There are 20 coin in a pot. The coin are 1p,2p,5p and 10p. A coin i taken at random from the pot. The probability that it i a 1p coin i 3/10. The probability that it i a 2p coin i 2/5. The total value of the coin in the pot i 57p. Work out how many of each type of coin there are in the pot

The function checks if the result for the current inputs has already been computed and stored in the `memo` cache. If so, it returns the cached result, otherwise it calculates the result using the recursive definition of the Bessel polynomials and stores the result in the `memo` cache for future use.

Memoization is a technique where we store the results of expensive function calls and return the cached result when the same inputs occur again. Here's a recursive function that uses memoization to calculate the n-th Bessel polynomial at x:

```
memo = {}  # Memoization cache

def B(n, x):
   if n == 0:
       return 1
   elif n == 1:
       return x + 1
   elif (n, x) in memo:
       return memo[(n, x)]
   else:
       result = (2 * n - 1) * x * B(n - 1, x) + B(n - 2, x)
       memo[(n, x)] = result
       return result
```

The function checks if the result for the current inputs has already been computed and stored in the `memo` cache. If so, it returns the cached result, otherwise it calculates the result using the recursive definition of the Bessel polynomials and stores the result in the `memo` cache for future use. This approach avoids redundant calculations and can significantly speed up the computation of Bessel polynomials for large values of n.

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Answer:

(2√5)/5

Explanation:

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION

From the question we can deduced that the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance, we can say that the y-coordinate, is twice of the horizontal, then let call the horizontal "y", the vertical would be 2y.

from the attachment the question on the unit circle is interpreted using a figure,then, hypotenuse was first calculated

Answer:

C, 2 sqrt 5 / 5

Answer:

616

Step-by-step explanation:

bc you just need to mulitply 14*88 and get the answer which is 1232 then you divided that by 2 and you get your answer

Answer:

radius is about 1.0004025

Step-by-step explanation:

Curved surface area (i'm assuming lateral) is circumference*height.

So circumference = 88/14

circumference = 2pi*radius

Sp radius = 88/(14*2pi)

About 1.0004025

Or you could know that lateral surface area = 2pi*r*h

88 = 2pi*14*r

r = 88/(28pi)

Greetings from Brasil...

Since Q is the central point of PR, then PQ = QR and PQ = PR/2 or QR = PR/2

QR = PR/2

PR = 2 · QR

9X - 31 = 2 · 43

The value of x is 13.

A line segment is basically a line which has two end points.

A line has always a linear equation which has highest degree of 1

According the given question

Line segment is PR and midpoint is Q

Given QR = 43 which one end to the midpoint

∴ Total length of the line segment is 2×43

= 86

Given PR = 9x - 31 which is the total length of the line segment.

∴ 9x - 31 = 86

  9x = 86 + 31

  9x = 117

    x = 117/9

    x = 13.

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It is given that 50 students received a grade of b out of the 200 students over all, so the cumulative frequency is 0.25

Cumulative frequency analysis examines the frequency of occurrence of values of a phenomenon that are less than a reference value. The phenomenon might depend on time or place. Another name for cumulative frequency is frequency of non-exceedance.

To learn how frequently a specific phenomenon (feature) falls below a specific value, cumulative frequency analysis is used. This could be useful when describing or explaining a scenario involving the phenomenon or when organizing interventions.

Based on how frequently an event—like a flood—has occurred in the past, one can use this statistical technique to determine how likely it is that it will occur again in the future.

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Answer:

y=16, x=24

Step-by-step explanation:

First simplify: x-(1/2x+4)=8

Isolate x for 1/2x-4=8

Add 4 to both sides:

1/2-4+4=8+4

Simplify :1/2=12

Multiply both sides by 2:

2*1/2x=12*2

Simplify:

x=24

Substitute x=24:

y=1/2*24+4

1/2*24+4=16

1/2*24=12

12+4

Add the numbers: 12+4=16

y=16

The solutions to the systems of equations are:

y=16,x=24

The probability of selecting all three purple balls is 0.1429 or approximately 14.29%.

To find the probability that all three balls are purple, we need to use the formula for the probability of the intersection of three events:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B)

where A, B, and C are the events of drawing a purple ball from the bag on the first, second, and third draws, respectively.

The probability of drawing a purple ball on the first draw is:

P(A) = number of purple balls / total number of balls = 9 / 15

After drawing a purple ball on the first draw, there are now 8 purple balls left in the bag out of a total of 14 balls, so the probability of drawing a purple ball on the second draw, given that a purple ball was drawn on the first draw, is:

P(B|A) = number of purple balls left / total number of balls left = 8 / 14

After drawing two purple balls, there are now 7 purple balls left in the bag out of a total of 13 balls, so the probability of drawing a purple ball on the third draw, given that two purple balls were drawn on the first two draws, is:

P(C|A and B) = number of purple balls left / total number of balls left = 7 / 13

Therefore, the probability of drawing three purple balls in a row is:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B) = (9 / 15) x (8 / 14) x (7 / 13) = 0.1429 or approximately 14.29%

So, the probability of selecting all three purple balls is 0.1429 or approximately 14.29%.

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The value of q is -27.

Recall Vieta's Formulas, which state that for a quadratic equation \(ax^2\) + bx + c = 0 with zeroes alpha and beta, the sum of the zeroes is equal to -b/a, and the product of the zeroes is equal to c/a.

In our equation \(x^2\) - 3x + q, the sum of the zeroes alpha and beta is -(-3)/1 = 3.

We are given that 2 alpha + 3 beta = 15. Substitute alpha = (15 - 3 beta)/2 into the equation.

Replace the value of alpha in the sum of zeroes equation: (15 - 3 beta)/2 + beta = 3.

Simplify the equation by multiplying both sides by 2: 15 - 3 beta + 2 beta = 6.

Combine like terms: 15 - beta = 6.

Subtract 15 from both sides: -beta = -9.

Multiply both sides by -1 to solve for beta: beta = 9.

Substitute the value of beta into the sum of zeroes equation: alpha = (15 - 3 * 9)/2 = -3.

Since we have the values of alpha and beta, we can find q using the product of the zeroes formula: q = alpha * beta = -3 * 9 = -27.

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Answer:

16 km !

Step-by-step explanation:

all the others are FAR too small.. they wouldnt even be one story up ! and 16m  isnt 5 stories either... km would be right !

i hope this helps !!

The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.

Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.

In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.

This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.

However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.

As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.

As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.

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Answer:

sum of digit:2+1+4+4+6+7+6+5+4=39 . Which is not divisible by 9

Answer:

b=3

Step-by-step explanation:

-7+1/3b=-6

+7         +7

1/3b=1

*3    *3

b=3

Answer:

c = 32

Step-by-step explanation:

90 + 58 + c = 180

90 + 58 = 148

180 - 148 = 32

c = 32

Answer:

32

Step-by-step explanation:

As we know the total degree of a triangle is 180 degrees.

In this triangle so far we have a 58 degree and 90 degree box since its a right triangle so we have to take:

58 + 90 = 148

After taking 148 we have to subtract the 180 to find the missing number that will help us complete everything:

180 - 148 = 32

Answer:

Did you try looking it up

Step-by-step explanation:

sorry If I am wrong and don't forget to make me brainliest

The numbers that will work are all numbers less than 12

The statement is given as:

One half of a number is more than six less than the same number

Let the number be represented with x

So, the mathematical expression is

1/2x > x - 6

Subtract x from both sides

-1/2x > -6

Multiply both sides by -2

x < 12

Hence, the numbers that will work are all numbers less than 12

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Answer:

=17x²-x

Step-by-step explanation:

=x.(9x²+18x-x-2)-x.(9x²-1)

=x.(9x²+17x-2-9x²+1)

=x.(17x-1)

=17x²-x

The solution in interval notation b ∈ (-∞ , -7)

-5 times b is no less than 35.

5b  ≥ 35

n order to isolate the variable in this linear inequality, we need to get rid of the coefficient that multiplies it.

-\(\frac{5b}{5} = \frac{-35}{5}\)

This can be accomplished if both sides are divided by .

Notice that the inequality sign has changed.

b ≤ -7

We need to reduce this fraction to the lowest terms.

This can be done by dividing out those factors that appear both in the numerator and in the denominator.

In our example, this is the common factor:5

b ∈ (-∞ , -7)

We have already found the solution to the inequality, but since we want to represent the solution in interval notation, we have changed it.

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Answer:

Simply y= Mx + c

M = -5/4

x = -8

y = 1

1 = 10 + c

c = -9

Step-by-step explanation:

Answer:

The graph g(x) is shifted vertically up by 3 units.

The graph of g(x) is shifted horizontaly left by 2 units.

Step-by-step explanation:

Answer:

Well, the first thing you must do is find the slope

(0,2) (1,-3) I am going to make x1= 0, y1=2, x2=1 and y2= -3

Now, I am going to use the formula for the slope, which is

y2-y1/(x2-x1)

[-3-2]/(1-0)= -5/1 or just -1

Next, I am going to use the point slope form, which is

y-y1=m(x-x1). m=5, x1=0, y1=2

y-2= -5(x-0)

y-2=-5x

+2 +2

y= -5x+2 This is the slope intercept form.

we are done. I am glad to see that you are doing math on a Saturday night.. Good luck... Please rate my answer:)

Answer:

\(y= 2x - 3\)

Step-by-step explanation:

Find the slope of The two points: Slope: 2

Now, make a equation to find the y- intercept:

( Replace the y and x with one of the points you have...)

\(1=2 x 2 + b\)

\(-3 = b\)

Answer:

She is 30

Explanation:

Because if you read it right it says "Emmett is 4 years older than Liam." Also you had a grammar error in it.

The house was in the shape of an octagon, with eight separate bedrooms on each side.

The house described in the statement has an octagonal shape. An octagon is a polygon with eight sides, characterized by its eight equal angles. In this case, each side of the house corresponds to one of these angles, resulting in eight separate bedrooms on each side of the octagonal structure.

The choice of an octagon as the shape of the house can have various implications. Octagonal buildings are often admired for their unique architectural design and aesthetic appeal. The shape provides symmetry and balance, allowing for an interesting and visually pleasing structure. Additionally, an octagonal layout can offer practical advantages in terms of space utilization and room distribution. In the case of the house described, each side of the octagon accommodates a separate bedroom, providing privacy and ample living space for its occupants. The symmetrical arrangement of the bedrooms around the central area of the house could create a harmonious and well-organized living environment. Overall, the octagonal shape of the house with eight separate bedrooms on each side offers both architectural and functional benefits.

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Interpreting a p-value in the context of a word problem involves understanding its significance and its relationship to the hypothesis being tested.

The p-value represents the probability of obtaining the observed data (or more extreme) if the null hypothesis is true.

Here are a few examples of interpreting p-values in different scenarios:

1. Hypothesis Testing Example:

Suppose you are conducting a study to test whether a new drug is effective in reducing blood pressure.

The null hypothesis (H0) states that the drug has no effect, while the alternative hypothesis (Ha) states that the drug does have an effect.

After conducting the study, you calculate a p-value of 0.02.

Interpretation: The p-value of 0.02 indicates that if the null hypothesis (no effect) is true, there is a 2% chance of observing the data (or more extreme) that you obtained.

Since this p-value is below the conventional significance level of 0.05, you would reject the null hypothesis and conclude that there is evidence to support the effectiveness of the drug in reducing blood pressure.

2. Acceptance Region Example:

Consider a manufacturing process that produces light bulbs, and the company claims that the defect rate is less than 5%.

To test this claim, a sample of 200 light bulbs is taken, and 14 of them are found to be defective.

The hypothesis test yields a p-value of 0.12.

Interpretation: The p-value of 0.12 indicates that if the true defect rate is less than 5%, there is a 12% chance of obtaining a sample with 14 or more defective light bulbs.

Since this p-value is greater than the significance level of 0.05, you would fail to reject the null hypothesis.

There is not enough evidence to conclude that the defect rate is different from the claimed value of less than 5%.

3. Correlation Example:

Suppose you are analyzing the relationship between study time and exam scores.

You calculate the correlation coefficient and obtain a p-value of 0.001.

Interpretation: The p-value of 0.001 indicates that if there is truly no correlation between study time and exam scores in the population, there is only a 0.1% chance of obtaining a sample with the observed correlation coefficient.

This p-value is very low, suggesting strong evidence of a significant correlation between study time and exam scores.

In all these examples, the p-value is used to assess the strength of evidence against the null hypothesis.

It helps determine whether the observed data supports or contradicts the hypothesis being tested.

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To solve this we must be knowing each and every concept related to exponential decay and its calculations. Therefore, y=a.b(x) with o<b<1 is the equations that  best describes exponential decay. The correct option is option A.

Exponential decay is indeed a scalar many of the exponential function, which has a known expected value (i.e. the individual lifespan of each item is exponentially distributed).

It may be stated as y=a(1-b)x, where y seems to be the ultimate amount, an is indeed the initial amount, b is indeed the decay factor, as well as x seems to be the time elapsed. y=a.b(x) with o<b<1 is the equations that  best describes exponential decay.

Therefore, y=a.b(x) with o<b<1 is the equations that  best describes exponential decay. The correct option is option A.

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Answer:

28/15

Step-by-step explanation:

The function is a sine function and, the height of the ball at equilibrium is a feet

The function of the height is given as:

h = a sin(b (t - h)) k

The above function is a sine function, and the amplitude of the function is the variable a

The amplitude is the height of the ball at equilibrium

Hence, the height of the ball at equilibrium is a feet

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Answer:

D

Step-by-step explanation:

Answer:

20/81

Step-by-step explanation:

We need to multiply both probabilities to determine the probability of the events happening. There's a 5/9 chance for the first event and a 4/9 chance for the second one. Multiply them together and you get 20/81

The riddle mentioned in the question is about a farmer who is traveling along with a sack of rye, a goose, and a mischievous dog.

He comes to a river that he must cross from east to west, and there is a boat available to do so.  Therefore, the farmer takes the goose back to the east side and leaves it there. He then takes the sack of rye across the river, drops it off with the dog, and goes back to the east side to pick up the goose. In this manner, all of the farmer's possessions can be safely transported across the river without any of them being lost to the dog or the goose.This riddle is a classic example of a type of logical puzzle known as a "transport problem."

The goal of a transport problem is to determine how to transport one or more objects from one location to another while satisfying certain constraints, such as the size of the transport vehicle or the safety of the objects being transported.

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