Answer:
correct answer is option B
Step-by-step explanation:
as we know equation of line
y = m x + c....................(1)
where c is the intercept
m is the slope
m =
m =
m = 35
putting value of m in equation (1)
we get
y = 35 x + c
from the graph we can clearly see that line is passing through (0,0) hence
0 = 35 (0)x + c
c = 0
hence the equation of line comes out to be
y = 35 x
correct answer is option B
Since we are translating this graph one unit to the right, replace x with (x-1)
Note: If you are translating a graph to the left by k units, replace x with (x+k), and if by the right, replace x with (x-k)
After simplifying, we now have the following equation:
This is the new equation. Let me know if you need any clarifications, thanks!
Answer:
Probability that the person doesn't use any facility = 0.0889
Step-by-step explanation:
Total number of people in a sports center = 135
Number of people using gym 'G' = 73
Number of people using swimming pool 'P' = 59
Number of people using track 'T' = 31
Number of people using gym and pool (G∩P) = 19
Number of people using pool and track (P∩T) = 9
Number of people using gym and track (G∩T) = 16
Number of people using all three facilities (G∩P∩T) = 4
Therefore, from the rule of compound probability,
P(GUPUT) = P(G) + P(P) + P(T) - P(G∩P) - P(G∩T) - P(P∩T) + p(G∩P∩T)
We know probability of an event =
We will plug in the values of probabilities of each event in the formula.
P(GUPUT) =
=
=
And probability that a person doesn't use any facility = 1 - P(GUPUT)
= 1 -
=
=
= ≈ 0.0889