The map shows the locations of 11 shelters along the Appalachian Trail. The distances (in miles) between these
shelters are 0.1, 14.3,5.3, 1.8, 14, 8.8, 8.8, 16.7, 6.3, and 3.3.
a. Find the mean, median, and mode of the distances.
b. A hiker starts at Shelter 2 and hikes to Shelter 11. How
does this affect the mean, median, and mode? Explain.

The possible rational roots are (a) ±3, (b) ±1, (e) ±5

The polynomial function is given as:

f(x) = 5x^2 - 3x + 3

Take the factors of the first term and the last term

5 = 1, 5

3 = 1, 3

The rational root is then calculated using:

Roots =±(Factors of 3)/(Factors of 5)

This gives

Roots =±(1, 3)/(1, 5)

Solve the expression

Roots = ±1, ±3/5, ±1/5, ±3

Hence, the possible rational roots are (a) ±3, (b) ±1, (e) ±5

Read more about rational roots at:

https://brainly.com/question/17754398

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Answer:

Given  

F ( x ) = 3 x 2 + 1 , to find  F ( − 2 ) , we have to just put

x = − 2  in the formula for  F ( x ) .

therefore , F ( − 2 ) = 3 ( − 2 ) 2 + 1 = 3 ( 4 ) + 1 = 13  .

Answer:

x=4

Step-by-step explanation:

since its a square, the diagonals cut the right angle in half, so 45

6x - 21 = 45

6x = 24

x=4

Answer:

24

Step-by-step explanation:

Answer:

d would be correct

Step-by-step explanation:

A pyramid is a polyhedron formed by connecting a polygonal base and an a a p e x. The basic formula for pyramid volume is the same as for a cone: volume = (1/3) times  base area times height, where height is the height from the base to the a p e x. That formula is working for any type of base polygon and oblique and right pyramids.

Answer:

The number is - 9.

Step-by-step explanation:

(y ÷ 9) - 1 = - 2

(y ÷ 9) - 1 + 1 = - 2 + 1

y ÷ 9 = - 1

y ÷ 9 × 9 = - 1 × 9

y = - 9

Answer:

Solution given:

area of semi circle h=½πr²=½×π×5²=39.27in²

area of rectangle EFHI=l×b=6×3=18in²

area of rectangle CDFG=l×b=17×2=34in²

Total area: 39.27+18+34=91.27 square inches

Area of upper right rectangle

Area of top rectangle(square actually)

Area of bottom rectangle

Area of semicircle

Area of middle rectangle

Total

Answer:

(2x+5x)-6=50

          7x =56

              x=8

5>2, so 5 is the bigger one

5*8=40

the answer is 40

Answer:

44% cahnce

Step-by-step explanation:

To solve this, add up all the customers. Then, divide the amount of debit card customers, by the total amount of customers. This will give you percentage of people who paid in debit, which is also the probability:

20+26+13

=

59

This is the amount of customers. Now we divide:

26/59

=

0.4406

Remember that to create percentage, you must multiply the decimal by 100:

0.4406*100

=

44.06%

The .06 is so small that it doesnt need to be kept in this percentage:

44%

So this is you answer!

Hope it helps! :)

Answer:

Step-by-step explanation:

3+3=6

answer overall is 28

the answer is obtuse

Step-by-step explanation:

mark me as a brainliest

Answer:

yawwwwwwnnn......,....done

Answer:

(-4,3)

Step-by-step explanation:

I used photo math

Answer:

7

Step-by-step explanation

i did this

Answer:

The answer is 3

Step-by-step explanation:

Answer:

1) P(none are red) = 51.2%

2) P(third one is the first one that is yellow) = 12.8%

Step-by-step explanation:

We are given;

P(Yellow) = 20% = 0.2

P(red) = 20% = 0.2

P(Orange) = 10% = 0.1

P(Blue) = 10% = 0.1

P(green) = 10% = 0.1

P(brown) = 30% = 0.3

1) Probability that one is not red is;

P(one not red) = 1 - P(red)

P(one not red) = 1 - 0.2

P(one not red) = 0.8

Since 3 are selected, we will apply multiplication rule for independent events to get;

P(none are red) = 0.8 × 0.8 × 0.8

P(none are red) = 0.512

P(none are red) = 51.2%

2) To find the probability, that the third one is the first one that is yellow, we will use multiplication rule for independent events to get;

P(third one is the first one that is yellow)

= (1 - P(Yellow)) × (1 - P(Yellow)) × P(Yellow)

P(third one is the first one that is yellow) = (1 - 0.2) × (1 - 0.2) × 0.2

P(third one is the first one that is yellow) = 0.128

P(third one is the first one that is yellow) = 12.8%

Answer:

It is an isosceles  triangle.

Step-by-step explanation:

sum of angles of triangle = 180

since it is isosceles two angles will be same. let it be x.

x + x + 22 = 180

2x = 180 - 22

2x = 158

x = 79°

Answer:

Hello I am here to help!!

Step-by-step explanation:

The answer is 47

It's written as 47! <3

Answer:

Quedan 511 páginas por leer en la tercera semana.

Step-by-step explanation:

Si el libro tiene 1267 y debe leerse en 3 semanas, se ha leído 189 páginas en la primera semana y 567 páginas en la segunda semana, es decir, el triple del número de páginas leídas en la semana anterior, la cantidad de páginas por leer para la tercera se determina mediante la siguiente sustracción:

[tex]x = 1267 - 189 - 567[/tex]

[tex]x = 511[/tex]

Quedan 511 páginas por leer en la tercera semana.

Answer:

85is the correct answer

Answer:

70 degrees

Step-by-step explanation:

Answer:

Angle 1 is 70

Step-by-step explanation:

Because (angle 1 + 31=101) so 101-31= 70

Answer:

5,004,300

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Since [tex]AB \neq BC \neq AC[/tex] and [tex]\cos B = 0[/tex], we conclude that given triangle is a right-angled and scalene.

Step-by-step explanation:

First, we determine the lengths of sides [tex]AB[/tex], [tex]BC[/tex] and [tex]AC[/tex] by the Equation of the Line Segment, which is based on the Pythagorean Theorem:

Line segment AB

[tex]AB = \sqrt{(4-1)^{2}+ (4-1)^{2}}[/tex]

[tex]AB = 3\sqrt{2}[/tex]

Line segment BC

[tex]BC = \sqrt{(6-4)^{2}+(2-4)^{2}}[/tex]

[tex]BC = 2\sqrt{2}[/tex]

Line segment AC

[tex]AC = \sqrt{(6-1)^{2}+(2-1)^{2}}[/tex]

[tex]AC = \sqrt{26}[/tex]

And the angles are found by means of the Law of Cosine:, where acute angles exist when [tex]0 < \cos \theta < 1[/tex], whereas obtuse angles exist for [tex]-1 < \cos \theta < 0[/tex].

Angle A

[tex]BC^{2} = AB^{2} + AC^{2} - 2\cdot AB\cdot AC \cdot \cos A[/tex] (1)

[tex]\cos A = \frac{BC^{2}-AB^{2}-AC^{2}}{-2\cdot AB\cdot AC}[/tex]

[tex]\cos A = \frac{8-18-26}{-2\dot (3\sqrt{2})\cdot (\sqrt{26})}[/tex]

[tex]\cos A = 0.832[/tex]

Angle B

[tex]AC^{2} = AB^{2} + BC^{2} - 2\cdot AB\cdot BC\cdot \cos B[/tex] (2)

[tex]\cos B = \frac{AC^{2}-AB^{2}-BC^{2}}{-2\cdot AB\cdot BC}[/tex]

[tex]\cos B = \frac{26-18-8}{-2\cdot (3\sqrt{2})\cdot (2\sqrt{2})}[/tex]

[tex]\cos B = 0[/tex]

Angle C

[tex]AB^{2} = AC^{2}+BC^{2}-2\cdot AC\cdot BC\cdot \cos C[/tex] (3)

[tex]\cos C = \frac{AB^{2}-AC^{2}-BC^{2}}{-2\cdot AC\cdot BC}[/tex]

[tex]\cos C = \frac{18 -26-8}{-2\cdot (\sqrt{26})\cdot (2\sqrt{2})}[/tex]

[tex]\cos C = 0.555[/tex]

Since [tex]AB \neq BC \neq AC[/tex] and [tex]\cos B = 0[/tex], we conclude that given triangle is a right-angled and scalene.

Answer:

14% and 1/7

Step-by-step explanation:

Answer:

A.) Y= -4x + 6

Step-by-step explanation:

Answer:  Y=48

Y is 4 times more than x. If x=12, y=48. Notice in the first part of the question, if you divide 64 by 4, you get 16. This means in order to get your answer, you must mulitiply x by 4 to get y. 12x4=48.

Brainliest please?

                                         XxRoadToAcexX

Answer:

10

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

Let the third side be x , then

x² + 6² = (2[tex]\sqrt{34}[/tex] )²

x² + 36 = 136 ( subtract 36 from both sides )

x² = 100 ( take the square root of both sides )

x = [tex]\sqrt{100}[/tex] = 10

Complete Question

A bag contains 8 apples and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?

Answer:

Step-by-step explanation:

Answer:

a) 40 sides

b) 6840

c) 9 gegrees

Step-by-step explanation:

interior angle= (n-2)180

n

[tex] (n - 2)180 \div n = 171 \\ 180n - 360 = 171n \\ 180n - 171n = 360 \\ 9n = 360 \\ n = 360 \div 9 = 40 \\ [/tex]

so total number of sides is 40

b) Sum of interior angles= (n-2)×180

(40-2)×180

38×180

6840

c) Exterior angle = 360 ÷ n

360÷40 =9 degree

Answer:

∠BCD=95°

Step-by-step explanation:

∠B+∠D=127+43=170

360-170=190

∠A=∠C

∠A+∠C=190

∠C+∠C=190

∠C=190/2=95°