answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eva8 [605]
2 years ago
7

the volume of a sphere whose diameter is 18 centimeters is 246 324 648 972 π cubic centimeters. if its diameter were reduced by

half, its volume would be 1/2 1/4 1/6 1/8 of its original volume.
Mathematics
1 answer:
Hatshy [7]2 years ago
4 0
Radius of sphere = 18/2 = 9 cm

Volume of sphere = 4/3 πr^3 = 4/3 x π x (9)^3 = 972 π cubic cm

If the diameter is reduced by half, then
Volume = 4/3 x π x (9/2)^3 = 4/3 x π x (9)^3 x (1/2)^3 = 1/8(972)

Therefore, new volume is 1/8 of original volume.
You might be interested in
In 2003, the Accreditation Council for Graduate Medical Education (ACGME) implemented new rules limiting work hours for all resi
Alborosie

Answer:

80.67 hours

Step-by-step explanation:

Data provided in the question:

The number of weekly hours worked :

78 85 82 79 77 82 81 82 81 81 82 78

total number of observations = 12

Now,

Mean = (Sum of all the data values) ÷ (Total number of data values)

or

Mean = ( 78 + 85 + 82 + 79 + 77 + 82 + 81 + 82 + 81 + 81 + 82 + 78 ) ÷ 12

or

Mean = 968 ÷ 12

or Mean = 80.67 hours

8 0
2 years ago
Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed,
seropon [69]

Answer and Step-by-step explanation:

Data provided in the question

Mean = 1.1 hours per call =

R = Mean rate = 1.6 per eight hour day

\mu = \frac{8}{1.6} = 5 per day

Based on the above information

a. The average number of customers is

= \frac{R^2}{\mu(\mu- R)}

= \frac{1.6^2}{5(5- 1.6)}

= 151

b. The system utilization is

= \frac{R}{\mu}

= \frac{1.6}{5}

= 0.32

c. The amount of time required is

= 1 - system utilization

= 1 - 0.32

= 0.68

And, there is 8 hours per day

So, it would be

= 0.68 \times 8

= 5.44 hours

d. Now the probability of two or more customers is

= 1 - (0.68 + 0.68 \times 0.32)

= 0.1024

Therefore we simply applied the above formulas

4 0
2 years ago
A rectangular room has a width of 5 yards and length of 6 yards. How many square-feet carpet will be required for carpeting the
Sindrei [870]

Answer:

Option B 270\ ft^{2}

Step-by-step explanation:

we know that

The area of the rectangle room, is equal to

A=LW

where

L is the length

W is the width

we have

L=6\ yd

W=5\ yd

Remember that

1 yard= 3 feet

Convert yards to feet

L=6*3=18\ ft

W=5*3=15\ ft

The area is equal to

A=(18)(15)=270\ ft^{2}

4 0
2 years ago
Suppose that a new company has five employees: Zamora, Agraharam, Smith, Chou, and Macintyre. Each employee will assume one of s
Sliva [168]

Answer:

Step-by-step explanation:

Before constructing bipartite graph, we need to have the responsibilities of each person sorted out first. I listed it in dash form for easy reading

Zamora

- planning,

- sales, marketing

- industry relations

Agraharam:

- planning

- development

Smith

- publicity,

- sales,

- industry relations

Chou

- planning,

- sales,

- industry relations

Macintyre

- planning,

- publicity,

- sales,

- industry relations

After we are done with that, we can start constructing the bipartite graph by making two column or two rows of group, one is for the person and the other is for responsibilities.

Later, we start match up each person to the responsibilities that assigned to them.

I attached the bipartite graph for this question as well.

3 0
2 years ago
Read 2 more answers
An urn contains two blue balls (denoted B1 and B2) and three white balls (denoted W1, W2, and W3). One ball is drawn, its color
alekssr [168]

Answer:

(a) Shown below.

(b) The probability that the first ball drawn is blue is 0.40.

(c) The probability that only white balls are drawn is 0.36.

Step-by-step explanation:

The balls in the urn are as follows:

Blue balls: B₁ and B₂

White balls: W₁, W₂ and W₃

It is provided that two balls are drawn from the urn, with replacement, and their color is recorded.

(a)

The possible outcomes of selecting two balls are as follows:

B₁B₁          B₂B₁          W₁B₁          W₂B₁          W₃B₁

B₁B₂         B₂B₂          W₁B₂         W₂B₂          W₃B₂

B₁W₁         B₂W₁         W₁W₁         W₂W₁         W₃W₁

B₁W₂        B₂W₂         W₁W₂        W₂W₂         W₃W₂

B₁W₃        B₂W₃         W₁W₃        W₂W₃         W₃W₃

There are a total of N = 25 possible outcomes.

(b)

The sample space for selecting a blue ball first is:

S = {B₁B₁, B₁B₂, B₁W₁, B₁W₂, B₁W₃, B₂B₁, B₂B₂, B₂W₁, B₂W₂, B₂W₃}

n (S) = 10

Compute the probability that the first ball drawn is blue as follows:

P(\text{First ball is Blue})=\frac{n(S)}{N}=\frac{10}{25}=0.40

Thus, the probability that the first ball drawn is blue is 0.40.

(c)

The sample space for selecting only white balls is:

X = {W₁W₁, W₂W₁, W₃W₁, W₁W₂, W₂W₂, W₃W₂, W₁W₃, W₂W₃, W₃W₃}

n (X) = 9

Compute the probability that only white balls are drawn as follows:

P(\text{Only White balls})=\frac{n(X)}{N}=\frac{9}{25}=0.36

Thus, the probability that only white balls are drawn is 0.36.

4 0
2 years ago
Other questions:
  • Is a right triangle. If AC = 15 and BC = 17, find AB.
    7·2 answers
  • If JM = 5x – 8 and LM = 2x – 6, which expression represents JL? 3x – 2 3x – 14 7x – 2 7x – 14
    10·2 answers
  • Varia is studying abroad in Europe. She is required pay $3,500 (in US dollars) per year to the university, however, she must pay
    14·1 answer
  • Name two ways you might see decimals used outside of school
    7·1 answer
  • A chef uses a recipe with the following ingredients. Then the chef decides to make more than 1 batch of the recipe. Fruit Cups U
    10·2 answers
  • A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first
    5·1 answer
  • 5. Margaret deposits $1,000 in a savings account that pays 5.4% interest compounded
    12·1 answer
  • Mr. Bray prepares a list of 43 US presidents, 8 of whom died in office. Then 18 of his students each select a
    14·2 answers
  • 8. You realize that, despite what you expected, the soda actually tastes different depending on which flavor you choose first, s
    11·1 answer
  • A person invests 6500 dollars in a bank. The bank pays 7% interest compounded
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!