Answer: Area of ΔABC is 2.25x the area of ΔDEF.
Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

with a as side of the triangle.
Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:
a₁ = 1.2a
Then, its area is


Triangle DEF is 20% smaller than the original, which means its side is:
a₂ = 0.8a
So, area is


Now, comparing areas:

2.25
<u>The area of ΔABC is </u><u>2.25x</u><u> greater than the area of ΔDEF.</u>
Answer:
Area = 1250 square feet
Step-by-step explanation:
The formula for area of the bottom of the pool is given by:
Area = length× breadth
= 50 × 25
= 1250 square feet
<span>the difference between the largest and smallest data values in a data set.</span>
Answer with Step-by-step explanation:
We are given that
The probability that an American CEO can transact business in foreign language=0.20
The probability than an American CEO can not transact business in foreign language=
Total number of American CEOs chosen=12
a. The probability that none can transact business in a foreign language=
Using binomial theorem 
The probability that none can transact business in a foreign language=
b.The probability that at least two can transact business in a foreign language=
c.The probability that all 12 can transact business in a foreign language=
The probability that all 12 can transact business in a foreign language=
Answer:
13.2 minutes or 13 minutes 12 seconds.
Step-by-step explanation:
1. Count how much water drains the first pump every minute. Let the volume of pool be D. Every minute first pump drains D/11 water.
2. Working together(6 minutes) First pump drains 6D/11 water, hence the second pump drains 5D/11 water.
3.Count how much water drains second pump per minute -> (5D/11)/6= 5D/66
4. It takes the second pump 66 minutes to drain pool 5 times, thus it takes 13.2(66/5) minutes to drain the pool, which is 13 minutes 12 seconds.