(1 point) Assume that we converges to p = 4. What can you say about the convergence of the given series? an+1 an = Σ4 - Σκα . bn nº an n=1 n=1 bn+1 bn = (Enter 'inf' for 00.) n00 00 nºan is: n=1 A. convergent B. divergent C. The Ratio Test is inconclusive

Based on the information given, if Ozzie uses his coupon and pays 7% sales tax, the amount tax that he will pay for two dozen cookies is $10.18 (Option C).

Given:

The sale price is 85% of the original price, and the coupon

This means that Ozzie will pay 95% of that.

The added tax causes the resulting price to be multiplied by 107%, so for 2 dozen cookies.

Hence, Ozzie to compute how much tax Ozzie will pay, we say:

 2(5.89)(0.85)(0.95)(1.07)

= $10.18

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Answer:

56 different outfits

Step-by-step explanation:

Answer:

there are 60 slices of ham

Step-by-step explanation:

Answer:

one side should be given.

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Answer:

Step-by-step explanation:

The surface area is a sum of areas of four triangles with base of 8 m and hight of 12 m and areas of five squares with sides of 8 m.

If a value of 50° is added to the data, the change that occurs is: A. the median decreases to 77°.

To determine how adding a value of 50° to the data affects the median, let's first calculate the median for the original data:

58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57

Arranging the data in ascending order:

57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

The median is the middle value in the dataset. Since there are 12 values, the middle two values are 71 and 77. To find the median, we take the average of these two values:

Median = (77 + 82) / 2 = 159/ 2 = 79.5

So the original median is 79.5°.

Now, if we add a value of 50° to the data, the new dataset becomes:

57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105, 50

Again, arranging the data in ascending order:

50, 57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

Now, let's find the new median. Since there are 13 values, the middle value is 77 (as 77 is the 7th value when arranged in ascending order).

Therefore, the new median is 77°.

Comparing the original median (79.5°) with the new median (77°), we can see that the median decreases.

Thus, the correct answer is:

B. The median decreases to 77°.

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The required measure of angle m∠Q is 42 degrees, as of the given condition.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should equal to 180°

Here,
In a triangle, the sum of the angles is always equal to 180 degrees. Therefore, for triangle OPQ,

m∠O + m∠P + m∠Q = 180°

Using the given information,

m∠O = (6x - 14)°

m∠P = (2x + 16)°

m∠Q = (2x + 8)°

(6x - 14)° + (2x + 16)° + (2x + 8)° = 180°

10x + 10 = 180°

10x = 170

x = 17

Substituting the value of x back into the expression for m∠Q,

m∠Q = (2x + 8)°

m∠Q = (2 * 17 + 8)°

m∠Q = 42°

So the value of m∠Q is 42 degrees.

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The integration of tannxsecmx is evaluated using the formula [-ln|cos(x)| + tan(x)]/m + Cn/m.

To solve the integration of sinnxcosmx, we use the identity for sin(nx)cos(mx) as follows:

sin(nx)cos(mx) = [(sin(nx+mx) + sin(nx-mx))/2][1/2]

We take the integral of this by using the formula as below:

(2/π)[cos((n-m)x)/n-m - cos((n+m)x)/n+m] where n ≠ m

The final result is the integration of sinnxcosmx = [cos((n-m)x)/n-m - cos((n+m)x)/n+m]/2

To solve the integration of sinnxcosmx, we use the identity for sin(nx)cos(mx) to obtain [(sin(nx+mx) + sin(nx-mx))/2][1/2].

We can evaluate this integral using the formula (2/π)[cos((n-m)x)/n-m - cos((n+m)x)/n+m] where n ≠ m.

The integration of tannxsecmx is evaluated using the formula [-ln|cos(x)| + tan(x)]/m + Cn/m.

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Answer:

10

Step-by-step explanation:

E = V + 1/2mv^2

700 = 300 + 1/2*8*v^2

400 = 4v^2

100 = v^2

v = 10

The statement ''the symbol μ ˆ p represents the proportion of a sample of size n, not the proportion of a sample of size n.'' is false because the symbol "μ ˆ p" does not represent the proportion of a sample of size n.

In statistical notation, the symbol "μ ˆ p" typically represents the sample proportion, which is an estimate of the population proportion. The sample proportion is obtained by dividing the number of occurrences of a specific event in the sample by the sample size.

On the other hand, the population proportion, denoted by "p," represents the proportion of the entire population that exhibits a certain characteristic or has a specific attribute.

The symbol "μ ˆ p" could be a typographical error or a confusion between different symbols used in statistics. The correct symbol to represent the sample proportion is usually denoted as "p ˆ" or "p-hat." The symbol "μ" typically represents the population mean.

Therefore, it is incorrect to state that "μ ˆ p" represents the proportion of a sample of size n.

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It will take 27 minutes for all the kids to have gone home

The given parameters are:

9 kids every 3 minutes

This can be represented as

9 kids = 3 minutes

Let the time spent by 81 kids be x

So, we have the following equation

81 kids = x

Rewrite the parameters as

9 kids = 3 minutes

81 kids = x

Cross multiply in the above equation

So, we have:

9 * x = 3* 81

Divide both sides by 9

x = 3 * 9

Evaluate

x = 27

Hence, it will take 27 minutes for all the kids to have gone home

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Answer:

36

Step-by-step explanation:

36. Follow GEMDAS. Groping symbols, exponents, multiplication, division, addition, subtraction. 6^3 equals. 6 times 6 times 6. Which is 216. 216-9 is 207. 207 divided by 23 is 9. 9times 4 is 36.

Answer:

36

Step-by-step explanation:

36. Follow GEMDAS. Groping symbols, exponents, multiplication, division, addition, subtraction. 6^3 equals. 6 times 6 times 6. Which is 216. 216-9 is 207. 207 divided by 23 is 9. 9times 4 is 36.

Answer:

15 2/3

Step-by-step explanation:

1 x 2/3 + 15=2/3+15=15 2/3

Answer: 15 2/3

Step-by-step explanation:

1. Times the 1 and the two-thirds.

1 * 2/3 = 2/3

2. Add two-thirds and fifteen.

2/3 + 15 = 15 2/3

a) The values are given as follows:

i) x1: -0.5.

ii) x2: -0.280125.

b) The solution of the equation is of: -0.25410169644.

The equation in this problem is given as follows:

y = (x³ - 1)/4.

The solution is obtained using a iterative solution method, until the difference between previous iterations is less than 10^-6, as the solution is exact to 6 decimal places.

Then the values are given as follows:

x1  = -1 -> attributed.

x2 = ((-1)³ - 1)/4 = -0.5.

x3 = ((-0.5)³ - 1)/4 = -0.28125.

x4 = ((-0.281255)³ - 1)/4 = -0.25556212524.

x5 = ((-0.25556212524)³ - 1)/4 = -0.25417281837

x6 = ((-0.25417281837)³ - 1)/4 = -0.25410513385

x7 = ((-0.25410513385)³ - 1)/4 = -0.25410185521.

x8 = ((-0.25410185521)³ - 1)/4 = -0.25410169644. -> difference less than six decimal places.

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An approximate solution to an equation is found using this iterative process.

Xₙ₊₁= (Xₙ)³ - 1 / 4 and x₁= -1

a)

(i) Work out the value of x₂

(ii) Work out the value of x₃

b) Work out the solution to 6 decimal places

Answer:

\(C = 1000S + 500B\)

Step-by-step explanation:

Given

\(S = Banana\ Splits\)

\(B=Bacon\ Rolls\)

Reading through the question, we have:

Number of calories per serving:

\(S \to 1000\)

\(B \to 500\)

Let

\(x = Cholesterol\)

\(y =Sugar\)

So, we have:

Each serving of S

\(x \to 1S\)

\(y \to 3S\)

Each serving of B

\(x \to 4B\)

\(y \to 1B\)

Recommendation

\(x \to \le 10\) - i.e. not more than 10 units of cholesterol

\(y \to \ge 2 \& \le 9\) i.e. At least 2units but not more than 9 units of sugar

So, the constraints are:

\(S + 4B \le 10\)

\(3S + B \ge 2\)

\(3S + B \le 9\)

Recall that the calories per serving is:

\(S \to 1000\)

\(B \to 500\)

Hence, the objective function is:

\(C = 1000S + 500B\)

The absolute maximum and minimum for the function f(x) = x^4 - 4x^3 - 10 are as follows: (A) on the interval [-1,1], there is no absolute maximum; (B) on the interval [0,4], the absolute maximum occurs at x = 2; (C) on the interval [-1,2], the absolute maximum occurs at x = 2.

To find the absolute maximum and minimum of the function, we need to analyze the critical points and the endpoints of the given intervals.
(A) On the interval [-1,1], we first find the critical points by taking the derivative of f(x) and setting it equal to zero: f'(x) = 4x^3 - 12x^2 = 0. Solving this equation, we get x = 0 and x = 3. However, since 3 is not within the interval [-1,1], there are no critical points in the interval. Therefore, we check the endpoints of the interval, which are f(-1) = -14 and f(1) = -12. The function does not have an absolute maximum in this interval.
(B) On the interval [0,4], we find the critical points by setting f'(x) = 0: 4x^3 - 12x^2 = 0. Solving this equation, we find x = 0 and x = 3. However, 0 is not within the interval [0,4]. Therefore, we check the endpoints: f(0) = -10 and f(4) = 26. The absolute maximum occurs at x = 2, where f(2) = 2^4 - 4(2)^3 - 10 = 2.
(C) On the interval [-1,2], we find the critical points by setting f'(x) = 0: 4x^3 - 12x^2 = 0. Solving this equation, we get x = 0 and x = 3. However, 3 is not within the interval [-1,2]. We check the endpoints: f(-1) = -14 and f(2) = -10. The absolute maximum occurs at x = 2, where f(2) = 2^4 - 4(2)^3 - 10 = 2.
Therefore, the answers are: (A) No absolute maximum, (B) Absolute maximum at x = 2, and (C) Absolute maximum at x = 2.

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The x and y-intercept are the point at which graph cuts the respective axis thus the x-intercept of -2x + 3y = 34 is (-17,0) while y-intercept is (0,34/3).

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand the behavior of the graph.

As per the given graph,

-2x + 3y = 34

The x-intercept is the point on the x-axis where the function cuts and since at the x-axis the value of y is 0 thus its coordinate will be (x,0).

Substitute y = 0 into -2x + 3y = 34

-2x + 0 = 34 ⇒ x = -17 so coordinate (-17,0)

Similarly y-intercept (0,y)

0 + 3y = 34 ⇒ y = 34/3 so coordinate (0,34/3)

Hence "The x and y-intercept are the point at which graph cuts the respective axis thus the x-intercept of -2x + 3y = 34 is (-17,0) while y-intercept is (0,34/3)".

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The correct statement is: The absolute frequency of Vanilla is 3 and its relative frequency is 0.33.

In the given ice cream orders, Vanilla appears 3 times. This count of 3 represents the absolute frequency of Vanilla. Absolute frequency refers to the actual number of occurrences of a particular observation or event. To calculate the relative frequency of Vanilla, we divide its absolute frequency by the total number of observations. In this case, the total number of ice cream orders is 12. Thus, the relative frequency of Vanilla is 3/12, which simplifies to 0.25 or 25%.

Relative frequency represents the proportion or percentage of the total observations that a specific event or observation constitutes. It provides a standardized measure that allows for comparison across different data sets. In this context, Vanilla comprises 25% of the ice cream orders, indicating its relative popularity compared to other flavors in the sample.

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\( \sqrt{8} =2 \sqrt{2} \)

\( \sqrt{8} \)

\( = \sqrt{(4 \times 2)} \)

\( = \sqrt{4} \times \sqrt{2} \)

\( = 2 \sqrt{2} \)

The evaluation of the expression  (-3)² is incorrect the correct answer will be  (-3)²=+9.

Expression in maths is defined as the collection of the numbers variables and functions by using the signs like addition,substraction, multiplication and division.

Here we have an expression in the question:-

=  (-3)²  = (-3  x   -3  )  =  9

So the answer of the question will be 9 because the multiplication of the two negative sign is always positive.

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Step-by-step explanation:

A line in point (-3, 3)  and slope (4) form is :

(y-3) = 4 ( x - -3)

y-3 = 4x + 12

y = 4x + 15                    in slope -intercept form

A,12/15=4/5

B,20/25=4/5

C,25/30=5/6

D,28/35=4/5

=> C

The number of gift bags that Taisha will make is 10.

Fractions represent parts of a whole or group of objects. A fraction is made up of two parts. The number at the top of the line is referred to as the numerator. The denominator is the number below the line. It displays the total number of equal parts into which the whole is divided or the total number of identical objects in a collection.

From the information given, Taisha wants to put 1/2 pound of chocolate in each bag and she has 4 \(\frac{3}{4}\) pounds of chocolate.

The number of bags that she needs will be calculated by dividing the fractions given. This will be:

= Total chocolate / Amount in each bag

= 4 \(\frac{3}{4}\) ÷ 1/2

= 19/4 ÷ 1/2

= 19/4 × 2

= 38/4

= 9 \(\frac{1}{2}\)

Therefore, she will need 10 bags.

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The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

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The percentage of published studies that supported the tested hypothesis has changed from 70 to 85% over the past 25 years.

Hypothesis testing:

A hypothesis testing means investigates a proposed mathematical model to determine whether there is sufficient evidence from a sample of data to reject the defined null hypothesis.

Given,

The percentage of published studies that supported the tested hypothesis has changed from _____ to _____ over the past 25 years.

Here we need to find the change in the percentage for the past 25 years.

Based on the details, the percentage of published studies that supported the tested hypothesis has changed from 70 to 85% over the past 25 years.

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Answer:

between $10 and $20 for undecorated cookies; or between $12 and $25 for cookies

Step-by-step explanation:

\( \: \: \: \: \: \)

\( = \: \: \: x = - \frac{3}{2 } \\ \\ \)

refer to attachment

\( \: \: \: \: \: \)

Answer:

This is the answer I got.

Answer:

B is the answers for the question

Step-by-step explanation:

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