Answer:
Y-intercept = 13
Step-by-step explanation:
Since, given points are:
(-2,5) and (3,25)
Now, by slope intercept form:
y= mx + b
Here, m= slope and b= y-intercept
In order to find y-intercept, we must find slope firstly:
Since,
Slope= m= y2-y1 / x2-x1
m= 25 - 5 / 3 - (-2)
m= 20 / 5
m= 4
Put ‘m’ in slope intercept form:
y= 4x + b
Substitute either point into above equation:
25= 4(3) +b
25= 12 + b
25 - 12 = b
or b= 25 - 12
b= 13
Hence, y-intercept is 13.
Approximately 21.22 yards.
Answer:
a. 720
b. 0.3
Step-by-step explanation:
a.
Three balls are selected at random without replacement.
First ball can be selected in 10 ways
Second ball can be selected in 9 ways
Third ball can be selected in 8 ways
Thus, there are 10×9×8 =720 different ways of selecting three balls.
b.
There are three cases that satisfy this condition
- first ball picked is 5, the others are not
- first ball is not 5, second is 5, third is not
- first and second ball is not five, third ball is 5
Each probabilities are:
![\frac{1}{10} * \frac{9}{9} *\frac{8}{8} =\frac{1}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7D%20%2A%20%5Cfrac%7B9%7D%7B9%7D%20%2A%5Cfrac%7B8%7D%7B8%7D%20%3D%5Cfrac%7B1%7D%7B10%7D)
![\frac{9}{10} *\frac{1}{9} *\frac{8}{8} =\frac{1}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B10%7D%20%2A%5Cfrac%7B1%7D%7B9%7D%20%2A%5Cfrac%7B8%7D%7B8%7D%20%3D%5Cfrac%7B1%7D%7B10%7D)
![\frac{9}{10} *\frac{8}{9} *\frac{1}{8} =\frac{1}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B10%7D%20%2A%5Cfrac%7B8%7D%7B9%7D%20%2A%5Cfrac%7B1%7D%7B8%7D%20%3D%5Cfrac%7B1%7D%7B10%7D)
Thus, one of the balls selected is the number 5 is then ![\frac{1}{10} + \frac{1}{10} + \frac{1}{10} = \frac{3}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7D%20%2B%20%5Cfrac%7B1%7D%7B10%7D%20%2B%20%5Cfrac%7B1%7D%7B10%7D%20%3D%20%5Cfrac%7B3%7D%7B10%7D)
The volume of a rectangular prism is L * W * H.
We are looking for whole numbers that multiply to 28.
There are 10 possible molds.
L, W, H
-------------
28, 1, 1
1, 1, 28
14, 2, 1
1, 14, 2
1, 2, 14
7, 4, 1
4, 1, 7
7, 1, 4
7, 2, 2
2, 2, 7
Answer:
64
Step-by-step explanation: