To find this answer you would use the formula for finding the volume of a cylinder. Because both of these cylinders are congruent, the area of the base for cylinder A I would also be the same area for cylinder B. V=pi x r^2 x h. When we substitute in what we know this is the new equation: 27 x pi = pi x r^2 x 3. Divide both sides by three and pi. This gives us 9 = r^2. Take the square roots of both sides to find the radius. The answer would be 3. Now use the formula for area of a circle to find the area of the base of cylinder B. A= pi x r^2. So the area would be 9 x pi.
Answer:
g(x)=−4x^2 and m(x)=4x^2
Step-by-step explanation:
A horizontal stretch or shrink happens when you multiply the parent function (in this case f(x) = x²) by a number. If this number is between 0 and 1, the graph will be stretched horizontally. If this number is greater than 1, the graph will be shrunk horizontally. If the number is between -1 and 0, the graph will be stretched horizontally and flipped; if the number is less than -1, the graph will be shrunk horizontally and flipped.
The graphs that are horizontally shrunk are steeper than the others. This is m(x)=4x^2 and g(x) = -4x^2.
Answer:
B. trapezoid
Step-by-step explanation:
The other three have two pairs of parallel sides
In this case, we can use the z statistic to find for the proportion
of students who failed the exam. The formula for z score is given as:
t = (x – u) / s
where,
x = the sample score = 60
u = sample score mean = 82
s = standard deviation = 11
Substituting all given values into the equation:
t = (60 – 82) / 11
t = - 2
Based from the standard proportion distribution tables for
z, this corresponds to:
P = 0.0228
This means that 2.28% of the students failed the exam or
equivalent to:
failed students = (0.0228) * 85 = 1.938
<span>approximately 2 students failed the exam</span>
Answer:
24
Step-by-step explanation:
