In past years, the average time that it takes for a woman to complete the San Francisco Marathon was 4.62 hours. This year the average time for the 3845 women who finished the SF Marathon was 4.59 hours with a standard deviation of 1.11 hours. Can it be concluded that this years average time for women to finish the SF Marathon is statistically significantly different from the past years' average time? Please select all TRUE statements from those given below.

False. A rectangle is conventionally used in a process flowchart to represent a storage area or queue. Triangles are typically used in flowcharts to represent decision points, where a choice must be made between two or more alternatives.

Rectangles are used to represent activities or operations, while arrows connecting the shapes indicate the flow or direction of the process. The use of standardized shapes in flowcharts helps to make them easily understandable and accessible to a wide range of individuals, regardless of their background or experience with the specific process being depicted.

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Answer:

1/

Step-by-step explanation:

1/3+1/2=5/6

1-5/6=1/6

1/

The two possible values of x so that the given equation is positive are :

x < -1/10 or x > -1/10.

An inequality is a mathematical statement that indicates a relationship between two quantities or expressions that are not necessarily equal. It expresses that one value is greater than, less than, or not equal to another value.

The value of the expression -4/5/8 - x is positive, and we need to find two possible values of x.

To solve this, we'll start by simplifying the given expression.

We will have to do this step by step:

Step 1: -4/5/8 - x = -4/5 ÷ 8 - x (divide the numerator by the denominator)

Step 2: -4/5 ÷ 8 = -4/5 × 1/8 (flip and multiply)

Step 3: -4/5 × 1/8 = -1/10 (multiply)

Therefore, we have:

-4/5/8 - x = -1/10 - x

Since the value of the expression is positive, we can write:

-1/10 - x > 0 (inequality)

Now, let's solve for x:

-1/10 - x > 0

Add x to both sides of the inequality.

-1/10 > x

Now, we can write two possible values of x as follows:

x < -1/10 (less than)

or

x > -1/10 (greater than).

Therefore, two possible values of x are :

x < -1/10

or

x > -1/10.

You have asked me to show the work as well, I hope the above steps satisfy your requirements.

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The income level that results in the maximum test score is approximately $45.63.. The correct answer is not provided among the given options.

To find the income level that results in the maximum test score, we need to determine the maximum point of the function represented by the equation: 607.3 + 3.85Income - 0.0423Income^2.

To find the maximum point, we can take the derivative of the function with respect to Income and set it equal to zero. Then we solve for Income.

Let's differentiate the function:

d/dIncome (607.3 + 3.85Income - 0.0423Income^2) = 3.85 - 2 * 0.0423 * Income

To find the maximum point, we set the derivative equal to zero:

3.85 - 2 * 0.0423 * Income = 0

Simplifying:

3.85 = 2 * 0.0423 * Income

Dividing both sides by 2 * 0.0423:

Income = 3.85 / (2 * 0.0423)

Income ≈ 45.63

Therefore, the income level that results in the maximum test score is approximately $45.63.

Among the given answer choices:

A. 607.3 is the constant term in the equation and does not represent an income level.

B. 91.02 is not the income level that results in the maximum test score.

C. 45.50 is close to the correct answer, but the correct approximation is $45.63.

D. The correct answer has been determined using calculus.

So, the correct answer is not provided among the given options.

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Answer:

Use the quotient property of logarithms, logb(x)−logb(y)=logb(xy) log b ( x ) - log b ( y ) = log b ( x y ) . log3(4010) log 3 ( 40 10 ). Step 2.

Answer:

T

F

F

Step-by-step explanation:

I took the test

Answer:

The correct answer should be the first option.

Step-by-step explanation:

Answer:

First option. The graphs domain is -∞<x<∞ and its range is -5 ≤ y < ∞

Step-by-step explanation:

I graphed this function

Domain: x ∈ R

Range: y ∈ [-5, + ∞

Minimum (1, -5)

Verticle intercept (0, -4)

Answer:

hfjf fnnc v jud dbhj  ejem emd  jfbf

Step-by-step explanation:

A triangle has three bisectors, each of which is a line that divides one of the angles of the triangle into two equal parts.The incenter is equidistant from the three sides of the triangle and is the center of the inscribed circle, which is the circle that is tangent to all three sides of the triangle.

A triangle is a two-dimensional geometric shape that has three straight sides and three angles. It is one of the simplest and most fundamental shapes in geometry, and it is widely studied in mathematics, science, and engineering. Triangles can have different types of angles and sides, which give rise to various classifications and properties. For example, a triangle can be classified as equilateral (all sides and angles are equal), isosceles (two sides and two angles are equal), or scalene (all sides and angles are different).

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Answer:

There are 0 solutions

Step-by-step explanation:

9(×-4)=9×-33

9×-36=9×-33

9×-9×-36=-33

-36=-33 and it's impossible

so there's 0 solutions

The dimensions of the rectangular monitor screen are 13 inches by 16 inches.

Let's start by assigning variables to the width and length of the rectangular monitor screen. Let x be the width in inches, then the length in inches would be x + 3, since the length is 3 inches more than the width.

According to the problem, if we double the length and decrease the width by 1 inch, we increase the area by 150 square inches. Using the formula for the area of a rectangle, we can write an equation:

(2(x + 3))(x - 1) = x(x + 3) + 150

Simplifying and solving for x, we get:

2x^2 + 3x - 6 = x^2 + 3x + 150

x^2 - 156 = 0

x = sqrt(156) ≈ 12.49

Since x represents the width of the monitor screen in inches, we need to round it up to the nearest integer, which gives us a width of 13 inches. Then, the length is x + 3 = 16 inches.

Therefore, the dimensions of the rectangular monitor screen are 13 inches by 16 inches.

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Answer:

The small gear would be spinning at 7.5MPH

The solution to the system of equations is (5, -3). To solve the system of equations 3x + 2y = 9 and 2x + 3y = 6, we can use the method of substitution.

We can solve one of the equations for one of the variables in terms of the other variable. For example, we can solve the second equation for x to get x = (6 - 3y)/2. Then, we can substitute this expression for x into the first equation and solve for y: 3(6 - 3y)/2 + 2y = 9

Simplifying this equation, we get: 9 - 9y + 4y = 18. Solving for y, we get: y = -3

Now that we have the value of y, we can substitute it into one of the original equations to solve for x. Using the first equation, we get: 3x + 2(-3) = 9

Simplifying this equation, we get: 3x = 15. Solving for x, we get: x = 5

Therefore, the solution to the system of equations is (5, -3).

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Answer:

5.8

Step-by-step explanation:

To find x use SohCahToa (sin, cos, tan). In this case, we are given the adjacent, and we are looking for the opposite of the angle. This means that tangent should be used. The equation should be set up as \(tan(58)=\frac{x}{3.6}\). Then, to isolate the variable multiply both sides by 3.6. This means that the new equation 3.6tan(58)=x. Finally, plug this into a calculator to solve. The final answer is 5.8.

Answer:

10 is the answer

hello bro

Let's consider a hypothetical scenario where an organization is studying the factors influencing employee productivity. One potential dummy variable that could be included in the regression analysis is "training attendance," which takes the value of 1 if an employee attended a specific training program and 0 otherwise.

The rationale behind including this dummy variable is that attending the training program might enhance employees' skills and knowledge, leading to improved work performance. In terms of nonlinear variables, "work experience" could be considered. Rather than treating work experience as a linear variable, it could be categorized into different groups such as "entry-level," "intermediate," and "senior." This nonlinear representation accounts for the potential non-linear relationship between work experience and performance. For instance, employees with entry-level experience might have a steep learning curve and exhibit rapid performance improvement, while those in the senior category might have plateaued in their performance due to reaching their maximum potential. Including such dummy or nonlinear variables allows for a more nuanced analysis of their impact on work performance and helps capture the complexities that may exist in real-world scenarios.

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Answer:

2 3/4.

Step-by-step explanation:

Eliminate 1/2 from the side with w.

Subtract 1/2 from both sides:

\(3\frac{1}{4} -\frac{1}{2} =\frac{1}{2} -\frac{1}{2} +w\)

\(2\frac{3}{4} = w\)

Answer:

Given:

To Find:

Solution:

First, we have to find the Circumference of the Wheel:

As, we know:

\( \bigstar \:{\boxed{ \rm{Circumference_{(Circle)} = 2 \pi r }}} \: \bigstar\)

where,

So, the Circumference of wheel will be:

\({\large{\rm{\dashrightarrow{Circumference_{(Wheel)} = 2 \times \frac{22}{7} \times 1.75 }}}} \)

\({\large{\rm{\dashrightarrow{Circumference_{(Wheel)} = \frac{2 \times 22}{7} \times 1.75}}}}\)

\({\large{\rm{\dashrightarrow{Circumference_{(Wheel)} = \frac{44}{7} \times 1.75 }}}}\)

\({\large{\rm{\dashrightarrow{Circumference_{(Wheel)} = \frac{44 \times 1.75}{7} }}}}\)

\({\large{\rm{\dashrightarrow{Circumference_{(Wheel)} = \frac{77}{7} }}}}\)

\({\large{\rm{\dashrightarrow{Circumference_{(Wheel)} ={ \boxed{ \rm{ \red{11m}}}}}}}}\)

Hence, the circumference of the wheel is 11m.

Now, we have to convert distance covered km into m:

\({\leadsto{\large{\rm{ \: Distance \: Covered = 22km}}}}\)

\({\leadsto{\large{\rm{ \: Distance \: Covered =(22 \times 1000)m }}}}\)

\({\leadsto{\large{\rm{ \: Distance \: Covered = {\boxed{\rm{\red{22000m}}}}}}}}\)

Hence, the distance covered is 22000m.

Now, we have to find the number of revolution:

Given:

According to the question by using the formula, we get:

\( \bigstar \: { \boxed{ \large{ \rm{Number \: of \: Revolution \: = \: \frac{Distance \: Covered}{Circumference }}}}}\)

\({ \large{ \longrightarrow{ \rm{Number \: of \: Revolution = \frac{22000}{11} }}}}\)

\({ \large{ \longrightarrow{ \rm{Number \: of \: Revolution = { \boxed{\red{2000}}}}}}}\)

Answer:

45

Step-by-step explanation:

5 * 6 = 30$ (the cost of backpacks)

3 * 5 = 15$ (the cost of pens)

15 + 30 = 45

$45

The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.

To find the area of triangle EFG, we can use the formula:

\(Area = (1/2) \times base \times height\)

In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.

First, let's find the length of FG. We can use the law of cosines:

FG² = EF² + EG² - 2 * EF * EG * cos(∠F)

EF = 72 inches

EG = 34 inches

∠F = 21°

Plugging these values into the equation:

FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)

Solving for FG, we get:

FG ≈ 83.02 inches

Next, we need to find the height. We can use the formula:

height = \(EF \times sin( \angle F)\)

Plugging in the values:

height = 72 * sin(21°)

height ≈ 25.52 inches

Now we can calculate the area:

\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)

Area ≈ 1060.78 square inches

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The answer is 2(x+3)

hope it helps!

Answer:

2x + 6

Step-by-step explanation:

2(x +3)

2x +6

multiply x by 2=2x

multiply 3×2=6

2x +6

Answer:

Hence the value of the test statistic is 0.780.

Step-by-step explanation:

Given:

Test Statistic:-

\(t=\frac{\bar{X}-\mu }{\frac{S}{\sqrt{n}}}\)

\(t=\frac{11.2-10.8 }{\frac{1.7}{\sqrt{11}}}\)

\(t=\frac{0.4}{0.5126}\\t=0.780\)

Answer:

3/6 chance.

Step-by-step explanation:

To roll an odd number on a six sided dice (Guessing it's six sided) you would have to roll either a 1, 3, or 5.  That would it 3 choices.  You get the six by taking the amount (like the amount of sides on the dice).  You would then have a 3/6 chance of rolling an odd number.

Answer: 120 degrees, the total is 720 degrees, so that divided by 6 is 120

Answer:

(B)

Step-by-step explanation:

Can't explain lol, but that's the answer

Answer:

both

Step-by-step explanation:

given sss, you will need to use Law of Cosines.

However, one you get one of the angles, the easiest way to solve for the second angle is to just use law of sines.

The median would be a better choice than the mean for measuring the center of the data set with the value of 70 when its distribution is skewed with some outliers.

The median is the middle value in an ordered list of values, while the mean is the average.

The choice of either the median or the mean depends on the distribution of the data values.

When the distribution of the data values is symmetrical without clear outliers, the mean is the better central value to use.

When the distribution of data values is skewed with clear outliers, the median serves as the better central value.

Thus, use the median when the data distribution is skewed with some outliers.

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