Why is 9.68 an irrational number

The best statistical technique to use here is a correlation analysis. A correlation analysis is a statistical method that assesses the relationship between two or more variables. Medical researchers believe that there is a relationship between smoking and lung damage.

The data were collected from smokers who have had their lung function assessed and their average daily cigarette consumption recorded. The lung function was assessed in such a way that higher scores represent greater health. Thus, a negative relationship between the variables was expected. A correlation analysis is appropriate in this case to determine the relationship between smoking and lung damage. Correlation analysis is a statistical technique that is used to determine if there is a relationship between two variables and the nature of that relationship.

In this case, the two variables are smoking and lung damage. A negative relationship is expected between the variables, which means that as smoking increases, lung damage decreases. The correlation coefficient will tell us the strength and direction of the relationship between the two variables.

A correlation coefficient of -1 will indicate a perfect negative correlation, whereas a correlation coefficient of 1 will indicate a perfect positive correlation.

A correlation coefficient of 0 will indicate that there is no relationship between the two variables. The correlation coefficient is a measure of the linear relationship between two variables.

The correlation coefficient can range from -1 to 1.

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Answer:

6

Step-by-step explanation:

3x plus 12= 8x -18

subtract twelve on both sides:

3x= 8x- 30

minus 8x on both sides:

-5= -30

divide:6

Answer:

9x6=54 ur welcome:)

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

The perimeter of a rectangle formula is P = 2*Length + 2*Width

The length is the largest side, so it's 9.

The width is the smallest side, so it's 6.

So, our formula would be like this: P = 2*9 + 2*6.

When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.

Quantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.

Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.

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L = 1.3245 is  the legnths of the pen's sides .

What is area and perimeter?

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

The equation for perimeter is 2L + W = 30 ( I'm assuming that the shed takes up one of the Widths, but you can use the Length if you want, it doesn't matter.)

So W = 30 - 2L.

Area = L x W = L (30 - 2L) = 30L - 2L^2.

This is a quadratic equation, easily graphed as a parabola, with a maximum point at L = 1.3245 .

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The distance the person would walk in one hour given the distance walked in 15 minutes is 1/45 miles.

Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.

the distance walked in one hour = 1/3 ÷ 15

1/3 x 1/ 15 = 1/45 miles

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To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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Answer:

A = 135 cm²

Step-by-step explanation:

the area (A) of a trapezium is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂ )

where h is the perpendicular height between the bases b₁ and b₂

here h = 9 , b₁ = 19 , b₂ = 11 , then

A = \(\frac{1}{2}\) × 9 × (19 + 11) = 4.5 × 30 = 135 cm²

Answer:

Where is the number I need to round to?

(Please don't give me a bad rating i'm trying to help :) )

Answer:

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The answer in the attachment may help uh

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Answer:

They are equivalent.

Step-by-step explanation:

Answer:

-9/7

Step-by-step explanation:

A reciprocal is literally just flipping the fraction, so your notmal reciprocal would be 9/7, but in this case it‘s asking for a negative reciprocal, so it would be -9/7

Answer:

A) 0.030

B) 0.026

Step-by-step explanation:

I hope this HELP! :)

(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.

To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.

If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).

If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.

Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).

(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.

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Complete question:

The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.

(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).

c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)

Answer:

since those 2 lines are parrelel that means the angles are the same so

8x+6=4x+38

minus 6

8x=4x+32

minus 4x

4x=32

divide by 4

x=8

Hope This Helps!!!

The value of the x is 11 and the measure of the angle B is 82 degrees.

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

We have:

The angle measurements in the diagram are represented by the following expressions:

Angle A = 8x - 6

Angle B = 4x + 38

By using the vertically opposite angle property in angle B

As we know the alternate exterior angle are equal

8x - 6 = 4x + 38

4x = 44

x =11

Measure of angle B = 4(11) + 38 = 82 degrees

Thus, the value of the x is 11 and the measure of the angle B is 82 degrees.

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Step-by-step explanation:

=2[5+2(8-6)]

=2[5+2(2)]

=2[5+4]

=2×9

=18

Answer: 18

Concept:

When encountering a question that needs to do operations with expressions, using the PEMDAS method will ease the process.

Solve:

Given

2 [5 + 2 (8 - 6)]

Simplify values in the parentheses

=2 [5 + 2 × 2]

Simplify with multiplication

=2 [5 + 4]

Simplify the parentheses

=2 × 9

=18

Hope this helps!! :)

Please let me know if you have any questions

Answer:

9 laps

Step-by-step explanation:

75% of something is the same as three-fourths, or multiplying by 0.75

12 x 0.75 = 9

or you can divide by 4 and then multiply by three if you know what to separate the original number into

12/4 = 3     3 x 3 = 9

The mistake you committed is while transposing -3 from LHS to the RHS you didn't consider its negative sign, which gets carried on with it to the RHS.

-3(x+9) = 21(x+9)=7x=-2 doesnt look like a valid expression of linear equation.

What I understand from your question is,

-3(x+9)=21

⇒(x+9)=7

⇒x = -2

So what's the mistake?

Now, the original linear equation is,

-3(x+9)=21

As -3 is multiplied with the LHS, when we transpose it to RHS, the equation becomes,

x+9=21÷(-3)

⇒x+9 = -7

⇒x= -7-9

    = -16

So, the correct answer is -16.

The mistake you committed is while transposing -3 from the LHS to the RHS you didn't consider its negative sign, which gets carried on with it to the RHS.

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30 ÷ (15÷2.5) + 7

Given: 16 · (4.5 + 3) ÷ 10= ____

First let us do PEMDAS (Parenthesis, Equation, Multiply, Divide. Add, Subtract) upon the given value.

16 · (7.5) ÷ 10 = ____

       120 ÷ 10 = ____

                     = 12

We now understand that the given is equal to the value of 12, now we will calculate each equation with PEMDAS until we find the equivalent value.

20.8 + (3 · 4) ÷ 4 =

   20.8 + 12 ÷ 4   =

          20.8  +  3  =

                            = 23.8

24 ÷ (8 − 4) + 8.2 =

       24 ÷ 4 + 8.2 =

               6 + 8.2 =

                            = 14.2

30 ÷ (15 ÷ 2.5) + 7 =

            30 ÷ 6 + 7 =

                     5 + 7 =

                              = 12

36 ÷ (9 − 4.2) + 3 =

       36 ÷ 4.8 + 3 =

                7.5 + 3 =

                            = 10. 5

It is safe to say the following:

16 · (4.5 + 3) ÷ 10 ≠ 20.8 + (3 x 4) ÷ 4

16 · (4.5 + 3) ÷ 10 ≠ 24 ÷ (8 − 4) + 8.2

16 · (4.5 + 3) ÷ 10 = 30 ÷ (15 ÷ 2.5) + 7

16 · (4.5 + 3) ÷ 10 ≠ 36 ÷ (9 − 4.2) + 3

Therefore, the answer is:

16 · (4.5 + 3) ÷ 10 = 30 ÷ (15 ÷ 2.5) + 7

Hope this helps =D, happy learning !

 74/5 milliliters of sand accumulate in the bag from time t=0 to time t=2.

Given that:

The rate at which sand is poured is r(t)

The function r(t) is defined as;

r(t) = 15t -\(2t^2\)

The accumulation in the bag from time t=0 to time t=2 is calculated as:

 r = \(\int_0^2 ( 15t -2t^2) dt\)

Using the limits:

    =\([\dfrac{15t^2}{2} - \dfrac{2t^3}{3}]_0^2\)

 =\(\dfrac{15(2) ^2}{2} - \dfrac{2(2)^3}{3} - (0-0)\)

\(30 - \dfrac{16}{3}\)

= \(\dfrac{74}{3}\)

  Thus, \(\dfrac{74}{3}\) milliliters of sand accumulate in the bag from time t=0 to time t=2.

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The expressions given in option A and option C on solving will have same value 3/2 or 1.5.

Numeric values can be obtained through the evaluation of numeric expressions, which consist of a mixture of numeric components including variables, numbers or functions, and operators. A blend of arrays and mathematical operators can be present within an expression to derive a numeric solution.

Now solving numerical expressions in the problem (refer to image attached)

A. \(\frac{1}{6} +(\frac{5}{6}+\frac{3}{6} ) = \frac{1+5+3}{6} = \frac{9}{6} =\frac{3}{2} =1.5\)

B. \(\frac{1}{3}+ \frac{5}{3}+ \frac{2}{3} =\frac{1+5+2}{3} =\frac{9}{3} =3\)

C. \(\frac{3}{5} +(\frac{1}{2} +\frac{2}{5} )=\frac{15}{10} =\frac{3}{2} =1.5\)

D. \(2+\frac{1}{2} =\frac{4+1}{2} =\frac{5}{2} =2.5\)

Hence, expressions in option A and option C have same values

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The ratio of false positives to true positives is 8 over 54.

According to the Question

Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.

We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.

We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.

As a result, the ratio becomes 8% / 54%, or 8/54.

It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.

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False. Auxiliary variables are not required to reveal the shadow prices for activities with simple upper bound constraints.

Auxiliary variables are introduced in linear programming to represent additional decision variables that help formulate and solve optimization problems. They are commonly used when dealing with complex constraints or when formulating the dual problem. However, for activities with simple upper bound constraints, auxiliary variables are not necessary to reveal the shadow prices.

In linear programming, shadow prices represent the rate of change in the optimal objective function value with respect to a change in the right-hand side of a constraint. When an activity has a simple upper bound constraint, it means that there is a maximum limit on its value. In such cases, the shadow price can be obtained directly by analyzing the sensitivity of the objective function to changes in the upper bound constraint without the need for auxiliary variables.

The shadow price for an activity with a simple upper bound constraint can be interpreted as the marginal value or opportunity cost of increasing the upper bound by one unit. By performing sensitivity analysis on the objective function, one can determine the impact of such a change and obtain the corresponding shadow price without introducing auxiliary variables. Therefore, it is not true that auxiliary variables are needed to reveal the shadow prices for activities with simple upper bound constraints.

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Answer: option c

64is 44 times the difference between sarah age a and 44 then sarah aged is 60

Given that :

Sarah's age = a

Assume Sarah is older than 44 ; then a > 44

64 = 4 times difference between a and 44

Expressing the problem mathematically ;

64 = 4 * (a - 44)

64 = 4a - 176

64 + 176 = 4a

240 = 4a

a = 240 / 4

a = 60

Hence, Sarah is aged 60

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Total hours handled by x judges in the year ≤ 12120x where x is the number of judges needed to handle the caseload for the year.

To formulate an LP for this problem, we can define the decision variables and the objective function and constraints.

Decision Variables:

Let x be the number of judges needed by the city to handle the caseload for the year.

Objective Function:

We want to minimize the number of judges needed, so our objective function is:

minimize x

Constraints:

Each judge can handle up to 120 hours of caseload per month, so the total number of hours that can be handled by x judges in a month is 120x. The total number of hours needed to handle the caseload for the year is given in the table. Therefore, we have the following constraints:

For January: 120x ≥ 100

For February: 120x ≥ 120

For March: 120x ≥ 90

For April: 120x ≥ 80

For May: 120x ≥ 110

For June: 120x ≥ 130

For July: 120x ≥ 140

For August: 120x ≥ 110

For September: 120x ≥ 100

For October: 120x ≥ 90

For November: 120x ≥ 80

For December: 120x ≥ 120

These constraints ensure that the total number of hours handled by the judges in each month is at least as much as the number of hours needed to handle the caseload in that month.

We also need to ensure that all cases are handled by the end of December. This can be expressed as follows:

Total hours handled by x judges in the year ≤ 12120x

This constraint ensures that the total number of hours handled by the judges in the year is less than or equal to the maximum possible number of hours that can be handled by x judges in a year.

Therefore, the LP can be formulated as follows:

minimize x

subject to:

120x ≥ 100

120x ≥ 120

120x ≥ 90

120x ≥ 80

120x ≥ 110

120x ≥ 130

120x ≥ 140

120x ≥ 110

120x ≥ 100

120x ≥ 90

120x ≥ 80

120x ≥ 120

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The measure of the value of 'x' from the expression is 8.8712

The given image is a triangle with the following parameters:

Opposite = 8

Hypotenuse = x

acute angle = 46 degrees

Required

The measure of the angle 'x'

Applying the rule of trigonometry

sin theta = opposite/hypotenuse

sin 46 = 8/x

x = 8/sin46

x = 8.8713

Hence the value of x from then given triangle is 8.8712

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Step-by-step explanation:

The line representing the equation 7x1 + 4x2 = 28 goes through the points (4,0) and (0,7).