A) The exact area is just the difference between the two numbers:
2.69-2.67 = 0.02 units
b) Calculate the area of the circle with the two values for the radius:
A = <span>πr^2 = </span><span>π * 2.69^2 = </span>22.7328786 units squared
A = πr^2 = <span>π * 2.67^2 = 22.39609987 units squared
</span> Then, find the difference between the two numbers:
22.7328786 - 22.39609987 = 0.336778731 <span>≈ 0.34 units squared (2.s.f.)
c) I'm not sure what the question is asking for (perhaps the rounding expressed </span><span> at the end of b?)
d) The relative error is the absolute (exact) error divided by the actual value for </span><span> the radius:
</span> 0.02/2.67 = 0.007490636704 ≈ 0.0075 (2.s.f.)
The percentage area is the absolute (exact) error divided by the actual value for the area, and then multiplied by 100 to find a percentage:
(0.336778731/22.39609987)*100 = 1.503738298 <span>≈ 1.50% (2.s.f.)</span>
Answer:
b) Chemistry
Step-by-step explanation:
To compare both scored we need to standardize the scores using the following equation:
Where x is the score, m is the mean and s is the standard deviation. So, 82 on chemistry is equivalent to:
Because the mean of the scores on the chemistry final exam is equal to 75 and the standard deviation is 15
At the same way, 80 on Calculus is equivalent to:
Because the mean of the scores on the calculus final exam is equal to 83 and the standard deviation is 13
Now, we can compare the values. So, taking into account that -0.2308 is lower than 0.4667, we can said that the student do better in Chemistry.
Answer:
Simplest function is f(x) = 2x - 1
Step-by-step explanation:
When a function has a zero, simply put, that point is where the graph goes through the x-axis. At this point, the y value is 0.
If a function has a 0 of 1/2, that translates to x = 1/2 and also (1/2, 0). That means that y = 0 when x = 1/2.
If x = 1/2 and is a zero, then x - 1/2 = 0 and 2x - 1 = 0 (notice that y = 0 here and solving for x would get you right back to x = 1/2).
The simplest function with a zero of 1/2 is
f(x) = 2x - 1
You know it is true that the zero is 1/2 for two reasons. First one is to set the right side equal to 0 and solve for x.
The second one is to graph the line y = 2x - 1 and see that it goes through the x axis at 1/2 where y = 0.
Answer:
5.31x=9.28-6.65
5.31x=2.63
×=2.63/5.31
x=<u>2</u><u>.</u><u>63</u>
5.31
