The geometric mean of 8 and 253 is;
<h3>Geometric mean of numbers</h3>
According to the question;
- The task requires that the geometric mean of 8 and 253 be determined.
The geometric mean of a two numbers is the square root the product of the he numbers.
Hence, in this scenario;
The geometric mean of 8 and 253 is;
G.M = 45.
Ultimately, the geometric mean of 8 and 253 is approximately 45.
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brainly.com/question/23483761
We are given (xy)^(-3).
This leads to 1/(xy)^3.
You see, going from the top to the bottom alters the sign of the exponent to its opposite.
ANSWER: 1/(x^3•y^3)
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Answer:

Step-by-step explanation:
we know that
The surface area of the figure is equal to the lateral face of the triangular pyramid plus the lateral face of the rectangular prism plus the area of the base of the rectangular prism
step 1
Find the lateral face of the triangular prism
The lateral area is equal to the area of its four lateral triangular faces

step 2
Find the lateral area of the rectangular prism
The lateral area is equal to the perimeter of the base multiplied by the height

step 3
Find the area of the base of the rectangular prism

step 4
Find the surface area

Answer:
The probability that at least 280 of these students are smokers is 0.9664.
Step-by-step explanation:
Let the random variable <em>X</em> be defined as the number of students at a particular college who are smokers
The random variable <em>X</em> follows a Binomial distribution with parameters n = 500 and p = 0.60.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:
1. np ≥ 10
2. n(1 - p) ≥ 10
Check the conditions as follows:

Thus, a Normal approximation to binomial can be applied.
So,

Compute the probability that at least 280 of these students are smokers as follows:
Apply continuity correction:
P (X ≥ 280) = P (X > 280 + 0.50)
= P (X > 280.50)

*Use a <em>z</em>-table for the probability.
Thus, the probability that at least 280 of these students are smokers is 0.9664.
Answer: if Gregory draws the segment with endpoints A and A’, then the midpoint will lie on the line of reflection.
Explanation:
Given that a triangle ABC is reflected in triangle A'B'C'
Here reflection is done on a line
If you imagine the line as a mirror then ABC will have image on the mirror line as A'B'C'
Recall that in a mirror the object and image would be equidistant from the mirror and also the line joining the image and object would be perpendicular to the mirror
But note that corresponding images will only be perpendicular bisector to the line
So A and A' only will be corresponding so AA' will have mid point on line
Option 1 is right