Answer:
For this question, we can assume that the lines are parallel.
Step-by-step explanation:
This means that angle 1 is congruent to angle 11.
Afterwards, we know that angle 11 + angle 12 equal a straight line, or 180º.
If angle 11 is congruent to angle 1, that means measure angle 11 = 112º.
Then, we subtract 112 from 180 which would give us 68.
Therefore, the answer is 68º.
Answer:
No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.
Step-by-step explanation:
Answer:
Out of every 5 trials, the desired outcome will occur approximately 2 times
Step-by-step explanation:
The first statements states that it will happen exactly two times, but probability never guarantee the outcome
The third and fourth statement states out of 7 which cannot be true as 2-5 basically means out of 5
Method 1:By graphing, we can find the graph of y = 5log(x + 3) and y = 5 to see where they intersect.
Method 2:Alternatively, by subtracting 5 from both sides, we can find where the graph 5log(x + 3) - 5 hits the x-axis. In essence, we are finding when y hits 0 and thus, finding where it hits the x-axis.
Method 3:We can also just solve this algebraically. When we don't have any superscripts, we take the assumption that we're working in base 10.
Divide both sides by 5:
![log(x + 3) = 1](https://tex.z-dn.net/?f=log%28x%20%2B%203%29%20%3D%201)
Take the inverse of log(x + 3) to both sides:
![10^{log_{10}(x + 3)} = 10^{1}](https://tex.z-dn.net/?f=10%5E%7Blog_%7B10%7D%28x%20%2B%203%29%7D%20%3D%2010%5E%7B1%7D)
![x + 3 = 10](https://tex.z-dn.net/?f=x%20%2B%203%20%3D%2010)
![x = 7](https://tex.z-dn.net/?f=x%20%3D%207)
Hence, we know that at x = 7, 5log(7 + 3) = 5.
The graphs of Method 1 is pictured first, and the graph of Method 2 is pictured on the right.