what is the standard deviation and variance of 10, 10, 10, 10, 13, 20, 23, 32, 32, 32, 32, 47, 50, 53, 60, 60, 63, 72, 72, 72, 72, 80, 82, 91, 93, 99. show solution

Step-by-step explanation:

the answer is in the above image

Answer:

The solution is (5, 3)

Step-by-step explanation:

To solve this system of linear equations, let's use elimination by addition and subtraction.  This approach is particularly easy because one equation already has +y and the other -y, summing up to zero:

4x+y=23

3x-y=12

---------------

7x   = 35

Then x must be 5.  

Substituting 5 for x in the first equation, we get

4(5) + y = 23.  Then 20 + y = 23, or y = 3.

The solution is (5, 3)

A rotation maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.

A rotation preserves lengths of segments.

A rotation preserves measures of angles. Step-by-step explanation:

You Welcome :)!

Answer:

The correct value is t* = 2.492.

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.492, which is the answer to this question.

Answer:

angle degrees is 60

so the answer would be A

Step-by-step explanation:

because there are 6 sides, 360 is divided by 6.

Answer:

2r² - 60r - 45 = 0

Step-by-step explanation:

Hang on this is going to be convoluted

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Area of pond

a = πr²

Area of path

a = πr²/10

Combined Area

a = πr² + πr²/10

a = π(r² + r²/10)

---------------------------

The Combined Area can also be expressed as

a = π(r + 1.5)²

a = π(r² + 3r + 2.25)

-----------------------------

Set the areas equal

π(r² + r²/10) = π(r² + 3r + 2.25)

Divide both sides by π

r² + r²/10 = r² + 3r + 2.25

Subtract r² from both sides

r²/10 = 3r + 2.25

Multiply both sides by 20

2r² = 60r + 45

Subtract 60r + 45 from both sides

2r² - 60r - 45 = 0

We are given these three people age below:

We define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.

Next, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.

Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).

The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.

[tex] \large{x + x + 5 + 6 + x + 5 = 31}[/tex]

Combine like terms and solve for x.

[tex] \large{3x + 16 = 31} \\ \large{3x = 31 - 16} \\ \large{3x = 15} \\ \large{x = 5}[/tex]

Then we substitute the value of x in ages to find these three people ages.

Answer

Answer: The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]

Step-by-step explanation:

Let x be the total distance to grandmother's house .

As per given,

Distance traveled on Saturday = [tex]\dfrac58x[/tex]

Remaining distance = [tex]x-\dfrac58 x[/tex]

[tex]=\dfrac38x[/tex]

Distance traveled of Sunday = [tex]\dfrac13[/tex] of Remaining distance

= [tex]\dfrac13\times\dfrac{3}{8}x[/tex]

= [tex]\dfrac18 x[/tex]

The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]

Answer:

28 square units

Step-by-step explanation:

count the middle and edgr squares then u can just put the parts of the square together

option C is correct because a line bisecting parallel lines makes the same angle on each line at the point of intersection

so they all will make 61°

Answer:

20 %

Step-by-step explanation:

If she saved 15 dollars and paid 60, the original price was 60+15 = 75

The percent discount is  (original - new) / original = ( 75-60)/75 = 15/75 = .2

Change to percent form = .2 * 100 =20%

Answer:

B.) 20 %

The percentage discount on the shoes is 20 % .

Step-by-step explanation:

She pays 60 dollers and saved 15 dollers on the regular price.

original price of pair of shoes = 60 + 15 = 75

Percentage discount is = original price - new price / original price

= 75 - 60 / 75 = 15 / 75 = 0.2

Percentage discount = 0.2

Change into percentage =0.2× 100 = 20%

Therefore, the percentage discount on the shoes is 20 % .

Answer:

c y=1/2x+40

because it's positive (up). /

The lengths of the horizontal sides of the science class is larger than the

length of the horizontal side of the math class.

Reasons:

The given vertices of the science classroom are;

(-3·x₁, y₁), (-3·x₂, y₂), (-3·x₃, y₃), and (-3·x₄, y₄)

The coordinates of the vertices math classroom are;

(x₁, y₁), (x₂, y₂), (x₃, y₃), and (x₄, y₄)

Whereby x₁ = x₄, we have;

Length of the vertical side of the rectangular math class = y₁ - y₄

Length of the horizontal side, [tex]L_M[/tex] = x₂ - x₁

Similarly;

The length of the horizontal side of the science class is, [tex]L_S[/tex] = -3·x₂ - (-3·x₁)

Therefore;

[tex]L_S[/tex] = 3·(x₁ - x₂) = [tex]\mathbf{3 \cdot L_M}[/tex]

The length of a side of the science is three times the length of the side of

the math class, which gives that the dimensions of the science class are not

the same as the the dimensions of the math class.

Therefore;

The science class and the math class are not congruent

Learn more about non-rigid transformation here:

https://brainly.com/question/2396426

Answer:

17%

Step-by-step explanation:

Percent decrease

[tex] = \frac{72000 - 60000}{72000} \times 100 \\ \\ = \frac{12000}{72000} \times 100\\ \\ = \frac{1200000}{72000} \\ \\ = 16.67 \% \\ \\ \approx \: 17 \%[/tex]

Answer:

x=36.08

Step-by-step explanation:

Given: From the given triangle DEF, ∠E=[tex]90^{0}[/tex]

DF=55

and DE= x

To find the value of x

According to trigonometry rule,

[tex]\frac{x}{55} =cos49^{0} \\x=55(cos 49^{0} )\\x=55(0.656)\\x=36.08[/tex]

Therefore, the value of x will be 36.08

Answer: x=-3

Step-by-step explanation:

Ok let's start by using the distributive property

[tex](-5)(x)+(-5)(7)=-14+2x\\-5x-35=-14+2x[/tex]

Now subtract 2x from both sides

[tex]-5x-35-2x=2x-14-2x\\-7x-35=-14[/tex]

Next add 35 to both sides

[tex]-7x-35+35=-14+35\\-7x=21[/tex]

Finally divide both sides by -7

[tex]\frac{-7x}{-7} =\frac{21}{-7} \\x=-3[/tex]

Answer:

x = -3

Step-by-step explanation:

First, we compute -5(x + 7). -5(x + 7) = -5x - 35. Plugging this into the equation, we have -5x - 35 = -14 + 2x Next, we combine like terms by moving all terms with the variable x to the left side. We have -5x - 2x = -14 + 35. We simplify the equation into -7x = 21. Divide 21 by -7, and we get x = -3.

Answer:

Rs 192000

Step-by-step explanation:

area of floor = l*b

=60 * 40

=2400 m^2

cost of polishing per square cm of the floor is Rs 80

cost of polishing floor = 2400 * Rs 80

=Rs 192000

Answer: hello the views attached to your question is missing hence I will provide a more general answer based on the scope of your question

answer :

a) 8 unit cubes

b) 1 unit cube

Step-by-step explanation:

The number of views a solid figure can have are : Top view , Front view and side view  and The greatest number of unit cubes in a solid depends on the side length of the unit cube

a) For a unit cube with side length half ( 1/2) the Unit length of the given solid the greatest number of unit cubes = 8  while

b) The least number of unit cube = 1  

Answer:

Zoom in more and I can help

Step-by-step explanation:

Answer:

D) x = 4

Step-by-step explanation:

18 - 4x = 10 - 2x

10 - 2x = 18 - 4x

10 - 2x + 4x = 18 - 4x + 4x

10 + 2x = 18

10 - 10 + 2x = 18 - 10

2x = 8

2x ÷ 2 = 8 ÷ 2

x = 4

Answer:

$375

Step-by-step explanation:

Method I

25% = .25

500 * .25 = 125

500 - 125 = 375

-----------------------

Method II

1 - .25 = .75

500 * .75 = 375

Answer:

35, 67 and 78

Step-by-step explanation:

the angles are:

n, 2n-3 and 2n+8

there are 180 degrees in a triangle, so adding those terms together will give us 180

5n + 5 = 180

180 - 5 = 175

5n = 175

175 / 5 = 35

n = 35

now we have n we can put it in to the formula we have for the angles at the start:

n = 35

2n - 3 = 67

2n + 8 = 78

so the angles are

35, 67 and 78

Answer:

see explanation

Step-by-step explanation:

(a)

The consecutive angles are supplementary, sum to 180° , then

3y + 2y - 5 = 180

5y - 5 = 180 ( add 5 to both sides )

5y = 185 ( divide both sides by 5 )

y = 37

Then ∠ A = 3y = 3 × 37 = 111

The opposite angles are congruent , then

3x + 3 = 111 ( subtract 3 from both sides )

3x = 108 ( divide both sides by 3 )

x = 36

---------------------------------------------------------------------

(b)

The diagonals bisect each other , so

x + 8 = 16 - x ( add x to both sides )

2x + 8 = 16 ( subtract 8 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

and

5y + 4 = 2y + 13 ( subtract 2y from both sides )

3y + 4 = 13 ( subtract 4 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

Answer:

904.78

Step-by-step explanation:

Answer:

Answer 3.0/528 claudiasai 88-2n + 2927,25,23,21,19- 2 difference- 2n + 29-2 x (1 ) + 29 =27-2 x (3) +29 =23

Step-by-step explanation:

Write a recursive formula for each sequence. 3. 1, 6, 11, 16, ... SOLUTION: ... Check for a common ratio by dividing each term by the term that precedes it. = 3 ;. = 3 ; ... 19. 100, 80, 64, 51.2, ... SOLUTION: Subtract each term from the term that follows it. ... Patrick thinks that the sequence can be written as a recursive formula​.

Answer:

[tex]a_{n}[/tex] = 27 - 8n

Step-by-step explanation:

There is a common difference between consecutive terms, that is

11 - 19 = 3 - 11 = - 8

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 19 and d = - 8 , then

[tex]a_{n}[/tex] = 19 - 8(n - 1) = 19 - 8n + 8 = 27 - 8n ← general rule

Answer:

25 because I need to use mayh