Z=4t-5
z+t=180
z= 180-t
4t,-5=180-t
5t=185
t=37
180-37=z = 143
Answer:
It would be significant
Step-by-step explanation:
Population proportion of consumers who recognize the company name = 68% = 0.68
If 634 consumers out of the 800 randomly selected consumers recognize the company name, sample proportion = 634/800 = 0.7925.
It is significant to get 634 because the sample proportion of consumers who recognize the company name is greater than the population proportion.
Answer:
(0,-2)
Step-by-step explanation:
substitute in 0 for x
and solve for y
Answer:

Step-by-step explanation:
<u>Given equation</u>:

This is an equation for a horizontal hyperbola.
<u>To complete the square for a hyperbola</u>
Arrange the equation so all the terms with variables are on the left side and the constant is on the right side.

Factor out the coefficient of the x² term and the y² term.

Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:


Factor the two perfect trinomials on the left side:

Divide both sides by the number of the right side so the right side equals 1:

Simplify:

Therefore, this is the standard equation for a horizontal hyperbola with:
- center = (1, 2)
- vertices = (-2, 2) and (4, 2)
- co-vertices = (1, 0) and (1, 4)


Answer:
r is 14/2=7 inches, just use circle area formula πr^2 then divide by 2