Answer:
-8/3
Step-by-step explanation:
By AAS congruency the two triangles are congruent
Answer:
A general exponential equation is written as:
f(x) = A*(r)^x
Where:
A is the initial value, this is the value that the function takes when x = 0.
r is the rate of growth
x is the variable.
In this case, the function is:
f(x) = 2*(4)^x
The initial value is:
f(0) = 2*(4)^0 = 2*1 = 2
The initial value is 2.
And the rate of growth is 4.
So Martin seems to mixed these two values (he said initial value = 4, and rate = 2, which is the opposite of what we found)
The probability would be 0.9738.
We first find the z-score for each end of this interval:
z = (x-μ)/(σ/√n) = (100-110)/(18/√49) = -10/(18/7) = -3.89
z = (x-μ)/(σ/√n) = (115-110)/(18/√49) = 5/(18/7) = 1.94
Using a z-table (http://www.z-table.com) we see that the probability that a score is less than the first z-score is 0. The probability under the curve to the left of, less than, the second z-score is 0.9738. Subtracting these we find the area between them:
0.9738 - 0 = 0.9738.
Answer: 78.5 units^2
Step-by-step explanation:
The area of the circle is equal to pi*radius^2.
The diameter is double the radius, which means the radius is 10/2 = 5.
Therefore, the area is pi*5^2 = 25pi.
We use 3.14 for pi and we get 25*3.14 = 78.5 units^2