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NikAS [45]
3 years ago
15

Review of Unit 6 Measurement:

Mathematics
1 answer:
VMariaS [17]3 years ago
5 0

Answer:

True

Step-by-step explanation:

Brought - the amount used

42 feet - 39 feet 5 inches.  

  42 feet 0 inches  =     41 feet 12 inches

<u>  - 39 feet 5 inches  =  - 39 feet 5 inches</u>

                                       2 feet  7 inches

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Consider a system with one component that is subject to failure, and suppose that we have 115 copies of the component. Suppose f
castortr0y [4]

Answer:

Step-by-step explanation:

From the given information:

the mean (\mu) = 115 \times 20

= 2300

Standard deviation = 20 \times \sqrt{115}

Standard deviation (SD) = 214.4761

TO find:

a) P(x > 3500)= P(Z > \dfrac{3500-\mu}{214.4761})

P(x > 3500)= P(Z > \dfrac{3500-2300}{214.4761})

P(x > 3500)= P(Z > \dfrac{1200}{214.4761})

P(x > 3500)= P(Z >5.595)

From the Z-table, since 5.595 is > 3.999

P(x > 3500)=1-0.9999

P(x > 3500) = 0.0001

b)

Here, the replacement time for the mean (\mu) = \dfrac{0+0.5}{2}

= 0.25

Replacement time for the Standard deviation \sigma = \dfrac{0.5-0}{\sqrt{12}}

\sigma = 0.1443

For 115 component, the mean time = (115 × 20)+(114×0.25)

= 2300 + 28.5

= 2328.5

Standard deviation = \sqrt{(115\times 20^2) +(114\times (0.1443)^2)}

= \sqrt{(115\times 400) +(114\times 0.02082249}

= \sqrt{(46000) +2.37376386}

= \sqrt{(46000) +(2.37376386)}

= \sqrt{46002.374}

= 214.482

Now; the required probability:

P(x > 4125) = P(Z > \dfrac{4125- 2328.5}{214.482})

P(x > 4125) = P(Z > \dfrac{1796.5}{214.482})

P(x > 4125) = P(Z >8.376)

P(x > 4125) =1-  P(Z

From the Z-table, since 8.376 is > 3.999

P(x > 4125) = 1 - 0.9999

P(x > 4125) = 0.0001

7 0
3 years ago
Look at the graph shown below:
ElenaW [278]
So.. take a peek at the picture... let's get two points from it, hmm say 0,4 notice it touches the y-axis there, and say hmmm -4, 1, almost at the bottom of the line

\bf \begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%   (a,b)&#10;&({{ 0}}\quad ,&{{ 4}})\quad &#10;%   (c,d)&#10;&({{ -4}}\quad ,&{{ 1}})&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope = {{ m}}= \cfrac{rise}{run} \implies &#10;\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-4}{-4-0}

\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad &#10;\begin{array}{llll}&#10;\textit{plug in the values for }&#10;\begin{cases}&#10;y_1=4\\&#10;x_1=0\\&#10;m=\boxed{?}&#10;\end{cases}\\&#10;\textit{and solve for "y"}&#10;\end{array}\\&#10;\left. \qquad   \right. \uparrow\\&#10;\textit{point-slope form}

once you get the slope and solve for "y", that'd be the equation of the line.
7 0
3 years ago
A​ state's recidivism rate is ​22%. This means about ​22% of released prisoners end up back in prison​ (within three​ years). Su
storchak [24]

The probability that both of them go back to prison is 4.48%.

<h3>What is probability?</h3>
  • Probability is a measure of the likelihood of an event occurring.
  • Many events cannot be predicted with total certainty.
  • We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.
  • The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

The state recidivism rate is given by 22%.

So, the probability that both of the prisoners will go back to prison will be:

  • = 22% × 22%
  • = 0.22 × 0.22
  • = 4.84%

Hence, the probability that both of them go back to prison is 4.48%.

To know more about probability, visit:

brainly.com/question/14975981

#SPJ9

7 0
1 year ago
9 times 10 to the4 power
IrinaK [193]
The answer is 90,000 because 10 to the power of 4 is 10,000 times 9 is 90,000
6 0
3 years ago
When Rachel put gas in her car she records the distance and she has driven since her last fill up and then number of gallon of g
katen-ka-za [31]

Answer:

You obviously copied the question text in an incomplete and lazy way.

I still really wanna help you on your problem.

Please either point the whole question with the possible answers or make a photograph of the problem.

7 0
4 years ago
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