A characteristic of a simple random sample is that all samples of the same _______ have an equal chance to be selected.

By solving a system of equations, we see that:

x = 89 and y = 98.

First, we can write:

x = a*10 + b

y = b*10 + c

Where a, b, and c are single digit numbers. You can see that b is on both numbers because we know that the numbers share a digit, but on different order.

We also know that:

x + y = 187

a + b + b + c = 34

I we rewrite the first equation, we get:

(a*10 + b) + (b*10 + c) = 187

10a + 11b + c = 187

Then we have two equations:

a + 2b + c = 34

10a + 11b + c = 187

In both equations we can isolate c:

34 -2b -a = c

10a + 11b - 187 = c

Now we have:

-a - 2b + 34  = -10a - 11b + 187

Solving that, we get:

9a + 9b = 153

a + b = 153/9 = 17

Then a and b add up to 17, we can take:

a = 8

b = 9

And:

c = -a - 2b + 34 = -8 - 9 - 9 + 34 = 8

Then the numbers are:

x = 89

y = 98

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Change in Amplitude is 2

Change in Period is π

Transforming sin(x) to [tex]3sin(\frac{2x}{3})[/tex]

y = a(sin(bx+c)) + d

Where, a is Amplitude and [tex]\frac{2}{b}[/tex]π is period

Amplitude of sin(x) =1

Period of sin(x) = 2π

Amplitude of 3sin([tex]\frac{2x}{3}[/tex]) = 3

Period of 3sin([tex]\frac{2x}{3}[/tex]) = [tex]\frac{2}{\frac{2}{3}}[/tex]*π = 3π

Change in Amplitude = 3sin([tex]\frac{2x}{3}[/tex]) - sin(x)

                                    = 3 - 1

                                    = 2

Change in Period = 3sin([tex]\frac{2x}{3}[/tex]) - sin(x)

                              = 3π - 2π

                               = π

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Answer: B

Step-by-step explanation:

For this problem, I will be using the equal sign instead of the congruent sign for segments.

1) AC = AB, CD = DE, m∠ABC = 70°, m∠ECB = 35° (given)

2) ∠ACB is congruent to ∠ABC (base angles theorem)

3) m∠ACB = 70° (congruent angles have equal measure)

4) m∠DCE = 35° (angle subtraction postulate)

5) ∠DCE and ∠DEC are congruent (base angles theorem)

6) m∠DEC = 35° (congruent angles have equal measure)

7) ∠DEC is congruent to ∠ECB (angles with the same measure are congruent)

8) DE is parallel to BC (if two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel)

The number of milliliters of sodium polystyrene sulfonate that the nurse Flora should administer is; 200 mL

We are told that;

Medication dosage supply = 60mL for each 15 grams

Now, if the doctor prescribes 50 grams of the drug sodium polystyrene sulfonate rectally, then the volume to be administered is;

V = (50 * 60)/15

V = 200 mL

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Answer:

amber should graph the second equation

Here, we are concerned about two variables from the above data set, namely, Condo or co-ops and the Unemployment rate. We use the CORREL function of Excel to calculate the correlation coefficient rate and it is = R = -0.01873.

A Weak (negative) correlation exists between the list price of condominiums and co-ops and the unemployment rate.

The correlation coefficient is a statistical measure of the strength of the connection between the relative actions of two variables. The values varied between -1.0 and 1. zero. A calculated wide variety greater than 1. zero or less than -1.zero means that there was an error within the correlation size.

The correlation coefficient is decided with the aid of dividing the covariance by way of the product of the 2 variables' popular deviations.

Correlation values above 0. eight are deemed to signify a strong tremendous linear courting between the variables. Values among zero and 0. three imply a vulnerable relationship or none.

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The area of ​​the trapezoid is x+11 cm.

Given a trapezoid has one side of (x+6) cm, the other side is 5 cm, and the height is 2 cm.

A two-dimensional quadrilateral consisting of the sum of non-adjacent parallel sides and a suitable non-parallel side is denoted as a trapezoid.

Now we will use the formula to find the area of ​​a trapezoid

Area = 1/2 × (base 1 + base 2) × height

Here base 1 = (x+6) cm, base 2 = 5cm and height = 2cm

Substituting the values ​​into the formula,  we get

Area = 1/2 × (x+6+5) × 2

Area = 1/2 × (x+11) × 2

Area = x+11

Thus, the area of ​​the given figure when one side is x+6, the other side is 5 cm and the height is 2 cm is x+11 cm.

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Answer:

Step-by-step explanation:

Let's start by reading the problem since it maybe is a bit confusing at first.

The product of 8

Now we know that it starts with 8 multiplied by another number. We do not know that number yet, so let's put 8 * () and fill in the parentheses later.

So far, our equation is:

8()

.. And the sum of 4 and a number

So, 4 + n

We can enter that into our equation

8(4+n)

The next line says "..Is 112"

So, the solution to our equation is 112

Our equation becomes:

8(4+n)=112

Answer:

1.15 or [tex]\frac{15}{13}[/tex]

Step-by-step explanation:

1. The slope can be found with this formula: [tex]\frac{y2-y1}{x2-x1}[/tex]

2. Let's plug in the numbers: [tex]\frac{14--1}{13-0}[/tex]

4. [tex]\frac{15}{13}[/tex] ≈ 1.1538

The coordinate of the point C from the given triangle ABC after translation is C' = (4, -2)

A triangle is a 2D figure with 3 sides and angles. Given the coordinate C points of the triangle;

C = (-2, -3)

If these coordinate point is translated 6 units to the right and 1 units up, the resulting coordinate will be at:

C' = (-2 + 6, -3 + 1)

C' = (4, -2)

Hence the coordinate of the point C from the given triangle ABC after translation is C' = (4, -2)

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Answer: the answer is A         C'(4, -2)

Step-by-step explanation:

Hello,

Answer:

number= 4

Step-by-step explanation:

     7x - 8 = 20

⇔ 7x - 8 + 8 = 20 + 8

⇔ 7x = 28

⇔ 7x/7 = 28/7

⇔ x = 4

Answer:

certain number=4

Step-by-step explanation:

7x-8=20 then solve

By using the definition of similarity between triangles and algebraic properties, the length of the segment AB of the system is equal to 4 units.

In this problem we have two similar triangles and we need first to determine the lengths of segments AC and BC and then subtract the length of the latter from the length of the former, that is:

AC/BC = CE/CD

AC/2 = 15/5

AC = 6

AB = AC - BC

AB = 6 - 2

AB = 4

By using the definition of similarity between triangles and algebraic properties, the length of the segment AB of the system is equal to 4 units.

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The relationship between lines KO and K’O’ is given as Line K'O' = 5 * line KO

Transformation is the movement of a point from its initial point to a new location. Types of transformation are reflection, rotation, translation and dilation.

Dilation is the increase or decrease in size of a figure by a scale factor.

The larger figure was dilated using a scale factor of 5, hence:

Line K'O' = 5 * line KO

The relationship between lines KO and K’O’ is given as Line K'O' = 5 * line KO

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Answer:

C. 6

Step-by-step explanation:

[tex]\frac{ZY}{FE} =\frac{XY}{DE}[/tex]

[tex]\frac{12}{8} =\frac{9}{DE}[/tex]

[tex]12DE=(9)(8)[/tex]

[tex]DE=\frac{(9)(8)}{12} =\frac{72}{12} =6[/tex]

Hope this helps

Answer:

Option 1

Step-by-step explanation:

Hello!

We can see that the base price for a canoe is $12, as you have to spend the $12 to get the canoe.

You also have to spend $5 per hour in the canoe, which is why "t" is being multiplied by 5.

We can also look at this graphically.

The x-axis is the number of hours, while the y-axis is the price. When x is 0 (no hours on canoe), you can see that the price is $12. But as it increases by 1 hour, the price increases by $5.

To find Y-intercept, the x-value must be 0.

In the table you can see x = 0 and y = -4

so, the y-intercept of this line is (0 -4)

Hope it helps!

The  value of this expression when =-2 and x=-1 is: 3.

Given equation:

-2 and x=-1

Solving the value of the given equation

-2 and x=-1

Hence:

=-(-1)+2

=1+2

=3

Therefore the value of this expression when =-2 and x=-1 is: 3.

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Answer:

13

Step-by-step explanation:

The graph will start repeating after every 13 degrees

The period of the function is of 12 units.

The period of the function is the interval between repetitions of any function. A trigonometric function's period is the length of one whole cycle. As a starting point, we can use x = 0 for any trigonometry graph function.

The period of a function is given by the distance between it's repetitions.

Also, it is the distance between two peak value.

Looking at the graph, the distance between the repetitions is of

= 13- 1

= 12 units, which is the period of the function.

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The area of ​​the trapezoid is x+11 cm.

Given a trapezoid has one side of (x+6) cm, the other side is 5 cm, and the height is 2 cm.

A two-dimensional quadrilateral consisting of the sum of non-adjacent parallel sides and a suitable non-parallel side is denoted as a trapezoid.

Now we will use the formula to find the area of ​​a trapezoid

Area = 1/2 × (base 1 + base 2) × height

Here base 1 = (x+6) cm, base 2 = 5cm and height = 2cm

Substituting the values ​​into the formula,  we get

Area = 1/2 × (x+6+5) × 2

Area = 1/2 × (x+11) × 2

Area = x+11

Thus, the area of ​​the given figure when one side is x+6, the other side is 5 cm and the height is 2 cm is x+11 cm.

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Answer:

a=8.2

Step-by-step explanation:

The algebraic expression is: x% * 100

The statement is given as:

How much x% of sugar syrup can you make if you have 100 grams of sugar?

The amount of sugar is given as:

100 grams

So, the algebraic expression is:

x% * 100

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Answer: -5

Step-by-step explanation:

[tex]\frac{g(6)-g(3)}{6-3}=\frac{44-59}{3}=-5[/tex]

Answer:

2 tons and 1824 pounds

Step-by-step explanation:

Ton= 2,000 pounds

We know that 2,000 will go into 5824 twice, resulting in 4,000. Subtract 4,000 from 5,284, and you will have an answer of 1284. 1,284 does not go into a ton, therefore you have a remainder of 1,284 pounds.

Answer:

2√61/19

Step-by-step explanation:

sin^2 x = 1 - cos^2 x

            =  1 - (3√13/ 19)^2

             =   1 - 117/361

              =  244/361

sin x       = √244/19

              = 2√61/19.

The algebraic expression that represents the total distance traveled by the car is 10s

The given parameters are:

The distance is calculated using:

Distance = Speed * Time

So, we have:

Distance = s* 10

Evaluate

Distance = 10s

Hence, the algebraic expression that represents the total distance traveled by the car is 10s

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Complete question

Your car travels for 10 hours at an average speed of s miles per hour. Write an algebraic expression that represents the total distance traveled by the car

The graph that has been drag into the box in the image attached are the options that shows the results of that transformation.

Note that there are 4 types of function transformations which are are:

Therefore, The function above is known to have passed through the following points

(1,1) and (0,-1)

The graphs of the functions

(a) Function g(x)

The equation of the function is given as: g (x) = 2 + f (x)

This implies that f(x) is said to be translated up by 2 units.

The graph that shows this is graph (b)

(b) Function h(x) = f (x + 2)

This implies that f(x) is translated left by 2 units.

The graph that shows this is graph (e)

(c) Function k(x)  = f (x) -2

This implies that f(x) is translated down by 2 units.

The graph that shows this is graph (c)

(d) Function m(x) =  f (x - 2)

This implies that f(x) is translated right by 2 units.

The graph that depicts this is graph (f)

Therefore,  The graph that has been drag into the box in the image attached are the options that shows the results of that transformation.

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Answer:

[tex]\huge\boxed{\sf (f-g)(x) = 3x\² + 4x - 14}[/tex]

Step-by-step explanation:

Subtract both functions

(f-g)(x) = 4x² - 6 - (x² - 4x - 8)

(f-g)(x) = 4x² - 6 - x² + 4x - 8

Combine like terms

(f-g)(x) = 4x² - x² + 4x - 6 - 8

(f-g)(x) = 3x² + 4x - 14

[tex]\rule[225]{225}{2}[/tex]

Given: f(x)=4x^2-6f(x)=4x2−6g(x)=x^2-4x-8g(x)=x2−4x−8

To find : (f-g)(x)

(f-g)(x)=f(x)-g(x)(f−g)(x)=f(x)−g(x)

(4x^2-6)-(x^2-4x-8)

Using Distributive property:-

4x^2-6-x^2+4x+8

4x^2-x^2+4x+8-6

Combine like term

3x^2+4x+2

(f-g)(x)=3x^2+4x+2

Hence, The composite function is (f-g)(x)=3x^2+4x+2