Answer:
1) 2m + 3m2 - 4m=7
7) 3m2 – 2m + 4m= 11
8) 20 + 109 + 39 - 4= 164
3) 2m + 4m - 3m2= -3
9) 4xy + x + 2xy= 0
4) 2y + 14x - 7x + 9y= 18
10) 6m2 - 6m - 9m2= -51
Step-by-step explanation:
Answer:
0.05547
Step-by-step explanation:
Given :
_____Peter __ Alan __ Sui__total
Before 1838 __ 418 ___1475 _3731
After _ 1420 __ 329 ___1140_2889
Total _3258 __ 747 __ 2615 _6620
The expected frequency = (Row total * column total) / N
N = grand total = 6620
Using calculator :
Expected values are :
1836.19 __ 421.006 __ 1473.8
1421.81 ___325.994__ 1141.2
χ² = Σ(Observed - Expected)² / Expected
χ² = (0.00177817 + 0.0214571 + 0.000974852 + 0.00229642 + 0.0277108 + 0.00125897)
χ² = 0.05547
Answer:Area = 48.6 in²
Explanation:The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between the two sides)
This rule is illustrated in the attached image.
Now, we have:
first side = 13 in
second side = 7.5 in
The angle included between the two sides = 94 degrees
The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5 * 13 * 7.5 * sin(94)
Area of triangle = 48.63 which is approximately 48.6 in²
Hope this helps :)
Detetmine the next two terms in the sequence.
3, 16, 29, 42,
21, 25, 29, 33,
1, 2, 3, 5, 8, 1,
Determine the missing number in each sequence.
5,____, 10, 12 1/2
11, 5, 9, 4,____, 5, 2
40, ____, 37 1/3, 36
(7 + 5i) - ( -9 + i)
= 7 + 5i - (-9) - (i)
= 7 + 5i + 9 - i
= 16 + 4i
= 4i + 16