choose the best definition of hypothesis in the context of statistical analysis.

Answer:

f^1(x)= (1/2)x-(1/2)

hope this helped

Answer:

210km

Step-by-step explanation:

2hours = 180km

2hours = 120minutes

40mins =180/3

           =60km

20mins=60/2

            =30km

2h and 20mins =30+180

                          =210km

Answer:

210kms

Step-by-step explanation:

Speed of the car per hour = 90km/h

or, speed of the car per minute = 90/60kms=1.5km/minute

Now,

car drives for 2hours and 20 minutes

or, (2*60 +20) minutes= 140minutes

Distance of the car drive= minutes travelled* speed per minute

= 140*1.5kms

=210kms

The solution of the system by using elementary row operations on the equations or on the augmented matrix following systemic elimination procedure is x1 = −8 and x2 = 3.

The complexity of the algebra required to solve a linear system rises as the number of equations and unknowns grows. By streamlining the nomenclature and standardizing processes, the necessary computations may be made easier to handle.

The procedures listed below should be followed in order to solve a system of linear equations using the row operations:

1. As a matrix equation, write the equations as AX = B.

2. Create an augmented matrix by converting the matrix equation to the following form: [A | B] (the word "augmented" refers to the vertical line we create to remind us where the equals sign belongs).

3. Reduce the augmented matrix using row operations to arrive at the answer.

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Perimeter is directly proportional to number of squares, x and is 4x where x is the number of squares.

What is perimeter ?

Perimeter is the distance around the edge of a two-dimensional shape. It is the sum of the lengths of all the sides of a shape. It is commonly used to measure the size of a closed shape such as a square, rectangle, or circle. The formula for perimeter depends on the shape in question.

The statements that are true about the relation between the number of squares and the perimeter of the rectangles they form are:

As the number of squares increases, the perimeter of the rectangle also increases.

The perimeter of the rectangle is 4 times the number of squares.

The perimeter increases by 4 for every increase in 1 square.

The perimeter is calculated by multiplying the number of squares by 4.

The perimeter is directly proportional to the number of squares.

Perimeter is directly proportional to number of squares, x and is 4x where x is the number of squares.

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The volume of the rectangular prism is 243 cubic centimeters when the length is 6 cm, the width is 4.5 cm and the height is 9cm.

We need to find the volume of a rectangular prism. The volume is determined by using the values length, width, and height. The formula is given as,

V = w × h × l

Where:

w = Width

h = Height

l = Length

We will assume the given data as:

w = 4.5cm

h = 9cm

l = 6 cm

By substuting the values of w,h, and l values in the formula we get:

V = l × h × w

=  6 × 9 × 4.5

= 243

Therefore, the volume of the rectangular prism is 243 cubic centimeters.

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The complete question:

Find the Volume of the Rectangular Prism whose Length is 6cm, width is 4.5 cm and height is 9cm ?

\({\qquad \qquad \huge \rm \underline { \underline{ Répondre}}}\)

Standard equation of an ellipse is :

\(\qquad \rm\dashrightarrow \: \dfrac{ {(x - h)}^{2} }{ {a}^{2} } + \dfrac{ {(y - k)}^{2} }{ {b}^{2} } = 1\)

If b is smaller than a, then it will be a horizontal ellipse, and if b is greater than a, it will be a vertical ellipse. and shifting depends upon coordinates of its centre.

Now, our given equation is :

\(\qquad \rm\dashrightarrow \: \dfrac{ {x}^{2} }{ 15 } + \dfrac{ {y }^{2} }{ {10} } = 1\)

\(\qquad \rm\dashrightarrow \: \dfrac{ {x}^{2} }{ {(\sqrt{15})}^{2} } + \dfrac{ {y}^{2} }{ {(\sqrt{10}) {}^{2} } } = 1\)

[ here, b = root 10 and a = root 15, hence a is greater than b here, which means : its a horizontal ellipse.

And since it is a horizontal ellipse with center at origin, it's major axis will lie on x - axis.

The values are calculated using the basic properties as follows.

Trigonometric functions are defined as the real functions which are simply the functions of an angle of a triangle. They are basically the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.

Trigonometric functions are also called as Circular functions.

Given sin θ = \(\frac{3}{7}\) and cot θ = \(\frac{2\sqrt{10} }{3}\)

In order to solve this, you need to know some of the basic trigonometric properties.

1. cot θ = 1 / tan θ

tan θ = sin θ / cos θ

So, cot θ = cos θ / sin θ

\(\frac{2\sqrt{10} }{3}\) = cos θ /  \(\frac{3}{7}\)

cos θ =  \(\frac{2\sqrt{10} }{3}\) ×  \(\frac{3}{7}\)

cos θ = \(\frac{2\sqrt{10} }{7}\)

2. tan θ = 1 / cot θ

tan θ = 1 / [\(\frac{2\sqrt{10} }{3}\)]

tan θ = \(\frac{3}{2\sqrt{10} }\)

3. sec θ = 1 / cos θ

sec θ = 1 / [\(\frac{2\sqrt{10} }{7}\)]

sec θ = \(\frac{7}{2\sqrt{10} }\)

4. csc θ = 1 / sin θ

csc θ = 1 / [\(\frac{3}{7}\)]

csc θ = \(\frac{7}{3}\)

Hence the values of the trigonometric functions are calculated.

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H ;-)

x = -3 and y = -2

2x² - 5xy - y³ =

= 2 · (-3)² - 5 · (-3) · (-2) - (-2)³ =

= 2 · 9 - 30 - (-8) = 18 - 30 + 8 =

= -12 + 8 = -4

Answer:

\(2 {x}^{2} - 5xy - {y}^{3} \\ x = - 3 \\ y = - 2 \\ 2 { (- 3)}^{2} - 5 \times - 3 \times - 2 - { (- 2)}^{3} \\ 2 \times 9 + - 30 - - 8 \\ = 18 - 30 + 8 \\ = - 4 \\ thank \: you\)

Answer:

30 i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

you just add it

Answer:

150 cm squared

Step-by-step explanation:

I guess that's the answer if I'm wrong you can tell me right away so that I can try another method thank you.

Statistics help present data precisely and draw meaningful conclusions. While presenting data, one should be aware of using adequate statistical measures.

Readers are generally interested in knowing the variability within the sample, descriptive data should be precisely summarized with SD. The use of SEM should be limited to computing CI which measures the precision of population estimate. Journals can avoid such errors by requiring authors to adhere to their guidelines.

Studying the entire population is time and resource-intensive and not always feasible; therefore studies are often done on the sample, and data are summarized using descriptive statistics. These findings are further generalized to the larger, unobserved population using inferential statistics.

For example, to understand the cholesterol levels of the population, the cholesterol levels of the study sample, drawn from the same population are measured.

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Answer: 11/8

Step-by-step explanation:

1. Multiply the whole number by the denominator: 8•1=8

2. Add the numerator to the sum of the whole number and denominator: 8+3=11

3. Put the original denominator as the denominator, again: 11/8

hope this helps a bit lol

Answer:

ANSWER: 59/ 60

Step-by-step explanation:

What should be subtracted to get 1 / 2 ?( 3 / 4 + 1 / 3 + 2 / 5 )

to get 1 / 2A.3 / 4 = 3.00 ÷ 4 = .75 *.1 / 3 = 1.000 ÷ 3 = .333 * .2 / 5 = 2.0 ÷ 5 = .4 * ..75 + .33 + .4 = 1.48…75+.33.40 == 1.48 *OR3 / 4 = 45 / 60+1 /3 = 20 / 602 / 5 = 24 / 60 ======== 89 / 60 = 1 29/601 29 /60 = 1 29/60 === 0 89/60—0 1/2 ==== 0 30/ 60=—0 30/60 =====================0 59/ 60

Answer:

Square

Step-by-step explanation:

Given

\(\angle 1 = x + 60\)

\(\angle 2 = 2x + 30\)

1 and 2 are consecutive

Required

Determine a special name to the parallelogram

For consecutive angles 1 and 2 of a parallelogram, we have:

\(\angle 1 + \angle 2 = 180\)

\(x + 60 + 2x + 30 = 180\)

\(3x +90 = 180\)

Collect like terms

\(3x = 180 - 90\)

\(3x = 90\)

\(x = 30\)

Next, is to calculate angles 1 and 2

\(\angle 1 = x + 60\)

\(\angle = 30 + 60 = 90\)

\(\angle 2 = 2x + 30\)

\(\angle 2= 2*30 + 30 = 90\)

Both angles are 90.

This implies that each angle in the parallelogram is 90.

Such a parallelogram is either a rectangle or a square

The question is:

This means it is required to find the z-score for 0.05.

To do this, you have to refer to the Area Under Normal Distribution Table.

z-scores are given along the 1st column and 1st row.

The value 0.05 is the significance level. We have to find its corresponding confidence level. To do that, subtract from 0.5:

The z-score for 0.45 is the same as the z-score for 0.05.

Check this or its approximate value in the table:

You'll see for 0.4495.

This falls on 1.6 under .04

Add them together to get 1.6+0.04=1.64

The z-score is 1.64.

To evaluate the given integral using Green's theorem, we need to express it in the flux form.  The result of the integral is -r/6.

Green's theorem states that for a region R bounded by a simple closed curve C, the flux of the vector field F = (P, Q) across C is equal to the double integral of the curl of F over R.

In this case, we have the vector field F = (r^2xy, 1/2y^3), where r is the position vector (x, y).

The flux form of Green's theorem is:

\(∫∫R (curl F) · dA = ∫∫R (∂Q/∂x - ∂P/∂y) dA\)

Let's calculate the curl of F:

∂Q/∂x = 0

∂P/∂y = 2rxy

So, the curl of F is given by\((∂Q/∂x - ∂P/∂y) = 0 - 2rxy = -2rxy.\)

Now, let's evaluate the integral using the flux form of Green's theorem:

∫∫R (-2rxy) dA

Since the region R is a triangle with vertices (0,0), (1,0), and (0,1), we can express it as:

\(R = {(x, y) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 - x}\)

Now, we can rewrite the integral:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Let's evaluate the inner integral first:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Now, evaluate the outer integral:

\(∫₀¹ -r(x-x²) dx = -r(x²/2 - x³/3) ∣₀¹ = -r(1/2 - 1/3) = -r(3/6 - 2/6) = -r(1/6) = -r/6\)

Therefore, the result of the integral is -r/6.

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Answer:

826,783

82*6* (we go up)

826,783 is rounded to 830,000

Step-by-step explanation:

The cube root function that tells the side lengths of the​ container, x, in inches for a given​ cost, C is x = (C^(1/3))^3.

We can use the formula for the volume of a cube, which is V = x^3, where x is the side length of the cube. If the cost of producing one cube-shaped container is C dollars, then the cost of producing one unit of volume is C/V = C/x^3 dollars per cubic inch. Solving for x, we get:

x = (C/V)^(1/3)

Substituting V = x^3, we get:

x = (C/x^3)^(1/3)

Simplifying, we get:

x = (C^(1/3)) / (x^(1/3))

Multiplying both sides by x^(1/3), we get:

x^(2/3) = C^(1/3)

Taking the cube of both sides, we finally get:

x = (C^(1/3))^3

Therefore, the cube root function for a given cost, C, is x = (C^(1/3))^3.

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The statement "If dy/dt=f(t)g(y), the equilibrium solutions can be obtained by finding the solutions to f(t)=0" is not entirely correct.

In a differential equation of the form dy/dt = f(t)g(y), the equilibrium solutions are the constant solutions where dy/dt = 0. These occur when g(y) = 0.

To find the equilibrium solutions, we need to solve g(y) = 0. Once we have found these solutions, we can determine their stability by analyzing the sign of f(t) near these equilibrium values. If f(t) is positive near an equilibrium value, the solution is unstable (i.e., solutions near the equilibrium will move away from it). If f(t) is negative near an equilibrium value, the solution is stable (i.e., solutions near the equilibrium will move towards it).

So, while f(t) = 0 may be useful in some cases for finding equilibrium values, it is not the correct approach for finding all equilibrium solutions in a differential equation of the form dy/dt = f(t)g(y). The equilibrium solutions are found by solving g(y) = 0.

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hello

to solve this problem, let's represent the first consecutive number with x and the second with x + 2

from the information on the question, we can set out an equation here

let's solve this equation

step 1

collect like terms

step two

divide both sides by the coefficient of x

Answer:

$180

Step-by-step explanation:

.3 * 600

Answer:

He earned $180.

Step-by-step explanation:

Multiply 600 by .30 to get 180. Hope this helps!

1. Three examples of situations where consistency is important:

Healthcare: when treating patients, healthcare providers must follow consistent procedures and protocols to ensure that every patient receives the same level of care.

Financial transaction: when making financial transactions, it is important to follow regular security rules to prevent fraud.

Support rules: Adherence to consistent rules and regulations in sports is essential to ensure fair play and the safety of all participants.

2. The number 0 is important in mathematical systems because it represents the absence of a number and serves as a placeholder. Without zero, our mathematical system would be affected in many ways. For example, writing the number 100 would be difficult without the zero. Without the invention of zero, progress in mathematics would have been delayed.

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sketch of the line 4x + 3y = 11, slope (-4/3),  y-intercept of the line y = 11/3

Step 1: Convert the equation to slope-intercept form (y = mx + b) by solving for y:

3y = -4x + 11

y = (-4/3)x + 11/3

Step 2: Identify the slope and y-intercept:

From the equation in slope-intercept form, we can see that the slope (m) is -4/3 and the y-intercept (b) is 11/3.

Step 3: Plot the y-intercept:

On the y-axis, mark a point at y = 11/3 (approximately 3.67). This is the y-intercept of the line.

Step 4: Use the slope to find additional points:

Using the slope of -4/3, we can find other points on the line. The slope represents the change in y for every 1 unit change in x. So, starting from the y-intercept, we can move down 4 units and to the right 3 units to find the next point, and continue this pattern to find more points.

Step 5: Connect the points:

Once you have a few points on the line, you can connect them with a straight line. Make sure the line extends beyond the plotted points to show that it continues indefinitely.

The resulting line should have a negative slope (-4/3) and be slanting downward from left to right.

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Answer:

I believe it's A 2¹²

Step-by-step explanation:

The answer lies in the question itself.

In the equation, we have

3x - y = 12.

This means 3x = 12 + y.

We have to find 8^x/2^y.

8 can be written as 2^3. Therefore, 8^x = 2^3x.

But 3x = 12 + y, hence can be replaced.

Now we have, in the fraction, 2^(12 + y)/2^y.

This can be written as 2^(12 + y - y) = 2^12.

The required answer is set the reorder point at approximately 304.68 units.

Explanation:-

1) To calculate the safety stock for a 95% service level, we need to find the appropriate z-value for the normal distribution. A 95% service level corresponds to a z-value of 1.645.

Safety Stock = z-value * Standard Deviation of Demand during Lead Time
Safety Stock = 1.645 * 15
Safety Stock ≈ 24.68 units

So, Thomas needs to maintain approximately 24.68 units of safety stock to provide a 95% service level.

2) To calculate the reorder point, we need to consider the average demand during lead time and the safety stock.

Reorder Point = (Average Daily Demand * Lead Time) + Safety Stock
Reorder Point = (70 units/day * 4 days) + 24.68 units
Reorder Point ≈ 280 + 24.68
Reorder Point ≈ 304.68 units

Thomas should set the reorder point at approximately 304.68 units.

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1. The statement C is TRUE about W, i.e., W is NOT closed under + (addition).

2. The geometric description of the null space of a nonzero, noninvertible 2x2 matrix A is a line.

3. The value of m that would make p(x) = mx + 5 and g(x) = 2x + 1 linear dependent vectors in P_1(x) is A. 2.

1. The set W consists of all 1st-degree polynomials (or less) that satisfy p = p^2. In other words, for any polynomial p(x) in W, p(x) = p(x)^2. If we consider the sum of two polynomials in W, p(x) and q(x), their sum p(x) + q(x) will not satisfy the condition p = p^2 unless p(x) = 0 and q(x) = 0. Therefore, W is not closed under addition, making statement C true.

2. The null space of a matrix A consists of all vectors x such that Ax = 0, where A is a nonzero, noninvertible matrix. In the case of a 2x2 matrix, the null space can be geometrically described as a line through the origin in the vector space. This line represents all the vectors that, when multiplied by A, result in the zero vector. Since A is noninvertible, there is a nontrivial solution space corresponding to a line rather than just a single point.

3. For p(x) = mx + 5 and g(x) = 2x + 1 to be linearly dependent vectors in P_1(x), there must exist a scalar k (not equal to zero) such that p(x) = kg(x). Comparing the coefficients of the terms, we have m = 2k and 5 = k. Solving these equations simultaneously, we find k = 5. Substituting this value into the first equation, we get m = 2(5) = 10. Therefore, the value of m that makes p(x) and g(x) linearly dependent in P_1(x) is 10, making option B the correct choice.

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No, Mach 1 is not the speed of sound in mph. The speed of sound is a constant, and it varies depending on the temperature, altitude, and other factors.

The speed of sound is about 761.2 mph at sea level, but it can increase to up to 1,236 mph at higher altitudes. Mach 1, on the other hand, is the ratio of the speed of an object to the speed of sound. It is not a fixed value, but the speed of an object traveling at the speed of sound is always Mach 1.

For example, if an object is traveling at 600 mph, the Mach number would be 0.78 (600/761.2). As the speed of the object increases, the Mach number would also increase eventually reaching 1 when the object is traveling at the speed of sound.

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Answer:

10

Step-by-step explanation: