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
Gennadij [26K]
2 years ago
14

3

Mathematics
1 answer:
Dafna11 [192]2 years ago
5 0

The approximate length of rail that needs to be replaced is 7.1 ft

<h3>Length of arc</h3>

Since the pool is circular, the approximate length that needs to be replaced is an arc of length, L = Ф/360° × πD where

  • Ф = central angle of rail section = 27° and
  • D = diameter of circular pool = 30 ft

<h3>Approximate length of rail</h3>

So, substituting the values of the variables into the equation, we have

L = Ф/360° × πD

L = 27°/360° × π × 30 ft

L = 3/40 × π × 30 ft

L = 3/4 × π × 3 ft

L = 9/4 × π  ft

L = 2.25 × π  ft

L = 7.07 ft

L ≅ 7.1 ft

So, the approximate length of rail that needs to be replaced is 7.1 ft

Learn more about length of an arc here:

brainly.com/question/8402454

You might be interested in
Write this number showing three significant figures. Remember to round. 8.428
nikdorinn [45]

Answer:

8.43

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please help!! ;w; Thank you in advance!!!
Dovator [93]

10  5/6  =   65/6

2  1/4    =  9/4

2 (9/4)  =   9/2

So   the  length  left   is

65/6  -  9/2    =

65/6  -  27/6   =

38 / 6    =

19 / 3    =

6 1/3   in

sorry this was a late response

5 0
3 years ago
The Pew Research Center reported that 73% of Americans who own a cell phone also use text messaging. In a recent local survey, 1
AnnZ [28]

Answer:

z=\frac{0.775 -0.73}{\sqrt{\frac{0.73(1-0.73)}{200}}}=1.433  

Now we can find the p value. Since we have a bilateral test the p value would be:  

p_v =2*P(z>1.433)=0.152  

Since the p value is higher than the significance level of 0.1 we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

Do Not reject H0

Step-by-step explanation:

Information provided

n=200 represent the sample size slected

X=155 represent the cell phone owners used text messaging

\hat p=\frac{155}{200}=0.775 estimated proportion of cell phone owners used text messaging

p_o=0.73 is the value to verify

\alpha=0.1 represent the significance level

We need to conduct a z test for a proportion

z would represent the statistic

p_v represent the p value

System of hypothesis

We want to verify if the true proportion of cell phone owners used text messaging is different from 0.73 so then the system of hypothesis are:

Null hypothesis:p=0.73  

Alternative hypothesis:p \neq 0.73  

The statistic to check this hypothesis is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the data given we got:

z=\frac{0.775 -0.73}{\sqrt{\frac{0.73(1-0.73)}{200}}}=1.433  

Now we can find the p value. Since we have a bilateral test the p value would be:  

p_v =2*P(z>1.433)=0.152  

Since the p value is higher than the significance level of 0.1 we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

Do Not reject H0

6 0
3 years ago
What is the amount of compound interest earned after three years on a $100 deposit paying 8 percent interest annually? $8.00 $16
horrorfan [7]
$24.

8% of $100 is $8.

$8 x 3 years = $24
3 0
3 years ago
Solve for a and b<br> Will rearward 15 points and Brainliest
Charra [1.4K]
A= 72.5 (you take 145 and divide by 2 b/c one inside is smaller)
B= 72.5 also b/c the share a corresponding line
3 0
3 years ago
Other questions:
  • AABC transforms to produce AABC. Which transformation did NOT take place?
    12·2 answers
  • Please help!!!!!!!!
    10·1 answer
  • 4-3x &gt; 2x -1 what does it need to be to be greater or less than I guess
    8·1 answer
  • Sarah sold a total of 178 t shirts and posters at a festival. She sold 46 more tshirts than poster. How many posters did she sel
    12·1 answer
  • Solve −4(x + 1) − 3 = −3(x − 4). (1 point) −19 19 2 0
    12·1 answer
  • Can you wiggle your ears? Use the students in your statistics class (or a group of friends) to estimate the percentage of people
    6·1 answer
  • (-6)3= ?can I get the answer plz​
    10·1 answer
  • PLEASE HELP ME I DO'T UNDERSTAND DIS MATh
    6·1 answer
  • One of the legs of a right triangle measured 6 cm and the other leg measures 17cm. Find the measure of the hypotenuse. If necess
    12·2 answers
  • PLEASE HELP! What is the value of the expression, written in standard form? (6.6x 10^-2 ) (3.3x10^-4) ​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!