Eric wolks 2,75 miles to and from work
every day for an entire year. How many
miles did he walk? Write a CER to justify your answer

Answer:

first the primerter then the area

Step-by-step explanation:

Answer:

The height of the cone is simple... here are the steps

Step-by-step explanation:

V= 1/3πr²h

V would be 1,398

π would be 3.14

r² 9.2x9.2

so the new equation is 1,398=1/3(3.14)(84.64)h

Now to get h all by itself multiply all in the equation... after divide by 1/3

1,398= whatever number xh

Now divide that whatever number by 1,398 and you find the height.

Hope this helps.

Answer:

Therefore, the length of the ladder is 13 feet.

Step-by-step explanation:

This is a classic example of a right triangle problem in geometry. The ladder serves as the hypotenuse of the triangle, while the distance from the building to the ladder and the height of the window serve as the other two sides. Using the Pythagorean theorem, we can solve for the length of the ladder:

ladder^2 = distance^2 + height^2 ladder^2 = 5^2 + 12^2 ladder^2 = 169 ladder = √169 ladder = 13

Therefore, the length of the ladder is 13 feet.

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We know that 1 gallon = 3.785 L,Therefore, 24.1364 L = 24.1364/3.785 gallons= 6.3781 gallons (rounded to four decimal places)Therefore, the car will use approximately 6.3781 gallons of gas on this trip.

The car travels for 3.0 hours at a velocity of 55 miles per hour. The gas mileage of the car is 11 km/L. We have to find how many gallons of gas will be used on this trip. We can solve this problem by using the following steps:Step 1: Convert the velocity from miles per hour to km/hourWe know that 1 mile

= 1.609 km Therefore, 55 miles per hour

= 55 × 1.609 km per hour

= 88.5 km per hour Step 2: Calculate the distance traveled by the car We know that distance = velocity × time Therefore, distance traveled by the car

= 88.5 km/hour × 3.0 hours

= 265.5 km

Step 3: Convert the distance from kilometers to miles We know that 1 mile

= 1.609 km Therefore, 265.5 km

= 265.5/1.609 miles

= 165.1287 miles (rounded to four decimal places)Step 4: Calculate the fuel consumption in liters We know that fuel consumption

= distance traveled/gas mileage Therefore, fuel consumption

= 265.5 km/11 km/L

= 24.1364 L (rounded to four decimal places)Step 5: Convert the fuel consumption from liters to gallons.We know that 1 gallon

= 3.785 L,Therefore, 24.1364 L

= 24.1364/3.785 gallon

s= 6.3781 gallons (rounded to four decimal places)Therefore, the car will use approximately 6.3781 gallons of gas on this trip.

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Quadrantal angles lie on coordinate axes, and the sine function applies to all angles, including quadrantal angles.

The statement does not make sense because the sine function is defined for all angles, including quadrantal angles. A quadrantal angle is an angle that lies on one of the coordinate axes (0°, 90°, 180°, or 270°) in the Cartesian coordinate system. In trigonometry, the sine function relates the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle. The sine function is defined for all angles, including the quadrantal angles.

For example, when dealing with the angle 0°, which is a quadrantal angle, the sine of 0° is defined and equal to 0. The sine function takes an angle as input and outputs a value between -1 and 1, representing the ratio of the opposite side to the hypotenuse in a right triangle. Therefore, the statement that "sinθ is undefined" for a quadrantal angle does not make sense as the sine function is defined for all angles, including quadrantal angles.

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Answer:

1/3

Step-by-step explanation:

The one-third fraction of 9 is equal to 3.

To understand more, check below explanation.

We have to find what fraction of 9 is 3.

Let us consider that x fraction of 9 is equal to 3.

It means that,

                        x × 9 = 3

                         x = 3/9

                         x = 1/3

Hence, One- third fraction of 9 is equal to 3.

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1) The function f(x) is defined as follows: B. F(x) = -(x + 2)²(x - 2).

2) The standard definition of function f(x) is given as follows: A. F(x) = ax³ + bx² + cx + d.

4. The solution to the system of equations is approximated by the following option:

A. (-3.43, 6.30).

The function for item 1 is defined considering it's roots, as follows:

Hence the function is defined as follows:

F(x) = a(x + 2)²(x - 2).

The y-intercept is positive, meaning that:

-8a > 0.

Thus the leading coefficient a is negative, and the correct option is given by option B.

The cube function, with all positive coefficients, is given by option A in item 2.

The graphic solution of a system of equations is given by the point of intersection of all the equations that compose the system.

The equations that compose the system in this problem are given as follows:

For this problem, the systems are composed by a third degree function v(x) and a linear function b(x), hence we graph them and obtain the point of intersection.

From the graph given by the image presented at the end of the answer, the coordinates of the point of intersection are presented as follows:

(-3.432, 6.296).

This means that, using rounding, the correct option is given by option A for the solution of the system of equations.

Item 1 asks to define the graphed function, while item 2 asks for the standard cube function.

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\(\displaystyle\\\lim_{x\to\infty}\left(1-\dfrac{2}{3x}\right)^x=\lim_{x\to\infty}\left(\left(1+\left(-\dfrac{2}{3x}\right)\right)^{-3x/2}\right)^{-2/3}=e^{-2/3}=\dfrac{1}{e^{2/3}}\)

Evaluating at infinity, we have:

         \(\displaystyle \lim_{x \to \infty}{\left( 1 - \frac{2}{3x} \right)^x = \left(1 - \frac{2}{\infty} \right)^{\infty} = 1^{\infty}\)

Therefore, we must perform an algebraic manipulation to obtain an expression similar to the definition of e. To do so, we first modify the expression inside the parentheses (and denote the limit as L):

       \(\displaystyle L = \lim_{x \to \infty}{\left( 1 - \frac{2}{3x} \right)^x = \lim_{x \to \infty}{\left( 1 + \frac{2}{-3x} \right)^x = \lim_{x \to \infty}{\left( 1 + \frac{1}{-\frac{3}{2}x} \right)^x\)

So in the exponent we must have \(\bf{-\tfrac{3}{2}x }\) somehow. Note that this is achieved by doing:

                \(\displaystyle L = \lim_{x \to \infty}{\left( 1 + \frac{1}{-\frac{3}{2}x} \right)^x = \lim_{x \to \infty}{\left( 1 + \frac{1}{-\frac{3}{2}x} \right)^{\left(-\frac{2}{3}\right)\left(-\frac{3}{2}\right)x}\)

Then we use properties of exponents:

          \(\displaystyle L = \lim_{x \to \infty}{\left( 1 + \frac{1}{-\frac{3}{2}x} \right)^{\left(-\frac{2}{3}\right)\left(-\frac{3}{2}\right)x} = \left[ \lim_{x \to \infty}{\left( 1 + \frac{1}{-\frac{3}{2}x} \right)^{-\frac{3}{2}x} \right]^{-\frac{2}{3}}\)

We can now calculate the limit (noting that what is inside the square brackets is the definition of e with n = \(\bf{-\tfrac{3}{2}x}\)):

\(\displaystyle L = \left[ \lim_{x \to \infty}{\left( 1 + \frac{1}{-\frac{3}{2}x} \right)^{-\frac{3}{2}x} \right]^{-\frac{2}{3}} = e^{-\frac{2}{3}} = \frac{1}{e^{2/3}} = \frac{1}{\sqrt[3]{e^2}}\)

The two inequalities that define the shaded region in the diagram are:

y ≥ 4 and y < x

For the solid vertical line, the slope (m) is 0. The inequality sign we would use would be "≥"  because the shaded region is to the left and the boundary line is solid.

The y-intercept is at 4, therefore, substitute m = 0 and b = 4 into y ≥ mx + b:

y ≥ 0(x) + 4

y ≥ 4

For the dashed line:

m = change in y / change in x = 1/1 = 1

b = 0

the inequality sign to use is: "<"

Substitute m = 1 and b = 0 into y < mx + b:

y < 1(x) + 0

y < x

Thus, the two inequalities are:

y ≥ 4 and y < x

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The command in Stata would be the most useful is reg when  you want to combine this with a dataset that reports how much each individual sleeps per week.

A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable. The data set includes values for each of the variables, such as the object's height and weight, for each set member. Data sets may also include a group of files or documents.

For data management, visualisation, statistics, and automated reporting, Stata is a general-purpose statistical software programme created by StataCorp. Researchers in a variety of disciplines, such as science, biomedicine, epidemiology, and sociology, use it.

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This condition ensures that the distribution is not too skewed and allows us to use the Z-score to calculate probabilities.

(a) When we have a large sample size, the sample mean, X, follows a normal distribution with mean μ and standard deviation σ/√n, where σ is the population standard deviation. However, since we usually do not know the population standard deviation, we estimate it using the sample standard deviation, s. In this case, we use the t-distribution with n-1 degrees of freedom to calculate the 2-score, which has a slightly wider distribution than the standard normal distribution. To adjust for this wider distribution, we divide by the standard error, which is s/√n, instead of the population standard deviation a.

(b) We do not need the Central Limit Theorem to find P(X <72) if our sample size is 9 because the distribution of X is already normal. This is because the sample size is not too small, and we know the population standard deviation, so we can use the Z-score to calculate the probability directly.

(c) In order to convert 2 to a chi-square random variable, we need the assumption that the population follows a normal distribution. Specifically, if we have a random sample of size n from a normal population, then the sample variance s2 follows a chi-square distribution with n-1 degrees of freedom.

(d) In the Central Limit Theorem for 1 Proportion, we need to check the success/failure condition to ensure that the sample proportion, p, follows a normal distribution. Specifically, if np ≥ 10 and n(1-p) ≥ 10, then the sample proportion follows a normal distribution with mean p and standard deviation √(p(1-p)/n). This condition ensures that the distribution is not too skewed and allows us to use the Z-score to calculate probabilities.

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Answer:

91678 milliliters

Step-by-step explanation:

hope this is helpful! stay safe, and have a blessed day! :)

Step-by-step explanation:

From the figure , assume that OAB is a right angle triangle and angle OAB is alpha

\(Slope = \tan( \alpha ) \)

\( = \frac{opposite \: side}{adjacent \: side} \)

\( = \frac{ - 3}{ - 1} \)

\( = 3\)

Answer:b 0.07

Step-by-step explanation:

Because I said so

Answer:

0.07

Step-by-step explanation:

I just took the quiz and got it right.

Hope this helps! ^^

The length of the second wire stretches when the same forces are applied to it is given by option A. 0.30 cm .

Length of the wire = 0.90cm

let us consider the concept of Young's modulus also known as the modulus of elasticity.

Young's modulus is a measure of the stiffness or rigidity of a material.

It quantifies how much a material deforms under a given force.

The equation for Young's modulus is as follows,

E = (F/A) / (ΔL/L)

Where,

E is Young's modulus

F is the applied force

A is the cross-sectional area of the wire

ΔL is the change in length of the wire

L is the original length of the wire

The first wire stretches by 0.90 cm

and the forces applied to both wires are the same,

Use this information to determine the Young's modulus of the material.

Let us assign some variables,

ΔL₁= 0.90 cm change in length for the first wire

L₁ = original length of the first wire

A₁ = cross-sectional area of the first wire

Since the forces applied to both wires are the same,

Assume that the stress force per unit area is the same for both wires. This implies,

(F/A₁) / (ΔL₁/L₁) = (F/A₂) / (ΔL₂/L₂)

The second wire has three times the diameter and three times the length of the first wire.

This means the cross-sectional area A₂ of the second wire will be nine times the cross-sectional area A₁ of the first wire.

Mathematically,

A₂ = 9A₁

Similarly, the length L₂ of the second wire is three times the length L₁ of the first wire,

L₂ = 3L₁

Substituting these values into our equation, we have,

(F/A₁) / (ΔL₁/L₁) = (F/(9A₁)) / (ΔL₂/(3L₁))

Simplifying further, we get,

⇒ 1 / (ΔL₁/L₁) = 1/9 / (ΔL₂/(3L₁))

⇒ L₁ /ΔL₁= 1/9 × 3L₁/ΔL₂

⇒ 1/ ΔL₁ = ( 3/9) ( 1 / ΔL₂)

Since ΔL₁ =0.90 cm  

Substitute these values and solve for ΔL₂,

⇒1/ 0.90 cm ₁ = ( 3/9) ( 1 / ΔL₂)

⇒ΔL₂ = (0.90 cm ) × (3/9)

⇒ΔL₂= 0.90 cm × (1/ 3)

⇒ΔL₂ = 0.30 cm

Therefore, the second wire stretches by option A. 0.30 cm  when the same forces are applied to it.

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The above question is incomplete, the complete question is:

A certain wire stretches 0.90 cm when outward forces with magnitude F are applied to each end. The same forces are applied to a wire of the same material but with three times the diameter and three times the length. The second wire stretches:

A. .3 cm

B. .1 cm

C. 2.7 cm

D. .9 cm

The answer closest to the margin of error is option b: 4.2%.

To determine the margin of error at the 95% confidence level for the proportion of likely voters who prefer the incumbent candidate, we can use the formula:

Margin of Error = (Z * √(p*(1-p))/√n)

Where:

Z is the Z-score corresponding to the desired confidence level (95% corresponds to approximately 1.96)

p is the proportion of voters who prefer the incumbent candidate (42% or 0.42)

n is the sample size (350)

Calculating the margin of error:

Margin of Error = (1.96 * √(0.42*(1-0.42))/√350)

Using a calculator, the closest value to the margin of error is approximately 4.2%. Therefore, the answer closest to the margin of error is option b: 4.2%.

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Answer:

(a)Yes

(b)5 seconds

Explanation:

Given the equation: h(t) = -3t² + 12t + 15

(a)To determine if the ball reaches a height of 16m, we find the maximum height of the cannon ball.

The maximum height occurs at the axis of symmetry.

First, we find the equation of symmetry.

We find h(2).

The ball reaches a height of 16 meters since its maximum height is 27 meters.

(b)The ball reaches the ground at the point when h(t)=0.

Since time cannot be negative, the ball hits the ground after 5 seconds.

Total 200 number of shots Carla took to goal 14 goals.

What is percentage means?

A number or ratio that can be expressed as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage therefore refers to a part per hundred. Per cent refers to one hundred percent.

Carla scored goals on 7% of the shots she took.

If she scored 14 goals. How many shots did she take.

Let's suppose she took x number of shots.

7% of the total number of shots  =  14

7% of x  = 14

7*x/100  = 14

7*x = 14*100

x = 200.

So Total 200 number of shots Carla took to goal 14 goals.

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Answer:

(PE) (MD) (AS)

applies to all if you must multiply or divide at the same time do the left side first

In step 3, it is supposed to be 12 + 9 · 2, not 36 ÷ 12 · 2. (Not supposed to add 3 and 9. Do 36 ÷ 3 instead  (order of operations))

Answer:

7x=5x/67

Step-by-step explanation:

a.) The type of distribution that is represented by the histogram is a left skewed histogram.

b.) The type of sampling this will represent is a simple random sampling.

A left skewed histogram can be defined as the type of distribution where by the tails is displayed towards the left of the histogram. This is represented in the histogram given in the diagram above.

A simple random sampling is defined as the type of sampling whereby every member of a population is given an equal chance to be selected. Since the information represented is the sample of an entire league, making another bigger league from it gives them all equal chance to be selected.

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Answer:

15x^6y^15

Other:

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  3/4÷ 2/3=   3/4*3/2= 9/8= mixed fraction 1  1/8 pounds.

Answer:

416 cm2

Step-by-step explanation:

The formula for surface area of prism.

2Ab+ Pb*h

2(1/2)(12)(8)+ 32*10

= 96+320

= 416 cm2

if my answer helps please mark as brainliest.

The probability of surviving for 3 years will be 54.8.

What is Probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given:

one hundred eighty patients were treated for disease x from 2007 to 2009.

The probability of surviving for 3 years=P 2007*P 2009*P 2010.

According to given information,

The probability of surviving for 3 years will be 54.8.

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it would take approximately 2,749 hours for a rocket traveling at 3.35×10⁴ kilometers per hour to travel from Earth to Mercury.

what is approximately ?

Approximately means "about" or "roughly". It is used to indicate that a number or value is not exact, but rather an estimate or approximation. When a value is given as approximately a certain number

In the given question,

To calculate the time it would take a rocket traveling at 3.35×10⁴ kilometers per hour to travel from Earth to Mercury, we need to divide the distance between Earth and Mercury by the speed of the rocket:

Time = Distance / Speed

Distance = 9.21×10⁷kilometers

Speed = 3.35×10⁴ kilometers per hour

Time = 9.21×10⁷ km / (3.35×10⁴ km/h)

Time = 2,748.66 hours

Rounding this value to the nearest whole number of hours gives:

Time = 2,749 hours

Therefore, it would take approximately 2,749 hours for a rocket traveling at 3.35×10⁴ kilometers per hour to travel from Earth to Mercury.

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Based on the Pareto analysis, the set of brands which contributes most to the profit , i.e., about 80% is Adidas , Hyperlite ,mongoose , Schwinn and aquaronotman.

Pareto analysis is based on the idea that 80% of a project's benefit can be achieved by doing 20% of the work . In bigger business firms it is taken as a powerful tool for quality maintenance and decision-making .We can say that ,it is a method used for getting the required facts and information needed for setting priorities.

Thus , we can say that it is a technique used in business decision-making, but it also be used in welfare economics . It is based on the "80-20 rule." Pareto analysis, as a decision-making technique, statistically distinguishes a small number of input factors , either good or undesirable that have the largest impact on an output.

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