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
Leya [2.2K]
3 years ago
6

The area of a compact disc is 452 4/7 square centimeters. What is the diameter of a compact disc ? Use 22/7 as an approximation

for pie?
Mathematics
1 answer:
motikmotik3 years ago
6 0

\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} A=452\frac{4}{7} \end{cases}\implies 452\frac{4}{7}=\pi r^2\implies \cfrac{3168}{7}=\pi r^2 \implies \cfrac{3168}{7\pi }=r^2 \\\\\\ \stackrel{\pi =\frac{22}{7}}{\cfrac{3168}{7\cdot \frac{22}{7}}}=r^2\implies \cfrac{3168}{22}=r^2\implies 144=r^2\implies \sqrt{144}=r\implies 12=r \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{diameter=2r}{d=24}~\hfill

You might be interested in
X - 5 (x-1) = x - (2x - 3)
True [87]

Answer:

x=  2/3 = 0.667

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Jack practices his trumpet every 3days. he goes for a run every 4 days. if he did both today, in how many more days will he prac
LekaFEV [45]
7 because it is within a week according to my guest
8 0
3 years ago
What is the value of the y-intercept of the graph of h(x) = 1.2(4.15)^x?
gizmo_the_mogwai [7]

9514 1404 393

Answer:

  h(0) = 1.2

Step-by-step explanation:

The y-intercept is h(0). When x=0, the exponential term evaluates to 1, so the y-intercept is the multiplier of the exponential term.

  h(0) = 1.2 . . . the y-intercept

7 0
2 years ago
List a pair of vertical angles, then state the relationship between vertical angles ​
strojnjashka [21]

Answer:

6, 8

7, 9

1, 4

they are congruent (same angle measure)

5 0
3 years ago
Read 2 more answers
The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the Quality of Management and
kykrilka [37]

Answer:

The calculated χ² =  <u>17.0281</u>    falls in the critical region χ² ≥  9.49  so we reject the null hypothesis that  the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent

The p-value is 0 .001909. The result is significant at p < 0.05

Part b:

40 > 8.5

35> 7.5

25> 4

Step-by-step explanation:

1) Let the null and alternative hypothesis as

H0: the quality of management and the reputation of the company are independent

against the claim

Ha: the quality of management and the reputation of the company are dependent

2) The significance level alpha is set at 0.05

3) The test statistic under H0 is

χ²= ∑ (o - e)²/ e where O is the observed and e is the expected frequency

which has an approximate chi square distribution with ( 3-1) (3-1)=  4 d.f

4) Computations:

Under H0 ,

Observed       Expected E              χ²= ∑(O-e)²/e

40                      35.00                          0.71

25                      24.50                         0.01

5                         10.50                         2.88  

35                      40.00                         0.62

35                      28.0                          1.75

10                       12.00                           0.33  

25                      25.00                             0.00

10                        17.50                              3.21

<u>15                       7.50                                 7.50  </u>

<u>∑                                                               17.0281</u>

     

     

Column Totals 100 70 30   200  (Grand Total)

5) The critical region is χ² ≥ χ² (0.05)2 = 9.49

6) Conclusion:

The calculated χ² =  <u>17.0281</u>    falls in the critical region χ² ≥  9.49  so we reject the null hypothesis that  the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent.

7) The p-value is 0 .001909. The result is significant at p < 0.05

The p- values tells that the variables are dependent.

Part b:

If we take the excellent row total = 70 and compare it with the excellent column total= 100

If we take the good row total = 70 and compare it with the good column total= 80

If we take the fair row total = 50 and compare it with the fair column total= 30

The two attributes are said to be associated if

Thus we see that ( where (A)(B) are row and columns totals and AB are the cell contents)

AB> (A)(B)/N  

40 > 1700/200

40 > 8.5

35> 1500/200

35> 7.5

25> 800/200

25> 4

and so on.

Hence they are positively associated

8 0
3 years ago
Other questions:
  • The function h is defined by h(x)=60÷x−r, where r is a constant. Find r, if the graph of h passes through the point (−6,−20).
    6·1 answer
  • Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?
    13·2 answers
  • A class of 40 students elected a class president. There were 12 votes for Candidate A, and 18 votes for Candidate B. The remaini
    5·1 answer
  • How do you find the area of a parallelogram
    5·2 answers
  • HELPPP!!! WILLBEMARKEDBRAINLIEST 30 POINTSS
    9·1 answer
  • Dilate the point by a scale factor of 1/2 A(12,4)--&gt;A'( , )
    8·1 answer
  • HELP!!!!!!!!!!!!!!!!
    10·2 answers
  • PLEASE PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    6·2 answers
  • P(A) = 0.8, P(B) = 0.55 and P(A and B) = 0.35.<br> What is P(A or B)?
    14·2 answers
  • 3.2(2.9 + 2.9r)<br><br>what is the Answer please tell me the True Answer
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!