Find the slope using the formula [ y2-y1/x2-x1 ].
-9-(-12)/-15-(-24)
3/9
1/3
Find the y-intercept using the formula [ y = mx + b ].
y = 1/3x + b
-12 = 1/3(-24) + b
-12 = -8 + b
-4 = b
Use (18, 2) to see if the line passes through it
y = 1/3x - 4
2 = 1/3(18) - 4
2 = 6 - 4
2 = 2 TRUE
Thus, the line does pass through (18, 2).
Best of Luck!
A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data between 4.2 and 5.1.
Answer: The correct option is B) about 34%
Proof:
We have to find 
To find
, we need to use z score formula:
When x = 4.2, we have:


When x = 5.1, we have:


Therefore, we have to find 
Using the standard normal table, we have:
= 

or 34.13%
= 34% approximately
Therefore, the percent of data between 4.2 and 5.1 is about 34%
Answer:
Large Box = 18.5
Small Box = 15.75
Step-by-step explanation:
Let x = large box and y = small box
5x+6y=187
3x+2y=87
cancel out one equation
(5x+6y=187)•3=15x+18y=561
(3x+2y=87)•-5=15x+10y=435
15x+18y=561
-15x-10y=-435
–––––––––––
0+ 8y= 126
8y÷8 =126÷8
y=15.75
Substitute y into either original equation
3x+2(15.75)=87
3x+ 31.5=87
3x+ 31.5-31.5=87-31.5
3x=55.5
3x÷3=55.5÷3
x=18.5
Answer:
Its either 300 or 315
Step-by-step explanation:
Mainly because 20 ×15= 300 but the triangles on the side, I can't figure it out. I eliminated 82 and 420, 420 mainly because I got it wrong and 82 doesn't make sense.
Answer:
2/5 = 40%
43%
13/19 = 68.4%
Juan
Step-by-step explanation: