Answer:
0.589
Step-by-step explanation:
THis is a conditional probability question. Let's look at the formula first:
P (A | B) = P(A∩B)/P(B)
" | " means "given that".
So, it means, the <u><em>"Probabilty A given that B is equal to Probability A intersection B divided by probability of B."</em></u>
<u><em /></u>
So we want to know P (Female | Undergraduate ). This in formula is:
P (Female | Undergraduate) = P (Female ∩ Undergraduate)/P(Undergraduate)
Now,
P (Female ∩ Undergraduate) means what is common in both female and undergraduate? There are 43% female that are undergrads. Hence,
P (Female ∩ Undergraduate) = 0.43
Also,
P (Undergraduate) is how many undergrads are there? There are 73% undergrads, so that is P (undergraduate) = 0.73
<em>plugging into the formula we get:</em>
P (Female | Undergraduate) = P (Female ∩ Undergraduate)/P(Undergraduate)
=0.43/0.73 = 0.589
this is the answer.
Answer:
k = 73
Step-by-step explanation:
The sum of all the angles in a triangle is 180 degrees.
62
° + k + 45
° = 180
Solve the equation for k
Add 62
° and 45
°
k + 107 = 180
Move all terms not containing C to the right side of the equation.
Subtract 107 from both sides of the equation.
k = 180 − 107
Subtract
k = 73
In Jennifer's bag, there are 7 marbles. Out of 7 marbles, 4 of them are blue.
Hence, the probability that Jennifer picks one blue marble is 4/7. (Option 1).
60 x 5 = 300 days
So five half-lifes = 300 days
Starting amount = 500mg
<span>Amount after 1st half-life = 250 mg</span>
<span>Amount after 2nd half-life = 125 mg</span>
<span>Amount after 3rd half-life = 62.5 mg</span>
<span>Amount after 4th half-life = 31.25 mg</span>
<span>Amount after 5th half-life = 15.625 mg</span>
<span>Hence after 300 days, the amount of iodine-125 will be 15.625 mg out of 500 mg.</span>
