Reorder the terms
112 + 3x = 100 + 5x
112 + 3x + (-5x) = 100 + 5x + (-5x)

Combine the like terms
5x + (-5x) = 0
112 + (-2x) = 100 + 0
112 + (-2x) = 100

112 + (-112) + (-2x) = 100 + (-112)
Combine like terms again
112 + (-112) =0
0 + (-2x) = 100 + (-112)
100 + (-112) = (-112) = (-12)
-2x = -12
-12 / -2 = 6
x = 6 <span>✓</span>

Check your work
3 * 6 + 112 = 130
5 * 6 + 110 = 130
130 = 130 ✓

3 0

3 years ago

The operating costs for each machine for one day have an unknown distribution with mean 1610 and standard deviation 136 dollars.

BabaBlast [244]

Answer:

20.27

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

Using the Central Limit Theorem for Means, what is the standard deviation for the sample mean distribution?

This is s when $\sigma = 136, n = 45$ . So

$s = \frac{136}{\sqrt{45}} = 20.27$

So the correct answer is:

20.27

3 0

2 years ago