Answer:
36.
Step-by-step explanation:
We are asked to find the number of ways in which 3 girls can divide 10 pennies such that each must end up with at least one penny.
The selection can be done by selecting two dividing likes between the 10 pennies such that the set is divided into three parts.
Since each girl must have one penny, so no girl can have 0 penny. So the dividing like cannot be placed at end points, beginning and at the end. Therefore, we are left with 9 positions.
Now we need to find number of ways to select two positions out of the 9 positions that is C(9,2).
Therefore, there are 36 ways to divide 10 pennies between 3 girls.
Answer:
x - 6
Step-by-step explanation:
Step-by-step explanation:
Before we proceed, we must understand that we are dealing with a system of right angled triangles.
There are two types of right angle triangles';
45° - 45° - 90° 30° - 60° - 90°
In 45° - 45° - 90°, the adjacent is equal to the opposite
30° - 60° - 90°, there are three different sides
The longest side faces 90°, the shortest side will face the smallest angle and the intermediate will face 60°
A.
To find AB, use Pythagoras theorem;
AB² = AC² + BC²
AB² = 13² + 4²
AB² = 169 + 16 = 185
AB = √185 = 13.6
AB = 13.6
Angle A = 30°
Angle B = 60°
B.
AB² = BC² + AC²
The unknown is AC;
AC² = AB² - BC²
AC² = 5² - 4²
AC² = 9
AC = √9 = 3
Angle A = 60°
Angle B = 30°
C.
AB² = AC² + BC²
Insert the parameters and find AC;
AC² = AB² - BC²
AC² = 11² - 4.4²
AC² = 101.64
AC = √101.64
AC = 10.1
Angle A = 30°
Angle B = 60°
AC = 13
Answer:
b. To increase the accuracy of the research and prevent skewness in the idea.
Step-by-step explanation:
Random assignment ensures that any difference between groups recorded at the end of an experiment can be attributed to the experimental procedures. It refers to how you arrange the participants into required groups (different treatment and control groups). In the case of non-random assignment, the two major problems are generalisation of results and bias, which could lead to skewness in the idea of the experiment.
One of the importance of random assignment in this given experiment is to increase the accuracy of the research and prevent skewness in the idea.
-3(-x)-6=-3x+10
-3 -3
(-x)-6=-3x+7
-6 -6
(-x)=-3x+1
i only got this far!! im so sorry!!
