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2 years ago

How can you 83 x 57 estimate

2 answers:

4 0

Hey!

You can round 83 and 57 to the closest whole numbers:

80 × 60 = 4,800

So, now you know that your answer should be close to 4,800

SVEN [57.7K]2 years ago

3 0

If you want to estimate the answer, you'll need to change the two numbers that make them easier to multiply in your head or on paper. Round 83 to 80, and 57 to 60. That makes 60 times 80; to give an estimate on paper. That would give it an estimate of around 4,800.

Hope this helps! :D

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A Norman window is a window with a semi-circle on top of regular rectangular window. What should be the dimensions of the window

victus00 [196]

Answer:

Side lengths = 1.68 ft and width = 3.36 ft.

Step-by-step explanation:

Let the side lengths of the window be L and the width = 2r ( r is also the radius of the semi-circle).

So we have

Perimeter = 2L + 2r + πr = 12

Area = 2rL + 0.5πr^2

From the first equation

2L = 12 - 2r - πr

Substitute for 2L in the equation for the area:

A = r(12 - 2r - πr) + 0.5πr^2

A = 12r - 2r^2 - πr^2 + 0.5πr^2

A = 12r - 2r^2 - 0.5πr^2

We need to find r for the maximum area:

Finding the derivative and equating to zero:

A' = 12 - 4r - πr = 0=

4r + πr = 12

r = 12 / ( 4 + π)

r = 1.68 ft.

So the width of the window = 2 * 1.68 = 3.36 ft.

Now 2L = 12 - 2r - πr

= 12 - 2*1.68 - 1.68π

= 3.36

L = 1.68.

5 0

2 years ago

Read 2 more answers

Cos ( α ) = √ 6/ 6 and sin ( β ) = √ 2/4 . Find tan ( α − β )

Zina [86]

Answer:

$\purple{ \bold{ \tan( \alpha - \beta ) = 1.00701798}}$

Step-by-step explanation:

$\cos( \alpha ) = \frac{ \sqrt{6} }{6} = \frac{1}{ \sqrt{6} } \\ \\ \therefore \: \sin( \alpha ) = \sqrt{1 - { \cos}^{2} ( \alpha ) } \\ \\ = \sqrt{1 - \bigg( {\frac{1}{ \sqrt{6} } \bigg )}^{2} } \\ \\ = \sqrt{1 - {\frac{1}{ {6} }}} \\ \\ = \sqrt{ {\frac{6 - 1}{ {6} }}} \\ \\ \red{\sin( \alpha ) = \sqrt{ { \frac{5}{ {6} }}} } \\ \\ \tan( \alpha ) = \frac{\sin( \alpha ) }{\cos( \alpha ) } = \sqrt{5} \\ \\ \sin( \beta ) = \frac{ \sqrt{2} }{4} \\ \\ \implies \: \cos( \beta ) = \sqrt{ \frac{7}{8} } \\ \\ \tan( \beta ) = \frac{\sin( \beta ) }{\cos( \beta ) } = \frac{1}{ \sqrt{7} } \\ \\ \tan( \alpha - \beta ) = \frac{ \tan \alpha - \tan \beta }{1 + \tan \alpha . \tan \beta} \\ \\ = \frac{ \sqrt{5} - \frac{1}{ \sqrt{7} } }{1 + \sqrt{5} . \frac{1}{ \sqrt{7} } } \\ \\ = \frac{ \sqrt{35} - 1 }{ \sqrt{7} + \sqrt{5} } \\ \\ \purple{ \bold{ \tan( \alpha - \beta ) = 1.00701798}}$

8 0

2 years ago

Please help me with this question

netineya [11]

Answer

777

Step-by-step explanation:

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2 years ago

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A newspaper is conducting a statewide survey concerning the race for governor. The newspaper will take a simple random sample of

katen-ka-za [31]

Answer:

Larger sample size gives less std error and hence test statistic is larger.

Step-by-step explanation:

Given that a newspaper is conducting a statewide survey concerning the race for governor. The newspaper will take a simple random sample of n registered voters and determine X = the number of voters that will vote for the Democratic candidate. Is there evidence that a clear majority of the population will vote for the Democratic candidate

Group I II

Success 640 64

Total 1200 120

p 0.533333333 0.533333333

q 0.466666667 0.466666667

se 0.014401646 0.045542003

p diff 0.033333333 0.033333333

Z 2.314550249 0.731925055

p 0.01 0.233

we find that though p is the same, std error is very small for larger sample size thus making z statistic much bigger. So we get p value less than 0.05 whereas for 120 sample size, std error is large so Z statistic is small thus making p value to accept null hypothesis

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2 years ago

Turn this recurring decimal, 0.545545545, to a fraction in its lowest form.

professor190 [17]

54554/99999. I think I am right but sorry if I am wrong.

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2 years ago