18. what is the condition number of the n-by-n identity matrix?

According to the information, the 95% confidence interval for the proportion of Americans who drink tea daily is approximately (0.2485, 0.2766). The margin of error is approximately 0.0140.

To construct a confidence interval for the proportion of Americans who drink tea daily, we can use the formula:

Where,

p = the sample proportion

Z = the critical value corresponding to the desired confidence level

n = the sample size

Given:

Now, let's calculate the confidence interval and margin of error:

According to the information, the 95% confidence interval for the proportion of Americans who drink tea daily is approximately (0.2485, 0.2766), with a margin of error of approximately 0.0140.

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the exponent of the product of 8.9 x 10¹² and 4.7 x 10⁻² in scientific notation is 11.

Exponential refers to a mathematical function or relationship in which a variable (such as x) is raised to a constant power (such as 2, 3, or e) to produce a result. The term "exponential" can also be used more broadly to describe any situation in which something grows or changes at an increasingly rapid rate over time, often with a compounding effect.

First, we multiply the two numbers:

(8.9 x 10¹²) x (4.7 x 10⁻²) = 41.83 x 10¹⁰

41.83 x 10¹⁰ = 4.183 x 10¹¹

Therefore, the exponent of the product of 8.9 x 10¹²and 4.7 x 10⁻² in scientific notation is 11.

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Answer:

Difference= $25.28

Step-by-step explanation:

Giving the following information:

She took $48.95 with her to spend. She spent $23.57 at one store.

To calculate the money she has left, we need to use the following formula:

Difference= total amount of money - money spent

Difference= 48.95 - 23.57

Difference= $25.28

The algebraic expression which correctly represents the word phrase; 7 minus the cube of a number as given in the task content is; 7 - x³.

It follows from the task content that the algebraic expression which correctly represents the word phrase; 7 minus the cube of a number as given in the task content be determined.

On this note, since the number in discuss is given and represented by; x in the task content. Hence, the cube of the number is; x³.

The word phrase; 7 minus the cube of a number can therefore be represented as;

7 - x³.

Ultimately, the algebraic expression which correctly represents the word phrase; 7 minus the cube of a number as given in the task content is; 7 - x³.

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Answer:

162.3 in^2

Step-by-step explanation:

C=2πr=2·π·25.83≈162.29468in

In interpreting effect size, the meaning of effect size at 0.3 is small effect size. So, the correct answer is A).

In interpreting effect size, an effect size of 0.3 is typically considered to be a small effect size. This means that there is a small but still measurable difference or relationship between two variables.

The interpretation of effect size can vary depending on the context and the discipline in which it is being used, but as a general rule, effect sizes of 0.2 or smaller are considered small, effect sizes of 0.5 are considered medium, and effect sizes of 0.8 or larger are considered large. Therefore, an effect size of 0.3 falls in the small effect size range. So, the correct option is A).

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Answer:

120.5 is your answer

Step-by-step explanation:

Answer:

38/35

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1) = (56 - (- 20))/(81 - 11) = 76/70 = 38/35

Answer:

\( = \frac{38}{35} \)

Step-by-step explanation:

\((81 \: \: \: , \: \: \: 56) = > (x1 \: \: \: ,\: \: \: y1) \\ (11 \: \:, \: - 20) = > (x2 \: \: \: ,\: \: y2)\)

\(slope = \frac{y1 - y2}{x1 - x2} \\ = \frac{56 - ( - 20)}{81 - 11} \\ = \frac{56 + 20}{70} \\ = \frac{76}{70} \\ = \frac{38}{35} \)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

it has 1 solution

Step-by-step explanation:

60° triangle can be calculated in radians as π/3 radians.

60 degree angle is an acute angle in geometry and is expressed as π/3 in radians. Each angle in an equilateral triangle is equal to 60 degrees.

A 60-degree angle is an acute angle since angles less than 90 degrees are considered acute. In the case of a geometric angle, the arc is confined by the sides and is centered at the vertex. When rotated, the arc is centered in the center of rotation and is limited to any other point and its image.

Thus, 60° triangle can be calculated in radians as π/3 radians.

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The linear functions y = 1/5x + 7, y = -2x - 17 ,y = -1/4x - 15, y = 1/2x - 3 and y = 12/5x are represented in the graph attached below

Linear function graph has a straight line whose expression or formula is given by; y = f(x) = px + q. It has one independent and one dependent variable. The independent variable is x and the dependent one is y. P is the constant term or the y-intercept and is also the value of the dependent variable.

To find points of a function, we can choose input values, evaluate the function at these input values, and calculate output values. The input values and corresponding output values form coordinate pairs. We then plot the coordinate pairs on a grid. In general we should evaluate the function at a minimum of two inputs in order to find at least two points on the graph of the function. For example, given the function f(x) = 2x, we might use the input values 1 and 2. Evaluating the function for an input value of 1 yields an output value of 2 which is represented by the point (1, 2). Evaluating the function for an input value of 2 yields an output value of 4 which is represented by the point (2, 4). Choosing three points is often advisable because if all three points do not fall on the same line, we know we made an error.

In the equations given, we can plot them on a straight line graph to determine the points of intersection.

The equation of line are

y = 1/5x + 7

y = -2x - 17

y = -1/4x - 15

y = 1/2x - 3

y = 12/5x

Kindly find the attached graph below

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Answer:

do it like the alphabet

Step-by-step explanation:

Answer:   D

d. because they are not subtracted(C), the two fractions do not add up to 13(B), and the number is not equal to 2(A).

Answer:

(2, -3)

Step-by-step explanation:

x= -3y-7    

5x+6y=-8  

1. Substitute x= -3y-7 into 5x+6y=-8 which becomes

5(-3y-7)+6y=-8

2. expand the brackets

-15y-35+6y=-8

3. simplify the equation

 -9y-35=-8

4. from this we can find the value of y by adding 35 on each side and then dividing by -9 on each side

-9y=27

y=-3

5. so, the value of y is -3 to find the value of x we just substitute the value of y (-3) into the x=-3y-7

x= -3(-3)-7

expand the brackets and simplify the expression

x=9-7

x=2

6. so the value of x=2

7. your final answer will be (2, -3)

best predicted value of y for x = 4.25 is 12.75 .we can use the regression equation y = 3x to find the predicted value of y for any given value of x.

If we assume that the value of x is not given and we want to find the predicted value of y for the average value of x, then we can use the formula for the mean of x and y values to find the average value of x:

x= (x1 + x2 + x3 + x4) / 4

Similarly, we can find the average value of y:

y= (y1 + y2 + y3 + y4) / 4

We are given that y = 12.75, so we can use the regression equation to solve for x:

y = 3x

x = y / 3

x = 12.75 / 3

x = 4.25

we have the value of x, we can use the regression equation to find the predicted value of y

y = 3x

y = 3(4.25)

y = 12.75

Therefore,  best predicted value of y for x = 4.25 is 12.75.

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Answer: 7.07in²

Step-by-step explanation:

To find radius,

2πr = 3π

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

r = 1.5

To find area,

A = πr²

= π × 1.5²

= (2.25π)in²

= 7.07in² (3sf)

True. The statement "if the range of feasibility indicates that the original amount of a resource, which was 20, can increase by 5, then the amount of the resource can increase to 25" is true.

When a range of feasibility is given, the lower and upper bounds of the values that can be chosen for the variables in a linear programming problem are given. The range of feasibility reflects the range within which the optimum answer can be found. It is a parameter that measures the extent to which the variables can change and still allow the same optimal answer to be obtained. In this case, the range of feasibility suggests that the initial amount of a resource was 20 and could be increased by 5, implying that the total amount of the resource can be 25. Therefore, statement is true.

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The equation of line parallel to y = -3 passing through (2,6) is y = 6

The slope-intercept form of straight line is used to find the equation of line. It is given as y =mx + b

where m is a slope of line

b is y-intercept

According to the question,

The required line is parallel to line y = -3

Slope of given line : m₁

m₁ = 0

When two lines are parallel to each other then their slopes are equal

Therefore , slope of required line is m₂ =  m₁ = 0

Also , given that the line is passing through the coordinate (2,6)

So , 6 = 0(2) + b

=> b = 6

Substituting the values of slope and intercept

y = 6 is required equation of line

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Answer:

4

Step-by-step explanation:

Hope this helps

The director of fitness for a large corporation with over 5,000 employees recorded the resting heart rate, in beats per minute (bpm), for 35 employees who were known to wear activity trackers. The following boxplot summarizes the results.

The director wants to estimate the resting heart rate for all employees with a confidence interval. Have all conditions for inference been met?Solution:Yes, all conditions for inference have been met.The given boxplot represents the resting heart rate, in beats per minute (bpm), for 35 employees who were known to wear activity trackers.

As the sample size is greater than 30, we can use the normal distribution to create a confidence interval. Additionally, there are no outliers in the data, which suggests that the data is normally distributed. Therefore, we can conclude that all conditions for inference have been met.

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Answer:

(0,3)

Explanation:

Given the system of equations:

Subtract to eliminate y:

Substitute x=0 to solve for y:

The solution to the system of equations is x=0 and y=3, that is, (0,3).

Phase 5: The system of implementation is conversion.

Option B is the correct answer.

We have,

Phase 5 of the system development life cycle is commonly referred to as "Conversion" or "Systems Implementation."

During this phase,

The focus shifts from planning and designing the system to actually implementing it.

This phase involves the conversion of the old system to the new system, which includes activities such as data conversion, software installation, hardware setup, user training, and system testing.

The term "Conversion" is used because it signifies the transition from the old system to the new system.

It involves migrating data, processes, and operations from the existing system to the new system.

This phase ensures that the newly developed system is successfully integrated into the organization and becomes fully operational.

Thus,

Phase 5: The system of implementation is conversion.

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Answer:

Step-by-step explanation:

\(if A+B=45\\tan(A+B)=tan(45)\\\dfrac{tanA+tanB}{1-tanA.tanB}=1\\ \implies tanA+tanB=1-tanA.tanB\\\frac{1}{cotA}+\frac{1}{cotB}=1-\frac{1}{cotA}\frac{1}{cotB}, \{tanX=\dfrac{1}{cotX} \}\\ cotA+cotB=cotA.cotB-1\\cotA.cotB-cotA-cotB=1.\)

Answer:

x=6

Step-by-step explanation:

/AB/=2x+12

/BC/=5x+10

3x+2=5x-10 subtract 2 from both sides

3x=5x-12 subtract 5x from both sides

-2x=-12 divide both sides by -2x

x =6

The speed of the particle when it is moving parallel to the y-axis is approximately 17.88 m/s.

When the particle moves parallel to the y-axis, its velocity component in the x-direction is zero. Therefore, we need to find the value of t for which the x-component of the velocity becomes zero.

Given that the x-component of the velocity is (2t - 8), we set it equal to zero and solve for t:

2t - 8 = 0

2t = 8

t = 4

At t = 4 seconds, the particle is moving parallel to the y-axis. To determine the speed of the particle at this instant, we calculate the magnitude of its velocity:

v = √[(2t - 8)^2 + ((2/t^2) - 18)^2]

v = √[(2(4) - 8)^2 + ((2/(4^2)) - 18)^2]

v = √[0^2 + ((2/16) - 18)^2]

v = √[0 + (-17.875)^2]

v ≈ 17.88 m/s

Therefore, the speed of the particle when it is moving parallel to the y-axis is approximately 17.88 m/s.

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There are a total  of 66361680 sequences of length 6 formed from the 26 letters without repetition are there where the vowels  may only appear in the first or/and last positions (possibly neither).

Since the total number of  vowels are:5, the remaining alphabets: are 26-5 =21, so the number of letters for a word to be formed is 6 .No. of ways of length 6 formed with no vowels in it  from the 26 letters without repetition:  21* 20*19*18*17*16  = 39070080 , now for the case of   With vowels at first and last place, No. of ways of putting 2 vowels on first and last place of 6 letter word without  repetition will be: 5*4= 20 .So, No. of ways of filling the  left 4 positions without repetition and  no vowels:21* 20*19*18: 143640 .

Therefore the number  of ways the word is formed with   6 letters   with both vowels  without repetition: 143640 * 20 = 2872800

Now for the  case with a vowel in the first place, No. of ways of putting 1 vowel in the first place of 6 letter word with no repetition = 5 ,So, Number of ways of filling 5 places without repetition and  no vowels :

= 21* 20*19*18*17 = 2441880 ,Therefore, the number  of ways in a word  of  6 letters is formed  with a vowel at first place without repetition:  2441880* 5 =12209400

Now for the case with a vowel in last place, Number  of ways of putting 1 vowel in the last place of 6 letter word without  repetition = 5

So, Number f ways of filling 5 places without repetition with no vowels :

=  2441880 ,Number  of ways of filling 5 places without repetition with no vowels  = 2441880* 5 =12209400

The total number of sequences of length 6 formed from the 26 letters without repetition are there where the vowels  may only appear in the first or/and last positions (possibly neither)  is

= 39070080+2872800+12209400+12209400

=66361680

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to  know more

false

Step-by-step explanation:

false

Answer:

x=15

Step-by-step explanation:

30°=5

60°=10

SO right angle 90°=15

Answer:

if it is a square it would be 36

Step-by-step explanation: