Answer:
ave. val. = -------------- = 0
Step-by-step explanation:
That's y = 2x^4 (the ^ symbol indicates exponentiation).
The average value of a function f(x) over the interval [a, b] is
f(b) - f(a)
ave. val. = ----------------
b - a
Here a = -2, b = 2 and f(x) = 2x^4. Thus, f(a) = 2(-2)^4 = f(b) = 2(2)^4 = 32, and
the average value is:
32 - 32
ave. val. = -------------- = 0
2 - (-2)
<u>Given</u>:
Given that the diameter of the hemisphere is 12.6 cm
The radius of the hemisphere is given by
We need to determine the volume of the hemisphere.
<u>Volume of the hemisphere:</u>
Let us determine the volume of the hemisphere.
The volume of the hemisphere can be determined using the formula,
Substituting the values, r = 6.3 and π = 3.14, we have;
Simplifying the values, we have;
Dividing, we have;
Rounding off to the nearest tenth, we get;
Thus, the volume of the hemisphere is 523.5 cm³
Answer:
midday is 12am and midnight is 12pm
Step-by-step explanation:
If the outliers are not included, what is the mean of the data set? 76, 79, 80, 82, 50, 78, 83, 79, 81, 82 (2 points) Select one
wlad13 [49]
Hello!
As you can see, 50 is the outlier, as it is not around the other numbers in the data set. Therefore, we will calculate the mean of all the numbers if we add up all the numbers and divide by 9.
(76+79+80+82+78+83+79+81+82)÷9=80
The mean of this data set (excluding the outlier) is 80.
I hope this helps!
Answer:
66 inches
Step-by-step explanation:
This implies that in this specific town in Texas, an average of 30 inches of rain falls every two weeks.
Amount of rain received every two weeks (14 days) = 30 inches.
For a 31 day month, we have:
= 2
Therefore for a 31 day month, the amount of rain received by the town can be determined as;
= 30 x 2
= 66.4285
= 66 inches
The amount of rain received by the town is 66 inches for the 31 days.