Answer:
n = 10
Step-by-step explanation:
given m varies directly as n then the equation relating them is
m = kn ← k is the constant of variation
to find k use the condition m = 6 when n = 5
6 = 5k ( divide both sides by 5 )
k = = 1.2
m = 1.2n ← equation of variation
when m = 12 , then
12 = 1.2n ( divide both sides by 1.2 )
10 = n
Answer:
A
Step-by-step explanation:
there is a common ratio between consecutive terms , that is
- 12 ÷ - 3 = - 48 ÷ - 12 = - 192 ÷ - 48 = 4
this indicates the sequence is geometric with nth term
= a₁
where a₁ is the first term and r the common ratio
here a₁ = - 3 and r = 4 , then
a₈ = - 3 × = - 3 × 16,384 = - 49,152
Answer with explanation:
The given mathematical expression to solve :
The prime factorization of each term can be written as follows :-
We can see that the greatest common factor of both the terms =
So we rewrite the given expression as :-
By using distributive property :-
, we have
Answer:
Step-by-step explanation:
Probability refers to chance of happening of some event.
Conditional probability is the probability of an event A, given that another event B has already occurred.
denote the two boxes.
In box :
No. of black balls = 1
No. of white balls = 1
In box :
No. of black balls = 2
No. of white balls = 1
Let B, W denote black and white marble.
So, probability that either of the boxes is chosen is
Probability that a black ball is chosen from box =
Probability that a black ball is chosen from box
To find:probability that the marble is black
Solution:
Probability that the marble is black =