Answer:
- <u><em>P(M) = 0.4</em></u>
Explanation:
<u>1. Build a two-way frequency table:</u>
To have a complete understanding of the scenary build a two-way frequency table.
Major in math No major in math Total
Major in CS
No major in CS
Total
Major in math No major in math Total
Major in CS
No major in CS
Total 200
- <u>80 plan to major in mathematics:</u>
Major in math No major in math Total
Major in CS
No major in CS
Total 80 200
- <u>100 plan to major in computer science</u>:
Major in math No major in math Total
Major in CS 100
No major in CS
Total 80 200
- <u>30 plan to pursue a double major in mathematics and computer science</u>:
Major in math No major in math Total
Major in CS 30 100
No major in CS
Total 80 200
- <u>Complete the missing numbers by subtraction</u>:
Major in math No major in math Total
Major in CS 30 70 100
No major in CS 100
Total 80 120 200
Major in math No major in math Total
Major in CS 30 70 100
No major in CS 50 50 100
Total 80 120 200
<u>2. What is P(M), the probability that a student plans to major in mathematics?</u>
- P(M) = number of students who plan to major in mathematics / number of students
<u>Answer:</u>
- $2,800 = Principle + Interest
<u>Step-by-step explanation:</u>
Using PRT/100, let's find the interest.
- => 2,000 x 8 x 5/100
- => 20 x 8 x 5
- => $800
<u>Conclusion: </u>
Therefore, the interest plus principle is 2,000 + 800, which is $2,800.
Hoped this helped.

Answer:
$3089.4
Step-by-step explanation:
A circle is a locus of a point such that its distance from a point known as the center is always constant.
The area of a circle is given by the formula:
Area = πr²; where r is the radius of the circle.
From the image attached, we can see that the garden is circular with a radius of 5.5 yard. Hence:
Amount of mulch needed to cover garden = area of garden = πr² = π(5.5)² = 95 yd²
Since mulch cost $32.52 per square yard, hence:
Cost of mulch needed = $32.52 per yd² * 95 yd² = $3089.4
Answer:

Step-by-step explanation:
Given:
The equation of the known line is:

A point on the unknown line is (-4, 4)
Now, since the two lines are parallel, their slopes must be equal.
Now, slope of the known line is the coefficient of 'x' which is
.
Therefore, the slope of the unknown line is also 
Now, for a line with slope 'm' and a point on it
is given as:

Here,
. Therefore,

Hence, the equation of the unknown line is
.
It can be called an acute triangle, an isosceles triangle, or equiangular triangle (equilateral triangle)