A factor of 30 is chosen at random. What is the probability, as a decimal, that it is a 2-digit number?
The positive whole-number factors of 30 are:
1, 2, 3, 5, 6, 10, 15 and 30.
So, there are 8 of them. Of these, 3 have two digits. Writing each factor on a slip of paper, then putting the slips into a hat, and finally choosing one without looking, get that
P(factor of 30 chosen is a 2-digit number) = number of two-digit factors ÷ number of factors
=38=3×.125=.375
Answer:
the shape could be congruent or similar to its preimage. There are basically four types of transformations: Rotation; Translation; Dilation; Reflection; Definition of Transformations. Transformations could be rigid (where the shape or size of preimage is not changed) and non-rigid (where the size is changed but the shape remains the same).
Step-by-step explanation:
Answer:
1.861(10²)
Step-by-step explanation:
Proper scientific notation only has the ones place and decimals. To get the same value again, we would need the exponent to be 2 and not -2.
Answer:
The minimum value for 
is 
.
Step-by-step explanation:
Given function is
We need to find the maximum value or the minimum value for the function.
Now, differentiate w.r.t 
.
Now, we will equate 
to find critical point.
Plug this critical point in to the function we get,
Also, 
which is positive, We have minimum value.
So, the minimum value for is .
For the second question (5/6)/(4) is the same as (5/6)*(1/4) so just multiply across and you get (5/24)
