Answer:
p = 0.52392
Step-by-step explanation:
Here we have
p = 23% = 0.23
= 208/800 = 0.26
n = 800
q = 1-p = 0.77
α = 5% = 0.05
Here we have
Z test given by
From which we have
From the Cpdf we have Probability = 0.0219, z = 2.016
Therefore from the z score = 0.0683, p = 0.52392 from z table.
Assuming the frequency be the numbers of people, the greatest number of people should be 8, and they drank 6 glasses.
Answer:
x=4
Step-by-step explanation:
16 divided by 4 is 4
Answer:
Rectangular area as a function of x : A(x) = 200*x + 2*x²
A(max) = 5000 m²
Dimensions:
x = 50 m
l = 100 m
Step-by-step explanation:
"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:
A(r) = x* l and the perimeter of the rectangular shape is
P = 2*x + 2*l but we won´t use any fencing material along the wll of the barn therefore
P = 2*x + l ⇒ 200 = 2*x + l ⇒ l = 200 - 2*x (1)
And the rectangular area as a function of x is:
A(x) = x * ( 200 - 2*x) ⇒ A(x) = 200*x + 2*x²
Taking derivatives on both sides of the equation we get:
A´(x) = 200 - 4*x ⇒ A´= 0
Then 200 - 4*x = 0 ⇒ 4*x = 200 ⇒ x = 50 m
We find the l value, plugging the value of x in equation (1)
l = 200 - 2*x ⇒ l = 200 - 2*50 ⇒ l = 100 m
A(max) = 100*50
A(max) = 5000 m²
