jimmy reads an article with 9,720 words in 45 minutes. about how many words does he read per minute?​

Answer:

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Step-by-step explanation:

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Work Shown:

C = 2*pi*r

C = 2*3.14*9.7

C = 60.916

This value is approximate since pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate circumference. The circumference is the distance around the circle, aka the perimeter.

Answer:

60.916

(rounded to the two nearest decimals = 60.92, and to the first decimal = 60.9)

Step-by-step explanation:

Circumference formula: 2πr  

π being pi and r being radius

Fill in your variables: 2(3.14)(9.7)   or 2 x 3.14 x 9.7

use your calculator or simply solve it and you end up with 60.916.

I hope this helped :)

Answer:

slope = 4

y intercept = -3

Step-by-step explanation:

The equation is put in slope intercept form

Slope intercept form: y = mx + b

where m = slope and b = y intercept

looking at slope intercept form

4 is located where m should be , meaning that the slope is equal to 4 and

-3 is located where b should be , meaning that the y intercept is -3

Therefore the answers are the first and last option choices.

Answer:

y=-4 and y=-8

Step-by-step explanation:

When you have an absolute value around something, you can remove it, expect it's like a square root, it's going to be a \(\pm\). Because 6+y could've been -2 and the absolute value just made it positive 2

So set 6+y equal to -2 and 2 to find the two solutions:

6+y = 2

y = -4

6+y = -2

y = -8

Hey there!

YOUR EQUATION: |6 + y| = 2

CONVERT THAT TO:

y + 6 = 2 OR y + 6 = -2

FIRST let’s solve for: y + 6 = 2

y + 6 = 2

SUBTRACT 6 to BOTH SIDES

y = 6 - 6 = 2 - 6

SIMPLIFY THAT!

y = 2 - 6

y = -4

Possible solution #1: y = -4

LASTLY let’s solve for: y + 6 = -2

y + 6 = -2
SUBTRACT 6 to BOTH SIDES

y + 6 - 6 = -2 - 6

SIMPLIFY THAT AS WELL!

y = -2 - 6

y = -8

Possible solution #2. y = -8

Therefore, your answer should be:

y = -4 or y = -8

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The triple integral of x²y²z² over the given limits is evaluated by integrating with respect to x, y, and z is -243.

Firstly, we integrate x² from π to 0, which gives -8/3. Then, we integrate y² from 0 to 3, which gives 27/3. Finally, we integrate z² from 0 to 3, which gives 27/3. Multiplying all the values together, we get the final answer of -243. Therefore, the value of the given triple integral is -243.

In order to evaluate a triple integral, we must integrate the given function over three variables with respect to their limits of integration. In this case, we are integrating x²y²z² over the limits 0≤x≤2, 0≤y≤3, and 0≤z≤3. We start by integrating with respect to x, then y, and finally z, using the limits given.

Each integral gives us a value which is then multiplied together to get the final answer. It is important to follow the order of integration correctly, and to keep track of the limits for each variable. In this way, we can evaluate the triple integral and find the value of the given function over the given region of integration.

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Solution is in da attachment!! :D

The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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Answer:

31.5 minutes

Step-by-step explanation:

45x35=1575

1575/50=31.5

l'exercice 3 est la boisson d'Andres. Je suis désolé si cela ne ressemble pas vraiment à un français parfait, je parle anglais et j'utilise Translate. passe une bonne journée!

Answer:

9 miles

Step-by-step explanation:

The answer is 9 miles because if you divide 0.6 mile by 4 minutes, you will have an answer of 9 miles an hour, as 0.6x15=9. In a full hour, Mike would walk 9 miles.

Answer:

(f - g)(x) = -3x² + 5x - 3.

Domain: Interval notation: ( –∞, ∞)

              Inequality notation:  –∞ < x < ∞

Step-by-step explanation:

Given the subtraction of function operations, (f - g)(x) where: f(x) = 5x - 3, and g(x) = 3x²:

In order to perform the required subtraction between f(x) and g(x), we must subtract the value given in g(x) from f(x).

(f - g)(x) = 5x - 3 - 3x²

Rearrange terms in descending order of degree:  

(f - g)(x) = 5x - 3 - 3x² ⇒ -3x² + 5x - 3

Therefore, (f - g)(x) = -3x² + 5x - 3.

Next, the given prompt requires to find the domain of the result. If you observe its graph, then you'll see that the graph progressively widens toward the negative infinity (–∞).   Since the resulting function operations is a downward-facing quadratic function, then it means that its domain values are all real numbers, as there are no domain constraints or undefined points on the graph.

Therefore, the domain of the function, (f - g)(x) = -3x² + 5x - 3 is the set of all real numbers that are common to both f(x) and g(x).

⇒  Interval notation: ( –∞, ∞)

⇒  Inequality notation:  –∞ < x < ∞

The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

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There are four levels of measurements in statistics, namely nominal, ordinal, interval, ratio. These levels are important when it comes to analyzing data, since it helps us determine the technique that we can use to support or refute our study.

In the nominal level, we can categorize data but they cannot be ranked. An example would be hair color. In an ordinal data, the data can be both categorize and ranked, but doing mathematical calculation may not make sense. Also, the intervals between rankings doesn't necessarily dictate how close or far apart the data are.

A good example is level of education. In an interval level, the data can be categorized, ranked, and measured but they do not have a true zero. An example could be a range of values that does not include zero. Lastly, in the Ratio level the data can be categorized, rank, and measured, and it has a true zero.

So ratio level is most appropriate for ages of children. Note that ages can be categorized, rank, and measured .Moreover, an age equal to zero means that there is no age or the absence of age.  

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Answer:

5 inches

Step-by-step explanation:

Hello!

The volume of a cube is simply the side length cubed, or the side lengthed multiplied by itself 3 times.

So, to find the edge, we can find the cube root of 125 to find that measure.

The edge is 5 inches.

Answer:83999955 because of the gravity

Step-by-step explanation:

The two most commonly used measures of variability are variance and standard deviation.

1. Variance: Variance measures how spread out a set of data points is from the mean. It calculates the average of the squared differences between each data point and the mean. The formula for variance is sum of squared differences divided by the number of data points.

Example: Let's say we have a set of data points: 2, 4, 6, 8, and 10. The mean of these data points is 6. The differences between each data point and the mean are: -4, -2, 0, 2, and 4. Squaring these differences gives us: 16, 4, 0, 4, and 16. The sum of these squared differences is 40. Dividing this sum by the number of data points (5) gives us a variance of 8.

2. Standard Deviation: Standard deviation is the square root of variance. It measures the average distance between each data point and the mean. Standard deviation is often preferred over variance because it is in the same unit as the data points, making it easier to interpret.

Example: Using the same set of data points as above, the variance is 8. Taking the square root of 8 gives us a standard deviation of approximately 2.83.

In summary, variance measures how spread out the data points are from the mean, while standard deviation gives us a more intuitive understanding of the variability by providing a measure in the same unit as the data points. These measures help us understand how the data is distributed and how much it deviates from the average.

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Answer:

The answer is A.

Step-by-step explanation:

First, you have to solve the inequality :

\(4 - 3x < - 2\)

\( - 3x < - 2 - 4\)

\( - 3x < - 6\)

\(x > - 6 \div - 3\)

\(x > 2\)

Therefore, x > 2, so only option A is suitable for the x values.

Answer:

a.) 81.2%

Step-by-step explanation:

Since the probability of picking a yellow balloon is 18.8 %, the complementary event is just 1 (or 100%) -18.8%, or 81.2%.

Answer:

Step-by-step explanation:

5x - 4(2x - 5) = -10

5x - 8x + 20 = -10

-3x = -30

x = 10

y = 2(10) - 5 = 20 - 5 = 15

(10, 15)

Evaluating all possible values of a variable in a model is called a sensitivity analysis.

A sensitivity analysis is a technique used to assess the impact of changes in the values of input variables on the output or outcome of a model or system. It involves systematically varying the values of the variables within a defined range and observing the corresponding changes in the model's output.

The purpose of a sensitivity analysis is to understand how sensitive the model is to changes in the input variables and to identify which variables have the most significant influence on the model's results.

During a sensitivity analysis, different scenarios are created by varying one or more input variables while keeping others constant. By examining the resulting changes in the model's output, analysts can gain insights into the relationships and dependencies between the variables and assess the robustness of the model's predictions or decisions.

Sensitivity analysis helps in understanding the potential risks, uncertainties, and limitations associated with the model, and can aid in decision-making and improving the model's performance by identifying critical variables that need to be carefully monitored or controlled.

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The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.

Clark Property Management should expect to experience some consecutive years with higher compressor failure rates.

Let X represent the number of AC compressor failures. Thus, the probability distribution of X is as follows :

Number of Compressor Failures Probability (Relative Frequency)

0 0.061 0.132 0.253 0.284 0.205 0.076 0.01.

We will select two-digit random numbers from a table of random numbers. We will simulate 20 years of compressor failure.

As a result, there will be a total of 20 values of X, each representing a year's worth of data.

We may now determine whether it is typical to have three or more consecutive years with two or fewer compressor failures per year.

The Monte Carlo simulation is used to complete this task. We may use an online random number generator if a table of random numbers is not available.

Monte Carlo simulation is a statistical modeling method that employs random sampling techniques to simulate the output of a complicated system.

It is a stochastic modeling technique that allows for uncertainty and risk evaluation in complex systems where deterministic methods are insufficient.

Monte Carlo simulation generates random input values for a system with a mathematical model, allowing it to calculate possible outcomes.

These results are then used to generate probability distributions of potential results.

In essence, the Monte Carlo simulation is an experiment conducted on a computer that provides insight into the degree of risk related to decision-making.

1. Set up a model: Determine the system and create a mathematical model that will be utilized in the Monte Carlo simulation.

2. Define input values: Identify the variables that will affect the model's output and define input probability distributions for each.

3. Generate random numbers: Using the input probability distributions, generate random numbers for each variable

4. Run simulations: Run a large number of simulations using the random numbers generated in step 3.

5. Analyze the results: Using the outputs of the Monte Carlo simulation, estimate potential outcomes and the likelihood of different results.

6. Make decisions: Use the data and insights obtained from the Monte Carlo simulation to inform your decision-making.

After conducting the Monte Carlo simulation, it was determined that it is unusual to have three or more consecutive years with two or fewer compressor failures per year.

The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.

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The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.

The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.

In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.

The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5

where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4

The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33

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Answer:

9

Step-by-step explanation:

11×9=99

Only 1p remaining which is not enough for another sweet.

So it is 9

Please give brainliest and thank me if it helped.

it is G = 11

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

9x−5

x=8

9(8)−5

72−5

=67

Answer:

-10, 5 -3, 6

Step-by-step explanation:

The given expression \(\rm 12x^2-13x+3\)equivalent to (3x - 1)(4x - 3) option second is correct.

A quadratic expression is a second-degree algebraic expression represented by the:

\(\rm f(x)=ax^2+bx+c\) ........(1)

Where a, b, and c are the constants and  

We have the quadratic expression:

\(\rm f(x)=12x^2-13x+3\)

\(\rm f(x)=12x^2-9x-4x+3\)  (we can write -13x as a sum of -9x and -4x)

After taking common term, we get:

\(\rm f(x)=3x(4x-3)-(4x-3)\)

\(\rm f(x)=(4x-3)(3x-1)\)  or

\(\rm f(x)=(3x-1)(4x-3)\)

Thus, the given expression \(\rm 12x^2-13x+3\)  is equivalent to (3x - 1)(4x - 3).

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Answer: 20/9

or 2 2/9

Step-by-step explanation:

Therefore, the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM is approximately 0.1755, rounded to four decimal places.

To calculate the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM, we need to use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space. In this case, the mean (λ) is given as 5. The formula for the Poisson distribution is:

P(X = k) = (e*(-λ) * λ\(^k\)) / k!

Where:

P(X = k) is the probability of getting exactly k calls

e is the base of the natural logarithm (approximately 2.71828)

λ is the mean number of calls (given as 5)

k is the number of calls (in this case, 4)

k! is the factorial of k

Let's calculate the probability using the formula:

P(X = 4) = (e*(-5) * 5⁴) / 4!

P(X = 4) ≈ 0.1755

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