Which of these represents slope-intercept form of a linear equation?Immersive Reader
(1 Point)

y - y1 = m(x-x1)

Ax + By = C

y=kx

y = mx + b

The measures of dispersion mean , median , mode and range of the data are 3.79, 2, 2 and 9.75 respectively

The mean is the ratio of the sum of all the values and the number of values in the dataset .

The mean = (1 + 0.8 + 2 + 2.5 + 1.5 + 5 + 10 + 5.1 + 3 + 2.25 + 0.5 + 0.25 + 1.8 + 4.1 + 2 + 2 + 7) / 14 = 3.79

This is the middle value of the distribution after it has been rearranged in order of magnitude.

Rearranged data : 0.25, 0.5, 1, 1.5, 1.8, 2, 2, 2, 2.25, 3, 4.1, 5, 5.1, 7, 10

median = 2

This is the most frequently occurring value in the dataset . The modal value here is 2 with a frequency of 4

Mode = 2

This is the difference between the maximum and minimum values

Range = 10 - 0.25 = 9.75

Therefore, the range of the data is 9.75

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Answer:

so every 6 cups there you can make 96 cookies

Step-by-step explanation:

The probability of seeing exactly 5 hearts out of 10 cards is\((13/52)^5 × (39/52)^5.\)

The probability of seeing exactly 5 hearts out of 10 cards can be calculated as follows: The total number of cards in a deck is 52. The number of hearts in a deck is 13. Since no card has been removed from the deck, the probability of seeing a heart is 13/52. The probability of seeing a non-heart is 39/52. Since we are looking at 10 cards, the probability of seeing exactly 5 hearts,

p(h)= 13/52

p(nh) = 39/52

hence, \((13/52)^5 × (39/52)^5\)

This means that the probability of seeing exactly 5 hearts out of 10 cards is \((13/52)^5 × (39/52)^5.\)

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Answer:the third one

Step-by-step explanation:

Answer: x5/6+2x7/3

Step-by-step explanation:

I took the test

The solution is Option A and Option D.

The values which will satisfy the inequality equation x² + 3x - 4 > 0 are when x = -6 and x = 5

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

x² + 3x - 4 > 0

On simplifying the equation , we get

Taking the common terms in the equation and factorizing , we get

x² + 4x - x - 4 > 0

x ( x + 4 ) - 1 ( x + 4 ) > 0

( x - 1 ) ( x + 4 ) > 0

So , the value of x which will satisfy the inequality equations are

( x - 1 ) > 0

Adding 1 on both sides of the equation , we get

x > 1

So , all the numbers greater than 1 would satisfy the inequality equation

And ,

x + 4 < 0

Subtracting 4 on both sides of the equation , we get

x < -4

So , all the numbers lesser than -4 would satisfy the inequality equation

Therefore , the inequality relation is given by 1 < x < -4

when x = -6

Substituting the values in the equation , we get

x² + 3x - 4 > 0

( -6 )² + 3 ( -6 ) - 4 > 0

36 - 18 - 4 > 0

14 > 0

Therefore , the inequality relation is true

when x = 5

Substituting the values in the equation , we get

x² + 3x - 4 > 0

5² + 3 ( 5 ) - 4 > 0

25 + 15 - 4 > 0

36 > 0

Therefore , the inequality relation is true

Hence , the values which satisfy the inequality equations are -6 and 5

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Being able to inspect and adapt at scale is more what enterprise agile is all about.

What is enterprise ?

Despite being another word for a for-profit business or organization, the word "enterprise" is most frequently related to entrepreneurial endeavors. Those who are successful in business are frequently referred to as "enterprising." Legal businesses come in a variety of shapes and sizes, but the most popular ones in the US.

At the executive level, it's about placing smaller wagers. It involves being able to balance the sales and marketing side of the business with your capacity to develop useful products and then sustainably support those products.

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The letters of the alphabet that have a symmetry group with four elements are I, O, H, X. The four symmetries are Identity symmetry, 90-degree rotation symmetry, 180-degree rotation symmetry, and 270-degree rotation symmetry.

The letter H has two lines of symmetry, that is, one horizontal and one vertical. The letter I has one line of symmetry, that is, a vertical line that runs through its center point. The letter O has rotational symmetry. The letter X has two lines of symmetry, that is, a diagonal line that runs from the top left to the bottom right, and a diagonal line that runs from the top right to the bottom left.

Identity symmetry is the symmetry where the letter remains unchanged after rotation by 0 degrees.

90-degree rotation symmetry is the symmetry where the letter is rotated 90 degrees clockwise. After this rotation, the letter looks exactly the same as it did in its initial orientation.

180-degree rotation symmetry is the symmetry where the letter is rotated 180 degrees clockwise. After this rotation, the letter looks exactly the same as it did in its initial orientation.

270-degree rotation symmetry is the symmetry where the letter is rotated 270 degrees clockwise. After this rotation, the letter looks exactly the same as it did in its initial orientation.

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Let n be a nonnegative integer and let the sum of its digits be divisible by 3. Then n is divisible by 3.

Write n in base 10 notation as a sum of powers of 10 multiplied by digits. For example, if n = 326, then n = 3100 + 210 + 6*1.

Since 10 is congruent to 1 modulo 3, we can replace each power of 10 with 1 modulo 3.

This gives us n = 3d1 + 2d2 + 6d3, where d1, d2, d3 are the digits of n.

Since the sum of the digits of n is divisible by 3, we have d1 + d2 + d3 = 3k for some integer k.

Substituting this into the expression for n, we get n = 3(d1 + d2 + d3) + 2d2 = 9k + 2d2 + 3d3.

The expression 2d2 + 3d3 is divisible by 3, since the sum of the digits of n is divisible by 3. Therefore, n is divisible by 3.

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Based on the given information that the mean age is 23 and the standard deviation is 3.0, we can make use of the empirical rule (also known as the 68-95-99.7 rule) to determine the percentage of students within a certain age range.

According to the empirical rule:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Using this rule, we can conclude that:

68% of students are expected to be within the age range of 23 ± 3 years, which is 20 to 26 years old.

95% of students are expected to be within the age range of 23 ± 6 years, which is 17 to 29 years old.

99.7% of students are expected to be within the age range of 23 ± 9 years, which is 14 to 32 years old.

Therefore, the statement "95% of students are between 17 and 29 years old" is true based on the given mean and standard deviation.

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Answer:

1307

Step-by-step explanation:

Don't really know how to explain this, other than use a calculator. Omni Calculator is very helpful.

Hope that this helps!

The period of simple harmonic motion will be 1.0433 sec

What is a simple harmonic motion?

In physics, simple harmonic motion is the repeated back-and-forth movement through an equilibrium, or Centre, position so that the maximum displacement on one side of this position is equal to the maximum displacement on the other. Each whole vibration occurs at the same time interval. The force driving the movement is always pointed in the direction of the equilibrium position and is inversely proportional to the separation from it. F = kx, where F is the force, x is the displacement, and k is a constant, is what this means. Hooke's law is the name of this relationship.

The vibration of a mass attached to a vertical spring, the other end of which is fixed in a ceiling, is an example of a simple harmonic oscillator.

So, the time period of Simple harmonic motion is

\(T=2\pi \sqrt{\frac{m}{k} }\)

where m is mass and k is spring constant

m = 4 pounds

k = 36lb/ft

\(T=2\pi \sqrt{\frac{4}{36} }\)

\(T=2\pi \sqrt{\frac{1}{9} }\)\(T=\frac{2\pi }{3} }\)

T=1.0433 sec

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For triangle MNO, the statements that are true are m ∠ MNP < m ∠ ONP and MP< OP.

We are given a triangle MNO.

We are also given that:

m ∠ MNP = 38°

m ∠ ONP = 39°

This clearly means that:

m ∠ MNP < m ∠ ONP

Also, since m ∠ MNP < m ∠ ONP , the sides opposite to the angles will also follow the same relationship.

Side opposite to ∠ MNP is MP

and side opposite to ∠ ONP is OP

so, the relation will become:

MP < OP

Therefore, we get that, for triangle MNO, the statements that are true are m ∠ MNP < m ∠ ONP and MP< OP.

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The statements m MNP m ONP and MP < OP are true for triangle MNO.

A triangle MNO is presented to us.

Additionally, we learn that

m ∠ MNP = 38°

m ∠ ONP = 39°

This demonstrates that:

m, MNP, m, and ONP

The sides that are opposite to the angles will also adhere to the same relationship because m MNP m ONP.

MP is the side that faces MNP.

and OP is the side opposite to ONP.

hence, the relationship will be:

MP < OP

As a result, we understand that for triangle MNO, the assertions m MNP m ONP and MP OP are true.

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The sampling distribution of difference between means approximates a normal curve whose mean is zero.

The sampling distribution means the probability distribution based on the large number of samples of size n from the given population

Mean is the average of the given numbers and it is calculated by dividing the sum of observation by the number of observation. Here the term observation represents the given data.

Here they used the normal curve, sot its mean value is zero

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Answer: yes

Step-by-step explanation:

12    3

4     1

to get to 3 from 12 you divide by 4 and to get from 4 to 1 you also divided by 4

The fish camera will farthest from from the surface of water as it is -15 1/3 feet away that is 15 1/3 feet below the sea level. so correct option is B.

A number line is a diagram of a graduated straight line used to represent real numbers in elementary mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point. A number line is a visual representation of numbers on a straight line in mathematics. A number line's numbers are arranged in a sequential manner at equal intervals along its length. It is typically represented horizontally and can extend indefinitely in any direction. A number line is exactly what it sounds like—a horizontal, straight line with numbers spaced evenly apart along its length.

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Step-by-step explanation:

ps||pr are parallel

pQR=Rsp

The measures of both pairs of opposite sides are equal in length using the properties of rotations.

What is rotation?

In mathematics, a rotation is a transformation that spins a shape around an immovable object.

We are given that M is the midpoint of the diagonals.  

Since, M is the midpoint of the diagonals, so, VM = MQ and TM = MN.

Since T and N are equidistant from M, and the measure of ∠TMN = 180°, So, r(180°, M)(T) = N

Similarly, r(180°, M)(V) = Q  

We can rotate every point on TV in this same way.

So,  r(180°, M)(TV) = QN

Similarly, r(180°, M)(TQ) = VN  

Since, the rotations are rigid motions and they preserve distance, so, TV=QN and TQ=VN.

Hence, the measures of both pairs of opposite sides are equal in length.

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In the question, the figure is missing which is attached below

- Short-run market equilibrium price: 42.5

- Long-run market equilibrium price: 40

- Number of firms in long-run equilibrium: 40

To find the short-run market equilibrium price, we need to equate the market demand and market supply. The market demand is given by Q = 2000 - 25p, and since there are 50 firms producing the watches, the market supply is 50q, where q is the quantity produced by each firm. Setting the market demand equal to the market supply, we have 2000 - 25p = 50q.

To find the short-run equilibrium price, we need to solve for p when q is determined by the cost curve C = 100 + 20q + \(q^{2}\). By substituting the market supply equation into the cost curve, we get C = 100 + 20\((2000 - 25p) + (2000 - 25p)^{2}\). Simplifying and rearranging, we obtain a quadratic equation: 625\(p^{2}\) - 40000p + 798500 = 0. Solving this equation, we find p ≈ 42.5.

To find the long-run market equilibrium price, we need to consider the condition of zero economic profit in the long run. In a perfectly competitive market, firms will enter or exit the industry until economic profit is driven to zero. Since the cost curve C = 100 + 20q + \(q^{2}\) represents both the short-run and long-run cost curve, we can find the long-run equilibrium price by setting C equal to the market price p. Setting p = 100 + 20q + \(q^{2}\), we can solve for q and find that q ≈ 20. Substituting q back into the market demand equation, we find the long-run equilibrium price p ≈ 40.

The number of firms in long-run equilibrium can be determined by dividing the total market supply by the quantity produced by each firm. Since the market supply is 50q and q ≈ 20, we have 50q / q ≈ 50 firms in long-run equilibrium. Therefore, the number of firms in long-run equilibrium is approximately 40.

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Answer: The third one

Step-by-step explanation:

The difference between\(x^2 + 2x + 1\) and \(x^2 - 2x + 1\)is 4x.

To determine how much \(x^2 + 2x + 1\) is less than \(x^2 - 2x + 1\), we need to subtract the second expression from the first.

\((x^2 + 2x + 1) - (x^2 - 2x + 1)\)

Let's simplify this expression step by step:

First, distribute the negative sign to all the terms within the parentheses:

\((x^2 + 2x + 1) - (x^2 - 2x + 1)\)

Next, combine like terms:

\((x^2 - x^2) + (2x + 2x) + (1 - 1)\)

The\(x^2\)terms cancel out, and the constant terms cancel each other:

0 + 4x + 0

Simplifying further:

4x

Therefore,\(x^2 + 2x + 1\)is 4x less than \(x^2 - 2x + 1.\)

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Given the system of equations as: x + y = -1 -----(1)x - 3y = 4 ----(2)2y = 5 -----(3), the given system of equations has no least-squares solution which makes option (E) the correct choice.

Solve the above system of equations as follows:

x + y = -1 y = -x - 1

Substituting the value of y in the second equation, we have:

x - 3y = 4x - 3(2y) = 4x - 6 = 4x = 4 + 6 = 10x = 10/1 = 10

Solving for y in the first equation:

y = -x - 1y = -10 - 1 = -11

Substituting the value of x and y in the third equation:2y = 5y = 5/2 = 2.5

As we can see that the given system of equations is inconsistent as it doesn't have any common solution.

Thus, the given system of equations has no least-squares solution which makes option (E) the correct choice.

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Answer:

True

Step-by-step explanation:

An expected value is another term for the mean of a probability distribution. The number of successes in a binomial experiment must range from zero to n. In a binomial experiment, the number of successes can never exceed the number of trials. The probability of a success must exceed the probability of a failure.

Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

Is valid

a• (b+c) = ab + ac. Its called distributive property

We note here that, are equivalents

a= 2

b= x

c= -y

Then in conclusion , both are the same expression

Answer:

The answer is the fourth option.

Step-by-step explanation:

The reason is that when a number has the line above it means it is continuous which is the meaning of rational numbers.

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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Answer:

C -1.6

Step-by-step explanation:

each line is going by 2