Answer:
Hello there! :) This is not a random sample becuase the 54 students are'nt chosen at random.
Step-by-step explanation:
These students are pre-chosen by Mr. Kent, meaning that he could have biased whatever he was interviewing them on. And it does not mention anything like, the first 54 students to leave or the last 54 students to leave. I hope this helps!
Lateral Area of a cylinder is ; 2πR.H
R=12 mm and H= 15 mm
Then LATERAL area = 2π(12)(15) =48π ≈ 150 mm²
The fraction that should be removed is 1/5.
<h3>How to calculate the fraction?</h3>
It should be noted that from the information, 40% of the coins are 20-cent coins and the rest are 50-cent coins. Those that are 50 cent will be:
= 100 - 40%
= 60%
The fraction that's should be removed will be:
= 2/5 - x = 1/5
x = 2/5 - 1/5
x = 1/5
The fraction that should be removed is 1/5.
Learn more about fractions on:
brainly.com/question/17220365
#SPJ1
The answer can be readily calculated using a single variable, x:
Let x = the amount being invested at an annual rate of 10%
Let (8000 - x) = the amount being invested at an annual rate of 12%
The problem is then stated as:
(x * 0.10) + ((8000 - x) * 0.12) = 900
0.10(x) + ((8000 * 0.12) - 0.12(x)) = 900
0.10(x) + 960 - 0.12(x) = 900
0.10(x) - 0.12(x) = 900 - 960
-0.02(x) = -60
-0.02(x) * -100/2 = -60 * -100/2
x = 6000 / 2
x = 3000
Thus, $3,000 is invested at 10% = $300 annually; and $8,000 - $3,000 = $5,000 invested at 12% = $600 annually, which sum to $900 annual investment.
Answer:
A
Step-by-step explanation:
The perimeter is more since the shape gained many new sides but the area is less because the rectangle lost a little square
