Answer:
The correct option is 4.
Step-by-step explanation:
Given information:
Bring lunch : 46 males, 254 females
Buy lunch : 176 males, 264 females
Total number of peoples is

Total number of males is

The probability of male is

Since probability of males is 0.3, therefore options A and C are incorrect.
Total number of persons who buys lunch is

The probability of persons who buys lunch is

We need to find the probability of P(male | buys lunch).
According to the conditional probability, we get

P(male | buys lunch)
P(male | buys lunch)
P(male | buys lunch)
Therefore the correct option is 4.
Answer:
C. 325.
Step-by-step explanation:
The last term a5 = 85
a1 = 45
Sum of n terms = n/2 (a1 + l)
So here we have n = 5, a1 = 45 and the last term l = 85
= (5/2)(45 + 85)
= 5/2 * 130
= 325.
<h2>Explanation:</h2>
Let's take a look at all of our options.
A. it is also a square
- A rectangle is NOT <em>always </em>a square because a square has congruent sides, so that means all four of its sides are <em>always </em>equal.
- A rectangle <em>can </em>be a square but it can also not be a square, so therefore A cannot be an option because it is not always true about a rectangle.
B. the sum of its angle measures is 360
- This is true because every quadrilateral's angle measures will add up to 360 degrees, no matter what. This is like how a triangle's angle measures always add up to 180 degrees.
- B is an option because it is an ALWAYS true statement.
C. it has four congruent angles
- A rectangle always has 90 degree angles, giving it its shape.
- Since a rectangle always has the same-degree angles, that means that it DOES have four congruent angles.
- C is also an option because it is always true.
D. it has four congruent sides
- A rectangle does not ALWAYS have four congruent sides. Say for example a rectangle has a longer length than its width.
- A square has four congruent sides, but a rectangle is not always a square, therefore this option is not applicable for a rectangle since it is not always true.
<h2>Answers:</h2>
B and C are always true of a rectangle.
Answer:
Option C. Independent Variable: time, Dependent Variable: net profit
Graph starts out rising and starts falling mid-year. At the beginning of 2006 it is at the minimum value and begins rising again before staying at a fairly constant rate for the remainder of the year
Step-by-step explanation:
In this problem
Let
x------> the time
y-----> the net profit
we know that
The independent variable is the time (variable x)
The dependent variable is the net profit (variable y)
see the attached figure to better understand the problem
Answer:
-7
Step-by-step explanation:
They both are perpendicular lines. Which means that their slopes are opposite reciprocals.