Answer:
0.63043
Step-by-step explanation:
Given that :
Mean = 225
Standard deviation = 45
P(x > 210) : (x - mean) / standard deviation
P(x > 210) = (210 - 225) / 45
P(x > 210) = - 0.333
P(Z > - 0.333) = 0.63043 (Z probability calculator)
<span>The Selected correct answers are.
Circle Q is a dilation of circle P with a scale factor of 7.
Circle Q is a translation of circle P, 6 units up.</span>
Answer:
The growth rate is 0.6
The growth factor is 1.6
Step-by-step explanation:
Generally, the exponential equation can be written as;
y = a(1 + r)^x
Where a is the initial value of 100
r is the growth rate
So let us form equations;
160 = 100(1 + r)^1 •••••(i)
Also;
256 = 100(1 + r)^2 •••••••(ii)
Divide equation ii by i
256/160 = 1 + r
1.6 = 1 + r
r = 1.6-1
r = 0.6
Answer:
The area of the triangle is 10 square units.
Step-by-step explanation:
The formula for area of a triangle is A = 
bh.
The problem gives us this information:
b = 4 units
h = 5 units
You can use the formula and plug the numbers into the equation to find your answer of 10 square units.
A. Given (This is part of the original problem)
b. Supplementary angles form 180 degrees (The definition of supplementary angles is that two or more angles have a sum of 180 degrees. DC is a straight line and has a measure of 180 degrees)
c. Substitution (Given the two previous statements, they are each equal to 180 degrees. Since 180=180 then you can substitute the angles in the equation.)
d. Subtraction (m<2 is being subtracted)
e. Subtraction postulate (Since the same quantity was being subtracted from each side of the equation, they are still equal)
