Answer:
It would take 24 minutes for the element to decay to 50 grams
Step-by-step explanation:
The equation for the amount of the element present, after t minutes, is:
In which Q(X) decays radioactively with a half life of 12 minutes.(0) is the initial amount and r is the rate it decreases.
Half life of 12 minutes
This means that
So
If there are 200 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 50 grams?
This is t when Q(t) = 50. Q(0) = 200.
It would take 24 minutes for the element to decay to 50 grams
<h3>Answer : 60°</h3>
<h3>Way to do </h3>
#look pic for detailed info
180° - 125° = 55°
180° - 115° = 65°
180° - 55° - 65° = 60°
180° - 60° = 120°
180° - 120° = 60°
Answer:
There is approximately 17% chance of a person not having a disease if he or she has tested positive.
Step-by-step explanation:
Denote the events as follows:
<em>D</em> = a person has contracted the disease.
+ = a person tests positive
- = a person tests negative
The information provided is:
Compute the missing probabilities as follows:
The Bayes' theorem states that the conditional probability of an event, say <em>A</em> provided that another event <em>B</em> has already occurred is:
Compute the probability that a random selected person does not have the infection if he or she has tested positive as follows:
So, there is approximately 17% chance of a person not having a disease if he or she has tested positive.
As the false negative rate of the test is 1%, this probability is not unusual considering the huge number of test done.
The answer:
let be A(x) =<span>2√ 3 cos(x)csc(x)+4cos(x)-3csc(x)-2 √ 3
this function can be represented as </span><span>the product of the factors
proof
</span>2√ 3 cos(x)csc(x)+4cos(x)-3csc(x)-2 √ 3 =
2√ 3 cos(x)csc(x)+4cos(x)csc(x) / csc(x) - 3csc(x)- 2 √ 3 csc(x) / csc(x)
this method doesn't change nothing inside the function A(x)
so we have
[ 2√ 3 cos(x) +4cos(x) / csc(x) - 3 - 2 √ 3 / csc(x) ] . csc(x) this is a product of two factors,
[ 2√ 3 cos(x) +4cos(x) / csc(x) - 3 - 2 √ 3 / csc(x) ] and csc(x)
for more explanation
A(x) =[ 2√ 3 cos(x) - 3 + (4cos(x) - 2 √ 3 ) / csc(x) ] . csc(x)
Answer:
Step-by-step explanation:
Average = sum total/no. Of input
Average = (1.27 + 1.34 + 1.65 + 1.52 1.30 + 1.34)/6
Average = 8.42/6
Average = 1.403