Answer:
x-intercept = (-9,0)
y-intercept = (0,27)
Step-by-step explanation:
So first we will convert 9x - 3y = -81 into slope intercept form (y=mx+b).
Subtract 9x on both sides to get -3y = -9x -81. Next divide -3 on both sides to get y = 3x + 27.
Since b is the y-intercept, in y=mx+b and 27 is in the position of b, we can already tell that 27 is the y-intercept. So we will write it as (0,27) because coordinates are supposed to be written as (x,y).
Now in order to find the x-intercept, we will have to plug in 0 for y, in the original equation, so we can solve for x.
So we have: 9x -3(0) = -81
Since 3 × 0 = 0, we now have 9x - 0 = -81. So next we add 0 on both sides to get 9x = -81, and then we divide by 9 to get x = -9. So we will write this as (-9,0).
Hope this helps you :)
Answer:
Option H
Step-by-step explanation:
<u>Step 1: Determine which option is correct</u>
Option F: The mode/most common number in Store 1 is 2 which the mode of Store 2 is 1. So... the first option is not correct.
Option G: The range for both of the data sets are 6. So... the second option is not correct.
Option H: The mean/average of Store 1 is 2.9 which the mean/average for Store 2 is 2. So... this option is correct because store 1 does have a higher mean than store 2.
Answer: Option H
Answer:
x=7
Step-by-step explanation:
6(7-5)=12
Answer:
0.4%
Step-by-step explanation:
In this case, because the coins have been replaced, the final probability would be multiplying the same probability six times (or raising it to exponent 6.). In other words, the probability of a dime coming out.
This probability would be the amount of dimes divided by the total number of coins, as follows:
Total coins = 10 + 8 + 2 = 20 coins.
So the probability would be: 8/20 = 2/5
The final probability would then be:
(2/5) ^ 6 = 0.004
In other words, the probability of this event occurring 6 times in a row is 0.4%
