Working With Taylor Series (Homework) Progress saved Done VO Score: 4.25/15 4/15 answered Question 8 < > 0.25/1 pt 2-3 98 Details Score on last try: 0.25 of 1 pts. See Details for more. > Next question Get a similar question You can retry this question below Use the appropriate substitutions to write down the first four nonzero terms of the Maclaurin series for the binomial: (1+ The first nonzero term is: 1 The second nonzero term is: The third nonzero term is: The fourth nonzero term is:

Answer:

Step-by-step explanation:

5.33

Answer:

7 17/99

Step-by-step explanation:

Answer:

Yupll have to use a calculator to get the answer for this type of question

Answer:

Step-by-step explanation:

It's A. There are 200 animals, and the cost is $12,000 daily; x=2 and y=12, but the x value is in hundreds and the y value is in thousands.

a) The campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories.

b) A Chi-Square goodness of fit test.

a) A campaign manager would like to show that the distribution of individuals within several social economic categories is different than what a newspaper reported and that's why we know that the campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories.

Chi-Square goodness of fit is used to find out how the observed value of a given phenomenon is significantly different from the expected value. In Chi-Square goodness of fit test, the sample data is divided into intervals.

In this case, we have one categorical variable which is the distribution of individuals within several social groups. We want to see if the actual distribution of the variable is significantly different from the distribution within several social groups as claimed(expected) by the newspaper.

Hence, we will use chi-square goodness of fit test for this case.

b) A Chi-Square goodness of fit test.

Here the variable is the distribution of individuals purchasing season pass at an amusement park. The variable has 4 categories based on the age group of the individuals.

A tourist company wants to test the actual distribution of individuals within each age group and wants to check if it is significantly different from the expected distribution i.e the one claimed by the amusement park.

The tourist company randomly sampled 200 individuals entering the park.

The proportion of individuals within each group as claimed by the amusement park is given.

Hence, we will use chi-square goodness of fit test to test if the actual distribution within each group is significantly different or not from the claimed distribution.

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Answer:

2m-17

Step-by-step explanation:

-20+1/4(8m+12)

-20+2m+3

2m-20+3

2m-17

the answer is -20+ (8m+12/4)

Answer:

Step-by-step explanation:

Tens     Units/Ones   Decimal Pt.  Tenths   Hundredths

    1                7                    .                9                2

Answer:

37.7 inches

Step-by-step explanation:

u have the formula so with r being radius just multiply by 2 then multiply that answer by pie and round to the nearest tenth.

The angle RCS is the linear pair of the ∠55°. The measure of ∠RCS is thus found to be 125°.

An adjacent pair of additional angles is known as a linear pair. Adjacent refers to being next to one another, and supplemental denotes that the sum of the two angles is 180 degrees.

As SQ is the straight line, the sum of all angles on it will be 180 degrees.

∠RCS +  55 = 180

∠RCS = 180 - 55

∠RCS = 125°

Thus, the angle RCS is the linear pair of the ∠55°. The measure of ∠RCS is thus found to be 125°.

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The expected value of m is the mean of the distribution of sample means. The correct option for the question is c) it is the mean of the distribution of sample means.

The expected value, also known as the mean or expectation, is a measure of the central tendency of a random variable. In other words, it refers to the theoretical mean of the distribution of a random variable. It is obtained by multiplying each possible outcome of a random variable by its probability of occurrence and then summing up all the products. The result is the expected value.

A sample mean is the arithmetic mean of a random sample of n observations drawn from a population. It is an unbiased estimate of the population mean. It is calculated by adding up all the observations in the sample and then dividing the sum by the sample size.

Sample standard deviation, also known as s, is a measure of the variability or dispersion of a random sample. It is the square root of the variance of the sample. It is calculated by taking the square root of the sum of the squared deviations from the sample mean divided by the sample size minus 1.

Therefore, option a) and option b) are incorrect as the expected value of m is not the sample mean or sample standard deviation. Option d) is also incorrect as the expected value of m is not the standard deviation of the distribution of sample means.

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A simulation game attempts to copy various activities from real life in the form of a game for various purposes such as training, analysis, prediction, or entertainment.

The most suspicious set of outcomes for a simulated game of chess that is supposed to be biased in favor of player B winning 4 out of 5 times would be if player B won all 30 games. This outcome would be highly unlikely if the game was truly random and the bias towards player B was accurate. Other suspicious outcomes could include player B winning 29 out of 30 games or player B winning 28 out of 30 games with a high margin of victory in each game.

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Yes, it is valid to use the Central Limit Theorem (CLT) to describe the sampling distribution of the sample mean, even for a random sample of five households. Although a sample size of five is relatively small, the CLT still applies as long as the sample is random and independent.

  The Central Limit Theorem is a fundamental concept in statistics that states that, under certain conditions, the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

While a sample size of five may be considered small, the CLT still holds for this case. The key consideration is that the sample is selected randomly and each observation is independent of the others. As long as these conditions are met, the CLT can be applied, even for small sample sizes.

In practice, larger sample sizes are generally preferred to ensure better approximation to the normal distribution. However, the CLT provides a theoretical foundation for the validity of using the normal distribution as an approximation for the sampling distribution of the sample mean, even with relatively small sample sizes like five households.

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Answer:

5t is the answer

Answer:

t=0/5

Step-by-step explanation:

8t-3t

5t=0

t=0/5

if this is reight plz mark me brainlists plz and plz

Answer:

75 degrees

Step-by-step explanation:

m < 4 = 40

m < 3 = 65

m < 3 = m < 5 (alternate interior angles)

m < 2 = 180 - (m < 4 + m < 5)

m < 2 = 180 - (40 + 65)

m < 2 = 180 - 105

m < 2 = 75

Answer:

Step-by-step explanation:

∠BEF = ∠ABE   {Alternate interior angle}

∠BEF = 60

∠EQR = ∠ BEF         {Corresponding angles}

∠EQR = 60

In ΔEQR

∠QER + ∠EQR + ∠ERQ = 180 {angle sum property}

80 + 60 +x = 180

140 + x = 180

          x = 180- 140

x = 40

Answer:

384.12 cubic inches

Step-by-step explanation:

Length: 9 7/10 = 9.7 inches

Weight: 1 4/5 = 1 8/10 = 1.8 inches

Height: 22 inches

Volume of a rectangular prism: V = l*w*h

V = 9.7 * 1.8 * 22

V = 17.46 * 22

V = 384.12 cubic inches

Hope this helps!

Answer:

2 x 10^5

200,000 / 10 = 20,000

20,000 / 10 = 2,000

2,000 / 10 = 200

200 / 10 = 20

20 / 10 = 2

I divided 200,000 by 10 five times to get a number less than 10.

So, 5 is going to be the exponent.

Question Explanation:

In other words you can write 200,00 using a whole number and a power 10 using scientific notation!

In scientific notation you want a number less than 10 multiplied by 10 to the power of a number.

Solution:

200,000 / 10 = 20,000

20,000 / 10 = 2,000

2,000 / 10 = 200

200 / 10 = 20

20 / 10 = 2

I divided 200,000 by 10 five times to get a number less than 10.

So, 5 is going to be the exponent.

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

Answer:

2 x 10^5

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

Hope This Helped! Good Luck!

we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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Answer:4

Step-by-step

Step-by-step explanation:

This is a parallelogram, the parallel sides are congruent.

So we can write the following equation to find the value of k:

13k - 9 = 5k + 7

13k - 5k = 7 + 9

8k = 16

k = 2

Consecutive angles are supplementary, which means they add up to 180:

12j - 41 + 5j - 17 = 180

17j - 58 = 180

17j = 238

j = 14

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

To create opposite like terms of x variables, the first equation can be multiplied by 2 and the second equation by 3

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Given information-

The system of equation given in the problem is,

\(-3 x +2 y = 20\)

Let the above equation as the equation number 1.

The second equation given in the problem is,

\(2 x+ 11 y = -1\)

Let the above equation as the equation number 2.

As the coefficient of x is -3 in the first equation thus multiply the above equation by 3 to make opposite term as,

\(3\times2 x+3\times 11 y =3\times( -1)\\6x+33y=-3\)

Let the above equation is equation 3.

The first equation given in the problem is,

\(-3 x +2 y = 20\)

As the coefficient of y is 2 in the second equation thus multiply the above equation to make opposite wise term as,

\(2\times-3 x +2\times2 y = 2\times20\\-6x+4y=40\)

Let the above equation is equation 4.

Compare the equation 3 and 4, we get that both the equation has the equivalent system of equations with opposite like terms of x variables.

Hence, to create opposite like terms of x variables, the first equation can be multiplied by 2 and the second equation by 3

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Answer:

2, and 3

Step-by-step explanation:

i did the assignment

Answer:

x = 04

Step-by-step explanation:

7x-2(x-10)=40

7x-2x+20=40

5x=20

therefore x=20/5

that is 4

The given geometric series  \(\(\sum_{j=1}^{\infty} (3 - 2^j)\)\) diverges.

Let us explain in a detailed way:

The given series can be represented as:

\(\[ \sum_{j=1}^{\infty} (3 - 2^j) \]\)

To determine if the series converges or diverges, we need to check the absolute value of the common ratio. In this case, the common ratio is -2.

\(\[|r| = |-2| = 2 > 1\]\)

Since the absolute value of the common ratio is greater than 1, the series diverges.

A geometric series is a series in which each term is obtained by multiplying the previous term by a constant called the common ratio. It has the general form:

\(\[ \sum_{n=0}^{\infty} ar^n \]\)

where a is the first term and r is the common ratio.

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The variance for the sample is not valid. The variance is -352.98 and the standard deviation is 18.77 for sample (b), while for sample (c), the variance is -10.263 and the standard deviation is 3.20.

To calculate the variance and standard deviation, we need to use the formulas involving the sum of squares (SS) and the sample size (n).

(a) We have: n = 11, Σx = 88, Σx² = 22

The variance (σ²) is calculated as:

σ² = (Σx² - (Σx)²/n) / (n - 1)

Substituting the values into the formula:

σ² = (22 - (88)²/11) / (11 - 1)

   = (22 - 7744/11) / 10

   = (-7700/11) / 10

   = -700/11

   = -63.636

Since variance cannot be negative, the variance for this sample is not valid.

The standard deviation (σ) is the square root of the variance:

σ = √(-700/11)

  = √(-63.636)

  = √(63.636)i

  = 7.982i

(b) We have: n = 42, Σx = 385, Σx² = 90

Using the same formulas:

σ² = (Σx² - (Σx)²/n) / (n - 1)

   = (90 - (385)²/42) / (42 - 1)

   = (90 - 14822/42) / 41

   = (-14552/42) / 41

   = -352.98

The variance is -352.98.

σ = √(-352.98)

  = √(352.98)i

  = 18.77i

(c) We have: n = 20, Σx = 15, Σx² = 14

Using the same formulas:

σ² = (Σx² - (Σx)²/n) / (n - 1)

   = (14 - (15)²/20) / (20 - 1)

   = (14 - 225/20) / 19

   = (-195/20) / 19

   = -10.263

The variance is -10.263.

σ = √(-10.263)

  = √(10.263)i

  = 3.20i

In summary:

(a) The variance is not valid as it is negative.

(b) The variance is -352.98 and the standard deviation is 18.77.

(c) The variance is -10.263 and the standard deviation is 3.20.

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Mrs. Flips sold 240 large chocolate chips.

Mrs. Flips sold 60 small peanut butter cookies.

In order to write the required expressions that models the situation, we would assign variables to the number of large chocolate chips and the number of small peanut butter cookies, and then translate the word problem into algebraic equation as follows:

Since Mrs. Flips charged $1 for the chocolate chip and 50-cents for the peanut butter cookies and collected $270 total, an expression that models the situation is given by:

x + 0.5y = 270

Additionally, she sold a total of 300 cookies:

x + y = 300

270 - 0.5y + y = 300

0.5y = 30

y = 60 small peanut butter cookies.

x = 270 - 0.5(60)

x = 240 large chocolate chips.

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Answer: $8.50/pound

Step-by-step explanation:

Price per pound --> take the total price and divide it by the number of pounds

$22.10 / 2.6 pounds = $8.50/pound

Answer:

$8.50

Step-by-step explanation:

take 22.10 divide it by 2.6 and you will get your answer.

Hope this helps

The net change in the value of the function between x = 1 and x = 6 is 30.

To find the net change in the value of the function between the inputs of 1 and 6, we need to find the difference between the output values of the function at x = 1 and x = 6, and then take the absolute value of that difference.

First, we can find the output value of the function at x = 1:

f(1) = 6(1) - 5 = 1

Next, we can find the output value of the function at x = 6:

f(6) = 6(6) - 5 = 31

The net change in the value of the function between x = 1 and x = 6 is the absolute value of the difference between these two output values:

|f(6) - f(1)| = |31 - 1| = 30

Therefore, the net change in the value of the function between x = 1 and x = 6 is 30.

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The entire trip, including the journey from point A to point B to point C and the return from point C to the starting point, took approximately 77.1 minutes.

1. To calculate the total time of the trip, we need to determine the individual travel times for each leg of the journey and then sum them up.

2. First, we calculate the time taken for the trip from point A to point B to point C. The distance covered is the sum of the distances between each consecutive point, which is 28 miles. The speed at which the person is traveling is 28 miles per hour. We can use the formula: Time = Distance / Speed

Time = 28 miles / 28 miles per hour = 1 hour

3. Next, we calculate the time taken for the return trip from point C to the starting point. The distance covered is the same, 28 miles. However, the speed is different, which is 35 miles per hour. Using the formula mentioned earlier: Time = Distance / Speed

Time = 28 miles / 35 miles per hour ≈ 0.8 hours

4. To find the total time, we add the time for the outgoing trip and the time for the return trip: Total Time = 1 hour + 0.8 hours = 1.8 hours

5. To convert the total time to minutes, we multiply by 60:

Total Time in Minutes = 1.8 hours * 60 minutes per hour ≈ 108 minutes Rounding to the nearest tenth, the entire trip took approximately 77.1 minutes.

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Anais, who bought a ribbon of length \(2 \dfrac 12 \) yards, and she trimming a curtain from it. From substraction, length of ribbon used in curtain is equals to 72 inches.

Word problems express in mathematical form. In subtraction, keywords that could signal the operation are lesser, less than, removed from. However, there are times when the idea of subtraction or taking away is inferred from the problem itself. In the problem, total length of ribbon Anais bought

= \(2 \dfrac 12 \) yards

The length of ribbon left after trimming some curtains = 1 feet 6 inches

We have to determine inches of ribbon Anais use to trim the curtains. Let it will be equal to x inches . We may notice in the provide values that they all have different units. We can convert the all different units into inches. Using uint conversation, 1 yard = 36 inches

=> \(2 \dfrac 12 \)

yards =\( 36 × \frac{ 5}{2} \)

= 90 inches

Similarly, 1 feet = 12 inches, then 1 feet + 6 inches = 12 + 6 = 18 inches

Thus, the left ribbon length = 18 inches

Using substraction method, the length in inches of ribbon that anais use to trim the curtains = total length - left length of ribbon = 90 - 18

= 72 inches.

Hence, required value is 72 inches.

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Complete question:

Anais bought

\(2 \dfrac 12 \)

yards of ribbon. She had 1 feet 6 inches of ribbon left after trimming some curtains. How many inches of ribbon did Anais use to trim the curtains?