Answer:
After 2 minutes the temperature of the hot chocolate will be 149.46 degrees Fahrenheit.
Step-by-step explanation:
We are going to use the Newton's law of cooling to solve this exercise. The Newton's law of cooling states that the amount of heat lost by a body is proportional to the difference of temperature between the body and the enviroment. We are going to use the following function :
T(t)=T_{0}+(T_{i}-T_{0}).e^{-kt}T(t)=T
0
+(T
i
−T
0
).e
−kt
Where ''T(t)'' is the temperature of the body that depends of the variable ''t'' which is time.
Where T_{0}T
0
is the temperature of the surroundings
In this case T_{0}T
0
is the temperature of the freezer
Where T_{i}T
i
is the initial temperature of the body which is cooling. In this case, T_{i}T
i
is the temperature of the hot chocolate
And where ''k'' is a constant. In this case, k=0.12k=0.12 is a data of the exercise
If we replace all the values in the equation and replacing t=2minutest=2minutes
⇒
T(2minutes)=0+(190-0).e^{-(0.12).(2)}T(2minutes)=0+(190−0).e
−(0.12).(2)
T(2minutes)=(190).(e^{-0.24})=149.46T(2minutes)=(190).(e
−0.24
)=149.46
We find that the temperature of the hot chocolate after 2 minutes is 149.46 degrees Fahrenheit
Number 5 is muply by 2 and number 6 is added by 6
The probability that a randomly selected pigeon gets an incorrect result is; 0.0103
<h3>How to find the Probability?</h3>
We are told that;
1.5% pigeons are infected.
Inaccuracy of the test = 1 - 97% = 3%
1.5% of the pigeons are infected. Thus;
1 - 1.5% = 98.5% pigeons are un-infected.
Inaccuracy of test is 1 - 99% = 1% .
Thus;
0.03 and 0.01 are the probability of an error being made in infected and un-infected respectively.
Meanwhile, probability of infected and un-infected are 0.015 and 0.985 respectively.
Thus, the probability of a randomly chosen person gets an incorrect result = (0.03*0.015) + (0.985*0.01) = 0.0103
Read more about Probability at; brainly.com/question/251701
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Answer:
ab, ac, bc
Step-by-step explanation:
a=30, b=60, c=180-(30+60) = 180-90=90
<span>-6/11 *3/4 = -9/22
I hope this help !</span>
