Answer:
S={1, 1, 2, 2, 3, 4}
Probability of spinning a 1 = 1 in 3 or 33%
Step-by-step explanation:
The sample space is the set of all possible outcomes in an experiment. The outcomes here are the numbers in each section of the spinner: 1, 1, 2, 2, 3, 4. The sample space is:
S={1, 1, 2, 2, 3, 4}
Two out of six possible outcomes are "1s", therefore the probability of spinnin a 1 is:
The probability of spinning a 1 is 1 in 3 or 33%.
Answer:
D Line segments are the same and do not intersect
Step-by-step explanation:
They are parallell lines and are the same length
0.1212 as a fraction is 303/2500.
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:
Take the inverse of log(x + 3) to both sides:
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.
