Answer:
T = 96
Step-by-step explanation:
From the question given above, we were told that the time, T (seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting, H. This can be written as:
T ∝ 1/H
T = K/H
Cross multiply
K = TH
Next, we shall determine the value of K. This can be obtained as follow:
H = 8
T = 120
K =?
K = TH
K = 120 × 8
K = 960
Finally, we shall determine the value of T when H = 10. This can be obtained as illustrated below:
H = 10
K = 960
T =.?
T = K/H
T = 960/10
T = 96
William needs 102.6 fencing in all because 76.9 plus 25.7 equals 102.6, hope this helps!
It is 10x4x3x2 equals two hundred and forty
Using f(x) = y, we know that a graph of the function contains the (x,y) points (2,5) and (6,-1). first find the slope of that line,
m = (y2 - y1)/(x2 - x1) ⇒ -6/4⇒-3/2
then using either point (I'll use the first one) solve for b in y = mx + b.
5 = (-3/2)(2) + b⇒ 5 = -3 + b⇒ 8 = b.
So y = (-3/2)x + 8 ⇒ f(x) = (-3/2)x + 8.
Two events are said to be independent when the occurence of one event does not in any way affects the occurence of the other event.
For independent events, the probablilty of event A happening given that event B has happened is given by the probability of event A happening.
i.e. P(a | b) = P(a).
Therefore, given that p(a) = 0.05 and P(b) = 0.65, then p(a | b) = p(a) = 0.05.
