Three park rangers had to report on the ways visitors use their facilities. Each ranger surveyed a sample of park visitors. Determine whether or not each sampling described is random or biased.

Answer:

13

13

Step-by-step explanation:

-7+6= 7+6= 13

-7+6= 7+6= 13

Answer: 30.25 cm2.

Step-by-step explanation:

Given: Perimeter of a square = 22 cm.

Concept used: Area of a square = side2 Perimeter of a square = 4 × side.

Calculations: Let the side of the square be 'a' Perimeter of a square = 22 cm. ⇒ 4a = 22. ⇒ a = 5.5 cm. ...

∴ Area of square is 30.25 cm2.

Answer:

To find the x-intercept, substitute in

0 for y

and solve for x. To find the y-intercept, substitute in

0 for x

and solve for y.

x-intercept(s): (−5,0)

y-intercept(s): (0,10)

Step-by-step explanation:

90 30 + 50 +(2x+10)=90

Answer:

----------------------------

Regular polygon has congruent sides and angles.

Irregular polygon has different sides and angles.

According to markings on figures and properties we can state:

Answer:7/9 of a pound in each lot

Step-by-step explanation:4 2/3 = 14/3

14/3 divided by 6 will give us 14/18 which simplifies to 7/9

Answer:

-2

Step-by-step explanation:

Answer: -2

Step-by-step explanation: 5 x 2 = 10

5 x -2 = -10

-5 x 2 = -10

Basically reverse the process with division, if there is one negative the answer will be negative.

Step-by-step explanation:

Y=0,-2,2

X=-1,0,1

Since x represent y = - 2x

The points that fit the rule on a coordinate plane are (0, 0), (1, -2), (2, -4) and (3, -6)

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

Rule: x→y=−2x

Express properly

So, we have the following representation

Rule: x → y = −2x

As an equation, we have

y = -2x

Next, we set values for x and calculate the value of y

Using the above as a guide, we have the following:

x : 0 → y = −2(0) = 0

x : 1 → y = −2(1) = -2

x : 2 → y = −2(2) = -4

x : 3 → y = −2(3) = -6

So, the points that fit the rule on a coordinate plane are (0, 0), (1, -2), (2, -4) and (3, -6)

Read more about linear relation at

https://brainly.com/question/30318449

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Answer:b

Step-by-step explanation:

Answer:

#3 points are
(-4, 2)
(4, 2)

(-4, -2)

(4, 0)

#4 scale factor = 1/4

#5 scale factor = 1/2

Step-by-step explanation:

#3

take the given points and multiply the x and y by 2/3

#4 take any point and compare it to a similar point on the dilated graph. for example, you take a point from the original graph (-2, 4) and a point from the dilated graph (-1/2, 1) since you multiply -2 by 1/4 to get -1/2, that is your scale factor.

#5 same as #4 but with different points

The number of times Maria drove the car on day 4 is 7 times.

A line graph is a graph that connects different data points on a graph using a straight line. A line graph is made up of a x-axis and a y-axis. In the line graph given, the number of days is on the x-axis and the number of times the car was driven is on the y-axis. A line graph is used to show quantitative data. Line graphs are used to visualise data.

In order to determine the number of times Maria drove the car on day 4, locate where day 4 is on the x-axis. Then trace 4 upward toward a data point. When the data point is located, trace it to the y-axis. When day 4 is traced to the y-axis, the value gotten is 7.

To learn more about line graphs, please check: brainly.com/question/27252279

Answer:

She drove her car 7 times on day 4.

Step-by-step explanation:

The left column is how many times she drove her car and on day 4, the yellow dot is on line 7.

Answer:

The translation used to create the image from polygon ABCD to polygon A' B' C' D' is 5 units down.

Step-by-step explanation:

You can see this by observing that all of the y-coordinates in A' B' C' D' are 5 units less than their corresponding y-coordinates in ABCD. Specifically, the y-coordinates of the vertices in ABCD are (-1, -5, -5, -1), and the y-coordinates of the vertices in A' B' C' D' are (-6, -10, -10, -6).

Therefore, the vertical shift or translation used to create the image is 5 units down.

Answer:

5 units down.

Step-by-step explanation:

To solve this question, we need to compare the coordinates of the corresponding vertices of the two polygons and see how they change. A translation is a type of transformation that slides a figure by a certain distance and direction without changing its size or shape. The rule of a translation can be written as (x, y) -> (x + h, y + k), where h and k are the horizontal and vertical shifts, we can see that:

We can see that all the vertices have the same change in their coordinates: x stays the same and y decreases by 5. This means that the translation used to create the image is 5 units down. The rule of this translation can be written as (x, y) -> (x, y - 5). Therefore, the answer is 5 units down.

Answer:

30

Step-by-step explanation:

3x+ 10= 100

-10           -10

3x=90

divide both sides by 3 nd you get 30

Answer: 6t = 9

Step-by-step explanation:

What is visually explicable is that the 2 tape diagrams are equal.

One tape diagram equals 9, one is divided into 6 equal parts, each equals t.

6t's make up a diagram that is equal to a diagram equal to 9.

therefore 6t=9

Answer:

I believe the answer is B.

Step-by-step explanation:

Answer:

D would be correct. The IQR is the best measure of variability, and it equals 2.5.

Step-by-step explanation:

Because there are two outliers present which are 1 and 2, the best answer would be the IQR.

PLEASE PUT BRAINLIEST

Answer:

total area of the given figure is 126

step by step guide:

1) 14×6+1/2×14×6

2) 84+42

3) =126

Answer: 10

Step-by-step explanation:

20*6*8=960

960/(12*8)=10

Answer:

10

Step-by-step explanation:  volume=l*w*h   20*6*8=960       12*8*10=960

Explanation:

30/5=6

6*3=18

Therefore, she can ride approximately 18 miles in 3 hours.

"Pure mathematics is, in its way, the poetry of logical ideas" -Albert Einstein

Answer:

Price per large envelope = $1.42 (option A)

Price of each postcard = $0.35 (not asked for in this specific question)

Step-by-step process for solution given below

Step-by-step explanation:

The first thing to do for this problem and other similar problems is to set up the system of linear equations to be solved

We start with the unknowns and provide variable names for these unknowns

There are two unknowns here - the cost of each postcard and the cost of each large envelope

Let
x = cost of one postcard

y = cost of one large envelope

Customer 1 bought 14 postcards(cost = 14x) and 5 envelops(cost = 5y) for a total cost of $12

We can set up this as an equation:
12x + 5y =  12    ............ [1]

Customer 2  bought 10 postcards(cost = 10x) and 15  envelops(cost = 15y) for a total cost of $24.80
This translates to the following equation:
10x + 15y = 24.80 .... [2]

Let's re-write these equations one below the other for easier solution:

[tex]\begin{amatrix}14x+5y=12\dots[1]\\ 10x+15y=24.8\dots[2]\end{amatrix}[/tex]

Solving by substitution:
From any one of the above equations, express one variable in terms of the other variable and substitute for that variable in the other equation to solve.

Take equation [1]
[tex]14x+5y=12[/tex]

Let's express x in terms of y.

Move 5y to the right:
[tex]14x=12-5y[/tex]

[tex]x =\dfrac{12-5y}{14}[/tex]

Use this expression in y for x in equation [2]

[tex]10x + 15y = 24.8\\\\\implies 10 \cdot \dfrac{12-5y}{14}+15y=24.8\\\\\implies \dfrac{\left(12-5y\right)\cdot \:10}{14} + 15y = 24.8\\\\\implies \dfrac{\left(12-5y\right)\cdot \:10}{14} + 15y = 24.8\\\\[/tex]

Multiply throughout by 14:
[tex]14 \cdot \dfrac{\left(12-5y\right)\cdot \:10}{14} + 14\cdot 15y = 14 \cdot 24.8\\\\(12-5y)10 + 210y = 347.2\\\\120 - 50y + 210y = 347.2\\\\120 + 160y = 347.2\\\\160y = 347.2- 120\\\\160y = 227.2\\\\y = \dfrac{227.2}{160}\\\\y = 1.42[/tex]

Substitute y = 1.42 in equation [tex]x=\dfrac{12-5y}{14}[/tex]
[tex]x=\dfrac{12-5\cdot \:1.42}{14}\\\\x = 0.35\\\\[/tex]

So the cost of each large envelope was $1.42 and cost of each postcard was $0.35

Answer is option A

Solve by elimination

The idea here is to get the coefficients of one of the variables the same in both equations by multiplying / dividing one or both of the equations by some factor and then add/subtract to isolate the other variable and solve

For equations 1 and 2 do the following

Subtract the equations:
[tex]70x+105y=173.6\\-\\70x+25y=\;\;\;\;\;60\\\\[/tex]
-------------------------------
[tex]80y=113.6[/tex]

y = 113.6/80 = 1.42 as before

Substitute for y in equation 1 and solve for x
14x + 5y = 12 => 14x + 5(1.42) = 12

=> 14x + 7.1 = 12

=> 14x = 12 - 7.1

=> 14x = 4.9

=> x = 4.9/14 = 0.35 as before

I personally prefer solving by elimination since solving by substitution involves heavy duty fractional expressions

Answer:

t = 5 kilometers

Step-by-step explanation:

From the given figure,

Perimeter = 18 kilometers

Now, the formula for perimeter of a rectangle = 2(l + b)

Where,

'l' is the length of the rectangle

and

'b' is the breadth of the rectangle.

Since length is the longest side of a rectangle, therefore from the given figure

=> l = t kilometers

and

=> b = 4 kilometers

Substituting values in the formula,

18 = 2(t + 4)

=> 18/2 = t + 4

=> 9 = t + 4

=> 9 - 4 = t

=> t = 5 kilometers

Answer:

5 km

Step-by-step explanation:

We know that the perimeter of this rectangle is 18km.

We also know that 1 side is 4km.

Given the perimeter formula:

[tex]P=2(l+w)[/tex]

We can substitute our given values:

18=2(4+w)

Solve the right side

18=8+2w

subtract 8 from both sides

10=2w

divide both sides by 2

5=w

This means that z, the width, is 5 km.

Hope this helps!

Answer: 3

Step-by-step explanation: 15% of the people surveyed had both a cat and a dog, so you would find 15% of 20. Find 15% of 20 by doing 20 x .15

Answer:

OK so, volume= length x width x height

so, if the length of kyles box is 2, and his height is 3, but the volume is 12, then the width would be 2.

2 x 2 x 3=12

however, for myla, if her box is, 2 feet long and 4 feet high, but the volume is 16, then, her width is also 2.

2 x 2 x 4= 16

a way to look at this is, in the problem you are given the height and length, so, if its length times width times height, take your given length and multiply it by a number that will make it equal your given volume.

for example, let q=width, let m=height, and let j=length, p=volume, h=random variable.

j (x) h (x) m=p

its your job to find h.

hope this helps!

Step-by-step explanation: