Answer:
35
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Experimental probability : (Number of times event occur / total number of trials)
Total Number of trials = (3 + 4 + 6 + 3) = 16
Experimental probability :
For 1: P(1) :
3/16
For 2 : P(2) :
4/16 = 1/4
For 3: P(3)
6 /16 = 3/8
For 4 : P(4)
3 / 16
Theoretical probability :
The Theoretical probability of 1, 2, 3 and 4 are the same ;
Theoretical probability =
(Required outcome / Total possible outcomes)
For each of 1 - 4
Theoretical probability = 1 /4
Experimental probability of P(2) = 1/ 4 and is Hence, the same as the Theoretical probability
Using the Newton's law of cooling, the time it takes to cool to 100°F is 116 mins.
<h3>Newton's law of cooling</h3>
According to the Newton's law of cooling, the when an object is exposed to the surrounding it looses heat rapidly untill it is at a thermal equilibrium with the suurroundings.
Now;
T(t) = T(s) + (To - Ts)e^-kt
T(t) = temperature at time T
To = initial temperature
Ts = temperature of the surrounding
k = colling constant
t = time taken
200 = 68 + (230 - 68)e^-15k
200 = 68 + 162e^-15k
200 - 68/162 = e^-15k
ln(0.815) = -15k
k = ln(0.815)/-15
k = 0.014 min-1
Now;
100 = 68 + (230 - 68)e^-( 0.014t)
100 -68/162 = e^-( 0.014t)
0.198 =e^-( 0.014t)
ln(0.198) = -( 0.014t)
t = ln(0.198)/-0.014
t = 116 mins
Learn more about newtons law of cooling: brainly.com/question/14643865:
we have been given that in ΔFGH, the measure of ∠H=90°, GF = 53, HG = 28, and FH = 45. We are asked to find the ratio that represents the sine of ∠G.
First of all, we will draw a right triangle using our given information.
We know that sine relates opposite side of right triangle with hypotenuse.
We can see from the attachment that opposite side to angle G is FH and hypotenuse is GF.
Therefore, the ratio 
represents the sine of ∠G.
