Tomás is gathering data about the sleeping habits of high school students. So far, he has completed 3 different surveys, each with 70 respondents.

What should Tomás expect as he continues his data-gathering process?

As the number of surveys increases, the mean of the sample means will approach ______, and the means will be ___________.
70 Points

i wont give the answer but i will tell you how to solve

Opening Exercise

The original triangle, labeled A, has been reflected across the first line, resulting in the image labeled B. Reflect the image across the second line. Carlos looked at the image of the reflection across the second line and said, “That’s not the image of triangle A after two reflections; that’s the image of triangle A after a rotation!” Do you agree? Why or why not?

Discussion

When you reflect a figure across a line, the original figure and its image share a line of symmetry, which we have called the line of reflection. When you reflect a figure across a line and then reflect the image across a line that intersects the first line, your final image is a rotation of the original figure. The center of rotation is the point at which the two lines of reflection intersect. The angle of rotation is determined by connecting the center of rotation to a pair of corresponding vertices on the original figure and the final image. The figure above is a 210° rotation (or 150° clockwise rotation).

Exploratory Challenge

Line of symmetry of a figure: This is an isosceles triangle. By definition, an isosceles triangle has at least two congruent sides. A line of symmetry of the triangle can be drawn from the top vertex to the midpoint of the base, decomposing the original triangle into two congruent right triangles. This line of symmetry can be thought of as a reflection across itself that takes the isosceles triangle to itself. Every point of the triangle on one side of the line of symmetry has a corresponding point on the triangle on the other side of the line of symmetry, given by reflecting the point across the line. In particular, the line of symmetry is equidistant from all corresponding pairs of points. Another way of thinking about line symmetry is that a figure has line symmetry if there exists a line (or lines) such that the image of the figure when reflected over the line is itself.

Does every figure have a line of symmetry?

Answer:

hmmmm im thinking

Step-by-step explanation:

simply, they can set in many different ways

Answer:

The equation is 12.5n where n stands for any hour that Phil is riding his bike. I'm using the nth term here though.

Step-by-step explanation:

Answer:

f(x) = 12.5x

Step-by-step explanation:

50 / 4 = 12.5

25 / 2 = 12.5

so...

for 1 hour, there is 12.5 miles traveled

so...

f(x) - 12.5x

Plz mark as brainliest if this helped! Have a nice day!!!

-Lil_G

Answer:

x = 8

Step-by-step explanation:

Apply the exterior angle theorem.

Thus:

45 + 6x + 7 = 13x - 4

Add like terms

52 + 6x = 13x - 4

52 + 6x - 13x = 13x - 4 - 13x

52 - 7x = -4

52 - 7x - 52 = -4 - 52

-7x = -56

-7x/-7 = -56/-7

x = 8

Answer:

3(4g-4)<-6(-3g+4)

Answer:

BD = 6

Step-by-step explanation:

Theorem:  The altitude to the hypotenuse of a right triangle is the mean proportional between the segments of the hypotenuse.

So, [tex]\frac{4}{BD} = \frac{BD}{9}[/tex]

[tex]BD^{2} = 36[/tex]

BD = 6

See how easy that is IF you know the theorem.

Answer:

The answer would be 100^32

Answer:

x = 1, x = -19

Step-by-step explanation:

1) factorise

(x−1)(x+19)=0

2) equal to 0

x−1=0 or x+19=0

x=1 or x=−19

Answer:

[tex]x = 1[/tex]

[tex]x = 19[/tex]

Step-by-step explanation:

Set up equation

[tex] {x}^{2} + 18x - 19 = 0[/tex]

Add 19 on both sides

[tex] {x}^{2} + 18x = 19[/tex]

Divide 18 by 2 and sqr it.

[tex]( \frac{18}{2}) {}^{2} [/tex]

[tex] {9}^{2} = 81[/tex]

Add 81 on both sides

[tex] {x}^{2} + 18x + 81 = 100[/tex]

Using the AC method, isolate the left side into a binomial.

[tex](x + a)(x + b)[/tex]

that a and b can be added to equal 18 and be multiplied to equal 81.

Only number that does that is 9. 9+9=18, 9×9=81

[tex](x + 9)(x + 9)[/tex]

[tex](x + 9) {}^{2} [/tex]

Set up equation

[tex](x + 9) {}^{2} = 100[/tex]

Take sqr root of both sides

[tex]x + 9 = 10[/tex]

Since sqr root of a positve number can be negative, set up this equation also

[tex]x - 9 = 10[/tex]

[tex]x = 1[/tex]

OR

[tex]x = 19[/tex]

Answer:

8 months

Step-by-step explanation:

because it's right just trust me

Answer:

8 months

Step-by-step explanation:

right on edge nuity <3

Answer:

1.6

Step-by-step explanation:

To find 20% of 8, multiply 8 by 0.2

8(0.2)

= 1.6

So, 20% of 8 is 1.6

Answer:

39°

Step-by-step explanation:

180-90-51=39

Answer:

its 39

Step-by-step explanation:

you know that a right triangle already has the angle 90 so 51 plus 90 equals 141

180-141=39

Answer:

the third one is the correct answer

Answer:

you selected the right answer already

Step-by-step explanation:

every hour he makes 25 dollars. so 2=50 and 3=75 :)

Answer:

y=-1/2x+1

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The required number of different distances possible is given as 36.

Given that,
In a board game, the distance a player travels is equal to the sum of the numbers shown when two 6-sided dice are tossed.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
1 dice have 6 outcomes
2 dice have 6 outcomes,
Number of possible combination = 6 × 6 = 36

Thus, the required number of different distances possible is given as 36.

Learn more about permutations and combinations here:

https://brainly.com/question/2295036

#SPJ5

Answer:

17/56

7/8 - 4/7 = 17/56

Answer:

17/56

Step-by-step explanation:

Multiply 7 by 7 and get 49

Then Multiply 4 by 8 and get 32

Then we Multiply the Denominators 8×7= 56

that's how u get /56

now u look at the numerators 49/56 32/56

49-32= 17

thats how u Get 17/56

Answer: B

Step-by-step explanation: 20% is correct

Answer:

This is your answer ☺️☺️

Answer:

6,7,7 is your answer

6.

3x+2=2x+8

x=6

Step-by-step explanation:

7.14x+12+10x=180

24x=180-12

x=168/24=7

8.9x-3=7x+11

9x-7x=11+3

2x=14

x=14/2=7

Answer:

-0.4

Step-by-step explanation:

:)

Answer:

1.02n

Step-by-step explanation:

A simplified version of this expression would be the following

1.02n

This is basically adding the n variables together. We do this by adding a 1 to the number being multiplied to n. This would basically add the 2% on top of what the original pay per hour is. We can prove that these two expressions are the same by substituting n for 10 in both expressions and solving them.

1.02n

1.02 * 10 = 10.2

n + 0.02n

10 + 0.02*10

10 + 0.2 = 10.2

Answer:

=25+2squared

Step-by-step explanation:

simple like terms

36-11=25

-5squared+7squared=2squared

=25+2squared

Answer:

49

Step-by-step explanation:

[tex]36 - {5}^{2} + {7}^{2} - 11[/tex]

[P.E.D.M.A.S rule] (First exponents)

= 36 - 25 + 49 - 11. (Then addition)

= 36 + 49 - 25 - 11

= 85 - 36. (At last subtraction)

= 49 (Ans)

Answer:

If a grocery store charges $3 for 2 pounds of tomatoes then it costs $1.50 per pound of tomato, so we multiply this by 7 to get $10.50

Hope this helped!

Answer: $10.50

$3.00/2=$1.5

$1.50*7= $10.50

Answer:

the answer is :

25-30=-10

Answer:

[tex]\boxed {\boxed {\sf 3 \ pounds \ of \$4 \ candy}}[/tex]

[tex]\boxed {\boxed {\sf 2.5 \ pounds \ of \$3.50 \ candy}}[/tex]

Step-by-step explanation:

Let's create a system of equation. First, define the variables. One type of candy is x and the other is y.

Now, create 2 equations, one for the weight and one for the price.

[tex]x+y=5.5[/tex]

[tex]4x+3.5y=20.75[/tex]

The first equation represents the mixture of both types of candy that weighs 5.5 pounds. The second represents the prices of the candy and the mixture.

Next. solve for the variables using substitution. Isolate a variable in the first equation. Let's isolate y by subtracting x.

[tex]x-x+y=5.5-x\\y= 5.5-x[/tex]

Now, we know what y is equal to, so we can substitute it into the second equation.

[tex]4x+ 3.5 (5.5-x)= 20.75[/tex]

Distribute the 3.5. Multiply each term by 3.5

[tex]4x+(3.5*5.5)+(3.5*-x)[/tex]

[tex]4x+19.25-3.5x= 20.75[/tex]

Combine like terms on the right side.

[tex]0.5x+19.25=20.75[/tex]

Subtract 19.25 from both sides of the equation to isolate the variable.

[tex]0.5x+19.25-19.25=20.75-19.25[/tex]

[tex]0.5x= 1.5[/tex]

Divide both sides by 0.5.

[tex]\frac {0.5x}{0.5}= \frac{1.5}{0.5}\\x=3[/tex]

Now we can substitute x back into the first equation and solve for y.

[tex]x+y=5.5\\3+y=5.5[/tex]

Subtract 3 from both sides to isolate the variable.

[tex]3-3+y=5.5-3\\y=2.5[/tex]

There was 3 pounds of the $4 candy and 2.5 pounds of the $3.50 candy.

Answer: c

Step-by-step explanation: