The graph of x and y = 4 is symmetric with respect to the line x = y.
Therefore, the answer is the second option shown above, which is:
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the line y = x</span>
Below is a graph where you can see the symmetry of xy = 4 with respect to the oblique axis x = y. This axis cuts the curves just at its apex
Answer:
And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613
Step-by-step explanation:
The estimated proportion of interest is 
We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by 
and 
. And the critical value is:
The confidence interval for the true population proportion is interest is given by this formula:
Replacing the values provided we got:
And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613
(y + z)³ ( i believe you were trying to do the expression to the power of 3)
(y + z)³ = (y + z)(y + z)(y + z)
Use the FOIL method:
(y + z)(y + z) = y² + yz + yz + z²
Simplify
y² + 2yz + z²
plug in the answer gotten back into the expression
(y² + 2yz + z²)(y + z)
FOIL again, distribute each number to the other.
y²(y) = y³
y(2yz) = 2y²z
y(z²) = yz²
y²(z) = y²z
2yz(z) = 2yz²
z(z²) = z³
2y²z + 2yz² + y³ + z³ + y²z + yz²
Simplify: add all like variables
2y²z + y²z = 3y²z
2yz² + yz² = 3yz²
3y²z + 3yz² + y³ + z³ is your answer, or <span>y^3 + 3y^2z + 3yz^2 + z^3
hope this helps</span>
Answer:
314 inches³
Step-by-step explanation:
The area of a cone is πr²h/3. We need to find the height and radius of the cone. The height is 12 inches. radius * 2 = diameter.
Radius * 2 = Diameter
/2 /2
Radius = 1/2* Diameter
Radius = 5 inches
We substitute it in:
3.14 * 5² * 12/3:
3.14*25*4
314 inches³
2b) stretching
2c) it is stretched by a factor of 2 of the parent function f(x)=x
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