it is in the picture

The supervisor calculates the mean number of miles that the employees in a department live from work and obtains the value  (x-bar).

The mean, denoted by x - bar (x-bar), is a statistical measure that represents the average value of a set of data. In this case, the supervisor is interested in determining the average distance in miles that the employees in a department live from their workplace.

By calculating x-bar, the supervisor obtains a single value that summarizes the central tendency of the data set.

The mean is computed by summing all the distances and dividing the sum by the total number of employees in the department.

It provides valuable insight into the typical commute distance of the employees and can be used for various purposes, such as evaluating transportation needs or planning employee benefits.

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If both measurements are equal to the radius of the circle, then side RT is tangent to the circle. We can also use the Pythagorean Theorem to determine if side RT is tangent to the circle.

Pythagorean Theorem is a fundamental geometry theorem that states that in any right triangle, the sum of the squares of the lengths of the two sides that form the right angle equals the square of the length of the hypotenuse. It is written as \(a^{2} +b^{2}= c^{2}\), where a and b are the lengths of the two sides and c is the length of the hypotenuse.

In order to determine if side RT of triangle GTR is tangent to the circle, we can use the properties of tangency. A tangent line is always perpendicular to the radius of the circle at the point of tangency. This means that if side RT is tangent to the circle, the angle formed by the radius of the circle and side RT must be 90°. Furthermore, the length of side RT must be equal to the radius of the circle.

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Answer:

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

To solve, move all the x’s to one side and all the numbers. Remember when moving numbers to the other side of an equation, the sign changes from either a positive to a negative or vise versa.

9 + 3 = 4/3x + 2/3x

Next, add the like terms.

9+3=12

When adding fractions, add the numerator (top number), but first change denominator (bottom number) if not the same. Here, we don’t need to.

4/3x+2/3x=6/3x

So,

12 = 6/3x

Then, we have to divide each side by 6/3 to make the x alone.

12/6/3 = 6/3x/6/3

To divide with fractions, multiply the reciprocal (opposite number on number line):

12/1·3/6 = x

36/6 = x

6 = x

Based on the information in the graph, we can infer that the area of the three triangles is the same. In this case the area would be 45 cm².

To calculate the area of the triangles we must calculate the area of one of them taking into account that all three have the same dimensions. According to the above, we must apply the following formula:

Then we must replace the values of the base and the height:

So the area of the triangles would be 45cm.

Note: This question is incomplete. Here is the complete information:

question

What is the area of the triangles?

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the electric field at a distance (r) from the center of the cylinder is approximately 0.0203 N/C, with a radial direction.

To solve this problem, let's analyze the given information step by step:

Radius of the cylinder: r = 2.00 cm = 0.02 m

Volume charge density: ρ = 18.0 μC/m²3

Now, let's find the electric field (E) at a distance (r) from the center of the cylinder using Gauss's law for a cylindrical symmetry.

Gauss's law states that the electric flux (Φ) through a closed surface is equal to the enclosed charge divided by the permittivity of free space (ε₀).

For an infinitely long cylinder, the electric field outside the cylinder will have a radial direction and a magnitude given by:

E = (ρ × r) / (2 × ε₀)

where ε₀ is the permittivity of free space, approximately equal to 8.854 × 10²-12 C²2/(N·m²2).

Substituting the given values, we can calculate the electric field:

E = (18.0 μC/m²3 × 0.02 m) / (2 × 8.854 × 10²-12 C²2/(N·m²2))

E ≈ 0.0203 N/C

Therefore, the electric field at a distance (r) from the center of the cylinder is approximately 0.0203 N/C, with a radial direction.

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a) To find the extreme points and determine if they are minimum or maximum, we need to take the derivative of the function and set it equal to zero.

a) f(x) = x^2 + x - 6

Taking the derivative:

f'(x) = 2x + 1

Setting it equal to zero and solving for x:

2x + 1 = 0

2x = -1

x = -1/2

To determine if it is a minimum or maximum, we can examine the concavity of the function. Since the coefficient of x^2 is positive (1), the function opens upward and the critical point at x = -1/2 is a minimum.

b) f(x) = x^3 + x^2

Taking the derivative:

f'(x) = 3x^2 + 2x

Setting it equal to zero and solving for x:

3x^2 + 2x = 0

x(3x + 2) = 0

This gives two critical points:

x = 0 and x = -2/3

To determine if they are minimum or maximum, we need to examine the concavity of the function. Since the coefficient of x^3 is positive (1), the function opens upward. The critical point at x = 0 is a minimum, while the critical point at x = -2/3 is a maximum.

b) Graphical method:

To solve the problem graphically, we will draw a graph representing the constraints and find the feasible area. Then we will identify the corner point feasible solutions (CPFS) and determine if there is an optimal solution.

a) Maximize subject to:

x1 + x2

2x1 + 5x2 <= 5

x1 + x2 <= 5

3x1 + x2 <= 15

x1, x2 >= 0

b) Minimize subject to:

x1 + x2

-x1 + x2 <= 5

x2 <= 3

3x1 + x2 >= 7

x1, x2 >= 0

Unfortunately, the given optimization problems are incomplete as there are no objective functions specified. Without an objective function, it is not possible to determine an optimal solution or solve the problem graphically.

Please provide the objective function for the optimization problems so that we can proceed with the graphical solution and find the optimal solution, if any.

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a) The extreme point for the function f(x) = x² + x - 6 is a minimum point.

b) The extreme point for the function f(x) = x³ + x² is neither a minimum nor a maximum point.

Step 1: For the function f(x) = x² + x - 6, to find the extreme points, we can take the derivative of the function and set it equal to zero. By solving for x, we can identify the x-coordinate of the extreme point. Taking the second derivative can help determine if it is a minimum or maximum point. In this case, the extreme point is a minimum because the second derivative is positive.

Step 2: For the function f(x) = x³ + x², finding the extreme points follows the same process. However, after taking the derivative and solving for x, we find that there are no critical points. Without any critical points, there are no extreme points, meaning there are no minimum or maximum points for this function.

In summary, for the function f(x) = x² + x - 6, the extreme point is a minimum, while for the function f(x) = x³ + x², there are no extreme points.

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Answer:

(-5, 50) and (-1/3, -0.815)

Step-by-step explanation:

The equation is;

y = x³ + 8x² + 5x

Now the turning point will occur at where dy/dx = 0.

Thus;

dy/dx = 3x² + 16x + 5

At dy/dx = 0, we have;

3x² + 16x + 5 = 0

From quadratic formula, we can get;

x = -5 or -⅓

Thus, let's find y at this points.

y = -5³ + 8(-5)² + 5(-5)

y = -125 + 200 - 25

y = 50

Also,at x = -⅓, we have;.

y = (-⅓)³ + 8(-⅓)² + 5(-⅓)

y = -1/27 + 8/9 - 5/3

y = -0.815

Thus,the coordinates of the turning points are;

(-5, 50) and (-1/3, -0.815)

Answer: its the first one baby girl

Step-by-step explanation:

if im wrong you can blame me

Answer:

x=8

Step-by-step explanation:

set up a proportion:

\(\frac{20}{4}=\frac{4x-7}{5}\)

simplify:

\(5 =\frac{4x-7}{5}\)

now solve this equation for x:

\(5 = \frac{4x-7}{5} \\25 = 4x - 7\\32 = 4x\\x = 8\)

Answer:

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

Step-by-step explanation:

Equate f(x) and g(x) , that is

- 3x + 4 = 2 ( subtract 4 from both sides )

- 3x = - 2 ( divide both sides by - 3 )

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

Answer:

Letter B

9.16

...........

.

A 95% confidence interval is equivalent to a (A) two-tailed test with a significance level of 0.05.

The correct answer is A. A two-tailed test with a significance level of 0.05.

1. A 95% confidence interval means that there is a 95% probability that the true population parameter lies within the interval.
2. The remaining 5% is distributed evenly in the two tails of the distribution (2.5% in each tail).
3. A two-tailed test with a significance level of 0.05 also distributes the 5% probability of making a Type I error evenly between the two tails (2.5% in each tail).
4. Therefore, a 95% confidence interval is equivalent to a two-tailed test with a significance level of 0.05.

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$390 represent 100%. To find what percentage $7.80 represent, we can use the next proportion:

Solving for x,

The sales tax rate is 2%

Let f(x) = mx+b. Also, let g(x) be the inverse of f(x)

To find the inverse, we start with y = mx+b and swap x and y. From there, we solve for y like so

y = mx+b

x = my + b

x-b = my

my = x-b

y = (x-b)/m ... note m is in the denominator, so m cannot be 0

y = (x/m) - (b/m)

y = (1/m)x - (b/m)

g(x) = (1/m)x - (b/m)

This new equation is linear because it is in the form (slope)x+(y intercept)

The new slope is 1/m and the new y intercept is -b/m

So this proves that the inverse g(x) is linear when f(x) is linear.

The inverse function is:

\(y = \frac{x}{m} - \frac{b}{m}\)

Since \(m \neq 0\) and \(x \neq b\), it is a linear function with slope \(\frac{1}{m}\) and intercept \(-\frac{b}{m}\).

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

\(y = mx + b\)

In which:

\(x = my + b\)

\(my = x - b\)

\(y = \frac{x}{m} - \frac{b}{m}\)

Since \(m \neq 0\) and \(x \neq b\), it is a linear function with slope \(\frac{1}{m}\) and intercept \(-\frac{b}{m}\).

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Answer:

see below

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the radius is 9 and the height is 20

V = pi  ( 9)^2 ( 20)

V = 1620 pi

If we approximate pi by 3.14

V =5086.80 cm^3

If we approximate pi by pi button

V =5089.3800099 cm^3

Answer:

V=5089.380099cm^3

Step-by-step explanation:

V=πr^2h

V=π(9)^2(20)

V=π(9)^2(20)

V=5089.380099cm^3

Answer:

C is the correct answer.

Step-by-step explanation:

All you have to do is divide 72 by three to get it into thirds and 1/3 is 24.

Answer:

D

Step-by-step explanation:

3/5>4/7

find the common denominator

the common denominator is 35

so since you multiply 7 to 5 to get 35 multiply 7 to 3

3/5 = 21/35

since you multiply 5 to 7 to get 35 multiply 5 to 4

4/7 = 20/35

21/35 > 20/35

Answer:

252/448 and 36/64 form a proportion

Step-by-step explanation:

The easiest way to do this is to let 252/448 = 36/64

Then cross multiply to get 252(64) = 36(448)

                                                16128 = 16128

Since the two products are equal, then 252/448 and 36/64 form a proportion.  If the the two products were unequal, then the two fractions would NOT form a proportion.

Answer:

5b - 0.9b is the equivalent expression and the distributive property is used.

Step-by-step explanation:

The price of bread is marked down 18%. She purchases 5 loaves of bread. We need to rewrite the above expression.

The expression that is used to find the price of 5 loaves of bread is 5(b-0.18b).

We can use the distributive property to solve it as follows:

a(b+c) = ab + ac

Here, a = 5, b = b and c = -0.18b

5(b-0.18b) = 5(b) + 5(-0.18b)

= 5b - 0.9b

So, the equivalent expression is 5b - 0.9b. The distributive property was used to rewrite the expression.

The graph of this line using the slope and y-intercept: y= 1/5x + 8 is attached below.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.

According to the given information line using the slope and y-intercept is; y= 1/5x + 8

thus, the slope of this line is:

m = 1/5

And its y-intercept is: c= 8

The graph of this line using the slope and y-intercept: y= 1/5x + 8 is attached below.

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Answer:

y = (10 * 0.2) ^ x

Y = (2)^x

Y =  2^x + 10

6.5 hours

Step-by-step explanation:

Y is the number of people at the school who have been infected with the flu. The 10 is the initial number of infected students which is a constant so it does not change. The 0.2 is the rate of increase, or 20%. The x exponent is the number of hours so that is a changing number. Your answer is 2 to the power of the number of hours which is x. Add ten after that to get your number. to get 100 people ill, it would take about 6.5 hours.

The amount of interest that the customer will pay is given as follows:

$31.88.

The balance of an account after t periods is given as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are explained as follows:

Hence the interest accrued is given as follows:

I(t) = Prt.

The parameters for this problem are given as follows:

P = 2530.16, r = 0.00042, t = 30.

Hence the interest is given as follows:

I(30) = 2530.16 x 0.00042 x 30

I(30) = $31.88.

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Answer:

2

Step-by-step explanation:

To simplify the expression (2^100 + 4^50)/16^25, let's break it down step by step:

First, let's simplify the numerator:

2^100 can be written as (2^2)^50, which is equal to 4^50.

So the numerator simplifies to 4^50 + 4^50.

Now, let's simplify the denominator:

16^25 can be written as (2^4)^25, which is equal to 2^100.

Now, we can rewrite the expression as:

(4^50 + 4^50) / 2^100

Since the bases are the same, we can combine the terms in the numerator:

2 * 4^50 / 2^100

Next, we can simplify the numerator further:

2 * (2^2)^50 / 2^100

Using the rule of exponentiation, we can multiply the exponents:

2 * 2^(2 * 50) / 2^100

Simplifying the exponent, we have:

2 * 2^100 / 2^100

Now, we can cancel out the common terms in the numerator and denominator: 2

Therefore, the simplified expression is 2.

Answer:

-8

Step-by-step explanation:

For this case we can do the following operation:

We can put together 2 and 0.7 using the distributive property and we got:

And finally we got:

And the best answer would be the first one.

Step-by-step explanation:

4×2=8

4/2×3.54=7

:.8+7=15

Answer:

This is the complete question;

What is the circumference of the circle?  shown in the image

(use 3.14 for pi )

A 18.84.98 cm

B. 36 cm

C. 37.68 cm

D. 37.7 cm

The circumference of the circle would be "C" 37.68 cm

Step-by-step explanation:

The circumference of a circle is the distance around or right around the circle. The circumference of the circle is also the perimeter of the circle.

The circumference of the circle can be obtained using the relationship below;

C = πd

Where C is the circumference and its unknown

d is the diameter of the circle = 12 cm

π is a constant = 3.14

C = 3.14 x 12

C = 37.68 cm

Therefore the circumference of the circle would be 37.68 cm

add all the numbers without a minus.

Answer:

the answer is y

Step-by-step explanation:

got it right on edmentum :)

Answer:

6

Step-by-step explanation:

Given that f(3), x=3.

Since f(x) = 2x, we plug in 3 for x, and get 2 times 3. Therefore, the answer comes out to 6.

When f(3)

Then we have:

3=2x

Now we divide by 2 (on both sides)

and are left with

x = 1.5

Hope this helps :)