Answer:
<em>x = y = 64° , z = 20°</em>
Step-by-step explanation:
<em>x = y</em> =
<em>= 64 </em>°
m∠ADC = 52° + x
m∠ADC = 52° + 64° = 116°
<em>z</em> = 180° - 116° - 44° <em>= 20</em> °
Answer:
Therefore,

Step-by-step explanation:
Let Assume Some Diameter of a Circle, to Solve it
Diameter = d = 14 inch ( say )
C =Circumference
Pi =constant = 3.14
To Find:
C = ?
Solution:
Formula for Circumference of a Circle is given as

Where,
C = Circumference
d = Diameter
Now Substitute d = 14 inches we get

This way we can find the circumference for any 'd' i.e Diameter
Therefore,

<h3><u>Question:</u></h3>
The present ages of Ram and Rehman are in the ratio 8:9. After 5 years, the ratio of their ages will be 9:10. Find their present ages.
<h3><u>Statement:</u></h3>
The present ages of Ram and Rehman are in the ratio 8:9. After 5 years, the ratio of their ages will be 9:10.
<h3><u>Solution:</u></h3>
- Let the present age of Ram and Rehman be 8x years and 9x years respectively.
- After 5 years, their ages will be 9x years and 10 years respectively.
- Therefore, by the problem

- So, the present age of Ram = 8x years = (8×5) years = 40 years
- The present age of Rehman = 9x years = (9×5) years = 45 years
<h3><u>Answer:</u></h3>
The present ages of Ram and Rehman are 40 years and 45 years respectively.
Answer:
0.3876<p<0.4389
Step-by-step explanation:
-Given
-We calculate the proportion of surveys returned:

For a 99% confidence interval:

#The margin of error is calculated as;

The confidence interval are then:
![CI=\hat p\pm ME\\\\=0.4134\pm 0.0255\\\\=[0.3876,0.4389]](https://tex.z-dn.net/?f=CI%3D%5Chat%20p%5Cpm%20ME%5C%5C%5C%5C%3D0.4134%5Cpm%200.0255%5C%5C%5C%5C%3D%5B0.3876%2C0.4389%5D)
Hence, the confidence interval is 0.3876<p<0.4389