Part E What is the probability the client E, the 68-year-old you’re considering for a 10-year policy, lives to be 78 years old? Remember that client E is a non-Hispanic black male.

The current in the circuit with the given parameters is -cos(120πt) + 1.

To find the current in the circuit with an applied voltage Vm = 120 Volts, frequency f = 60 Hz (ω = 2πf), inductance L = 10 Henry, and resistance R = 100 Ohms, we can substitute these values into the given equation for the current.

The integral for the current is given by:

i(t) = ∫[0 to t] Vm e^(-R/L)t sin(ωt) e^(R/L)t dt

Substituting the given values:

i(t) = ∫[0 to t] 120 e^(-100/10)t sin(2π(60)t) e^(100/10)t dt

Simplifying:

i(t) = ∫[0 to t] 120 e^(-10t) sin(120πt) e^10t dt

The term e^(-10t) and e^10t cancel each other out, leaving:

i(t) = ∫[0 to t] 120 sin(120πt) dt

Now, let's integrate:

i(t) = -120/120π cos(120πt) | [0 to t]

Simplifying further:

i(t) = -cos(120πt) | [0 to t]

To evaluate the integral at the upper and lower limits:

i(t) = -cos(120πt) - (-cos(0))

Since cos(0) = 1, we have:

i(t) = -cos(120πt) + 1

Now, let's substitute the given values of Vm = 120 Volts, frequency f = 60 Hz (ω = 2πf), inductance L = 10 Henry, and resistance R = 100 Ohms:

i(t) = -cos(120πt) + 1

Therefore, the current in the circuit with the given parameters is -cos(120πt) + 1.

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The number of favorable outcomes for events A and B would be: (1,2,3,4)

The sample space that is used to determine the probability of A given B is  (2, 4.6)

The probability for event A and B occurring would be: 1/6

The probability of event A given event B will be 2/3

The sample space refers to the collection of all the outcomes that can be expected from a set of randome experiments. Probability refers to the number of favorable outcomes divided by the number of tottal outcocmes.

From the data given, the probability of getting an even number and a number less than 5 will be 5/6 amd this is in the same ratio as 2/3. The probability of event A and B occurring will be 1/6.

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A sample statistic is is any quantity from the sample of a population.

We can see in the last option, that from the population (total of subjects of study) Kaisa, selected 84 of the total students. This fits in to the definition of sample statistic.

Thus, the correct option is the last one.

Answer:

the answer is (d) between -2 and -1.

Step-by-step explanation:

To find the real zeros of f(x) = x³ - 2, we need to solve the equation f(x) = 0.

x³ - 2 = 0

x³ = 2

Taking the cube root of both sides, we get:

x = ∛2

Since ∛2 is irrational, it cannot be written exactly as a fraction or decimal. However, we can approximate it to any desired degree of accuracy using numerical methods.

Since ∛2 is positive, it follows that the real zeros of f(x) are located between -2 and -1, since f(x) is negative for x < -2, and f(x) is positive for x > -1. Therefore, the answer is (d) between -2 and -1.

Answer:

i think its 0.43 but im not sure i hope this helps

Step-by-step explanation:

Answer:13/29

Step-by-step explanation:

\text{Fill out totals:}

Fill out totals:

Has a brother Does not have a brother Total

Has a sister 7 14 21

Does not have a sister 6 2 8

Total 13 16 29

\text{Number of students with a brother: 13}

Number of students with a brother: 13

\text{Number of students in the class: 29}

Number of students in the class: 29

\text{Probability: }\frac{13}{29}

Probability:  

29

13

​

The probability of drawing a queen and then any face card is 7%. To understand this, let's examine the odds. There are 4 queens in a standard 52-card deck, so the odds of selecting a queen on the first draw are 4/52, or 7.7%.

To illustrate, if you were to draw a queen on the first draw, it would reduce the number of queens remaining in the deck to three. When you place the queen back in the deck and shuffle, the odds of selecting a queen on the second draw are now 3/51, or 5.9%. This means that the probability of selecting any face card on the second draw is 94.1% (100 - 5.9% = 94.1%).

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Answer:

2%

Step-by-step explanation:

Got it right on the test.

The value of the given monomial, -8\(m^{4}n^{4}\), when m = 0.5 and n = 2 is -8.

According to the question,

We have the following monomial:

-8\(m^{4} n^{4}\)

We have m = 0.5 and n = 2.

Now, putting these values of m and n in the monomial:

-8 \((0.5)^{4} (2)^{4}\)

(Please note that when a power is there on a number then it means that to solve the expression we have to multiply the base as many times as the given power. For example, in this case, we will multiply 2 four times and the result will be 16. This concept is applicable to every expression we are solving whether the base is in decimal or in fraction or a integer.)

-8*0.0625*16

-128*0.0625

-8

Hence, the value of the given monomial is -8.

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Answer:

Triangle:

- triangle-sticky notes yung triangle shape

- toblerone candy

Quadrilateral:

-quadrilateral-book

-box

-frame

Step-by-step explanation:

hope it helps u and may I get brainliest

Answer:

Sandwich.

A Slice of Pizza.

Road sign.

An Arrow.

Triangular Ruler.

Zelda Triforce Symbol.

Triangular Ruler.

Step-by-step explanation:

Answer:

0.6819

Step-by-step explanation:

The value of sin 43° to the nearest ten-thousandth will be 0.682

The steps are as follow:

So, the  value of sin 43° to the nearest ten-thousandth will be 0.682

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Instead of developing the geometry, some examples of creating the workpart geometry during machining include:

Contour turning:

Profile milling:

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Answer:

On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.

Step-by-step explanation:

y = mx + b

b is the y-intercept

m is the slope

(y = 2x + 4: 2 is slope, 4 is y-int)

Answer:

It is D

Step-by-step explanation:

Answer:

The probability is 0.1312

Step-by-step explanation:

Here, let us set up a binomial system

From the question, 54% ride a bike

Let p = people that rides a bike

54% = 54/100 = 0.54

p = 0.54

q = 1 - p = 1 -0.54 = 0.46 ( 46% do not ride bikes)

Now, for the binomial system, we have

P(X = 15) = 30 C 15 • p^15•q^15

We have;

30 C 15 * 0.54^15 * 0.46^15

= 0.131200268998

The probability is 0.1312

Answer:

54 and 36

Step-by-step explanation:

when we add 54 and 36 we get 90 and when we subtract 54 from 36 we get the difference 18

Answer:

54 and 36

explanation

a) The point estimate of the population mean for bilirubin level is 5.98 mg/100cc.

b) The 95 percent confidence interval for the population mean bilirubin level in 4-day-old infants is (4.27, 7.69) mg/100cc.

c) The 95 percent confidence interval for the population mean bilirubin level in 4-day-old infants, considering the updated standard deviation, is (4.56, 7.40) mg/100cc.

(a) The point estimate of the population mean for bilirubin level is 5.98 mg/100cc.

(b) To construct a 95 percent confidence interval for the population mean, we can use the formula.

Confidence Interval = point estimate ± (critical value) * (standard deviation / √(sample size))

The critical value for a 95 percent confidence interval is 1.96 (assuming a normal distribution). The standard deviation given is 3.5 mg/100cc, and the sample size is 16.

Confidence Interval = 5.98 ± (1.96) * (3.5 / √(16))

Calculating the values:

Confidence Interval = 5.98 ± 1.96 * 3.5 / 4

Confidence Interval = 5.98 ± 1.96 * 0.875

Confidence Interval = 5.98 ± 1.71

Confidence Interval = (4.27, 7.69)

The 95 percent confidence interval for the population mean bilirubin level in 4-day-old infants is (4.27, 7.69) mg/100cc.

The probabilistic interpretation of this confidence interval is that if we were to repeatedly sample 4-day-old infants from the population and calculate the confidence interval each time, approximately 95 percent of the intervals would contain the true population mean bilirubin level.

(c) Using the updated standard deviation of 2.9 mg/100cc from the sample of 16 infants, we can calculate the confidence interval again.

Confidence Interval = 5.98 ± 1.96 * (2.9 / √(16))

Confidence Interval = 5.98 ± 1.96 * 2.9 / 4

Confidence Interval = 5.98 ± 1.96 * 0.725

Confidence Interval = 5.98 ± 1.42

Confidence Interval = (4.56, 7.40)

The 95 percent confidence interval for the population mean bilirubin level in 4-day-old infants, considering the updated standard deviation, is (4.56, 7.40) mg/100cc.

Comparing the two confidence intervals, we can see that the second interval is slightly narrower than the first one. This is due to the smaller standard deviation used in the calculation, which results in a more precise estimate of the population mean.

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Answer:

60°

Step-by-step explanation:

x = 1/2(240-120) = 60

Answer:60 degrees

Step-by-step explanation:

Answer:

english please?

Step-by-step explanation:

Answer:

english pls

Step-by-step explanation:

Answer:

the answer is 7,184.47

Step-by-step explanation:

Answer:

1/5 is biggest fraction

Step-by-step explanation:

1/5 = 0.2

1/10 =0.1

⅕ > ⅒

The biggest fraction in between 1/5 and 1/10 is 1/5.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

We have the fractions:

1/5 and 1/10.

To find the biggest fraction:

Here, 1 is the numerator in both of the fractions.

So, 10 and 5 are the denominators.

And 5 < 10

That means, 1 is separated in 5 parts and 10 parts.

1/5 = 0.2

And 1/10 = 0.1

0.2 > 0.1

Therefore, the fraction 1/5 is bigger than 1/10.

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Answer:

3

Step-by-step explanation:

because 3 i less than 4

The perimeter of  the image is 13.83 units.

X(3, 18) → X’(1, 6)

Y(18, 18) → Y’(6, 6)

Z(18, 9) → Z’(6, 3)

Thus, if the pre - image has a perimeter of 41.49, then the perimeter of the image will be; 1/3 × 41.49 = 13.83 units

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The median is the middle value when an odd number of data values are arranged in order.

The median is an important concept in statistics that helps to describe the central tendency of a dataset. When dealing with an odd number of data values, finding the median is straightforward. First, you need to arrange the values in either ascending or descending order. Once the data is ordered, the middle value is the median. For example, if you have the following dataset: 1, 3, 5, 7, 9. The median is the middle value, which in this case is 5. It is important to note that the median is not affected by extreme values or outliers. It is a reliable measure that represents the central value in a dataset.

In summary, when an odd number of data values are arranged in order, the middle value is known as the median. It is a measure of central tendency that helps to describe the middle value in a dataset.

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The residual standard error is a useful measure of the precision and accuracy of a regression model's predictions, and it helps to assess the goodness of fit of the model.

The measure that indicates how precise a prediction of y is based on x or how inaccurate the prediction might be is called the residual standard error (RSE).

RSE is a measure of the variation or dispersion of the errors (or residuals) in a regression model. It is calculated by taking the square root of the sum of the squared residuals divided by the degrees of freedom.

The RSE provides an estimate of the standard deviation of the errors, and it is expressed in the same units as the response variable y.

In other words, the RSE measures the average distance that the observed values deviate from the predicted values in the regression model.

A smaller RSE indicates that the model is better at predicting the response variable, while a larger RSE indicates that the model has higher prediction error and may not be as accurate.

In summary, the residual standard error is a useful measure of the precision and accuracy of a regression model's predictions, and it helps to assess the goodness of fit of the model.

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The measure that indicates how precise a prediction of y is based on x, or conversely, how inaccurate the prediction might be, is called the residual standard error (RSE). The RSE is a measure of the average distance that the observed values fall from the predicted values, and it is typically expressed in the same units as the response variable (y). A smaller RSE indicates a better fit of the model to the data, and a larger RSE indicates a poorer fit.

a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.

a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:

Future Value = Present Value * (1 + interest rate)ⁿ

Where:

Future Value = $40,000

Present Value = $25,000

Interest rate = 12% = 0.12

n = number of years

Substituting the given values into the formula, we have:

$40,000 = $25,000 * (1 + 0.12)ⁿ

Dividing both sides of the equation by $25,000, we get:

(1 + 0.12)ⁿ = 40,000 / 25,000

(1.12)ⁿ = 1.6

To solve for n, we can take the logarithm of both sides of the equation:

n * log(1.12) = log(1.6)

Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:

n * 0.0492 = 0.2041

n = 0.2041 / 0.0492 ≈ 4.15

b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:

Future Value = Present Value * (1 + interest rate)ⁿ

$40,000 = $25,000 * (1 + interest rate)³

Dividing both sides of the equation by $25,000, we have:

(1 + interest rate)³ = 40,000 / 25,000

(1 + interest rate)³ = 1.6

Taking the cube root of both sides of the equation:

1 + interest rate = ∛1.6

Subtracting 1 from both sides, we get:

interest rate = ∛1.6 - 1

Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:

interest rate = 1.126 - 1 ≈ 0.126

To express the interest rate as a percentage, we multiply by 100:

interest rate = 0.126 * 100 = 12.6%

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Answer:

A

Step-by-step explanation:

w has to be lower so we would use

<

since 2000 has to be higher

W < 2000

Answer:

Step-by-step explanation:

-7x + 4 + 3x

-4x + 4

3x + 5x + 8

8x + 8

4x + 4x + 4x + 4x

4x * 4

16x

4x + 4x

8x

The sampling type in this scenario would be systematic sampling. This method involves selecting every nth individual from a population to form the sample.

In this case, every 10th person from the phonebook is chosen, which follows the systematic sampling approach.

The sampling type would be systematic sampling.

Systematic sampling involves selecting every nth individual from a population. In this case, every 10th person from the phonebook is chosen, making it a systematic sampling method. This approach ensures that the sample is representative of the entire population, as it provides an equal chance for each individual to be selected.

Systematic sampling is a method used to select a sample from a population. It involves selecting every nth individual from the population, where n is a predetermined number. In this case, the sampling type would be systematic sampling, as every 10th person from the phonebook is chosen.

This method is commonly used when there is a list of individuals or items that can be ordered in some way. By selecting individuals at regular intervals, systematic sampling aims to ensure that the sample is representative of the entire population. This sampling approach provides an equal chance for each individual to be selected, reducing the risk of bias and increasing the reliability of the results.

The sampling type used, if the subjects were picked by selecting every 10th person out of a phonebook, is systematic sampling.

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Answer:

C. 84%

Step-by-step explanation:

If the mean male height is 70.8 inches (5 feet 10.8 inches)

and 6 feet falls within one deviation of the mean.

Through a normal distribution curve about 85 percent of men would be able to fit through the door

The other closest answer would be 65%, but this is incorrect as it only accounts for the men who fall under 1 standard deviation away from the mean, while all the men who are on the short outlier side would still be able to fit through the door.

Answer:

MONKE

Step-by-step explanation:

MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE MONKE

-BOB THE MF BUILDER WAS HERE

By solving a quadratic equation we can see that the width of the path measures 20 meters.

We know that the pool measures 18 meters by 20 meters, then the area of the pool alone is:

A = 18m*20m = 360 m^2

Now, if the path has a width x, then the rectangle that includes the path and the pool has dimensions:

(18m + 2x) and (20m + 2x)

And its area is given by:

(18m + 2x)*(20m + 2x)

And we know it is equal to 1520 m^2, then (i'm not writting the units in the computation):

(18 + 2x)*(20 + 2x) = 1520

360 + 4x^2 + 76x = 1520

Now we just need to solve that quadratic equation:

4x^2 + 76x - 1520 + 360 = 0

4x^2 + 76x - 1160 = 0

The solutions are:

x = (-76 ± √(76^2 - 4*4*(-1160))/(2*4)

x = (-76 ± 156)/4

We only care for the positive solution, which gives:

x = (-76 + 156)/4 = 20

We conclude that the width of the path measures 20 meters.

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