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:
As the least common multiple of two numbers is 60 , the two numbers are factors of 60 . Among {1,2,3,4,5,6,10,12,15,20,30,60} , 3 & 10 and 5 & 12 are the only two pair of numbers whose difference is 7 . But Least common multiple of 3 and 10 is 30
Answer:
625 cm³ and 64000 cm³
Step-by-step explanation:
Given
x = ![\sqrt[3]{V}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7BV%7D)
( cube both sides )
x³ = V
(a)
x = 25 cm , then
V = 25³ = 625 cm³
(b)
x = 40 cm , then
V = 40³ = 64 000 cm³
Answer and Step-by-step explanation:
The answer is attached below
Answer:
36
Step-by-step explanation:
Square roots have a neat property: 
provided <em>a</em> and <em>b</em> are positive real numbers.
This property is what's behind simplifying square roots. You look for perfect square factors (4, 9, 16, 25, 36, ...) inside the square root sign.
Example: 
.
In this problem, both factors are perfect squares.
