Draw a circle whose radius is 3cm?​

Solution :

Let [tex]$x_i$[/tex] represents the prices for the digital camera.

              [tex]$x_i$[/tex]                   [tex]$x_i^2$[/tex]

           225              50625

           236              55696

            217               47089

           202              40804

           231               53361

           185               35225

           193               37249

           185               34225

           217               47089

[tex]$\sum x_i = 2136$[/tex]       [tex]$\sum x_i^2 = 460388$[/tex]

Mean, [tex]$(\overline X) = \frac{\sum x_i}{n}$[/tex]

                 [tex]$=\frac{2136}{10}$[/tex]

                 = 213.6

Variance, [tex]$\sigma^2 = \frac{\sum x_i^2}{n}-(\overline X)^2$[/tex]

                     [tex]$ = \frac{460388}{10}-(213.6)^2$[/tex]

                    = 46038.8 - 45624.96

                    = 413.84

Therefore, standard deviation,

[tex]$\sigma = \sqrt{Var}$[/tex]

   [tex]$=\sqrt{413.84}$[/tex]

   = 20.343

Now to find the 93% confidence interval, the formula us

[tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]

For 93%, the value of z is 1.81

∴ Confidence interval = [tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]

C.I. = [tex]$213.6\pm 1.81 \times \frac{20.343}{\sqrt{10}}$[/tex]

      [tex]$=213.6 \pm 11.6438$[/tex]

Therefore, lower bound = 213.6 - 11.6438

                                        = 201.9562

                  Upper bound = 213.6 + 11.6438

                                         = 225.2438

∴ [tex]$201.9562 < \mu < 225.2438$[/tex]

or [tex]$202< \mu < 225.2$[/tex]

Answer:

60°

Step-by-step explanation:

angle A +angle B +angle C = 180

30° +B+90°= 180

120°+B=180°

B=180°-120°

B=60°

Answer:

v=433.33

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

a square has 4 sides.

100/4=25

Answer:

the first option

Step-by-step explanation:

it's the only one tht adds to 180

Answer:

49°, 59° and 72°

Step-by-step explanation:

Interior angles are supposed to add up to 180°

49+59+72=180° (correct set)

34+45+11= 90° (not correct set)

24+51+15= 90° (not correct set)

45+70+85 = 200° (not correct set)

hence the correct set is 49°, 59° and 72°

Answer:

443.736759 day

Step-by-step explanation:

To convert a seconds to days, divide the time by the conversion ratio.

So.....

One day is equal to 86,400 seconds, you can use this formula to convert:

 days = seconds ÷ 86,400

The time in days is equal to the seconds divided by 86,400.

Example: Convert 50,000 seconds to days (use the formula above)

50,000 sec = (50,000 ÷ 86,400) = 0.578704 day

Answer:

Step-by-step explanation:

If they were joined together, wouldn't the length of both squares combined be 20cm?

Therefore, it'd be (10+20+10+20) for the perimeter.

60cm.

Answer:

pretty sure its twenty

Step-by-step explanation:

you have to subtract the maximum from the minimum values

so 25-5=20

have a nice day!!!!!!!!

9514 1404 393

Answer:

  107°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

  X = 180° -Q

  X = 180° -73° = 107°

Answer:

Step-by-step explanation:

Edge 2022

Answer:

c

Step-by-step explanation:

2/3 in

Answer:

1 / 2

Step-by-step explanation:

Cos 60°

= 1 / 2

1 / 2 is the answe.

Answer:

a) Let's define the variables:

t = number of tulips bought

r = number of roses bought

We know that each tulip costs $5, and each rose costs $3.

Then the total cost will be:

$5*t + $3*r

We know that Morty spent a total of $54, then we have the equation:

$5*t + $3*r = $54

We also know that he bought a total of 14 flowers, then:

r + t = 14

Then the system of equations is:

$5*t + $3*r = $54

r + t = 14

b) To solve the system, first, we need to isolate one of the variables in one of the equations. I will isolate r in the second one:

r = 14 - t

Now we can replace this into the other equation:

$5*t + $3*r = $54

$5*t + $3*(14 - t) = $54

Now we can solve this for t.

$5*t + $3*14 - $3*t = $54

$2*t + $42 = $54

$2*t = $54 - $42 = $12

t = $12/$2 = 6

t = 6

He bought 6 tulips.

Now we can use the equation r = 14 - t

r = 14 - 6 = 8

r = 8

He bought 8 roses.

Answer: =3x^3+5

Step-by-step explanation: Hope this help :D

36 to the nearest hundredth is just 36

To round 36 to the nearest hundredth consider the thousandths' value of 36, which is 0 and less than 5. Therefore, the hundredths' value of 36 remains 36

Answer:

Round 36 to the nearest tenth, Leaving only one number after the decimal point, Then you have come to the right post.

Step-by-step explanation:

Round off to nearest 10. Rounding every place-value of number. Round off a number to the nearest tens round off to the nearest multiple of ten.

A large number may be rounded off to the nearest 10.

Hope It Helps!

Answer:

I think angle 7 could also measure 117, and I think the angle relationship is alternate exterior angles.

Step-by-step explanation:

If my answers are wrong, I am incredibly sorry!

Answer:

Your Answer mark me as brainlist

Step-by-step explanation:

slope = "rise over run" the difference in y values divided by the difference in x values

= 6/-3 = -2 = m. It's negative because as x increases, y decreases

plug that into the point slope formula, with either point. generally use the most simple point

y-h= m(x-k) where m= -2 and (k,h) = (2,-2)

y+2 = -2(x-2)

simply if you want

Y = -2x +4 -2 = -2x +2

or

2x +y = 2

Answer:

The correct answer is "9√2 units".

Step-by-step explanation:

The given equations are:

⇒ [tex]3x^2-y^2=3[/tex]...(equation 1)

⇒ [tex]y+x-5=0[/tex]...(equation 2)

According to the 2nd equation, we get

⇒ [tex]y+x-5=0[/tex]

⇒              [tex]y=5-x[/tex]

On substituting the value of "y" in the 1st equation, we get

⇒  [tex]3x^2-y^2=3[/tex]

     [tex]3x^2-(5-x)^2=3[/tex]

     [tex]3x^2-(25+x^2-10x)=3[/tex]

     [tex]2x^2+10x-28=0[/tex]

On taking common, we get

     [tex]x^2+5x-14=0[/tex]

On applying factorization, we get

     [tex]x^2+7x-2x-14=0[/tex]

   [tex]x(x+7)-2(x+7)=0[/tex]

           [tex](x+7)(x-2)=0[/tex]

                        [tex]x+7=0[/tex]

                              [tex]x=-7[/tex]

or,

                         [tex]x-2=0[/tex]

                                [tex]x=2[/tex]

Now,

The points are:

(-7, 12) = (x₁, y₁)

(2, 3) = (x₂, y₂)

By using the distance formula, the length of chord will be:

= [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

On substituting the values in the above formula, we get

= [tex]\sqrt{(2-(-7))^2+(3-12)^2}[/tex]

= [tex]\sqrt{(9)^2+(-9)^2}[/tex]

= [tex]\sqrt{81+81}[/tex]

= [tex]9 \sqrt{2}[/tex] units

Answer:

The hourly growth rate parameter is of 4.74%

Step-by-step explanation:

Continuous growth model:

The continuous growth model for a population after t hours is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial population and r is the hourly growth rate parameter, as a decimal.

A sample of 1500 bacteria selected from this population reached the size of 1805 bacteria in four hours.

This means that [tex]P(0) = 1500, P(t) = 1805, t = 4[/tex]

Find the hourly growth rate parameter.

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]1805 = 1500(1+r)^4[/tex]

[tex](1+r)^4 = \frac{1805}{1500}[/tex]

[tex]\sqrt[4]{(1+r)^4} = \sqrt[4]{\frac{1805}{1500}}[/tex]

[tex]1 + r = (\frac{1805}{1500})^{\frac{1}{4}}[/tex]

[tex]1 + r = 1.0474[/tex]

[tex]r = 0.0474[/tex]

0.0474*100% = 4.74%

The hourly growth rate parameter is of 4.74%

A regular polygon has equal side lengths and congruent interior angles.

The sum of the interior angles of any regular polygon is determined using the formula: (n - 2)180, where n is the number of sides.

Thus, given polygon GHIJK has 5 sides, we would have the following:

The polygon is a regular pentagon.

Sum of all its interior angles = (5 - 2)180 = 540°.

Each interior angle = 540/5 = 108°

Therefore, the statement that is true about the regular polygon are:

Learn more about regular polygon on:

https://brainly.com/question/1592456

Answer: b, c, e

Step-by-step explanation:

Answer:

He would have to invest $80,412.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Assuming an interest rate of 3,43% compounded quarterly.

This means that [tex]r = 0.0343, n = 4[/tex]

How much would he have to invest to have $148,700 after 18 years?

This is P for which [tex]t = 18, A(t) = 148700[/tex]. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]148700 = P(1 + \frac{0.0343}{4})^{72}[/tex]

[tex]P = \frac{148700}{(1 + \frac{0.0343}{4})^{72}}[/tex]

[tex]P = 80412[/tex]

He would have to invest $80,412.

Answer: y = 3,x =7

Step-by-step explanation:

Answer:

CI 99% = (  0,022  ;  0,126 )

Step-by-step explanation:

First sample  

n₁  = 500

x₁  = 48

p₁ = x₁ / n₁   =  48 / 500      p₁  =  0,096      p₁  = 9,6 %

Second sample

n₂  = 400

x₂  = 68

p₂ = x₂ / n₂   =  68 / 400      p₂  =  0,17       p₂  = 17 %

CI = 99 %    significance level α = 1 %     α  = 0,01

z(c)  for α = 0,01  is from z- table    z(c) = 2,325

CI  =  ( p₂ - p₁ ) ±  z(c) *√ p*q* ( 1/n₁  +  1 / n₂ )

Where

p₂  -  p₁  =  0,17 - 0,096 = 0,074

p = ( x₁ + x₂ )  / n₁ + n₂

p =  ( 48  +  68  ) /( 500 + 400)

p = 116/ 900     p = 0,1288     and   q = 1 - p     q  = 0,8712

z(c) *√ p*q* ( 1/n₁  +  1 / n₂ ) = 2,325 * √ 0,1288*0,8712 ( 1 / 500 + 1/ 400)

2,235 * 0,02247

z(c) *√ p*q* ( 1/n₁  +  1 / n₂ ) = 0,052

Then

CI 99 %  =  0,074  ±  0,052

CI 99% = (  0,022  ;  0,126 )

The difference between the groups shows that the proportion in the second group was bigger than in the first group.

The CI in the context of the problem is  CI 99% = (  0,022  ;  0,126 )

Given first sample is  

n₁  = 500

x₁  = 48

  [tex]P_{1} =\dfrac{X_{1} }{n_{1} }[/tex]      [tex]P_{1} =\dfrac{48}{500}[/tex]      

p₁  =  0,096      p₁  = 9,6 %

Given second sample

n₂  = 400

x₂  = 68

[tex]P_{2} =\dfrac{X_{2} }{n_{2} }[/tex]      [tex]P_{2} =\dfrac{68}{400}[/tex]        

p₂  =  0,17       p₂  = 17 %

Since given CI = 99 %    so significance level  α = 1 %     α  = 0,01

From Z-Table  z(c)  for α= 0,01  is = 2,325

CI  =   [tex](P_{2} -P_{1}[/tex]   ±    [tex]Z(c)\sqrt[2]{p\times q} (\dfrac{1}{n_{1} } +\dfrac{1}{n_{2} } )[/tex]  

Where

p₂  -  p₁  =  0,17 - 0,096 = 0,074

[tex]P= \dfrac{X_{1} +X_{2} }{n_{1}+n_{2} }[/tex]

[tex]P=\dfrac{48+68}{500+400}[/tex]

[tex]P=\dfrac{116}{900}[/tex]

p = 0,1288     and   q = 1 - p     q  = 0,8712

[tex]Z(c)\sqrt[2]{p\times q} (\dfrac{1}{n_{1} } +\dfrac{1}{n_{2} } )[/tex]  [tex]2325\times\sqrt[2]{0.1288\times 0.8712} (\dfrac{1}{500_{} } +\dfrac{1}{400_{} } )[/tex]

  [tex]Z(c)\sqrt[2]{p\times q} (\dfrac{1}{n_{1} } +\dfrac{1}{n_{2} } )=0.052[/tex]

Then

CI 99 %  =  0,074  ±  0,052

CI 99% = (  0,022  ;  0,126 )

Hence the difference between the groups shows that the proportion in the second group was bigger than in the first group.

To know more about Chi square follow

https://brainly.com/question/4543358

Step-by-step explanation:

Several ways in which television can disrupt or alter sleep patterns:

People who don't watch Television won't have these problems.

Step-by-step explanation:

Step-by-step explanation: Here's your solution

Step-by-step explanation: Here's your solution=> x^2 - 64 > 0

Step-by-step explanation: Here's your solution=> x^2 - 64 > 0 => x^2 > 64

Step-by-step explanation: Here's your solution=> x^2 - 64 > 0 => x^2 > 64 => x = 6√64

=. x = 2

hope it helps

Answer:

Nine to thirty-six equals ten to forty.

Step-by-step explanation:

The word ‘to’ can be substituted in for the colon (:). This is to denote the mathematical concept of ratios.

The word ‘equals’ can be used in place of the equal sign (=).

Answer:

28 apples and 22 peaches

Step-by-step explanation:

<3

Answer: 37 pieces of candy

Step-by-step explanation:

24-8.50 is 15.50 she wants to save 6.25, so, 15.50-6.25 is 9.25. 9.25 divided by the cost of each candy (0.25) is 37

Answer:

42

Step-by-step explanation:

(8+13)*4/2 = 42

Answer:

42 in

Step-by-step explanation:

Answer:

D

Step-by-step explanation: