If Var(Z)=4, find the variance of Y if Y=3Z+2.

Answer: A. <

Step-by-step explanation:

-2.2 if less than -4

>  is the symbol that  makes the statement true. Therefore, the correct option is option A.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal symbol ()" to indicate that two values are not equal. But several inequalities are utilised to compare the numbers, whether they're less than or higher than.

The different inequality symbols, characteristics, and methods for resolving linear inequalities in one variable as well as two variables will all be covered in this article along with examples.  > is the symbol that  makes the statement true.

Therefore, the correct option is option A.

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The second inputs are -16 , -10 , -4, 2 ,8   an integer.

What in math is an integer?

     x                                      y = 6x - 4                                                      (x,y )                                                                                                                        

  -2                                           6 * -2 - 4                                         ( -2 , - 16)

______________________________________________________

   - 1                                          - 1 * 6 - 4                                         ( -1 , -10 )

________________________________________________________

   0                                           0 * 6 -4                                            ( 0 , -4)

________________________________________________________

     1                                          6 * 1 - 4                                             ( 1 , 2)

________________________________________________________

    2                                           6 * 2 - 4                                          ( 2 , 8 )

_______________________________________________________

the second inputs are -16 , -10 , -4, 2 ,8

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The complete question is -

Find five solutions of the equation. Select integer values for x, starting with - 2 and ending with 2. Complete the table of values below y =6x-4 (x,y) Complete the table to the right by typing an integer for the first input and an ordered pair for the second input. х y = 6x-4 (x,y) -2 - 1 0 1 2 Use two of the given points to graph the equation. Click to enlarge graph

The figure with these coordinates are R'(0, -4), S'(2, 0), T'(3, 0) and U' (4, -1) given below. Therefore, option A is the correct answer.

Given that, the translation is 3 units right and 4 units down.

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions. Since it is just moving the shape from one place to other, there is no change in the shape.

The coordinates of the given figure are R(-3, 0), S(-1, 4), T(0, 4) and U(1, 3).

If the translation is 3 units right and 4 units down, then the coordinates become (x+3, y-4).

That is, R'(-3+3, 0-4)=(0, -4)

S'(-1+3, 4-4)=S'(2, 0)

T'(0+3, 4-4)=T'(3, 0)

U'(1+3, 3-4)=U' (4, -1)

So, the coordinates are R'(0, -4), S'(2, 0), T'(3, 0) and U' (4, -1)

The figure with these coordinates are R'(0, -4), S'(2, 0), T'(3, 0) and U' (4, -1) given below. Therefore, option A is the correct answer.

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The number of ways to select a chair person, a vice chairperson, a secretary, and a 4-person advisory committee is 303600 ways.

It should be noted that from the information, the engineering department of a large company has 25 members and the members must select a chair person, a vice chairperson, a secretary, and a 4-person advisory committee.

Therefore, the number of different ways that this can be done will be:

= 25P4

= 25! / (25 - 4)!

= 25! / 21!

= 25 × 24 × 23 × 22

= 303600 ways

Therefore, there are 303600 ways.

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Answer:

400, 440, or 480

Step-by-step explanation:

Without both dots, 400

With one dot, 440

with both dots, 480

Please correct me if I am wrong.

The value obtained from the given function f(z) = 10z²-9z+3 are-

For the given function;

f(z) = 10z²-9z+3.

The quotient is given as;

Quotient = f(4+h)-f(4)

Put the values (4 + h) and 4 at the place of z in the function.

f(4+h)-f(4) = 10(4 + h)² - 9(4 + h) + 3 -[10(4)² - 9(4) + 3)]

f(4+h)-f(4) = 10h² + 160 -9h + 80h + 3 - 160 + 36 - 3

Cancel the values;

f(4+h)-f(4) = 10h² + 80h - 9h

f(4+h)-f(4) = 10h² + 71h.

Thus, comparing the obtained equation by give form of (ah + b)

a = 10h and b = 71h.

Therefore, the obtained values for the given function f(z) is;

a = 10h and b = 71h.

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Jane is traveling at 26.66 mph

Jill is traveling at 5.33 mph .

let the speed of jane and jill are

Jill = x mph

Jane = 5x mph

where mph= Miles per hour

To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time.

we also write as -

Distance = rate x time

8x + 8(5x) = 256

 8x + 40 x = 256

48x = 256

x = 256/48

x = 5.33 mph

jill is traveling at 5.33 miles per hour. We can find jane speed by put the value of x

5 x = 5×5.33

5x = 26.66 mph

So Jane is traveling at 26.66 mph

      Jill is traveling at 5.33 mph

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The equivalent expression of the expression given as 7.4z - 5(-1.6z + 2.4) is -0.6z + 12

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

7.4z - 5(-1.6z + 2.4)

Open the bracket

7.4z - 5(-1.6z + 2.4) = 7.4z - 8z + 12

Collect the like terms in the above expression

So, we have

7.4z - 5(-1.6z + 2.4) = 7.4z - 8z + 12

Evaluate the like terms in the above expression

So, we have

7.4z - 5(-1.6z + 2.4) = -0.6z + 12

Hence, the equivalent expression of the expression given as 7.4z - 5(-1.6z + 2.4) is -0.6z + 12

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The number is 30.

Step-by-step explanation:

n=number.

2/3n+1/6n=25

Make a common denominator for 2/3 and 1/6 and then combine like terms.

4/6n+1/6n=25

5/6n=25

divide 5/6 on both sides to isolate n.

n=25/(5/6)

oreja.

n=25/1/5/6

nu(25×6)/(5×1)

n=150/5

n=30

OR

multiply the reciprocal instead of dividing.

n=25×(6/5)

n=150/5

n=30

Answer:

Step-by-step explanation:NIDIHNG S,AST3RE TIRWACRE

I THINK THAT UR

The solution of the given differential equation is;

-1/(b/a + 4) = -㏑|a| - 1/5.

The given differential equation is-

(b² + 7ab + 16a²)da + a²db = 0

Take da common from both;

b² + 7ab + 16a² + a²db/da = 0

The curve passes through the point (a = 1, b = 1).

As, the given differential eq is the homogeneous eq; we can use it as;

Put, b = va

Differentiate above applying product rule.

db/da = (dv/da)a + v

Substitute the value in the main equation;

(va)² + 7a(va) + 16a² + a²( (dv/da)a + v ) = 0

Dividing whole equation by a².

v² + 7v + 16 + (dv/da)a + v  = 0

Further simplifying;

(dv/da)a = -(v² + 8v + 16)

(dv/da)a = -(v + 4)²

Bring similar variable together;

dv/(v + 4)² = -da/a

Integrating the equation;

-1/(v + 4)  = -㏑|a| + C    ; c is the integration constant.

Substitute again the values of v;

-1/(b/a + 4)  = -㏑|a| + C   ........equation 1

Now use the given points; a = 1; b = 1.

-1/(1/1 + 4)  = -㏑|1| + C      [㏑|1| = 0]

-1/5 = C

Put the value of C in equation 1.

-1/(b/a + 4)  = -㏑|a| - 1/5; is the required differential equation.

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Answer:

• is the graph that of a function? yes

• the domain is [-π, π] and the range is [-1, 1]
• the intercepts are (π/2, 0), (-π/2, 0), (0, 1)

• determine if the graph is symmetrical: it is symmetrical with respect to the y-axis.

Yes, the graph shows a function.

The domain is [-π, π] and the range is [-1, 1]

The intercepts are (π/2, 0), (-π/2, 0), (0, 1)

It is symmetrical with respect to the y-axis.

We have to given that,

The graph of function is shown in image.

Since, A relation between a set of inputs having one output each is called a function. And, The set of all inputs of the function is called Domain of set.

Hence, By given graph,

It satisfy the vertical line test,

Hence, It shows function.

And, The domain is [-π, π] and the range is [-1, 1]

Here, Graph cut at points (π/2, 0), (-π/2, 0), (0, 1).

Hence, The intercepts are (π/2, 0), (-π/2, 0), (0, 1)

Now, From the graph,

It is symmetrical with respect to the y-axis.

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From the given table of the population, between 2000 and 2006  the population of the town decreased by 31.2%.

As given in the question,

Population of a town given in the table

Year                           Population of the town

2000                           27,488

2006                            18,906

Population of 2006  <  population of 2000

Decrease in population = 27,488 - 18,906

                                       = 8,582

Decrease of the population in percentage = (Difference/original) ×100

                                                                       = ( 8,582 / 27,488 ) × 100

                                                                       = 31.2%

Therefore, from the given table of the population, between 2000 and 2006  the population of the town decreased by 31.2%

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Answer:

32%

Step-by-step explanation:

27488-18906=8582

27488/8582=3.2

3.2x100=32

decrease by 32

mark me brainliest the other answer is wrong

11) is 1/2 and 45% and 0.6 and finally 1

12) is 0 then 50% then 0.8 then 4

The solution to the composite functions are;

(q o r)(-2) = 14

(r o q)(-2) = 27

We are given the functions;

q(x) = 2x - 4

r(x) = -3x + 3

(q o r) simply means; q(r(x)). Thus, it is expressed as;

(q o r) = 2(-3x + 3) - 4

Multiply out the bracket to get;

(q o r) = -6x + 2

(q o r)(-2) = -6(-2) + 2

(q o r)(-2) = 14

(r o q) simply means; r(q(x)). Thus;

(r o q) = -3(2x - 4) + 3

Multiply out the bracket to get;

(r o q) = -6x + 12 + 3

(r o q) = -6x + 15

(r o q)(-2) =  -6(-2) + 15

(r o q)(-2) = 27

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The solution to the compound inequality is (-5, infinity) U (-8, infinity)

The compound inequality is given as

3x + 2 > 2x - 3 > x - 11

Add 3 to all sides of the inequality

So, we have

3x + 5 > 2x > x - 8

Split the inequality

So, we have

3x + 5 > 2x  and 2x > x - 8

Evaluate the like terms

x + 5 > 0  and x > - 8

This gives

x > -5  and x > - 8

As an interval notation, we have

(-5, infinity) U (-8, infinity)

Hence, the solution to the compound inequality is (-5, infinity) U (-8, infinity)

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Answer:

1.  17.5 units²

2.  16 units²

Step-by-step explanation:

Given vertices of ΔABC:

Plot the vertices on the given graph paper and join with line segments to create the triangle.

As point B and C share the same x-coordinate, and points A and B share the same y-coordinate, ΔABC is a right triangle with base AB and height BC.

[tex]\begin{aligned}\textsf{Area of a triangle} & = \sf \dfrac{1}{2} \times base \times height\\\implies \textsf{Area of $\triangle$ ABC} & = \sf \dfrac{1}{2} \times AB \times BC\\& = \sf \dfrac{1}{2} \times 7 \times 5\\& = \sf \dfrac{35}{2}\\& = \sf 17.5 \:\:units^2\end{aligned}[/tex]

Given vertices of rectangle WXYZ:

Plot the vertices on the given graph paper and join with line segments to create the rectangle.

The area of a rectangle is found by multiplying the length by the width. To find the area of rectangle WXYZ, find the length (WZ or XY) and the width (WX or ZY) using the distance formula, then multiply them.

Distance between two points

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\textsf{where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points}.[/tex]

[tex]\begin{aligned}WZ & =\sqrt{(x_Z-x_W)^2+(y_Z-y_W)^2}\\& =\sqrt{(4-0)^2+(-4-0)^2}\\& =\sqrt{(4)^2+(-4)^2}\\& =\sqrt{16+16}\\& =\sqrt{32}\sf \:\:units\\\end{aligned}[/tex]

[tex]\begin{aligned}WX & =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\& =\sqrt{(x_X-x_W)^2+(y_X-y_W)^2}\\& =\sqrt{(2-0)^2+(2-0)^2}\\& =\sqrt{(2)^2+(2)^2}\\& =\sqrt{4+4}\\& =\sqrt{8}\sf \:\:units\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Area $WXYZ$} & = WZ \times WX\\& = \sqrt{32} \times \sqrt{8}\\& = \sqrt{32 \cdot 8}\\& = \sqrt{256}\\& = 16\sf \:\:units^2\end{aligned}[/tex]

The clothes dryer uses the maximum energy at 1.018 × 10⁶ kilowatt-hour

Kilowatt-hours are primarily used to sell electrical energy to customers. A device's power consumption in kilowatts, operating time in hours, and price per kilowatt-hour are multiplied to get the cost of running it. Utility companies' charges for power may vary based on the customer's consumption patterns over time. Prices vary widely depending on the location. Prices in the US can differ by a factor of three between states.

A composite energy unit called a kilowatt-hour is defined as one kW sustained for (and multiplied by) one hour. It is equivalent to 3600 kilojoules, or 3.6 MJ, when expressed in the joule (symbol J), the SI's base unit of energy.

So from the given conditions the television uses the least amount of energy per day at 300 kilowatt-hour.

The amount of energy per year:

Television  = 300 × 365 = 1.095 × 10⁵ kilowatt-hour

Dryer = 2790 × 365 = 1.018 × 10⁶ kilowatt-hour

Refrigerator = 225 × 365 = 8.213 × 10⁴ kilowatt-hour

Hence the maximum energy is used by the Dryer.

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Answer:

45%

Step-by-step explanation:

27/60 x 100

.45 x 100

45

To reflect a graph, f(x) over the x-axis, you take -f(x). So if f(x)=x^2, then -f(x) is -x^2. Then g(x)=-x^2 is the reflection of your function f(x) over the x-axis.

A mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

Four broad categories can be used to classify different types of functions. dependent upon element Function is a one-to-one relationship, a many-to-one relationship, onto function, one-to-one and into function.

An output variable and one or more input variables are the minimum number of variables in a function. An equation can have any number of variables and declares that two expressions are equal (none, one, or more).

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She should take the offer from the second family as she will make $5 more.

First family offers her $40 plus $5 per hour. Therefore, the amount that she can make for 5 hours will be:

= $40 + 5($5)

= $40 + $25

= $65

The second family offers $20 plus $10 per hour. Therefore, the amount that will be made will be:

= $20 + $10(5)

= $70

Therefore, she should take the offer from the second family as she will make $5 more. This was calculated as $70 - $65 = $5.

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It should be noted that an IAT is an experiment.

An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.

An experiment is The Implicit Association Tests (IAT). By taking measures, IAT assesses how strongly concepts are associated with one another. According to Carpenter et al. (2019), the IAT, which is an experiment, obtains its findings by meticulously associating things with related answer keys, such as athletic and clumsy.

Therefore, it should be noted that an IAT is an experiment.

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Answer: your mom

Step-by-step explanation: your dad your brother your sister your uncle your aunt your aaaaauuuuuggggghhhh

Based on the price of the shirt and the sales tax, the total cost of Mrs. Lindeman's shirt is $28.08

When given the sales tax and the price of an item, then you are to add the sales tax of that item to the price of the item to find the total cost of the item.

The sales tax on the shirt that Mrs. Lindeman bought is:

= Price of shirt x sales tax rate

= 26 x 8%
= $2.08

The total cost of the shirt to Mrs. Lindeman is:

= 26 + 2.08

= $28.08

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Answer:

Correct

Step-by-step explanation:

Answer: yessir

Step-by-step explanation:

The required solution of the scaled factored figure is,
B. Figure B has the same number of edges as Figure A.
E. Figure B has angles with the same measures as Figure A.

Given that,
Figure B is a scaled copy of Figure A. We have to select all of the statements that must be true.

Here,
Figure B is similar to figure A but smaller than figure A.
So, Options A, C, and D are false
since the figure is similar, and the number of edges and angles are also equal.
So, Options B and E are correct.

Thus, the required solution of the scaled factored figure is,
B. Figure B has the same number of edges as Figure A.
E. Figure B has angles with the same measures as Figure A.

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Step-by-step explanation:

[tex] = \sqrt{ {x2 - x1)}^{2} + (y2 - y1) } \\ = \sqrt{ {( - 4.4 - ( - 4.4))}^{2} + ( { - 6.5 - 9.8)}^{2} } \\ = \sqrt{ {0}^{2} + 265.69 } \\ = 16.3units[/tex]

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