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Artist 52 [7]
2 years ago
11

This pencil cup is made out of plastic. It is 5 inches tall and has a radius of 1.75 inches. How many square inches of plastic w

ere used to make the cup
Mathematics
1 answer:
Dmitry [639]2 years ago
3 0

Answer:

To make the cup 64.57 square inches of plastic were used.

Step-by-step explanation:

A cup has the format of a cylinder with a open top. The surface area of the cup is given by the area of it's base (a circle) and the area of it's walls, wich can be seen as rectangle where the width is the length of the circle at the base and the height is the height of the cylinder. So we have:

area of the base = pi*r^2 = 3.14*(1.75)^2 = 3.14*3.0625 = 9.616 square inches

area of the walls = 2*pi*r*h = 2*3.14*(1.75)*5 = 54.95 square inches

surface area of the cup = area of the base + area of the walls = 9.616 + 54.95

surface area of the cup = 64.57 square inches

To make the cup 64.57 square inches of plastic were used.

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A lightbulb is installed. With probability 1/3 , it burns out immediately when it is first installed. With probability 2/3 , it
Andrej [43]

Answer:

1 time unit

Step-by-step explanation:

There is a 1 in 3 chance that the time until the bulb burns out is zero, and a 2 in 3 chance that the time is the average between 0 and 3 (since it is uniformly distributed). Therefore, the expected value for the time until it burns is:

E(x) = \frac{1}{3}*0+\frac{2}{3} *\frac{0+3}{2}\\ E(X) = 1

The expected value of the time until the lightbulb burns out is 1 time unit.

3 0
2 years ago
What is the percentage decrease, if the price of a shirt is reduced from 800rupees to 640rupees?
MissTica
Decrease = Rs 800- Rs 640= Rs 160
Percentage decrease = (Decreased amount / Original amount) * 100
= 640/ 800 * 100 = 80%
4 0
2 years ago
Read 2 more answers
Select two ratios that are equivalent to 6:106:106, colon, 10. Choose 2 answers: Choose 2 answers: (Choice A) A 20:1220:1220, co
Eva8 [605]

Answer:

C. 3 : 5

D. 24 : 40

Step-by-step explanation:

Select two ratios equivalent to 6 : 10

Checking all options

A. 20 : 12

20 / 12

= 10 /6

= 10 : 6

B. 32 : 50

= 32 / 50

= 16 / 25

C. 3 : 5

3 / 5

= 6 / 10

3/5 is equivalent to 6 / 10

D. 24 : 40

24 / 40 = 12 / 20

= 6 / 10

= 6 : 10

Options C and D are correct

5 0
2 years ago
A professor wants to determine information about the Internet usage of middle school students in one state. A sample of 500 boys
zlopas [31]
The answer is A because a sample of 500 boys and girls from middle schools across the state represents the population.
4 0
2 years ago
Read 2 more answers
The most popular mathematician in the world is throwing aparty for all of his friends. As a way to kick things off, they decidet
ratelena [41]

Answer:

The no. of possible handshakes takes place are 45.

Step-by-step explanation:

Given : There are 10 people in the party .

To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?

Solution:

We are given that there are 10 people in the party

No. of people involved in one handshake = 2

To find the no. of possible handshakes between 10 people we will use combination over here

Formula : ^nC_r=\frac{n!}{r!(n-r)!}

n = 10

r= 2

Substitute the values in the formula

^{10}C_{2}=\frac{10!}{2!(10-2)!}

^{10}C_{2}=\frac{10!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 \times 8!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 }{2 \times 1}

^{10}C_{2}=45

No. of possible handshakes are 45

Hence The no. of possible handshakes takes place are 45.

4 0
2 years ago
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