can someone check my answers
subtract 7/9-(-13/19)=3/2
multiply
(4)(-3/2)=-6f
find the first and third quaritles q1 and q3 of the following set of numbers
13,4,12,16,8,14,8,3,10,8,
my answer 4:12
find the first and third quaritles q1 and q3 of the following set of numbers
.16,.08,.27,.20,.22,.32,.25,.18,.28,.27
my answer .18
;27
I can help you with checking your answers and solving these questions. Let's go through each question one by one.
1. Subtracting Fractions:
To subtract fractions, we need a common denominator. The common denominator of 9 and 19 is their product, which is 171. So, we rewrite the fractions with the common denominator:
7/9 - (-13/19) = 7/9 + 13/19.
Now, we can subtract the fractions by keeping the denominators the same:
(7 + 13) / 19 = 20/19.
Your answer of 3/2 is incorrect. The correct answer is 20/19.
2. Multiplying Fractions:
When multiplying fractions, we multiply the numerators together and the denominators together:
(4)(-3/2) = (4)(-3)/(2)(1) = -12/2 = -6.
Your answer of -6f is correct.
3. Finding the First and Third Quartiles:
To find the first and third quartiles, we need to order the set of numbers in ascending order.
Set of numbers: 13, 4, 12, 16, 8, 14, 8, 3, 10, 8.
After arranging these numbers in ascending order, we get: 3, 4, 8, 8, 8, 10, 12, 13, 14, 16.
To find the first quartile (Q1), we need to find the median of the lower half of the data set. In this case, the lower half is: 3, 4, 8, 8, 8.
The median of this lower half is the average of the two middle values, which are 4 and 8. So Q1 = (4 + 8)/2 = 12/2 = 6.
To find the third quartile (Q3), we need to find the median of the upper half of the data set. In this case, the upper half is: 10, 12, 13, 14, 16.
The median of this upper half is the average of the two middle values, which are 13 and 14. So Q3 = (13 + 14)/2 = 27/2 = 13.5.
Your answer of Q1 = 4 and Q3 = 12 is incorrect. The correct answer is Q1 = 6 and Q3 = 13.5.
4. Finding the First and Third Quartiles (Decimal Dataset):
To find the first and third quartiles, we need to order the set of numbers in ascending order.
Set of numbers: 0.16, 0.08, 0.27, 0.20, 0.22, 0.32, 0.25, 0.18, 0.28, 0.27.
After arranging these numbers in ascending order, we get: 0.08, 0.16, 0.18, 0.20, 0.22, 0.25, 0.27, 0.27, 0.28, 0.32.
To find the first quartile (Q1), we need to find the median of the lower half of the data set. In this case, the lower half is: 0.08, 0.16, 0.18, 0.20, 0.22.
The median of this lower half is the average of the two middle values, which are 0.18 and 0.20. So Q1 = (0.18 + 0.20)/2 = 0.38/2 = 0.19.
To find the third quartile (Q3), we need to find the median of the upper half of the data set. In this case, the upper half is: 0.25, 0.27, 0.27, 0.28, 0.32.
The median of this upper half is the average of the two middle values, which are 0.27 and 0.28. So Q3 = (0.27 + 0.28)/2 = 0.55/2 = 0.275.
Your answer of Q1 = 0.18 and Q3 = 0.27 is correct. Well done!