Molly si selling bracelets and necklace at a crack fair . The cost of 4 bracelets and 3 neckclace is 23.50. The cost of 5 bracelets and 2 necklace is 21.50. A custumer bought 1 bracelet and 1 necklace. How Mich money did the custumer spend?

The value x = 3 will result in the greatest relative frequency given discrete random variable X.

What is relative frequency?

A frequency is the number of times an event takes place. It's experimental, not theoretical, to study relative frequency. As it is an experimental one, it is likely that when we repeat the trials, we will get different relative frequencies.

The relative frequency of a discrete random variable increases with decreasing variable value.

This implies that,

A variable with x = 0 would occur more frequently than one with x = n, where n > 0.

So, the greatest relative frequency given discrete random variable X, when X ∼ B (4, 1/10) is  x = 3.

Hence, the value x = 3 will result in the greatest relative frequency given discrete random variable X.

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Answer:

Step-by-step explanation:

180-55-85=180-140=40

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 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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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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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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The result of 2/3 in decimals is 0.667

To convert a fraction to a decimal, you simply need to divide the numerator (the top number) by the denominator (the bottom number).

In this case, we have:

2 ÷ 3 = 0.666666...

This decimal representation of 2/3 is a repeating decimal, which means that the digit 6 repeats indefinitely.

To write this number as a decimal with a finite number of decimal places, we can round it off to a certain number of decimal places.

For example, rounding to two decimal places gives:

2/3 ≈ 0.67

Rounding to three decimal places gives:

2/3 ≈ 0.667

And so on. The number of decimal places to which you round depends on how precise you need the answer to be.

Therefore, 2/3 is 0.667

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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:

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: 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.

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.

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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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 conversion of 5kg in pounds is 11.0231 pounds (rounded to four decimal places).

A kilogram is greater than a pound. I know that a kg is greater than a lb because of something called conversion factors.

Put very simply, a conversion factor is a number that can be used to change one set of units to another, by multiplying or dividing it. So when we need to convert 5 kilograms into pounds, we use a conversion factor to get the answer.

The conversion factor for kg to lb is:

1 kg = 2.2046244201838 lb

Now that we know what the conversion factor is, we can easily calculate the conversion of 5 kg to lb by multiplying 2.2046244201838 by the number of kilograms we have, which is 5.

5 x 2.2046244201838 = 11.023122100919 lb

To convert 5kg to pounds, you can use the conversion factor of 2.20462 pounds per kilogram. Multiplying 5kg by this conversion factor gives:5 kg * 2.20462 pounds/kg = 11.0231 pounds.

Therefore, 5kg is equivalent to 11.0231 pounds (rounded to four decimal places).

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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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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 drama club must sell at least 73 adult tickets in addition to the 66 student tickets in order to meet the show's expenses.

Let's start by using algebra to solve the problem. Let x be the number of adult tickets sold. Then, we can write the following equation for the total ticket sales:

5.50(66) + 7.50x = total ticket sales

We know that the drama club must make at least $910 from ticket sales, so we can write:

5.50(66) + 7.50x ≥ 910

Multiplying out the first term and subtracting 363 from both sides, we get:

7.50x ≥ 547

Dividing both sides by 7.50, we get:

x ≥ 72.93

Since we can't sell a fraction of a ticket, the drama club must sell at least 73 adult tickets to meet the show's expenses. Therefore, the minimum number of adult tickets the drama club must sell is 73.

In conclusion, the drama club must sell at least 73 adult tickets in addition to the 66 student tickets in order to meet the show's expenses.

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The chain rule is a formula used in calculus to find the derivative of a composition of functions. It is an important tool for solving problems in many areas of mathematics and science.

The chain rule formula can be stated as follows:

If y = f(g(x)), then the derivative of y with respect to x is given by:

dy/dx = (df/dg) * (dg/dx)

In other words, the derivative of y with respect to x is equal to the derivative of f with respect to g, multiplied by the derivative of g with respect to x.

Here, f and g are functions of x, and y is a function of g. The chain rule formula tells us how to find the derivative of y with respect to x, by taking into account the effect of both f and g on the function y.

The chain rule can be extended to more complex compositions of functions, by applying the formula repeatedly. For example, if y = f(g(h(x))), then the chain rule can be applied twice, as follows:

dy/dx = (df/dg) * (dg/dh) * (dh/dx)

This formula tells us how to find the derivative of y with respect to x, by taking into account the effects of all three functions f, g, and h on the function y.

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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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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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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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Answer:

False

Step-by-step explanation:

This is the  POINT -SLOPE form

Answer:

(-4, 1)

Step-by-step explanation:

x - 5(x + 5) = -9

x - 5x - 25 = -9

-4x - 25 = -9

-4x = 16

x = -4

y = -4 + 5

y = 1

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)

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)

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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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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