16. The stem-and-leaf plot represents the amount of money a worker 10 0 0 36 earned (in dollars) the past 44 weeks. Use this plot to calculate the IQR for the worker's weekly earnings. 11 5 6 8 12 1 2

Using the trapezium area formula, we can see that the expression you supplied may be reduced to 97 cm².

Area is a mathematical term that refers to the size of a two-dimensional surface or region. It is typically measured in square units, such as square meters, square feet, or square inches, depending on the system of measurement used. The area of a shape is determined by multiplying its length and width, or by using a specific formula depending on the shape of the object. Knowing the area of an object can be useful in many fields, including architecture, engineering, and mathematics.

Here,

a. The shapes that are present in the diagram are: rectangle and trapezium.

b. divide the shaded part using horizontal lines and vertical lines.

c. area of shaded part:

=4*2+(4+2)*3/2+(2+6)*5/2+(2+5)*2/2+(4+6)*2/2+6*3+(4+6)*5/2

=97 cm²

Using the formula for the area of a trapezium, we can see that the expression you provided can be simplified to 97 cm².

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Answer:

The slope is 70

The slope represents the speed of your car

Step-by-step explanation:

The slope is 70, y = mx + c, where m is the slope

The slope represents the speed of your car

speed = distance/time

speed x time = distance

As y represents the distance you travel, x is the time, slope is the speed, you get the distance travelled.

Step-by-step explanation:

Here,

CDE+27+103+50+35=360(BEING THE SUM OF PIE CHART

CDE+215=360

CDE=360-215

CDE=145

(i amnt sure about answer)

Answer:

Step-by-step explanation:

We have formula and values given:

Substitute the values and calculate:

V = 1/3*12*[(5√7)² + (5√7)(2√7) + (2√7)²] =

   = 4*(25*7 + 10*7 + 4*7) =

   = 4* 273 =

   = 1092 in³

Answer: x <- -8

x is less than negative eight.

Step-by-step explanation:

First, subtract 11 from both sides. Then divide both sides by 11. The arrow should be open and pointing to the left.

Answer:

x <- -8

Step-by-step explanation:

Step-by-step explanation:

the multiplication result is found by row×column multiplications.

1st row × 1st column = a

2×1 + 1×-1 + 0×0 = 2 - 1 = 1 = a

1st row × 2nd column = b

2×-1 + 1×-2 + 0×1 = -2 + -2 = -4 = b

1st row × 3rd column = c

2×2 + 1×1 + 0×1 = 4 + 1 = 5 = c

The required probability is 0.4408.

The operating characteristics of the loading gate problem are:

L = λ/ (μ - λ)

W = 1/ (μ - λ)

Lq = λ^2 / μ (μ - λ)

Wq = λ / μ (μ - λ)

ρ = λ / μ

P0 = 1 - λ / μ

Where, L represents the average number of cars either being loaded or waiting.

W represents the average time a car spends either being loaded or waiting.

Lq represents the average number of cars waiting.

Wq represents the average waiting time of a car.

ρ represents the utilization factor.

ρ = λ / μ represents the ratio of time the worker spends loading cars to the total time the system is busy.

P0 represents the probability that the system is empty.

The probability that there will be more than six cars either being loaded or waiting is to be determined. That is,

P (n > 6) = 1 - P (n ≤ 6)

Now, the probability of having less than or equal to six cars in the system at a given time,

P (n ≤ 6) = Σn = 0^6 [λ^n / n! * (μ - λ)^n]

Putting the values of λ and μ, we get,

P (n ≤ 6) = Σn = 0^6 [(6/ 48)^n / n! * (8/ 48)^n]

P (n ≤ 6) = [(6/ 48)^0 / 0! * (8/ 48)^0] + [(6/ 48)^1 / 1! * (8/ 48)^1] + [(6/ 48)^2 / 2! * (8/ 48)^2] + [(6/ 48)^3 / 3! * (8/ 48)^3] + [(6/ 48)^4 / 4! * (8/ 48)^4] + [(6/ 48)^5 / 5! * (8/ 48)^5] + [(6/ 48)^6 / 6! * (8/ 48)^6]P (n ≤ 6) = 0.5592

Now, P (n > 6) = 1 - P (n ≤ 6) = 1 - 0.5592 = 0.4408

Therefore, the required probability is 0.4408.

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Answer:

r = 6.29%

Step-by-step explanation:

76,000 = 46,000(1 + r/12)^(12· 8)

76,000 = 46,000 [(12+r)/12]^96

76,000/46,000 = [(12+r)/12]^96

1.652174 = [(12+r)/12]^96

\(\sqrt[96]{1.652174}\) = (12+r)/12

1.005244 = (12+r)/12

12.062926 = 12 + r

r = 12.062926 - 12

r = 0.062926

r = 0.062926 · 100

r = 6.2926%

r = 6.29 %

Answer:

Step-by-step explanation:

The formula for the area of a cube is A = 6s^2

The formula for the area of a cube is A = 6s^2, where s is the length of one side of the cube. To calculate the area of a cube, we simply have to multiply the length of one side of the cube by itself twice. For example, if the length of one side of the cube is 3, then we would take 3 x 3 x 3, which would give us 27. This would mean the area of the cube is 27. If we want to find the area of a cube that has a side length of 10, then we would take 10 x 10 x 10, which would give us 1000. This would mean the area of the cube is 1000. The area of a cube is found by multiplying the length of one side of the cube by itself twice.

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Answer:

x=5

Step-by-step explanation:

Add 8 on both sides first. Then divide both sides by 5 to isolate the variable.

5x-8=17

add 8 to both sides

5x=25

divide by 5 on both sides

x=5

Answer:

See below

Step-by-step explanation:

The question is garbled.  I don't see a graph nor can I interpret the list of numbers.  

g(x) = 2x-1+3 can be simplified to:

g(x) = 2x+2

This line is shown in the attached graph.  It has a slope of 2 and a y-intercept of 2.

Answer:

CDE=50 degrees ACD=100,BAC=30 degrees.

Use the distance formula:

Distance = sqrt((x2-x1)^2 + (y2-y1)^2)

Distance = sqrt((6-3)^2 + (13-9)^2)

Distance = sqrt(3^2 + 4^2)

Distance = sqrt(9 + 16)

Distance = sqrt(25)

Distance = 5

The problem says every unit = 1 mile so 5 units = 5 miles.

Answer = 5 miles

Answer:

23.69 per month

Step-by-step explanation:

Answer:

\(x=4\)

Step-by-step explanation:

To solve this problem, one must use the angle bisector theorem. This theorem provides a proportion between the sides formed by an angle bisector. One can apply this theorem here by forming the following proportion,

\(\frac{BA}{BC}=\frac{AD}{DC}\)

Substitute,

\(\frac{x}{6}=\frac{2}{3}\)

Cross products,

\(3(x)=2(6)\)

Simplify,

\(3x=12\)

Inverse operations,

\(3x=12\\\\x = 4\)

The area of the region bounded by the parabola, the tangent line to this parabola at the point, and the axis is 20/3.

The area of the region bounded by the parabola y=x2, the tangent line to this parabola at (1,1) and the x-axis can be calculated by using integration.

First, we note that the equation of the tangent line to the parabola at (1,1) is y=2x-1. Then, the area of the region can be calculated by the equation:
A=∫01 (2x-1) - (x2)dx
A=∫01(x-x2)dx
A=∫01x dx - ∫01x2dx
A= (x2/2) |01 - (x3/3) |01
A=(1/2) - (1/3)
A=1/6
Let the given parabola be\(y^2=4ax\).

So, the equation of tangent at

\((a,a^2/4) is y=a^2/4 + (x-a)\).On solving this with the parabola equation we get,

x=3a/2, y=3a/2

So, the x intercept is 3a/2 and hence the required area is :∫\((3a/2)(a^2/4)\)dx + ∫\((a/2)(3a/2 - a^2/4)\) dx...on solving this, we get,\(20a^2/12 = 5a^2/3\)= 20/3.

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During  from 1980 to 1990 ten-year period did the average age increase the most

Age is the duration of something's existence or being alive.

East Asian age calculation, a method of calculating age in Asia that begins at 1

Getting older, also referred to as aging,

Senescence, the age-related progressive decline in biological function

human advancement (biology)

Periodization, the division of history into clearly delineated chronological periods with names,

The stages of human existence on Earth as described by Greek mythology and its later Roman interpretation are known as the "Ages of Man."

Age before time

the given name age

Aage is the pen name of Italian screenwriter Agenore Incrocci.

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Step-by-step explanation:

sinx = p/h = 7/25

so

p = 7

h = 25

now

h^2 = p^2 + b^2

25^2 = 7^2 + b^2

or, 625 = 49 + b^2

or, 625-49 = b^2

or, 576 = b^2

or,  b = \(\sqrt{576}\)

so, b = 24

so

cosx = b/h = 24/25

tanx = p/b = 7/24

Answer:

Step-by-step explanation:

\(Side = 25 cm\\\\Diagonal = ?\\\)

Look at the image ; notice we have a right angle triangle ?

So , we can derive  :

Hypotenuse = ?

Opposite = 25

Adjacent = 25

\(Pythagoras \:Theorem ;\\Hypotenuse^2 =Opposite^2+Adjacent^2 \\\\x^2 = 25^2 +25^2\\x^2 = 625+625\\\\x = \sqrt{1250}\\ \\\\x = diagonal = 25\sqrt{2} \\= 35.35\)

The solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.

To solve the equation 3.3 + 4x = -6.9x + 6.6, we need to isolate the variable x on one side of the equation.

First, let's simplify the equation by combining like terms:

3.3 + 4x = -6.9x + 6.6

Next, let's move the variable terms (4x and -6.9x) to one side and the constant terms (3.3 and 6.6) to the other side:

4x + 6.9x = 6.6 - 3.3

Combine the x terms on the left side:

10.9x = 3.3

Now, divide both sides of the equation by 10.9 to solve for x:

x = 3.3 / 10.9

Using a calculator, we can find the decimal approximation of x:

x ≈ 0.3028

Rounding to the nearest tenth, the solution to the equation is x ≈ 0.3.

In summary, the solution to the equation 3.3 + 4x = -6.9x + 6.6, rounded to the nearest tenth, is x ≈ 0.3.

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Answer:

52

Step-by-step explanation:

yes

Step-by-step explanation:

hope you will understand ( ´ ▽ ` )ﾉ

Answer:

its 45 bc i searched up the answer and chose the other persons response and turns out its 45 not 60th

Step-by-step explanation:

The exponential regression equation that was obtained from the graphing calculator is y = 7.355 * (10.579)ˣ

The correct option is D.

Step 1: Exponential regression equation:

The exponential regression equation provided by the graphing calculator is given as:

where the values of a and b represent the coefficients in the equation, and x represents the independent variable.

Step 2: The information that was returned by the calculator is;

a = 7.354734813

a = 7.355 rounded to 3 decimal places

b = 10.57922764

b = 10.579 rounded to 3 decimal places

Step 3:

Substituting the values of a and b in the exponential regression equation  by the graphing calculator;

the exponential regression equation is:

y = 7.355 * 10.579ˣ rounded to 3 decimal places

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Answer:

Equation of line that includes the point (-9, -8) has a slope of 5 in point-slope form is

\(y+8 = 5 (x + 9)\)

Step-by-step explanation:

Equation of line in point-slope form is given as

\(y-y_1 = m (x-x_1)\)  ---------- (1)

Here

\(m=5 \ \ \ and \ \ \ (x_1, y_1) = (-9, -8)\)

Substitute values in equation (1)

\(y+8 = 5 (x + 9)\)

Simplifying it further

\(y = 5x + 45 -8\)

\(y = 5x + 37\)

The numerical value of y is 5

The given parameters are

PQS = 8y - 3

QRS = 5y + 12

The angles are congruent.

So, we have

PQS = QRS

Substitute the known values in the above equation

So, we have

8y - 3 = 5y + 12

Evaluate the like terms

3y = 15

Divide both sides by 3

y = 5

Hence, the numerical value of y is 5

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