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Answer:

±sqrt( H *f•c)= L

Step-by-step explanation:

H=L^2/f•c

Multiply each side by fc

H *fc=L^2/f•c  * fc

H *f•c=L^2

Take the square root of each side

±sqrt( H *f•c)= sqrt(L^2)

±sqrt( H *f•c)= L

The correct answer for detecting nonrandomness in errors is E. control charts. Control charts are a statistical tool used to monitor processes and detect deviations from randomness or expected behavior. They are commonly used in quality control and process improvement to identify any systematic or nonrandom patterns in the data.

Control charts help visualize data over time and compare it to predetermined control limits. If the data falls within these limits and shows a random pattern, it suggests that the process is stable and operating within acceptable limits of variation. However, if the data exhibits nonrandom patterns, such as trends, cycles, or unusual points, it indicates the presence of special causes or systematic errors in the process. By analyzing the control chart, individuals can identify the sources of nonrandomness, investigate the underlying causes, and take corrective actions to improve the process and reduce errors. Therefore, control charts provide an effective method to detect nonrandomness and ensure the quality and consistency of processes.

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Answer:

Step-by-step explanation:

[tex]V = \frac{1}{3} bh \\ [/tex]

To solve for h multiply through by 3 to eliminate the fraction

That's

[tex]3V = 3 \times \frac{1}{3} bh \\ 3V = bh[/tex]

Divide both sides by b to make h stand alone

[tex] \frac{bh}{b} = \frac{3V}{b} \\ [/tex]

We have the final answer as

[tex]h = \frac{3V}{b} \\ [/tex]

Hope this helps you

Answer:

4/3 pie r^3

Step-by-step explanation:

Answer:

The formula to find the volume (V) of a sphere with radius (r) is:

V = (4/3)πr^3

In this formula, π (pi) is a mathematical constant approximately equal to 3.14159. To find the volume of a sphere, you need to cube the radius of the sphere (multiply it by itself three times), multiply the result by 4/3, and then multiply that by π. This formula works for spheres of any size, as long as you know the radius.

Hope it help!

Answer:

Step-by-step explanation:

The first step is to look a the equation to see where the variable is in relation to the equal sign, and whether there are any constants on that same side of the equal sign.

Here, the variable terms are on the left, and there is a constant there, as well. The plan for solving the equation is to eliminate the constant that is on the same side of the equation as the variable, then divide by the coefficient of the variable. To find that coefficient, we need to collect terms. In summary, the plan is to ...

Executing that plan, the steps are ...

  -2x -4 +5x +4 = 8 +4 . . . . add 4

  3x = 12 . . . . . . . . . . . . . . . collect terms

  x = 4 . . . . . . . . . divide by 3

Answer:

The goal is to get x all alone. First combine like terms. Apply the addition property of equality to add 4 to both sides. Apply the division property of equality to divide both sides by 3. The result will be x = 4. Finally, check the solution by substituting 4 into the original equation.

Step-by-step explanation:

0.5983 falls within the range of -1.9719 to 1.9719, it does not surpass the critical value. Therefore, we fail to reject the null hypothesis.

To determine if there is a significant difference in the readiness for college between basketball and football players, we can perform an independent samples t-test.

Sample size for basketball (n1) = 102

Mean for basketball (Xbar1) = 460

Standard deviation for basketball (S1) = 92

Sample size for football (n2) = 117

Mean for football (Xbar2) = 442

Standard deviation for football (S2) = 57

We can set up the hypotheses as follows:

Null hypothesis (H0): There is no significant difference in the means of readiness for college between basketball and football players.

Alternative hypothesis (H1): There is a significant difference in the means of readiness for college between basketball and football players.

Assuming equal variances, we can calculate the pooled standard deviation (Sp) using the formula:

Sp = sqrt(((n1-1) * S1^2 + (n2-1) * S2^2)/(n1 + n2 - 2))

Plugging in the values:

Sp = sqrt(((101 * 92^2) + (116 * 57^2))/(101 + 116 - 2))

≈ sqrt((850048 + 190278)/(215))

≈ sqrt(1049026/215)

≈ sqrt(4875.182)

≈ 69.81

Next, we calculate the t-statistic using the formula:

t = (Xbar1 - Xbar2)/sqrt((Sp^2/n1) + (Sp^2/n2))

Plugging in the values:

t = (460 - 442)/sqrt((69.81^2/102) + (69.81^2/117))

≈ 18/sqrt(483.5271 + 421.9679)

≈ 18/sqrt(905.4950)

≈ 18/30.09

≈ 0.5983

Finally, we compare the calculated t-statistic with the critical t-value at the desired significance level and degrees of freedom (df = n1 + n2 - 2) to determine if the difference is significant.

At a .05 alpha level with (102 + 117 - 2) = 217 degrees of freedom, the critical t-value is approximately ±1.9719.

Since 0.5983 falls within the range of -1.9719 to 1.9719, it does not surpass the critical value. Therefore, we fail to reject the null hypothesis.

Conclusion: Based on the given data, there is insufficient evidence to conclude that there is a significant difference in the means of readiness for college between basketball and football players at a .05 alpha level.

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There is a moderately strong positive correlation between the company's sales and industry sales.

The statistical results from the regression analysis indicate that there is a multiple R value of 0.802. This value represents the correlation coefficient, which measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient suggests a moderately strong positive correlation between the company's sales and industry sales. Additionally, the R-squared value is 0.643, which indicates that approximately 64.3% of the variability in the company's sales can be explained by the variability in industry sales. This suggests that industry sales have a significant influence on the company's sales performance. Furthermore, the adjusted R-squared value is 0.618, which takes into account the number of variables and observations in the regression analysis. It provides a more accurate measure of the model's goodness of fit. Finally, the standard error SYX is 0.9224, which represents the average distance between the actual company sales data and the predicted values based on the regression model. A lower standard error indicates a better fit of the model to the data. Overall, based on the given statistics, it can be concluded that there is a moderately strong positive correlation between the company's sales and industry sales, and industry sales significantly influence the company's sales performance.

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Answer:

  z^2 +7z -8 = 0

Step-by-step explanation:

Let z = 3x+2. Then we can substitute z wherever we see 3x+2.

  z^2 +7z -8 = 0 . . . . equivalent quadratic

__

This is easily factored to ...

  (z -1)(z +8) = 0

So, the original quadratic has solutions ...

  (3x +2) -1 = 0

  x = -1/3

and

  (3x +2) +8 = 0

  x = -10/3

Answer:

32/3 is the answer and please write it easy

Step-by-step explanation:

Answer: Projectile motion involves objects that are dropped, thrown straight up, ... pjm1. bracketleft. y = height t = time in seconds a = acceleration due to gravity ... Notice that this formula is a quadratic function, which means its graph will be a parabola.

Step-by-step explanation:

Answer:

ill help

Step-by-step explanation:

The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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Answer:

-3

Step-by-step explanation:

this is a linear equation, it goes up by 2, y intercept is when x=0 so take away 2 from -1 which is -3

Answer:

-3

Step-by-step explanation:

Your slope is 2:1 or 2 y's per 1 x...

the y-intercept is at x = 0...

you must subtract 1 from x = 1 to get x = 0...

therefore, you must subtract 2 from y = -1...

-1 - (-2) = -3

Answer:

comedy = 2

drama = 4

reality = 1

Step-by-step explanation:

comedy  = 30min

denote as "c"

drama = 60min

denote as "d"

reality = 60min

denote as "r"

write in English

(30min of c) + (60 min of d) + (60min of r) totals to 360 min

translate to mathematics

(30c) + (60d) + (60r) = 360

we also know that there is a total of seven episodes

so we can say

c + d + r = 7

and we also know that there are twice as many episodes of drama as there is of comedy so it can be said that

d = 2c

now there is a system of equations

30c + 60d + 60r = 360

c +d + r = 7

d = 2c

all we know have to do is simplify and solve

substitute in the second equation, into the first

c + d + r = 7

d = 2c

c + 2c + r = 7

simplify

3c + r = 7

r = 7 - 3c

substitute this into the first equation

d = 2c

r  = 7 -3c

30c + 60d + 60r = 360

30c + 60(2c) + 60(7 - 3c) = 360

distribute

30c + 120c + 420 - 180c = 360

simplify

-30c + 420 = 360

      -420       -420

-30c = -60

c = 2

substitute back into the other equations and solve

d = 2c

d = 2 *2

d = 4

r = 7 - 3c

r = 7 - 3 * 2

r = 7 -6

r = 1

The estimated total time for all five pools is approximately 13.85 hours.

To estimate the time required to install the fifth pool using the learning curve, we can use the formula:

Time for nth unit = Time for first unit * (n^b)

Where:

Time for nth unit is the estimated time to install the nth pool

Time for first unit is the estimated time to build the first pool (30 hours)

n is the number of units (in this case, n = 5 for the fifth pool)

b is the learning curve exponent (85% learning rate corresponds to b = log(0.85) / log(2))

Let's calculate the estimated time for the fifth pool:

b = log(0.85) / log(2) ≈ -0.157

Time for fifth pool = Time for first pool * (5^b)

Time for fifth pool = 30 * (5^(-0.157))

Calculating this, we find:

Time for fifth pool ≈ 30 * 0.6764 ≈ 20.29 hours

Therefore, the estimated time required to install the fifth pool is approximately 20.29 hours.

To calculate the total time for all five pools, we need to sum the time required for each pool from the first to the fifth. Since the learning curve assumes decreasing time with increasing units, we can use a summation formula:

Total time for all units = Time for first unit * ((1 - (n^b)) / (1 - b))

Using this formula, let's calculate the total time for all five pools:

Total time for all five pools = Time for first pool * ((1 - (5^b)) / (1 - b))

Total time for all five pools = 30 * ((1 - (5^(-0.157))) / (1 - (-0.157)))

Calculating this, we find:

Total time for all five pools ≈ 30 * 0.4615 ≈ 13.85 hours

Therefore, the estimated total time for all five pools is approximately 13.85 hours.

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Answer: -4

Step-by-step explanation:

g(2)=2²-4(2)

g(2)=4-8

g(2)=-4

Answer: 6.75 cuz u caculate idk

Step-by-step explanation: why dont

you ask  your parent or teacher.

Answer:

Add that

Step-by-step explanation:

Step-by-step explanation:

Let x be the cost of t-shirts

and

y be the cost of hats

Then,

7x + 5y = £32 ..... (i)

And

3x + 4y = £23 ..... (ii)

Now,

Solving (i) and (ii) by Elimination method, we get -

[ 7x + 5y = £32 ] × 4

[ 3x + 4y = £23 ] × 5

= 28x + 20y = £128

15x + 20y = £115

- - -

_________________

13x = £13

x = £13/13

Now, substituting the value of x on equation (i)

= 7(£1) + 5y = £32

= £7 + 5y = £32

= 5y = £32 - £7

= 5y = £25

y = £25/5

Hence,

The cost of t-shirt is £1

and

the cost of hats is £5.

Answer:

[tex]\frac{13}{99}[/tex]

Step-by-step explanation:

We require to create 2 equations with the repeating numbers after the decimal point.

let x = 0.1313.... → (1) ( multiply both sides by 100 )

100x = 13.1313.... → (2)

Subtract (1) from (2) thus eliminating the repeating numbers

99x = 13 ( divide both sides by 99 )

x = [tex]\frac{13}{99}[/tex]

That is 0.1313.... = [tex]\frac{13}{99}[/tex]

Answer:

[tex]3x = 1 \\ x = \frac{1}{3} [/tex]

Answer:

I would do 24÷42 =x

solve for x

x=1/75 so we simplify and we get 5

so each back will have 5

Answer:

[tex] \frac{6 + r}{18 + r} = \frac{3}{5} [/tex]

[tex]5(6 + r) = 3(18 + r)[/tex]

[tex]30 + 5r = 54 + 3r[/tex]

[tex]2r = 24[/tex]

[tex]r = 12[/tex]

12 additional red marbles should be added to the 18 marbles already in the bag.

Answer:

All real numbers

Step-by-step explanation:

The graph of this is equation is a straight line, increasing forward and backwards in both x and y. The range is all real numbers.

Sorry for last time.

Hope this helps you.

Have a nice day.

Answer:

The height of the candle after 7 hours is 21.3 centimeters.

Step-by-step explanation:

From the information given you can assign the following values:

x1=10; y1=21

x2=28; y2=19.2

First, you have to find the slope using the following formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{19.2-21}{28-10}[/tex]

m=-0.1

Then, you can find the equation using the point/slope formula:

y-y1=m(x-x1)

y-21=-0.1(x-10)

y-21=-0.1x+1

y=-0.1x+22

Finally, to find the answer you need to replace the value of x that would be 7 in y=-0.1x+22:

y=-0.1(7)+22

y=-0.7+22

y=21.3

According to this, the height of the candle after 7 hours is 21.3 centimeters.

Present value of Loan payment 1 = [tex]$1000 / (1 + (0.12/365))^{60[/tex]

Present value of Loan payment 2 = [tex]$1200 / (1 + (0.12/365))^{(-30)[/tex]

The single payment required 90 days from now to pay off the two obligations would be the total present value calculated in Step 3.

To calculate the single payment required to pay off the two obligations with a 12% interest rate, we can use the concept of present value. Present value is the current worth of a future payment, taking into account the interest rate and time.

Let's break down the given information:

Loan payment 1: $1000 due 60 days ago

Loan payment 2: $1200 due in 30 days

To find the single payment required 90 days from now, we need to calculate the present value of each payment and then add them together.

Step 1: Calculate the present value of Loan payment 1.

The time period for Loan payment 1 is 60 days ago.

To bring it to the present, we need to calculate the interest accrued for 60 days at a 12% annual interest rate.

Step 2: Calculate the present value of Loan payment 2.

The time period for Loan payment 2 is 30 days in the future.

To bring it to the present, we need to calculate the interest accrued for 30 days at a 12% annual interest rate.

Step 3: Add the present values of Loan payment 1 and Loan payment 2.

Total present value = Present value of Loan payment 1 + Present value of Loan payment 2

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8.1.  the matrix A can be written as:

     A = [ 1 0 1 0 ]

           [ 0 1 0 1 ]

           [ 1 0 1 0 ]

           [ 0 1 0 1 ]

8.2. The basis for the nullspace consists of two vectors, and the matrix has a rank of 2 and a nullity of 2.

8.3. For a 17x17 checkerboard matrix, the rank is 17 and the nullity is 0.

For an n x n checkerboard matrix, the pattern of 1s and 0s alternates along rows and columns, creating a checkerboard-like pattern.

In the case of a 4x4 checkerboard matrix, the matrix A can be written as:

A = [ 1 0 1 0 ]

     [ 0 1 0 1 ]

     [ 1 0 1 0 ]

     [ 0 1 0 1 ]

To find the basis for the nullspace of A, we need to solve the homogeneous equation Ax = 0, where x is a column vector of unknowns. By row-reducing A, we can find that the reduced row-echelon form of A is:

[ 1 0 1 0 ]

[ 0 1 0 1 ]

[ 0 0 0 0 ]

[ 0 0 0 0 ]

From the reduced form, we can see that the columns corresponding to the pivot variables (the first two columns) form a basis for the nullspace. Therefore, the basis for the nullspace of A is:

[tex][ 1 0 0 0 ]^T[/tex]

[tex][ 0 1 0 0 ]^T[/tex]

The nullity of A, denoted as nullity(A), is the dimension of the nullspace. In this case, nullity(A) = 2.

The rank of A, denoted as rank(A), is the number of linearly independent columns in A. Since the first two columns are linearly independent, the rank(A) = 2.

For a checkerboard matrix of size 17x17, we can observe that the pattern will continue to alternate along rows and columns. Therefore, the rank of the 17x17 checkerboard matrix will be 17 (since all columns will be linearly independent), and the nullity will be 0 (since there will be no non-zero solutions to Ax = 0).

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Answer:

x=65

Step-by-step explanation:

When angles are across from eachother like that their values are the same.

so you set them equal to eachother.

120 = 2x - 10

130 = 2x add 10 to both sides

130/2 = 2x/ 2 divide both sides by 2

65 = x

Answer:

Considering that you are trying to find 'x' it is best to make an equation!

Step-by-step explanation:

To find 'x' you must first make an equation!

Since both are the same lengths, you can put these two equal to each other!

(2x - 10)° = 120°

Then solve like normal!

2x - 10° = 120°

    +10° = +10°

--------------------

2x = 130°

(Then divide both sides by 2)

2x/2 = 130/2

x = 65°

Answer:

55.94 mph

Step-by-step explanation:

The speedometer is measuring the speed of the vehicle according to the initial configuration.

The number of the revolution, n, that the wheels made in 1 hour is

[tex]n=\frac {\text{Speed}}{\text{Perimeter of the wheel}}[/tex]

Let p and p' be the perimeter of the old and the new wheels respectively.

[tex]P=\pi\times 94.4086[/tex] inches,

[tex]P'=\pi\times 96.0165[/tex] inches.

Since the speedometer is not calibrated according to the new configuration, so, the perimeter of old wheel has been used for the calculation of indicated speed.

[tex]\Rightarrow n=\frac{\text{Speed}}{P}[/tex]

Actually, this number of revolutions in 1 hour is made with the new tires having perimeter P'.

So, the actual speed with new tires is

[tex]=n\times P'[/tex]

[tex]= \frac{\text{Speed}}{P}\times P'[/tex]

[tex]=\frac {55}{\pi\times 94.4086}\pi\times 96.0165[/tex]

[tex]=\frac {55} {94.4086}\times 96.0165[/tex]

[tex]=55.94[/tex] mph

So, the actual speed of traveling is 55.94 mph.