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3 years ago

What is the square route of pi?

Mathematics

2 answers:

DIA [1.3K]3 years ago

4 0

1.77.......... its a infinite number

Ivanshal [37]3 years ago

3 0

1.7724538509055160272981674833411451827975494561223871282138077898529112845910321813749506567385446654162268236242825706662361528657244226025250937096027870684620376986531051228499251730289508262289320953792679628001746390153514797205167001901852340185854469744949126403139217755259062164054193325009063984076137334774751534336679897893658518364087954511651617387600590673934317913328098548462481849020546548521956132515616474675150427387610561079961271072100603720444836723652966137080943234988316684242138457096091204204277857780686947665700052183056851254133966369446541815107166938833219429293570622688652244205421499480499207564863988748385059306402182140292858112330649789452036211490789622873894032459781985131348712665125062932600446563821096750268124969305954204615607619522173915250702077927580990543329006622230676144696612481887430699788352050614644438541853079735742571791856359597499599522638492422038891039664064472939728413450430021405642334330392617561341763363200170376541634763206692765418128357624903269045084853201341924359897308711937994829387301112625616588188847859778759637613632186342465466413339543557032015226541939521860304973105138294984396591656142459554212266151024785360980955103956007894021880996133828540250168007458027291193664251928205100019363500739146432954934339519288537354592005637665028805405755321231890091263228191509149808366956244831008522219239736463248428632611457669324253715773778944140905445735953512256263910802392369097321279058076171346039145747918797941248502184451458113418888804132209553321846467097274910285652627078454532622278488009823858363007549509547640623770833883572254366215674813276683842449724208745161618332050779914801846668142366936519028454638576148278570377743883762974799827377054315836824109986832285038055263553697222931338052644284103723120439670043076124541383117922782753637155983983768845370278429857070905112238405367790133854145853162080730431380697399874366931660138170792720560419548828580630931116362970478678140269632729627012261359858977545052894831130166840015320748519824024633375558517135680193412289759807195687402505715021417837925436430303659282112509258806189031170745431279039535536606826110011889657420487275939199769955383521150866962555964413705038292449535903106362345305647171162168587254586874400296117579217231905540571986817275884190896496579066965156017283514829038565511698072107953309161308435985243894654406821655003275379960238665037988864815211865799958571865637751133159747535960434137766451191434601342925081163248064090737732126293357474729676793412716029665120809898090577996603051021816255579789074870762110762380262678542970150271091535049853514923908324842808289875955756788488926084208855212695103573702086612591155413204403735608643388371239620642939023786663116326167888419227981949952403942457842204430304204304207109692733929460851049692897391618556078378703364289023429327188729680297215816594261297283663959050411303747457435097490580163269165375769098109748562537785034287994219223771858443183279373129800658703686192301021745450520308455330386195066023643341153205974122426426535421655815003647269194638254412455725947390071922718709796054989724602822602429105077402081237567480762763774370634504631477376948033168357076205874957817335099676287338739670296881906614261445737132282280393544460837760105864673894385577688720397176705927316630090311260814488430862411429224796545402616375515865873519843721755055272950641504357687583814935940105565912150377044197388037056809714346316360543413650766999757621198118425874225208140436406211723091974394552459677817421914643335067146364622594792319497003496602563521033780660380527031652454546473640620830298273494336728477353020224705290099569815670586403988563683495649528828785196447555742560145992685258185630853805815521997029234802948217957003929547687673787467561474545052585171167541520282662279997703869334225001229773162123...

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0.55 written as a fraction in simplest form?

postnew [5]

0.55 can be converted to:
55/100
= 11/20

5 0

3 years ago

Read 2 more answers

Write a quadratic function that has been translated 1 units to the right and 3 units down.

vodka [1.7K]

Step-by-step explanation:

Hi,

f(x) = (x - 1) - 3

The -1 is the 1 unit to the right (even though it's being subtracted, it's going to the right because it's embedded with the x)

And the -3 is not embedded with the x, meaning the function will move 3 units down.

I hope this helps :)

6 0

3 years ago

Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal prob

Novay_Z [31]

Answer:

a) By the Central Limit Theorem, it is approximately normal.

b) The standard error of the distribution of the sample mean is 1.8333.

c) 0.1379 = 13.79% of the samples will have a mean useful life of more than 38 hours.

d) 0.7939 = 79.39% of the samples will have a mean useful life greater than 34.5 hours

e) 0.656 = 65.6% of the samples will have a mean useful life between 34.5 and 38 hours

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 36 hours and a standard deviation of 5.5 hours.

This means that $\mu = 36, \sigma = 5.5$

a. What can you say about the shape of the distribution of the sample mean?

By the Central Limit Theorem, it is approximately normal.

b. What is the standard error of the distribution of the sample mean? (Round your answer to 4 decimal places.)

Sample of 9 means that $n = 9$ . So

$s = \frac{\sigma}{\sqrt{n}} = \frac{5.5}{\sqrt{9}} = 1.8333$

The standard error of the distribution of the sample mean is 1.8333.

c. What proportion of the samples will have a mean useful life of more than 38 hours?

This is 1 subtracted by the pvalue of Z when X = 38. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{38 - 36}{1.8333}$

$Z = 1.09$

$Z = 1.09$ has a pvalue of 0.8621

1 - 0.8621 = 0.1379

0.1379 = 13.79% of the samples will have a mean useful life of more than 38 hours.

d. What proportion of the sample will have a mean useful life greater than 34.5 hours?

This is 1 subtracted by the pvalue of Z when X = 34.5. So

$Z = \frac{X - \mu}{s}$

$Z = \frac{34.5 - 36}{1.8333}$

$Z = -0.82$

$Z = -0.82$ has a pvalue of 0.2061.

1 - 0.2061 = 0.7939

0.7939 = 79.39% of the samples will have a mean useful life greater than 34.5 hours.

e. What proportion of the sample will have a mean useful life between 34.5 and 38 hours?

pvalue of Z when X = 38 subtracted by the pvalue of Z when X = 34.5. So

0.8621 - 0.2061 = 0.656

0.656 = 65.6% of the samples will have a mean useful life between 34.5 and 38 hours

4 0

3 years ago

Solve for x. A. x =9 B. x = 3 C. x = 4 D. x = 27

meriva

Your formula for this is $9^{2} =x(24+x)$ and $81=24x+ x^{2}$ . Get everything on one side of the equals sign, set it equal to 0 and factor. When you do this you get (x-3)(x+27). The Zero Product Property rule tells us that either x-3 = 0 or x+27 = 0 and that x = 3 and -27. The only thing in math that will NEVER be negative besides time is distance/length, therefore, x cannot be 27 and has to be 3.

8 0

3 years ago

I just learned this today and it’s a little confusing , is there anyone that could explain how to do these problems for me ?

evablogger [386]

Step-by-step explanation:

I'll do the first problem as an example.

∠P and ∠H both have one mark. That means they're congruent.

∠T and ∠G both have two marks. So they're congruent.

∠W and ∠D both have three marks. So they're congruent.

So we can write a congruence statement:

ΔPTW ≅ ΔHGD

We can write more congruence statements by rearranging the letter, provided that corresponding pairs have the same position (P is in the same place as H, etc.). For example:

ΔWPT ≅ ΔDHG

ΔTWP ≅ ΔGDH

3 0

4 years ago