Answer:
24 possible outcomes
Step-by-step explanation:
Combination has to do with selection. For example, if r object is selected from a pool of n objects, the number if possible ways can be expressed according to the combination formula:
nCr = n!/(n-r)!r!
Applying this in question, if each student receives one of 4 calculator models and one of 3 types of ruler, the number of ways this can be done is:
4C1 × 3C1
4C1 = 4!/(4-1)!1! {If a student gets one calculator)
4C1 = 4×3×2/3×2
4C1 = 4ways
3C1 = 3!/(3-2)!1! {If a student gets a ruler}
3C1 = 3×2/1
3C1 = 6ways
Total number of possible outcomes if a student gets one ruler and one calculator will be 4×6 = 24ways
The answer is C because he starts off with 16 dollars and then spends it all on 4 rides
1. Answer:
30 is your frequency
Step-by-step explanation:
Frequency in this case would be the number of winners. So to find the frequency we would need to add up the total number of winners in the histogram.
So, 0 + 2 + 5 + 6 + 8 + 5 + 4 = 30
2. Answer:
6 (you already put that)
3.
The median can be found in the 50-59 bin or interval.
Answer:
8x + 5
Step-by-step explanation:
By adding
2x + 6 + 6x -1
8x + 5
The range of the equation is 
Explanation:
The given equation is 
We need to determine the range of the equation.
<u>Range:</u>
The range of the function is the set of all dependent y - values for which the function is well defined.
Let us simplify the equation.
Thus, we have;
This can be written as 
Now, we shall determine the range.
Let us interchange the variables x and y.
Thus, we have;
Solving for y, we get;
Applying the log rule, if f(x) = g(x) then 
, then, we get;
Simplifying, we get;
Dividing both sides by 
, we have;
Subtracting 7 from both sides of the equation, we have;
Dividing both sides by 2, we get;
Let us find the positive values for logs.
Thus, we have,;
The function domain is
By combining the intervals, the range becomes
Hence, the range of the equation is
