Ms. Grove has trays of paint for students in her art class. Each tray has 5 colors. One of the colors is purple. What fraction it the colors in 20 trays is purple?

The x-value that corresponds to the z-score -1.28 is 59.0

z-score=(x-value - Mean)/(Standard deviation)=-1.28;

or, x-value=Mean-1.28*Standard deviation=68-1.28*7=59.04=59.0 (rounded to the nearest tenth)            

where, Mean=68, Standard deviation=7.                

The x-value that corresponds to the z-score -1.28 is 59.0          

Both the terms standard deviation and mean are used in statistics. Standard deviation is a statistic that measures the distance from the mean and is calculated as the square root of variance by determining the position of each data point in relation to the mean. In the world of finance, standard deviation is extremely important. When applied to an investment's annual rate of return, standard deviation is a statistical measurement in finance.    

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The complete question is given below

The scores on a mathematics exam have a mean of 68 and a standard deviation of 7. Find the x-value that corresponds to the z-score -1.28. Round the answer to the nearest tenth.                          

The solution for the equation is,

1. x = 2 and y = 1

2. no solution

3. y = 0 and x = 11

4. x = 4/3 and y = 10/3

How do linear equations work?

Since each term in a linear equation has an exponent of 1, graphing an algebraic equation always yields a straight line. It is called a "linear equation" because of this.

There are linear equations with one variable and those with two variables.

Given sets of equations,

1. x - y = 1

x + y = 3

add both the equations we get,

x - y + x + y = 1 + 3

2x = 4 (+y and -y eliminated)

x = 4/2 = 2

substitute value of  x

x + y = 3

2 + y = 3

y = 3 - 2 = 1

x = 2 and y = 1

2.  x + y = 1

x + y = 11

The two lines that are used to symbolize the equations in this instance are parallel, hence the problem has no solution.

3. x + 4y = 11

x - 6y = 11

We may remove the equations since x is a common constant in both equations.

x + 4y -(x - 6y) = 11 - 11

4y + 6y = 0

y = 0 and x = 11

4. -3x + 3y = 6

6x + 3y = 18

subtract equation 1 from 2

6x + 3y -(-3x + 3y) = 18 - 6

6x - 3y + 3x - 3y = 12

9x = 12

x = 12/9 = 4/3

substitute value of x

-3x + 3y = 6

-3(4/3) + 3y = 6

-4 + 3y = 6

y = 10/3

Hence the solution is 1. x = 2 and y = 1

2. no solution,

3. y = 0 and x = 11

4. x = 4/3 and y = 10/3.

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Answer: (y-6)/3

Step-by-step explanation:

6x = 2y - 12

x = (2y - 12)/6 = (y-6)/3

(I can only put x in terms of y because you only provided one equation)

The equation of linear function f with the given values f(0) = 5 f(9) = -4 is,

⇒ f (x) = - x + 5

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The given values are,

⇒ f(0) = 5 and f(9) = -4

Now,

Let a linear equation is,

⇒ f (x) = ax + b

Here,  f(0) = 5

So, We get;

⇒ f (0) = a × 0 + b

⇒ 5 = b

⇒ b = 5

And, f(9) = -4

So, We get;

⇒ f (9) = a × 9 + 5

⇒ - 4 = 9a + 5

⇒ 9a = - 4 - 5

⇒ 9a = - 9

⇒ a = - 1

So, The linear equation is,

⇒ f (x) = ax + b

⇒ f (x) = - x + 5

⇒ y = - x + 5

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In mathematics, inequality refers to a relationship between two expressions or values that is not equal to one another.

A connection in mathematics that compares two numbers or other mathematical expressions in an unequal way is known as an inequality. It is most frequently used to compare the sizes of two numbers on the number line.

A relationship between two expressions or values that is not equal to each other is known as inequality in mathematics. So inequality emerges from an imbalance.

Both equations and inequalities are mathematical phrases created by connecting two expressions. The equal sign (=) in an equation denotes that the two expressions are regarded as equal. In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >.

"Less than or equal to," "less than," or "not equal to" are all ways to describe an inequality, which is a mathematical relationship between two expressions.

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For the function f(x)=1/2sin(2x-4)+3, the Domain: (-∞, ∞) and the Range: [2.5, 3.5].

The range of values that can be plugged into a function is known as its domain. In a function like f, this range corresponds to the x values (x).

The collection of values that the function assumes is known as its range. Following the insertion of an x value, the function outputs this set of values. The values of y are those.

An assembly line's machines can be compared to functions in this way. The machine in the middle performs the function. On one end of the assembly line are a few screws and bolts, and on the other end is a car.

Given that

F(x)=1/2sin(2x-4)+3

For the given function graph is sinewave (see attachment)

For which

Range: [2.5, 3.5]

Domain: (-∞, ∞)

Thus, For the function f(x)=1/2sin(2x-4)+3, the Domain: (-∞, ∞) and the Range: [2.5, 3.5].

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The solution of y is equal to 4

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation is 6+3y=4y+2

Simplifying this expression we get 4y-3y=4

                                                                y=4

Hence, the solution of y is equal to 4

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The election comma Modifying 18 % with underline of the governors of all 50 areas of a country were female.

Based on this, thr correct answer is A. The value is a parameter because the governors of all 50 area of a country nothing are a population.

Parameter is a term that comes from the Greek, namely para which means beside, and metron which means size. In general, a parameter is any characteristic that can help in defining and classifying a particular system (an event, project, object, situation, etc.). This means, parameters are system elements that are useful or critical, when identifying a system, or when evaluating its performance, status, condition, etc.

Parameter is a term that refers to a size or benchmark. parameter is the size of the entire population in the study which must be estimated from that contained in the sample. Parameter is a benchmark for a value with conditions that are expected to be achieved and can be one of the conditions for achieving goals.

As previously mentioned, parameters have more specific meanings in various disciplines, such as mathematics, computer programming, engineering, statistics, logic, linguistics, to electronic music composition. Apart from being used in technical uses, there are also extended uses, especially in non-scientific contexts, where the term is used to mean a characteristic or limitation, as in the phrases 'test parameters' or 'game parameters'.

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Answer: 13.3 :D

Step-by-step explanation:

Answer:

15, 80

Step-by-step explanation:

Angle of triangle=180 degrees

180-85=95

3x+16x=95

19x=95

x=95/19

x=5

3x=15

16x=80

The expression 4√567 can be written in simplest form as 24√7.

Expression in math is a combination of numbers, symbols, and/or variables that represent a specific quantity or value. Expressions can be simple or complex, depending on the number of components that make up the expression. Expressions are used in mathematics to represent the calculation of a value from one or more other values. Examples of expressions include algebraic equations, polynomials, and trigonometric functions. Expressions can be evaluated to determine their numerical value or to determine relationships between different components of the expression.
To simplify the expression, we can use the property of radicals, which states that when an exponent is applied to a radical, the root and the exponent can be divided. In this case, the given expression can be simplified by dividing the root (4) and the exponent (567). Dividing 4 by 567 gives us the result 0.007059. To make this result a whole number, we can multiply it by 100 to get 0.7059. This result is the new exponent for the radical. The root remains the same, so the simplified expression is 24√7.

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The value of k if one root of the quadratic equation x²+kx-8=0 is-4 is 2.

The equation x^2+kx-8=0 is a quadratic equation and of the form

ax^2 + bx + c ;where a =1 , b=k and c= -8.

Now, we know that the sum of the roots of a quadratic equation = -b/a

and the product of the roots is = c/a.

Now, let the other root of this equation be y.

Then , by above properties,

(-4) + y = -k/1 =-k ..... (1)

And, (-4)y = -8/1=-8....(2)

From 2, we get y = 2.

Putting this value in (1), we get -

(-4) + 2=-k

So, k = 2.

Thus, if one of the roots of this equation -4 , then the other root must be 2 and so , the value of k is 2.

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The complete question is:

Which of the following is the value of k,if one root of the quadratic equation X2+kx-8=0 is-4? a) 0 b) 4 c) 0 or 4 b) 2

The number of students who chose football exists 38.5.

A ratio is a tool for comparing like-kind quantities or illustrating relationships between them. To compare similar items, we employ ratios.

It's crucial to keep in mind that the ratio of one value to another is the same as the real value in relation to the other when calculating values using supplied ratios.

The percentage of students that chose rugby and tennis is listed as 8:17, which means that out of every 25 students (8 + 17), 8 chose rugby and 17 chose tennis. The ratio of 17 would now be replaced by the value 51 as the total number of students who picked tennis was 51. Although we do not yet know the total number of people that choose rugby, we can draw down an equation as shown below;

17/25 = t/x

Where t is the number of tennis players as represented by ratio 17 and x is the total number of both tennis and rugby players as represented by 25.

By cross multiplication we now have

17 × x = 25 × 51

x = (25 × 51)/17

Simplifying the above equation, we get

17x = 1275

x = 75

If 84 students participate in both rugby and tennis, but only 57 of them play tennis, the number of rugby players is calculated as follows.

Let the equation be r = x - t

simplifying the equation, we get

r = 75 - 51

r = 24

Given that 25 students participated in rugby and that the proportion of football players to rugby players is 3:2, the relationship can be mathematically stated as follows;

3/5 = r/y

Where r is the total number of rugby players and y is the total number of both football and rugby players

2/5 = 25/y

By cross multiplication you now have

y = 62.5

If the total number of football and rugby players is 63 and out of these 27 play rugby only, then the number of football players is derived as;

f = y - r

f = 62.5 - 24

f = 38.5

Therefore the number of students who chose football is 38.5.

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The total cost of the framing for the painting would be $13.20.

The length of the painting is 10.25 inches and the width is 6.25 inches. To find the total length of the framing needed to go around the perimeter of the painting, we need to add the length and width of the painting and then multiply by 2. This is because the framing is needed for both the length and the width of the painting.

10.25 inches + 6.25 inches = 16.50 inches of framing needed

Since we need to go around the perimeter of the painting we need to multiply the 16.50 inches of framing by 2 = 33 inches of framing.

Finally, we multiply the total inches of framing needed (33 inches) by the cost per inch of framing ($0.40/inch) to get the total cost:

33 inches x $0.40/inch = $13.20

So the total cost of the framing for the painting would be $13.20.

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The solution set for the given system of equations is (1, 5).

Given is the system of equations as -

4x + 3y = 19

- 3x + y =2

The given system of equations is -

4x + 3y = 19

- 3x + y =2

Now, we can write -

- 3x + y = 2

y = 2 + 3x

Then, the equation 4x + 3y = 19, will become -

4x + 3(2 + 3x) = 19

4x + 6 + 9x = 19

13x = 13

x = 1

Then, the value of {y} will be -

y =2 + 3

y = 5

Therefore, the solution set for the given system of equations is (1, 5).

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The corresponding sides and the corresponding angles along with the figure are given below.

A trapezium is a quadrilateral with four sides where two sides are parallel to each other.

We have,

From the given information we get the figure given below.

Trapezium ABCD.

Trapezium PQRS.

Now,

The corresponding sides are:

AB = RS

BC= SP

AD = RQ

CD = QP

The corresponding angles are:

∠B = ∠S = 90

∠C = ∠P = 90

∠A = ∠R

∠D = ∠Q

Thus,

The corresponding sides and angles are given above.

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Evaluating The function

f(x) = 6x - 4 ;

f(0) = -4

f(2) = 8

f(-2) = -16

f(4) = 20

f(-3) =  -22

Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The whole set of values that the function's output can produce is referred to as the range. The collection of values that might result in a function's outputs is known as the co-domain.

The function

f(x) = 6x - 4

Evaluating

f(0) = 6* 0 - 4 = -4

f(2) = 2*6 - 4 = 8

f(-2) = -2*6 - 4 = -16

f(4) = 4*6 - 4 = 20

f(-3) = -3*6 - 4 = -22

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The number of students who liked cake batter frozen yogurt is 135.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

From the given diagram the sum of all the percentages except the Cake batter is (28.5 + 21.5 + 13 + 10)% = 73%.

Therefore, The percentage of students who liked Cake batter is,

= (100 - 73)%.

= 27%.

So, The number of students who liked cake batter is,

(27/100)×500.

= 27×5.

= 135.

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Osvoldo fell short of his objective because the condition is getting AT LEAST 30%. He fell short of the requisite 30%, just achieving 25%.

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.

given

30% would be the base. The ratio of whole grains to carbohydrates has been multiplied by 100.

Mass percentage equals (55/220)*100.

Percent mass Equals 25%

Osvoldo fell short of his objective because the condition is getting AT LEAST 30%. He fell short of the requisite 30%, just achieving 25%.

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Answer: 30 straps for 66 is better

Step-by-step explanation:

If its 9 straps for 20.25, then one strap costs 2.25

If its 30 traps for 66, one strap costs 2.2

Therefore, if you buy 30 straps for 66, its a better buy.

Answer:

1. 2.25

2. 2.20

3. 1.02

4. 30 straps

Step-by-step explanation:

1. Divide 20.25 by 9

2. Divide 66 by 30

3. Divide 2.25 by 2.20

Answer: (- 1, 3 )

Step-by-step explanation:

The probability that bin 1 contains exactly 3 balls would be 0.015. Probabilities can be expressed as fractions, decimals, or percentages, and they can be used to make predictions or to quantify uncertainty.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain. For example, if the probability of it raining tomorrow is 0.3, it means that there is a 30% chance of it raining tomorrow. In addition, probability theory is a branch of mathematics that studies the probability of events, and it plays an important role in many areas such as statistics, finance, and science.

The probability that bin 1 contains exactly 3 balls out of the 10 balls placed is given by the binomial probability mass function with parameters n = 10 and k = 3, and probability of success p = 1/20. Therefore, the probability is given by:

(10 choose 3) * [tex](1/20)^3[/tex] * [tex](19/20)^7[/tex] = 120 * (1/8000) * [tex](19/20)^7[/tex] = 120/8000 = 0.015

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Answer: The value of x is 43 degrees

Answer:

60, pi/2, 2pi

Step-by-step explanation:

Q4: pi/3 * 180/pi = 180/3 = 60 degrees

Q5: 90/1 * pi/180 = pi/2 = 1.5708

Q6: The formula of the central angle is theta = S/r

so it is 2pi.

Answer: We can start by using the trigonometric identity:

tan(A + B) = (tan A + tan B) / (1 - tan A * tan B)

To find tan A and tan B, we can use the given information:

tan A = 2/3

sin B = sqrt(5)/5

To find tan B, we can use the relationship between sin, cos and tan:

tan B = sin B / cos B

Since sin² B + cos² B = 1, we know that:

cos B = sqrt(1 - sin² B) = sqrt(1 - (5/5)²) = sqrt(1 - (5/25)) = sqrt(20/25) = 2/sqrt(5)

So,

tan B = sin B / cos B = sqrt(5)/5 / 2/sqrt(5) = sqrt(5) / (2*sqrt(5)) = sqrt(5) / 10

Now, we can substitute these values back into the original identity:

tan(A + B) = (2/3 + sqrt(5)/10) / (1 - (2/3)(sqrt(5)/10))

Simplifying this expression gives us:

tan(A + B) = (2/3 + sqrt(5)/10) / (7/15)

And that's the final answer.

Step-by-step explanation:

Yes, it is possible to form a triangle with side lengths 3, 4 and 5 units and we can form a right triangle.

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Given that, a triangle with side lengths 1, 5 and 3 units

The properties of the triangle are:

1) Here, 5-1>3

No, we can not form a triangle with 1, 5 and 3.

2) A triangle with side lengths 3, 4 and 5 units

Here, 5-3<4

It is possible to form a triangle.

Now, c²=a²+b²

5²=3²+4²

25+25

With side lengths 3, 4 and 5 units right angle triangle can be formed.

Yes, it is possible to form a triangle with side lengths 3, 4 and 5 units and we can form a right triangle.

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An ensemble approach called bagging combines the predictions from all models after fitting each one to a distinct portion of a training dataset.

When the standard deviation is low, the data tend to cluster around the mean; when it is large, the data are more spread. Calculated using the standard deviation, the data's divergence from the mean value is determined. It is useful for contrasting data sets with possibly the same mean but a distinct range. For instance, the mean of the two following numbers is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. But it's clear that the second is more diffused. The standard deviation shows how erratic the data is. It conveys the difference between each observed value and its mean.

given

An variation of bagging called random forest additionally randomly chooses the subsets of features that are applied to each data sample.

With the addition of splitting on a random subset of characteristics, random forest outperforms bagging by decorrelating the trees.

As a result, the model only takes into account a small subset of its properties at each branch in the tree rather than all of them.

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The person that would have to clean the higher number of rooms would be Mackenzie.

This would be gotten from the rate that the both of the persons involved are working.

On that particular day, they are both said to have cleaned equal number of rooms. The next day, they have the same shift length but Mackenzie is working for fewer hours.

This tells us that Mackenzie has a higher work rate than Lilian, hence she would have to clean more rooms.

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Answer:

Step-by-step explanation:

The sine of the required angle = 6/14.

So, the answers is the angle whose sine is 6/14

= s25.38 degree