Answer:
48
Step-by-step explanation:
80 divided by 4 is 20 so thats 1/4 of 80
80-20=60
1/5 of 60 = 12
20+12=32
80-32=48
Answer:
an = 17n - 46
a50 = 804
Step-by-step explanation:
-29, -12, 5, 22, ...
Subtract each number from the next one.
-12 - (-29) = 17
5 - (-12) = 17
22 - 5 = 17
The common difference is 17. This is an arithmetic sequence which starts with -29, and in which each subsequent value is 17 more than the previous value.
a1 = -29
a2 = -29 + 17
a3 = -29 + 2(17)
a4 = -29 + 3(17)
Notice that for each term, you have -29 and something added to it. What you add to -29 is 17 multiplied by 1 less than the number of the term. For term 1, 1 less than 1 is 0. You add 0 * 17 to -29 and get -29. term 1 is -29. For term 2, 1 less than 2 is 1. You add 1 * 17 to -29 and get -12, etc.
For term n, 1 less than n is n - 1. Add (n - 1) * 17 to -29 to get term n.
an = -29 + 17(n - 1)
This formula can be simplified.
an = -29 + 17n - 17
an = -46 + 17n
an = 17n - 46
a50 = 17(50) - 46
a50 = 804
Answer:
Minimum = 14
Median = 32
Maximum = 65
Step-by-step explanation:
<u>Step 1: </u>Put your numbers in ascending order (from smallest to largest). For this particular data set, the order is
14, 18, 28, 29, 32, 44, 48, 50, 65
<u>Step 2:</u> Find the minimum and maximum for your data set. Now that your numbers are in order, this should be easy to spot.
Minimum = 14
Maximum = 65
<u>Step 3: </u>Find the median. The median is the middle number. The middle number in your list is 32, so
Median = 32
<u>Step 4: </u>Place parentheses around the numbers above and below the median.
(14, 18, 28, 29), 32, (44, 48, 50, 65)
<u>Step 5: </u>Find Q1 and Q3. Q1 can be thought of as a median in the lower half of the data, and Q3 can be thought of as a median for the upper half of data.
First quartile
Third quartile
<u>Step 6:</u> Write down your summary found in the above steps.
Minimum = 14
Median = 32
Maximum = 65
Answer:
5.01 is your answer.
Step-by-step explanation:
What you do is you have to get a by itself.
<em>15 (25 - 5a) = 4 - a</em>
<em>375 - 75a = 4 -a</em>
<em>-74a + 375 = 4</em>
<em>-74a = -371</em>
<em>a = 5.01 rounded to the nearest hundreth</em>
5.01 is your answer.
It would help if you had a four quadrant graph, but the distance would be (8,11).
