Answer:
The other prime number is 2.
Step-by-step explanation:
Prime factorization of a cube of a certain number and a square of 5
The number we dont know is x, so we have:

The product is 200. What is the other prime number?
So



![x = \sqrt[3]{8}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7B8%7D)

The other prime number is 2.
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:
x = -16/3
Step-by-step explanation:
Step-by-step explanation:
X=y-5
Now,
4x-y=4
4(y-5)-y=4
4y-20-y=4
3y=24
Y=8
Substituting the value of y
8-5=x
X=3
Answer:
see attached
Step-by-step explanation:
This is asking you to recognize the symbols used to designate a point, line segment, ray, angle, line, and plane.
The point is designated by its letter.
A line segment is designated by the letters of its endpoints, with an overline.
A ray is designated by the endpoint and a point on the ray. The endpoint is listed first. The letters have an arrow over them pointing in the direction from the endpoint.
An angle is designated using the symbol ∠. If three letters are used to identify the angle, the middle one is the vertex.
A line is designated using its name, or by the letters of two points on the line. If the letters are used, there may be a double-ended arrow over them.
A plane is designated by 3 non-collinear points, for example, "plane ABC". It may also be designated by the name of the plane.