Answer:
P(A) = 44.44%
P(B) = 50%
P(B|A) = 37.5%
P(B|A) different from P(B).
A and B are independent.
Step-by-step explanation:
If we have a total of 180 students, and 80 of them have a Playstation, we have that P(A) = 80/180 = 0.4444 = 44.44%
If we have 90 students that have a Xbox, we have that P(B) = 90/180 = 0.5 = 50%
If we have 30 students that have both consoles, we have that P(A and B) = 30/180 = 0.1667 = 16.67%
To find P(B|A), we will find for a student that has an Xbox inside the group of students that has a Playstation, that is, we have 30 students in a total of 80 students, so P(B|A) = 30/80 = 0.375 = 37.5%
P(B|A) is different from P(B), the first is 37.5% and the second is 50%, so events A and B are independent events.
Answer:
1. Below 2. B. d = 8h
Step-by-step explanation:
The graph is a bit confusing. But basically, substitute x for the numbers they give you.
5x
5 · 1 = 5 = y
5 · 2 = 10 = y
5 · 3 = 15 = y
5 · 4 = 20 = y
7x
7 · 1 = 7 = y
7 · 2 = 14 = y
7 · 3 = 21 = y
7 · 4 = 28 = y
Answer:
The mean standard deviation is 10/5
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
We know that function <em>h</em> represents an object's height in feet after <em>x</em> seconds.
In that case, option A) h(15) = 100 means that after 15 seconds, the object's height is 100 feet.
Option B) h(100) = 15 means that after 100 seconds, the object's height is 15 meters.
Therefore, neither A nor B are correct.
Option C) h(15) - h(0) = 100 means that between the zeroth and 15th second, their difference is 100 feet.
In other words, the object's height increased by 100 feet over the first 15-second period.
Option C is correct.
For Option D), it gives us the average rate of change. (h(15) - h(0)) / (15) = 100 means that for the first fifteen seconds, the height of the object increased at an average rate of 100 feet per second.
12 and 3/10 more than 5 and 13/1000 of d equals 15 and 302/1000
12 and 3/10+(5 and 13/1000 times d)=15 and 302/1000
convert to improper fractions
12 and 3/10=123/10
5 and 13/1000=5013/1000
15 and 302/1000=15302/1000
123/10+(5013/1000 times d)=15302/1000
subtract 123/10 from both sides
123/10=12300/1000
(15302-123000)/1000=2698/1000
5013/1000 times d=2698/1000
multiply both sides by 1000/5013 to clear fraction
d=2698/5013
