Among the 30 largest U. S. Cities, the mean one-way commute time to work is 25. 8 minutes. The longest one-way travel time is in New York City, where the meantime is 39. 7 minutes. Assume the distribution of travel times in New York City follows the normal probability distribution and the standard deviation is 7. 5 minutes.


A. What percent of New York City commutes are for less than 30 minutes?




B. What percent are between 30 and 35 minutes ?

To solve this problem, let us first find the probability that x < y when point (x, y) is randomly selected from inside the rectangle. Then, using the area of the rectangle, normalize the probability.

The probability that x < y is 1/8.

To find the probability that x < y when a point is randomly chosen from within the rectangle. Let A be the area of the region where x < y, and B be the area of the rectangle. Then, the probability that x < y is given by P(x < y) = A/B. To find A and B, let us first look at the line x = y, which passes through (0,0) and (1,1) and separates the rectangle into two regions: Region I: The area to the right of the line x = y, where x > y. Region II: The area to the left of the line x = y, where x < y. region xy plane Region I has area B - A, and Region II has area A. Hence, B - A + A = B, which implies A/B = A/(B - A) = 1/2. Therefore, we only need to find A.

Let C be the triangle with vertices (0,0), (1,0), and (1,1). This triangle has area 1/2. Since the rectangle has height 1, the line x = y intersects the rectangle at a height of 1/2, which means that A is the area of the trapezoid with vertices (1/2, 0), (1, 0), (1, 1), and (1/2, 1/2).trapezoid xy plane. To find the area of this trapezoid, we can split it into a rectangle and a right triangle, as shown below: split trapezoid xy plane. The rectangle has base 1/2 and height 1, so its area is 1/2. The triangle has base 1/2 and height 1/2, so its area is 1/8. Hence, the area of the trapezoid is 1/2 + 1/8 = 5/8. Therefore, the probability that x < y is P(x < y) = A/B = (5/8) / 4 = 1/8.

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Answer:$2.50

Step-by-step explanation: You will take $49.95 times 0.05 or 5% and you get 2.497 and round that to $2.50.

The investment problem is modeled by an initial value problem (IVP) where the rate of change of the investment is determined by the initial investment, monthly deposits, and the interest rate.

a) The investment problem can be modeled by an initial value problem where the rate of change of the investment, y(t), is given by the initial investment, monthly deposits, and the interest rate. The IVP can be written as:

dy/dt = 0.09y + 200, y(0) = 500.

b) To solve the IVP, we can use an integrating factor to rewrite the equation in the form dy/dt + P(t)y = Q(t), where P(t) = 0.09 and Q(t) = 200. Solving this linear first-order differential equation, we obtain the solution for y(t).

c) To find the value of the investment after 2 years, we substitute t = 2 into the obtained solution for y(t) and calculate the corresponding value.

d) After 2 years, the monthly deposit increases to $300. To find the value of the investment a year later, we substitute t = 3 into the solution and calculate the value accordingly.

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Answer: 15 feet

Step-by-step explanation: i said 15 feet so it's probably 15 feet

15. The weight of the steel structure is 0.25 times the total weight of the bridge's materials. 16. The weight of glass and granite is 0.125 times the total weight of the bridge's materials.

15. To represent the weight of the steel structure divided by the total weight of the bridge's materials, we can use the following division expression:

Weight of steel structure / Total weight of materials = 400 / (1000 + 400 + 200)

Simplifying the expression, we get:

Weight of steel structure / Total weight of materials = 400 / 1600 = 0.25

16. To represent the weight of glass and granite in the bridge compared to the total weight of the materials in the bridge, we can use a fraction:

Weight of glass and granite / Total weight of materials = 200 / (1000 + 400 + 200)

Simplifying the expression, we get:

Weight of glass and granite / Total weight of materials = 200 / 1600 = 0.125

The fraction represents the proportion of weight that glass and granite contribute to the bridge compared to all the other materials used in its construction. In this case, it's 12.5% of the total weight.

The weight distribution of materials used in building structures is a critical factor in determining its structural integrity and overall safety. Builders need to consider the strength and durability of each material used and the weight distribution to ensure that the bridge can withstand the forces acting on it.

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Answer:

D

Step-by-step explanation:

volume of rectangular prism

=height×base

=6×50

Answer:

300

Step-by-step explanation:

got it right on the quiz

The perimeter of the gazebo can be calculated by adding up the length of all 8 sides. Since each side is 4 feet long, the perimeter is simply 8 times 4 feet, or 32 feet.

In geometry, the perimeter of a polygon is defined as the total length of its sides. For regular polygons, such as an octagon, all sides have equal length, and the perimeter is simply the product of the number of sides and the length of each side.

In this case, since each side of the gazebo is 4 feet long, we can simply multiply by 8 to get the total length of all sides, or the perimeter. Therefore, the perimeter of the gazebo is 32 feet.

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Answer:

Option 1 -----> -10

Step-by-step explanation:

Substitute a and b into the equation :

-{a-b} =  

-{7-(-3)} =

-{7+3} =

-{10} =

-10 ---> Option 1

Hoep this helped and brainliest please

Answer: Factoring is essentially the reverse of the distributive property. You are basically trying to simplify the polynomial by taking out common factors. You also may try reducing the power (or the highest exponent) of the polynomial with factoring. I would say that factoring is the breaking down of a bigger polynomial into a product of two expressions that are usually multiplied by each other. One specific use of factoring we see a lot is the quadratic formula.

1. Quadratic Factoring --> \(x^2+2x-15\) --> we have an \(x^2\) but we want there to only be "\(x\)"s. Here we need to constant numbers (integers), that multiply together to get \(-15\), and add up to \(+2\). (5 and -3)

    - \(x^2+2x-15\) ==> \(x^2+5x-3x-15\) ==> \(x(x+5)-3(x+5)\) ==> \((x-3)(x+5)\)

Above: We can see that we factor out \(x\) from \(x^2+5x\) (This shows that we are aiming to break it down to make it easier to evaluate).

Remember: Factoring does not always mean that the polynomial is in a simpler form. There are many situations where factoring is totally unnecessary and complicates the polynomial even more.

--------------------------------------------------------------------------------------------------------------On a separate note: Distributive Property, if you are unsure or not fully sure on what that means, is when you multiply two expressions together to create one expression. Multiple expressions are combining into one.

Answer:the answer is x=5,-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve

1

Add  

5

5

5

to both sides of the equation

1

1

−

5

=

2

8

11p-5=28

11p−5=28

1

1

−

5

+

5

=

2

8

+

5

11p-5+{\color{#c92786}{5}}=28+{\color{#c92786}{5}}

11p−5+5=28+5

2

Simplify

Add the numbers

Add the numbers

1

1

=

3

3

11p=33

11p=33

3

Divide both sides of the equation by the same term

1

1

=

3

3

11p=33

11p=33

1

1

1

1

=

3

3

1

1

1111p​=1133​

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

3

p=3

p=3

Solution

=

3

so basically yeah p = 3

Answer:

All angles on a triangle and stright line add up to 180°.  

So, A and C= 50° because the triangle is isosceles. Therefore, then B+A+C+= 180°.

B=°

C=130°

D= 25°

The scale factor of the transformation is 1.5

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

Point T (6,2) T’ (9,3)

Also, see attachment for the missing graph in the question

This means that

The scale factor of the transformation = T'/T

Substitute the known values in the above equation, so, we have the following representation

Scale factor = (9, 3)/(6, 2)

Evaluate

Scale factor = 1.5

Hence, the scale factor is 1.5

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The arc length of the circle is 19.54 inches.

The central angle of the sector is 7 / 9 π rads and the radius of the circle is 8 inches.

Therefore, the arc length of the circle can be calculated as follows:

arc length = ∅r

where

Therefore,

∅ = 7 / 9 π rads

r = 8 inches

Hence,

arc length =  7 / 9 π × 8

arc length = 56π / 9

arc length =  56 × 3.14 / 9

arc length = 19.54 inches

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Answer: La compañera de Eduardo, Francisca, está equivocada.

Step-by-step explanation:

Para determinar quién tiene la razón, es necesario conocer la cantidad de pegamento necesaria para cubrir todos los tarugos. Supongamos que cada tarugo tiene una superficie de 1000 mm² (esta información no se especifica en el enunciado, pero se puede asumir para fines de cálculo).

Entonces, la superficie total de los 20 tarugos sería:

20 tarugos x 1000 mm²/tarugo = 20,000 mm²

Para cubrir completamente esta superficie, Eduardo necesita una cantidad de pegamento igual a 20,000 mm².

Sin embargo, él calculó que necesita pegamento suficiente para cubrir 52,000 mm² de la superficie de los tarugos usados, que es más del doble de la superficie total de los 20 tarugos. Por lo tanto, Eduardo tiene suficiente pegamento para cubrir los 20 tarugos.

Answer:

33.33%

Step-by-step explanation:

8 out of 24 hours is equivalent to 1/3 which equals to 33.33%

Answer:

8/24 converted to a percentage = 33.333333333333%

Answer: 65

Step-by-step explanation:

First we need to know what the 13 is 20% of. 13 is 20% of 65.

To make sure we are correct we must take 20% of the 65 which gives us 13 showing that 20% of the 65 skittles (13) are red.

Hope that helped :)

To simplify the trigonometric expression secθsinθ/tanθ, we can start by writing each trigonometric function in terms of sine and cosine.

Recall that secθ is equal to 1/cosθ and tanθ is equal to sinθ/cosθ.

So, the expression becomes (1/cosθ)(sinθ/(sinθ/cosθ)).

Next, we can simplify the expression by multiplying the numerators and denominators of the fraction:

(1/cosθ)(sinθ*sinθ)/(sinθ*cosθ)).

Simplifying further, we get (sin²θ)/(cosθ*sinθ*cosθ).

Since sinθ/cosθ is equal to tanθ, the expression becomes (sin²θ)/(cos²θ).

Using the trigonometric identity sin²θ + cos²θ = 1, we can rewrite the expression as 1 - cos²θ.

The simplified expression is 1 - cos²θ.

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Option b is true to match the vector field f with the given plot f(x, y)=x, -y

The earliest known attempts at the concept of functions can be traced back to the work of the Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Originally, functions were idealized dependencies of one variable on another. For example, planetary positions are functions of time. Historically, this concept was developed in calculus towards the end of his 17th century, and the functions studied were differentiable (i.e. they had a high degree of regularity) until his 19th century ).

Given,

f(x, y) = x, -y

gt; at x⇒∞, y⇒-∞ downwards

at x⇒∞, y⇒+∞ downwards

Therefore, option b is true to match the vector field f with the given plot

f(x, y)=x, -y

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The complete question is as follows:

Match the vector field f with the correct plot. f(x, y) = x, −y

Answer:312 people

Step-by-step explanation:

Answer:

312

Step-by-step explanation:

78 x 4

A variable is any property, number, or quantity that can be measured or counted. Variables can also be referenced as data items.

Inference: Inference uses selected samples from a population to estimate the properties of unknown people.

A record (or record) is a collection of data. For tabular data, a record corresponds to one or more database tables, each table column represents a specific variable, and each row corresponds to a particular record in that data set.

Therefore:

All the data collected in particular is referred to as Data Set.

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========================================================

Explanation:

x = sticker price, which is some number larger than 9 (otherwise the store loses money)

x-9 = profit made per speaker

To get the gross margin percentage, we divide the profit over the sales (aka revenue). So we'll divide (x-9) over x

The expression (x-9)/x represents the gross margin in decimal form. Set this equal to 0.80 and solve for x

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

(x-9)/x = 0.80

x-9 = 0.80x

x-0.80x = 9

0.20x = 9

x = 9/0.20

x = 45

The sticker price is $45

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

If the sticker price is $45 per speaker, then the store owner gets 45-9 = 36 dollars in profit per speaker sold. The gross margin would be (profit)/(sales) = 36/45 = 0.80 = 80%

In other words, 80% of the revenue is profit (the remaining 20% is costs or expenses).

Answer:

B

Step-by-step explanation:

The steps to bring equation to standard form is Distribute the 3x and then subtract 9 from both sides of the equation

The standard form for linear equations in two variables is Ax+By=C.

For example, 2x+3y=5 is a linear equation in standard form.

According to the question

3x (2x - 7) = 9

Now,

Step1: Multiply 3x to the braces part

6\(x^{2}\) - 21 = 9

Step 2 : Subtract 9 both side

6\(x^{2}\) - 30 = 0

Its standard form

Hence, The steps to bring equation to standard form is Distribute the 3x and then subtract 9 from both sides of the equation

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The beta of the portfolio, considering $1 with a beta of 3% and $2 with a beta of 7% and a weight of 0.1 (w1), is 6.6%.


The beta of a portfolio measures its sensitivity to overall market movements. To calculate the beta of a portfolio, we need the individual asset weights and betas of each asset. Given that $1 has a beta of 3% and $2 has a beta of 7%, with a weight of 0.1 (w1), we can determine the beta of the portfolio.

To calculate the beta of the portfolio, we use the following formula:

β(portfolio) = (w1 * β1) + (w2 * β2) + ...

In this case, the portfolio contains two assets, so the formula becomes:

β(portfolio) = (w1 * β1) + (w2 * β2)

Substituting the given values:

β(portfolio) = (0.1 * 3%) + (0.9 * 7%)

β(portfolio) = 0.3% + 6.3%

β(portfolio) = 6.6%

Therefore, the beta of the portfolio is 6.6%.

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We find the mean grade 7 by using formula Mean = ∑x / n

Where, ∑ represents the summation

x represents observations

n represents the number of observations .

In addition to the mode and median, the mean is one of the measurements of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally.

The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean.

By dividing the sum of the given numbers by the entire number of numbers, the mean (the average of the given numbers) is determined.

Mean = (Sum of all the observations/Total number of observations)

The mean in grade 7 is calculated by using formula Mean = ∑x / n

Where, ∑ represents the summation

x represents observations

n represents the number of observations .

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By handing the survey to every third person, Kyle used a non-random sampling method. Each student in his class had an equal chance of being selected to receive the survey.

Non-random sampling methods involve selecting participants based on a specific criteria, in this case, every third person. This method is not considered random as it does not allow for every individual in the population to have an equal chance of being selected. However, since Kyle handed the survey to every third person, each student in his class had an equal chance of being selected, as every third person would have an equal probability of being selected. Therefore, the chance of being selected was equal for every student in his class.


By handing the survey to every third person, Kyle used a non-random sampling method. Each student in his class had an equal chance of being selected to receive the survey.

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Answer:

the constant inequality of my life, always close but never there