Answer:
A fruit stand has to decide what to charge for their produce.
They need $ 5.30 for 1 apple and 1 orange.
They also need $ 7.30 for 1 apple and 2 oranges.
TO DETERMINE
To put this information into a system of linear equations.
TO find a unique price for an apple and an orange
EVALUATION
Let the price of an apple = x and price of an orange = y
So From the first condition that they need $ 5.30 for 1 apple and 1 orange we get
\sf{x + y = 5.30}x+y=5.30 - - - - Equation 1
Again from second condition that they need $ 7.30 for 1 apple and 2 oranges we get
\sf{x + 2y = 7.30}x+2y=7.30 - - - - Equation 2
So the required Set of linear equations are
x + y = 5.30
x + 2y = 7.30
Equation (2) - Equation (1) we get
y = 2
From Equation (1) we get
x = 5.30 - 2 = 3.30
Hence price of an apple = $ 3.30
The price of an orange = $ 2
Answer:
20.27
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean 
and standard deviation 
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean and standard deviation 
Using the Central Limit Theorem for Means, what is the standard deviation for the sample mean distribution?
This is s when 
. So
So the correct answer is:
20.27
Answer:
Sry its long but if your to lazy to look thru it here is the answer= z = {-7, 8}
Step-by-step explanation:
Simplifying
z2 + -1z + -56 = 0
Reorder the terms:
-56 + -1z + z2 = 0
Solving:
-56 + -1z + z2 = 0
Solving for variable 'z'.
Factor a trinomial.
(-7 + -1z)(8 + -1z) = 0
Subproblem 1
Set the factor '(-7 + -1z)' equal to zero and attempt to solve:
Simplifying:
-7 + -1z = 0
Solving:
-7 + -1z = 0
Move all terms containing z to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + -1z = 0 + 7
Combine like terms: -7 + 7 = 0
0 + -1z = 0 + 7
-1z = 0 + 7
Combine like terms: 0 + 7 = 7
-1z = 7
Divide each side by '-1'.
z = -7
Simplifying:
z = -7
Subproblem 2
Set the factor '(8 + -1z)' equal to zero and attempt to solve:
Simplifying:
8 + -1z = 0
Solving:
8 + -1z = 0
Move all terms containing z to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + -1z = 0 + -8
Combine like terms: 8 + -8 = 0
0 + -1z = 0 + -8
-1z = 0 + -8
Combine like terms: 0 + -8 = -8
-1z = -8
Divide each side by '-1'.
z = 8
Simplifying:
z = 8
Solution
z = {-7, 8}
Answer:
here's the answer to your question
9514 1404 393
Answer:
1,570,000
Step-by-step explanation:
The sum is approximately ...
1,260,000 +310,000 = 1,570,000
_____
<em>Additional comment</em>
It is a good idea to estimate the error associated with an estimate. Here, both numbers are rounded up by about 4000 each, so the estimate is around 8000 high.
