Events:
1 ≤ n ≤ 100
A=x is a perfect square, i.e. x=n^2
B=x is odd, i.e. n is odd
P(A|B)
=P(A∩B)/P(B) by definition of conditional probability
(reads Probability that the number is a perfect square given that it is odd)
Since there are 10 perfect squares between 1 to 100 (1,4,9,16,25,36,49,64,81,100), out of which 5 are odd {1,9,25,49,81)
So P(A∩B)=5/100
P(B)=probability of odd x {1,3,5,7,.....95,97,99}
= 50/100=1/2
Therefore
P(A|B)=(5/100)/(1/2)=1/10
Let us convert both speeds to meters per minute.
The turtle:
27 km/ hr
1000 m in a kilometer
60 minutes in an hour
(27*1000)/60
= 450 m/min
The girl:
14 dm/ s
0.1 m in a dm
1/60 minutes in a second
(14*0.1)/(1/60)
= 84 m/min
The turtle is
450 - 84
= 366 m/min faster than the girl
00701, .007, .0067, .00618, .006
Step 1 : Compare the whole numbers.Step 2 : When whole numbers are same check the decimal places.Step 3 : Convert into like decimals considering the maximum decimal number.The correct order is .00701, .007, .0067, .00618, .006
We need explaining and examples not just the question
Answer:
54degrees
Step-by-step explanation:
From the given diagram;
2<P + 136 + 74 + 42 = 360 (sum of angle at a point is 360degrees)
2<P +252 = 360
2<P = 360 - 252
2<P = 108
<P = 108/2
<P = 54
Hence the measure of <P is 54degrees
