Using the Law of Sines (sina/A=sinb/B=sincC for any triangle)
sinc/28=sin90/53 (sin90=1) multiply both sides by 28
sinc=28/53 take the inverse of sin (arcsin) of both sides
c=arcsin(28/53)°
c≈31.89° (to nearest hundredth of a degree)
So it is obvious that they rounded to nearest tenth of a degree
c≈31.9°
Answer: 0.7030
Step-by-step explanation:
Given : The population proportion for company's orders come from first-time customers : p=0.43
Sample size : n= 98
The test statistic for population proportion:-
For , 
For , 
Hence, the probability that the sample proportion is between 0.33 and 0.46 is 0.7030.
Answer:
54 one-third acre lots
Step-by-step explanation:
24 - 6 = 18
18 ÷ 1/3 = 18 × 3 = 54
When you add the equations in (a) you get 7x+y=24.
When you subtract the equations in (b) you also get 7x+y=24.
That means to solve both systems you can work with the same equation. However that is not enough. We must have two equivalent equations. We found only one.
Notice however that in the (b) we can take the first equation and divide every term by 2. When we do this we get 4x-5y=13. That’s the first equation in (a).
So both systems can be solved by working with the same two equations. These are 5x-5y=13 and 7x+y=24. And since we have two equations and two unknowns (the number of equations matches the number of variables) there is only one solution — one x and y that would make both systems true — solve both systems.
Basically we showed the systems are equivalent!
The initial number was 3.915 and doubled to 7.830
Regression equation y = 3. 915(1. 106)x
7.830=3.915(1.106)D
we have to find the value of D.
This is the concept of algebra,
suppose the initial number was x, and the new number is 2x.
The constant rate of growth is r and time is D,
Then,
what is the function representing growth?
from our choices the equations that represents the information above will be:
7.830=3.915(1.106)D
and
7.830=3.915(2)D
Therefore
from both equations we see the initial number was 3.915 and doubled to 7.830
To learn more about the regression equation visit:
brainly.com/question/1564293
