Answer:
Volume = 90 cm³
Step-by-step explanation:
Given:
The volume 'V' of a fixed amount of gas is directly proportional to the temperature 'T' and inversely proportional to the pressure 'P'.
Initial volume is, 
Initial temperature is, 
Initial pressure is, 
Final temperature is, 
Final pressure is, 
Final volume is, 
As per question:
Therefore,
Or, we can write the above as:
Therefore, the final volume is 90 cm³.
Answer:
m = -1/3
Step-by-step explanation:
There are two ways that you can use to get this answer.
The first way is to use the graph. You can see that to get from Point A to Point B, the dots go over 1 and down 3. For the fraction, you put the amount that you go to the side (1) over the amount you go down (3) to get 1/3. Since the points go down gradually, the slope is negative, so 1/3 becomes -1/3.
The second way is to take the two points, (1, 4) and (2, 1) and subtract them. First, subtract the x-coordinate from Point B from Point A to get -1. Then do the same thing with the y-coordinates to get 3. Put the -1 over 3 because x comes before y, and you have your slope.
I hope this helped :)
Step-by-step explanation:
B. Yes, we are 99% confident that the population mean is within the interval.
C. Yes, 225 is below the interval minimum, so it is reasonable to conclude the average cholesterol level is greater than 225 mg/dl.
D. No. Increasing the sample size would decrease the margin of error, so the ends of the interval would move closer to the sample mean of 251.9. So the interval minimum would still be higher than 225.
Answer:
They are both right angles and they both have a measure of 28°.
Step-by-step explanation:
angle A and angle B are both right angles (90°), and they both have a side measuring 28°. For the missing sides of both the measurement should be 62°.
