6x - 8-10 = 2 (2x+8) + 2x + 2

This probability represents the percentage of women with foot lengths that exceed 11 inches.

Probability is a branch of mathematics that deals with the likelihood or chance of an event occurring. It is used to quantify uncertainty and make predictions or decisions based on available information. The probability of an event is represented as a number between 0 and 1, where 0 indicates an impossible event and 1 indicates a certain event.

Probability theory also involves concepts such as conditional probability (the probability of an event given that another event has occurred), independent events (events that do not affect each other's probability), and dependent events (events whose probability is influenced by other events).

To find the percentage of women with foot lengths between 9 and 10 inches,

we can calculate the z-scores for these values using the formula:

z = (x - mean) / standard deviation

For the lower bound, z = (9 - 9.58) / 0.51 = -1.14
For the upper bound, z = (10 - 9.58) / 0.51 = 0.82

Next, we can use a standard normal distribution table or calculator to find the corresponding probabilities. The percentage of women with foot lengths between 9 and 10 inches is the difference between these probabilities.

For foot lengths exceeding 11 inches, we need to calculate the z-score for this value as well: z = (11 - 9.58) / 0.51 = 2.78

Using the standard normal distribution table or calculator, we can find the probability of the foot length exceeding 11 inches. This probability represents the percentage of women with foot lengths that exceed 11 inches.

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Answer:

hey i got that same qustiom=n but i ddint know how to do it

Answer:

8%

Step-by-step explanation:

$460 ÷ X = $36.80

X = $36.80 ÷ $460

X = 0.08

0.08 = 8%

The Lower Control Limit (LCL) of a 3.6 control chart is 44.1.

To construct an appropriate statistical process control chart for the average time taken in the execution of a set of computerized protocols, data was collected for 30 samples each of size 40, and the mean of all sample means was found to be 50. The standard deviation of the sample-means was known to be 4.5 seconds.

A control chart is a statistical tool used to differentiate between common-cause variation and assignable-cause variation in a process. Control charts are designed to detect when process performance is stable, indicating that the process is under control. When the process is in a stable state, decision-makers can make informed judgments and decisions on whether or not to change the process.

For a sample size of 40, the LCL formula for the x-bar chart is: LCL = x-bar-bar - 3.6 * σ/√n

Where: x-bar-bar is the mean of the means

σ is the standard deviation of the mean

n is the sample size

Putting the values, we have: LCL = 50 - 3.6 * 4.5/√40

LCL = 50 - 2.138

LCL = 47.862 or 44.1 (approximated to one decimal place)

Therefore, the LCL of a 3.6 control chart is 44.1.

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Answer:

74.25 maybe

Step-by-step explanation:

Answer:

Rico will ride 38.75 miles. 15.5 x 2.5 = 38.75

Step-by-step explanation:

Hope this helped you!

Answer:

112.5:15=7.5

Step-by-step explanation:

112.5:15

=112.5÷15

=7.5

The equation "112.5 : 15 = 7.5" is true.

Proceed option 1:

"15 - 112.5 = 7.5":

This equation is not correct because 15 - 112.5 does not equal 7.5.

Proceed option 2:

"15 : 112.5 = 75":

This equation is not correct because when we divide 15 by 112.5, we get a decimal answer of 0.1333, not 75.

Proceed option 3:

"112.5 : 15 = 7.5": This equation is correct.

When we divide 112.5 by 15, we get an answer of 7.5.

Proceed option 4:

"112.5 : 15 = 75": This equation is not correct because when we divide 112.5 by 15, we get an answer of 7.5, not 75.

Hence equation "112.5 : 15 = 7.5" is correct.

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1. Three examples of situations where consistency is important:

Healthcare: when treating patients, healthcare providers must follow consistent procedures and protocols to ensure that every patient receives the same level of care.

Financial transaction: when making financial transactions, it is important to follow regular security rules to prevent fraud.

Support rules: Adherence to consistent rules and regulations in sports is essential to ensure fair play and the safety of all participants.

2. The number 0 is important in mathematical systems because it represents the absence of a number and serves as a placeholder. Without zero, our mathematical system would be affected in many ways. For example, writing the number 100 would be difficult without the zero. Without the invention of zero, progress in mathematics would have been delayed.

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Answer:

r = \(\sqrt{11}\)

Step-by-step explanation:

So we need to complete the square for both parts of the equation

First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6

So first we can complete the square for x² + 2x

To do so we need to use \((\frac{b}{2} )^{2}\) to figure out the number we need to add to both sides

In this case our b is 2, so substituting this in we get \((\frac{2}{2} )^{2} =(1)^{2} =1\)

Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1

Now we can follow the same steps to complete the square for y² + 4y

Here our b is 4, so substituting this in we get \((\frac{4}{2} )^{2}=(2)^{2} =4\)

Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4

Now condensing everything we have (x + 1)² + (y + 2)² = 11

The formula for a circle is (x - h)² + (y - k)² = r²

In our equation we have r² = 11

To find the radius we need to take the square root of both sides \(\sqrt{r^{2}} =\sqrt{11}\) to get r = \(\sqrt{11}\)

Answer:

$6000.

Step-by-step explanation:

360/3(years)= 2% of Principle

so

120=2% of principle

2%=1/50

120*50=6000    

Ans.=$6,000

Answer:

option A

Step-by-step explanation:

(X - 2) is the answer

hope it helps

the work required to move a 10 nC charge from infinity to point P is 4.80 x 10^-4 J.

To calculate the work required to move a charge from infinity to point P, we need to use the formula:

W = q * (ΔV)

where q is the charge being moved and ΔV is the change in electric potential energy.

To calculate the electric potential energy at point P, we need to first calculate the electric potential at point P due to each of the three charges. The electric potential at a point due to a point charge q is given by:

V = k * (q / r)

where k is Coulomb's constant, q is the charge, and r is the distance between the point charge and the point at which the potential is being calculated.

Using this formula, we can calculate the electric potential at point P due to each of the three charges:

V1 = k * (-2.0 µC) / (0.2 m) = -8.99 x 10^9 V

V2 = k * (4.0 µC) / (0.2 m) = 1.80 x 10^10 V

V3 = k * (6.0 µC) / (0.2 m) = 2.70 x 10^10 V

The total electric potential at point P is the sum of the individual potentials:

V = V1 + V2 + V3 = 4.80 x 10^10 V

The change in electric potential energy as the charge is moved from infinity to point P is:

ΔV = V - 0 = 4.80 x 10^10 V

Finally, we can calculate the work required to move the charge:

W = q * ΔV = (10 nC) * (4.80 x 10^10 V) = 4.80 x 10^-4 J

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Answer:

Emma can buy 21 bookmarks

Step-by-step explanation:

Add 14.50 + 0.50 + 0.50 + 0.50 + 0.50 + 0.50 you get it. Until she hits 25.00 dollars.

Answer:

30 min

Step-by-step explanation:

1 butcher can prepare 1 cows in 2 hours

2 can prepare twice as fast 2/2=1 hour

4 can prepare 4 times as fast 2 hours/4=30 min

Check work

30 min*4=120 min=2 hours

The solutions to the equation sin(πx/3) = 0 in the interval -5 < x < 5 are x = -3, 0, and 3.

What is Trigonometric equation?

A trigonometric equation is an equation that involves trigonometric functions such as sine, cosine, tangent, or their inverses. Trigonometric equations arise in a variety of mathematical and scientific contexts, from solving geometric problems involving angles and triangles to modeling periodic phenomena in physics, engineering, and other fields.

Solving a trigonometric equation typically involves finding the values of the unknown variable that satisfy the equation within a certain interval. For example, the equation sin(x) = 0 has infinitely many solutions, but if we restrict the interval to [0, 2π], then the solutions are x = 0, π, 2π, which correspond to the x-intercepts of the sine function in that interval.

Here the equation sin(πx/3) = 0 has solutions whenever πx/3 is an integer multiple of π, since the sine function is zero at these values. Thus, we need to find all integers n such that πx/3 = nπ, or equivalently x = 3n for some integer n.

Since -5 < x < 5, we need to find all integers n such that -5 < 3n < 5. Dividing all sides by 3, we get -5/3 < n < 5/3. The only integers in this range are -1, 0, and 1. Therefore, the solutions to the equation sin(πx/3) = 0 in the interval -5 < x < 5 are x = -3, 0, and 3.

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The AGI and taxable income is $23,670 and $11,270

How to calculate AGI(Adjusted gross income) ?

The AGI calculation can be done as,

We have given that,

Gross income = $23670

1 Exemption = $12400

Adjustment = 0

Deduction = 0

Find AGI and Taxable income

AGI = Adjusted gross income

we know,

AGI = Total income - Any deduction or any adjustment  

AGI = ($23,670 + $12400)  - (0 + 0)

AGI = $36070

Now, Calculate taxable income

Taxable income = Gross income - 1 Exemption

                           = $23670 - $12400

                           = $11,270

Hence, the AGI and taxable income is $36,070 and $11,270

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Answer: D is the answer

Step-by-step explanation:

$23,670 and $11,270

Answer:

96 km

Step-by-step explanation:

72/3 is 24. When yo add 24 to 72 you get 96km.

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

The water that was lost between 9 and 11 am is 52 liters by using integration.

An integral in mathematics assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that come from merging infinitesimal data. The process of determining integrals is known as integration. Along with differentiation, integration is a fundamental, essential operation of calculus and is used to answer issues in mathematics and physics involving the area of an arbitrary form, the length of a curve, and the volume of a solid, among others.

The integrals listed below are definite integrals, which can be defined as the signed area of the plane region circumscribed by the graph of a given function between two points on the real line.

Rate of leaking R'(t)=2+8t

Here t is the number of hours.

Total water lost from 9 and 11 am

=\(\int\limits^8_2\) (2+8t)dt

=(2t+(8t²/2))⁴₂

=(8+64)-(4+16)

=72-20

=52 liters.

The water that was lost between 9 and 11 am is 52 liters.

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Answer:

  t ∈ (-4.5, 2.25]

Step-by-step explanation:

You want to solve the compound inequality ...

  1/3t -5 < t -2 ≤ -3t +7

We can divide this into two inequalities.

  1/3t -5 < t -2   ⇒   -3 < 2/3t   ⇒   -4.5 < t

and

  t -2 ≤ -3t +7   ⇒   4t ≤ 9   ⇒   t ≤ 2.25

The solution interval is the intersection of these two solutions:

  -4.5 < t ≤ 2.25

  t ∈ (-4.5, 2.25]

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Answer:

x = 1/4

Step-by-step explanation:

\(log_{x}\) 16 = 2 can be written as \(16^{x}\) = 2

(\(2^{4}\))^x = 2^1

if bases are the same we can create this equation:  4x = 1

                                                                                      x = 1/4

The car was traveling at approximately 40 ft/s when the brakes were first applied.

To find the initial velocity of the car when the brakes were first applied, we can use the kinematic equation:

v^2 = u^2 + 2as

where:

v = final velocity (0 ft/s, as the car comes to a stop)

u = initial velocity (what we want to find)

a = acceleration (deceleration due to braking, -16 ft/s^2)

s = distance (skid marks, 200 ft)

Rearranging the equation, we have:

u^2 = v^2 - 2as

Substituting the given values, we get:

u^2 = 0^2 - 2(-16 ft/s^2)(200 ft)

u^2 = 6400 ft^2/s^2

Taking the square root of both sides, we find:

u = ±80 ft/s

Since we are looking for the initial velocity, we discard the negative value as it represents the opposite direction of motion. Therefore, the car was traveling at approximately 80 ft/s when the brakes were first applied.

Note: It's important to ensure consistent units throughout the calculations, and in this case, we used the unit of feet per second (ft/s) for velocity and feet (ft) for distance.

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Answer:

\( \frac { - 3}{5} \)

Answer:

The vertex is at (5, -9)

Step-by-step explanation:

The vertex is halfway between the zeros

f(x) = (x-8)(x - 2)

0  = (x-8)(x - 2)

x=8 and x=2 are the two zeros

(8+2)/2 = 10/2 = 5

The x coordinate is at 5

The y coordinate is found by substituting the x coordinate into the function

f(5) = (5-8)(5 - 2) = -3 (3) = -9

The vertex is at (5, -9)

Answer:

y = 8/3

Step-by-step explanation:

x = -2

y = 2/(3*-2) + 3

y = 2/-6 + 3

y = -1/3 + 3

y = -1/3 + 9/3

y = 8/3

The correct answer is c. 6 ft³.To calculate the volume of the sculpture, we need to find the volume of one pyramid and then multiply it by four.

The volume of a pyramid can be calculated using the formula V = (1/3) * base area * height. In this case, the base area of the pyramid is a square with side length 2 feet, so the area is 2 * 2 = 4 square feet. The height of the pyramid is 6 feet. Plugging these values into the formula, we get V = (1/3) * 4 ft² * 6 ft = 8 ft³ for one pyramid. Since there are four identical pyramids, the total volume of the sculpture is 8 ft³ * 4 = 32 ft³.

However, the question asks for the volume of sculpting material needed, so we need to subtract the volume of the hollow space inside the sculpture if there is any. Without additional information, we assume the sculpture is solid, so the volume of material needed is equal to the volume of the sculpture, which is 32 ft³. Therefore, the correct answer is c. 6 ft³.

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The key features are at least one y-intercept, a vertical asymptoto, the domain of x.

A graph of the function f(x) and an equation of the function g(x) are not provided, so it is not possible to provide concrete examples or determine the main commonalities.

However, the most important functions common to the two functions can be generally described.

Figure Shape:  Functions f(x) and g(x) can have similar overall shapes. For example, both functions may be symmetrical about the y-axis and have mirror image properties.

This means that for any value of x, if f(x) takes a certain value, then g(x) takes the same value, but with the opposite sign.

Relative position of keypoints: functions f(x) and g(x) can have keypoints in common.

B. Local extremes (maximum or minimum), turning points, or intersections with the x- or y-axis.

For example, both functions may have a common maximum point at (a, f(a) = g(a)).

General trend or behavior: The functions f(x) and g(x) may exhibit similar trends or behavior over specific intervals.

This may include increased or decreased behavior, concavity or periodicity.

For example, both functions might show an increasing trend over the interval [a,b].

It is important to note that it is difficult to determine the exact common key features without specific information about the functions f(x) and g(x).

The options above provide a general understanding of possible similarities between the two features, but may or may not apply to your particular case without further context or information.

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Answer:its B

Step-by-step explanation:

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

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

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Based on the calculations, the rate of change for the function is equal to 5.

Mathematically, the rate of change for the function can be calculated by using this expression;

Rate of change = [½ ÷ ⅒]/[0 - (-1)]

Rate of change = 5/1

Rate of change = 5.

Rate of change = [5/2 ÷ ½]/[1 - 0]

Rate of change = 5/1

Rate of change = 5.

Rate of change = [125/2 ÷ 25/2]/[3 - 2]

Rate of change = 5/1

Rate of change = 5.

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