Multiply and simplify. b^3•b•b^4•b^2 plz help asap like in the next 5-10 minutes

What number has exactly 5 factors between 1 and 20

mariarad [96]

The factors of 16 are 1, 2, 4, 8, and 16.

3 0

3 years ago

Twenty-five samples of 100 items each were inspected when a process was considered to be operating satisfactorily. In the 25 sam

notsponge [240]

a) The estimate of the proportion of defectives when the process is in control is 0.054

b) The standard error of the proportion if the sample size is 100 is 0.0226.

c) The upper control limit is 0.1218 and the lower control limit is 0 (since LCL < 0 and p > 0, we can write LCL = 0).

<h3>What are the formulas for finding the estimate of the proportion, standard variation, and control limits?</h3>

1) The estimate of the proportion of success is

p = (number of success)/(total number of samples)

I.e., p = x/N

2) The standard deviation of the proportion of success is

$\sigma_p = \sqrt{\frac{p(1-p)}{n} }$

3) The upper and lower control limits for a control chart are:

L.C.L = p - 3 $\sigma_p$

and U.C.L = p + 3 $\sigma_p$

<h3>Calculation:</h3>

It is given that, there are 25 samples of 100 items each.

So, the total number of items i.e., the total sample size,

N = 25 × 100 = 2500

In 25 samples, a total of 135 items were found to be defective.

So, the number of defectives x = 135

a) The estimate of the proportion of defectives is p = x/N

On substituting, we get

p = 135/2500 = 0.054

b) The standard error of the proportion if the sample of size 100 is calculated by

$\sigma_p = \sqrt{\frac{p(1-p)}{n} }$

On substituting p = 0.054 and n = 100, we get

$\sigma_p = \sqrt{\frac{0.054(1-0.54)}{100} }$

= 0.0226

c) The control limits for the control chart are:

Upper control limit = p + 3 $\sigma_p$

⇒ U.C.L = 0.054 + 3(0.0226) = 0.054 + 0.0678 = 0.1218

Lower control limit = p - 3 $\sigma_p$

⇒ L.C.L = 0.054 - 3(0.0226) = 0.054 - 0.0678 = - 0.0138 ≈ 0

(Since we know that the lower control limit should not be a negative value, it is made equal to 0).

Learn more about an estimate of the proportion here:

brainly.com/question/23986522

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7 0

1 year ago

The table below shows two equations:

VMariaS [17]

| 3x - 1 | + 7 = 2
| 3x - 1 | = 2 - 7
| 3x - 1 | = -5.....no solution because an absolute value cannot equal a negative number.

| 2x + 1 | + 4 = 3
| 2x + 1 | = 3 - 4
|2x + 1 | = -1...same thing...no solution..cannot equal a neg. number

so Eq. 1 and Eq. 2 both have NO SOLUTIONS :)

8 0

4 years ago

Read 2 more answers

WILL MARK THE BRAINLIEST!! What are the amplitude, period, phase shift, and midline of f(x) = 2 sin(x + π) − 4?

xxMikexx [17]

Answer:

Step-by-step explanation:

Amplitude is twice the coefficent of the sine function. In this case, $2*2=4$