Meet in 2 hours
means that the distance covered over 2 hours adds to total distance which is 13miles
basically, imagine instead of moving in oposite directions, toward each other, imagine that one moves for 2 hours then theh other one moves for another 2 hours, total 13 miles
so
speed1=x
speed2=y
x is 2.1 more than y
x=2.1+y
distance=speed times time
time=2hours
speed=x and y
total distance=13
13=2x+2y
x=2.1+y
sub
13=2(2.1+y)+2y
13=4.2+2y+2y
13=4.2+4y
minus 4.2 from both sides
8.8=4y
divide both sides by 4
2.2=y
sub
x=2.1+y
x=2.1+2.2
x=4.3
the hikers hiked 2.2mph and 4.3mph
(2x + 2) = (3x + -52)
Reorder the terms:
(2 + 2x) = (3x + -52)
Remove parenthesis around (2 + 2x)
2 + 2x = (3x + -52)
Reorder the terms:
2 + 2x = (-52 + 3x)
Remove parenthesis around (-52 + 3x)
2 + 2x = -52 + 3x
Solving
2 + 2x = -52 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
2 + 2x + -3x = -52 + 3x + -3x
Combine like terms: 2x + -3x = -1x
2 + -1x = -52 + 3x + -3x
Combine like terms: 3x + -3x = 0
2 + -1x = -52 + 0
2 + -1x = -52
Add '-2' to each side of the equation.
2 + -2 + -1x = -52 + -2
Combine like terms: 2 + -2 = 0
0 + -1x = -52 + -2
-1x = -52 + -2
Combine like terms: -52 + -2 = -54
-1x = -54
Divide each side by '-1'.
x = 54
Simplifying
x = 54
A would be 1 as b would be -4
The standard error of the mean is 12.
The standard error of the mean points to the standard deviation of the distribution of a sample mean obtained from a population.
The standard error S.E of the mean can be calculated by using the formula:
where;
- standard deviation = 24
- sample size n = 4
S.E = 12
Learn more about the Standard error of the mean here:
brainly.com/question/5327639?referrer=searchResults
Answer:
Step-by-step explanation:
We want to simplify:
We rewrite the radicand using prime factorization:
This gives us
Create perfect squares and simplify: