Which equation is equivalent to

The number of steps per second that a runner takes is not typically called the stride rate.

Stride rate is a measurement of how frequently a person makes steps when walking or jogging. It is typically expressed in steps per minute and is calculated by dividing the total number of steps taken by the time it takes for each step to be completed. A person is often traveling faster if they have a greater stride rate. Numerous variables, such as a person's height, leg length, and muscular strength, can influence stride pace. The kind of exercise being done and the surface on which a person is walking or jogging might also have an impact. People may assess their development and modify their training plan to increase their speed and efficiency by keeping an eye on their stride rate.

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Answer:

X=1

Step-by-step explanation:

3x+1=4

3x=3

X=1

Answer:

Step-by-step explanation:

Pythagorean theorem: a²+b²=c²

a (the shortest side) = 8ft
b (the 'height') = 15ft
c (the longest/ diagonal side) = 17ft

if a²+b²=c² then it is a right angle triangle

8² + 15² = c²
c² = 289

c = √289

c = 17

hence, proven

hope this helps

a random variable can have any value that is possible within the range of -infinity and infinity.So a. can have any value between -infinity and infinity.

A random variable from an experiment with outcomes that are normally distributed can take on any value between -infinity and infinity. This means that it can take on any real number, including fractions and decimals. It is not limited to only a few discrete values, nor does it have to be positive.

A random variable from an experiment with outcomes that are normally distributed can take on any real value between -infinity and infinity. This means that the variable is not limited to a few discrete values, nor does it have to be positive. Instead, it can have any value, no matter how small or large, and including fractions and decimals. Such a random variable can have any value that is possible within the range of -infinity and infinity.

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Answer:

yes 1/6 is a rational number.

Step-by-step explanation:

Did you mean.

\( \text{what \: is \: the \:sin \: of } \: - \frac{4\pi}{3} \: ?\)

\( \: \)

\( = \sin( - \frac{4\pi}{3} ) \)

\( = \sin( - \frac{4 \times 180 \degree}{3} ) \)

\( = \sin( - \frac{4 \times \cancel{180} \degree}{ \cancel3} ) \)

\( = \sin( - 4 \times 60 \degree) \)

\( = \sin( - 240 \degree) \)

\( = \sin(0 - 240 \degree) \)

\( = \sin(360 \degree - 240 \degree) \)

\( = \sin(120 \degree) \)

\( = \frac{1}{2} \sqrt{3} \: \: \text{is \: the \: answer}\)

Answer:

m^3 + 3m, I simplified.

The point estimate for the population mean is 80.875.

The ratio of the overall quantity of data to the total number of data sets is known as the mean. The average and mean are calculated using the same formula.

The ratio of the total number of data points to the total amount of data is also used to determine the average.

The eight midterms chosen at random are 71, 80, 65, 85, 90, 77, 92, and 87. The formula used to compute the mean is

Mean = (  71 +80 + 65 + 85 + 90 + 77 + 92 + 87 ) / 8

Mean = 647 / 8

Mean = 80.875

The population mean is 80.875.

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Answer:

x= z-m+y

Step-by-step explanation:

subtract m from both sides

add y to both sides

and switch sides

A. x1, x2, x3, s1, s2 ≥ 0

B. New table au:

x1 x2 x3 s1 s2 RHS

x2 | 0 1 4/7 3/14 -1/14 1/2

s2 | 1 0 3/7 -1/14 3/14 3/2

Z | 0

a) Writing the problem in equation form and adding slack variables:

Maximize Z = 3x1 + 2x2 + x3

Subject to:

3x1 - 3x2 + 2x3 + s1 = 3

-x1 + 2x2 + x3 + s2 = 6

x1, x2, x3, s1, s2 ≥ 0

b) Solving the problem using the simplex method:

Step 1: Convert the problem into canonical form (standard form):

Maximize Z = 3x1 + 2x2 + x3 + 0s1 + 0s2

Subject to:

3x1 - 3x2 + 2x3 + s1 = 3

-x1 + 2x2 + x3 + s2 = 6

x1, x2, x3, s1, s2 ≥ 0

Step 2: Create the initial tableau:

x1 x2 x3 s1 s2 RHS

s1 | 3 -3 2 1 0 3

s2 | -1 2 1 0 1 6

Z | 3 2 1 0 0 0

Step 3: Perform the simplex method iterations:

Iteration 1:

Pivot column: x1 (lowest ratio = 3/1 = 3)

Pivot row: s2 (lowest ratio = 6/2 = 3)

Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:

s2 = -s2/3

x2 = x2 + (2/3)s2

x3 = x3 - (1/3)s2

s1 = s1 - (1/3)s2

Z = Z - (3/3)s2

New tableau:

x1 x2 x3 s1 s2 RHS

x1 | 1 -2/3 -1/3 0 1/3 2

s2 | 0 7/3 4/3 1 -1/3 2

Z | 0 2/3 2/3 0 -1/3 2

Iteration 2:

Pivot column: x2 (lowest ratio = 2/7)

Pivot row: x1 (lowest ratio = 2/(-2/3) = -3)

Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:

x1 = -3x1/2

x2 = x2/2 + (1/7)x1

x3 = x3/2 + (4/7)x1

s1 = s1/2 - (1/7)x1

Z = Z/2 - (2/7)x1

New tableau:

x1 x2 x3 s1 s2 RHS

x2 | 0 1 4/7 3/14 -1/14 1/2

s2 | 1 0 3/7 -1/14 3/14 3/2

Z | 0

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The required operating time, total expense and receipt are 33hours, $759 and $759 respectively.

How to get hours in operation?

It is time taken by worker or operator to operate particular work.

We have given,

Spend money = $594

Average hourly operating cost = $5.

Average hourly receipt = $23

Let time taking in operation be h,

594 + 5h = 23h

18h = 594

h = 33 hours.

and

Total expense = 23h =$23(33) =$ 759

receipt =594 + 5h = 594 + 5(33) = 594 + 165 =$ 759  

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The probability of selecting a player with an average under 300 is 0.99

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

Mean = 250

Standard deviation = 20

Score = Under 300

The z-score is calculated as

z = (300 - 250)/20

So, we have

z = 2.5

The probability is then calculated as

P = P(z < 2.5)

When evaluated, we have

P = 0.99379

Approximate

P = 0.99

Hence, the probability is 0.99

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Question

The Atlanta Braves baseball team has a mean batting average of 250 with a standard deviation of 20. Assume the batting averages are approximately normally distributed

What is the probability of selecting a player with an average under 300?

The value of x is 7/3, which can be rounded to two decimal places as approximately 2.33.

To solve the equation 2x + 8 + 4x = 22, we need to combine like terms and isolate the variable x.

Combining like terms, we have:

6x + 8 = 22

Next, we want to isolate the term with x by subtracting 8 from both sides of the equation:

6x + 8 - 8 = 22 - 8

6x = 14

To solve for x, we divide both sides of the equation by 6:

(6x) / 6 = 14 / 6

x = 14/6

Simplifying the fraction 14/6, we get:

x = 7/3

Therefore, the value of x is 7/3, which can be rounded to two decimal places as approximately 2.33.

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Answer:

To find t the hypotenuse we use sine

sin 53° = 14/t

t = 14/sin 53°

t = 17.53

Since we have both hypotenuse and the opposite we use Pythagoras theorem to find s

(17.53)² = 14² + s²

s = √17.53² - 14²

s = 10.55

t = 17.53 s = 10.55

Hope this helps.

The correct statement regarding the sign of the residuals in the table is given as follows:

3 negative residuals and 5 positive residuals.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

Hence the residuals are classified as either positive or negative as follows:

Thus the residuals in this problem are classified follows:

Hence the third statement is correct.

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Answer:

The point becomes (-7, -3)

Step-by-step explanation:

Take an illustration

Point X is (x, y)

After transformation, is (y, -x)

\({}\)

Therefore,  subscript indices must be either positive integers or logical. True

Explanation: The statement "subscript indices must be either positive integers or logicals" is true. Subscript indices are used to identify elements in an array. A positive integer subscript identifies a particular element in an array, while a logical subscript identifies a subset of elements based on a logical condition. For example, if we have an array A, then A(1) would identify the first element of the array, while A(A > 0) would identify all elements in the array that are greater than zero. Subscript indices cannot be negative or non-integer values.

Therefore,  subscript indices must be either positive integers or logical. True

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We know the line equation is expressed by

y = mx + b, where is m is its slope (how inclinated it is) and b is intercept with the y-axis.

Finding m

We find its inclination, its slope, m, by

Let's say

(x₁, y₁) = (-6, 5)

(x₂, y₂) = (-3, 3)

Then

Then y = -(2/3)x + b,

Finding b

Since b is intercept with the y-axis, we know it intercepts y when x = 0

Using the equation we have found y = -(2/3)x + b, and replacing one point given by the question (x₂, y₂) = (-3, 3)

y = -(2/3)x + b

3 = -(2/3)(-3) + b

3 = -2 + b

3 + 2 = b

Then, b = 5

Therefore,

The ratio of successive terms in the sequence is 1/2, 6, 4. Hence, this sequence does not have a common difference/ratio. Sequence refers to a set of numbers in a particular order with a rule governing the manner in which the numbers appear.

The sequence given is {1/6, 1/12, 1/2, 2}. Since this sequence is not consecutive, we cannot use the common difference. We can, however, use the ratio to determine the next terms in the sequence. Let us determine the ratio of successive terms in the sequence: {(1/12) / (1/6)} = 1/2{(1/2) / (1/12)} = 6{(2) / (1/2)} = 4

The ratio of successive terms in the sequence is 1/2, 6, 4. Hence, this sequence does not have a common difference/ratio. Sequence refers to a set of numbers in a particular order with a rule governing the manner in which the numbers appear. A sequence is a group of things, events, or numbers that are arranged in a specific order or following a definite rule. A sequence can be made up of numbers, letters, or any other things that follow a pattern. The ratio of a sequence refers to the quotient of successive terms in the sequence. The ratio of successive terms is constant for a geometric sequence while the difference is constant for an arithmetic sequence.

A common difference is a constant difference between successive terms in an arithmetic sequence. This means that the common difference is the number you add or subtract to get to the next term in the sequence. An example of an arithmetic sequence is {1, 3, 5, 7, 9} where the common difference is 2. This means that you add 2 to the previous term to get to the next term in the sequence. A common ratio, on the other hand, is the quotient of successive terms in a geometric sequence. The common ratio is the number that you multiply or divide by to get to the next term in the sequence. For example, {2, 4, 8, 16, 32} is a geometric sequence with a common ratio of 2. This means that you multiply each term by 2 to get to the next term in the sequence. In the given sequence {1/6, 1/12, 1/2, 2}, since the sequence is not consecutive, we cannot use the common difference. We can, however, use the ratio to determine the next terms in the sequence. The ratio of successive terms in the sequence is 1/2, 6, 4. Hence, this sequence does not have a common difference/ratio.

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Answer:

Step-by-step explanation:

The linear spline interpolation gives the values:

To perform linear spline interpolation, we need to find the equation of the line between each pair of consecutive data points. Then, we can use these equations to interpolate the desired values.

Given data points:

x = [-8.3, 1.2, 8.0]

y = [-43.75, 6.6, 45.36]

Find the slope (m) and y-intercept (b) for each line segment:

For the line segment between (-8.3, -43.75) and (1.2, 6.6):

m1 = (6.6 - (-43.75)) / (1.2 - (-8.3)) = 50.35 / 9.5 ≈ 5.30

Using the point-slope form of a line, we can substitute one of the points and the slope to find the y-intercept:

b1 = y1 - m1 * x1 = 6.6 - 5.30 * 1.2 ≈ 0.42

So, the equation of the line segment is y = 5.30x + 0.42.

For the line segment between (1.2, 6.6) and (8.0, 45.36):

m2 = (45.36 - 6.6) / (8.0 - 1.2) = 38.76 / 6.8 ≈ 5.71

Using the point-slope form of a line:

b2 = y2 - m2 * x2 = 45.36 - 5.71 * 8.0 ≈ -0.51

So, the equation of the line segment is y = 5.71x - 0.51.

Interpolate the desired values using the equation of the appropriate line segment:

For x = -0.9:

Since -8.3 < -0.9 < 1.2, we will use the equation y = 5.30x + 0.42 to interpolate.

y = 5.30 * -0.9 + 0.42 ≈ -4.77

For x = 10.9:

Since 8.0 < 10.9, we will use the equation y = 5.71x - 0.51 to interpolate.

y = 5.71 * 10.9 - 0.51 ≈ 61.87

Therefore, the linear spline interpolation gives the following values: for x = -0.9: y ≈ -4.77, and for x = 10.9: y ≈ 61.87.

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For a 10,000 linear feet of fencing and wants to enclose a rectangular field, the maximum area of each pasture is equals to the 2,083,333.33 square feet .

A rancher wants to enclose about 10,000 linear feet of fencing in a rectangular field. There are two equal pastures. Let, W the Width and L the Length with 3 pieces. The total length will be equal to 2W + 3L. As we know, the Area of rectangle, A = L×W ---(1)

Perimeter of rectangle = 10,000 feet, so sum of all sides of rectangle, 2W + 3L = 10000

Solve for determining value of L, 3L

= 10000 - 2W

\(L = \frac{ 10000 - 2W }{3}\)

Substitutes for L into the first equation, A = L×W

\(A = W(\frac{ 10000 - 2W }{3})\)

For maximum area, set the 1st derivative = 0.

differentiating above Area equation w.r.t W,\( A = \frac{(10000 \: W - 2W^2)}{3}\)

\( \frac{dA}{dW} = \frac{d(\frac{10000 \: W - 2W^2}{3})}{dW}\)

=> \(\frac { 1}{3}(10000 - 4W) = 0 \)

=> W = 2500 meters

Now, using above relation, 2W + 3L= 10000

=> 5000 + 3L = 10000

=> 3L = 5000

=> L = 1667 meters

Area = 2500× 5000/3 = 4,166,666.67 sq feet. Now, maximum area of each pasture

= 4,166,666.67/2 = 2,083,333.33333 sq. feet. Hence, required value is 2,083,333.33 sq. feet.

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Step-by-step explanation:

Grazie don't forget to follow narin po

Answer:

\(a=\frac{7}{2} \ \ ,\ \ \ b=\frac{3}{2}\)

Step-by-step explanation:

\(\frac{2}{7+3\sqrt{5} } =\frac{2\times \left( 7-3\sqrt{5} \right) }{\left( 7+3\sqrt{5} \right) \left( 7-3\sqrt{5} \right) }\)

         \(=\frac{2\times \left( 7-3\sqrt{5} \right) }{7^{2}-\left( 3\sqrt{5} \right)^2 }\)

         \(=\frac{2\times \left( 7-3\sqrt{5} \right) }{49-45 }\)

         \(=\frac{2\times \left( 7-3\sqrt{5} \right) }{4 }\)

         \(=\frac{7-3\sqrt{5} }{2 }\)

         \(=\frac{7}{2} -\frac{3}{2} \sqrt{5}\)

Then

a = 7/2

b = 3/2

Answer:

No, the 10% condition is not met is the answer.

1,000/5,832 is 0.1714, or ~17%, which is more than 10% of the population.

No, the 10% condition is not met.

Ratio:

'Ratio is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another.'

Proportion:

'A proportion is an equation in which two ratios are set equal to each other.'

According to the given problem,

Total number of people in the town = 5832

Number of people to be surveyed = 1000

Ratio of number of people chosen to the total population = \(\frac{1000}{5832}\)

                                                                                                 = 0.17

Therefore percentage of people to be surveyed = 0.17 × 100

                                                                         = 17%, which is more than 10%

Hence, we can conclude that the 10% condition is not met.

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Answer:

64π(cm)2

Step-by-step explanation:

Answer:

8cm

Step-by-step explanation:

It's 8×0. jbjbgubhibhyo

【Rep.】The least common multiple of 12 and 24 is 24.

                             \(\red{ {\hspace{50 pt}\above 1.2pt}\boldsymbol{\mathsf{Procedure}}{\hspace{50pt}\above 1.2pt}}\)

To obtain the least common multiple (lcm) we must do it by simultaneous decomposition.

This method consists of extracting the common and uncommon prime factors, then

   \(\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{12 \ \ \ 24}\\ \ 6 \ \ \ 12\\ \ 3 \ \ \ \ 6\\ \ 3 \ \ \ \ 3\\ \ 1 \ \ \ \ 1 \end{matrix}\right|\begin{matrix} 2\\ 2\\ 2\\ 3\\ \: \end{matrix} \end{gathered}$}\)

                                 \(\sf{L.c.m.(12,24)=2\times2\times2\times3}\)

                                       \(\sf{L.c.m.(12,24)=2^{3}\times3 }\)

                                       \(\boxed{\boxed{\sf{L.c.m.(12,24)=24}}}\)

The quantity that is equal to the energy per second generated by fusion in the Sun's core is the temperature of the Sun's core. Therefore, the correct option is C.

The fusion reactions that occur in the core of the Sun release energy in the form of radiation and heat, and this energy is transported outwards towards the photosphere. The temperature of the core is directly related to the rate of fusion reactions and the amount of energy generated.

The luminosity of the photosphere (option b) and the force of gravity holding the Sun together (option d) are important factors in understanding the overall behavior of the Sun, but they are not directly related to the energy generated by fusion in the core. The temperature at the photosphere (option a) is also not directly related to the energy generated by fusion in the core, although it is a measure of the temperature of the outer layers of the Sun where visible light is emitted. Hence, the correct answer is option C.

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Answer:

$18 for the pizza.

Step-by-step explanation:

Answer:

b is incorrect

Step-by-step explanation: