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3 years ago

5

The control limits, calculated as three standard deviations from the sample mean, imply that _________ of the sample points are

expected to fall between the upper and lower control limits.

1 answer:

Hitman42 [59]3 years ago

4 0

Answer: 99.7%

Step-by-step explanation:

A control chart is used in the identification of the assigned causes of variation for a process. The control limits are refered to as the horizontal lines that are below and above the center line which are used in judging whether a particular process is out of control.

In this case, the control limits, which is calculated as three standard deviations from the sample mean, simply means that about 99.7% of the sample points will be expected to fall between upper and lower control limits.

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La suma de las areas de dos cuadrados es 218

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Which is the value of the expression (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed?

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Answer:

The value to the given expression is 8

Therefore $\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8$

Step-by-step explanation:

Given expression is (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed

Given expression can be written as below

$\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3$

To find the value of the given expression:

$\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=\frac{((10^4)(5^2))^3}{((10^3)(5^3))^3}$

( By using the property ( $(\frac{a}{b})^m=\frac{a^m}{b^m}$ )

$=\frac{(10^4)^3(5^2)^3}{(10^3)^3(5^3)^3}$

( By using the property $(ab)^m=a^mb^m$ )

$=\frac{(10^{12})(5^6)}{(10^9)(5^9)}$

( By using the property $(a^m)^n=a^{mn}$ )

$=(10^{12})(5^6)(10^{-9})(5^{-9})$

( By using the property $\frac{1}{a^m}=a^{-m}$ )

$=(10^{12-9})(5^{6-9})$ (By using the property $a^m.b^n=a^{m+n}$ )

$=(10^3)(5^{-3})$

$=\frac{10^3}{5^3}$ ( By using the property $a^{-m}=\frac{1}{a^m}$ )

$=\frac{1000}{125}$

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Therefore $\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8$

Therefore the value to the given expression is 8

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3 years ago

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For his phone service, Charlie pays a monthly fee of $ 18 , and he pays an additional $ 0.06 per minute of use. The least he has

schepotkina [342]

Answer:

Charlie has used his phone in a month for at least 1404 minutes

Step-by-step explanation:

In order to solve this problem, we must first determine what will our variable be and what it will represent.

Let's say our variable is x and it will represent the number of minutes Charlie has used his phone.

After we set our variable up, we can set our equation up. The problem states that Charlie will pay a monthly fee of $18 and additional $0.06 per minute of use. The $18 is what is called a fixed cost and the $0.06 is the variable cost, which will depend on our variable x (the number of minutes spent). Taking this into account we can build an inequality that will represent the amount of money spent in a month, which will look like this:

$18+0.06x\geq 102.24$

so now we can solve that inequality for x, we can start by subtracting 18 from both sides, so we get.

$18+0.06x-18\geq 102.24-18\\\\0.06x\geq 84.24$

Next, we can divide both sides of the inequality by 0.06 so we get:

$0.06x/0.06\geq 84.24/0.06\\\\x\geq 1404$

so that's where the answer came from. Charly has used an amount of at least 1404 minutes

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inysia [295]

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