Any experts, help please.

Answer:

20%

Step-by-step explanation:

84-70=14

20% of 70 is 14

Hermite polynomials, denoted by H(n, x), are a family of orthogonal polynomials with important applications in mathematical physics and probability theory. They are defined recursively, with base cases H(0, x) = 1 and H(1, x) = 2x. For n > 1, the recursive relation is given by H(n, x) = 2xH(n-1, x) - 2(n-1)H(n-2, x).

To implement a recursive function H that calculates the n-th Hermite polynomial at x using memoization, you can use a dictionary to store previously computed values of the polynomial. This will help in avoiding redundant computations and improve the efficiency of the algorithm.

Here's a Python implementation:

```python
def H(n, x, memo={}):
   if n == 0:
       return 1
   elif n == 1:
       return 2 * x
   else:
       if (n, x) not in memo:
           memo[(n, x)] = 2 * x * H(n - 1, x) - 2 * (n - 1) * H(n - 2, x)
       return memo[(n, x)]
```

This function takes an integer n and a double x as input and returns a double representing the value of the n-th Hermite polynomial at x. The function uses memoization to optimize performance, storing previously computed values in a dictionary called memo. This way, when encountering the same inputs again, the function can return the already computed value instead of performing the calculations anew.

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The given series diverges.

The given series below is:

\(\sum_{n=1}^{\infty}\frac{n!3^{2n}(-1)^n}{n^2(n+2)!}\)

Test for Divergence:

\(\lim_{n\rightarrow\infty}\frac{n!3^{2n}(-1)^n}{n^2(n+2)!}\\=\lim_{n\rightarrow\infty}\frac{(-1)^n3^{2n}}{(n+2)^2}\\=\lim_{n\rightarrow\infty}\frac{9^n}{(n+2)^2}\\=+\infty\)

Since the limit is not equal to 0, the series is divergent.

Hence, the series does not converge.

Therefore, the given series diverges.

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Answer:

125g for $0.79

Step-by-step explanation:

500g of yogurt for $3.49 equals 0.00698 per gram.

3.49/500 = 0.00698

125g of yogurt for $0.79 equals 0.00632 per gram.

0.79/125 = 0.00632

hope this helps

Answer:

y=3x

Step-by-step explanation:

3 is telling how many centimeter she knits per NIGHT, so x will be perfect for 3 because x will be the number of night. Y will be the answer because 3x will show the total length of the knit

Control typically arises when an entity has the power to govern the financial and operating policies of another entity to obtain benefits from its activities. In this case, Radiant Age Berhad initially acquired 30% of the ordinary shares of Glitter Berhad on 1 January 2022.

Acquiring 30% of the ordinary shares indicates a significant ownership stake in Glitter Berhad. However, control is not solely determined by the percentage of shares owned. It also depends on the ability to influence the financial and operating policies of the entity.

Given that Radiant Age Berhad holds a substantive option to acquire another 25% of the ordinary shares, it suggests a potential increase in ownership to a total of 55%. However, the option can only be exercised in 40 days, which is on 12 February 2022.

To determine control, we need to evaluate whether Radiant Age Berhad had the ability to govern the financial and operating policies of Glitter Berhad before exercising the option. Factors such as board representation, voting rights, contractual agreements, and the ability to influence key decision-making are crucial in assessing control.

Since the option to acquire the additional 25% of shares can only be exercised after 12 February 2022, Radiant Age Berhad did not have control over Glitter Berhad before that date. Control would only be established if and when the option is exercised, and Radiant Age Berhad obtains the additional shares, bringing their total ownership to 55%.

It's important to note that control is a complex concept, and the specific details of the option agreement and other factors may influence the determination of control. Professional judgment and a detailed analysis of the circumstances would be necessary to arrive at a conclusive assessment of control in this scenario.

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Answer:

The final cost is 1.07($17.15) = $18.35

Step-by-step explanation:

If the discount is 30%, we can find the discounted price by taking 70% of the original price (since 100% - 30% = 70%).  Substitute the equivalent 0.70 to calculate the discount price:  0.70($24.50) = $17.15.  This is the discounted price.

The final cost is $17.15 times 1.07, which includes the discounted price plus the 7% tax.  That final cost is 1.07($17.15) = $18.35.

The specific name of the quadrilateral is trapezoid

The measure of the missing angle is 55 degrees

To determine the measure of the angle, we need to know the following;

The properties of a trapezoid are listed as;

From the information given, we have that;

125 + x = 180

collect the like terms, we have;

x = 180 - 125

subtract the values, we get;

x = 55 degrees

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Regarding the graphs of the functions \(h(x) = x^2 - 4\) and \(g(x) = (x - 4)^2,\) the following statements are true:

The vertex of the graph of h(x) is located at (0, -4), while the vertex of the graph of g(x) is located at (4, 0).

The vertex represents the minimum or maximum point of the parabola.

The graph of h(x) opens upwards, indicating a positive coefficient for the \(x^2\)  term, while the graph of g(x) also opens upwards due to the positive coefficient of the squared term \((x - 4)^2.\)

The graph of h(x) intersects the x-axis at x = -2 and x = 2, indicating the solutions to the equation \(x^2 - 4 = 0.\)

On the other hand, the graph of g(x) intersects the x-axis at x = 4, representing the solution to the equation \((x - 4)^2 = 0.\)

It's important to note that the graph of h(x) is a standard quadratic function, while the graph of g(x) is a quadratic function with a horizontal shift of 4 units to the right.

The differences in their vertex, x-intercepts, and shape indicate these variations between the two functions.

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Sydney will spend $19.48 on fruit.

Price of strawberries = $1.68 per pound

Price of raspberries = $2.98 per pound

Sydney wants to buy 8.4 pounds of strawberries and 1.8 pounds of raspberries.

Therefore,

Price of 8.4 pounds strawberries = 8.4*Price per pound

Price of 8.4 pounds strawberries = 8.4*1.68 = $14.112

Price of 1.8 pounds raspberries = 1.8*price per pound

Price of 1.8 pounds raspberries = 1.8*2.98 = $5.364

Total spent on fruit = Price of 8.4 pounds strawberries + Price of 1.8 pounds raspberries

Total spent on fruit = $14.112 + 5.364 = 19.48

Rounding off to nearest hundredth;

Total spent on fruit = $19.48

Therefore, Sydney will spend $19.48 on fruit.

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Answer:

8 cm

Step-by-step explanation:

The maximum length of the string will be the greatest common divisor of  32 , 16 , 8

32 = 2 * 2 * 2 * 2 * 2

16 = 2 * 2 * 2 * 2

8 = 2 * 2 * 2

GCD = 2* 2 * 2 = 8

The maximum length of the string = 8 cm

Answer:

             \(\bold{h=\dfrac{3Q}{t-r}}\)

Step-by-step explanation:

\(\bold{r+\frac{3Q}h=t}\\-r\qquad\ -r\\\bold{\frac{3Q}h=t-r}\\\cdot h\qquad \cdot h\\ \bold{3Q=(t-r)h}\\^{\div(t-r)\quad\div(t-r)}\\\bold{\dfrac{3Q}{t-r}=h}\)

Or, if you mean (r+3Q)/h=t:

\(\bold{\frac{r+3Q}h=t}\\{}\ \ \cdot h\quad\ \cdot h\\\bold{r+3Q=ht}\\{}\ \ \div t\qquad \div t\\\bold{\dfrac{r+3Q}{t}=h}\\\\\bold{h=\dfrac{r+3Q}{t}}\)

There are 84 possible student body governments

The given parameters are:

Senior = 7

Junior = 3

Sophomore = 4

The number of student body governments is calculated as:

n = Senior * Junior * Sophomore

This gives

n = 7 * 3 * 4

Evaluate

n = 84

Hence, there are 84 possible student body governments

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answer below

Step-by-step explanation:

4 is the answer

just sub in 2 for x

Answer:

$7.75 in total

Answer:

Step-by-step explanation:

483278.4

(a)  The probability of the with replacement is 3/80.

(b) The probability of the without replacement is 15/380.

Two cards are selected at random Of a deck of 20 cards ranging from 1 to 5 with monkeys, frogs, lions, and birds on them all numbered 1 through 5 .

a) with replacement.

5/20 * 3/20 = 3/80.

b) without replacement.

5/20 3/19 = 15/380.

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1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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The statement is correct. The product of a complex conjugate is always a real number.

Given, if neither a nor b are equal to zero then we have to conclude that which of the following statement accurately describes the product of (a + ib)(a - ib). So, let's proceed to solve the question accordingly.

Now, solve the product of (a + ib)(a - ib), we get

(a + ib)(a - ib) = a(a - ib)+ib(a - ib)

                     = a^2-iab+iab+(ib)^2

                     = a^2+i^2b^2

we know that, i^2 = -1, then

= a^2+i^2b^2 = a^2+b^2

⇒(a + ib)(a - ib) = a^2+b^2

∴ a^2+b^2 will always give a real number.

Therefore, option (d) is correct. The product of a complex conjugate is always a real number.

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A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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Answer:

5/1 or 5

Step-by-step explanation:

4 cup of lemonade is $20

then,

1 cup of lemonade is 20 ÷4 =5

Answer:

i would chose a or b

Step-by-step explanation:

you want to get the one person that have the most valubale commet so pick random coustimers i wouldnt pick d becuase you are probably going to get the same answer

Answer:

survey 100 randomly selected parents in a theme park

Step-by-step explanation:

random selection.It is considered a fair way to select a sample from a larger population. (since every member of the population has an equal chance of getting selected).

When x and y are in direct proportion, the value of y when the value of x is 11 is 77.

What is meant by direct proportion?

The relationship between two values where their ratio equals a constant number is known as a direct proportion or direct variation. Sometimes, we notice that changes in one quantity's value are similar to changes in another quantity's value, meaning that when one quantity's value rises, the other quantity's value rises in the same proportion and vice versa. Two quantities are said to exist in direct proportion when such circumstances occur. According to the direct proportion formula, if y is directly proportional to x, we can state that y = kx, where k is a constant.

When x and y are in direct proportion, we can write,

x/y = c

where c is a constant.

Now it is given that y = 42 , when x = 6

then c = x/y = 6/42 = 1/7

We are asked to find the value of y when x = 11.

The c remains constant.

so 11/y = 1/7

y = 11*7 = 77

Therefore when x and y are in direct proportion, the value of y when the value of x is 11 is 77.

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Based on the survey conducted by the alumni association, a sample of 100 alumni was taken from the population of all living alumni. Out of this sample, 64 alumni were in favor of firing the coach. To calculate the 95% confidence interval for the proportion of all living alumni who favor firing the coach, we can use the formula: CI = p ± z*(sqrt(p*(1-p)/n))

 To find the 95% confidence interval for the proportion p of all living alumni who favor firing the coach, follow these steps:

1. Identify the sample proportion (p-hat), which is the proportion of alumni in favor of firing the coach in the sample. In this case, p-hat = 64/100 = 0.64.

2. Determine the sample size (n), which is 100 in this case.

3. Find the standard error (SE) of the proportion using the formula SE = sqrt(p-hat * (1 - p-hat) / n). In this case, SE = sqrt(0.64 * (1 - 0.64) / 100) ≈ 0.048.

4. Find the critical value (z) for the 95% confidence interval. For a 95% confidence interval, the z-score is approximately 1.96.

5. Calculate the margin of error (ME) using the formula ME = z * SE. In this case, ME = 1.96 * 0.048 ≈ 0.094.

6. Finally, calculate the 95% confidence interval for p using the formula p-hat ± ME. In this case, the interval is 0.64 ± 0.094, which is approximately (0.546, 0.734).

So, the 95% confidence interval for the proportion of all living alumni who favor firing the coach is approximately (0.546, 0.734).

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If you subtract 6 from b, it will be less than or equal to a is true.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The ordered pair (a,b) satisfies the inequality y < x + 6

b<a+6

We need to find which statement is true

If you subtract 6 from b, it will be less than or equal to a.

b-6<a+6

b-12<a

It is true.

If you add 6 to a, it will be greater than b.

b<a+6+6

b<a+12

b-12<a

If you add 6 to a, it will be less than b.

b<a+6+6

b<a+12

Hence, If you subtract 6 from b, it will be less than or equal to a is true.

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Answer:

18/60 or 3/10

Step-by-step explanation:

10+8+42=60

10+8=18

=18/60

or

18/6=3

60/6=10

=3/10

The measures in the circle given in the image above are calculated as:

1. m<PSQ = 130°;   2. m<AQS = 30°; 3. m(QR) = 100°; 4. m(PS) = 110°; 5. (RS) = 70°.

In order to find the measures in the circle shown, recall that according to the inscribed angle theorem, the measure of intercepted arc is equal to the central angle, but is twice the measure of the inscribed angle.

1. m<PSQ = m<PAQ

Substitute:

m<PSQ = 130°

2. Find m<PBQ:

m<PBQ = 1/2(m(PQ) + m(RS)) [based on the angles of intersecting chords theorem]

Substitute:

m<PBQ = 1/2(130 + 2(35))

m<PBQ = 100°

m<AQS = 180 - [m<BAQ + m<PBQ]

Substitute:

m<AQS = 180 - [(180 - 130) + 100]

m<AQS = 30°

3. m(QR) = m<QAR

Substitute:

m(QR) = 100°

4. m(PS) = 180 - m(RS)

Substitute:

m(PS) = 180 - 2(35)

m(PS) = 110°

5. m(RS) = 2(35)

m(RS) = 70°

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Answer:

switched signs around

Step-by-step explanation:

I believe that s/he switched the signs around so

|x|>5 is solved by x<-5 and x>5

but I'm not quite sure, sorry

This indicates that the average number of hours worked by the part-time employees is 17.5 hours per week.

This indicates that the average number of hours worked by the part-time employees is 17.5 hours per week.

17.5 hour

Mean = (5x0.15) + (15x0.28) + (20x0.31) + (25x0.26) = 17.5 hours

The mean of the variable is calculated by multiplying the value of each individual category with its probability, and then summing the resulting values. In this case, the mean is calculated as (5x0.15) + (15x0.28) + (20x0.31) + (25x0.26) = 17.5 hours. This indicates that the average number of hours worked by the part-time employees is 17.5 hours per week.

the complete question is :

Consider the following table of hours worked by part-time employees. These employees must work in 5 hour blocks.Weekly hours worked Probability5 0.1515 0.2820 0.3125 0.26Find the mean of this variable.

Weekly hours   worked Probability

5                              0.15

15                            0.28

20                           0.31

25                           0.26

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The domain of the function shown in the graph above include the following: D. {x|x ≥ -4}.

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.

In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

By using set builder notation, the domain of this function shown in the graph above can be written as follows;

Domain = {-4, ∞}

Domain = {x|x ≥ -4}

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