By Hand
Step 1:
Put the numbers in order.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 2:
Find the median.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 3:
Place parentheses around the numbers above and below the median.
Not necessary statistically, but it makes Q1 and Q3 easier to spot.
(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).
Step 4:
Find Q1 and Q3
Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.
(1, 2, 5, 6, 7), 9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.
Step 5:
Subtract Q1 from Q3 to find the interquartile range.
18 – 5 = 13.
We have been given an equation . We are asked to find constant of proportionality from our given equation.
We know that two directly proportional equations are in form ,where y is directly proportional to x and k is constant of proportionality.
Let us rewrite our given equation by cross multiplying as:
Now we will divide both sides of equation by 2.
We can see that our equation is in form and constant of proportionality is .
Answer:
Step-by-step explanation:
We have been given a graph of similar triangles. We are asked to find the value of x.
Since we know that corresponding sides of similar triangles are always in same proportion, so we will use proportions to find the length of x.
Upon cross multiplying our equation we will get,
Upon distributing 4 we will get,
Let us subtract 12 from both sides of our equation.
Upon dividing both sides of our equation by 4 we will get,
Therefore, the value of x will be 12.
Answer:
- see the graph below
- the function is NOT continuous
Step-by-step explanation:
First of all, the problem statement is incorrect in its description of the function as being defined for all real numbers. It is not defined for numbers less than -4.
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The graph is shown in the attachment. There is a discontinuity at x=4, so the function is not continuous.
Sorry this is a little late, but the answers are $350 per month, $1000 per year, and $20.75 per ride.