Answer: 5.8%
Step-by-step explanation:
In this situation there is no replacement so we have to mulitply the probablilty of the first,second, and third marble being green. First marble has a 8/19 probablilty of being selected because 19 total marbles in the bag and 8 green marbles. the next marble will have a 7/18 probabililty because now only 18 marble are in the bag and we are assuming we selected a green marble on our first draw. Same thing with the last green marble it would be 6/17 because there would be 17 marbles in the bag and 6 green ones left assuming we got the first 2
so 8/19*7/18*6/17=
56/969=
0.05779
5.77%
5.8%
A linear function means you’re working with a line. Lines can be stated in slope-intercept form: y=mx+b.
To make it a linear function, you simply replace “y” with “f(x)” notation: f(x) = mx + b
The information you gave told you m=2 and b=6, since (0,b) is the y-intercept.
Putting that all together you have:
f(x) = 2x + 6
Answer:
x-intercept: (
−
2
,
0
)
y-intercept: (
0
,
−
8
)
Step-by-step explanation:
Answer:
Change the equation to the slope intercept form (y = mx + b)
2y = 6x + 8
Divide equation by 2
y = 3x + 4
Therefore
The line as a y intercept of 4
:
Parallel lines have the same slope;
Find the slope by putting in the equation in the point/intercept form
4x + 4y = 20
4y = -4x + 20
Divide equation by 4, results
y = -1x + 5
:
Now we know the slope (-1) and the y intercept (+4) if the line
y = -1x + 4
or just
y = -x + 4 is "the line"
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
1/3 of 90
= 1/3 * 90
= 90/3
= 30
Let the missing number be x.
2/3 of x
= 2/3 * x
= 2x/3
30 = 2x/3
Cross multiply,
2x = 30 * 3
2x = 90
x = 90/2
x = 45
Hence,
the missing number is 45.
