1answer.
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
Artist 52 [7]
2 years ago
15

A clay pot has a mass of 54 grams and a density of 2 grams per cubic centimeter. What is its

Mathematics
1 answer:
Alexus [3.1K]2 years ago
5 0

To answer this question, we need to first understand the concepts of Volume and Density. Volume is a pretty easy concept to grasp - it is the overall space of a three-dimensional object. Density is essentially a rate, mass per unit of volume.<em> </em>

<em />

<em>For example, let's say we have an object that has a volume of 50 </em>m^{3} <em>(cubic meters). If this object has a density of 10 </em>\frac{g}{m^3} <em>(grams per cubic meter), that essentially means that the object weighs 10 grams for every cubic meter of space it occupies. Because the object occupies 50 cubic meters of space, we know that the total weight will ultimately be 500 grams, as 50 times 10 is 500.</em>

<em />

Okay, so we have an example. What can we do with it? Let's try to make an equation out of this example we have. We can see that the total weight of the object is found by multiplying density and volume. Let's write that in an equation:

m = d * V

<u>in which:</u>

m - mass

d - density

V - volume

This equation makes total sense, too! Density is essentially \frac{mass}{volume}, and by multiplying it by volume it cancels out the volume, leaving behind only the final mass!

You may be thinking ,"well, this equation solves for mass, not volume. We're trying to solve for volume, aren't we?" You're right! Let's isolate V in order to create our final equation:
m = d * V

Divide both sides by d:
\frac{m}{d} = \frac{d*V}{d}

\frac{m}{d} = V

V = \frac{m}{d}

Awesome! We have our equation! Let's get the numbers we were given from the equation and plug them in:
V = \frac{m}{d}

V = \frac{54}{2}

V = 27 cm^{3}

And that's our answer! If you need any further explanation, just let me know!

- breezyツ

You might be interested in
Help pls!! What is the segment of AC?
prohojiy [21]

Answer:

It's an angle bisector

Step-by-step explanation:

It is between 2 congruent angles therefore bisects those angles

4 0
2 years ago
PLEASE HELP
Papessa [141]
<2,14>  thats the answer its complicated but i got it after the 2nd try 

3 0
3 years ago
Read 2 more answers
According to the South Dakota Department of Health, the number of hours of TV viewing per week is higher among adult women than
Murrr4er [49]

Answer:

a) P(x<40) = 0.90824

Therefore, the percent of the women watch TV less than 40 hours per week is 0.90824 × 100 = 90.8240%

b)P(x>25) = 1 - P(z = -0.78) = 0.7823

Therefore, percent of the men watch TV more than 25 hours per week?is 0.7823 × 100 = 78.230%

c)The number of hours that the one percent of WOMEN who watch the most TV per week watch is for 44.485hours

While, for the MEN, the number of hours that the one percent of men who watch the most TV per week watch is for 40.883 hours

Step-by-step explanation:

To solve this question, we would be using z score formula:

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

a. What percent of the women watch TV less than 40 hours per week? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)

z = (x-μ)/σ,

where x is the raw score = 40 hours

μ is the population mean = 34 hours

σ is the population standard deviation = 4.5

z = (40 - 34)/4.5

z = 1.33333

Approximately to 2 decimal places = z score = 1.33

Using the normal distribution z score table

Probabilty value from Z-Table:

P(z = 1.33) = P(x<40) = 0.90824

Therefore, the percent of the women watch TV less than 40 hours per week is 0.90824 × 100 = 90.8240%

b. What percent of the men watch TV more than 25 hours per week? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)

z = (x-μ)/σ,

where x is the raw score = 25 hours

μ is the population mean = 29 hours

σ is the population standard deviation = 5.1

z = (25 - 29)/5.1

z = -0.78431

Approximately to 2 decimal places

z score = -0.78

Using the z score normal distribution table:

Probability value from Z-Table:

P(z = -0.78) = P(x<Z) = 0.2177

P(x>25) = 1 - P(z = -0.78) = 0.7823

Therefore, percent of the men watch TV more than 25 hours per week?is 0.7823 × 100 = 78.230%

c. How many hours of TV do the one percent of women who watch the most TV per week watch? Find the comparable value for the men. (Round your answers to 3 decimal places.)

First, we find what the z score is.

We were asked in the question to find how many hours 1% of the women watch TV the most.

We have to find the confidence interval

100 - 1% = 99%

The z score for the confidence interval of 99% or 0.99(in decimal form) = 2.33

z score = 2.33

Since we know the z score now, we proceed to find x = raw score.

z = (x-μ)/σ,

where x is the raw score = unknown

μ is the population mean = 34 hours

σ is the population standard deviation = 4.5

2.33= (x - 34)/4.5

Cross Multiply

2.33 × 4.5 = x - 34

10.485 = x - 34

x = 10.485 + 34

x = 44.485 hours.

Therefore, the number of hours that the one percent of women who watch the most TV per week watch is for 44.485hours

In the question, we were also asked to find the comparable value for men.

Hence, for one percent of the men.

We determine what the z score is.

We were asked in the question to find how many hours 1% of the men watch TV the most.

We have to find the confidence interval

100 - 1% = 99%

The z score for the confidence interval of 99% or 0.99(in decimal form) = 2.33

We already have our z score as 2.33

z = (x-μ)/σ,

where x is the raw score = unknown

μ is the population mean = 29 hours

σ is the population standard deviation = 5.1

2.33= (x - 29)/5.1

Cross Multiply

2.33 × 5.1 = x - 29

11.883 = x - 29

x = 11.883 + 29

x = 40.883 hours.

Therefore, the number of hours that the one percent of men who watch the most TV per week watch is for 40.883 hours

8 0
3 years ago
Writing the Equation of a Parallel Line
Softa [21]
2x + 5y = - 5 is the answer. I m very expert in maths . So ask me your doubt. I can help
3 0
3 years ago
How do you multiply 2/3 and n?
adoni [48]
I believe the answer is 2/3n
6 0
3 years ago
Read 2 more answers
Other questions:
  • In the figure shown, AB = 8 and AD = 5. What is BC?
    7·1 answer
  • Multiply: (5x − 2)(4x2 − 3x − 2)?
    14·1 answer
  • Simplify <br> (^3)x4<br> Easy 30 points
    6·2 answers
  • Help idk what to do help
    7·1 answer
  • a fish tank is 24 inches long. 16 inches deep and 10 inches tall. The tank is filled halfway. How much water is in the tank?
    6·1 answer
  • Yes or no please, question in picture
    10·2 answers
  • A 180 pound weight is supported by two ropes each at 30 degrees, as shown in the figure. Find the tension in each rope.
    14·2 answers
  • I need to know how to find HG, HF,HE. My teacher making find of all that so someone smart please help me lol.
    12·1 answer
  • 13)
    14·1 answer
  • Which shows the solution set to the
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!