Suppose that 2 were subtracted from each of the values in a data set thatoriginally had a standard deviation of 5.5. What would be the standarddeviation of the resulting data?A. 7.5B. 5.5C. 3.5D. 2

Answer:

Write an equation in point-slope form of the line that passes through the point (−6, 6) and has a slope of m=3/

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

for more such question on graph visit

https://brainly.com/question/19040584

#SPJ8

Hi!

The answer to this expression is x^4 or d

Feel free to give brainliest!

Answer:

2

Step-by-step explanation:

-3x ≤ -5

if we divide for a negative number we have to change the sign of the inequality

x ≥ 5/3

5/3 = 1,666

so the nearest integer number is 2

Answer:2

Step-by-step explanation:

\( \Large{\boxed{\sf | \sf z| = \sf \sqrt{40} = 2\sqrt{10} }} \)

\( \\ \)

We are given a complex number in algebraic form, and we would like to find its modulus, |z|.

\( \\ \\ \)

\( \\ \\ \)

Let's recall that a complex number in algebraic form is written as \( \sf z = a + ib \) , where a is its real part and b is its imaginary part.

\( \\ \)

The modulus of said complex number is calculated as follows:

\( \sf | \sf z| = \sqrt{a^2 + b^2} \)

\( \\ \)

\( \hrulefill \)

\( \\ \)

Let's identify our values:

\( \sf z = -2 - 6i \Longleftrightarrow z = \underbrace{\sf -2}_{\sf a} + (\underbrace{\sf -6}_{\sf b})i \)

\( \\ \)

Now, substitute these values into our formula:

\( \sf | \sf z | = \sqrt{(-2)^2 + (-6)^2} = \sqrt{4 + 36} = \boxed{\sf \sqrt{40}} \)

\( \\ \)

While this may be optional, the result can be simplified by using the following property:

\(\green{\begin{gathered}\begin{gathered} \\ \boxed { \begin{array}{c c} \\ \blue{ \star \: \sf{\boxed{ \sf Product \: rule \: of \: square \: roots\text{:}}}} \\ \\ \sf{ \diamond \: \sqrt{ab} = \sqrt{a} \times \sqrt{b} } \\ \end{array}}\\\end{gathered} \end{gathered}}\)

\( \\ \)

\( \sf \sqrt{40} = \sqrt{4 \cdot 10} = \sqrt{4} \cdot \sqrt{10} = \boxed{\boxed{\sf 2\sqrt{10}}} \)

\( \\ \)

\( \hrulefill \)

\( \\ \)

▪️Learn more about the modulus of a complex number here:

↣https://brainly.com/question/10737199

Answer:

3

Step-by-step explanation:

Answer:

-4 and 10

Step-by-step explanation:

It is 7 units from 3 not 3 the number itself

Answer:

Half correct.

Step-by-step explanation:

Option B is correct   3 + 7 = 10

Option A is incorrect. Should be 3 - 7 = - 4

Answer:

1) Arithmetic progression

2)It's a geometric progression

3) Also geometric.

Arithmetic progressions have fixed difference between them

Answer:

The answer is "Prudence".

Step-by-step explanation:

It is the capacity, through the use of justification, to regulate or control yourself. Although pragmatism does not perform any actions and seems to be concerned primarily with information, it would have to control certain values. It is also the desire, utilizing purpose, to direct the control from one's activities and behavior.

Continuous random variable is a random variable that can take on a continuum of worth. In alternative words, a random variable is said to be continuous if it supposes a value that falls between a particular interval.

A continuous random variable can be described as a random variable that can take on an infinite number of possible values. Due to this, the probability that a continuous random variable will take on a fixed value is 0.

The probability density function of a continuous random variable can be explained as a function that gives the probability that the value of the random variable will drop between a range of values. Let X be the continuous random variable, then the formula for the pdf, f(x).

To know more about Continuous random variable:

https://brainly.com/question/17238189

#SPJ4

The continuity equation comes from the conservation of mass.

It can be a mathematical statement of the principle of conservation of mass.

According to this, mass inflow in control volume should be equal to the mass outflow from that region at a particular time and the mass can neither be created nor be destroyed.

A continuity equation is an equation that shows the behavior of a quantity as it moves or is transported from one point or state to another

The general form of the continuity equation:

Where p=density of the fluid,

u,v,w=components of velocity in x,v, and z directions respectively.

The above equation is applicable for steady as well as unsteady, uniform s well as non-uniform, compressible as well as incompressible flow.

To know more about The continuity equation:

https://brainly.com/question/19566865

#SPJ4

Given the equations a × b = 5742 × 6368, a × c = 5748 × 6362, and c × b = 5738 × 6372, we need to determine the relationship between the three variables a, b, and c.

By comparing the given equations, we notice that the numbers on the right-hand side of each equation are very close to each other, differing only by small amounts. This suggests that a, b, and c are approximately equal.Since a × b, a × c, and c × b involve the same numbers with slight variations, we can conclude that a, b, and c are all very close in value.

Therefore, the inequality we can infer from this information is a ≈ b ≈ c, indicating that a, b, and c are approximately equal.

In simple terms, based on the given equations, it suggests that the values of a, b, and c are very similar or approximately equal to each other.

For more such questions on equations

https://brainly.com/question/29174899

#SPJ8

=======================================================

Explanation:

First we need to find the slope of this given line.

The two points on here are (0,-3) and (3,0)

Apply the slope formula

m = (y2-y1)/(x2 - x1)

m = (0-(-3))/(3-0)

m = (0+3)/(3-0)

m = 3/3

m = 1

The slope of the given line is 1. The negative reciprocal of this is -1, which is the perpendicular slope.

Side Note: Any two perpendicular lines always have their slope multiply to -1, as long as neither line is vertical.

Answer:

perpendicular lines have an inverse slope and place a negative sign on it too so our give line is as below  

Step-by-step explanation:

P1 = (0, -3)  in the form ( x1, y1)

P2 = (3 , 0 )  in the form (x2, y2)

m= slope  

m = y2-y1 / x2 - x1

m = 0-(-3) / 3 - 0

m = 3 / 3

m = 1

since our slope of the given line is 1 then a perpendicular line will have -1

every line perpendicular to the given line has a slope of -1

The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,

From the question, we have the following functions that can be used in our computation:

f(x) = x²

g(x) = (4x)²

Mathematically, these equations can be represented as

g(x) = f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4

Hence, the transformed function is (a)

Read more about transformation at

brainly.com/question/27224272

#SPJ1

Answer:

Vertex:

\(f(x)=-5(x-1)^2+4\)

Standard:

\(f(x)=-5x^2+10x-1\)

Factored:

This is unfactorable.

Step-by-step explanation:

The parabola has a vertex at (1, 4) and it crosses a point at (2, -1).

We will start off with the vertex form, given by:

\(f(x)=a(x-h)^2+k\)

Where (h, k) is the vertex.

Therefore:

\(f(x)=a(x-1)^2+4\)

Since the function passes through (2, -1), f(x) = -1 when x = 2:

\(-1=a(2-1)^2+4\)

Solve for a:

\(-5=a(1)\Rightarrow a =-5\)

Therefore, vertex form is:

\(f(x)=-5(x-1)^2+4\)

To find the standard form, expand:

\(f(x)=-5(x^2-2x+1)+4\)

Distribute:

\(f(x)=-5x^2+10x-5+4\)

And simplify:

\(f(x)=-5x^2+10x-1\)

We can now factor. Which two values multiply to be 5 and add up to be 10?

Since this is no possible, the equation is unfactorable.

To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:

7x + 21 = 7x + 35

Subtracting 7x from both sides, we get:

21 = 35

This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.

However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.

Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:

7(5 - 3) = 14

Therefore, the missing number is 14, which corresponds to answer option B.

Answer:

Step-by-step explanation: 462 Divided by 24 = 19.25$

Proof: 19.25 x 24 = 462

Answer: 19.25$

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

For more questions on comparisons

https://brainly.com/question/30097421

#SPJ8

The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

Answer:

1.3

Step-by-step explanation:

Answer:

sqrt28, 32/7, cubrt58

Step-by-step explanation:

It says to order "greatest to least" so that means the biggest number goes first, then smaller next, and the smallest goes last.

sqrt25 is 5 and sqrt28 would be a little bigger, so 5.something. (you can find exactly on a calculator, but we don't need exact)

28/7 is 4 and 35/7 is 5. So 32/7 is in between, so like 4.something.

cuberoot27 is 3 and cuberoot64 is 4. So cuberoot58 is in between, it is 3.something.

So in order from big to small is

5...

4...

3...

which is

sqrt28,

32/7

cubrt58

The order from greatest to least will be the square root of twenty-eight, thirty-two over seven, and cube root of fifty-eight. Then the correct option is A.

It is the order of the numbers in which the biggest number comes first and then followed by the next number and then the last number will be the smallest one.

Order cube root of fifty-eight, thirty-two over seven, square root of twenty-eight from greatest to least.

∛58, 32/7, and √28

The expression is converted into decimal form, then we have

∛58, 32/7, and √28

3.87, 4.57, and 5.29

Then the order of the numbers from greatest to least will be

√28 > 32/7 > ∛58

The order from greatest to least will be the square root of twenty-eight, thirty-two over seven, and cube root of fifty-eight. Then the correct option is A.

More about the descending order link is given below.

https://brainly.com/question/320500

#SPJ2

Answer:

x = - \(\frac{3}{4}\) , x = 1

Step-by-step explanation:

4x² = x + 3 ← subtract x + 3 from both sides

4x² - x - 3 = 0 ← in standard form

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × - 3 = - 12 and sum = - 1

the factors are - 4 and + 3

use these factors to split the x- term

4x² - 4x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )

4x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(4x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

4x + 3 = 0 ( subtract 3 from each side )

4x = - 3 ( divide both sides by 4 )

x = - \(\frac{3}{4}\)

x - 1 = 0 ( add 1 to both sides )

x = 1

solutions are x = - \(\frac{3}{4}\) , x = 1

For the ordinal number, this statement means;

1. "α < β if an only if α ∈ β": This is saying that an ordinal number α is less than an ordinal number β if and only if α is a member of β and α is a subset of β.

2.  "α = {β : β < α}" can be interpreted as: "α is the set of all ordinals β such that β is less than α".

1. "α < β if an only if α ∈ β": This is saying that an ordinal number α is less than an ordinal number β if and only if α is a member of β.

In other words, α is less than β if and only if α is contained within β and every element of α is less than or equal to every element of β.

This is a fundamental property of ordinal numbers and is based on the von Neumann definition of ordinals where each ordinal is the well-ordered set of all smaller ordinals.

For an example of how this definition can be used. Let α = 1 and β = 2. Then, α is a member of β because 1 is a natural number and 2 is a natural number.

Additionally, α is a subset of β because every element of α, which is just 1, is less than or equal to every element of β, which is just 2. Therefore, α < β according to the definition.

2.  "α = (β : β < α)" is a definition of ordinal numbers in set theory. It says that an ordinal number α is the set of all ordinal numbers that are less than α. In other words, α is the set of all ordinal numbers that are smaller than α.

For example, when we use the von Neumann definition, the ordinal number 3 would be represented as the set {0, 1, 2} because 0, 1, and 2 are the ordinal numbers less than 3.

Find more exercises on Ordinal numbers;

https://brainly.com/question/27596976

#SPJ1

Answer:

16 is the answer

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

first u solve what is inside the bracket.

We hv 9-5 inside the bracket. So it gives us 4. now the square means that the the number should be multiplied twice.

(9-5)^2

(4)^2

4x4=16

hope i was able to make u understand :D

Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

Answer:

-94

Step-by-step explanation:

BODMAS

START WITH THE BRACKET

\(6 - ({ \frac{4}{2} \times 5 })^{2} \)

\(6 - ({2 \times 5})^{2} \\ 6 - {10}^{2} \\ 6 - 100 \\ = - 94\)

Let us first change these fractions into each other's equivalent fractions , so that we can order them from the smallest to the largest .

\( (i) \: \frac{1}{2} = \frac{(1 \times 3)}{6} \)

\(\implies \color{olive} \frac{1}{2} = \color{hotpink} \frac{3}{6}\)

\((ii) \: \frac{1}{3} = \frac{(1 \times 2)}{6} \)

\(\implies\color{olive} \frac{1}{3} = \color{hotpink} \frac{2}{6} \)

\((iii) \: \frac{5}{6} = \frac{(5 \times 1)}{6} \)

\(\implies\color{olive} \frac{5}{6} = \color{hotpink} \frac{5}{6} \)

Therefore, the fractions arranged in order from the least to the greatest :-

\( \bold\color{hotpink} { \color{olive} = \color{hotpink} \frac{1}{3}

,

\color{olive} \frac{1}{2}

,

\color{hotpink} \frac{5}{6} }\)