A tool that uses time-ordered values of a sample statistic to help detect the presence of correctable causes of variation in a process is a(n)

[tex]\\ \rm\Rrightarrow cos40=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow cos40=\dfrac{a}{10}[/tex]

[tex]\\ \rm\Rrightarrow 0.766=a/10[/tex]

[tex]\\ \rm\Rrightarrow a=0.766(10)[/tex]

[tex]\\ \rm\Rrightarrow a=76.6[/tex]

Answer:

7.66 (dp)

Step-by-step explanation:

Use the cosine trig ratio:

[tex]\mathsf{\cos(\theta)=\dfrac{A}{H}}[/tex]

where:

Given:

Substituting the given values into the equation:

[tex]\implies \mathsf{\cos(40)=\dfrac{a}{10}}[/tex]

[tex]\implies \mathsf{a=10\cos(40)}[/tex]

[tex]\implies \mathsf{a=7.660444431...}[/tex]

[tex]\implies \mathsf{a=7.66 \ (2 \ dp)}[/tex]

Considering the amounts in each table, the difference function is given as follows:

x|          1       2     3         4

(f - g)(x)|1.74 7.41  17.21   31.34

At each value of x, the difference function (f - g)(x) is given by f(x) - g(x).

Hence, from the table given:

(f - g)(1) = f(1) - g(1) = 1,576.74 - 1,575 = 1.74.

(f - g)(2) = f(2) - g(2) = 1,657.41 - 1,650 = 7.41.

(f - g)(3) = f(3) - g(3) = 1,742.21 - 1,725 = 17.21.

(f - g)(4) = f(4) - g(4) = 1,831.34 - 1,800 = 31.34.

More can be learned about functions at https://brainly.com/question/25537936

The solution is 14.38

The value of x from the equation 32 (x − 8) = 14x + 3 is x = ( 14 7/18 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

32 (x − 8) = 14x + 3   be equation (1)

Now , on simplifying the equation , we get

32 ( x ) - 32 ( 8 ) = 14x + 3

32x - 256 = 14x + 3

Adding 256 on both sides of the equation , we get

32x = 14x + 259

Subtracting 14x on both sides of the equation , we get

18x = 259

Divide by 18 on both sides of the equation , we get

x = 259/18

The value of x = 14.38

Therefore , the value of x = 14.38 or 14 7/18

Hence , The value of x from the equation is x = ( 14 7/18 )

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Answer:

let the number be " x "

[tex]\bold{x - 5 = 2(x + 9)} \\\bold{ x - 5 = 2x + 18 } [/tex]

gathering the like terms together , we get

[tex]\bold{2x - x = - 5 - 18} \\\bold{ x = - 23}[/tex]

hope helpful~

Answer:

The answer is going to be 7 or X=7. Here is how that conclusion came to be. Five less than twice a number is 9; here is the mathematical sentence we created to represent the statement:

2X-5=9 now lets work it.

2X-5+5=9+5

2X=14 , lets divide boyh sides of the equation by 2.

2X/2=14/2

X=7 Now lets prove this number represents X.

2(7)-5=9

14–5=9

9=9

I HOPE THIS HELPED YOU.

Answer:

True, now give me braniest

Step-by-step explanation:

Answer:

20+(56)-18=

Step-by-step explanation:

some specific values are carried on 15 to 60 numbers

Answer:

300 feet

Step-by-step explanation:

Conversion factor:  3 feet/yard

Veronica's speed is 100 yards/10 seconds

Use the conversion factor:

(100 yards/10 seconds)*(3 feet/yard)*(10 seconds) = 300 feet in 10 seconds

Answer:

400 feet^3 hope this helped!

Answer:10 square units

Step-by-step explanation:

To find the area use the formula: l*h or count the amount of squares in the rectangle

1 inch equals 250 feet.

Multiply the inches on the map by 250 to get total feet.

30 x 250 = 7,500 feet

24 x 250 = 6,000 feet

The park is 7,500 feet long by 6,000 feet wide

The scale factor of the drawing is 1 inch equal to 250 feet. Then the actual length and width are 7500 feet and 600 feet.

The scale factor means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

A scale drawing of a park is 30 inches long and 24 inches wide. On the drawing, 1 inch is equal to 250 feet. Then the actual dimension will be

Length = 30 × 250

Length = 7500 ft

Width = 24 × 250

Width = 6000 ft

More about the scale factor link is given below.

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The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

[tex]\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}[/tex]

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

[tex]a+ar+ ar^2+ ar^3+...[/tex]

Here,

is the (a) first term of the sequence, and (r) is the common ratio.

To be a series as geometric series diverges, it should follow,

[tex]|r| > 1[/tex]

First option given as,

3/5+3/10+3/20+3/40+ ...

Here, the common ratio is,

[tex]r=\dfrac{\dfrac{3}{10}}{\dfrac{3}{5}}\\r=\dfrac{1}{2}[/tex]

The common ratio is less than one. Thus option a is not correct.

First option given as,

-10+4-8/4+18/25- ...

Here, the common ratio is,

[tex]r=\dfrac{4}{-10}\\r=\dfrac{-2}{5}[/tex]

For the option number two the common ratio is (-2/5) which is less than 1. This option is also not correct.

In the option number c, the value of common ratio is -4. The absolute value of common ratio is,

[tex]|r|=|-4|\\|r|=4[/tex]

The absolute value of this common ratio is more than one. Thus, this is the correct option.

The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

[tex]\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}[/tex]

Learn more about the geometric sequence here;

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Answer:

its C

Step-by-step explanation:

Answer:

36 cans

Step-by-step explanation:

The question is asking: What is 45% of 80?

45/100 = x/80

100x= 45x80 (cross multiply)

45x80= 3600

3600/100=

36

Answer:

105

Step-by-step explanation:

L*W*H

7*3*5 = 105

Answer:

I think it's 29

Step-by-step explanation:

if I'm wrong let me know and I'll delete my answer

Answer:

6x-5/2

Step-by-step explanation:

4x+1/2+2x+(-3)

4x+2x+1/2-3

6x+1/2-3

6x+1/2-6/2

6x-5/2

Answer: 10n^2+n+9‎‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

Answer:

1 with 9 2 with 7 3 with 1 4 with 3 and 5 with 5

Answer:

Equation 1 matches with number 9.

Equation 2 matches with number 7.

Equation 3 matches with number 1.

Equation 4 matches with number 3.

Equation 5 matches with number 5.

Step-by-step explanation:

Equation 1:  −9x > −9

−9x > −9

Divide both sides by −9.

-9x/-9 = -9/-9

Since −9 is negative, the inequality direction is changed.

x < 1

x < 1 matches with the graphed solution of number 9.

So, Equation 1 matches with number 9.

Equation 2: 2x + 6≥ −2

2x + 6≥ −2

Step 1: Subtract 6 from both sides

2x + 6 − 6 ≥ −2 − 6

2x ≥ −8

Step 2: Divide both sides by 2

2x/2 ≥ −8/2

Step 3: Simplify

x  ≥  -4

x  ≥  -4 matches with the graphed solution of number 7.

So, Equation 2 matches with number 7.

Equation 3: x − 9 < −5

x − 9 < −5

Step 1: Add 9 to both sides.

x − 9 + 9 < −5 + 9

x < 4

x < 4 matches with the graphed solution of number 1.

So, Equation 3 matches with number 1.

Equation 4: −6x < −12

−6x < −12

Divide both sides by -6

-6x/-6 < -12/-6

Since −6 is negative, the inequality direction is changed

x > 2

x > 2 matches with the graphed solution of number 3.

So, Equation 4 matches with number 3.

Equation 5: -7x + 20 > 55

Step 1: Subtract 20 from both sides.

−7x + 20 − 20 > 55 − 20

Step 2: Simplify

−7x > 35

Step 3: Divide both sides by -7.

-7x/-7 > 35/-7

Step 4: Simplify

x < -5

Since −7 is negative, the inequality direction is changed

x < -5 matches with the graphed solution of number 5.

So, Equation 5 matches with number 5.

Hint: less than (<), greater than (>), less than or equal (≤), greater than or equal (≥) and the not equal symbol (≠)

Answer:

83 is the measure of x.

Step-by-step explanation:

A triangle is equal to 180 degrees. So 180 - 53 - 44 = 83.

Answer:

83 degrees

Step-by-step explanation:

The measure of all three angles in any triangle will always add up to 180.

To solve a problem like this, simply add up the given measurements and then subtract that total from 180. In this case you would get an answer of 180 degrees.

Hope that helps!

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

Here's the Surface Area formula I use ⇣

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

Surface Area = length x width + length x height + height x width

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

So, let's use it...

9m x 7m = 63m

9m x 5m = 45m

5m x 7m = 35m

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

63m + 45m + 35m = 143m

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

Have a great day! :)

~pinetree

Answer:

286

Step-by-step explanation:

Formula 2 x (height x depth + height x width + depth x width)
2 x (5 x 7 + 5 x 9 + 7 x 7) = 286

Answer:

The answer is -3g=(-6)

Answer:

x = 3.6

Step-by-step explanation:

=> x2 - 12x + 32 = (x - 8)

=> 2x - 12x + 32 = (x - 8)

=> 2x - 12x + 32 = x - 8

=> 2x - 12x - x = -8 -32

=> -10x - x= -40

=> -11x = -40

=> (-11x)/-11 = (-40)/-11

=> x = 3.636363636363636

=> x = 3.6

Answer:

The square root of 3

Step-by-step explanation:

The other ones equal a number Ex Square root of 16 is 4 but the square root of 3 would be a large decimal

Answer:

In this context, the word "enigma" means mystery.

Step-by-step explanation:

Answer:

Mystery, puzzle

Context clue: "No one ever traced the sound when they heard it." + "The reason that the source of the noise is such an" provide context clues that this may be a mystery or some sort of puzzling puzzle.

Answer:

3,-2

Step-by-step explanation:

The answer is 3,-2 because left is negative so you would subtract 2 and down is negative so you would subtract 3.

Answer:

[tex]5x^2+9x+3[/tex]

Step-by-step explanation:

We just need to add like terms together

[tex]11x^2-6x^2=5x^2[/tex]

[tex]5x+4x=9x[/tex]

[tex]8-5=3[/tex]

Answer:

Approximately 494,314 people

This is an exponential growth question, specifically population growth. We will use the following equation to help us solve this situation:

P(t) = a(1+r)t

P(t) = total population (??)

a = initial population = 260,000

r = growth factor (the percent as a decimal) = 0.055

1 + r = 1 + 0.055 = 1.055

t = time in years = 12

So, we can substitute all our information and solve:

P(12) = 260,000(1.055)12 = 494,313.95

Rounding to the nearest whole person, 494,314 people in 12 years.

Answer:

five pairs of size 8 shoes = 48 1/3

Answer:

5 pain of size 8 lined up will be 48 1/3 inches long

Answer:

first two because they align almost perfectly with the scatterplot and fit the direction described

Step-by-step explanation: