Answer:
B: sometimes
Step-by-step explanation:
Let's look at two examples.
Example A.
2, 3, 5: mean is 3
Replace 5 with 1. Now you have 1, 2, 3: mean is 2.
In this case, it affected the mean.
Example B.
2, 3, 5: mean is 3
Replace 5 with 4. Now you have 2, 3, 4: mean is 3.
In this case, it did not affect the mean.
As you can see, replacing the maximum value of the data set with a smaller number may or may not change the mean.
Answer: B: sometimes
X by itself is 1, otherwise it is the number to the left
Answer:
.797
Step-by-step explanation:
If your talking about a decimal number, you would say the <u>thousandth</u>. I know, weird, but don't blame me.
To round up, any number above 5 rounds up to the next value place, and any number below 5 rounds down to the last value place.
Ex: 1.3483838383
Since 8 is greater than 5, we could get rid of all the 83s and just round up to 1.35.
So the thousandths place in a decimal would be 0.79<u>6</u>66357977, so we just ask if the next number after the thousandths place is greater than 5. The place number after .796 is 6, so since it is greater than 5, we would round up to .797.
Our answer is .797.
Hope this helps!
In calculus, we use derivatives to find the instantaneous rate of change at any point on a graph. To find the average rate of change, we just find the slope of the secant line that intercepts two points on the graph.
We find slope with the following equation:

In this case, we are looking for the slope from x = -1 to x = 1. We have both x values, so next we need the y values.
F(-1) = (-1)^2 - (-1) - 1 = 1
F(1) = (1)^2 - (1) - 1 = -1
Now plug in the x and y values to find the slope:
The answer is -1.
Answer:
Abdullah is correct.
Step-by-step explanation:
The bottle contained originally 12 fl oz, so 12 fl oz is 100%.
The box now contains 20% more, so now it contains 120% of 12 fl oz.
120% * 12 fl oz = 1.2 * 12 fl oz = 14.4 fl oz
Also, 20% is 1/5. Abdullah divided 12 oz into 5 equal parts, and then he added one more 1/5. He interpreted the problem correctly. The amount in the new bottle is the amount of the old bottle plus 20% of that old amount.
Kanna considers the original amount to be 80%. When he adds another 20%, he is adding 1/4 of 12 which is too much. That is why he gets an incorrect answer that is to high. He interpreted the problem incorrectly. For him, the old bottle has 20% less than the new bottle. That is incorrect.
Abdullah is correct.