Answer:
0.38
Step-by-step explanation:
Let the even that a person has a dog be A. The probability is given 16% this implies:
<em>P(A)</em> = 0.16 ..... (1)
Let the event that a person has a cat denote by B. The probability of B is given to be 32% this implies....
<em>P(B</em>) = 0.32 ..... (2)
Then the event that a person has a dog and a cat will be denoted by A∩B. The probability of A∩B is given to be 10%: This implies:
<em>P(A∩B= = 0.12 .......(3)</em>
The event that someone owns a cat and a dog will denoted by the event <em>A∪B.</em> It is observed that A and B are not disjoint. This implies that the probability of this event is depicted as:
<em>P(A∪B) = P (A) + P(B) - P(A∩B)</em>
Substitute (1) , (2) and (3), in the above, we get:
<em>P(A∪B) = 0.16 + 0.32 - 0.10 = 0.38</em>
To calculate the time it takes for the penny to hit the ground, we use the formula given relating time and the height of the penny. We calculate as follows:
h = 4.9 (t²) + v0 t + h o
150 = 4.9 (t²) + 0 t + 0
0 = 4.9 (t²) - 150
t = 5.53
t = -5.53
Since in reality there is no time that is negative, the answer would be 5.53 units of time.
Pick a 3. P1/6
Pick another not 3 but 5 or 6 is P2/5
1/6 x 2/5 1/15 = 0.0667
Problem
Determine the functions value when x= -1?
a. g(-1) = -3
b. g(-1) = 0
c. g(-1) = 1
d. g(-1) = 27
Solution
For this case we just need to find the value of g when x= -1 and if we look at the table we got:
g(-1)= (-1)^3 + 6(-1)^2 +12(-1) +8
g(-1)= -1 +6 -12+8 = 5-12+8= 1
And then the solution for this case would be:
c. g(-1) = 1
To compare ratios, write them as fractions. The ratios are equal if they are equal when written as fractions.
