What is the mean of the set of data given below? 13 8 9 6 10 8​

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]

The angle of elevation of a kite is 53.13°

"It is the angle formed by the line of sight and the horizontal plane for an object above the horizontal surface."

"For a right triangle, the sine of acute angle [tex]\theta[/tex] is,

[tex]sin(\theta)=\frac{opposite ~side}{hypotenuse}[/tex]"

For given question,

Consider the following diagram for given question.

The length of the string (AC) = 50m

The kite is flying 40m vertically above the ground.

⇒AB = 40m

We need to find the angle of elevation [tex]\theta[/tex]

Consider the sine of angle  [tex]\theta[/tex]

[tex]\Rightarrow sin(\theta)=\frac{AB}{AC} \\\\\Rightarrow sin(\theta)=\frac{40}{50}\\\\\Rightarrow sin(\theta)=0.8\\\\\Rightarrow \theta=sin^{-1}(0.8)\\\\\Rightarrow \theta=53.13^{\circ}[/tex]

Therefore, the angle of elevation of a kite is 53.13°

Learn more about the angle of elevation here:

https://brainly.com/question/21137209

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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:

pretty sure its twenty

Step-by-step explanation:

you have to subtract the maximum from the minimum values

so 25-5=20

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Step-by-step explanation:

sorry I don't know the answer I want some points so because I do this I really really sorry. and thanks for point

Answer:

42

Step-by-step explanation:

(8+13)*4/2 = 42

Answer:

42 in

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

f(x) = 4x + 7

so

f(a + h) = 4(a + h) + h

          = 4a + 4h +h

          = 4a + 5h

f(a) = 4a + 7

now by the question

[tex]\frac{f(a+h) - f(a)}{h}\\=\frac{4a + 5h - 4a + 7}{h}\\=\frac{ 5h + 7}{h} \\= \frac{5h}{h} + \frac{7}{h} \\= 5 +\frac{7}{h}[/tex]

hope it helps :)

Answer:

If you think numbers with fractions are annoying, consider transforming the number into fractions!

Step-by-step explanation:

7 1/2 is (14+1)/2, and 3 1/8 is (24+1)/3. Not you have 15/2 miles for 25/3 days and by dividing them you get 0.9 miles a day

Answer:

Number of game package = 16.5

Number of food package = 8.5

Step-by-step explanation:

LET :

Food package = a

Game package = b

a + b = 25 - - - (1)

20a + 32b = 602 - - - (2)

a = 25 - b

Put a = 25 - b into (2)

20(25 - b) + 32b = 602

500 - 20b + 32b = 602

12b = 102

b = 102 / 12

b = 8.5

a = 25 - b

a = 25 - 8.5

a = 16.5

Number of game package = 16.5

Number of food package = 8.5

Answer:

63degrees

Step-by-step explanation:

Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.

Given

angle of its intercepted arc = 126 degree

Required

angle at the vertex = x =<XYZ

According to the theorem;

x = 1/2(126)

x = 126/2

x = 63

Hence the measure of <XYZ is 63degrees

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: 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:

He drinks 6 cups a day.

Step-by-step explanation:

1 pint - 2 cups

3 x 2 = 6

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Answer:

6 cups.

Step-by-step Explanation:

1 pint is equal to 2 cups.

Therefore, 3 pints of milk is equal to 2 cups of milk.

Answer:

1 / 2

Step-by-step explanation:

Cos 60°

= 1 / 2

1 / 2 is the answe.

Answer:

v=433.33

Step-by-step explanation:

Answer: y = 3,x =7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Edge 2022

Answer:

c

Step-by-step explanation:

2/3 in

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:

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 (=).

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.

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%

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:

Reflected OVER Y makes A

A (-7,3) -> (7,3)

Translated makes

A (7,3) -> (7-5, 3-5) = (2,-2)

B)

Step-by-step explanation:

Answer: =3x^3+5

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

Answer:

Step-by-step explanation:600

Answer:

25

Step-by-step explanation:

a square has 4 sides.

100/4=25

Answer:

D

Step-by-step explanation:

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.

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