Answer:
∫
= 
Step-by-step explanation:
To find:
∫
Solution:
Method of substitution:
Let 
Differentiate both sides with respect to 
[use 
]
So,
∫ = ∫ 
= 
where 
is a variable.
(Use ∫
)
Put 
∫ = 
Use 
So,
∫ = 
where 
Without using substitution:
∫ = ∫
= 
So, same answer is obtained in both the cases.
The correct first step in finding the area of a base of a cylinder is to find the length of radius of the circular base.
Answer:
Step-by-step explanation:
You are to make 5 assemblies.
Each assembly requires the use of 1 Type A bolt.
To make the 5 assemblies, you need 5 Type A bolts.
The container of bolts has a total of 60 bolts.
The focus - Type A bolts - is 20 out of this 60.
The probability of obtaining a Type A bolt at all, is 20/60, which is = 1/3
(A) What is the probability of taking the exact number of Type A bolts you need for your 5 assemblies, if you randomly take 10 bolts from the container?
- The exact number of Type A bolts you need for the 5 assemblies is 5
1/3 × 5/10 = 5/30 = 1/6 = 0.167
(B) What is the probability of taking/having less than 5 Type A bolts out of the randomly selected 10 bolts? The solution is to sum up the following:
1/3 × 4/10 = 0.133
1/3 × 3/10 = 0.1
1/3 × 2/10 = 0.067
1/3 × 1/10 = 0.033
1/3 × 0/10 = 0
TOTAL = 0.333
Answer:
The answer is B.
Step-by-step explanation:
<em>A true proportion is a set of ratios that equal each other.</em>
<em> </em>For example, 1:2=2:4 is a proportion.
As we look through the list, we observe only B equals each other. Imagine 3:4 and 9:12 as a fraction. (¾ and 9/12). If we reduce 9/12, we get ¾. Thus, 3:4 = 9:12:)
I hope this helps!
