what is 6 x 2/5 and 5 ×2/3 and 6x 2/10​

In the given case, where data was collected for a city that indicates that crime increases as median income decreases, and the relationship was moderately strong, an appropriate value for the correlation is the Pearson correlation coefficient. Pearson's correlation coefficient is a measure of the strength of a linear relationship between two variables.

It is a statistical measure that quantifies the degree of association between two variables, in this case, crime and median income. The Pearson correlation coefficient is a number between -1 and 1, where -1 indicates a perfectly negative correlation, 0 indicates no correlation, and 1 indicates a perfectly positive correlation. In the given case, as the relationship was moderately strong, the appropriate value for the correlation would be close to -1.

To find the Pearson correlation coefficient between crime and median income, we use the following formula:

r = (NΣxy - (Σx)(Σy)) / sqrt((NΣx² - (Σx)²)(NΣy² - (Σy)²))

Where,r = Pearson correlation coefficient, N = Number of pairs of scores, x = Scores on the independent variable (Median Income), y = Scores on the dependent variable (Crime), Σ = Sum of the values in parentheses

The correlation coefficient will be between -1 and 1. The closer the value is to -1 or 1, the stronger the correlation. The closer the value is to 0, the weaker the correlation.

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The sum of the series is 7 / (1 - (-2z)), and the domain for which the series converges is (-1/2, 1/2).

The given series is a geometric series with the first term, a = 7, and the common ratio, r = -2z.

To find the sum of the series, we can use the formula for the sum of an infinite geometric series:

sum = a / (1 - r)

sum = 7 / (1 - (-2z))

To find the domain for which the series converges, we need the absolute value of the common ratio to be less than 1:

| -2z | < 1

-1 < 2z < 1

-1/2 < z < 1/2

So, the sum of the series is 7 / (1 - (-2z)), and the domain for which the series converges is (-1/2, 1/2).

Answer:

y = x - 4

Step-by-step explanation:

The equation is just y = x shifted down 4 units, so it's y = x - 4. If you have to use all of the symbols, you can write "y = x * 1 - 4 + 0". Otherwise, use the one under "Answer" as it is shorter

Answer:

Step-by-step explanation:

you find slope (y1-y2)/(x1-x2) = (0-1)/(4-5) = -1/-1= 1

then you take a point (4,0)

y-0 = 1(x-4)

I hope this helps!

We have all the zeros of the polynomial. Therefore, there are no remaining zeros of f(x). The given polynomial f(x) is a degree 4 polynomial. The given zeros of f(x) are `3-5i`, `4i`, `3+5i` and `4-i`.

We have to find the remaining zeros of f.

The remaining zeros of f are the solutions of f(x) = 0 which are not given in the question. Degree of polynomial = 4

We are given all the four zeros of the given polynomial.

So, we can write the expression for f(x) by using all these zeros.

f(x) = a(x - 3 + 5i)(x - 3 - 5i)(x - 4i)(x - 4 + i) [Using the zero factor property]

Now, we have to find the remaining zeros.

Let's find it out :f(x) = a(x - 3 + 5i)(x - 3 - 5i)(x - 4i)(x - 4 + i)f(x)

= a[(x - 3)² - (5i)²][(x - 4)² - (i)²]

(Using a² - b² = (a + b)(a - b))f(x)

= a[(x - 3)² + 25][(x - 4)² + 1] (Since i² = -1)f(x)

= a(x² - 6x + 34)(x² - 8x + 17)f(x)

= a[x⁴ - 14x² + 33x + 612] (Expanding the above expression)

The polynomial f(x) is a degree 4 polynomial.

Hence, we have all the zeros of the polynomial. Therefore, there are no remaining zeros of f(x).

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Step-by-step explanation:

we use the point's coordinates to find the missing y-interception :

9 = 3×1 + b

9 = 3 + b

b = 6

so,

y = 3x + 6

The expression is equivalent to "\(z^4 * (z + 6)^2 + (z + 6)\)".

To clarify, I understand the expression as: "z * (z + 6) * z * (z + 6) * z + (z + 6)". Let's break down the expression and simplify it step by step:

Distribute the multiplication:

z * (z + 6) * z * (z + 6) * z + (z + 6)

becomes

z * z * z * (z + 6) * (z + 6) * z + (z + 6)

Combine like terms:

z * z * z simplifies to \(z^3\)

(z + 6) * (z + 6) simplifies to (z + 6)^2

The expression now becomes:

\(z^3 * (z + 6)^2 * z + (z + 6)\)

Multiply \(z^3\) and z:

 \(z^3 * z\) simplifies to \(z^4\)

The expression becomes:

  \(z^4 * (z + 6)^2 + (z + 6)\)

So, an equivalent expression to "z (z + 6)z (z + 6)z + (z + 6)" is "\(z^4 * (z + 6)^2 + (z + 6)\)".

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Answer:

me! whats the question?

Step-by-step explanation:

Answer:

-7x/6-6=-48

-7x-36=-288

-7x=-288+36

x=-252/-7

x=36 answer

Answer:

a. 36

Step-by-step explanation:

Solve for x:

\( \longrightarrow \) \( \sf - \dfrac{7}{6} x \) - 6 = -48

Add 6 both sides:

\( \longrightarrow \) \( \sf - \dfrac{7}{6} x \) + (6 - 6) = -48 + 6

6 - 6 = 0

\( \longrightarrow \) \( \sf - \dfrac{7}{6} x \) = -48 + 6

-48 + 6 = -42

\( \longrightarrow \) \( \sf - \dfrac{7}{6} x \) = -42

Multiply both side by \( - \dfrac{6}{7} \):

\( \longrightarrow \) \( \sf - \dfrac{7}{6} x \times \bigg(-\dfrac{6}{7} \bigg) = -42 \times \bigg(-\dfrac{6}{7} \bigg) \)

\( \sf - \dfrac{7}{6} x \times \bigg(-\dfrac{6}{7} \bigg) = x: \)

\( \longrightarrow \) \( \sf x= -42 \times \bigg(-\dfrac{6}{7} \bigg) \)

\( \sf -42 \times \bigg(-\dfrac{6}{7} \bigg) = 36: \)

\( \longrightarrow \) x = 36

The equation of the quadratic function is \(f(x) = -x^{2} - 6x + 7\)

What is quadratic function?

A quadratic function is a type of polynomial function of degree two. It has the general form:

\(f(x) = ax^{2} + bx + c\)

here a, b, and c are constants, and x is the variable. The graph of a quadratic function is a parabola, which can be either upward-facing or downward-facing, depending on the sign of the leading coefficient a.

Since the quadratic function has x-intercepts at −7 and 1, its factored form is:

f(x) = a(x + 7)(x - 1)

where a is a constant that we need to determine.

To find the value of a, we use the fact that the vertex of the function is at (−3, 16). The x-coordinate of the vertex is given by:

x = (-7 + 1) / 2 = -3

This means that the axis of symmetry of the parabola is x = -3.

Substituting x = -3 in the factored form of the function, we get:

f(-3) = a(-3 + 7)(-3 - 1) = 16

Simplifying, we get:

a(4)(-4) = 16

-16a = 16

a = -1

Therefore, the equation of the quadratic function is:

f(x) = -1(x + 7)(x - 1)

Simplifying, we get:

\(f(x) = -(x^{2} + 6x - 7)\)

\(f(x) = -x^{2} - 6x + 7\)

Hence, the equation of the quadratic function is \(f(x) = -x^{2} - 6x + 7.\)

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Answer:

??????????//

Step-by-step explanation:

The  valid license plates are possible = 676,000 possibilities

In mathematics, there are two alternative methods for dividing up a collection of components into subsets: combination and permutation. The subset's components can be arranged in any sequence when used together. The subset's components are given in a permutation in a certain order.

There is no prohibition on using the same letters or numbers more than once, therefore all 26 letters of the alphabet and all 10 numerals are permissible choices.

There are 26 options if the initial answer is A:

AA, AB, AC,AD,AE ...................................... AW, AX, AY, AZ.

There are 26 options if the initial answer is B:

BA, BB, BC, BD, BE .........................................BW, BX,BY,BZ

So,

The first letter can be one of 26 options, and the second letter can be one of 26 options. There are a variety of 2 letter combinations, including:

26 x 26 = 676

For the three digits, the same holds true.

The first, second, and third options each have ten options available:

10  × 10 × 10 = 1000

Thus, there are several options for a license plate with two letters and three digits:

26 x 26 x 10  × 10 × 10 =  676,000 possibilities.

The  valid license plates are possible = 676,000 possibilities.

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Answer:

1

Step-by-step explanation:

Use the Negative Power Rule:

x^-a=1/x^a

3*1/3

Cancel 3

=1

Answer:

1.

Step-by-step explanation:

Use the Order of Operations method to solve. (P.E.M.D.A.S.)

Simplify the exponent:

\(3(3^{-1} )\)

\(3(\frac{1}{3} )\)

Multiply 3 and 1/3:

\(3(\frac{1}{3} )=1\)

Step-by-step explanation:

The equation to model this situation is y = 1200/x, where y represents the amount of cake each guest will get and x is the number of guests. This equation shows that the amount of cake each guest will get is inversely proportional to the number of people she invites, as the more people she invites, the less cake each guest will get.

Answer: 80 and 20

Step-by-step explanation:

the sides of a triangle need to add up to 180 80+80+20=180

The direct variation equation is: b) f = 30x.

The distance 420 newtons will stretch is: d) x = 14.

The direct variation equation can be defined as y = kx, where k is the constant of proportionality, which is k = y/x, while x and y are the variables.

Let y represent the distance the spring is stretched, while x represents the force that is applied to the spring.

If a force (f) of 180 newtons is applied to stretch a distance of the spring (x) to 6 cm, therefore:

Constant of proportionality, k = 180/6

Constant of proportionality, k = 30

To write the direct variation equation, substitute k = 30 into f = kx:

f = 30x.

To find the distance (x) the spring will be stretched when 420 newtons was applied, substitute f = 420 into y = 30x:

420 = 30x

420/30 = 30x/30

14 = x

x = 14

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Answer:

A

Step-by-step explanation:

2 to the negative 4th is 1/16, because anything to a negative exponent goes to the denominator. Same with x and y.

Answer:

The answer is Aso u should choose a

Answer: 5.75 lbs each

Step-by-step explanation:

We will divide 23 pounds of apples among the 4 friends.

           23 / 4 = 5.75 lbs each

Answer:

x = 2, x = 1/3

Step-by-step explanation:

(3x-2)^2-4=9x-6

9x^2-12x=9x-6

9x^2-12x+6=9x

9x^2-21x+6=0

(then solve with quadratic formula)

x = 2, x = 1/3

They must sample 385 subscribers to obtained this interval.

What do you mean by sample?

An outcome of a random experiment is a sample. A random variable is sampled when we choose one particular value from its range of potential values.

According to the given question,

We have:

95% confidence interval for z-score is  1.96

Using this formula to find the number of  subscribers  they must sample to obtain this interval

n≥ (zσ/2 ÷ 2ME)²

Where:

n= Sample

zσ = Z-score

ME = margin of error

Let put in the formula,

n≥ [1.96 / 2(0.05)]²

n≥ [1.96 / 0.1]²

= (19.6)²

= 384.16

=385 (Rounded)

Therefore, they must sample 385 subscribers to obtained this interval.

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4.) The correct equation that represents Fred's score would be = 2+f = 16. That is option B.

5.) coefficient = 5

variable = x

constant= -8 and 12

Sally game scores= 2 + f

Fred game scores = f

The total scores of Sally = 16 points

Therefore to calculate the score of Fred = 2+f = 16

Make f the subject of formula = f = 16-2 = 14

For the given equation which is 5x - 8 = 12. The parts of the equation include the following;

Coefficient= This is the number that is used to multiple a variable. Example is the 5 attached to X.

Variable: This is part of an equation that is varying or changing which is represented by a letter such as X in the given equation.

Constant: This is a fixed quantity that doesn't vary.

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By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is  5.

PEDMAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, D- Division, M- Multiplication, A- Addition, and S- Subtraction.

Given

7 + (5 – 9)2 + 3(16 ÷ 8)

By using PEDMAS rule,

= 7 + (-4)2 + 3(2)

= 7 + (-8) + 6

= 7 - 8 + 6

= -1 + 6

= 5

By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is  5.

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The solution of equation, 7 + (5 – 9)2 + 3(16 ÷ 8) is,

⇒ 29

Since, We knw that,

PEMDAS stands for P- Parentheses, E- Exponents, D- Division, M- Multiplication, A- Addition, and S- Subtraction.

We have to given that,

Expression is,

7 + (5 - 9)² + 3(16 ÷ 8)

Now, Simplify By using PEDMAS rule,

= 7 + (5 - 9)² + 3(16 ÷ 8)

= 7 + (-4)² + 3(2)

= 7 + 16 + 6

= 23 + 6

= 29

Thus, By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is, 29

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Answer:

55

Step-by-step explanation:

Given: The graph of the circle shown in the image

To Determine: The equation of the given circle

Solution

The general equation of a circle given the center and the radius is as shown below

Let us determine the center and radius of the given circle as shown below

It can be observed that

Let us substitute the center and the radius into the equation

Hence, the equation of the circle is

(x + 4)² + (y - 4)² = 9

Answer:

x = 4√7

Step-by-step explanation:

You can use the pythagorean theorem which is a² + b² = c²

if you plug it in, it would be...

x² + 12² = 16²

x² + 144 = 256, subtract 144 to both sides

x² = 112, square root both sides to make x by itself.

x = 4√7  

Answer:

Explained below.

Step-by-step explanation:

Assuming that the question is related to exponents.

Consider the expression: \(a^{b}\)

Here,

a = base

b = exponent

Consider that the value of base is a negative term.

Then an even exponent will give a positive result.

And an odd exponent will give a negative result.

Consider the following values of b and suppose that a = -x.

For b = 4,

\(a^{b}=(-x)^{4}=(-x)\times (-x)\times (-x)\times (-x)=x\)

For b = 3,

\(a^{b}=(-x)^{3}=(-x)\times (-x)\times (-x) = -x\)

Answer:

Sample Response: When evaluating a power with a negative base, the solution is positive or negative depending on whether the exponent is odd or even. If odd, the value will be negative. If even, the value will be positive.

Step-by-step explanation:

Bar graphs can be used to display both discrete and continuous data, making them a versatile tool for visualizing a wide range of information.

The graphic presentation of data that displays its categories as rectangles of equal width with their height proportional to the frequency or percentage of the category is called a bar graph.

In a bar graph, the bars represent the categories being compared and are arranged along the horizontal axis, with the height of each bar representing the frequency or percentage of the category being displayed.

Bar graphs are a useful tool for presenting numerical data in a visually appealing way, making it easy for viewers to compare different categories and draw conclusions from the data.

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D) in the question

1002, 3001

Answer:

a) 503 b) 307 c) 56789 D) 1002

Step-by-step explanation:

Numbering starts from the left hand side and are arranged in ascending order.

A) (530, 503)

503 < 530

503 is lesser than 530 and as such it is encountered first when numbers are written, hence 503 will appear on the left side of the number line when both are written.

B.) (370, 307)

370 > 307

307 comes before 370, therefore it will appear on the left side of 370 when illustrated on a number line.

C.) (98765, 56789)

98765 > 56789

56789 will appear on the leftside of 98765 when both number are illustrated on a number line.

D.) 1002 < 3001

1002 will appear on the leftside of 98765 when both number are illustrated on a number line.

Answer:

-3/4

Step-by-step explanation:

Answer:

8/12-3/12

Step-by-step explanation:

To find a common denominator you multiply the 2 denominators and them multiply each numerator by the opposite denominator.

so...

2x4=8 and 1x3=3

Answer:

8/12-3/12

Step-by-step explanation:

On solving the provided question, we can say that -  the inverse of the given y = 3x+2, function is ( y - 2 )/3 = x

A function that "undoes" another function is known as an inverse function in mathematics. In other words, if f(x) generates y, then y set to f's reciprocal will result in x. . The inverse of the function f(x) = 2x + 3 is represented as f-1(x), which is equal to (x - 3)/2.

Here,

the given equation is -

function, f(x)  = 3x + 2

=> y = 3x+2

=> y-2 = 3x

=> ( y - 2 )/3 = x

so,

therefore the inverse of the given function is ( y - 2 )/3 = x

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