Please help me with this question.

Solution :

Number      Values (X)       [tex]$\sum (X_i - \bar X)^2$[/tex]

    1               121.5            193494.4144

   2               138.9            178489.3504

   3                155.7    164576.2624

   4           172            151616.7844    

   5               172.9            150916.7104

  6              196.5             133137.4144

   7              202.3            128938.4464

  8              202.7            128651.3424

  9              334.5            51474.5344

  10               504            3292.4644

   11              563.7              5.3824

   12       574.1              161.7984

   13                935           139591.9044

  14              952.6        153053.0884

   15     3194.3           6932267.726

Total             8420.7         8509667.624

Mean [tex]$\bar X = \sum \frac{X_i}{n}$[/tex]

              [tex]$=\frac{8420.7}{15}$[/tex]

              = 561.38

Median :

[tex]$Q_2 = \left(\frac{1}{2}n+\frac{1}{2}\right)^{th}$[/tex]value

     [tex]$ = \left(\frac{1}{2}\times 15+\frac{1}{2}\right)^{th}$[/tex]value

    = 202.7

Percentile = [tex]$\left(\frac{P}{100} \times n + \frac{1}{2}\right)^{th}$[/tex]  value

                 = [tex]$\left(\frac{50}{100} \times 15 + \frac{1}{2}\right)^{th}$[/tex] value

                 = 202.7

Percentile = [tex]$\left(\frac{P}{100} \times n + \frac{1}{2}\right)^{th}$[/tex]  value

                 = [tex]$\left(\frac{40}{100} \times 15 + \frac{1}{2}\right)^{th}$[/tex] value

                 = 198.82

Percentile = [tex]$\left(\frac{P}{100} \times n + \frac{1}{2}\right)^{th}$[/tex]  value

                 = [tex]$\left(\frac{90}{100} \times 15 + \frac{1}{2}\right)^{th}$[/tex] value

                 = 1849.28

[tex]$Q_1 = \left(\frac{1}{4}n+\frac{1}{4}\right)^{th}$[/tex]value

     [tex]$ = \left(\frac{1}{4}\times 15+\frac{1}{4}\right)^{th}$[/tex]value

    = 172

[tex]$Q_3 = \left(\frac{3}{4}n+\frac{3}{4}\right)^{th}$[/tex]value

     [tex]$ = \left(\frac{3}{4}\times 15+\frac{3}{4}\right)^{th}$[/tex]value

    = 574.1

Therefore, the range = highest value - lowest value

                                  = 3194.3 - 121.5

                                  = 3072.8

Now the interquartile range = [tex]$Q_3-Q_1$[/tex]

                                              = 574.1 - 172

                                             = 402.1

Answer: 8x62 i found this so here is why this is correct hope it helps!

( I am a middle schooler btw)

Step-by-step explanation: 8 x 60 = 480 + 2 =482 so 8 x 62 is correct

Step-by-step explanation:

<A + < B = 90° { being complementary angles)

2x + 10° + 3x + 15° = 90°

5x = 90° - 15° - 10°

5x = 65°

x = 13°

Now

<B = 3x + 15° = 3 *13° + 15° = 54°

Hope it will help :)

5( y + 2/5) = -13

Distribute the 5 by multiplying the 5 by each term inside the set of parentheses:

5y + 2 = -13

Subtract 2 from both sides:

5y = -15

Divide both sides by 5:

Y = 3

The answer is y = 3

Answer:

[tex] \frac{1}{ 2\sqrt{7} } [/tex]

Step-by-step explanation:

[tex] \lim_{x\to 0} \frac{ \sqrt{x + 7} - \sqrt{7} }{x} \\ \\ = \lim_{x\to 0} \frac{( \sqrt{x + 7} - \sqrt{7}) }{x} \times \frac{( \sqrt{x + 7} + \sqrt{7}) }{( \sqrt{x + 7} + \sqrt{7}) } \\ \\ = \lim_{x\to 0} \frac{( \sqrt{x + 7} )^{2} - (\sqrt{7})^{2} }{x( \sqrt{x + 7} + \sqrt{7})} \\ \\ = \lim_{x\to 0} \frac{( {x + 7} - {7}) }{x( \sqrt{x + 7} + \sqrt{7})} \\ \\ = \lim_{x\to 0} \frac{ {\cancel x}}{\cancel x( \sqrt{x + 7} + \sqrt{7})} \\ \\ = \lim_{x\to 0} \frac{ {1}}{\sqrt{x + 7} + \sqrt{7}} \\ \\ = \frac{1}{ \sqrt{0 + 7} + \sqrt{7} } \\ \\ = \frac{1}{ \sqrt{7} + \sqrt{7} } \\ \\ = \frac{1}{ 2\sqrt{7} } [/tex]

Answer:

-8

Step-by-step explanation:

The final temperature was -18 °F if it decreased by 5 degrees.

The addition operation in mathematics adds values on each side of the operator.

For example 4 + 2 = 6

The temperature was -13 °F and then dropped 5 degrees.

As per the question, we have data as follows:

The initial temperature = -13 °F

The changed temperature = -5 °F (negative sign indicates temp dropped)

Final temperature = initial temperature + changed temperature

Final temperature = -13 °F + (-5 °F)

Final temperature = -13 °F - 5 °F

Apply the addition operation, and we get

Final temperature = -18 °F

Therefore, the final temperature was -18 °F.

Learn more about Addition operations here:

brainly.com/question/25834626

#SPJ2

The scale factor is 4.

Important information:

From the given figure it is clear that:

DG = 2

D'G' = 8

The scale factor is:

[tex]k=\dfrac{D'G'}{DG}[/tex]

[tex]k=\dfrac{8}{2}[/tex]

[tex]k=4[/tex]

Therefore, the scale factor is 4.

Find out more about 'Scale factor' here:

https://brainly.com/question/19896181

Answer:

88

Step-by-step explanation:

Answer:

x = 5.4

Step-by-step explanation:

3/x = 4/7.2

cross-multiply:

4x = 21.6

x = 5.4

Answer:

Assuming the question is about the area of the "house" it's 70.

Step-by-step explanation:

The triangle's height is 18 - 10 = 8

The area of the rectangle is 5 * 10 = 50

The area of the triangle is 5 * 8 / 2 = 20

The total area is 50 + 20 = 70

Answer:

y = 1/10x

Step-by-step explanation:

We see that it intersects points (60,6), (120,12), and (0,0)

y = mx + b

m = 6/60 = 1/10

b = 0

y = 1/10x

Answer:

1. Mean = 55.8

Median = 23

Mode = None

2. Mean = 2.1

Median = 1.4

Mode 0.5

3. Mean = 4.5

Median = 4.5

Mode = 1,4, 5, 8

4. Mean 68

Median 58

Mode = 0

Step-by-step explanation:

Mean = 17 + 25 + 23 + 200 + 14 / 5 = 279/5 = 55.8

Median= Because its odd you put them in order 17, 14, 23, 25, 200 = 23 because it is the middle number. Mode = None

2. Mean = 0.5 + 1.4 + 3.0 + 7.0 + 0.5 +1.8 + 0.5 = 14.7 = 14.7/7 = 2.1

Median = because it is odd you put them in order 0.5, 0.5, 0.5, 1.4, 1.8, 3.0, 7.0 = 1.4 The mode is 0.5 because it repeats three times

3. Mean = 1 + 8 + 5 + 4 + 1 + 8 + 5 + 4 = 36/8 =4.5

Median = Because its even you divide by the two middle numbers = 1, 1, 4,4, 5, 5 , 8 , 8 = 4+5 = 9/2 = 4.5 Mode = 1, 4, 5, and 8 are the numbers that are repeated most often.

Mean = 0+78+99+58+65+0+47+38+227 = 68 Median, Because there is an odd number you get the odd number from the middle. 0, 0, 38, 47, 58, 65, 78, 99, 227 = 58 Mode = 0 because it repeats more often.

Sorry I kept commenting I'm new to this platform!

Answer: 252

Step-by-step explanation:

You just multiply 84 by two and then ad another 84.

Answer:

12

Step-by-step explanation:

For these problems you should use the pythagorean theorem: a^2+b^2=c^2

In this case, 13=c and 5=a

so:

5^2+x^2=13^2

25+x^2=169

subtract 25 from both sides

x^2=144

√144=12

missing side=12

The "M" in M-value stands for "Maximum." For a given ambient pressure, an M-value is defined as the maximum value of inert gas pressure (absolute) that a hypothetical "tissue" compartment can "tolerate" without presenting overt symptoms of decompression sickness (DCS).

Hope this helps you if it does pls mark me brainiest

Answer:

-107

Step-by-step explanation:

x4-5^3+ 3^2-2x + 7

2x−109/x−1

1   2   −109

    2

second step

1   2                    -109

                    1 * 2 = 2

    2 (-109) + 2 = -107

Coefficients are 2, and -107

Therefore the quotient is 2 and the remainder is -107

Answer:

Step-by-step explanation:

Answer:

5.6

Step-by-step explanation:

First five prime numbers are 2, 3, 5, 7 and 11. The mean or the average formula is = Sum/number of items = (2 + 3 + 5 + 7 +11)/5 = 5.6

Answer:

Step-by-step explanation:

x = 100° ( being vertically opposite angles )

hope it helps :)

Answer:

The length of Louis's basement is 85 feet.

Step-by-step explanation:

The area of the basement, A = 4,335 square feet

The width of the basement is  3/5 its length.

Let length be l.

Width = (3/5)l

The area of the basement is given by :

[tex]A=l\times b\\\\4,335 =l\times \dfrac{3}{5}l\\\\4,335 =\dfrac{3}{5}l^2\\\\l^2=\dfrac{4,335 \times 5}{3}\\\\l=\sqrt{\dfrac{4335\times5}{3}}\\\\l=85\ ft[/tex]

So, the length of Louis's basement is 85 feet.

Answer:

-0.86

Step-by-step explanation:

Answer:

faster then the other one

Answer:

[tex] (45 - 5) \div 5 + {6}^{2} \\ 40 \div 5 + {6}^{2} \\ 8 + {6}^{2} \\ 8 + 36 \\ 44 \: answer [/tex]

Answer:

True

Step-by-step explanation:

Answer:

Tris-HCl (0.5M Tris Base, pH7.6):

Trizma Base ---------------------------------- 61 g

Distilled water ------------------------------- 1000 ml

Adjust pH 7.6 using concentrated HCl

Store this solution at room temperature. Dilute 1:10 with distilled water before use

and adjust pH if necessary.

20X Tris-HCl (1M Tris Base, pH7.6):

Trizma Base ---------------------------------- 122 g

Distilled water ------------------------------- 1000 ml

Adjust pH 7.6 using concentrated HCl

Store this solution at room temperature. Dilute 1:20 with distilled water before use

and adjust pH if necessary.

10X Tris-HCl-Tween 20 (0.5M Tris Base, 0.5% Tween 20, pH7.6):

Trizma Base ---------------------------------- 61 g

Distilled water ------------------------------- 1000 ml

Adjust pH 7.6 using concentrated HCl and then add 5 ml of Tween 20.

Store this solution at room temperature. Dilute 1:10 with distilled water before use

and adjust pH if necessary.

Note: Tris-HCl Buffer is used for specific cases of immunohistochemical staining.

*** OR you can use Tris Base to make Tr

Answer:

12 ×$0.75 =$8.00

3.75 ÷ 5 = $1.33 a pound,

$1.33 × 12 = $15.96 so store A is offering the best rate.

It is found that Store B is offering the best unit rate for the bananas.

There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.

Given that Grocery Store A is selling bananas 1/2 pound for $0.75 .

Grocery Store B is selling 5 pounds of bananas for $3.75.

According to the question,

Store A is selling bananas 1/2 pound for $0.75 .

Therefore,

For one pound will be;

= 0.75/0.5

= 1.5

And store B is selling 5 pounds of bananas for; $3.75

Therefore,

One pound will cost;

3.75/ 5 = 0.75

Hence, Store B is offering the best unit rate for the bananas.

To know more about the Division click the link given below.

brainly.com/question/19704059

#SPJ6

Answer:

think its 4 and 6

Step-by-step explanation:

Please open each section so i can answer

Answer:

x = 90 degrees

y = 28 degrees

Step-by-step explanation:

x: all the angles in the middle are 90

y: 180 - 90 - 62 = 28

Answer:

24

Step-by-step explanation:

1st u do the inverse which is 15+9=24

24-15=9