The table below shows all of the possible outcomes for rolling two six-sided number cubes.

What is the probability of rolling an even number first and an odd number second?

The evaluate the value of the expression a(n) is control condition.

Here we have given that to provide a comparison for evaluating the effects of a specific treatment, experimenters make use of a(n).

Here we know that when carrying out an experiment, then the control condition is set up to provide a baseline against which the result of the experiment can be compared.

Here we have to take the example that is when measuring the effects of a new medication, then the control group is usually set up and the members of the group are given a placebo.

Therefore this will not contain any of the active ingredients of the medicine and it acts as a way to evaluate the real effects of the medication.

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The fundamental theorem of algebra any polynomial was first proved by Carl Friedrich Gauss in 1799.

In 1799, Carl Friedrich Gauss was a German mathematician who proved that any polynomial equation with complex coefficients has at least one root in the complex plane. This is known today as the Fundamental Theorem of Algebra. Gauss started by examining a particular polynomial equation and then used his knowledge of the properties of polynomial functions to prove that any polynomial equation with complex coefficients must have at least one complex root. His proof used a combination of calculus and algebraic manipulations to establish that the coefficients of a polynomial equation must satisfy certain conditions in order for the equation to have a complex root. Once these conditions are satisfied, he showed that the equation must have at least one complex root.

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One pound of chicken will cost ${x/y} and one pound of fish will cost ${B/A}.

Given is the price per pound for chicken and the price per pound of the fish.

        {y} pound of chicken costs ${x}

        {1} pound of chicken will cost ${x/y}

        {A} pound of fish costs ${B}

        {1} pound of fish will cost ${B/A}

Therefore, {1} pound of chicken will cost ${x/y} and  {1} pound of fish will cost ${B/A}.

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The probability that exactly 4 of the 8 diamonds picked from the bag are real diamonds is 28/256 or 11.1%.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 meaning the event is impossible and 1 meaning the event is certain to occur. Probability theory is used to make predictions and calculate the chances of different outcomes in order to make decisions. Probability theory can also be applied to understand the behavior of complex systems.

This is calculated by first determining the total amount of possible outcomes. Out of the 8 diamonds picked, there are 8C4 = 70 ways in which the 4 real diamonds can be chosen. With 8 real diamonds and 7 fake diamonds, the probability of a real diamond being chosen is 8/15, and the probability of a fake diamond being chosen is 7/15. Therefore, the probability of having exactly 4 real diamonds is 70 x (8/15)^4 x (7/15)^4 = 28/256.

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Step-by-step explanation:

so, write that down mathematically :

7 - k×43 = k

to bring k to only one side of the equation we add e.g. 43k to both sides (it is important to perform any operation on an equation always on both sides, otherwise the equality relation is destroyed)

7 - 43k + 43k = k + 43k

7 = 44k

k = 7/44

Answer:

The graph looks like the image below.

Step-by-step explanation:

-2x means that every time x increases by 1, y increases by -2.

When y increases by -2, y decreases by 2.

Hence, as the x-value increases by 1, the y-value decreases by 2.

Also, the graph goes through the point (0, 0) since when x=0, y=0:

y=-2x ==> 0 = -2(0)

The solution for the given quadratic equation is  x = -11 or x = -1.

A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.

The standard form of a quadratic equation is ax² + bx + c = 0.

Where a, b and c are constants.

here, given that,

The given quadratic equation is,

x² + 12x + 11 = 0.

The graph of the equation is, plotted below.

From the graph,

The solutions are x = -1 and x = -11

The second approach to find the solution for the given quadratic equation is factorization method,

x² + 12x + 11 = 0

x² + 11x + x + 11 = 0

x(x + 11) + 1(x + 11) = 0

(x + 11) (x + 1) = 0

x = -11 or x = -1

So, the required solution is x = -11 or x = -1.

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According to the  management at Oak Tree Golf Course received a few complaints about the condition of the greens. and with the Several players complained that the greens are emerged too fast. Rather than to  react towards  the comments of just a few, the Golf Association conducted in a survey of male and female golfers.

One of the biggest things  in holding  along with mid- and high-handicappers back is hitting more greens in regulation, mainly because  of it’s the key (usually) to stress-free two-putt pars and  to the occasional birdie. It’s also  one of the best way to eliminate certain trouble. If mid- or high-handicappers are missing around the  greens, that’s when problems can pile up into picture . But we all need  certain goals.  to Tina Tombs, a former LPGA pro and to  a GOLF Top 100 Teacher, said a high-handicapper should set an certain  goal at seven greens in regulation, while a lower handicap should be  strive for 10 per round.

If they aren’t carrying any of the 200 yards, then they should play 6,000 or less then that and they don’t do that in terms of the Preisinger says. Because when you wanted to  play too far back you can have four or five penalty shots off  around the tee.

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Answer:

C) [tex]x^{3} + 3x^{2} + 3x - 1[/tex]

Step-by-step explanation:

We have our equations. So, we will substitute them in our last equation, giving us:

[tex](x + 1) * (x^{2} + 2x - 1) + 2x[/tex]

Opening the parentheses gives us:

[tex]x^{3} + 2x^{2} - x + x^{2} + 2x - 1 + 2x[/tex]

Combining like terms:

[tex]x^{3} + 2x^{2} + x^{2} + 2x - x + 2x - 1[/tex]

Then, we combine:

[tex]x^{3} + 3x^{2} + 3x - 1[/tex]

So, your answer is C) [tex]x^{3} + 3x^{2} + 3x - 1[/tex].

Hope this helped!

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The equation representing the polynomials are D = x³ + 3x² + 3x - 1

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as D

Now , the value of D is

Substituting the values in the equation , we get

A = x + 1

B = x² + 2x - 1

C = 2x

The value of AB + C = D

And , AB = ( x + 1 ) ( x² + 2x - 1 )

On simplifying the equation , we get

AB = x ( x² + 2x - 1 ) +  ( x² + 2x - 1 )

AB = x³ + 2x² - x + x² + 2x - 1

AB = x³ + 3x² + x - 1

And , D = x³ + 3x² + x - 1 + 2x

D = x³ + 3x² + 3x - 1

Hence , the equation is D = x³ + 3x² + 3x - 1

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No, it is not possible to construct the triangle with the given sides measurement of 5.4 cm, 2.3 cm, 3.1 cm .

As given in the question,

In the given triangle,

Measurement of the sides of the triangle are  given by :

5.4 cm, 2.3 cm, 3.1 cm

To construct a triangle we need to follow the following property:

Sum of the measure of two sides of the triangle should be greater than the third side.

In the given measures:

( 2.3 + 3.1 ) cm = 5.4 cm which is equal to third side.

The property does not holds true.

Therefore, to construct a triangle with the given measure of the sides is not possible.

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Car Y offers you more mileage than Car X per gallon.

The mileage of a vehicle is the number of miles that it can travel using one gallon or litre of fuel or gasoline.

To find the mileage per gallon, we find the distance that each car can travel using 1 gallon of gasoline.

For Car X,

Mileage = No. of miles/No. of gallons

= 120/11 = 10.909

For Car Y,

Mileage = No. of miles/No. of gallons

= 100/9 = 11. 11

Therefore, marginally, Car Y has the better mileage.

Thus, Car Y offers you more mileage than Car X per gallon.

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By calculating, If 10% of 170 is 17, then 90% of 170 is 153 is true.

What is Algebraic expression ?

Algebraic expressions are mathematical phrases that combine numbers, variables, and operations (like addition, subtraction, multiplication and division). They provide a way to represent and analyze mathematical relationships. Examples of algebraic expressions include "3x + 5" and "6y - 3x".

Given expression,

10% of 170

10/100 * 170

= 17

which is equals to RHS

Then,

90% of 170

= 90/ 100 * 170

= 9*17

= 153

which is also equals to RHS .

And the yes the given expressions are true.

Hence, If 10% of 170 is 17, then 90% of 170 is 153 is true.

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The requried value of given expression when a = 7 and b = 28 is 125.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
Given expression,
(a + b)² = a² + b² + 2ab
We have,
a = 7 and b = 28
(7 + 28)² = 7² + 28² + 2 × 7 × 28
35² = 49 + 786+ 392
125 = 125

Thus, the requried value of given expression when a = 7 and b = 28 is 125.

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The mistake in Tina's total of numbers is she written the product of 0 and 1 as 1 instead of 0.

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

Given that, Tina also worked out the total number of points scored by the 16 students in the game.

(0×1)+(1×3)+(2×5)+(3×4)+(4×3)=0+3+10+12+12=37

Tina made a mistake in her working to find the total number of points scored, she written the product of 0 and 1 as 1.

Therefore, the mistake in Tina's total of numbers is she written the product of 0 and 1 as 1 instead of 0.

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Answer: The perimeter of the shape is approximately 18.0 feet.

Step-by-step explanation:

The shape you described is a triangle, with one side of 8 feet and two sides of 5 feet. To find the perimeter of a triangle, we add up all the side lengths:

Perimeter = 8' + 5' + 5'

Perimeter = 8' + 10'

Perimeter = 18'

Rounding to the nearest tenth:

18 feet is the same as 18.0 feet rounded to the nearest tenth.

So, the perimeter of the shape is approximately 18.0 feet.

Answer:

[tex]y < 1[/tex]

Step-by-step explanation:

[tex]8y - 5 < 3 \\ 8y < 8 \\ y < 1[/tex]

When the person has been dead for 2 minutes and comes back their experience of 2 minutes dead then we call that the person is suffering from Lazarus Syndrome .

What is Lazarus Syndrome ?

The Lazarus syndrome is referred as to your blood circulation returning spontaneously after your heart stops beating and it fails to restart despite providing  cardiopulmonary resuscitation (CPR).

In Simple words it can be called as returning to life after it appears that the person has  died.

So, if the person comes back to life after experience of 2 minutes of dead , then we say that the person has Lazarus Syndrome and got a heart attack .

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The width of the last little parallelogram, 10/3, is determined by the provided statement.

Furthermore, despite the fact that this is never the case, every rhombus is considered to be a parallelogram. A quadrilateral is a form that is flat. They arrive in quartets. A parallelogram is formed by two opposing sides that are flat and proportional to one another. Parallelograms come in 4 distinct varieties, including 3 unique varieties. Rhombuses, triangular shapes, cubes, and squares are the four types.

The diagonal area products are equal.

Divide the two sides by 6 20/6 = x = 10/3 since 4*5 Equals 6 * x 20 Equals 6 * x

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The complete question is-

A large parallelogram is divided into four small parallelograms as shown. The areas of three of the four small parallelograms are labeled in the diagram. What is the area of the remaining small parallelogram?

In the graph the letter "J" has a height of 17 units.

What is a graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

According to the graph the distance from A to B is horizontal, so it need not be counted.

From B to C the distance is = 3 units

Again from C to O the distance is horizontal, so it need not be counted.

From O to D the distance is = 10 units

From D to E the distance is = 4 units

From E to F the distance is horizontal, so it need not be counted.

The distance from F to N need not be counted as it will be the repetition of the total height.

So, the total height is = 3 + 10 + 4 = 17 units

Therefore, the total height on the graph is 17 units.

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Answer: 51

Step-by-step explanation: 24^2+45^2=C

24*24=576

45*45=2025

576+2025=2601

Square root of 2601 is 51

Answer:

b = 4+15

b =19

Step-by-step explanation:

5x^2 + bx + 12 = 0

the sum of its roots = –b/a

m + n = - b/a

-4/5 + n = -b/5

-4 + 5n = -b

5n= -b + 4 -------------1

product of its roots = c/a

m*n = c/a

-4/5 * n = 12/5

-4 n = 12

n = -3 is the other root -------------2

Plug-in equation 2 in 1

5(-3) = -b + 4

-15 = -b + 4

b = 4+15

b =19

One of the solutions to the equation 5x^2+bx+12=0 is -4/5.the other solution is 2.4 + (-4/5) = 2.

The other solution to the equation 5x^2+bx+12=0 can be found by using the fact that the solutions of a quadratic equation of the form ax^2+bx+c=0 are given by the formula: x = (-b ± √(b^2-4ac)) / 2a.

In this case, a=5, b=b and c=12. We know that the product of the roots is equal to c/a and sum of roots is equal to -b/a. so the product of the roots is 12/5 = 2.4and the sum of the roots is -b/5 .

since we know that one of the solutions is -4/5, we can find the other solution by using the above formulas: -4/5 = 2.4 - other solution so the other solution is 2.4 + (-4/5) = 2.

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Two sets of possible dimensions for the rectangular pyramid that uses the same amount of clay as the rectangular prism are 2 inches base and 1.5 inches height, and 3 inches by a 1-inch base and 1-inch height.

The volume of the rectangular prism is 6 inches * 1 inch * 1/2 inch = 3 cubic inches. To determine the possible dimensions for the pyramid, we need to find the dimensions that will give us the same volume.

One set of possible dimensions for the pyramid would be a base that is 2 inches by 2 inches, and a height of 1.5 inches. This would give a volume of 2 inches * 2 inches * 1.5 inches / 3 = 2 cubic inches, which is the same as the original rectangular prism.

Another set of possible dimensions would be a base that is 3 inches by 1 inch and a height of 1 inch. This would give a volume of 3 inches * 1 inch * 1 inch / 3 = 1 cubic inch, which is the same as the original rectangular prism.

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Answer:

0.00746696035

Step-by-step explanation:

3.39/454 = 0.00746696035

Rounded that would only be 1 cent per kg.  Hummmppp....

The researchers have increased the power of their analysis by increasing the sample size.

The number of subjects involved in a sample size is referred to as the sample size in market research.

Examine 15 randomly selected groups of subjects.

There are five main ways to increase the power of an experiment or study: increase the alpha level, decrease random error, conduct a one-tailed test, expand the sample size, or increase the effect size. Of these, only the first option, which increases the sample size, will increase power.

Thus, the researchers have increased the power of their analysis by increasing the sample size.

Complete question: As one step in the statistical analysis of the effectiveness of CHW intervention, researchers calculated the average percentage of postnatal care use found in 10 randomly selected groups of 50 mothers. How could the researchers have increased the power of their analysis?

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(1) Han ate: x(1 - 3/4) = x/4. (2) Clare skated: x(1 + 3/5) = 8/5x.

What is algebraic expression ?

An algebraic expression is a mathematical phrase that can include numbers, variables, and operations. It represents a value or a set of values, but it does not provide a specific numerical result until the variables are replaced with specific numbers.

(1) Let's say x is the number of fruit snacks Tyler ate.

Han ate 3/4 less than that, so the expression for the number of fruit snacks Han ate would be x - (3/4)x = x(1 - 3/4) = x/4.

(2) Let's say x is the number of miles Mai skated.

Clare skated 3/5 farther than that, so the expression for the distance Clare skated would be x + (3/5)x = x(1 + 3/5) = 8/5x.

(1) Han ate: x(1 - 3/4) = x/4. (2) Clare skated: x(1 + 3/5) = 8/5x.

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The given graph is not symmetric with respect to the y-axis. Hence, this is not  even function.

What is Function?

A relation between a collection of inputs and outputs is known as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function.

An example of a rule is a function, which produces one output for a single input.

If the graph of a function is symmetric with respect to the y-axis, then it is said to be an even function. Otherwise, it is odd function.

The given graph is not symmetric with respect to the y-axis. Hence, this is not  even function.

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