What is the conversion of 500g to oz?

The sample space of possible outcomes are S=​ {(B,1),(B,2),(B,3),(B,4),(B,5),(B,6),(R,1),(R,2),(R,3),(R,4),(R,5),(R,6)}.

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.

Given that, a person draws a playing card and checks its color and then spins a six-space spinner.

The sample space of possible outcomes using B, R for the card outcomes and 1, 2, 3, 4, 5, 6 for the spinner outcomes.​

The sample space is S=​ {(B,1),(B,2),(B,3),(B,4),(B,5),(B,6),(R,1),(R,2),(R,3),(R,4),(R,5),(R,6)}.

Therefore, the sample space of possible outcomes are S=​ {(B,1),(B,2),(B,3),(B,4),(B,5),(B,6),(R,1),(R,2),(R,3),(R,4),(R,5),(R,6)}.

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"Your question is incomplete, probably the complete question/missing part is:"

If a person draws a playing card and checks its color and then spins a six-space spinner​, describe the sample space of possible outcomes using B, R for the card outcomes and 1, 2, 3, 4, 5, 6 for the spinner outcomes.​ (Make sure your answers reflect the order​ stated.)

The sample space is S=​{   ​}.

​(Use a comma to separate answers as​ needed.)

The simplest way to calculate a square root is determined by the size of the number to be squared and your level of mathematical comfort. Here are some methods to consider:

Calculator: Using a calculator is the simplest way to calculate a square root. To find the square root of a number, most calculators have a square root function. Enter the number and then press the square root button.

Estimation: You can use estimation to find an approximate value for the square root of a number. To find the square root of a number, round it to the nearest perfect square (e.g. if you want to find the square root of 15, round it to 16). Then, calculate the square root of the perfect square (in this case, 4), and use that as an estimate.

Long Division: Long division is another method for determining the square root of a number. This method takes longer, but it can be used to calculate the exact value of the square root. Many guides and tutorials are available online to help you learn how to perform long division for square roots.

Using logarithms: A more advanced method for determining the square root of a number is to use logarithms. This method entails taking the number's logarithm, dividing it by 2, and then taking the antilogarithm of the result. This method is useful for calculating the square roots of very large numbers.

Otherwise, Vedic mathematics is a techniques which help in calculation of long and tricky problems or equations.

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Answer:

x = 1.3

Step-by-step explanation:

cost of rice for 12kg = 12 * x ($x for each kg)

cost of potatoes for 7kg = 7 * (x+1)

total cost = 12 * x + 7 * (x+1) = 31.7

12x + 7x + 7 = 31.7

19x + 7 = 31.7

subtract 7 from both sides to isolate the variable and its coefficient

19x = 24.7

divide both sides by 19 to find x

x = 1.3

Answer:

False

Step-by-step explanation:

This is the  POINT -SLOPE form

Answer:3.5

Step-by-step explanation:

Answer:

x^2 - x + 2.

Step-by-step explanation:

Answer:

x² - x + 2

Explanation

Work out using the given functions to set up and simplify (f + g) (x)

Brackets are used for multiplication to expand and simplify an expression.

We must multiply out the brackets in order to extend and simplify an expression. The resulting phrase is then made simpler by grouping like terms together. Our method for removing brackets is known as expanding brackets or multiplying them out. Factorization is being done in reverse.

In some non-standard or informal contexts, such as with some programming languages or computer systems, brackets are employed as multiplication signs. When accessing items of an array or list in various programming languages, square brackets may also be used to denote multiplication in specific circumstances. As an example, the formula 2(3) instructs you to multiply 2 by 3 to generate the number 6.

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Significant digits, also known as significant figures, refer to the digits in a quantity that are considered to be reliable and meaningful based on the precision of the measurement.

The significant digits in a given quantity include all the digits that are known with certainty, as well as one uncertain digit that is estimated based on the measurement's precision.

For example, if the length of a table is 1.23 metres, the digits "1," "2," and "3" are all significant, whereas the digit "0" is not significant because it is just a placeholder.

The number of significant digits in a number is determined by the measurement instrument or method used.

For example, if you use a centimeter-marked ruler to measure the length of a table, you can estimate the length to the nearest millimetre, implying that the last digit is uncertain and estimated. Because you have three certain digits and one estimated digit, the number of significant digits in this case is three.

When performing mathematical operations on numbers with varying numbers of significant digits, the result should be rounded to the same number of significant digits as the least precise measurement. This is necessary to maintain the calculation's accuracy and precision.

Understanding significant digits is essential for precise scientific measurements and calculations. It can aid in the prevention of errors and the production of reliable and meaningful results.

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A correlation coefficient based on an observational study cannot be used to support a claim of cause and effect. The correct answer is A: never.

Correlation does not imply causation, and while a strong correlation between two variables may suggest that there is a relationship between them, it does not prove that one variable causes the other. Observational studies are particularly susceptible to confounding variables, which can make it difficult or impossible to determine whether a relationship between two variables is causal or not.

To establish causality between two variables, a randomized controlled experiment is required. In a randomized controlled experiment, the experimenter can manipulate the independent variable and observe the effect on the dependent variable, while controlling for other variables that might affect the outcome. By randomly assigning subjects to different treatment groups, the experimenter can ensure that any differences in the outcome between groups are due to the treatment, rather than some other factor.

Therefore, while a correlation coefficient can be a useful tool for describing the relationship between two variables, it cannot be used to establish causality.

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The coordinates of P' are (-√3, 1).

Given that P is located on a circle with a radius of two and an origin at its centre, the following trigonometric ratios can be used to determine P's coordinates:

Sin is equal to the opposite/hypotenuse and cos is equal to the adjacent/hypotenuse.

P's coordinates are as a result:

y = 2 sin = 2(1/2) = 1 and x = 2 cos = 2(3/2) = 3.

The x-coordinate of P' will be the opposite of the x-coordinate of P since P and P' are symmetrical about the y-axis, or x' = -3. P' will have the same y-coordinate as P, meaning that y' = 1. Hence, P's coordinates are (-3, 1).

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Standard deviation variance squared is the measure of dispersion the most often used, along with the standard deviation, that is simply the square root of the variance.

In the standard deviation of squared variance, the variance is the mean squared difference between the each data point and the center of the distribution, measured by mean. The larger the squared value of the standard deviation variance, the more spread out the data.

It is calculated keeping in mind the square of standard deviation. And  provides measure of the dispersion that is more sensitive to extreme values ​​in the dataset than standard deviation alone.

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Answer:

x=180

Step-by-step explanation:

The equation of the axis of symmetry for the parabola is x = 2.

What is the axis of symmetry?

The object's shape is symmetrical because of the axis of symmetry, which is a straight line. On each of its sides, the axis of symmetry produces an exact reflection. It might be lateral, vertical, or horizontal. The two sides of an object are the same if we fold and unfold it along the axis of symmetry. Different shapes have various symmetry lines. There are four lines of symmetry in a square, two lines in a rectangle, infinite lines in a circle, and no lines of symmetry in a parallelogram. There are n axes of symmetry in a regular polygon with n sides.

Given equation of the parabola is

y = 2/3 (x - 2)² - 5

The general form of a parabola is y = a(x - h)² + k.

The vertex of the parabola is (h,k).

The equation symmetric axis is x = h.

Now compare the equation y = 2/3 (x - 2)² - 5 with y = a(x - h)² + k:

a = 2/3, h = 2, k = -5

The equation of the axis of symmetric is x = 2.

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Answer:

3/4

Step-by-step explanation:

Answer:

The slope is [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

We are given two points (2,5) and (-2,2). If we need to find the slope, there are two methods which we can use to find the slope.

Method 1: Count the slope

We can use [tex]\frac{rise}{run}[/tex] to count the slope.

Counting the slope, we get [tex]\frac{3}{4}[/tex] which cannot be simplified.

Method 2: Slope formula

We can use the formula [tex]\frac{y2-y1}{x2-x1}[/tex] to find the slope as well.

We just have to plug in our coordinates into the formula to get the answer.

[tex]\frac{2-5}{-2-2}[/tex]

Evaluate

[tex]\frac{-3}{-4}=\frac{3}{4}[/tex]

The slope of a line perpendicular to the given line is -6/5.

To find the slope of a line perpendicular to another line, we need to take the negative reciprocal of the slope of the original line.

The given equation is:

10x - 12y = -24

To find the slope of this line, we can rearrange the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

First, we can subtract 10x from both sides:

-12y = -10x - 24

Then, we can divide both sides by -12 to isolate y:

y = (5/6)x + 2

Therefore, the slope of the original line is 5/6.

To find the slope of a line perpendicular to this line, we need to take the negative reciprocal of 5/6. The negative reciprocal is -6/5.

Therefore, the slope of a line perpendicular to the given line is -6/5.

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He would have to pay a total of $30 + $10 xx.

What is the basic arithmetic operation?

The four basic mathematical operations are Addition, subtraction, multiplication, and division.

If David used 4 GB over the limit, he used a total of 6 + 4 = 10 GB of data that month. Since he was charged $10 per GB over the included amount, he would have to pay an extra $10 x 4 = $40 in addition to the base $30 cost.

Therefore, he would have to pay a total of $30 + $40 = $70 that month.

If David went over the limit by xx GB, he would have used a total of 6 + xx GB of data that month.

Therefore, he would have to pay an extra $10 x xx in addition to the base $30 cost.

Hence, he would have to pay a total of $30 + $10 xx.

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Answer: 88 1/2

Step-by-step explanation:

easy

Answer:

89

Step-by-step explanation:

Step-by-step explanation:

just keep in mind :

i = sqrt(-1)

that is all we need to know.

from there we know the forever repeating group of 4 "power of i" values :

i¹ = i

i² = sqrt(-1)² = -1

i³ = i²×i = -1×i = -i

i⁴ = i²×i² = -1×-1 = 1

and this repeats now over and over again with the following powers :

i⁵ = i⁴×i = 1×i = i

i⁶ = i⁴×i² = 1×-1 = -1

i⁷ = i⁴×i³ = 1×-i = -i

i⁸ = i⁴×i⁴ = 1×1 = 1

and so on and so on ...

so,

i⁸¹ = i⁸⁰×i = (i⁴)²⁰×i = 1²⁰×i = 1×i = i

i⁵² = (i⁴)¹³ = 1¹³ = 1

i⁹⁹ = i⁹⁶×i³ = (i⁴)²⁴×i³ = 1²⁴×-i = 1×-i = -i

i⁶⁶ = i⁶⁴×i² = (i⁴)¹⁶×i² = 1¹⁶×-1 = 1×-1 = -1

for such questions always look for the modulo (remainder) result when dividing the exponent by 4. and then use the first list or table above.

Answer:

1 Pizza

Step-by-step explanation:

10 times 2 is 20. 20 is how many pizza slices in the box, so they only need 1 pizza.

The output of the following code fragment

int x=0;

while( x < 5)

cout << x << endl;

x ++;

cout << x << endl; will be  0, 1, 2, 3, 4, 5.

The code initializes the variable x to 0, and then enters a while loop that will execute as long as x is less than 5. During each iteration of the loop, the value of x is output to the console using the cout statement, followed by a new line character.

After the cout statement, x is incremented by 1 using the x++ statement. This process is repeated until x is equal to 5, at which point the loop terminates. Finally, the value of x is output to the console using the cout statement, followed by a new line character, giving the output of 5.

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Answer:

13.5

Step-by-step explanation:

9/6 = 1.5

1.5 x 9 = 13.5

The solution to the inequality is x ≤ 1.

Inequality in mathematics is when two values are not equal. It can be expressed using symbols such as >, <, ≥ and ≤. This can be used to compare two values, express a range of values, or indicate that one value is greater or less than another. Inequality is a powerful tool for solving mathematical problems, as it can be used to deduce relationships between different variables.

To solve this inequality, we must first perform the operations on the left side of the equation to get an expression equal to 4. We can start by simplifying the fraction on the left side of the equation. We can multiply both the numerator and denominator by x, which will give us 5x - 3 = x + 2x. We can then add 3 to both sides to get 5x = 3 + 2x, which can then be simplified to 3x = 3. Finally, we can divide both sides by 3 to get x = 1. Therefore, the solution to the inequality is x ≤ 1.

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Answer: The tape diagram that represents the problem is the second (7/3)

Step-by-step explanation:

3/7 isn't 7/3, and 7/7 isn't 7/3. By process of elimination, the second answer works; 7/3 = 7/3.

The probability that a student took both music and dance classes is 0.1.

Probability in mathematics is the possibility of an event in time. In simple words how many times does that incident is happening in any given time interval?

From the information given, we know that:

35 students took music classes, which includes x and y.

45 students took dance classes, which includes y and z.

30 students did not take either music or dance classes, which includes the area outside the circles.

We can also see that the total number of students is 100, so the sum of all the areas in the Venn diagram must be 100.

Therefore, we can set up the equation:

x + y + z + 30 = 100

Simplifying, we get:

x + y + z = 70

We want to find the probability that a student took both music and dance classes, which is the area of the overlap between the music and dance circles (represented by y) divided by the total number of students (100).

So, the probability is:

y/100

To find y, we can use the formula:

y = (total in music) + (total in dance) - (total in both)

y = 35 + 45 - (x + y + z)

Substituting x + y + z = 70, we get:

y = 35 + 45 - 70 = 10

Therefore, the probability that a student took both music and dance classes is:

y/100 = 10/100 = 0.1

Therefore, the probability is 0.1 or 10%.

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The preferred method to know the price of the scooter is

The question is a percentage problem

10%

= 10 percent

= 10 / 100

= 0.1

Since the problem is about discount of 10 % .

= 1 - 0.1

= 0.9

The sale price using the factor of 0.9

= $42 * 0.9

This method is more straight forward and gives the correct answer

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Answer:

(7,3)

Step-by-step explanation:

Our point is (7, -3)

Across the x-axis, which means the y will change to be opposite, so the answer is

(7,3)

The Law of Cosines is a formula that relates the side lengths and angles of any triangle, expressed as c^2 = a^2 + b^2 - 2abcos(C).

The Law of Cosines is a numerical formula that relates the side lengths and points of any triangle. It expresses that the square of any side of a triangle is equivalent to the number of squares of the other different sides short two times the result of those sides and the cosine of the point between them. Numerically, the Law of Cosines can be communicated as c^2 = a^2 + b^2 - 2abcos(C), where c is the length of the side inverse to the point C, and an and b are the lengths of the other different sides.

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We see that both sides are equal, so we can conclude that Camila's solution is correct.

If Camila solved the equation by subtraction and found that n + 17 = 39, then she must have subtracted 17 from both sides to isolate the variable n:

n + 17 - 17 = 39 - 17

n = 22

Therefore, her solution is n = 22.

To check her solution, we can substitute n = 22 back into the original equation and see if it satisfies the equation:

n + 17 = 39

22 + 17 = 39

39 = 39

Since both sides of the equation are equal when n = 22, we can say that her solution is correct.

Alternatively, we can simplify the left-hand side of the equation and compare it to the right-hand side:

n + 17 = 39

22 + 17 = 39

39 = 39

Again, we see that both sides are equal, so we can conclude that Camila's solution is correct.

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Answer:

3.542

Step-by-step explanation:

7 1/6 - 3 5/8 = (85/24) = 3(13/24) ≅ 3.5416667.

7⅙ - 3⅝ = 8524 = 3 1324 ≅ 3.5416667 (simplified) = 3.542