The answer would be 4.875
Answer: 0.9738
Step-by-step explanation:
This is solved by the probability distribution formula for random variables where probability of determining random variable X is given by
P(X=r) = nCr * p^r * q^n-r
Where n = number of sample = 6
p = probability of success = 0.545
q = 1-p = 0.455
r = possible outcome from number of sample.
If 6 random births are chosen, Probability that at least 1 of them is a girl = 1 -[probability that none of them is a girl] = 1 - [probability that all 6 kids are boys]
Probability that all 6 kids are boys = 6C6 * 0.545^6 * 0.455^0 = 0.0262
Probability that at least one is a girl = 1 - 0.0262 = 0.9738.
Answer:
See explanation
Step-by-step explanation:
1. R is the set of all integers with absolute value less than 10, thus
2. A is its subset containing all natural numbers less than 10, thus
3. B is the set of all integer solutions of inequality 2x+5<9 that are less than 10 by absolute value (and therefore, it is also a subset of R). First, solve the inequality:
Thus,
See the diagram in attached diagram.
Note that
ABC has
A as the first letter
B as the second letter
C as the third letter
The order is important
Similarly with EFG we hae
E as the first letter
F as the second letter
G as the third letter
The order is also important
Based on the orderings, we can say
A corresponds to E
B corresponds to F
C corresponds to G
Which means
A rotates to E
B rotates to F
C rotates to G
The final answer is choice C) Angle C
since we're looking for the angle that rotates or maps to angle G
For this case we must solve each of the functions.
We have then:
f (x) = x2 - 9, and g (x) = x - 3
h (x) = (x2 - 9) / (x - 3)
h (x) = ((x-3) (x + 3)) / (x - 3)
h (x) = x + 3
f (x) = x2 - 4x + 3, and g (x) = x - 3
h (x) = (x2 - 4x + 3) / (x - 3)
h (x) = ((x-3) (x-1)) / (x - 3)
h (x) = x-1
f (x) = x2 + 4x - 5, and g (x) = x - 1
h (x) = (x2 + 4x - 5) / (x - 1)
h (x) = ((x + 5) (x-1)) / (x - 1)
h (x) = x + 5
f (x) = x2 - 16, and g (x) = x - 4
h (x) = (x2 - 16) / (x - 4)
h (x) = ((x-4) (x + 4)) / (x - 4)
h (x) = x + 4
