In order to change from 35 to 62, we have to add 27. So, the question becomes: which percentage of 35 is 27?
To answer this question, we set this simple equation

And solving for x we have

So, if you change from 35 to 62, you have an increase of about 77%
The attached image is the graph.
Answer:
The probability is 0.9211
Step-by-step explanation:
Let's call K the event that the student know the answer, G the event that the student guess the answer and C the event that the answer is correct.
So, the probability P(K/C) that a student knows the answer to a question, given that she answered it correctly is:
P(K/C)=P(K∩C)/P(C)
Where P(C) = P(K∩C) + P(G∩C)
Then, the probability P(K∩C) that the student know the answer and it is correct is:
P(K∩C) = 0.7
On the other hand, the probability P(G∩C) that the student guess the answer and it is correct is:
P(G∩C) = 0.3*0.2 = 0.06
Because, 0.3 is the probability that the student guess the answer and 0.2 is the probability that the answer is correct given that the student guess the answer.
Therefore, The probability P(C) that the answer is correct is:
P(C) = 0.7 + 0.06 = 0.76
Finally, P(K/C) is:
P(K/C) = 0.7/0.76 = 0.9211
Answer:
decreasing
Step-by-step explanation:
since its negative it will slope down
Answer :
Let's assume the opposite of the statement i.e., 3 + √5 is a rational number.


Since, a, b and 3 are integers. So,

Here, it contradicts that √5 is an irrational number.
because of the wrong assumption that 3 + √5 is a rational number.

Hence, 3 + √5 is an irrational number.