Answer:
Least positive integer divisible by the numbers 2, 4, and 7 is 28
Step-by-step explanation:
We can find the least positive integer divisible by the numbers 2, 4, and 7 by taking the LCM
First lets List all prime factors for each number.
Prime Factorization of 2
2 is prime => 
Prime Factorization of 4 is:
2 x 2 => 
Prime Factorization of 7 is:
7 is prime => 
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 7
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 7 = 28
Answer:
The distribution with n = 225 will give a smaller standard error.
Since sigma x = sigma/√n, dividing by the square root of 225 will result in a small standard error regardless of the value of sigma.
Step-by-step explanation:
Standard error is given by standard deviation (sigma) divided by square root of sample size (√n).
The distribution with n = 225 would give a smaller standard error because the square root of 225 is 15. The inverse of 15 multiplied by sigma is approximately 0.07sigma which is smaller compared to the distribution n = 100. Square of 100 is 10, inverse of 10 multiplied by sigma is 0.1sigma.
0.07sigma is smaller than 0.1sigma
Mr Akika has 18 21-cent stamp and 31 31-cent stamp.
He has 49 21-cent and 31-cent stamps all told.
let
x = number of 21 cent stamp
y = number of 31 cent stamp
Therefore,
<h3>Total number of stamp:</h3>
<h3>Total cost of stamp:</h3>
Therefore,
x + y = 49
21x + 31y = 1339
21x + 21y = 1029
10y = 310
y = 310 / 10
y = 31
Therefore,
x = 49 - 31
x = 18
Therefore, Mr Akika has 18 21-cent stamp and 31 31-cent stamp.
learn more on system of equation: brainly.com/question/1369852?referrer=searchResults
Answer:
Reflection
Step-by-step explanation:
The shape A'B'C' is just reflected from the shape ABC.
Hope this helps :)
Answer:
78.5 cm
Step-by-step explanation:
The area of a circle is represented by A = πr². Since we are replacing the value of pi(π) with 3.14, and the diameter is 10, meaning the radius(r) is 5, we can plug both values into the equation, to get A = 3.14(5^2). This simplifies to 78.5.
