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4 years ago

To inscribe a square inside a circle first you must draw a diameter anywhere across the circle. What should your next step be?

Mathematics

2 answers:

CaHeK987 [17]4 years ago

8 0

Answer:

Bisect the diameter perpendicularly.

Step-by-step explanation:

After drawing the diameter, the next step will be to construct a perpendicular bisector to the diameter. This will leave you with four unique points on the circumference of the circle. Connect these points to form the square inscribed in the circle.

OlgaM077 [116]4 years ago

5 0

Answer:

it a

Step-by-step explanation:

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The diameters of aluminum alloy rods produced on an extrusion machine are known to have a standard deviation of 0.0001 in. A ran

Murljashka [212]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The null hypothesis is rejected this means that $\mu \ne 0.5025$

The 95% confidence interval is $0.5045608 < \mu < 0.5046392$

Step-by-step explanation:

From the question we are told that

The standard deviation is s= 0.0001

The sample size is n = 25

The sample mean is $\= x = 0.5046 \ in$

The population mean is $\mu = 0.5025 \ in$

The null hypothesis is $H_o : \mu = 0.5025$

The alternative hypothesis is $H_a : \mu \ne 0.5025$

The test statistics is mathematically represented as

$t = \frac{0.5046 - 0.5025}{ \frac{0.0001}{\sqrt{25} } }$

$t = 105$

So the p-value from the z-table is mathematically represented as

$p-value = 2 * P( z > 105)$

$p-value = 0.000$

seeing that

$p-value < \alpha$ we reject the null hypothesis

The critical value of

$\frac{\alpha }{2}$ obtained from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} }*\frac{s}{\sqrt{n} }$

=> $E = 1.96 *\frac{0.0001}{\sqrt{25} }$

=> $E =3.92 *10^{-5}$

The 95% confidence level is mathematically represented as

$\= x - E < \mu < \= x + E$

=> $0.5046 - 3.92 *10^{-5} < \mu < 0.5046 + 3.92 *10^{-5}$

=> $0.5045608 < \mu < 0.5046392$

8 0

3 years ago

I will give brainiest to whoever answers correctly !!

KonstantinChe [14]

Answer:

The number of units sold increased by $\mathbf{11.2\%}$

Step-by-step explanation:

Vacuum dealer sold units in 2011 = 420

Vacuum dealer sold units in 2012 = 467

We need to find percent increase or decrease

Since, In 2012 units sold are greater than 2011, so there will be percent increase.

The formula used is: $Percent\:Increase=\frac{New\:Value-Original\:Value}{Original\:Value}\times 100$

We have New Value (Units sold in 2012) = 467

Original Value (Units sold in 2011) = 420

Percent increase is:

$Percent\:Increase=\frac{New\:Value-Original\:Value}{Original\:Value}\times 100\\Percent\:Increase=\frac{467-420}{420}\times 100\\Percent\:Increase=\frac{47}{420}\times 100\\Percent\:Increase=11.2\%$

So, The number of units sold increased by $\mathbf{11.2\%}$

4 0

3 years ago

Which equation describes the circle having center point (3,7) and the radius r=4 in Standard form

Annette [7]

The equation of circle in standard form is $(x - 3)^2 + (y - 7)^2 = 16$

<h3><u>Solution:</u></h3>

Given that circle having center point (3,7) and the radius r = 4

To find: equation of circle in standard form

<em><u>The equation of circle is given as:</u></em>

$(x - h)^2 + (y - k)^2 = r^2$

Where center (h,k) and radius r units

Given that center point (h , k) = (3, 7) and radius r = 4 units

Substituting the values in above equation of circle,

$(x - 3)^2 + (y - 7)^2 = 4^2\\\\(x - 3)^2 + (y - 7)^2 = 16$

Thus the equation of circle in standard form is $(x - 3)^2 + (y - 7)^2 = 16$

6 0

3 years ago

A sequence is defined by un=3n-2. find u27

Fed [463]

I think the definition of your sequence is    u(n) = 3n - 2 .
That little set of parentheses makes it SO much
easier to read and understand.

To find u(any number) just write the number in place of 'n' .

u(27) = 3(27) - 2

   =   81 - 2

   = 79 .

8 0

3 years ago

How many hot chocolates were sold on sunday?

Sergeu [11.5K]

Answer:

Step-by-step explanation:

this is how the table should look like when numbers are inputted

150 106 256

44 40 84

96 64 160

290 210 500

6 0

3 years ago