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
Flauer [41]
3 years ago
11

The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.8 in/s. At

what rate is the volume of the cone changing when the radius is 138 in. and the height is 143 in.?
Mathematics
1 answer:
zepelin [54]3 years ago
7 0

Answer:

34191.7πin³/sec

Step-by-step explanation:

Volume of circular come = 1/3pi x r² x h

When we differentiate this formula we have

dv/dt = 1/3π[r²dh/dt + 2rhdr/dt]

We have the following information

r = 138

H = 143 inch

dr/dt = 1.4

dh/dt = -2.8

When we plug into the formula

1/3π[130² x -2.8 + 2x138x143x1.4]

= 34191.7πin³/sec

You might be interested in
A personnel manager is concerned about absenteeism. She decides to sample employee records to determine if absenteeism is distri
nlexa [21]

Answer:

df=categor-1=6-1=5

The critical value can be founded with the following Excel formula:

=CHISQ.INV(1-0.05,5)

And we got \chi^2_{critc}= 11.0705

a. 11.070

And since our calculated value is lower than the critical we FAIL to reject the null hypothesis at 5% of significance

Step-by-step explanation:

Previous concepts

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Solution to the problem

For this case we want to test:

H0: Absenteeism is distributed evenly throughout the week

H1: Absenteeism is NOT distributed evenly throughout the week

We have the following data:

Monday  Tuesday  Wednesday Thursday Friday Saturday    Total

 12             9                 11                 10           9            9              60

The level of significance assumed for this case is \alpha=0.05

The statistic to check the hypothesis is given by:

\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

The table given represent the observed values, we just need to calculate the expected values with the following formula E_i = \frac{60}{6}= 10 and the expected value is the same for all the days since that's what we want to test.

now we can calculate the statistic:

\chi^2 = \frac{(12-10)^2}{10}+\frac{(9-10)^2}{10}+\frac{(11-10)^2}{10}+\frac{(10-10)^2}{10}+\frac{(9-10)^2}{10}+\frac{(9-10)^2}{10}=0.8

Now we can calculate the degrees of freedom (We know that we have 6 categories since we have information for 6 different days) for the statistic given by:

df=categor-1=6-1=5

The critical value can be founded with the following Excel formula:

=CHISQ.INV(1-0.05,5)

And we got \chi^2_{critc}= 11.0705

a. 11.070

And since our calculated value is lower than the critical we FAIL to reject the null hypothesis at 5% of significance

4 0
3 years ago
There are 2 boys for every 3 girls. Today 5 new boys were added making the number of girls and boys the same. How many boys and
Anna11 [10]

Answer:

10 boys, 15 girls

Step-by-step explanation:

Original ratio: 2 boys/3 girls

let x be the scale factor of the ratio

2x plus 5 boys over 3x girls = 1 (because the # of boys/girls are the same)-------> 2x+5/3x = 1

Simplify: 2x+5=3x

Simplify: 5=x

plug x back into the original ratio: 10/15

Check: 10/15 = 2/3

10 boys + 5 boys = 15, 15/15 = 1

5 0
2 years ago
Five plus what equals 2?
N76 [4]

Answer:

-3

Step-by-step explanation:

5+-3 equals 2 because it is technically 5-3.

5 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIST ANSWER!! What is the most important things to know whether a scatterplot has a positive or negative correlat
Sladkaya [172]

Answer:

the direction of the plots if the go up at an angle it is positive if it goes down at a consistent angle it is negative correlation

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The sum of two numbers is- 4/3. If one of the numbers is -5, what is the<br>other?​
kipiarov [429]

Answer:

\boxed{\sf \ \ \ \dfrac{11}{3} \ \ \ }

Step-by-step explanation:

hello,

let's note x this number we can write

x-5=\dfrac{-4}{3}\\ 3x-15=-4\\ 3x=+15-4=11\\ x = \dfrac{11}{3}

hope this helps

4 0
3 years ago
Other questions:
  • I REALLY NEED HELP
    14·1 answer
  • Based on the figure below, what is the value of x?<br><br><br> 5<br><br> 7<br><br> 11<br><br> 15
    10·2 answers
  • The product of four and a number +17 is five
    9·1 answer
  • 9. If DF = 42, find DE.<br>7x+1 4x-3<br>DEF what is DE​
    9·1 answer
  • (2x-1)(x+2y-3)=<br> Mohon dijawab
    15·2 answers
  • What is the value of -4x + 12 if x = -4
    9·2 answers
  • Kira's store collects 5% sales tax on every item sold. If she collected $22 in sales tax, what was the cost of the items her sto
    7·1 answer
  • 0/0=? *please answer*
    12·1 answer
  • In problems below, (a) identify the independent variable and the dependent variable of each equation (use 't' for the independen
    8·1 answer
  • D(t)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!