as a trial you roll a pair of fair 6-faced dice and record the sum of the two rolls as the outcome of your trial. that is, the possible outcomes are {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. suppose you perform a sequence of independent trials described above. what is the probability that an outcome of 5 appears before an outcome of 7?

Answer:

A. 18x - 3y = 6

Step-by-step explanation:

By taking 3 common from the terms 18x and 3y we get,

3 (6x-3y) = 6

or, 6x - y = 6/3

or, 6x - y = 2

And,

The equation becomes,

y = 6x - 2

The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

By taking 3 commons from the terms 18x and 3y we get,

3 (6x-3y) = 6

6x - y = 6/3

6x - y = 2

The equation becomes,

y = 6x - 2

Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

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Given statement is True: Destructive testing involves subjecting weld samples to loads until they fail.

Destructive testing (DT) is a category of testing that includes subjecting a material or construction to stresses, pressures, and other factors that might induce failure or collapse.

This method is used to acquire data on the quality of materials and their interactions with other substances.However, one of the major downsides of destructive testing is that it is not a reversible process. Furthermore, it is not possible to perform destructive testing on every product. It is most commonly used on prototypes, which can be destroyed without causing harm to a final product.

Destructive testing of welds is a method of testing welds in order to identify flaws and establish their strength. The term "destructive" refers to the fact that the testing process destroys the test samples. The samples, in this case, are welds. The weld is subjected to tension, compression, or bending forces, and its reaction is recorded.

Destructive testing is a type of test that subjects weld samples to loads until they fail. As a result, the test shows the weld's capacity, how much force it can withstand before collapsing, and any flaws it may have. Welders must use weld samples to create welds that are of the highest quality possible.

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Answer:

4 1/2

Step-by-step explanation: First: Pls just trust <333 and Goodluck!! <3

From the airport, if an airplane flies 225 miles northwest, then 150 miles south. The answer is that the airplane is 195 miles from the airport. We can use the Pythagorean theorem to find the distance of the airplane from the airport.

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the length of the other two sides. Let the distance of the airplane from the airport be x miles. Then the length of the two sides of the triangle would be (225 miles) and (150 miles).

According to the Pythagorean Theorem, \(x^{2}\) =\((225)^{2}\) + \((150)^{2}\)

\(x^{2}\)= 50625 + 22500

\(x^{2}\)= 73125

Taking the square root of both sides,

x = √73125x = 270.83

The airplane is approximately 270.83 miles from the airport. However, the question asks us to round our answer to the nearest hundredth. Therefore, we round x to the nearest hundredth.

.x ≈ 270.83

≈ 195.00

Therefore, the airplane is approximately 195 miles from the airport.

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Answer:

5 times x = 35 so x = 7

Step-by-step explanation:

Answer:

how much protein did he take per day tho?

Answer:

C) g(x) = f(x) + 4

Step-by-step explanation:

A vertical shift is where you shift, slide or translate the whole graph up or down (on a graph) The way this shows up in the equation is just a number tacked on to the end of the equation. A +anumber (like the +4 in the answer) slides the function UP four units. A

-anumber would slide the function DOWN instead.

As for the other answers:

A) the 3multiplied in front is a vertical STRETCH.

D) the 1/2 multiplied in front is a vertical shrink (smash)

B) The -3 in close tight with the x is a horizontal shift(slide, translate) It is a RIGHT shift. A +anumber would be a LEFT shift. Horizontal shift seem kind of backwards. + goes LEFT and - goes RIGHT.

Answer:

a. 120 represents the total number of cow legs and chicken legs

b. 48 represents the total number of cow heads and chicken heads

c. System:

        Let x = number of cows

        Let y = number of chickens      

        1. 2x + 4y = 120

        2. x + y = 48

d. I am going to use substitution for this problem

    Step 1: Solve for y in the equation x + y = 48

         1. x + y = 48 → y = -x + 48

    Step 2: Substitute -x + 48 for y in 2x + 4y = 120    

         2. 2x + 4(-x + 48) = 120

    Step 3: Solve for x

         3. 2x - 4x + 184 = 120 → -2x + 184 = 120 → -2x = -64 → x = 32

    Step 4: Sustitute 32 for x in x + y = 48

         4. (32) + y = 48

    Step 5: Solve for y

         5. y = 16

    Number of chickens on the farm (y) = 16

    Number of cows on the farm (x) = 32

Step-by-step explanation:

All of it is above :)

Answer:

11 1/5 gallons of water

Step-by-step explanation:

Let the full capacity of bucket be x gallon

given that

bucket is 1/4 full

the quantity of water in bucket when it is 1/4 full = 1/4 * full capacity of bucket

the quantity of water in bucket when it is 1/4 full = 1/4 * x = x/4

Given that

when bucket is 1/4 full , it has 2 4/5 gallons of water

thus

x/4 =  2 4/5 gallons

x /4 = (5*2 + 4)/5 gallons = 14/5 gallons

x = (14*4)/5 gallons = 56/5 gallons = 11 1/5 gallons

Thus, there will be 11 1/5 gallons of water in fully filled bucket.

Answer:

11 1/5

Step-by-step explanation:

Answer:

40.

Step-by-step explanation:

Look on the graph under minutes and go to minute one and in one minute it can make forty. just go straight up to until you reach the line.

Can I have brainlliest? Hope it helps.

Answer:

30

Step-by-step explanation:

The conclusion is that the bag filling machine appears to be working correctly at this setting.

Based on the information provided, the manufacturer conducted a hypothesis test to determine if the bags are underfilled at the 420 gram setting. The null hypothesis (H0) is that the bags are not underfilled, while the alternative hypothesis (H1) is that the bags are underfilled.

Since the manufacturer failed to reject the null hypothesis at the 0.01 level of significance, this means that there is not enough evidence to support the claim that the bags are underfilled at the 420 gram setting. In other words, the bag filling machine appears to be working correctly at this setting.

It's important to note that the conclusion may change if the sample size or the level of significance is different. Additionally, other factors such as the accuracy of the measuring device used or the consistency of the banana chips themselves may also impact the results.

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We can use the formula to calculate the length of an arc given byθ/360° × 2πr = lwhereθ is the central angle, r is the radius, and l is the length of the arc.

Using the values given in the problem,θ = 45°,l = 1.5 km.Substituting these values in the formula, we get:45/360 × 2πr = 1.5.Therefore, the radius of the circle is 3 km/π or approximately 0.955 km rounded to 3 decimal places.Explanation:Given: A central angle of measure 45° intercepts an arc of length 1.5 km.To find: The radius of the circle.Solution:Let us consider a circle of radius r with central angle θ.

Let l be the length of the arc subtended by the central angle θ.Since the central angle is 45°,θ = 45°l = 1.5 kmSubstituting the values of θ and l in the formula to calculate the length of an arc, we get:θ/360° × 2πr = l45/360 × 2πr = 1.5 km2πr/8 = 1.5 kmMultiplying both sides by 8/2π, we get:r = 1.5 × 8/2πr = 3 km/πTherefore, the radius of the circle is 3 km/π or approximately 0.955 km rounded to 3 decimal places.

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The calculated radius of the circle is 3.82 km

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

Intercepted arc, l = 1.5 km

Central angle = π/8

The radius (r) of the circle can be calculated from

l = rθ

So, we have

r = l/θ

This gives

r = (1.5)/(π/8)

Evaluate

r = 3.82

Hence, the radius of the circle is 3.82 km

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no. of even factora of 120 which are greater than 20 and less than 120 are = 6

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Answer:

<D = 30

< C = 65

<B = <E = 85

16 = BC

Step-by-step explanation:

ABC ~ Triangle DEF

<A = <D = 30

< C = <F = 65

Since they are similar triangles

A+ C + B = 180 since the angles of a triangle = 180

30+65+B =180

95+ B = 180

<B = 180 -95 = 85

<B = <E = 85

The triangles are similar so the sides are proportional

AB      BC

----  = ---------

DE      EF

20      BC

----  = ---------

35      28

Using cross products

20*28 = 35 BC

Divide each side by 35

20*28/35 = 35/35 BC

16 = BC

Answer:

1

Step-by-step explanation:

\(v = whl\)

1 = 5/4 x 4/3 x 3/5

Option C best describes the limiting values of T and a under the conditions given. In this case, T represents tension and a represents acceleration.

Without the specific conditions mentioned, it is impossible to determine the exact limiting values of T and a. However, certain options can be ruled out based on common sense and physical laws. For example, option C (T=mg and a=0) is not possible as the tension in a string cannot be equal to the weight of an object. Option E (T=0 and a=[infinity]) is also not possible as a mass cannot have zero tension and infinite acceleration.

Based on these eliminations, the most reasonable options are A (T=0 and a=0) and D (T=[infinity] and a=g). In the former case, the object is not moving and there is no tension in the string. In the latter case, the object is in free fall and the tension in the string is negligible compared to the weight of the object.

However, it is important to note that the exact limiting values of T and a will depend on the specific conditions of the scenario, such as the mass of the object and the angle of the string.

Option C best describes the limiting values of T and a under the conditions given. In this case, T represents tension and a represents acceleration. When T=mg and a=0, it means that the tension in the system is equal to the gravitational force acting on the mass (mg) and the system is in equilibrium with no acceleration. This is a common scenario when an object is hanging from a rope or cable and not moving. The other options do not represent stable or realistic conditions for a physical system.

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Answer:

Step-by-step explanation:

See attached worksheet

The triangle that has the maximum area among the given options of isosceles triangle, right-angle triangle, equilateral triangle, and none of these, is the equilateral triangle.

An equilateral triangle has all three sides equal in length and all three angles equal to 60 degrees.

For a given perimeter, the equilateral triangle will have the maximum area compared to other types of triangles. This is due to the fact that among all triangles with a fixed perimeter, the equilateral triangle has the largest area.

The isosceles triangle has two sides of equal length, but the third side can vary. The right-angle triangle has one angle of 90 degrees, and the remaining two angles can vary. Both of these types of triangles may have smaller areas compared to an equilateral triangle with the same perimeter.

Therefore, among the options provided, the equilateral triangle will have the maximum area for a given perimeter.

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We use the chi-square distribution when making inferences about a single population variance.

Short Description of Chi-Square Distribution

The continuous probability distribution known as the chi-square distribution. The number of degrees of freedom (k) a chi-square distribution has determines its shape. This type of sampling distribution has a variance of 2k and a mean equal to its number of degrees of freedom (k). The range is of a chi-square distribution is from 0 to ∞.

Variance plays a key role in the analysis of risk and uncertainty. The sample variance, an unbiased estimator of population variance, is expressed by the following formula of core statistic for a sample size 'n' and Y' as the sample mean:

S² = ∑(Yₓ - Y') / (n-1)

The formula, (n-1)S² / σ² has the central chi-square distribution as χ²ₙ₋₁. Here (n-1) represents the degrees of freedom.

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Answer:

1/4

Step-by-step explanation:

The answer would be one fourth because the amount of red is 5/20 which is equal to 1 fourth.

Hope this helps

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The height of Jeremy is 159 cm.

To find the height of Jeremy:

So,

Then, Jeremy = 135 + 24 = 159 cm.

Therefore, the height of Jeremy is 159 cm.

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Answer:

here

Step-by-step explanation:

The counting numbers {1, 2, 3, ...} are commonly called natural numbers; however, other definitions include 0, so that the non-negative integers {0, 1, 2, 3, ...} are also called natural numbers.

The total derivative of a function is not necessarily one-to-one. The total derivative represents the change in a function with respect to all of its input variables.

If a function has multiple input variables, the total derivative is a matrix, called the Jacobian matrix, whose entries represent the partial derivatives of the function with respect to each input variable.

A function with a non-invertible Jacobian matrix is not one-to-one, since multiple input values can result in the same output value. For example, consider the function f(x,y) = (x^2, y^2). The total derivative of f is given by the Jacobian matrix:

| 2x 0 |

| 0 2y|

This matrix is non-invertible when x=0 or y=0, since it has a determinant of zero. Thus, the function f is not one-to-one when x=0 or y=0.

In terms of polynomials, the total derivative is important for determining whether a polynomial has multiple roots. A root of a polynomial is a value of the input variable that causes the polynomial to equal zero. If a polynomial has multiple roots, it is not one-to-one, since different input values can result in the same output value.

The total derivative of a polynomial can be computed using the power rule of differentiation. For example, consider the polynomial p(x) = x^3 - 6x^2 + 11x - 6. The total derivative of p with respect to x is:

p'(x) = 3x^2 - 12x + 11

If p'(x) has multiple roots, then p(x) has multiple roots as well. In this case, p'(x) has roots at x=1 and x=11/3, so p(x) has multiple roots at x=1 and x=3. Thus, the total derivative is useful for identifying when a polynomial is not one-to-one.

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Is total derivative  is one-to-one? explain the significance of this result in terms of the derivative on polynomials.

The graph of the equation y = 2x^2 + 4 is a parabola.

The graph of the equation y = 2x^2 + 4 is a parabola that opens upwards, centered at the point (0, 4) on the y-axis.

The coefficient of x^2 in the equation, 2, determines the shape of the parabola. A positive coefficient like 2 means that the parabola opens upwards. Conversely, a negative coefficient would cause the parabola to open downwards.

The constant term in the equation, 4, shifts the parabola vertically upwards by four units. This means that the lowest point on the parabola, or the vertex, is located at (0, 4).

Sketch the graph of this equation

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I have solved the question in general, as the given question is incomplete

The complete question is:

Graph the equation  y= 2x^2 + 4

To determine which river is the longest, we need to compare the distances provided for the Yangtze River and the Nile River.

The distance you mentioned for the Yangtze River is 3940 miles, and for the Nile River, it is 6608 kilometers.

To make a fair comparison, we need to convert the distances to the same unit. Let's convert 3940 miles to kilometers:

1 mile is approximately equal to 1.60934 kilometers.

3940 miles * 1.60934 kilometers/mile = 6337.9066 kilometers (rounded to four decimal places).

Now, we can compare the distances:

Yangtze River: 6337.9066 kilometers

Nile River: 6608 kilometers

Based on these measurements, the Nile River is longer than the Yangtze River by approximately 270.0934 kilometers (rounded to four decimal places).

The statement is False. The rectangular coordinates corresponding to the cylindrical coordinates (2, π, -4) are not (-2, 0, 4).

Cylindrical coordinates consist of three components: the radial distance (ρ), the azimuthal angle (θ), and the height (z). The conversion from cylindrical coordinates to rectangular coordinates involves using trigonometric functions. The formulas for the conversion are:

x = ρ * cos(θ)

y = ρ * sin(θ)

z = z

Given the cylindrical coordinates (2, π, -4), we can plug the values into the conversion formulas:

x = 2 * cos(π) = -2

y = 2 * sin(π) = 0

z = -4

Therefore, the rectangular coordinates corresponding to the cylindrical coordinates (2, π, -4) are (-2, 0, -4), not (-2, 0, 4).

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In multiple regression analysis, the correlation among the independent variables is termed as d. multicollinearity.

Basically, multiple regression analysis means a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables.

If the independent variables of the regression analysis is correlated, the it is called as multicollinearity.

Therefore, the option (d). multicollinearity is the answer

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