Answer:
The correct option is;
Increasing one fifth unit/sec
Step-by-step explanation:
The equation that gives the curve of the particle of the particle is y = 5·x² - 1
The rate of decrease of the y value dy/dt = 2 units per second
We have;
dy/dx = dy/dt × dt/dx
dy/dx = 10·x
dy/dt = 2 units/sec
dt/dx = (dy/dx)/(dy/dt)
dx/dt = dy/dt/(dy/dx) = 2 unit/sec/(10·x)
When x = 1
dx/dt = 2/(10·x) = 2 unit/sec/(10 × 1) = 1/5 unit/sec
dx/dt = 1/5 unit/sec
Therefore, x is increasing one fifth unit/sec.
ok ... in this situation... we need to find the area of the rectangle first as it is equal to the area of square .
so .... area of rectangle = l×b= 16×4
= 64 ∴area of square = 64
area of square = s×s
∴to find one side of the square ... we need to find the root of 64 = 8
∴one side = 8
now : perimeter of square : 4 × sides = 4 × 8 = 32 ║
Can you please add the graph, plus the question?
When reflecting over y = -x
The x and y values change places and the signs change.
(-2,5) becomes (-5,2)
Answer:
a. Yes. This provides convincing evidence that the true proportion of all attendees who ate the fish that got sick (80%) is more than the true proportion of all attendees who did not eat the fish that got sick.
b. The mistake here would have been the rejection of the Doctor's theory or hypothesis to the effect that more attendees who ate the fish got sick than those who did not eat the fish. This is a Type 1 error. A Type 1 error occurs when a null hypothesis is rejected when it is true. On the other hand, a Type II error occurs when the null hypothesis is accepted when it should be rejected. While a Type I error is equivalent to a false positive, a Type II error is equivalent to a false negative.
Step-by-step explanation:
Total number of attendees who ordered fish = 1,000
Sample size of the attendees who ate fish = 80
Number of attendees who ate the fish and got sick = 64 (80% or 64/80)
Sample size of attendees who did not eat fish = 60
Number of attendees who did not eat fish and got sick = 39 (65% or 39/60)
