Let B be the event that Andrea passes her test, and let A be the event
<span>that she studies. We are given that P(A and B) = 17/20, and that P(A) = 15/16. </span>
<span>Now the probability that Andrea passes her test given that she has studied </span>
<span>is represented by P(BlA). The formula your teacher gave you can be written as </span>
<span>P(BlA) = P(A and B) / P(A). </span>
<span>So P(BlA) = P(A and B) / P(A) = (17/20) / (15/16) = (17/20)*(16/15) = 68/75.</span>
Answer:
The required number is 7.
Dividing by this gives the perfect square 676.
Step-by-step explanation:
Finding the prime factors:
2) 4732
2) 2366
7) 1183
13)169
13
So 4372
= 2^2 * 7 * 13^2
= 4 *169 * 7
= 676 * 7
Now 676 is a perfect square so the answer is 7.
= 1283 * 4.
Answer is 1283.
Answer:

Step-by-step explanation:
let x = 0.616161 (etc.)
make a second equation because you multiply by 100:
100x = 61.616161 (etc.)
subtract from each other
100x = 61.616161
x = 0.616161
you get
99x = 61
solve for x

Answer:
21,800
Step-by-step explanation:
Because 475 x 8 equals 3800 you add 3800 to 18,000 and get 21,800
The graph is a circle, centered at the origin, with radius=4.
We know that we can write the equation of a circle with radius r and center (a,b) as :

.
Thus, substituting (a, b) with (0, 0) and r with 4, we have:

.
The solutions of this equation are all the points forming the circle shown in the picture. The solutions of this equation are still the same even if we multiply both sides of the equation by 2, because rewriting the equation as:

,
we would still have the same roots.
Thus, the equation of the circle can be written as :

.
Answer: B