Answer:
2,457 mm^2
Step-by-step explanation:
The dimensions of each of the triangles in terms of their bases and heights will be;
26 mm by 27 mm
Mathematically, the area of one of the triangles will be ;
1/2 * base * height
= 1/2 * 26 * 27 = 351 mm^2
So the area of the heptagon is the sum of the areas of all of the triangles
mathematically, that would be;
351 * 7 = 2,457 mm^2
Answer:
Step-by-step explanation:
x = -4 and x=1
The solutions to the equation x^2 +3x -4 = 0 will be given by the points at which the graph intercepts the x-axis.
By looking at the graph, we can clearly see that the graph intercepts the x-axis at x=-4 and x=1.
One of the roots is located between -4 and -3, and the other one between 0 and 1.
Answer: (7.27%, 7.55%)
Step-by-step explanation:
As per given , we have
Sample size : n= 392
Sample mean : 

Critical two-tailed z-value for 95% confidence = 
Required confidence interval would be :

Hence, the required 95% confidence interval for the mean percentage share of billing volume from network television for the population of all U.S. advertising agencies : (7.27%, 7.55%)
Answer: -10
Step-by-step explanation:
Simplifying
-3(y + 5) = 15
Reorder the terms:
-3(5 + y) = 15
(5 * -3 + y * -3) = 15
(-15 + -3y) = 15
Solving
-15 + -3y = 15
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + -3y = 15 + 15
Combine like terms: -15 + 15 = 0
0 + -3y = 15 + 15
-3y = 15 + 15
Combine like terms: 15 + 15 = 30
-3y = 30
Divide each side by '-3'.
y = -10
Simplifying