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3 years ago

If you spin the spinner 400 times, how many times can you expect it to land on an even number?

Mathematics

2 answers:

TiliK225 [7]3 years ago

3 0

2/8 Hdhdjdjsksjsjsjsjsjsjsnsjsjjsksjsjsjs

ololo11 [35]3 years ago

3 0

Answer:

You would expect the arrow to land on an even number about 25% of the time.

Step-by-step explanation:

In the sector labeled 1 you would expect it to land on it 50% of the time because that sector takes up 50% of the spinner. For the rest of the sectors, you would take to the remaining 50% and divide it by four for the four other sectors on the spinner. 50 ÷ 4 = 12.5 Then you would take the number of even numbers there are on the spinner, which is two in the case, and add those percentages together. 12.5 + 12.5 = 25

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A hollow ball is made of rubber that is 2 centimeters thick. The ball has a radius to the outside surface of 6 centimeters.

saveliy_v [14]

Answer:

The approximate volume of rubber used to make the ball is 636.4 cm³ ⇒ 3rd answer

Step-by-step explanation:

The formula of the volume of a sphere is V = $\frac{4}{3}$ π r³, where r is its radius

∵ The hollow ball is shaped a sphere

∵ The ball has a radius to the outside surface of 6 centimeters

∴ The outer radius = 6 centimeters

∵ The ball is made of rubber that is 2 centimeters thick

∴ The thickness of the rubber = 2 centimeters

- The difference between the outside radius and the inside

radius is equal to the thickness of the rubber

∴ The inner radius = 6 - 2 = 4 centimeters

The volume of the rubber = the outer volume - the inner volume

Lets calculate the outer and inner volumes

∵ V = $\frac{4}{3}$ π r³

∴ V(inner) = $\frac{4}{3}$ (3.14)(4)³

∴ V(inner) = 267.95 cm³

∴ V(outer) = $\frac{4}{3}$ (3.14)(6)³

∴ V(outer) = 904.32 cm³

- By using the rule above find the volume of the rubber

∵ The volume of the rubber = 904.32 - 267.95

∴ The volume of the rubber = 636.37 cm³

- Round it to the nearest tenth

∴ The volume of the rubber = 636.4 cm³

The approximate volume of rubber used to make the ball is 636.4 cm³

5 0

3 years ago

A tire company has plants in Chicago and Detroit. The Chicago plant can make 600 radial and 100 standard tires per day. The Detr

melomori [17]

Answer:

To minimize the cost, the Chicago plant should run 30 days and the Detroit plant should run 20 days.

Step-by-step explanation:

This is a linear programming question, in which there is a function to optimize (minimize cost) and restrictions, all linear functions.

The objective function is Cost:

$C=4000H+3000D$

C: cost function

H: days of operation for Chicago plant

D: days of operation for Detroit plant

The restrictions are:

- Minimum requirements for radial tires:

$600*H+300*D\geq24,000$

- Minimum requirements for standard tires:

$100*H+100*D\geq5,000$

- Days are positive integers

$H,D\geq0$

We have 3 points in which 2 of the constraints are saturated. In one of this three points is the minimum cost.

We will evaluate them to find the minimum cost:

Point 1: H=0, D=80

$C=4,000*H+3,000*D\\\\C=4,000*0+3,000*80=240,000$

Point 2: H=50, D=0

$C=4,000*H+3,000*D\\\\C=4,000*50+3,000*0=200,000$

Point 3: H=30, D=20

$C=4,000*H+3,000*D\\\\C=4,000*30+3,000*20=120,000+60,000=180,000$

The third point minimizes the cost.

To minimize the cost, the Chicago plant should run 30 days and the Detroit plant should run 20 days.

4 0

3 years ago

Read 2 more answers

561 rounded to the nearest hundred

insens350 [35]

561 rounded to the nearest hundred is 600

4 0

4 years ago

Solve for x, if m<2 = 2+6x

Katarina [22]

71+71=142
180-142=38
2+6x=38
6x=36
x=6

6 0

3 years ago

Read 2 more answers

9) What is the area of a square with a side length of 120 cm?

mart [117]

Area of square = Side × Side

Side of square is 120 Cm.

⇛Area = 120 cm × 120 cm

⇛Area = 14400 cm²

Hence , the area of square is 14400 cm²

8 0

3 years ago

Read 2 more answers