Assume that a sample is used to estimate a population mean . Find the 99% confidence intervat for a Sample of size 68 with a mean of 65.9 and a standard deviation of 16.5. Enter your answer as an open- interval (low, high)

Answer:

20 1/4

Step-by-step explanation:

We can turn the fractions improper to solve

4 1/2= 9/2, 9/2 is the improper fraction so now we multiply

9/2 x 9/2=81/4, 81/4 is improper and isn't one of the choices so we can change it into a mixed fraction.

81/4 is equal to 20 1/4

Answer:

9

Step-by-step explanation:

12 divided by 4 is 3

3 multiplied by 3 is 3

The maximum area of the rectangle that has a perimeter of 12 meters would be equal to 6x - x^2.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Let x be the length of the rectangle and y be the width of the rectangle

The perimeter of a rectangle = 2( l + b)

                                         12   =   2(x + y)

                                         (x +y) = 6

                                             y = 6- x

The area of the rectangle = length × Width

                                          = x × y

                                          = x ( 6- x)

                                          = 6x - x^2

Learn more about the area;

https://brainly.com/question/1658516

#SPJ4

To determine if a matrix is a linear combination of other matrices, we need to check if it can be written as a weighted sum of those matrices where the weights are scalar values (numbers).

If a matrix can be expressed in this way, it is said to be a linear combination of the other matrices.

For example if we have matrices: A, B & C and we can write matrix D as follows:

Then D is a linear combination of matrices A, B and C. This concept is important in linear algebra as it allows us to express one matrix in terms of others. Making it easier to manipulate & analyze the matrices. A matrix is a linear combination of other matrices if it can be expressed as a weighted sum of those matrices where the weights are scalar values.

Learn more about linear combination brainly.com/question/8881662

#SPJ4

Answer:rational

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

Answer:

Rashida can make 9 cupcakes

With 1 cup of flour, you can make 9 cupcakes.

express in coordinate pairs: (x,y)

h(3) = - 4 ⇒ 3,-4

h( - 2) = 16 ⇒ -2, 16

\(\tt slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{16-(-4)}{-2-3}=\dfrac{20}{-5}=-4\)

equation:

\(\tt y-y_1=m(x-x_1)\rightarrow m=slope\\\\y+4=-4(x-3)\\\\y=-4x+8\)

for h(2):

\(\tt y=-4(2)+8=0\)

h(2) = 0

let's recall that for any expression, its inverse will have its domain as its range and its range as its domain, now that sounds like a mouthful.

Another way to say it is, if the original function has a domain ⅅ and a range ℝ, then its inverse will have a domain of ℝ and a range of ⅅ, so the inverse  (x , y) pairs are pretty much the same as the original but flipped sideways, for example on the function above we have a point at (π , -0.5), so the inverse function will have a point of (-0.5 , π) pretty much the same thing but flipped sideways.  What the hell all that means?

well, if we look above, the ℝange goes up to 0.5 and down to -0.5, so that means the ⅅomain of the inverse is just that, from 0.5 down to -0.5.

New York had the larger population with 1.9 x 10⁷ people. The correct option is B.

To compare the populations of the states, we need to convert all the populations to the same unit of measurement. In this case, all the populations are given in terms of millions (10⁶).

We can see that New York's population is 1.9 x 10⁷, which means 19 million people. Georgia's population is given as 9.6 x 10⁶, which is 9.6 million people. Comparing these two values, it is evident that New York has a larger population than Georgia.

Check the populations of the other states:

Alaska: 7.1 x 10⁵ = 0.71 million people

Wyoming: 5.6 x 10⁵ = 0.56 million people

Idaho: 1.5 x 10⁶ = 1.5 million people

New York's population of 19 million is much larger than any of the other states listed, making it the state with the largest population among the options provided. The correct option is B.

To know more about population, refer here:

https://brainly.com/question/27779235#

#SPJ11

Complete question:

Based on the 2010 census, the population of Georgia was 9.6 x 10^6 people. Which state had a larger population? A. Alaska: 7.1 x 10^5 B. New York: 1.9 x 10^7 C. Wyoming: 5.6 x 10^5 D. Idaho: 1.5 x 10^6

we can conclude that 2.2 is less than 14/4.

what is fraction ?

A fraction is a mathematical representation of a part of a whole or a ratio between two quantities. It is typically represented as a top number (numerator) divided by a bottom number (denominator), separated by a horizontal line.

For example, the fraction 3/4 represents three parts out of four equal parts of a whole. The numerator (3) represents the number of parts, while the denominator (4) represents the total number of parts that make up the whole.

According to the question:
To compare 2.2 and 14/4, we can convert 14/4 to a decimal:

14/4 = 3.5

Now we can see that 2.2 is less than 3.5. Therefore, we can say that:

2.2 < 14/4

Another way to compare them is to convert both numbers to a common denominator. In this case, the common denominator of 2.2 and 14/4 is 10:

2.2 = 22/10

14/4 = 35/10

Now we can see that:

22/10 < 35/10

Therefore, we can conclude that 2.2 is less than 14/4.

To know more about fraction visit:

https://brainly.com/question/29766013
#SPJ1

After comparing the growth rates of f(n) and g(n) and observing the logarithmic function, we can say that f(n) = O(g(n)).

To determine which holds among the given options, let's compare the growth rates of f(n) and g(n).

First, let's analyze f(n):

f(n) = 10log10(100n)

     = 10log10(10^2 * n)

     = 10 * 2log10(n)

     = 20log10(n)

Now, let's analyze g(n):

g(n) = log2(n)

Comparing the growth rates, we observe that g(n) is a logarithmic function, while f(n) is a  with a coefficient of 20. Logarithmic functions grow at a slower rate compared to functions with larger coefficients.

Therefore, we can conclude that f(n) = O(g(n)), which means that option (a) holds: f(n) = O(g(n)).

To know more about logarithmic function, visit:

https://brainly.com/question/30339782#

#SPJ11

From 6 to 7 inches, the rate of change is 0.25.

From 7 to 11 inches, the rate of change is 0.25.

The function is linear.

Mathematically, the rate of change can be calculated by using this formula;

Rate of change, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change, m = (y₂ - y₁)/(x₂ - x₁)

Next, we would determine the rate of change of the value of y with respect to the value of x, with the following points (6, 6.25) and (7, 6.50):

Rate of change, m = (6.50 - 6.25)/(7 - 6)

Rate of change, m = 0.25/1

Rate of change, m = 0.25

From 7 to 11 inches, the rate of change is given by:

Rate of change, m = (7.50 - 6.50)/(11 - 7)

Rate of change, m = 1/4

Rate of change, m = 0.25.

Therefore, the function is linear because the rate of change is the same.

Read more on rate of change here: brainly.com/question/4184462

#SPJ1

The calculated value of x is 2

From the question, we have the following parameters that can be used in our computation:

Dimension of the piece of land = 9.8 by 7.2

Using the above as a guide, we have

Area = 9.8 * 7.2

Evaluate

Area = 70.56

For the square with the side length x, we have

Area = x²

So, the number of squares is

Squares = 70.56/x²

Note that the only factors that can divide 9.8 and 7.2 is 2

This means that

Squares = 70.56/2²

Evaluate

Squares = 17.64

So, the area of each square is 17.64 and the value of x is 2

Read more about areas at

https://brainly.com/question/24487155

#SPJ1

Answer:

1/27

Step-by-step explanation:

The outcomes when rolling a die are 1,2,3,4,5,6

getting less than 3 = 1,2

P( less than 3) = outcomes of less than 3 / total

                        = 2/6 = 1/3

Since the events are independent we can multiply the probabilities

P( less than 3, less than 3, less than 3) = 1/3 * 1/3*1/3 = 1/27

Answer:

The common ratio is 1/2

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

8/16 = 1/2

We can check by the third term by the second term

4/8 = 1/2

Answer:

1/2 for APX

Step-by-step explanation:

Different arrangements of candidates are possible is 210.

Given:

There are 7 students on a team. if they must elect a president, a vice president, and a treasurer.

Number of arrangements = \(7_p_{3}\)

= 7!/(7-3)!

= 7!/4!

= 7*6*5*4! / 4!

= 7*6*5*1

= 42*5*1

= 42*5

= 210

Therefore Different arrangements of candidates are possible is 210.

Learn more about the arrangements here:

https://brainly.com/question/28406752

#SPJ4

The roots of the equation \(x^{2}\)-3x-3=0 by completing the square method are 3.79 and -0.79.

Given that the equation is \(x^{2}\)-3x-3=0.

We are required to find the roots of the equation by completing the square method.

Equation is basically the relationship between two or more variables that are expressed in equal to form. It may be linear equation, quadratic equation,cubic equation and many more depending on the power of the variables that are present in the equation.

The equation is  \(x^{2}\)-3x-3=0.

\(x^{2}\)-3x=3

\((x+3/2)^{2}\)=-(c-\(b^{2}\)/4)

So,

\((x-3/2)^{2}\)=-[-3-\((-3)^{2}\)/4]

\((x-3/2)^{2}\)=-[-3-9/4]

\((x-3/2)^{2}\)=21/4

x-3/2=±\(\sqrt{21}\)/2

x=(\(\sqrt{21}\)+3)/2,(-\(\sqrt{21}\)+3)/2

x=(4.58+3)/2, (-4.58+3)/2

x=7.58/2, -1.58/2

x=3.79,-0.79

Hence the roots of the equation \(x^{2}\)-3x-3=0 by completing the square method are 3.79 and -0.79.

Learn more about equation at https://brainly.com/question/2972832

#SPJ9

Answer:

by completing the square method the answer is 3.79 and -0.79.

Step-by-step explanation:

above

By trigonometric functions we find that the measure of angle A is approximately 0.12π radians.

In this question we have a right triangle, of which the length of two sides are known (AB, BC). We can know the measure of angle A by trigonometric functions:

\(\tan A = \frac{BC}{AC}\)

\(\tan A = \frac{2}{5}\)

A ≈ 0.12π radians

To learn more on trigonometric functions: https://brainly.com/question/6904750

#SPJ1

Answer:

sample

or spot check

Step-by-step explanation:

there are quite a number of different terms that can be used depending on the specific scientific field you are working in.

but "sample" should be the most common one for a random selection of a subset of the whole set.

the correct answer is 4.05

The perimeter of the rhombus LMNO is 48  units

In the rhombus LMNO,

The length of the side LM = The length of the side MN = The length of the side NO = The length of the side ON

Then,

The length of the side LM = 3x - 3

The length of the side MN = x + 7

Both are equal, then the equation will be

3x - 3 = x + 7

Group the like terms

3x - x = 7 + 3

2x = 10

x = 10 /2

x = 5

Substitute the value  in second equation

x + 7 = 5 + 7

= 12 units

The perimeter of the LMNO = 4 × 12

= 48 units

Hence, the perimeter of the rhombus LMNO is 48  units

The complete question is

What is the perimeter of rhombus LMNO ? A) 20 units B) 24 units C) 40 units D) 48 units

Learn more about perimeter of the rhombus here

brainly.com/question/20885093

#SPJ1

Find all possible values of x that make the equation true. There is an infinite number of solutions since x can take on any numerical value from 0 to 9.

To solve this equation, start by adding the two terms with the same variable. 2x + 2x = 4x. Next, add 5 and 3x to both sides of the equation. 4x + 5 + 3x = 4x + 5 + 3x. The equation is now 4x + 3x + 5 = 4x + 3x + 5. Simplify the equation by combining the two terms with the same variable. 7x + 5 = 7x + 5. The equation is now balanced and there are no terms with a variable. This means that there is an infinite number of solutions for x since any number from 0 to 9 can be used to make the equation true.

Learn more about number here

https://brainly.com/question/13583801

#SPJ1

Answer:

Side length of a square game board is 11.916 inches.

Step-by-step explanation:

Answer: 1. 6feet 2.6.25 3.7.5 4.900 it does not anywhere say 6.5.????

Step-by-step explanation:

Answer:

the first one in your life with my name in your company is in fact the

The first option. 100% correct.

\(a_n = 3\cdot a_{n-1}\\\\a_1 = 7\\\\a_2 = 3 a_{2-1} =3a_1 = 3(7) =21\\\\a_3 = 3 a_{3-1} =3a_2 = 3(21) = 63 \\\\a_4 = 3 a_{4-1} = 3 a_3 = 3 (63)=189\\\\7,21,63,189,......\)

It's like a graph, you create a ratio using the x, and y or whichever numbers you're using.

9514 1404 393

Answer:

  A'(-6, 12), B'(12, -3), C'(-3, -6)

Step-by-step explanation:

When the center of dilation is not specified, it is presumed to be the origin (0, 0). When that is the case, dilation multiplies every coordinate value by the dilation factor. For example, the x-coordinate of A is -2. The dilation factor is 3, so the x-coordinate of A' is 3(-2) = -6, as shown in your figure.

The same applies to all of the coordinates. (We assume you know how to multiply by 3.)

On the graph, each point moves to 3 times the original distance from the origin, in accordance with the new coordinates. The result is shown in the attachment.

Answer:

Step-by-step explanation:

Given that :

27% employees managerial position

5% Employee have MBA

59% of managers have MBA

Proportion of employees who either have MBA or are managers :

P(either manager or MBA) = P(Manager U MBA)

= P(manager) + P(MBA) - [P(manager n MBA) * P(Manger)]

P(manager ) = 0.27

P(MBA) = 0.05

P(manager n MBA) * P(Manger) = 0.59 * 0.27 = 0.1593

P(manager) + P(MBA) - [P(manager n MBA) * P(Manger)]

= 0.27 + 0.05 - 0.1593

= 0.1607

Answer:

2.23

Step-by-step explanation:

tune able to find the area you should x one side by the other side to find the area 2.23 * 2.23 equals close to 5 square feet

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg