Luke is 5 years younger than 3 times Sydney’s age, s. In this situation, what does 3s represent?

Luke’s age
Sydney’s age
three times Luke’s age
three times Sydney’s age

The probability that a randomly selected student has a typing speed of less than 51 words per minute if the mean (u) is 47 words per minute and the standard deviation (o) is 4 words per minute is; 68%

The empirical rule in statistics states that for normal distributions, 68% of observed data points will lie inside one standard deviation of the mean, 95% will fall within two standard deviations, and 99.7% will occur within three standard deviations.

The formula for z-score is;

z = (x' - μ)/σ

where;

x' is sample mean

μ is population mean

σ is standard deviation

We are given;

x' = 51

μ = 47

σ = 4

Thus;

z = (51 - 47)/4

z = 1

From empirical formula at 1 standard deviation above the means, the probability is 68%.

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Answer: The statement given tells us that the Acme Company manufactures widgets and that the distribution of widget weights is bell-shaped. A bell-shaped distribution is also known as a normal distribution or a Gaussian distribution. This means that the majority of the data will cluster around the mean (average) value and the farther the data is from the mean, the less common it is.

The mean weight of the widgets is given as 51 ounces, which is the average weight of all the widgets manufactured by the company. The standard deviation is given as 10 ounces, which is a measure of how spread out the data is from the mean. A smaller standard deviation means that the data is more tightly clustered around the mean, while a larger standard deviation means that the data is more spread out.

This information allows us to make some predictions about the weights of the widgets. For example, we know that approximately 68% of the widgets will weigh between 41 ounces (mean - standard deviation) and 61 ounces (mean + standard deviation). Additionally, we know that approximately 95% of the widgets will weigh between 31 ounces (mean - 2standard deviation) and 71 ounces (mean + 2standard deviation) and 99.7% of the widgets will weigh between 21 ounces (mean - 3standard deviation) and 81 ounces (mean + 3standard deviation).

It is important to note that these predictions are based on the assumption that the distribution of widget weights is indeed bell-shaped. If that assumption is not true, these predictions may not be accurate.

Step-by-step explanation:

By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.

The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.

To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.

Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.

Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.

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Answer:

Length: 13.9 inches

Step-by-step explanation:

a^2 + b^2 = c^2

a = 8 and c= 16

8^2 + b^2 = 16^2

64 + b^2 = 256

b^2 = 256 - 64

b = sqrt 192

b = 13.9

The length of the zip wire is approximately 25.42 meters.

To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.

Given:

Distance between the two posts: 25m

Angle of the zip wire to the horizontal: 10°

We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.

In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.

Using the cosine function:

cos(angle) = adjacent/hypotenuse

cos(10°) = 25m/hypotenuse

To find the hypotenuse (length of the zip wire), we can rearrange the equation:

hypotenuse = 25m / cos(10°)

Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.

Therefore, the length of the zip wire is:

hypotenuse = 25m / 0.9848 ≈ 25.42m

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The normal range using a compound inequality is 1.5 < x < 4

From the question, we have the following parameters that can be used in our computation:

pH values less than 4

pH values greater than 1.5

Represent the pH values with x

Using the above as a guide, we have the following:

x is less than 4

x is greater than 1.5

When represented as inequality, we have

x < 4 and x > 1.5

Combine the inequalities

1.5 < x < 4

Hence, the normal range is 1.5 < x < 4

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Answer:

S.A = 804.4 ft

Step-by-step explanation:

Given the following data;

Diameter of sphere = 16 ft

Radius = diameter/2

Radius, r = 16/2 = 8 ft

Pie, π = 3.142

To find the surface area of a sphere;

Mathematically, the surface area of a sphere is given by the formula;

S.A = 4πr²

Substituting into the formula, we have;

S.A = 4 * 3.142 * 8²

S.A = 12.568 * 64

S.A = 804.4 ft

Answer:

its 1

Step-by-step explanation:

The tax revenue generated from property taxes is often used to fund expressions public services such as schools, parks, and infrastructure projects in the local community.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +. The calculation of property tax is typically based on the assessed value of the property and the tax rate set by the local government. The assessed value is determined by a government-appointed assessor who evaluates the value of the property based on factors such as its location, size, age, and condition. The tax rate is then applied to the assessed value to determine the amount of tax owed by the property owner. The tax revenue generated from property taxes is often used to fund public services such as schools, parks, and infrastructure projects in the local community.

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Randy's percentage change from Week 1 to Week 2 was 2.37% greater than Week 2 to Week 3.

The percentage change will be calculated by the relation -

Percentage change = change in timing ÷ original time × 100

Calculating percentage change between Week 1 and Week 2

Change = 28.8 - 27.6

Change = 1.2 seconds

Percentage = (1.2 ÷ 28.8) × 100

Percentage = 4.17%

Calculating percentage change between Week 2 and Week 3

Change = 27.6 - 27.1

Change = 0.5 seconds

Percentage = (0.5 ÷ 27.6) × 100

Percentage = 1.8%

So, percent of change from Week 1 to Week 2 than from Week 2 to Week 3 was = 4.17 - 1.8

Percentage change = 2.37%

Therefore, the percentage change from Week 1 to Week 2 was 2.37% greater than Week 2 to Week 3.

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Answer:

approximately 4.2667%

Step-by-step explanation:

To calculate the percentage above the website's estimate that Jerrold set his asking price, we can use the following formula:

Percentage above = ((Asking price - Website estimate) / Website estimate) * 100

Percentage above = (($750,000 - $715,000) / $715,000) * 100

Percentage above ≈ 4.895

Therefore, Jerrold set his asking price approximately 4.895% above the website's estimate.

To calculate the percentage below his asking price that Jerrold sold for, we can use the following formula:

Percentage below = ((Selling price - Asking price) / Asking price) * 100

Percentage below = (($718,000 - $750,000) / $750,000) * 100

Percentage below ≈ -4.2667

Therefore, Jerrold sold his house approximately 4.2667% below his asking price.

Answer:

6 pairs of headphones

Step-by-step explanation:

$75.00 Balance

75 - 15.06 = 59.94

59.94/9.99 = 6

x = 6

Hope this helps :)

Answer:

208333 tires can be made with a budget of $ 300000.

Step-by-step explanation:

The total budget (\(C\)), in monetary units, is the sum of fixed costs (cost of introducing the new line) (\(C_{o}\)), in monetary units, and variable costs (cost of producing tires) (\(C_{v}\)), in monetary units:

\(C = C_{o} + C_{v}\) (1)

If we know that \(C = \$\,300000\) and \(C_{o} = \$\,50000\), then variable costs are:

\(C_{v} = C-C_{o}\)

\(C_{v} = \$\,300000 -\$\,50000\)

\(C_{v} = \$\,250000\)

And the variable cost can be defined by the following formula:

\(C_{v} = r\cdot n\) (2)

Where:

\(r\) - Production cost of a tire, in monetary units per tire.

\(n\) - Amount of produced tires, in tires.

If we know that \(C_{v} = \$\,250000\) and \(r = \$\,1.20\,\frac{1}{tire}\), then the amount of produced tires:

\(n = \frac{C_{v}}{r}\)

\(n = \frac{\$\,250000}{\$\,1.20\,\frac{1}{tire} }\)

\(n = 208333\,tires\)

208333 tires can be made with a budget of $ 300000.

Answer: 208,000

Step-by-step explanation:

round it to the nearest thousand

Answer:

\(x = 9\)

Step-by-step explanation:

\(~~~~~~4x-12 = 24\\\\\implies 4(x-3) = 24\\\\\implies x -3 = \dfrac{24}4\\\\\implies x-3 = 6\\\\\implies x = 6+3\\\\\implies x = 9\)

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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If the medium bottle contains 70% as much juice as the large bottle, then the medium bottle contains 375 milliliter of juice  

The quantity of juice contains in the large bottle = 500 milliliter

The percentage of juice contains in medium bottle = 75%

The quantity of juice in the  medium bottle = The quantity of juice contains in the large bottle × (The percentage of juice contains in medium bottle /100)

Substitute the values in the equation

The quantity of juice in the  medium bottle = 500 × (75/100)

Divide the numbers

= 500 × 0.75

Multiply the numbers

= 375 milliliter

Therefore, the medium bottle contains 375 milliliter of juice

I have answered the question in general, as the given question is incomplete

The complete question is:

A large bottle of juice contains 500 milliliters of juice. A medium bottle contains 70% as much juice as the large bottle. How many milliliters of juice are in a medium bottle?

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Answer:

None

Step-by-step explanation:

As per the defenition of Absolute Value, There are no negative values, therefore there are no possible answers, hence you would say "None".

Definition: Absolute Value is the distance a number is away from 0.

Therefore, Distance can never be 0.

Answer:

63

Step-by-step explanation:

plz brainliest :)

do you want an explanation?

Answer:

The Product for this equation is 63.

Step-by-step explanation:

Its 63, when mutiplying two or more numbers the product is the result.

Like 7 x 9 = 63, so 63 would be our product. So the product is the answer of a equation while the equation is being multiplied or more than one number being mutiplied.

The expression when evaluated is 9^(x - 2)

From the question, we have the following parameters that can be used in our computation:

(9^(x))/(9^(3))9^(5)

Remove the excess brackets

so, we have the following representation

(9^x)/(9^3) * 9^5

When the quotients are evaluated, we have

9^(x - 3) * 9^5

When the products are evaluated, we have

9^(x - 3 + 5)

Evaluate the sum

9^(x - 2)

HEnce, the solution is 9^(x - 2)

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Answer:

Step-by-step explanation:

MO is angle bisector of ∠LMN, so:

Substitute with expressions:

Solve for x:

Find m∠NMO:

Correct choice is D

The equation of the axis of symmetry of the parabola is equal to x = 4.

In this problem we find the representation of a parabola whose axis of symmetry is parallel with y-axis. The axis of symmetry passes through the vertex of the parabola. The definitions of the vertex and the axis of symmetry are, respectively:

Vertex

(x, y) = (h, k)

Axis of symmetry

x = h

If we know that h = - 4, then the equation of axis of symmetry is x = 4.

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Answer: Yes, there is an outlier of 45, This means that one person's age was 45, which is 25 years younger than the next closest age.

Hope this helps! :)

Step-by-step explanation:

Answer:

D

GIVE HIME BRAINLIEST

Step-by-step explanation:

Answer:

do the butterfly method if you don't know how to do that comment and I'll show you a screenshot

Answer: resource - trust me bro

Step-by-step explanation: Let x = the smaller numberLet 2x + 10 = the larger numberx(2x + 10) = 1002x^2 + 10x - 100 = 0Divide both sides of the equation by 2.x^2 + 5x - 50 = 0(x - 5)(x + 10) = 0x - 5 = 0 or x + 10 = 0x = 5 or x = -10, not a positive number2x + 10 = 2(5) + 10 = 20

The probability is 0.8427.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.

Here we are total number of insurance agents = 89

And  number of insurance agents do own a handgun = 75

So we asked probability that a insurance agent will own a handgun  

Probability = no.of insurance agents/no.of insurance agents who owns a handgun

Probability = 75/89 = 0.8427

The probability that the agent will own a handgun is .84

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Answer:

796871

Step-by-step explanation:

Based on the given conditions, formulate:

5000 x (1 - (1 + 10%) 10)

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

           1 - (1 + 10%)                                                                          

Evaluate the equation/expression:

796871.23005

Find the closest integer to

798871.23005

=  796871

Answer:

See Explanation

Step-by-step explanation:

Given

The three equations

Required

Label the x and y-axes

The general rule is to place the independent variable (x) on the x-axis and the dependent (y) on the y-axis.

What x and y represented are always stated after writing the equation.

So, we have:

\((a)\ y = x + 5\)

\(x \to\) Number of chores

\(y \to\)Amount

\((b)\ y =15x\)

\(x \to\) Time (hours)

\(y \to\)Miles traveled

\((c)\ y = 6x\)

\(x \to\) Time (hours)

\(y \to\)Miles traveled

Answer: YES

Step-by-step explanation: both equal 5 when divided.