A square is a type of quadrilateral.
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%
Answer: chicken $8, duck $5
Explanation:
x - the cost of a chicken
y - the cost of a duck
he sold 50 chickens and 30 ducks for $550: 50x + 30y = 550
he sold 44 chickens and 36 ducks for $532: 44x + 36y = 532
50x + 30y = 550 divide by 10
44x + 36y = 550 divide by 4
______________
50x/10 + 30y/10 = 550/10
44x/4 + 36y/4 = 532/4
______________
5x + 3y = 55
Multiply by (-3)
11x + 9y = 133
______________
5x * (-3) + 3y * (-3) = 55 * (-3)
11x + 9y = 133
______________
-15x - 9y = -165
11x + 9y = 133
______________
Sum up:
-4x + 0y = -32
-4x = -32
x = -32/-4
x = 8
Since 5x + 3y = 55 and x = 8, then:
5 * 8 + 3y = 55
40 + 3y = 55
3y = 55 - 40
3y = 15
y = 15/3
y = 5
An exponential function displays either a growth or decay behavior going from a low steep to a high steep.
Answer:
1.05(0.85y)
Step-by-step explanation:
15% off so .85y and a 5% tax so 1.05(.85y)
