Answer: length = 8 units
Width = 2 units
Step-by-step explanation:
Let the length of the rectangle be represented by L
Let the width of the rectangle be represented by W
The sum of 5 times the width of a rectangle and twice its length is 26 units. This means that
5W + 2L = 26 - - - - - - - - 1
The difference of 15 times the width and three times the length is 6 units. It means that
15W - 3L = 6 - - - - - - - - 2
The system equations are equation 1 and equation 2.
Multiplying equation 1 by 3 and equation 2 by 2, it becomes
15W + 6L = 78
30W - 6L = 12
Adding both equations,
45W = 90
W = 90/45 = 2
15W - 3L = 6
15×2 - 3L = 6
-3L = 6 - 30 = - 24
L = - 24/ -3 = 8
Answer:
Pvalue = 0.193
There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%
Step-by-step explanation:
H0 : p = 0.4
H1 : p < 0.4
Test statistic :
z=pˆ−p/√p(1−p)/n
pˆ = 74 / 200 = 0.37
Z = (0.37 - 0.40) / √(0.40(1 - 0.40) / 200
Z = - 0.03 / √0.0012
Z = - 0.03 / 0.0346410
Z = - 0.866
Test statistic = -0.866
The Pvalue :
P(Z < -0.866) = 0.193
α - level = 0.05
If Pvalue < α ; Reject H0
Since Pvalue > α ; There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%
Since figure t is twice the size of figure s, figure t would be twice the size of s. hence the answer would be a scale factor of 2.
X + 3 = 8
x = 8 - 3
x = 5 <=
