Answer:
Below in bold.
Step-by-step explanation:
f(x) = -x^2 + 10x - 17
Convert to vertex form by:
f(x) = -(x^2 - 10x) - 17
= - [(x - 5)^2 - 25] - 17
= -(x - 5)^2 + 25 - 17
= -(x - 5)^2 + 8,
a. So axis of symmetry is x = 5.
b. Vertex is (5, 8) Max.
c. Domain is All real x.
d. Range is (-∞, 8].
The difference 96 -80 = 16 is a factor of both numbers, so is the greatest common factor.
96 + 80 = 16*(6 + 5)
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:x = 8, y = 5
Step-by-step explanation:The sum of two numbers is 13. Two times the first number minus three times the second numberis 1. If you let x stand for the first number and y for the second number, the two numbers are: A. x = 8, y = 5
