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
gulaghasi [49]
3 years ago
8

Therefore, the formula for the volume of the sphere can be derived by writing an expression that represents the volume of

Mathematics
1 answer:
torisob [31]3 years ago
6 0

Step-by-step explanation:

 The volume of a cone can be derived by writing an expression that represents the volume of one cone within the cylinder.

the expression for the volume of a cylinder is

volume-of-cylinder= \pi r^2h

the volume of a cone is a part of the volume of a cylinder

volume-of-cone= \frac{1}{3} \pi r^2h

Hence the volume of a cone can be derived by dividing the volume of a cylinder by 3

You might be interested in
What point on the unit circle corresponds to an angle of 173º
Wewaii [24]
Ksjdhrisgdfbvgigsdtr aerigtksjdbfkhg is the correct answer 

idk
lol
6 0
3 years ago
Solve the given inequality. Describe the solution set using the set-builder or interval notation. Then, graph the solution set o
ohaa [14]

Answer:

solution  (-∞,4.25)

Step-by-step explanation:

Given inequality is 4m +16.5 < 33.5.

Now we need to solve the given inequality. Describe the solution set using the set-builder or interval notation. Then, graph the solution set on a number line.

4m +16.5 < 33.5

4m < 33.5 - 16.5

4m < 17

m < \frac{17}{4}

m < 4.25

Hence solution set using interval notation is given by (-∞,4.25).

Graph will be an arrow pointing to the left of 4.25

3 0
3 years ago
Read 2 more answers
Shayna's school is selling tickets to a play. On the first day of ticket sales the school sold 13 senior citizen tickets and 13
jasenka [17]

The price of one senior citizen ticket is 8$ and one student ticket is 12$.

<h3>What is the equation?</h3>

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let the price of one senior citizen ticket = x

And the price of one student ticket = y

Given that, on the first day of ticket sales, the school sold 13 senior citizen tickets and 13 student tickets for a total of $260

The school took in $212 on the second day by selling 13 senior citizen tickets and 9 student tickets.

13x +13y = 260

13x + 9y = 212

Subtract the equation  from first

13x +13y - (13x + 9y) = 260 - 212

4y = 48

y = 48/4

y = 12

Substitute the value of y in the equation 13x + 9y = 212

13x + 9(12) = 212

13x + 108 = 212

13x = 212 - 108

13x = 104

x = 104/13

x = 8

Hence, the price of one senior citizen ticket is 8$ and one student ticket is 12$.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ1

6 0
2 years ago
PLEASE HELP MATH!!!!!!!!!!!!!!!!!!!!!
Lelechka [254]

Answer:

a

Step-by-step explanation:

6 0
3 years ago
A local brewery distributes beer in bottles labeled 24 ounces. A government agency thinks that the brewery is cheating its custo
Usimov [2.4K]

Answer:

Null hypothesis:  \mu \geq 24    

Alternative hypothesis :\mu < 24  

z=\frac{23.6-24}{\frac{0.8}{\sqrt{50}}}=-3.54    

On this case since we have a right tailed test we need to look into the normal standard distribution and find a value that accumulates 0.01 of the area on the right of th distribution or 0.99 of the area on the left and for this case we see that z_{critical}=2.33  

If we compare the p value and a significance level given \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the content of the bottles is significantly lower than 24 at 1% of significance.    

Step-by-step explanation:

Data given and notation    

\bar X=23.6 represent the average score for the sample    

s=0.8 represent the sample standard deviation    

n=50 sample size    

\mu_o =24 represent the value that we want to test    

\alpha=0.01 represent the significance level for the hypothesis test.    

z would represent the statistic (variable of interest)    

p_v represent the p value for the test (variable of interest)    

State the null and alternative hypotheses.    

We need to apply a one lower tailed test.    

What are H0 and Ha for this study?    

Null hypothesis:  \mu \geq 24    

Alternative hypothesis :\mu < 24    

Compute the test statistic  

The statistic for this case is given by:    

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)    

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

Calculate the statistic    

We can replace in formula (1) the info given like this:    

z=\frac{23.6-24}{\frac{0.8}{\sqrt{50}}}=-3.54  

Critical value

On this case since we have a right tailed test we need to look into the normal standard distribution and find a value that accumulates 0.01 of the area on the left of the distribution or 0.99 of the area on the right and for this case we see that z_{critical}=-2.33  

Give the appropriate conclusion for the test  

Since is a one side left tailed test the p value would be:    

p_v =P(Z    

Conclusion    

If we compare the p value and a significance level given \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the content of the bottles is significantly lower than 24 at 1% of significance.    

3 0
3 years ago
Other questions:
  • If the federal reserve decreases the reserve rate from 2.5% to 1.25% how does this affect the amount of money that would result
    13·1 answer
  • Explain why is equal to the sum of the measures of the two nonadjacent interior angles. **What is the name of the property?***
    6·1 answer
  • How to simplify 2a³ × a⁴​
    14·2 answers
  • How many solutions does this system have -3x+6y=10 -3x+6y= -4
    13·2 answers
  • The white bulletin board is 5 ft. 7 in. long and the blue bulletin board is 70 in. long. Which one is longer?
    6·2 answers
  • K/13 = 0.6/0.5 what does that equal
    6·1 answer
  • A room is 12 CM long and 8 m broad. find the ratio of i) length to breadth II) breadth to length​
    13·1 answer
  • Its delta math please help
    6·2 answers
  • Pls help math work :D (pls read highlighted saying)
    15·1 answer
  • HELP ASAP
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!