Answer:
Length = 17 cm
Width = 8 cm
Step-by-step explanation:
Let the length be x cm
Therefore, Width = (x - 9) cm
Perimeter of rectangle = 2(l +w)
50 = 2[x + (x - 9)]
50/2 = 2x - 9
25 = 2x - 9
25+ 9 = 2x
2x = 34
x = 34/2
x = 17 cm
x - 9 = 17 - 9 = 8 cm
Therefore,
Length = 17 cm
Width = 8 cm
Thus, the dimensions of the rectangle are 17 cm and 8 cm.
The Answer to your problem is:
0.8
Answer: the smallest number of people required for the sample to meet the conditions for performing inference is 100
Step-by-step explanation:
Given that;
36% of US population has never been married
32% are divorced
27% are married
5% are widowed
Taking a simple random sample of individuals to test this claim;
we need expected count in each cell to be at least 5, here the smallest proportion is 5% = 0.05
so we only need to satisfy condition for its expected count;
n × 0.05 ≥ 5
n = 5 / 0.05 = 100
Therefore the smallest number of people required for the sample to meet the conditions for performing inference is 100
Answer:
y = 8x + 4
Step-by-step explanation:
y=mx+b
m=8
y = 8x + b
We just need to find b. B is where the line intersects the y- axis. On the y-axis by definition, the x-coordinate =0 but that is not helpful now...
Let's re write and try to solve for b. That means write as b = ...
y = 8x + b
b = y - (8x)
Substitute for x and y the numbers of the coordinates of the given point (3,28):
b = y - (8*x)
b = 28 - (8*3)
b = 28 - 24
b = 4
So the answer is y = 8x + 4