what is the confidence interval estimate of the population mean examination score if a sample of applications provided a sample mean (to the nearest whole number

Please provide the complete parametric equations r(t) = ⟨x(t), y(t), z(t)⟩ to calculate the curvature.

Mathematical formulas known as parametric equations specify a point's coordinates in terms of one or more independent variables known as parameters. Parametric equations employ separate equations for the x and y coordinates in instead of utilising a single equation to represent points on a graph.

This makes it possible to depict curves and forms in a more flexible way. The path that the point follows can be changed by adjusting the parameter values, which enables the construction of complex curves like ellipses and spirals. Where exact control over curves and motion is necessary, parametric equations have applications in a variety of domains, such as physics, engineering, computer graphics, and animation.

To calculate the curvature, we first need the tangent vector T(t) and its derivative dT/dt. It seems that you may have accidentally left out some parts of the question, specifically the parametric equations for the curve r(t).

Please provide the complete parametric equations r(t) = ⟨x(t), y(t), z(t)⟩ so that I can help you calculate the curvature.

Learn more about curvature here:

https://brainly.com/question/30105924

#SPJ11

The given statement "As the level of confidence increases the number of item to be included in a sample will decrease when the error and the standard deviation are held constant." is False because error increases.

As the level of confidence increases, the required sample size will increase when the error and standard deviation are held constant.

This is because as the level of confidence increases, the range of the confidence interval also increases, which requires a larger sample size to ensure that the estimate is precise enough to capture the true population parameter with the desired level of confidence.

For example, if we want to estimate the mean height of a population with a 95% confidence interval and a margin of error of 1 inch, we would need a larger sample size than if we were estimating the same mean height with a 90% confidence interval and the same margin of error.

The larger sample size ensures that the estimate is more precise and that we have a higher level of confidence that it captures the true population parameter.

To learn more about confidence click on,

https://brainly.com/question/31317533

#SPJ4

The other endpoint of the line segment with the given endpoint and mid point is: (9,15)

We know how to find the midpoint coordinates by the following:

(a + b) / 2 = c, where a and b are the endpoints and c is the midpoint.

Well, in this case, instead of a and b and finding c, we have a and c, and need to find b. First the x-coordinate:

(3 + b) / 2 = 6

multiply both sides by 2:

3 + b = 12

Subtract both sides by 3:

b = 9

Now the y- coordinate. Follow the same rules as before, start by multiplying by 2:

(3 + b) / 2 = 9

3 + b = 18

Subtract 3:

b = 15

So our missing endpoint is (9, 15).

Learn more about mid point here:

brainly.com/question/18315903

#SPJ4

Answer:

I don't understand the question but I think the answer is either 10 or 30

Answer:

(-1,3)

Step-by-step explanation:

Solve for x in the first equation

3x = 6 - 3y

9x - 5y= -24

Replace all occurrences of x with 2 - y in each equation

9(2 - y) - 5y = -24

x = 2 - y

Simplify the left side

18 - 4y = -24

x = 2 - y

Solve for y in the first equation

-14y = -42

x = 2 - y

y=3

x = 2- y

Replace all occurrences of y with 3 in each equation

x=-1

y=3

(-1,3)

Hope this helps!

Please give brainliest :)

If you need more help with these types of equations reach out to me!

Simplifying

3x + 6 = 9x + -24

Reorder the terms:

6 + 3x = 9x + -24

Reorder the terms:

6 + 3x = -24 + 9x

Solving

6 + 3x = -24 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

6 + 3x + -9x = -24 + 9x + -9x

Combine like terms: 3x + -9x = -6x

6 + -6x = -24 + 9x + -9x

Combine like terms: 9x + -9x = 0

6 + -6x = -24 + 0

6 + -6x = -24

Add '-6' to each side of the equation.

6 + -6 + -6x = -24 + -6

Combine like terms: 6 + -6 = 0

0 + -6x = -24 + -6

-6x = -24 + -6

Combine like terms: -24 + -6 = -30

-6x = -30

Divide each side by '-6'.

x = 5

Simplifying

x = 5

π/16 is the area enclosed by the curve r= sin(4θ)

The given curve is polar curve and hence the area of the polar curve is given by:

Let A be the area of the curve so,

A = \(\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta\)

where a and b is the boundary at which r=0

so after equation r=0

sin(4θ) =0

=> sin(4θ) =0

=> 4θ = 0,π

=> θ = 0, π/4

so a=0 , b= π/4

now  

  A =  \(\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta\)   ------(i)

so   \(r^2\) = (sin(4θ))^2

=>   \(sin^2\)( 4θ )

ans we know that

cos(2α) = 1 -  \(2sin^2\)2 α

so     \(sin^2\)= (1- cos(8θ) )/2

putting the value of r in the equation (i) we get :-

A = \(\int\limits^b_a {\frac{1}{4} *(1-cos8\theta) } \, d\theta\)

=> 1/4*  \(\int\limits^b_a {(1-cos8\theta) } \, d\theta\)

here a=0 and b=π/4

after putting the value and solving the integral

A = π/16

so A is the area enclosed by r=sin(4θ) is π/16

To know more about polar curve click on below link:

brainly.com/question/1094340#

#SPJ4

Answer:

umm rlly obvious B

Step-by-step explanation:

Its the closest to all the points.

Answer:

Below

Step-by-step explanation:

6.5 x 10^-9   is the same as  65 x 10^-10    now you can add them together (since the exponents are the same ) to get

69.6 x 10 ^-10  which is   6.96 x 10^-9

Answer is 4 because

(-2)-(4)=2

Answer:

-10

Step-by-step explanation:

Answer:

$2.54

Step-by-step explanation:

You divide 28 by 11 and you get 2.54545454545, which you can just sum down to 2.54 (I think thats right)

The process of plotting the parent quadratic function is explained below.

The term parent function is known as a family of functions is a group of functions that have the same degree or the same form.

Here the examples of families of functions include linear functions, quadratic functions, square root functions, and absolute value functions.

And here we  also know that the parent function of any family of functions is the simplest form of the function where the graph does not experience any transformations.

As for example here we have the linear parent function is y=x where the graph passes through the origin and has a slope of 1.

In order to plot the graph, then we must following the below steps:

1) Identify the points of the equation or function.

2) Make the table through it.

3) Now, plot the value on the graph

To know more about function here.

https://brainly.com/question/28193995

#SPJ4

The number of ways is 1 billion.

We are asked to determine the possible number of ways of the social security number that is 9 digits if the numbers can be repeated.

In this case, using fundamental counting, there are 10 possible numbers in each digit that is from zero to nine.

Thus, the number of ways is 10*10*10*10*10*10*10*10*10 equal to 1 billion ways.

Hence the number of ways is 1 billion.

Learn more about fundamental counting click;

https://brainly.com/question/28384306

#SPJ1

The correct interpretation of this confidence interval is that, based on the random sample of 351 diamonds taken from AwesomeGems.com on July 28, 2005, with a confidence level of 95%, the true population mean cost per carat of diamonds purchased from the website is estimated to fall between $5938.42 and $6546.32.

This means that if we were to repeat the sampling process many times and construct confidence intervals using the same method, about 95% of these intervals would contain the true population mean cost per carat. It is important to note that this statement is about the population mean, not any particular diamond's cost, and that this interval only applies to diamonds purchased from AwesomeGems.com on July 28, 2005.

Learn more about interval here:

https://brainly.com/question/11051767

#SPJ11

Answer: I’m pretty sure it is C

Step-by-step explanation:

Answer:

RSP, ZXY

SRP, XZY

RPS, ZYX

Step-by-step explanation:

Obviously, the numbers match each other.

ex. R = 41, Z = 41

Those two have the ability to pair in the same order

Let the distance from Julian's house to his school be d miles. We are to find the value of d given that Julian is late for class by 5 minutes if he walks to school at a speed of 3 mph and arrives at school 16 minutes early when he cycles to school at a speed of 10 mph. So, the distance from Julian's house to his school is 3 miles.

This can be solved using the formula: Time = distance/speed. If Julian walks at a speed of 3 mph to school and is late for 5 minutes, then the time he took to get to school can be expressed as t + 5 / 60 hours. Thus: t + 5 / 60 = d / 3

Also, if he cycles at 10 mph to school and arrives 16 minutes early, then the time he took to get to school can be expressed as t - 16 / 60 hours. Thus: t - 16 / 60 = d / 10

Equating both equations gives: t + 5 / 60 = t - 16 / 60 + 11 / 60

Simplifying gives: d / 3 = d / 10 + 11 / 60

Multiplying both sides of the equation by 30 gives: 10d = 3d + 11d = 11 / 3

Therefore, the distance from Julian's house to school is d = 33 / 11 miles. Simplifying this gives a distance of 3 miles. Therefore, the distance from Julian's house to his school is 3 miles.

For more questions on: distance

https://brainly.com/question/30395212

#SPJ8        

Answer:

C on Ed

Step-by-step explanation:

Answer:

III

Step-by-step explanation:

A function must have 1 y value assigned to each x value.

Answer:

Step-by-step explanation:

equation for inverse variation, meaning x is inversely related to y.

\(y=\frac{k}{x}\)

Where

> k is your constant

>x is your independent variable because you always pick x,'s

>y is your dependent because you pick x and results in a y, therefore it is dependent on x

Evaluating answers:

>not A, nothing is being squared in the equation so not this answer

>Yes B (I think), because k= xy if you bring it over to the other side.

>Yes C (I think),  It is a ratio(fraction) of x

>not D, I don't think it can be ratio of both variables

Answer: I think 48 degrees

Step-by-step explanation: they are both diagonal

hope this helps, have a great day!! :D

Answer:

It is also 48

Step-by-step explanation:

1 and 3 are vertical to each other therefore their degree is both the same.

The magnitude of the vector QP is √73.

To find the component form of the vector QP, we need to subtract the coordinates of point P from the coordinates of point Q. The component form of a vector is represented as (x, y), where x and y are the differences in the x-coordinates and y-coordinates, respectively.

Given that P = (4, 1) and Q = (-4, 4), we can calculate the component form of the vector QP as follows:

x-component of QP = x-coordinate of Q - x-coordinate of P

                 = (-4) - 4

                 = -8

y-component of QP = y-coordinate of Q - y-coordinate of P

                 = 4 - 1

                 = 3

Therefore, the component form of the vector QP is (-8, 3).

To find the magnitude of the vector QP, we can use the formula:

Magnitude of a vector = √(\(x^2 + y^2\))

Substituting the x-component and y-component of QP into the formula, we get:

Magnitude of QP = √((\(-8)^2 + 3^2\))

              = √(64 + 9)

              = √73

Therefore, the magnitude of the vector QP is √73.

In summary, the component form of the vector QP is (-8, 3), and its magnitude is √73. The component form gives us the direction and the magnitude gives us the length or size of the vector.

For more such question on magnitude  visit

https://brainly.com/question/30337362

#SPJ8

The  statemen that is not true among al the statements is that: If a #0 is a real number such that f(a) is a real number and g(a) is a real number, then ( f/ g )(a) is always a real number.

Given data

a #

f(a) is a real number

g(a) is a real number

let f ( a ) = a + 2

let g ( a ) = a  - 2

Where a = 2, the equation ( f  / g) (a) is written as

= ( f  / g) (a)

substituting the values of a we have

= ( 2 + 2 ) / ( 2 - 2 )

= 4 / 0

= infinity

The resulting answer is not a real number, hence the statement that is not true is  If a #0 is a real number such that f(a) is a real number and g(a) is a real number, then ( f/ g )(a) is always a real number.

Read more real numbers here: https://brainly.com/question/155227

#SPJ1

Answer:

t > 12

Step-by-step explanation:

7t > 84 ( divide both sides by 7 )

t > 12

Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

Learn more on interest here: https://brainly.com/question/2151013

#SPJ12

The correlation coefficient that would best describe the line of best fit shown in the scatter plot is 0.9 which is a weak positive correlation.

The statistical concept of correlation describes how closely two variables move in tandem with one another.

We can see that Slope is not near to horizontal, thus Correlation Coefficient will be greater than 0.5

Since the value of X axis is get increased, then the value of Y axis is also increasing.

According to the graph is scattered in such a way that, if we draw a line from the centre, we can observe that as 'x' increases 'y' also increases, then the relation is positive correlation.

Therefore, the given scatter plot shows positive weak correlation with value 0.9 .

To know more about statistics, here

brainly.com/question/23724696

#SPJ2

Answer: x = 3/4

Step-by-step explanation:

1/3x + 3 = 4 - x

Subtract 3 from both sides

1/3x = 1 - x

Then times 3 from both sides

x = 3 - 3x

Add 3x on both sides

4x = 3

Divided by 4, both side

x = 3/4

Answer:

B it is a non-uniform probability model because each color has an equal chance of being selected

Step-by-step explanation:

Developing a uniform probability model by assigning equal probability to all. If we select one student at random from the ten, is that a uniform then student name or grade level or color of their shirt or shoe size or different that the probability model uniform is different so that means the model is a non-uniform

Total distance represented by the simplified expression for which the car was tested equals option c. x² + 2x - 4 .

Total distance drive on flat road = x miles

Total distance drive on downhill =  (x²+ 3) miles

Total distance drive on uphill =  ( x - 7 ) miles

Simplified expression which is equivalent to total distance drive by a car

= Distance drive on ( flat road + downhill + uphill )

= ( x +  x²+ 3 + x - 7 ) miles

= ( x² + 2x - 4 ) miles

Therefore, the simplified expression equivalent to the total distance drive by a tested car is equal to option c.  ( x² + 2x - 4 ) miles.

Learn more about distance here

brainly.com/question/28025121

#SPJ4

The above question is incomplete , the complete question is:

A car company tested a sports car on a road with different inclines. The test driver tested the car by driving a distance of x miles on a flat road,    (x²+ 3) miles downhill, and (x - 7) miles uphill. Which simplified expression is equivalent to the total distance, in miles, for which the car was tested?

a.3x² _ 4

b. 3x² + 10

c. x² + 2x - 4

d. x² + 2x + 10

Answer :

Nope !

Using PEMDAS you can solve this step by step :

  1st solve what's in the parentheses "( 6^2)" :

6 × 6 = 36

  Then solve "36^3" :

36 × 36 × 36 = 46,656

  Next solve the other equation "6^5" :

6 × 6 × 6 × 6 × 6 = 7,776

So, ( 6^2 )^3 ≠ 6^5

If this helps please rate and heart my answer ! :D If not, tell me what I got wrong :3