Answer:
23) 36·(3·1/4) = 36·(3/4) = 108/4 = 27
24) (4·2/7)·21 = (8/7)·21 = 168/7 = 24
25) 2(x+4) = 2x+8
26) (5+n)3 = 15+3n
27) (4-3m)8 = 32-24m
28) -3(2x-6) = -6x+18
29) 13r+5r = 18r
30) 3x³-2x²
31) 7m+7-5m = 2m+7
32) 5z²+3z+8z² = 3z+13z²
33) (2-4n)17 = 34-68n
34) 11(4d+6) = 44d+66
35) 7m+2m+5p+4m = 13m+5p
36) 3x+7(3x+4) = 3x+21x+28 = 24x+28
37) 4(fg+3g)+5g = 4fg+12g+5g = 4fg+17g
38) (5m)²+(m+5)²= 26m²+10m+25
39) 7(a²+b)-4(a²+b) = 3(a²+b) = 3a²+b
Answer: Answer:Median: 10.5Lower quartile: 4Upper quartile: 16Explanation:Median:First, write the observations in ascending order or descending order.The formula to calculate the median is mean of (n/2) and (n/2+1)th observations, for even number of observationsn = 12 (even)Median = Mean of (6)th and (7)th observations = 10 + 11 divided by 2 = 21/2 = 10.5Therefore the median is 10.5.After writing in ascending or descending order the first and last terms justify the lower and upper limits respectively.They are:Lower quartile: 4Upper quartile: 16Question 2.the lengths of 10 pencils, in centimeters:18, 15, 4, 9, 14, 17, 16, 6, 8, 10Type below:_________________Answer:Median: 12Lower quartile: 4Upper quartile: 18Explanation:Median:First, write the observations in ascending order or descending order.The formula to calculate the median is mean of (n/2) and (n/2+1)th observations, for even number of observationsn = 10 (even)Median = Mean of (5)th and (6)th observations = 10 + 14 divided by 2 = 24/2 = 12Therefore the median is 12.After writing in ascending or descending order the first and last terms justify the lower and upper limits respectively.They are:Lower quartile: 4Upper quartile: 18Question 3.Make a box plot to display the data set in Exercise 2.Type below:_________________Answer:The above box plot represents the lower and upper quartiles, the median.Explanation:Box plot is drawn using the number line and the rectangle which is drawn above it.The ends of the rectangles say about the lower and upper limits and the middle line indicates the median.Question 4.The numbers of students on several teams are 9, 4, 5, 10, 11, 9, 8, and 6. Make a box plot for the data.Type below:_________________Answer: Explanation:Box plot is drawn using the number line and the rectangle which is drawn above it.The ends of the rectangles say about the lower and upper limits and the middle line indicates the median.Therefore the lower and upper quartiles are 4 and 11 respectively.Median:First, write the observations in ascending order or descending order.The formula to calculate the median is mean of (n/2) and (n/2+1)th observations, for even number of observationsn = 8 (even)Median = Mean of (4)th and (5)th observations = 8 + 9 divided by 2 = 17/2 = 8.5Therefore the median is 8.5.
Step-by-step explanation:
5x^2y is the answer which leaves you with 3y^2 and -4xz
Answer:
Step-by-step explanation:
The area = 252 in²
One side = 14 in
The other side = x
The area of a rectangle is a product of 2 sides
- 14x = 252
- x = 252/14
- x = 18 in
If you would like to know what is the solution for the system of equations, you can calculate this using the following steps:
y - x = - 3
y + x = 3
_______________
y - x + y + x = - 3 + 3
2y = 0
y = 0
<span>y - x = - 3
</span>0 - x = - 3
x = 3
(x, y) = (3, 0)
The correct result would be D. (3, 0).
