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
A. 7200 feet ÷ 3 minutes = x
Hope it helps!
And happy Pi Day! :D
Answer:
$2368.75
Step-by-step explanation:
Kedar earns a monthly salary of $2200 and a commission of 3.75%
He sold $4500 this month
The first step is to calculate his commission for this month
His commission can be calculated as follows
= 4500 × 3.75/100
= 4500 × 0.0375
= 168.75
Therefore yr amount earned this month can be calculated as follows
= 2200 + 168.75
= $2368.75
Answer:
................?.........
Let the width = x then length = x + 11 inches
Perimeter of a rectangle = 2*width + 2*length so we have the equation:-
( letting P = perimeter , L = length and W = width)
P = 2L + 2W
86 = 2(x + 11)) + 2x
86 = 4x + 22
4x = 86-22 = 64
x = 64 / 4 = 16 inches
Therefore the length of the rectangle = 16 + x
= 16 + 11 = 27 inches Answer
