Hello! To solve this equation, first, add 5g to both sides. There are many instances where you would add, but because -5g is negative, you add. You do this to cancel that out, and get the integer without the variable on the right by itself. When you do this, you get 7g + 9 >= -12. Now, subtract 9 from both sides to get the 7g by itself. After that, you get 7g >= -21. Now, divide each side by 7 to isolate the variable. -21/7 is -3. There. g >= -3.
The difference is in way we observe some object that is moving. In translatory motion each point of the object has to go in straight line. A ball for example when kicked is rolling which means that not all of its oints are going in straight line. Some of points on ball are rotating. On the other hand in rectilinear motion it is only important that object is moving on straight line and it doesnt matter if it is rotating. So kicked ball that moves on ground is example of that.
Example of translatory motion can be our body in a bus that is going in straight line but not that wheels are rotating so they are moving rectilinear.
For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as
- 95% confidence interval = (0.5352, 0.4462)
- 95% confidence interval = (0.3424, 0.2894)
- 53% increased risk of divorce for smokers.
<h3>What is the 95% confidence interval for smokers and non-smokers?</h3>
Generally, the equation for the Confidence interval is mathematically given as
p ± Z/2[p(1-p)]/n
Where
Z1/2=1-(0.05/2)
Z1/2=0.975
Read z table we have
Z score= 1.96
Hence
0.4907 ± 1.96 (0.4907)(1-0.4907)/485
0.4907±0.0445
Therefore
95% confidence interval = (0.5352, 0.4462)
b)
Z1/2 = 1- (0.05/2)
Z1/2 = 0.975
Z score= 1.96
0.3159 ± 1.96 (0.3159)(1-0.3159)/1184
0.3159±0.0265
Thereofore
95% confidence interval = (0.3424, 0.2894)
c)
In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.
Read more about Confidence interval
brainly.com/question/17097944
Answer:
y+2=3(x+1)
Step-by-step explanation:
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(7-(-2))/(2-(-1))
m=(7+2)/(2+1)
m=9/3
m=3
y-(-2)=3(x-(-1))
y+2=3(x+1)
I'm assuming the equation is (2 * r) * (t - 3)... then you will just need to substitute the answers into the equation:
(2 * 2) * (6 - 3) = 4 * 3 = 12