale, make a ratio

72:2

This scale can also be made into 36:1 and 144:4 by simplifying

Hope this helped! \ ( O-o) /               :)

                                  /----\

The area of the drawing of the tabletop for this considered case is obtained being of 36 sq. cm

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

\(\rm 1\: ft : \dfrac{s}{k}\: in.\)

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

For this case, we're given that:

The tabletop is square, so would be its drawing.

Let the side of the original tabletop be 'a' inches, then:

Area of the tabletop:

\(a^2 = 1296\\a = \sqrt{1296} = 36\) inches.

Since each side of the tabletop is converted by the scale 6 in. to 1 cm in drawing, so we get converted side length of the tabletop in drawing as:

6 in -> 1 cm

36 inches = six times 6 inches -> six times 1 cm = 6 cm

Thus, in drawing, the tabletop has 6 cm sides.

Thus, its area is: \(6^2 = 36\) sq. cm

Thus, the area of the drawing of the tabletop for this considered case is obtained being of 36 sq. cm

Learn more about scale factors here :

https://brainly.com/question/8765466

The first five terms of the given sequence are:

C: 18, 30, 42, 54, 66

The formula for the nth term of an arithmetic sequence is expressed as:

aₙ = a + (n - 1)d

where:

a is first term

d is common difference

n is number of term

The formula for the sequence is 12x + 6. Thus:

First term = 12(1) + 6 = 18

Second term = 12(2) + 6 = 30

Third term = 12(3) + 6 = 42

Fourth term = 12(4) + 6 = 54

Fifth term = 12(5) + 6 = 66

Thus, the sequence is : 18, 30, 42, 54, 66

Read more about nth term of sequence at: https://brainly.com/question/7882626

#SPJ1

Answer:

dont know need points sorry

Step-by-step explanation:

Answer:

I'm confused on what to answer in this. Edit the question and put the question in it and then I will be able to answer it

Answer: Read attachment.

Step-by-step explanation: Attached is my work. Hope it helps!

If my answer was helpful, please mark as brainliest. Or not, it's fine.

Answer:

\(\fbox {f(16) = -10}\)

Step-by-step explanation:

Given :

f(x) = -3/4x + 2

Substitute x = 16 :

f(16) = -3/4(16) + 2

f(16) = -12 + 2

f(16) = -10

To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)

The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)

The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)

Solving for\(\(x\),\) we divide both sides of the equation by 3:

\(\(x = \frac{71}{3}\).\)

Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.

The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:

\(\(x = 2\pi r\).\)

Substituting the value of x we found earlier, we have:

\(\(\frac{71}{3} = 2\pi r\).\)

Solving for r, we divide both sides of the equation by \(\(2\pi\):\)

\(\(r = \frac{71}{6\pi}\).\)

Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.

In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.

For more such questions on triangle.

https://brainly.com/question/17335144

#SPJ8

Option D, The answer to three decimal places p(X, Y).

To find the variance of a random variable X, we can use the formula Var(X) = E[(X - E[X])²], where E[X] is the expected value of X.

To find the variance of Y, we can use the same formula, replacing X with Y.

To find the covariance between X and Y, we can use the formula Cov(X, Y) = E[(X - E[X])(Y - E[Y])].

To find the joint density p(X, Y), we can use the given density function: p(X, Y) = f(X, Y) for all values of X and Y.

Therefore, we can find the answers to the given problems as follows:

a. Var(X) = E[(X - E[X])²] = E[X²] - E[X]^2 = ∫ x² × f(x,y) dx dy - (∫ x × f(x,y) dx dy)²

b. Var(Y) = E[(Y - E[Y]²)] = E[Y²] - E[Y]² = ∫ y² × f(x,y) dx dy - (∫ y × f(x,y) dx dy)²

c. Cov(X, Y) = E[(X - E[X])(Y - E[Y])] = ∫ (x - E[X])(y - E[Y]) × f(x,y) dx dy

d. p(X,Y) = f(X,Y) for all values of X and Y.

It is not possible to find the exact values of these quantities without knowing the specific function f(X, Y). However, if you have a specific function for f(X, Y), you can use the formulas above to find the variance of X, the variance of Y, the covariance between X and Y, and the joint density p(X, Y).

Learn more about the random variables at

https://brainly.com/question/17238189?referrer=searchResults

#SPJ4

The value of measure of x in the triangle is,

⇒ x = 4√3 units

We have to given that,

A triangle is shown in image.

Now, WE can formulate by trigonometry formula we get;

⇒ tan 30° = Opposite / Base

⇒ tan 30° = 4 / x

⇒ 1/√3 = 4/x

⇒ x = 4√3 units

Thus, The value of measure of x in the triangle is,

⇒ x = 4√3 units

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

The correct option is (a) ŷ = -1.34x+21.5 , that is the best model to fit the scatter plot.

A scatter plot (or scatter chart, scatter graph) uses dots to represent values for two(2) different numeric variables. The position of each dot on horizontal and vertical axis indicates values for an individual data point.

The model of the equation best for the plot is,

ŷ = -1.34x+21.5

At point (1,20),

ŷ  = -1.34x+21.5

20 = (-1.34 ×  1) + 21.5

20 ≈ 20.15

At point (3,19),

ŷ = -1.34x+21.5

19 = (-1.34 × 3) + 21.5

19 ≈17.45

At point (5,15),

ŷ = -1.34x+21.5

15 = (-1.34 × 5) + 21.5

15 ≈ 14.75

The model ŷ = -1.34x+21.5   is giving the best estimation.

To learn more about Scatter plot, visit:

brainly.com/question/29231735

#SPJ1

Aircraft A has 312 seats.

Let's assume that Aircraft B has x seats.

According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.

The total number of seats in both aircraft is 519, which can be represented by the equation:

x + (x + 105) = 519

Simplifying this equation, we have:

2x + 105 = 519

Subtracting 105 from both sides, we get:

2x = 414

Dividing both sides by 2, we find:

x = 207

Therefore, Aircraft B has 207 seats.

To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:

Aircraft A = 207 + 105 = 312

Hence, Aircraft A has 312 seats.

for such more question on number of seats

https://brainly.com/question/859564

#SPJ8

Answer:

1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Step-by-step explanation:

We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Answer:

12ft

Step-by-step explanation:

The cube root of -2i,

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

We can represent -2i in polar form as,

r(cosθ + i sinθ)

by computing its magnitude and angle.

The magnitude of -2i is 2

Since the absolute value of any imaginary number is equal to its magnitude.

To find the angle θ,

We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case,

The opposite side is -2 and the adjacent side is 0.

Therefore, we have tanθ = -2/0, which is undefined.

However,

We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.

So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).

Now, we need to find the value of θ/3. Since θ is undefined,

we will represent it as π/2 + 2πn,

where n is any integer.

So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.

Therefore, the cube root of -2i is equal to

⇒  ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]

Now put n = 0

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

This is the final form of the cube root of -2i in the required form.

To learn more about complex numbers visit:

https://brainly.com/question/27940074

#SPJ1

\(\text{Let the number be x,}\\\\~~~~~~4x =x+18\\\\\implies 4x -x = 18\\\\\implies 3x = 18\\\\\implies x = \dfrac{18} 3\\\\\implies x = 6.\\\\\text{The number is 6.}\)

Answer:

6

Step-by-step explanation:

Let the number be " x ".

Four times a number,

4*x = 4x

Number increased by 18,

x + 18

Four times a number is equal to the number increased by 18,

4x = x + 18

Step 1 : Subtract x on both sides

4x - x = 18

3x = 18

Step 2 : Divide 3 on both sides

x = 18/3

x = 6

Hence,

the number is 6.

Answer:

x = 7, y = 45

Step-by-step explanation:

\(7x+13=6x+20\)

\(x=20-13\\x=7\)

Angle

\(7(7)+13=49+13=62^{0}\)

supplementary angle

180 - 62 = 118°

\(3y-17=118\)

\(y=\frac{118+17}{3} =135/3=45\)

Hope this helps

Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

The approximate lateral area of the cone is equal to 200.96 cm².

Mathematically, the lateral area of a cone can be calculated by using this mathematical expression:

Lateral surface area of a cone, LSA = πrl or πr√(r^2 + h^2)

Where

Mathematically, the area of a circle can be calculated by using this formula:

Area of a circular base = πr²

16π = πr²

Radius, r = √16

Radius, r = 4 cm.

Substituting the given parameters into the lateral area of a cone formula, we have the following;

Lateral surface area of a cone, LSA = πrl = πr4(r)

Lateral surface area of a cone, LSA = 3.14 × 4 × 16

Lateral surface area of a cone, LSA = 200.96 cm².

Read more on surface area here: https://brainly.com/question/27812847

#SPJ1

Answer:

201 beause you are rounding to the nearest whole number

Step-by-step explanation:

Jim did not buy any tickets (n_Jim = 0).

Larry bought 7 more tickets than Jim.

To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.

For Larry:

Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:

$170 = 24n + 2

Subtracting 2 from both sides:

$168 = 24n

Dividing both sides by 24:

n = 7

For Jim:

We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:

n_Jim = n_Larry - 12

n_Jim = 7 - 12

n_Jim = -5

Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).

To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:

n_difference = n_Larry - n_Jim

n_difference = 7 - 0

n_difference = 7

Therefore, Larry bought 7 more tickets than Jim.

for such more question on quantity

https://brainly.com/question/29792134

#SPJ8

Question

The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12

Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

Answer:

c

Step-by-step explanation:

Answer:

\(20x+240y/y\)

Step-by-step explanation:

1. Subtract the numbers

2. Evaluate the exponents

3. Subtract the numbers, again

4. Have a great day and thx for your inquiry :)

(-2, 10].

First of all, let's refresh the concepts of domain and range when talking about mathematical functions.

In simple terms, the domain of a function are the values that the function can work with, the allowed inputs, which happen to be the same as values of the common used variable "x", the dependent variable. We can easily tell the domain of a by looking at its horizontal extension, what values of "x" it passes by.

Now, the domain is the total opposite, those are the outputs, or the "y" values that the function returns after evualiating an "x" value. These can be seen by analyzing the vertical extension of the graph, what values of "y" the function can reach.

In the given graph, we may see that the lowest "y" value the graph outputs (vertically) is -2, and we also see that the circle in that number doesn't have a fill color, it's transparent, that means that tne function doesn't contain the value of -2. Therefore, y > -2. Now, on the upper end of the function, we can see that highest "y" value the function can reach is 10, marked with a filled circle, which means that the function contains said value, hence, y ≤ 10.

Now, writting in interval notation, remember that the square brackets "[]" are meant to be used next to a value that the function contains. Also, the parentheses "()" are meant to a value that the function doesn't contain.

Previously, we mentioned that the function doesn't contain value "-2", therefore, we may write:

(-2...

Now, to finish writting the interval, we mentiones that value 10 is contained in the function, hence, we finish writting the interval notation as follows:

(-2, 10].

Final answer: (-2, 10].

When writting in interval notaion, the symbol of infinity "∞" must always be written next to a parenthesis symbol.