Answer:
Step-by-step explanation:
In order to convert the standard form equation we are given now into slope-intercept form, we need to get y on one side by itself and solve for y.
Work.
2x+3y=6
-3y -3y
2x=6-3y
-6 -6
2x-6=-3y
/-3 /3
-2/3x+2=y
y=-2/3x+2
Now that it is in slope intercept form, we can identify the y intercept and slope.
y-int=(0,2), slope=-2/3
I would graph the line by first plotting the y-intercept at the point (0,2). From there, I would plot the slope by going down 2 blocks and moving 3 blocks to the right. Then I would connect the two points with a ruler to get my line since you only need two points to create a line.
In order to solve this using V= B(h) (The B is area of the base) you need a radius it doesn't give us that but it does give us the circumference.
C= 3.14(2r)
25.12=2r divide each by 2
12.56=r
now use this in the volume formula:
V= 12.56^2(3.14)(66)
V=32,692.86 cubic inches
Step-by-step explanation:
- A
- B
...................
Answer:
1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the engineers are selected is not important, so the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
10 engineers selected from a set of 20.
5 best, from a set of 5.
Other 5, from a set of 20-5 = 15.
Totao outcomes:
10 engineers selected from a set of 20.
Probability:
1.63% probability that the 10 selected include include all the best 5 engineers in the group of 20
We can use the points (-4, -1) and (-8, 7) to solve.
Slope formula: y2-y1/x2-x1
= 7-(-1)/-8-(-4)
= 8/-4
= -2
Find the y-intercept.
y = 2x + b
-1 = 2(-4) + b
-1 = -8 + b
-1 + 8 = -8 + b + 8
7 = b
Now, put in slope-intercept form.
y = -2x + 7
Hope This Helped! Good Luck!