Using the empirical rule 68% would fall within one standard deviation of the mean.
The standard deviation is given as 2 inches and the mean is 49 inches.
Since it is only one standard deviation find the lower number by subtracting the standard deviation from the mean and find the higher number by adding the standard deviation to the mean.
49 - 2 = 47
49 + 2 = 51
68% would be between 47 inches and 51 inches tall.
Answer:
Simplified: C/2 -4
Step-by-step explanation:
the "/" means fraction
Answer: f(x) and g(x) are inverses of each other
<u>Step-by-step explanation:</u>
To find the inverse of a function, swap the x's and y's and then solve for "y"
f(x) = 5x + 2
y = 5x + 2
Swap:
x = 5y + 2
<u> -2 </u> <u> - 2 </u>
x - 2 = 5y
<u>÷5 </u> <u>÷5 </u>
****************************************************************
The required Angles are :
Look at one of the vertices of the heptagon where two squares meet. The angles within the squares are both of measure 90 degrees, so together they make up 180 degrees.
All the angles at one vertex must clearly add up to 360 degrees. If the angles from the squares contribute a total of 180 degrees, then the two remaining angles (the interior angle of the heptagon and the marked angle) must also be supplementary and add to 180 degrees. This means we can treat the marked angles as exterior angles to the corresponding interior angle.
Finally, we know that for any convex polygon, the exterior angles (the angles that supplement the interior angles of the polygon) all add to 360 degrees (recall the exterior angle sum theorem). This means all the marked angles sum to 360 degrees as well, so the answer is B.