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Naddik [55]
3 years ago
8

Which line , or solid , is the best line of best fit ? What evidence can you provide to prove this is the best line of best fit

?

Mathematics
1 answer:
castortr0y [4]3 years ago
4 0
The dotted line best fits
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Find the area of the circle with a circumference of
Anton [14]

Answer:

706.50 mm^2

Step-by-step explanation:

The formula to find the circumference is 2πr (r : radius)

if the circumference is 30π the the radius is = 15

to find the area we use the following formula :

π*r^2

r = 15 and π is given as 3.14

(3.14)*15^2 = 706.50 mm^2

8 0
2 years ago
a positive number is 7 times another number if 3 is added to both the numbers then one of the new number becomes 5 by 2 times th
Neko [114]

Answer:

7 and 1

Step-by-step explanation:

Let the numbers be a and b.

<u>A positive number is 7 times another number:</u>

  • a = 7b

<u>If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:</u>

  • a+3 = 5/2 × (b +3)

<u>To solve this we substitute </u><u>a</u><u> with </u><u>7b</u><u> in the second equation:</u>

  • 7b + 3 = 5/2 × (b +3)               ⇒ multiplying both sides by 2
  • 14b + 6 = 5b + 15                    ⇒ collecting like terms
  • 14b - 5b = 15 - 6
  • 9b = 9
  • b = 1                                        ⇒ solved for b

<u>Then, finding a:</u>

  • a= 7b
  • a=7*1
  • a= 7                                        ⇒ solved for a

<u>So the numbers are</u> 7 and 1

3 0
3 years ago
Jakes batting average for softball season is 0.368 what is Jake’s batting average written in expanded form
alukav5142 [94]

Here you go the answers below

4 0
3 years ago
Solution of the equation<br> 3x/5+1=4x/15+7
Anika [276]

Answer:

x = 18

Step-by-step explanation:

Given

\frac{3x}{5} + 1 = \frac{4x}{15} + 7 ( subtract 1 from both sides )

\frac{3x}{5} = \frac{4x}{15} + 6

Multiply through by 15 to clear the fractions

9x = 4x + 90 ( subtract 4x from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

4 0
3 years ago
The sphere is _____ cubic centimeters bigger than the cube. (Round to the nearest cubic centimeter.)
Misha Larkins [42]

ANSWER

The sphere is 10762 cubic centimeters bigger than the cube.

EXPLANATION

We want to find the difference in the volumes of the sphere and the cube.

To do this, we have to find the volumes of the sphere and cube and subtract that of the cube from the sphere.

The volume of a sphere is given as:

V=\frac{4}{3}\pi r^3

where r = radius

The radius of the sphere is 15 centimeters. Therefore, the volume of the sphere is:

\begin{gathered} V=\frac{4}{3}\cdot\pi\cdot15^3 \\ V\approx14137\operatorname{cm}^3 \end{gathered}

The volume of a cube is given as:

V=s^3

where s = length of the side

The length of the side of the cube is 15 centimeters. Therefore, the volume of the cube is:

\begin{gathered} V=15^3 \\ V=3375\operatorname{cm}^3 \end{gathered}

Therefore, the difference in the volumes of the sphere and cube is:

\begin{gathered} V_d=V_s-V_c \\ V_d=14137-3375 \\ V_d=10762\operatorname{cm}^3 \end{gathered}

Therefore, the sphere is 10762 cubic centimeters bigger than the cube.

6 0
1 year ago
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