Answer: 42.14 cm^2
square:
Area of a square=s^2
A=14^2
A=196
circle (the two semi circles are the same as one circle):
Area of a circle=(pi)(r)^2
divide 14 (diameter) by 2 to find the radius
A=(3.14)(7)^2
A=(3.14)(49)
A=153.86
subtract the area of the two semi circles from the area of the square to get the answer
196-153.86=42.14
Answer: a) 0.6141
b) 0.9772
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
The formula for z -score :
a) Sample size = 1
For x= 63 in. ,
The p-value = 
Thus, the probability is approximately = 0.6141
b) Sample size = 47
For x= 63 ,
The p-value = 
Thus , the probability that they have a mean height less than 63 in =0.9772.
Notice that we need to look for the intervals of x and also for the intervals of y.<span> We can observe that t</span>here is a minimum between x = 0 and x = 1 because the graph is descending and then ascending and also the graph has a maximum value between y = -3 and y = -1.
Answer:
H
Step-by-step explanation:
If it was the first two, it would be to small of an angle.
If it were the last two it would be a straight line.
35 degrees is the only possible one.
The area of a triangle can be calculated using the formula
1/2 (base) (height)
Let's substitute our known values, letting x represent the value of the height of the triangle.
16 = 1/2* x* 2x
Let's Simplify!
16 = x^2
Finally, lets take the square root of both sides, to get rid of the exponent on the right side of the equation.
x= positive OR negative 4.
However, because x is equal to the height, we know that it can't be negative, so we know that it is positive 4.
The height of the triangle = 4 inches
The base of the triangle = 2h = 8 inches
