Answer:
V = 4.187r³
Step-by-step explanation:
Volume of a sphere is expressed using the formula;
V = 4/3πr³
r is the radius
Substitute π = 3.14 into the formula
V = 4/3 * 3.14r³
V = 4.187r³
Hence the volume of a sphere in terms of the radius is V = 4.187r³
Answer:
40
Step-by-step explanation:
5 people in the room have 5*40 = 200 years altogether
a new person is X years old.
Now 6 people have (200 + x) years altogether.
Mean age of 6 people is (200+x)/6. and it is also = 40.
So,
(200+x)/6 = 40
200 + x = 240
x = 40
Answer: Third option
Step-by-step explanation:
For this exercise it is important to remember the following:
1. By definition, the Associative property of addition states that it does not matter how you grouped the numbers, you will always obtained the same sum.
2. The rule for the Associative property of addition is the following (given three numbers "a", "b" and "c"):
Knowing the information shown before, you can identify in the picture attached that the option that illustrates the Associative property of addition is the third one. This is:
As you can notice that you will always get the same result:
<span>First we calculate z using the formula:
z = (x - μ)/σ</span>
Where:
x = our variable, 10
μ = mean, 8
σ = standard dev, 2
Substituting known
values:<span>
z = (10 - 8)/2
z = 2/2
z = 1
Using the tables of
the normal distribution to find the p-value with z = 1
p = 0.8413
Since we want
"greater than 10”, we need to subtract the probability from 1
therefore
p* = 1 - 0.8413 = <span>0.1587</span></span>
