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The value of z in the circle is 2.3 units

In the question, the following statements represents the given parameters

As a general rule, the diameter of a circle is the radius doubled

So, we have

2 * (z + 3.6) = 11 4/5

Express as decimal

2 * (z + 3.6) = 11.8

So, we have

z + 3.6 = 5.9

Evaluate the like terms

z = 2.3

Hence, the value of z is 2.3

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False, that is if the number of data observations is even, the median is generally considered to be the average of middle values not the first and last values.

The median is a simple measure of central tendency. To find the median, we arrange the observations in order from smallest to largest value. If there is an odd number of observations, the median is the middle value. If there is an even number of observations, the median is the average of the two middle values.

At least half of the observations are equal to or smaller than the median, and at least half of the measurements are equal to or greater than the median. The median divides the bottom half of observations from the upper half.

Even Number of Observations :

Suppose we have the monthly wages of 4 employees of a company. How would you find the median wage?

wages are 120,240,500,400

we have arranged their wages above from lowest to highest. This ranking will help us to determine the median. Using the method introduced earlier, the median is computed by taking the simple average of the (n/2)ᵗʰ = (4/2)ᵗʰ = 2ⁿᵈ and

(n/2 + 1)ᵗʰ = (2+1)ᵗʰ = 3ʳᵈ observations.

Therefore, the median is 240+500/2

= 370.

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Complete question

True/false

if the number of data observations is even, the median is generally considered to be the average of the first and last values

Answer:

Step-by-step explanation:

8p + 3r = q

     8p  = q - 3r

      p   = (q-3r)/8

The three consecutive numbers that have a sum of 12 is 3, 4 and 5. The formula for calculation is x + x + 1 + x + 2 = 12.

Let the first number in three consecutive numbers be x. So, the next two numbers will be (x+1) and (x+2). Now, their sum wil be represented as mathematical equation -

x + x + 1 + x + 2 = 12

Performing addition on Left Hand Side of the equation

3x + 3 = 12

Rewriting the equation

3x = 12 - 3

Performing subtraction on Right Hand Side of the equation

3x = 9

x = 9/3

Performing division on Right Hand Side of the equation

x = 3

So, next number = x+1

Second number = 3+1

Second number = 4

Third number = x+2

Third number = 3+2

Third number = 5

Hence, the three consecutive numbers are 3, 4 and 5.

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The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.

To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.

The equation is:

X^2/2 - 8 = 2X - 2

To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:

X^2 - 16 = 4X - 4

Next, we rearrange the equation to have all terms on one side:

X^2 - 4X - 12 = 0

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:

(X - 6)(X + 2) = 0

Setting each factor equal to zero gives us two possible solutions:

X - 6 = 0 --> X = 6

X + 2 = 0 --> X = -2

So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.

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Answer:

The slope would be -2  1/3 or -2.3 repeating

Step-by-step explanation:

The first point would be (-4, 9). The next point is (2, -5). We can tell that the slope will be negative, because the x values increased by 6, but the y values decreased by 4.

The slope would be -2  1/3 or -2.3 repeating

I Hope That This Helps! :)

Answer:

-7

Step-by-step explanation:

The result correct of this expression is 38

-

In a numeric expression, we first resolve the numbers that are in symbol, such as:

The signs calculated in order are:

\( \\ \)

- ( - ) = +

+ ( + ) = +

- ( + ) = -

+ ( - ) = -

\( \\ \)

\( \large \sf = - 32 - ( - 52) - (15 - 33)\)

\( \large \sf = - 32 + 52 - (15 - 33)\)

\( \large \sf = - 32 + 52 - ( - 18)\)

\( \large \sf = - 32 + 52 + 18\)

\( \large \sf = - 32 + 70\)

\( \pink{ \boxed{ \large \sf = 38}}\)

So, the answer correct is 38

The area of a circle is calculated using the formula:

A = πr^2

Where A is the area and r is the radius of the circle.

In this case, the radius is given as 7. Substituting the value into the formula:

A = π(7)^2

A = π(49)

A = 49π

The exact area of the circle is 49π square units.

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♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Since:

The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

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Answer:

D) 234 square ft

Step-by-step explanation:

The formula for area is: length x width.

The length is 9 in or (using the scale) 18 ft.

The width is 6.5 inches or (using the scale) 13 ft.

Multiply 18 x 13 to get 234 square ft.

Hope it helps!

Answer:

see below

Step-by-step explanation:

7a is a term

3 is a constant

8b and 5b are 'like' terms

Answer:

karen is phat

Step-by-step explanation:

Answer:

and i want 40 muffins :)

Step-by-step explanation:

ima steal karens muffins muah ha ha

Answer:

There are two sets of solutions:

Step-by-step explanation:

The question states that \(a\) and \(r\) should represent the first term and the common ratio of this geometric sequence, respectively. Therefore:

Let \(n\) denote a positive whole number. In general, the \(n\!\)-th term of this geometric sequence would be \(r^{n-1}\, a\).

The sixth term of this sequence would thus be \(r^{6-1}\, a = r^5\, a\).

The fact that the second term is \(2\) and the sixth term is \(32\) gives two equations about \(a\) and \(r\):

\(\displaystyle \left\lbrace\begin{aligned}& r\, a = 2 \\ & r^5\, a= 32\end{aligned}\right.\).

Take the quotient of these two equations to eliminate \(a\):

\(\displaystyle \frac{r^5\, a}{r\, a} = \frac{32}{2}\).

\(r^4 = 16\).

There are two possible roots: either \(r = 2\) or \(r = -2\).

When \(r = 2\), substitute back to the first equation and solve for \(a\): \(a = 1\).

On the other hand, when \(r = -2\), substituting back and solving for \(a\) would give \(a = -1\).

Substitute these values into the second equation. Either set of values will work.

Cliff pays a total interest of approximately $679.90 on his $5,000 loan.

To calculate the total interest paid on the loan, we need to use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A is the final amount (loan amount + interest)

P is the principal (loan amount)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the number of years

Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:

P = $5,000

r = 7% = 0.07

n = 12 (monthly compounding)

t = 2 years

\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)

Calculating this expression:

A ≈ 5000\((1.00583)^{(24)\)

A ≈ 5000(1.13598)

A ≈ 5679.90

The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):

Total Interest = A - P

Total Interest = 5679.90 - 5000

Total Interest ≈ $679.90

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Answer:

thx for the points MWAH!

Step-by-step explanation:

The probability that a randomly selected student will like pizza but not chicken nuggets is (28n - 8)/(28n + 7), where 28n is the students who like pizza and 8 is students who like both pizza and chicken nuggets.

To find the probability that a randomly selected student will like pizza but not chicken nuggets.

Let P = the number of students who like pizza but not chicken nuggets

Then, P = the number of students who like pizza - the number of students who like both pizza and chicken nuggets

P = 28n - 8

So, the probability that a randomly selected student will like pizza but not chicken nuggets is:

P(Pizza but not nuggets) = P/(Total number of students)

We can find the total number of students who like either pizza or chicken nuggets by adding the number of students who like pizza and the number of students who like chicken nuggets, and then subtracting the number of students who like both:

Total number of students = 28n + 15 - 8 = 28n + 7

So, the probability that a randomly selected student will like pizza but not chicken nuggets is:

P(Pizza but not nuggets) = P/(Total number of students) = (28n - 8)/(28n + 7)

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Answer:

Step-by-step explanation:

You want points A(-4, 0), B(0, -1) and C(-3, -3) reflected across the y-axis and translated left 5 and up 2.

The reflection across the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

The translation adds the translation vector to the reflected coordinates.

  (x, y) ⇒ (x -5, y +2) . . . . . . translation (by itself)

Then the result of both transformations is ...

  (x, y) ⇒ (-x -5, y +2)

For a number of points, this arithmetic is conveniently accomplished by a calculator. The result is ...

The solution set for the inequality x - 2 > 5 is x > 7, and it can be graphically represented as an open circle at 7 with an arrow extending to the right.

To solve the inequality x - 2 > 5, we need to isolate the variable x on one side of the inequality sign. Let's solve it step by step:

1. Start with the given inequality: x - 2 > 5.

2. Add 2 to both sides of the inequality to get x alone: x - 2 + 2 > 5 + 2.

3. Simplify both sides: x > 7.

So, the solution to the inequality x - 2 > 5 is x > 7. This means that any value of x that is greater than 7 will satisfy the inequality.

To graph the solution set on a number line, we'll represent the numbers greater than 7 as shaded regions. We'll use an open circle on the number 7 to indicate that it's not included in the solution set.

Then, we'll draw an arrow to the right, indicating that all values greater than 7 are part of the solution.

On the number line, place an open circle at 7 and draw an arrow starting from it towards the right. This represents all the values greater than 7. The solution set is x > 7, which can be represented as an interval (7, ∞) where ∞ denotes infinity.

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The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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The significance of the quoted text is to illustrate the less privileged in an overwhelmingly crowded and disordered chronological reality.

Quote means to cite something as a form of proof. It has several other senses as a verb and a noun. It should be noted that to quote something or someone is to repeat the exact words they said or to recite the exact words written in a book.

Great speakers often quote other inspiring people when making speeches. When you quote, you include the words and ideas of others in your text exactly as they have expressed them.

You signal this inclusion by placing quotation marks (“ ”) around the source author's words and providing an in-text citation after the quotation.

In this case, the significance of the quoted text is to illustrate the less privileged in an overwhelmingly crowded and disordered chronological reality. A quotation is the repetition of a sentence, phrase, or passage from speech or text that someone has said or written.

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Answer:

2

Step-by-step explanation:

Her class of 30 pupils can be divided into 10 groups using 5 groups of 2 students and 5 groups of 4 students each.

A circle is created in the plane by each point that is a specific distance from another point (center). Thus, it is a curve made up of points that are separated from one another by a defined distance in the plane. Every pair of points in a circle's closed, two-dimensional plane are evenly spaced apart from the "center." A circular symmetry line is made by drawing a line through the circle.

given

10 groups of 3 students = 30 students :

5 groups of 2 students + 5 groups of 4 students = 30 students : 7 groups of 3 students + 3 groups of 3 students = 30 students

so Her class of 30 pupils can be divided into 10 groups using 5 groups of 2 students and 5 groups of 4 students each.

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The slope (m) of the MB is: 1. The equation of the line of MB is: y = x.

We can express the equation of a line in slope-intercept form as, y = mx + b, where we have:

Slope = m = change in y / change in x

y-intercept = b.

Given the points, M(-4,-4) and B(-1,-1), to find the equation that the points lie on, first, find the slope of MB:

Slope (m) = (-4 -(-1))/(-4 -(-1))

Slope (m) = -3/-3

Slope (m) = 1

Substitute (x, y) = (-1, -1) and m = 1 into y = mx + b to find b

-1 = 1(-1) + b

-1 = -1 + b

-1 + 1 = b

b = 0

Substitute m = 1 and b = 0 into y = mx + b

y = 1(x) + 0

y = x.

Thus, the slope (m) of the MB is: 1. The equation of the line of MB is: y = x.

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Answer:

Step-by-step explanation:

The factored inequality is  \(x^2-3x+6\geq 0\)

The given inequality is:

\(-x^2+3x-6\leq 0\)

This can be further simplified as:

\(-(x^2-3x+6)\leq 0\)

The inequality can be re-written as:

\(x^2-3x+6\geq 0\)

Since the question does not state that we should solve the inequality, the simplest we can get after factoring is \(x^2-3x+6\geq 0\)

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