Answer:
Total number of ways will be 20
Step-by-step explanation:
We have given three identical green shirts and three identical red shirts
So total number of shirts = 3+3 = 5
We have to distribute these shirts to 6 children so that each children got one shirt
Number of ways will be equal to 
( Here we divide by 3!3! because three green shirts and 3 red shirts are identical )
Answer:
Step-by-step explanation:
a) The formula for determining the standard error of the distribution of differences in sample proportions is expressed as
Standard error = √{(p1 - p2)/[(p1(1 - p1)/n1) + p2(1 - p2)/n2}
where
p1 = sample proportion of population 1
p2 = sample proportion of population 2
n1 = number of samples in population 1,
n2 = number of samples in population 2,
From the information given
p1 = 0.77
1 - p1 = 1 - 0.77 = 0.23
n1 = 58
p2 = 0.67
1 - p2 = 1 - 0.67 = 0.33
n2 = 70
Standard error = √{(0.77 - 0.67)/[(0.77)(0.23)/58) + (0.67)(0.33)/70}
= √0.1/(0.0031 + 0.0032)
= √1/0.0063
= 12.6
the standard error of the distribution of differences in sample proportions is 12.6
b) the sample sizes are large enough for the Central Limit Theorem to apply because it is greater than 30
Answer:
x=21
Step-by-step explanation:
100+3x+x-4=180
100+4x-4=180
96+4x=180
4x=180-96
4x=84
x=21
Answer:
A coordinate system,or Coordinate plain ,is used to locate points in a 2-dimensional plane.
explanation:
A coordinate plain is formed by the intersection of two lines.One line is vertical and the other is horizontal.The vertical line is called y- axis and the horizontal line is called x-axis. It is two dimensional plane,which means it has length and breadth but no depth.The point where both the lines intersect is called the point of origin.Any point can be located on the coordinate plain by numbers(x,y). These pair of numbers are called coordinates.
It is used to plot points and lines.This system explains algebraic concepts .it has four equal divisions called quadrants namely I ,II,III,IV.
Option c is correct. Use special right triangles and you will findout why. Hint:Use the 45-45-90 special right triangle's properties.
