Find the range of the data in the box plot below.​

Answer:

Part A:

Formula for circumference: C = diameter x pi

=> pi = C/diameter

=> pi(A) = 12.56/4 =3.14

=> pi(B) = 6.28/2 = 3.14

Part B:

Formula for area: A = radius^2 x pi = (diameter/2)^2 x pi

=> pi = A/(diameter/2)^2

=> pi(A) = 12.56/(4/2)^2 = 12.56/4 = 3.14

=> pi(B) = 3.14/(2/2)^2 = 3.14/1 = 3.14

Part C:

pi(A) = pi(B) = 3.14 in both ways of calculation derived from circumstance and area.

=> pi is a constant value: 3.14

Answer:

A) pi = 3.14

B) pi = 3.14

C) pi has the same value for all calculations, pi is a constant

Step-by-step explanation:

Circumference = pi × d

12.56 = 4 × pi

pi = 3.14

6.28 = 2 × pi

pi = 3.14

Area = pi × r²

12.56 = pi × (4/2)²

12.56 = 4pi

pi = 3.14

3.14 = pi × (2/2)²

3.14 = pi

526.36 rounded will be =

= 530

Answer:

1 / 1296

Step-by-step explanation:

Rolling a 1 for one of the cubes is 1 / 6

1 / 6 * 1 / 6 * 1 / 6 * 1 / 6 = 1 / 1296

Answer:

1 / 1296

Step-by-step explanation:

We have been given that three cubes are being rolled and we are required to find the probability of getting 4 on 1 cubes.

We know the probability of rolling a 4 on one cube will be .  the probability of rolling 4 in each of the individual cubes will be .

But we want 4 to be rolled on 1 cubes at once, in order for that to happen, we need to get a four on first cube AND second cube AND third cube. Since there is AND between the events, we will multiplied their probabilities as per counting principle. Thus, the required probability of rolling 4 on each of the 1 cube is  which simplifies to . 1 / 1296

Hope this helps

Answer: 292

Step-by-step explanation:

The formula is: [tex]a_n=a_1+(n-1)d[/tex]

Where;

[tex]a_n=[/tex] [tex]n^t^h[/tex] term or the term we're trying to find.

[tex]a_1=[/tex] First term

[tex]d=[/tex] Common difference.

To find the common difference, take [tex]a_2-a_1[/tex], or [tex]a_3-a_2[/tex] or [tex]a_4-a_3[/tex]

4-(-2)=?

4+2=?

6 -> this is our common difference

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

10-4=?

6 -> this is our common difference

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

16-10=?

6 -> this is our common difference

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

Knowing this, we plug into the formula the number we're trying to find.

[tex]a_n=a_1+(n-1)d\\a_5_0=-2+(50-1)6\\a_5_0=-2+(49)6\\a_5_0=-2+294\\a_5_0=292[/tex]

Answer:

C. 292

Step-by-step explanation:

i don' really get the question but the only 2 mistakes i can spot are:

Munich is in the wrong place and so is Oslo.

explanation:

if you look at the way the other 3 are positioned then you will see

Answer: You could plot the points  (0,-2) ( 1,0) ( 2,2) (3,4) ( 4,6) (5,8) ( -1,-4) (-2.-6)

Step-by-step explanation:

y= 2x - 2

x      y

0    -2

1       0

2      2

3        4

4        6

5          8

-1        -4

-2            -6

Answer:

23 in

Step-by-step explanation:

Convert the stuff they gave you to inches 4*3*2= 23

then use the volume formula

i hope this helped <33

Answer:

Lower quartile=46

Upper Quartile=52

Median=48

Step-by-step explanation:

Look at the three dots on/in the plot the first one is the lower quartile and the middle is the median and the last one in the box plot  (52)is the upper quartile, the ones on the outsides are the minimum and the maximum.

Answer:

5

Step-by-step explanation:

Answer:

my answer was B.

Step-by-step explanation:

I chose C and i got it wrong

Answer:

26 and 31

Step-by-step explanation:

The square root of 26 is between 5 and 6, and so is the square root of 31.

Answer:

65

Step-by-step explanation:

In order to find the area you have to complete a formula for triangles going Area =  1/2 bh ( bh means base time the height height is the 13 and the base is the 10 in the photo.)

Answer:6/11

Step-by-step explanation:

The probability of spinning a 1 and flipping a heads is given by the equation A = 1/10

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of spinning a 1 and flipping a heads be A

Now , the equation will be

The total number of values in the spinner = { 1 , 2 , 3 , 4 , 5 }

So , the number of possible outcomes = 5

The probability of spinning a 1 = 1 / number of possible outcomes

Substituting the values in the equation , we get

The probability of spinning a 1 = 1/5

The number of outcomes for flipping a coin = { heads , tails }

Now , the probability of flipping a head = 1/2

So , the probability of spinning a 1 and flipping a heads A = probability of spinning a 1 x probability of flipping a head

Substituting the values in the equation , we get

The probability of spinning a 1 and flipping a heads A = ( 1/5 ) ( 1/2 )

On simplifying the equation , we get

The probability of spinning a 1 and flipping a heads A = 1/10

The probability of spinning a 1 and flipping a heads A = 0.1

Hence , the probability is 1/10

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ2

Answer:

A ( 1.5, 6 ), B ( 15, 33 ), Slope ⇒ 2

Step-by-step explanation:

We are given the line y - 2x = 3;

For the value 6, let us substitute this value in terms of y such to compute the value of x on the line y - 2x = 3;

6 - 2 * x = 3 ⇒ Subtract 6 on either side,

-2 * x = - 3 ⇒ Divide - 2 on either side of equation

x = 1 and 1 / 2 for y = 6,

Solution; A ( 1.5, 6 )

Now for the value 15, let us substitute this value in terms of x to compute the value of y on the line y = 2x - 3;

y - 2 * ( 15 ) = 3 ⇒ Multiply 15 by 2,

y - 30 = 3 ⇒ Add remaining terms,

y = 33 for x = 15,

Solution; B ( 15, 33 )

To determine the slope of this we could take the formula ( y2 - y1 )/ ( x2 - x1 ) for the two points we have derived or, for simplicity, take a look at the format of the equation;

y - 2x = 3 ⇒ Convert to point slope form, in format y = ax + b, where a ⇒ slope, and b ⇒ y - intercept

y = 2x + 3, ⇒ Solution; Slope ⇒ 2

C. =10x+1

y-intercept is 1 because it is the start up cost. 10 is the factor because it says "$10 a month" The variable x is the months

Answer:

x = 10.6

y = 10.6

Step-by-step explanation:

To answer this question you will need to use trigonometry. If you don't already have an understanding of trigonometry, this will be very hard to explain. please let me know in the comments if you would like me to give it a go.

I hope this was helpful :-)

Answer:

y = 15

x = 30

Step-by-step explanation:

Answer:

y = 15

x = 30

Step-by-step explanation:

Since adjacent are equal, that means all 4 angles are equal to 90 degrees

6y = 90

Divide by 6

6y/6 = 90/6

y = 15

3x = 90

Divide by 3

3x/3 = 90/3

x = 30

Y is equal to -50. (y= -50)

Step-by-step explanation: Solve for y

by simplifying both sides of the equation, then isolating the variable.y=−50

Answer:

15

Step-by-step explanation:

800/8 = 100

sooo.......

120/8 = 15

15/100

hope this helps ! :)

Answer: 118 feet

Step-by-step explanation:

For a rectangular shape: Area = W × L

450 = 9 × L

450 ÷ 9

L = 50

Perimeter of a rectangular shape = 2L + 2W

Perimeter = (2 × 50) + (2 × 9)

= 100 + 18 = 118 feet

Answer:825

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

[tex] In\: \triangle ABC \:\&\: \triangle EDC\\

\angle ABC \cong \angle EDC... (Right \: \angle s) \\

\angle ACB \cong \angle ECD... (Vertical \: \angle s) \\\therefore \triangle ABC \sim \triangle EDC... (By\: AA\: Postulate) \\[/tex]

Answer:

D

Step-by-step explanation:

A linear function has a constant slope. Meaning that for any equal change in x, there will be an equal change in y.

Answer:

2,493.796 => 2493.8

Step-by-step explanation:

Answer:

2,492.5 mm^2

Step-by-step explanation:

The formula to find the Surface area is 2 pi r^2 + 2 pi r x h

So, 2 pi 14.7^2 + 2 pi 14.7 x 12.3

2 pi 216.09 + 2 pi 180.81

2 x 678.5226 + 2 x 567.7434‬

1,357.0452 + 1,135.4868

2,492.532‬

The surface area of this cylinder is 2,492.5 mm^2

Answer:

1. Arc angle

2. Angle at circumference

3. Base angle of an isosceles triangle

4. Sum interior of angles in a triangle

5. Sum interior of angles in a triangle

6. The sum of angles on a straight line

7. Sum interior of angles in a triangle

8. Sum interior of angles in a triangle

9. Angle from a tangent to the radius of a circle

10. Alternate angles of line crossing two parallel lines

Step-by-step explanation:

Here, we note that, the angles where derived as follows;

1. mBC = 90°, therefore, angle subtended by the arc BC at the center of the circle = 1 = 90°

2. 90° The angle at the center which is the straight line diameter with angle 180° = 2 × angle at the circumference

∴ The angle at the circumference, angle 2 = 180°/2 = 90°

3.  Angle subtended by the sum of arcs CD + DE at the center = 50°, therefore, ∡EOC = 50° and ∡EOA = 180° - 50° = 130° (the sum of angles on a straight line), since ΔAOE is an isosceles triangle, therefore, ∡OAE = ∡OEA = (180° - 130°)/2 = 25°

4. ∡A + ∡E + ∡C = 180° (Sum interior of angles in a triangle)

∴ 25° + 90° + ∡C = 180°

Hence ∡C = 180° - (90° + 25°) = 65°

5. From arc CD = 30°, ∡COD = 30°, ∴ ∡OBD = 30° = base angle of isosceles triangle with sides equal to the radius

Hence ∡8 = 30° from ∡8 + ∡1 + ∡OBD = 180° which gives

∡8 + 90° + 30° = 180°, hence;

∡8 = 180° - (90° + 30°) = 60°

∡8 = opposite ∡8 = 60°

Opposite ∡8 + ∡C + ∡5 = 180° (Sum interior of angles in a triangle)

Therefore ∡5  = 180° - (opposite ∡8 + ∡C) = 180° - (60° + 65°) = 55°

6. Angles 6 plus angle 5 = 180° (The sum of angles on a straight line)

Therefore, ∡6 = 180° - ∡5 = 180° - 55° = 125°

7. ∡7 + opposite ∡5 + ∡E = 180° (Sum interior of angles in a triangle)

∡E + ∡2 = 180° (The sum of angles on a straight line)

∴ ∡E = 180° - ∡2 = 180° - 90° = 90°

Hence, ∡7 + opposite ∡5 + ∡E = 180° = ∡7 + 55° + 90° = 180°

∴ ∡7 = 35°

8. ∡8 = 60° as found above

9. ∡9 = 90° (Angle from a tangent to the radius of a circle)

10. ∡10 = ∡8 = 60° (Alternate angles).

Answer:

1/5

Step-by-step explanation:

the 5 is the total number of times he tried

the 1 is how many times he rolled a 1

Answer:

Step-by-step explanation:

5n + 5 = 45

Coefficient of n = 5

Constant =  5  & 45

Answer:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y)

Coefficient of n = 5

In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.

Constant =  5  & 45

Answer: Bristol's heart rate reaches a maximum of 120

bpm

Step-by-step explanation:

Answer:

Bristol's heart rate reaches a maximum of 120 bpm

At the end of yoga class, Bristol's heart rate returned to her resting heart rate

The graph that models Bristol's heart rate is a parabola

Step-by-step explanation: