What is the value of z?
117°

Answer:

A.) All the observations are the same value

Step-by-step explanation:

One of the statistical measures used to determine the spread or variability of a dataset is the variance or standard deviation. The standard deviation determines how a set of value varies about the mean value.

Mathematically,

Variability or spread = mean + number of standard deviations

Hence, a standard deviation of 0 ; means they there is no variability in the dataset. Hence, a standard deviation of 0 means all observations are of the same value.

For a set of data with a standard deviation of 0, the correct option is:

A: "All the observations are the same value."

For a given set {x₁, x₂, ...} with N elements.

With a mean M, we define the standard deviation as:

[tex]S= \sqrt{\frac{\sum (x_i - M)^2}{N - 1} }[/tex]

Notice that, because we have a squared element in the sum, all the elements of the sum are positive. So if we have a single value of the set that is different than the mean, then the standard deviation will be larger than zero.

Then the only case where the standard deviation is zero is the case where all the elements of the set are equal to the mean of the set, and that only happens if all the elements of the set are equal.

So the correct option is A:

"All the observations are the same value. "

If you want to learn more about standard deviation, you can read:

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Answer:

First side, a = 8 ft.

Second side = 12 ft.

Third side, c = 18 ft.

Step-by-step explanation:

Let the sides of the triangle be a, b and c respectively.

Given the following data;

Perimeter = 38ft

First side, a = b - 4

Third side, c = b + 4

The perimeter of a triangle is given by the addition of all its three (3) sides.

Mathematically, the perimeter of a triangle is given by the formula;

P = a + b + c

Substituting into the equation, we have;

38 = (b - 4) + b + (b + 6)

38 = 3b + 2

3b = 38 - 2

3b = 36

b = 36/3

b = 12ft

To find the first side, a;

a = b - 4

a = 12 - 4

a = 8ft.

To find the third side, c

c = b + 6

c = 12 + 6

c = 18 ft.

Answer:

24 miles

Step-by-step explanation:

3 hours = 180 minutes

[tex]\frac{4}{y}: \frac{30}{180}[/tex]

y × 30 = 4 × 180

30y = 720

30y ÷ 30 = 720 ÷ 30

y = 24

Answer:

the scale factor is 3.

Answer:

The scale factor is 3.

Answer:

12.5- the cost, in dollars, for tile per square foot

x(x+2)- the area, in square feet, of the room

400- the flat rate, in dollars, the company charges for installation

The length and width of the rectangular room is L = x feet , W = ( x + 2 ) feet

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular room be A

Now , the length of the room L = x feet

And , length of a certain room is 2 feet more than its width

The width of the room W = ( x + 2 ) feet

The total charge for tiling the room C = 12.5 x ( x + 2 ) + 400

Now , the area of the rectangular room A = x ( x + 2 ) feet²

So , the width, in feet, of the room = ( x + 2 ) feet

The length, in feet, of the room = x feet

The area, in square feet, of the room = x ( x + 2 ) feet²

The cost, in dollars, for tile per square foot = $ 12.50

The amount of materials needed to cover the room's floor = 12.5 x ( x + 2 )

The flat rate, in dollars, the company charges for installation = $ 400

Hence , the expressions are solved and the area of rectangle is x ( x + 2 ) feet²

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#SPJ3

Answer:

School, Looking at what episode of anime I am on, Looking at the time, Looking at my calendar, and another is when I am doing brain teasers!

Step-by-step explanation:

Does this count?

Answer:

Time deltas

Step-by-step explanation:

Answer:

A) (5x+2)(x-3)

Step-by-step explanation:

step 1: 5x^2 + 2x - 15x - 6

step 2: x(5x+2)-3(5x+2)

step 3: (5x+2)(x-3)

Answer:

Step-by-step explanation:

(5x + 2)(x - 3)

answer is A

Answer:

12

Step-by-step explanation:

Answer:

915'000.+123=915,123

Answer:

7

Step-by-step explanation:

V = l x w x h

=7/2 x 4/3 x 3/2

=84/12

=7 feet cubed

Answer:

D.Since m(x) = -(x + 4)(x-7), the zeros for m(x) are -4 and 7.

Step-by-step explanation:

Answer:

Step-by-step explanation:

So first you want to take the constants of -x^2 (which would be -1) and -28 and multiply them to get the product of 28.

Since the other constant of 11x is 11, you want to find 2 numbers whose sum give you 11 and whose product give you 28. That would be 4 and 7, because 4 + 7 = 11 and 4 * 7 = 28. But since you have -x^2 you will want to put a negative sign in front of one of your x variables and in front of 4 or 7, so that you still get 11x when you factor it out.

So you would set up the equation like this (-x+4)(x-7) = 0. To make it easier to find the values of x, you could just write it out as -x+4 = 0 and x-7 = 0. Than you solve for x in botn euqations.

Then you would find out that x = 4, 7.

Does this help?

To make things easier, first rewrite

f(x) = x / (x + 7/x) = x ² / (x ² + 7)

i.e. multiply f by x/x, which is valid because x can't be 0 anyway as it's outside the domain of f.

Now, by the quotient and chain rules, we get

f '(x) = ((x ² + 7) (x ²)' - x ² (x ² + 7)') / (x ² + 7)²

… = (2x (x ² + 7) - x ² (2x)) / (x ² + 7)²

… = (2x ³ + 14x - 2x ³) / (x ² + 7)²

… = 14x / (x ² + 7)²

f ''(x) = ((x ² + 7)² (14x)' - (14x) ((x ² + 7)²)') / ((x ² + 7)²)²

… = (14 (x ² + 7)² - (14x) (2 (x ² + 7)² (x ² + 7)')) / (x ² + 7)⁴

… = (14 (x ² + 7)² - (14x) (2 (2x) (x ² + 7)²)) / (x ² + 7)⁴

… = (14 (x ² + 7)² - 4x (14x) (x ² + 7)²) / (x ² + 7)⁴

… = 14 (x ² + 7)² (1 - 4x) / (x ² + 7)⁴

… = 14 (1 - 4x) / (x ² + 7)²

… = (14 - 56x) / (x ² + 7)²

Answer:

a)19.93    b)2171.89

Step-by-step explanation:

a) As there are no brackets first do the equation

16.3-4.97 which is 11.33

then you add 8.6 onto that which is 19.93

b)2.164.89+7=2171.89

Answer:

zy^5

Step-by-step explanation:

Answer:

A and B are true

Step-by-step explanation:

Answer:

it is reflected in the x-axis so y=0

Answer:

B. A triangle with side lengths 9 12 15

Step-by-step explanation:

9/3= 3

12/3= 4

15/3 = 5

A perfect right triangle is 3, 4, 5.

Answer:

1/4,5/9,6/8,4/5

Step-by-step explanation:

Answer:

4

6

10

Please give me brainliest, I really need it.

Answer:

g(-4) = 1

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

What g(-4) is saying is what the output of the function g(x) when x= -4. According to the graph, when x = -4, y = 1.

∴ g(-4) = 1

18.58

May Nilbin Be With You

Answer:

60.96 meters

Step-by-step explanation:

Multiply 10 by 20, multiply that answer by 0.3048

Answer:

x = 22

Step-by-step explanation:

We need to find the value of x for the given equation.

[tex]\dfrac{\dfrac{1}{5}}{\dfrac{1}{11}}=\dfrac{x}{10}\\\\\dfrac{1}{5}\times 11=\dfrac{x}{10}[/tex]

Cross multiplying both sides,

[tex]11\times 10=5x\\\\x=\dfrac{11\times 10}{5}\\\\x=11\times 2\\\\x=22[/tex]

So, the value of x is equal to 22.

Answer:

A(t) = 90e^0.12t ;

299 mg

Step-by-step explanation:

General Continous growth rate equation :

A = Pe^rt

A = amount present, t years after year of initial amount.

Here,

P = 90 mg, amount in year 2000

r = rate = 12% = 0.12

t = years after 2000

Therefore,

A is written as ;

A(t) = 90e^0.12t

Amount present in year 2010 ;

t = 2010 - 2000 = 10

A(10) = 90e^0.12(10)

A(10) = 90 * e^1.2

= 90 * 3.3201169

= 298.81052

= 299 mg

Answer:

The answer is 144 mhw

Answer:

[tex]3m^{2} 3h^{6}3w^{4}[/tex]

Step-by-step explanation:

[tex]3(m^{2} h^{6}w^{4})\\3m^{2} 3h^{6}3w^{4}[/tex]

Answer:

B

Step-by-step explanation:

5×3=15

17+15=32

Step-by-step explanation:

3÷17=15

15+5=20

Answer:

Step-by-step explanation:

Answer:

k = 2.8

Step-by-step explanation:

Subtract 3.9 from both sides of the equation

k + 3.9 = 6.7

k + 3.9 - 3.9 = 6.7 - 3.9

k = 3.9 - 6.7

k = 2.8

Answer:

Step-by-step explanation:

4x-5 = 3x