Answer: yes they are the same
Given:
Serenity picked 75% of the apples of a tree in her backyard.
She picked 30 apples.
To find:
The number of apples on the tree in the beginning.
Solution:
Let x be the number of apples on the tree in the beginning.
Serenity picked 75% of the apples of a tree in her backyard.
Number of apples picked = 75% of x
= 
= 
She picked 30 apples.

Multiply both sides by 4.


Divide both sides by 3.


Therefore, the number of apples on the tree in the beginning is 40.
2x^2 -2x - 12 is a polynomial with a GCF of 2.
it can be written as 2(x^2 - x - 6) just by taking out the 2
and if we factor the expression in the parentheses we get
2(x - 3)(x + 2)
Answer:
Step-by-step explanation:
[4 2] * -2 5 = [ 4*-2 + 2*7 4*5+2*-1]
7 -1
= [-8+14 20-2]
= [6 18]
Formula for standard deviation sample calculation is:
SD = sqrt (( ∑( x - m)²) / ( n - 1 )),
where x stays for each value in the data set, m stays for mean of all values in the data set, and n stays for the number of values in the data set.
For example: Find the sample standard deviation for the set of numbers: 10, 11, 11, 12, 12.
First we will find mean of all avlues: m = ( 10 + 11 + 11 + 12 +12 ) / 5 = 11.2
SD = sqrt (( 1.2² + 0.2² + 0.2² + 0.8² + 0.8² ) / ( 5 - 1 ))=
= sqrt ( 2.8 / 4 ) = √0.7 = 0.837