Nathan and jordan design surveys to determine the average amount of time bicyclists in a race spend training each week. Nathan surveys every fifth bicyclists crossing the finish line after a race. Jordan surveys the first five bicyclists to finish the race. Which best explains which sample is likely to be the most valid?

Answer:

4[tex]\sqrt{13}[/tex]

4[tex]\sqrt{13}[/tex] + 8

4[tex]\sqrt{13}[/tex] + 16

Step-by-step explanation:

as per the given information:

shorter leg = x

longer leg = x + 8

hypotonuse = x + 8 + 8

remember the Pythagorean theorem, which states

x^2 + y^2 = n^2

where x and y are the legs and n is the hypotenuse

so now one can set up an equation:

x^2 + ( x + 8 )^2 = ( x + 16 ) ^2

simplify and solve using inverse operations:

first preform the square

x^2 + x^2 + 16x + 64 = x^2 + 32x + 256

then preform inverse opertations and simplify

2x^2 + 16x + 64 = x^2 + 32x + 256

-x^2                       -x^2

x^2 + 16x + 64 = 32x + 256

       -16x            -16x

x^2 + 64 = 16x + 256

       - 64             -64

x^2 = 16x + 192

-16x     -16x

x^2 - 16 = 192

x^2 -4^2 = 192

remember the differnt ways of writing a special square

(x - 4) (x + 4) = 192

x = 4[tex]\sqrt{13}[/tex]

now add 8 to find the longer leg

4[tex]\sqrt{13}[/tex] + 8

an add another 8 to find the hypotenuse

4[tex]\sqrt{13}[/tex] + 8 + 8

4[tex]\sqrt{13}[/tex] + 16

Answer:

65

Step-by-step explanation:

A=hbb

2=13·10

2=65

Answer:

a) by finding the incentre

b) 5 km

Step-by-step explanation:

Let the communities A, B and C be shown by the three points of the triangle as shown in the figure below. As the angle between the path Ab and Ac is 45 degrees this is an isosceles triangle having two angles equal. As this is an isosceles triangle it must also have two sides equal .

a) the in center   point can be used to  have equal distance to the path linking each communities.

We take a compass and draw arcs on the two sides of the vertex and placing the compass on the arcs bisect each angle made by the triangles arms.

Joining the bisectors the lines meet at a point which is highlighted by a circle in the diagram.

This is the incentre which is equidistant from each vertex.

b) Using Pythagorus theorem

c² = a² + b²

7²= 5² + b²

b²= 24

b= 4.89= 5 km

The path between B and C is also 5 km.

Answer:

f = 3

Step-by-step explanation:

8 = 2f + 2

-2         -2

6 = 2f

/2    /2

3 = f

Answer:

yes

Step-by-step explanation:

Answer:

YES, THE GREASTEST COMMON FACTOR IS 7

Step-by-step explanation:

42 = 2 X 3 X 7

154 = 2 X 7 X 11

Answer:

$1.30

Step-by-step explanation

yup its 100% sure

can u  brainliest i really need it

:) <3

Answer:

C

Step-by-step explanation:

Mathematically, the volume of a cube of side L is given as;

V = L^3

Now, given V and we want to find L, what we shall simply do is to find the cube root of both sides

By finding the cube roots of both sides, we can easily get the value of the side of the cube in question

Answer:

Neither ordered pair is a solution.

Step-by-step explanation:

If we substitute an ordered pair which is the correct solution, we will obtain the value at the right hand side of the equation.

Now let us try it;

Substitute (3,-8)

3(3)-(-8)/4 = 9 +8/4 =17/4

Again;

3(4) - 4/4 = 8/4 =2

Hence, none of the ordered pairs is a solution.

iinstall microsoft math and do you task

Answer:

y = -2x+4

Exp:

Slope (m) =

ΔY

ΔX

=

-2

1

= -2

θ =

arctan( ΔY ) + 360°

ΔX

= 296.56505117708°

ΔX = 2 – 1 = 1

ΔY = 0 – 2 = -2

Distance (d) = √ΔX2 + ΔY2 = √5 = 2.2360679774998

Equation of the line:

y = -2x + 4

When x=0, y = 4

When y=0, x = 2

Answer:

x=-11

Step-by-step explanation:

10+8x=-78

minus 10 from both sides

8x= -88

-88/8 = -11

x= -11

Answer:

Your answer is: x = -11

Step-by-step explanation:

Hope this helped : )

Answer:

x=250

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

(0, 2 )

Step-by-step explanation:

Given the 2 equations

x = y - 2 → (1)

4x + y = 2 → (2)

Substitute x = y - 2 into (2)

4(y - 2) + y = 2

4y - 8 + y = 2

5y - 8 = 2 ( add 8 to both sides )

5y = 10 ( divide both sides by 5 )

y = 2

Substitute y = 2 into (1) for corresponding value of x

x = 2 - 2 = 0

Solution is (0, 2 )

Answer:

-3 -4

Step-by-step explanation:

Answer:

w=4

Step-by-step explanation:

The surface area of a prism is SA= 2lw+2lh+2hw

We are trying to find out the width if the SA is 240 square inches, length is 12 inches, and the height is 5 inches. Let's plug these numbers into the equation.

240=(2*12*w)+(2*12*5)+(2*5*w)

          24w+120+10w

240= 34w+120

-120           -120

120= 34w

120/34 = 34w/34

w is approximately equal to 3.5 which can be rounded to 4

w=4

Hope this is right! It was confusing at first but I understood it!

Answer:

C

Step-by-step explanation:

-7 squared is -49, -49 plus 49 is 0.

Answer:

35 min

Step-by-step explanation:

given that the total time spent is 140min

and that the time spent reading is x minutes

and also that the time spent doing home work is 2(x+5)

the time spent playing video game is 25

the expression for the total time is given as

total = reading +homework +video game

140=x+2(x+5)+25

solving for x we have

140=x+2x+10+25

140=3x+35

140-35=3x

105=3x

x=105/3

x=35

kenny spent 35 min reading

Time spend for reading is 35 minutes

Given that;

Total number of minutes Kenny have = 140 minutes

Time spend for reading = x

Time spend for homework = 2(x + 5) = 2x + 10

Time spend for games = 25 minutes

Find:

Time spend for reading

Computation:

Total number of minutes Kenny have = Time spend for reading + Time spend for homework + Time spend for games

140 = x + 2x + 10 + 25

3x + 35 = 140

3x = 105

x = 105 / 3

x = 35

So,

Time spend for reading = 35 minutes

Learn more:

https://brainly.com/question/23129403?referrer=searchResults

Answer:

m(x) = 2x^2 - 2x - 24

Step-by-step explanation:

We will use the speed formula for this.

d/t = s

d is distance

t is time

s is speed

since we are looking for a function that gives the distance, we must rewrite

the equation to have d on one side of the equation by itself. We will do this by multiplying both sides by t.

(d/t)t = (s)t

which simplifies to:

d = st

Now we must find out what s and t are.

t: Steve's time riding is 2x hours, and Brian's is 6 more hours, so

Brian's time riding is 2x + 6.

so t = 2x + 6.

s: Steve's speed is x mph. Brian's is 4 less than that so

s = x - 4.

Now we can plug in what we know the the formula we made: d=st

d = (2x + 6)(x-4)

now we can FOIL.

(2x)(x)= 2x^2

(2x)(-4)= -8x

(6)(x) = 6x

(6)(-4) = -24

d = 2x^2 - 8x + 6x - 24

simplify:

Answer: d = 2x^2 -2x - 24

p.s. This was my first time answering a question on Brainly, sorry if it

was not explained well. Let me know if you have questions.

Answer:

Step-by-step explanation:

First you will divide I-2xI on both sides that should look like this:

       -2x/-2 = 10/-2

when you divide it your -2‘s should cancel out and you should be left with

         -x=10/-2

when You divide 10/-2 you should get -5

         10/-2= -5

your answer should look like this then

         -x=-5

-5 is just one of your answers the other is 5

To get rid of the negative on the -X you have to didvide it by both sides

        -x/-x=-5/-x

your answer should be

          X= 5

your final answers are

      -5 or 5

The value of x is "5".

[tex]|-2x|=10[/tex]

x=?

[tex]\to |-2x|=10\\\\\to 2x=10\\\\\to x=\frac{10}{2}\\\\\to x= 5[/tex]

Therefore, the final answer is "5".

Learn more about the equation here:

brainly.com/question/18681264

Answer:

you good my guy

Step-by-step explanation:

Answer:

that will be A

Step-by-step explanation:

Answer:

I think total area=36

Step-by-step explanation:

By finding ar. of all 4 triangles separately by the formula 1/2×base×height

Answer:

B

Step-by-step explanation:

hope this helps

Answer:

B.

Step-by-step explanation:

Answer:

AC = DE

Step-by-step explanation:

Answer:x > 1/5

Step-by-step explanation: