An arithmetic sequence is given below.
7, 13, 19, 25,
the
Write an explicit formula for the n'th term
a’n

Answer:

Step-by-step explanation:

Here you go mate

step 1

k^2+8k+22=6​  equation

step 2

k2+8k+22(-6)=6(-6)  subtract -6

k2+8k+16=0

step 3

k2+8k+16=0  factor

(k+4)(k+4)=0

step 4

(k+4)(k+4)=0  set the numbers equal to zero

answer

k=-4

The confidence interval for the proportion of adults who identify chocolate pie as their favorite pie can be calculated using the following formula:
Confidence Interval = Sample Proportion ± Margin of Error

First, we need to calculate the sample proportion. In this case, the sample proportion is equal to the percentage of respondents who chose chocolate pie, which is 48%.

Sample Proportion = 48% = 0.48

Next, we need to calculate the margin of error. The margin of error depends on the confidence level and the sample size. In this case, the confidence level is 90%, which corresponds to a z-score of 1.645 (obtained from a z-table). The sample size is 22.

Margin of Error = z * sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)
                = 1.645 * sqrt((0.48 * (1 - 0.48)) / 22)
                = 0.229

Now we can calculate the confidence interval.
Confidence Interval = Sample Proportion ± Margin of Error
                          = 0.48 ± 0.229
                          = (0.251, 0.709)

The confidence interval for the proportion of adults who identify chocolate pie as their favorite pie is (0.251, 0.709) at a 90% confidence level.

Learn more about confidence interval: https://brainly.com/question/15712887

#SPJ11

Answer:

53°

Step-by-step explanation:

Corresponding angles are congruent

Answer:

el pepe

Step-by-step explanation:

When comparing R-squared values between different regressions, it is essential to use the same set of observations. If the regressions use different sets of observations, it is not valid to directly compare the R-squared values. The R-squared value is specific to the data used in the regression analysis and cannot be generalized across different sets of observations.

R-squared (coefficient of determination) is a statistical measure that indicates the proportion of the variance in the dependent variable that can be explained by the independent variables in a regression model. It ranges from 0 to 1, where a value of 1 indicates a perfect fit of the model to the data.

The R-squared value is specific to the particular set of observations used in the regression analysis. Changing the set of observations will likely result in different R-squared values, even if the same independent variables are used.

When comparing R-squared values between different regressions, it is important to ensure that the regressions use the same set of observations. If the regressions use different sets of observations, the R-squared values cannot be directly compared because they are calculated based on different data

To know more about R-squared, visit

https://brainly.com/question/27958239

#SPJ11

The equation 0.05n + 0.10d = 3.65 is equivalent to the equation 0.05n + 0.1d + 3.65. This equation states that the total value of the nickles and dimes in Jada's coin jar is 3.65.

The equivalent equation  0.05n + 0.1d+3.65 is 5n + 10d = 365. This equation can be obtained by multiplying both sides of the original equation by 100 to eliminate the decimal points. This gives us:

100(0.05n + 0.1d + 3.65) = 100(3.65)
5n + 10d + 365 = 365

Next, we can subtract 365 from both sides of the equation to isolate the variables on one side:

5n + 10d = 365

Therefore, the equation 5n + 10d = 365 is equivalent to the original equation 0.05n + 0.1d+3.65 and can be used to represent the situation of Jada's coin jar.

Learn more about equivalent equation at https://brainly.com/question/29013156?referrer=searchResults

#SPJ11

Answer:

21. Same Line

22. Same Line

23. Perpendicular

24. Neither

25. Parallel

26. Neither

27. Neither

28. Neither

29. Perpendicular

30. Perpendicular

31. Neither

32. Perpendicular

33. Parallel

34. Perpendicular

35. Perpendicular (?)

36. Neither

37. Neither

38. Parallel

39. Neither

40. Parallel

Answer:

$6.18

Step-by-step explanation:

43.28÷7 units = 6.18 per 1 unit

Answer:

Step-by-step explanation:

I’m not good at explaining but basically if you do 20n - 15n it would be 5n

Answer: 8.375

Step-by-step explanation:

Add them together and turn them into a decimal, and you have ur answer!

48 will be the value to ensure that A′ is asymptotically faster than A.

The recurrence relation T(n)=7T(n/2)+n2 is given by the question, and its answer is the asymptotic complexity master theorem T(n)=(nlog49base4).

Therefore, the recurrence relation T′(n)=T′(n/4)+n2 can be used to express the complexity in general.

As a result, the relationship is as follows: a=, b=4, f(n)=n2.

For a value of the >16, nloga base b=nlog base 4, and the >0, f(n)=O(nlog).

As a result, for n > 16, T′(n) = (n log base 4)

Now since A is getting asymptotically faster than A', A must hold:

Base 4 (nlog) nlog49 base 4 Since the base is equal to e, we can calculate the power as follows: log base 4 log49 base 4. Thus, after solving, we will obtain 49.

Therefore, 48 will be the value to ensure that A′ is asymptotically faster than A.

Know more about recurrence relation

https://brainly.com/question/29413223

#SPJ4

Answer:

39

Step-by-step explanation:

above 50 it's nearest 100.

Please mark me as a brainliest

Answer:

38.98

Step-by-step explanation:

Step 1: look at the number after the hundredths place, in this problem being 7

Step 2: Indecate wither thr number is larger than 5 or smaller than 5. If larger you would round up, if smaller you'd round down.

In this problem you would round up.

Step 3: When rounding up you go to the hundredths place and add one to that place. When rounding down, you delete all the values after the hundredths place.

We can give upper and lower estimates using the Trapezoidal Rule with 6 subintervals and use the Midpoint Rule with 3 subintervals to obtain a more accurate estimate.

Explanation:

To estimate Q(6) using the Trapezoidal Rule with 6 subintervals, we divide the interval [0, 6] into 6 subintervals of equal width. Then, we use the formula for the Trapezoidal Rule:

Q(6) ≈ h/2 * [f(0) + 2f(h) + 2f(2h) + ... + 2f(5h) + f(6h)]

where h is the width of each subinterval (h = 1 in this case), and f(t) is the rate at which materials are spewed into the atmosphere at time t. Using the values in the table, we can calculate the lower and upper estimates for Q(6) using this formula.

For the Midpoint Rule with 3 subintervals, we divide the interval [0, 6] into 3 subintervals of equal width. Then, we use the formula for the Midpoint Rule:

Q(6) ≈ h * [f(1.5h) + f(4.5h) + f(7.5h)]

where h is the width of each subinterval (h = 2 in this case). Again, using the values in the table, we can calculate an estimate for Q(6) using this formula.

The upper and lower estimates for Q(6) using the Trapezoidal Rule with 6 subintervals are 12.45 tonnes and 16.25 tonnes, respectively. The estimate for Q(6) using the Midpoint Rule with 3 subintervals is 15.82 tonnes. The Midpoint Rule gives a more accurate estimate since it uses the midpoint of each subinterval, which can reduce the error introduced by the linear approximation of the Trapezoidal Rule.

To learn more about subinterval click here, brainly.com/question/10207724

#SPJ11

(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

Learn more about Fourier transform

brainly.com/question/29063535

#SPJ11

The sum of the given expression from n = 3 to 7 is 241.

The given expression is to be evaluated from n = 3 to 7.  The given expression is,begin{align*}\sum_{n=3}^{7} (n^2 + 2n)\end{align*}Now, we can substitute the values of n and add them up to evaluate the expression. So, the sum of the expression is, \begin{align*}\sum_{n=3}^{7} (n^2 + 2n) &= (3^2 + 2 \cdot 3) + (4^2 + 2 \cdot 4) + (5^2 + 2 \cdot 5) \\&\qquad+ (6^2 + 2 \cdot 6) + (7^2 + 2 \cdot 7)\\&= 9 + 20 + 35 + 72 + 105\\&= \boxed{241}.\end{align*}.

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the phrase x + y is one where x and y are terms with an addition operator in between. There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.

Know more about expression here:

https://brainly.com/question/30091977

#SPJ11

The cube root of 126.2 is approximately 0.016 larger than the cube root of 125.

Linear approximation is a strategy for approximating the values of complicated functions. When a graph is relatively straight, this approximation is quite effective. A linear approximation for a function is a straight line that represents a close approximation of the original function.

The formula to be used is given by

df/dx = (f(x+dx)-f(x))/dx

The first derivative of the cube root of x can be computed as follows:

f(x) = x^(1/3)

df/dx = (1/3)*x^(-2/3)

Using this formula, we can calculate the linear approximation of the cube root of 126.2. This can be done as follows:

f(x + dx) ≈ f(x) + df/dx * dx

In the given case, the f(x) = ∛125 ⇒ 5

Let dx = 126.2 - 125 ⇒ 1.2

Then the linear approximation of the cube root of 126.2 is given by

f(126.2) ≈ f(125) + df/dx * dx

⇒ f(126.2) ≈ 5 + (1/3)*125^(-2/3) * 1.2

⇒ f(126.2) ≈ 5 + 0.016

⇒ f(126.2) ≈ 5.016

Therefore, the cube root of 126.2 is roughly 0.016 greater than the cube root of 125.

To know more about the "linear approximation":https://brainly.com/question/2254269

#SPJ11

Answer:

Step-by-step explanation:

You take the 15 he had and subtract 9.52 from that which would look like this

15 - 9.52 = 5.48

Now with our new value 5.48 we divide it by two.

5.48 / 2 = 2.74

So he saved $2.74

Answer:

8

hopes this helps

Hello!

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

(-32):(-4)

8

Remember this:

-a:-b=c

A negative number divided by a negative number equals a positive number.

Hope it helps!

~SparklingFlower

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

Answer:

4.75 or 19/4 or 4 3/4

Step-by-step explanation:

Answer:

the answer is a octagon that has rotation of 45degrees

The expression that represents the perimeter of the given triangle in centimeters is;  14n + 10p + 14q

We are given the  side lengths of the triangle as;

5n + p; 9n + 8q; 6q + 9p

Now, the formula for perimeter of a triangle is;

Perimeter = a + b + c

where a, b and c are side lengths of the triangle. Thus;

Perimeter = 5n + p + 9n + 8q + 6q + 9p

Perimeter = 14n + 10p + 14q

In conclusion, we can sa that the perimeter of the given triangle is 14n + 10p + 14q.

Read more about Triangle Perimeter at; https://brainly.com/question/24382052

The simplified expression in exponential form would be 23^(a + b).

To simplify the numerical expression 23a x 23b, we can combine the like terms.

Step 1: Simplify 23a and 23b individually.

The expression 23a means multiplying 23 by a, and 23b means multiplying 23 by b. We cannot simplify them further because we do not have specific values for a and b.

Step 2: Combine the simplified terms.

When we multiply 23a by 23b, we multiply the coefficients (23 x 23) and the variables (a x b). Therefore, the simplified expression is:
(23 x 23) x (a x b)

Step 3: Calculate the coefficient and write the answer in exponential form.

The coefficient (23 x 23) is equal to 529. In exponential form, we can write it as 23^2. So the final simplified expression is:
23^2 x (a x b)

In summary, the simplified numerical expression 23a x 23b can be written as 23^2 x (a x b) in exponential form.

To know more about exponential form refer here:

https://brainly.com/question/29166310

#SPJ11

Answer:

Step-by-step explanation: Sure! Here's a step-by-step solution to find the amount of red icing Ashley needs for one cake:

Divide the total amount of red icing by the number of cakes: 10 1/2 ÷ 3 1/2 = 3.

Simplify the result from step 1: 3 = 3 ounces of red icing per cake.

So Ashley needs 3 ounces of red icing to write a message on one cake.

Answer:

54

Step-by-step explanation:

see attached

Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.

This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.

The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.

Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].

It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].

To know more about Confidence interval visit

https://brainly.com/question/31736191

#SPJ11

Answer:

The war provided Great Britain enormous territorial gains in North America, but disputes over subsequent frontier policy and paying the war's expenses led to colonial discontent, and ultimately to the American Revolution.

Step-by-step explanation:

statistical calculations are important in risk management and insurance because they help to quantify and model risk, predict future outcomes, and manage risk effectively.

Variance is important in risk management and insurance because it helps to assess the volatility or fluctuation of returns, which is important in determining how much risk an individual or company is willing to take. Random Variable :Random variables are essential in risk management because they help to determine the probability of specific outcomes. This is particularly important for insurance companies that need to calculate premiums and manage risk on behalf of policyholders .Expected Value: Expected value is critical to risk management because it helps to calculate the average outcome of an event over a large number of trials. This helps to predict future outcomes and manage risk. Probability Distributions :Probability distributions are important in insurance and risk management because they help to quantify and model the likelihood of different outcomes and events. This is critical in assessing and managing risk. Standard Deviation :Standard deviation is important in risk management because it helps to measure the amount of variability or dispersion of data around the mean or expected value. This is important in determining the level of risk associated with an investment or policy decision .

To know more about Variable Visit:

https://brainly.com/question/15078630

#SPJ11

Answer:

13 to the seventh power is one

Step-by-step explanation:

13⁷

13*7

13+13+13+13+13+26