Answer:
x = 7
Step-by-step explanation:
The sum of interior angles is equal to 360°
9x - 4 + 8x + 2 + 13x + 30 + 19x - 11 = 360° add like terms
49x + 17 = 360 subtract 17 from both sides
49x = 343 divide both sides by 49
x = 7
replace x with the value we found to calculate each angle.
Answer:
Thus percentile lies between 53.3% and 55.6 %
Step-by-step explanation:
First we arrange the data in ascending order . Then find the number of the values corresponding to the given value. Then equate it with the number of observations and x and then multiply it to get the percentile. n= P/100 *N
where n is the ordinal rank of the given value
N is the number of values in ascending order.
The data in ascending order is
0.1 0.2 0.2 0.2 0.3 0.6 0.6 0.6 0.7 0.8 0.8 0.8 0.9 1.3
1.5 1.7 1.9 2.2 2.3 2.3 2.6 2.8 3.3 3.5 5.5 6.1 6.4 6.9 7.5 7.9 8.3 9.8 10.1 11.8 11.9 12.1 12.3 12.7 12.9 13.8 13.8 14.6 14.7 14.8 27.5
Number of observation = 45
4.9 lies between 3.3 and 5.5
x*n = 24 observation x*n = 25 observation
x*45= 24 x*45= 25
x= 0.533 x= 0.556
Thus percentile lies between 53.3% and 55.6 %
When you see the word 'and' that's where you have to put the decimal when writing a number in standard form.
So you would write this number as 17,000.106
Hope this helps. :)
Answer:
Step-by-step explanation:
1. Supplementary
2. complementary
3. neither
4. These two are vertically opposite so neither.
5. Supplementary
6. They add to 90 so they are complementary
7. They add to 180 so they are supplementary.
8. These 2 are equal and vertically opposite. They are neither for this exercise.
9. Complementary: they add to 90.
It will take 40 minutes.
To solve, divide 60 by 3. 60 is how many minutes there are in a minute. 3 is how long it takes to paint 2/5 of the room. We do not need to use the number 2/5 in this situation. Now back to 60 divided by 3. The answer is 20 minutes. Now multiply 20 by 2 to get 2/3 of an hour. Therefore, it takes 40 minutes to paint 2/5 of a room.
