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
Probability of giving birth to four consecutive boys ;
0.52 0.52 * 0.52 * 0.52
= 0.073 ( rounded off)
Thus, the probability to give birth to 4 consecutive boys is 0.073
42 is 30% of 140
This is evident because, 42÷140=0.3
And you should hopefully know your place values right?
So then we know that 3 is in the10ths place and so to change the decimal to a fraction we get 3/10 which then changed to a percent, is equal to 30.
Long story short, 42 is 30% of 140 :)
When dividing fractions, we follow a rule called "Keep, change, flip"
Basically, you keep the first fraction the same, change the sign to a multiplication sign, and flip the second fraction.
2 = 2/1
7 * 1 + 6 = 13
2/1 * 7/13 = 14/13 = 1 1/13
2 divided by 1 6/7 = 1 1/13
3 3/5 = 18/5
2 1/4 = 9/4
18/5 * 4/9 = 72/45 = 8/5 = 1 3/5
3 3/5 divided by 2 1/4 = 1 3/5
4 1/2 = 9/2
2 3/8 = 19/8
9/2 * 8/19 = 72/38 = 36/19 = 1 17/19
4 1/2 divided by 2 3/8 = 1 17/19
Answer: C.
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.
Step-by-step explanation:
Let first work out g(x)
When x = 0
g(x) = 75
When x = 1
g(x) = 75( 1 - 50%)
g(x) = 75(0.5) = 37.5
Which is less than 43
With this, we can conclude that:
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.
