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3 years ago

Please help asap!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

Reika [66]3 years ago

7 0

Answer:

30.96

Step-by-step explanation:

First you must find the diameter of the circle which is 12

Then you must use the formula A=πr²

So it should be = to A = 3.14 ×144 which is 30.96

Alex73 [517]3 years ago

6 0

$\huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }$

$\large\underline{ \boxed{ \sf{✰\:Notes }}}$

<h2>★ Concept ★</h2>

➣ A square with sides 12m
➣then a circle in between
➣nd it's diameter is 12m bcz of side of square is equal to radius
➣soo here things we to find is the area of circle and then square then by subtracting their will give us the area of shaded part in image

$\rule{70mm}{2.9pt}$

$\large\underline{ \boxed{ \sf{✰\: formule\: used\:✰ }}}$

${ \boxed{✟\underline{ \boxed{ \sf{\: Area \: of \: circle = \pi {r}^{2} \: }}}✟}}$

${ \boxed{✟\underline{ \boxed{ \sf{\: Area \: of \: square = side \times side \: or \: ( {s}^{2}) \: }}}✟}}$

$\rule{70mm}{2.9pt}$

✛ 1st taking out the the area of circle✛

➣ value of pi = 3.14
➣ diameter = 12m (have to find radius we know that radius is half of diameter) which is

$\qquad \rm{➛ \: radius(r) = \frac{12}{2} } \\ \\ \qquad \rm{➛ \: radius(r) = \frac{ \cancel{12}}{ \cancel2} } \\ \\ \qquad \rm{➛ \: radius(r) =6m}$

★ Hence radius of circle is 6m

<h3>★ let's substitute values now ★ </h3>

$\\ \qquad \rm{➛Area \: of \: circle = 3.14 \times {6}^{2} \:} \\ \\ \qquad \rm{➛Area \: of \: circle = \:3.14 \times 36} \\ \\ \qquad \rm{➛Area \: of \: circle = \:113.04 {m}^{2} }$

$\rule{70mm}{2.9pt}$

✛ now finding the area of square✛

➣ here two given side are 12m

<h3>★ let's substitute values now ★ </h3>

$\\ \qquad \rm{➛Area \: of \:square = 12×12} \\ \\ \\ \qquad \rm{➛Area \: of \:square = 144 {m}^{2} }$

<h3> ✞ Now according to given ques we have to find area of shaded part soo let's solve ! ✞</h3>

$\\ \rm{➛Area \: of \:shaded \: part = \: area \: of \: circle - area \: of \: squre} \\$

★ Let's substitute value ★

$\\ \rm{➛Area \: of \:shaded \: part =113.04-144} \\ \\ \qquad \rm{➛Area \: of \:shaded \: part =30.96 {m}^{2} }$

$\rule{70mm}{2.9pt}$

★ Hence area of shaded part =

${ \boxed{✜\underline{ \boxed{ \sf{ \: 30.96 {m}^{2} \green✓\: }}}✜}}$

★ note here we neglect minus (-)

$\rule{70mm}{2.9pt}$

Hope it helps !

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Data given and notation

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We need to conduct a hypothesis in order to check if the true mean is different from 420 or not, the system of hypothesis would be:

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Alternative hypothesis: $\mu \neq 420$

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t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

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$t=\frac{424-420}{\frac{26}{\sqrt{61}}}=1.202$

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The first step is calculate the degrees of freedom, on this case:

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Since is a two sided test the p value would be:

$p_v =2*P(t_{(60)}>1.202)=0.234$

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