you are given access to a black box oracle for a polynomial p that takes in an input x and returns p(x). the polynomial is of unknown degree and has positive integer coefficients. give a procedure of some sort to compute what the polynomial is using only two evaluations of the black box

Answer:

Step-by-step explanation:

The most appropriate choice of volume of a cone is given by-

\(h=\frac{3v}{\pi r^{2} }\)

What is volume of a cone?

The volume of a cone is the amount of space occupied by the cone.

Volume of a cone is given by the formula

\(V=\frac{1}{3} \pi r^{2} h\)

Where, r is the radius of cone and h is the height of the cone.

Here,

\(V=\frac{1}{3} \pi r^{2} h\\3V=\pi r^2h\\h=\frac{3V}{\pi r^2}\)

To learn more about volume of a cone, refer to the link:

https://brainly.com/question/28109167

#SPJ9

Answer:

130kg

Step-by-step explanation:

30% of 100 is 30

Answer:

133

Step-by-step explanation:

100/30 = 33.333

100+33=133

Answer:

=-1

Step-by-step explanation:

-10+2d=8

-10 from 8

2d=-2

divode both sides by 2

d=-1

Answer:

1234minutos de los pobres de los pinzones

Answer: m∠5 = 75°.

Step-by-step explanation:

We know that lines A and B are parallel, and angles 1 and 5 are formed by the same line intersecting the parallel lines.

We know that:

"When a line intersects two parallel lines, corresponding angles are formed, such that we could think on four quadrants, the angles in each quadrant are equivalent between them"

Well, here we can see that angle ∠1 and angle ∠5 are formed by the same line, and both are in the same quadrant (would be the third quadrant if we use standard notation)

Then the measure of ∠1 is the same as the measure of ∠5

And we know that m∠1 = 75°

Then we must have that m∠5 = 75°.

The given statement " When the film is placed into the XCP (extension cone paralleling) holder with the smooth side of the film towards the throat, after processing, it will appear darker" is false because it will  lighter, not darker.

The smooth side of the film is the side that interacts with the X-ray radiation and receives the image, while the emulsion side contains the light-sensitive crystals that react to the radiation.

Placing the smooth side towards the throat ensures that the image is sharp and clear, as the X-ray beam travels through the teeth and soft tissues before reaching the film.

After processing, the exposed areas of the film turn dark, representing the captured X-ray image, while the unexposed areas remain light or clear.

Know more about  X-ray image   here:

https://brainly.com/question/29127698

#SPJ11

Answer:

9(2p-4)

Step-by-step explanation:

Took the test, Hopefully this helps

Answer:

I think its A because that was right for me

Thus, the p-value is greater than 0.10 (the significance level α), indicating that there is not enough evidence to support the alternative hypothesis.

To find the p-value, we need to calculate the test statistic and compare it to the critical value.

Given:

Sample 1: sample size (n1) = 22, variance (\(s_{1}^2\))

= 8, mean (x1(bar))

= 51

Sample 2: sample size (n2) = 20, variance (\(s_{2}^2)\)

= 11, mean (x2(bar))

= 50.5

To calculate the test statistic, we can use the formula for the difference in means:

t = (x1(bar) - x2(bar)) / √((\(s_{1}^2\)/n1) + (\(s_{2}^2\)/n2))

Substituting the given values:

t = (51 - 50.5) / √((8/22) + (11/20))

  = 0.5 / √(0.3636 + 0.55)

  = 0.5 / √0.9136

  ≈ 0.53

Now we need to find the degrees of freedom. For independent samples with equal variance, the degrees of freedom (df) can be calculated using the formula:

df = n1 + n2 - 2

Substituting the given values:

df = 22 + 20 - 2

  = 40

With α = 0.10, the critical value for a one-tailed test (upper tail) with 40 degrees of freedom is 1.684.

Now, we can determine the p-value. Since the alternative hypothesis is μ1 - μ2 > 0, we are conducting an upper-tailed test.

The p-value is the probability of obtaining a test statistic as extreme as the one observed (t = 0.53) under the null hypothesis.

By comparing the test statistic to the critical value, we can determine the conclusion:

Since the test statistic (0.53) is less than the critical value (1.684), we fail to reject the null hypothesis.

Therefore, the conclusion is: "We don't have enough evidence to conclude that the difference in means is > 0; therefore, H0 is not rejected."

To know more about statistic visit:

brainly.com/question/29342780

#SPJ11

Answer: D. quadratic

Step-by-step explanation:

Answer: it 3

Step-by-step explanation:

Answer:

n = 3200

Step-by-step explanation:

200 = 1000 - \(\frac{n}{4}\) ( subtract 1000 from both sides )

- 800 = - \(\frac{n}{4}\) ( multiply both sides by 4 to clear the fraction )

- 3200 = - n ( multiply both sides by - 1 )

n = 3200

The probability they choose all democrats is 0.01805

From the question, we have the following parameters that can be used in our computation:

Republicans = 11

Democrats = 8

Number of selections = 4

If the selected people are all democrats, then we have

P = P(Democrats) * P(Democrats | Democrats) in 4 places

using the above as a guide, we have the following:

P = 8/19 * 7/18 * 6/17 * 5/16

Evaluate

P = 0.01805

Hence, the probability they choose all democrats is 0.01805

Read more about probability at

https://brainly.com/question/31649379

#SPJ1

Answer:

The max revenue is acheived with 7  increases

Step-by-step explanation:

Revenue  =  Members  *  (Cost Per Member)

R  = (4600 - 200x) ( 9 + 1x)

Where x represents the number of $1  increases

Answer:

Company B

Step-by-step explanation:

A is $0.15/min

   because 76/500

B is $0.12/min

  because 54/450

Company B is cheaper so it would be the better deal

Answer: 160 pieces

Step-by-step explanation:

1. Convert each mixed number into an improper fraction

4 4/5 = 24/5

2. Convert to the least common denominator. In this case, the least common denominator would be 10. Since the denominator in 24/5 is 5, multiply this fraction by 2/2 to get the denominator to equal 10.

24/5 * 2/2 = 48/10

3. Divide 48/10 by 3/10, using the keep, change, flip method

48/10 * 10/3

Multiply the numerators and denominators together, respectively.

480/3

4. Simplify

480/3 = 160

There are 160 pieces.

Answer:

8/5 m.

Step-by-step explanation:

1. 4 4/5 = 24/5

2. 24/5 = 48/10

3.48/10 divided by 3/10 = 16/10

4. 16/10 simplified = 8/5

Answer:

2x+1 and the rest is 2x-5

Step-by-step explanation:

o-o

Step-by-step explanation:

Principle times rate times time

Principle equals 100. Rate equals 3.0%.Time equals 25 years. Then divide by hundred

Answer:

211.50

Step-by-step explanation:

Use the compound interest formula and substitute the given values:

A= $100( 1+0.03/12)^12(25)

Simplify using the order of operations:

A=$100( 1.0025)^300= $100(2.115019558)= $211.50

Answer:

The choice D.

\((3b - 1) {x}^{2} + 35x - c\)

Step-by-step explanation:

\(3x(bx + 10) - ( {x}^{2} - 5x + c) \\ \\( 3b {x}^{2} + 30x) + ( - {x}^{2} + 5x - c) \\ \\ 3b {x}^{2} - {x}^{2} + 35x - c \\ \\ = (3b - 1) {x}^{2} + 35x - c\)

I hope I helped you^_^

There are 2 cases

1. 5x-2 > 13 ---> x> 3

2. 5x-2 < -13 ----> x< -11/5

Answer:

151 cm² (i don't know what unit you were given so im going to use cm)

Step-by-step explanation:

Part One: finding the missing side (h)

h = a² = b² + c²

13² = 12² + c²

169 = 144 + c²

169 - 145 = c²

= 25

square root of 25 = c

5 = c

area of top triangular area = ½ b × h

= ½ × 12 × 5

= 30 cm²

Part Two

area of rectangle = l × b

= 12 × 8

= 96 cm²

Part Three

area of square = l × l

= 5 × 5

= 25 cm²

total surface area = (30 + 96 + 25) cm²

= 151 cm²

a) There are 36 possible sample points. b) The sample points are: (1,1), (1,2), (1,3), ..., (6,5), (6,6). c) The probability of obtaining a sum of 7 is 6/36 = 1/6. d) The probability of obtaining a sum of 9 or greater is 10/36 = 5/18.  e) The given statement " each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only five possible odd values (3, 5, 7, 9, and 11), the dice should show even values more often than odd values." is true. Because there are more ways to obtain even sums than odd sums. f) The method used to assign probabilities is the classical method.

There are 36 possible sample points in this experiment. (6 possible outcomes for the first die multiplied by 6 possible outcomes for the second die)

Sample points:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

The probability of obtaining a value of 7 is 6/36 or 1/6. This can be determined by counting the number of sample points that result in a sum of 7 (there are 6 of them) and dividing by the total number of sample points.

The probability of obtaining a value of 9 or greater is 10/36 or 5/18. This can be determined by counting the number of sample points that result in a sum of 9 or greater (there are 10 of them) and dividing by the total number of sample points.

Yes, we agree with this statement. There are more possible outcomes that result in an even sum than an odd sum. Specifically, there are 18 even sums and only 18 odd sums.

This is because an even sum can be obtained by either adding two even numbers, or adding an odd number and an even number (which gives an even result). An odd sum can only be obtained by adding an odd number and an even number.

We used the classical method to assign probabilities, which assumes that all outcomes are equally likely. This method works well for simple random experiments like rolling dice, but may not be appropriate for more complex experiments.

Other methods for assigning probabilities include the empirical method (based on observed frequencies in past data) and the subjective method (based on personal judgment or expert opinion).

To know more about probability:

https://brainly.com/question/11234923

#SPJ4

Answer:

1.9%.

Step-by-step explanation:

Answer:

\(\boxed{x = -31}\)

\(\boxed{y = -62}\)

\(\boxed{z = -6}}\)

Step-by-step explanation:

There are a couple of properties of parallelograms that can help solve for the unknowns

Using property 1 that opposite angles are equal we have:
-4x - 5 = 119

⇒  -4x = 119 + 5

⇒ -4x = 124

⇒ x = 124/-4

⇒ x = -31

Using property 2 that consecutive angles are supplementary on angles
(-y - 1)° and 119°:

(- y - 1) + 119 = 180

⇒ - y - 1 + 119 = 180

⇒ - y + 118 = 180

⇒ - y = 180 - 118

⇒ - y = 62

⇒ y = -62

Using property 2 for angles (-10z - 1)° and 119°
(-10z + 1) + 119 = 180

- 10z + 1 + 119 = 180

⇒ - 10z + 120 = 180

⇒ -10z = 180 - 120

⇒ -10z = 60

⇒ z = 60/-10

⇒ z = -6

Answer:

d only.

Step-by-step explanation:

lol i know ur map testing, i had the same question yesterday

The required integral is:\(∫0π​sinmπxsinnπxdx={0,,​m=nm=n​∫−ππ​sinnxsinnxdx={0,​m=n​\)

Given the integral:

∫0π​sinmπxsinnπxdx={0,,​m=nm=n

​∫−ππ​sinnxsinnxdx={0,​m=n

​We need to prove the integral equal to zero for all m and n.

For m ≠ n:

∫0π​sinmπxsinnπxdx

Now use trigonometric identity:

sinA sinB = (1/2)[cos(A-B)-cos(A+B)]

Substituting A= mπx and B = nπx, we have:

∫0π​sin(mπx)sin(nπx)dx= (1/2)

∫0π​cos[(m-n)πx]dx= 0

because cos[(m-n)πx] is an odd function and the limits of integration are symmetric about the origin.

For m = n: ∫-ππ​sinn2x dx

Here, we use the identity:

cos2x= 2cos^2 x -1

⇒cos^2 x= (1/2)(1+cos2x)

Substituting this value in the integral, we get:

∫-ππ​(1/2)(1-cos2x)n dx= (1/2)

∫-ππ​(1-cos2x)n dx

Expanding the binomial:

∫-ππ​1 - ncos2x + ... dx= π- n

∫-ππ​cos2x dx= π

if n is odd, and 0 if n is even.

Hence, the required integral is:∫0π​sinmπxsinnπxdx={0,,​m=nm=n​∫−ππ​sinnxsinnxdx={0,​m=n​.

Learn more about trigonometric identity visit:

brainly.com/question/12537661

#SPJ11

The equation which relates the x and y will be x² = 169 - y² according to the given triangle formed.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

As per the given,

Length of ladder = 13 foot

By Pythagoras's theorem,

x² + y² = 13²

x² = 169 - y²

Hence "The equation which relates the x and y will be x² = 169 - y² according to the given triangle formed".

For more information about triangles,

https://brainly.com/question/2773823

#SPJ1

Complete data of the question follows,

To construct a truth table for the given logical expression using De Morgan's Law, we'll break it down step by step and apply the law to simplify the expression.

Let's start with the given expression:

Xyz + X(Y Z)' + X'(Y + Z) + (Xyz)' (X + Y')(X' + Z')(Y' + Z')

Step 1: Apply De Morgan's Law to the term (Xyz)'

(Xyz)' becomes X' + y' + z'

After applying De Morgan's Law, the expression becomes:

Xyz + X(Y Z)' + X'(Y + Z) + (X' + y' + z')(X + Y')(X' + Z')(Y' + Z')

Step 2: Expand the expression by distributing terms:

Xyz + XY'Z' + XYZ' + X'Y + X'Z + X'Y' + X'Z' + y'z' + x'y'z' + x'z'y' + x'z'z' + xy'z' + xyz' + xyz'

Now we have the expanded expression. To construct the truth table, we'll create columns for the variables X, Y, Z, and the corresponding output column based on the expression.

The truth table will have 2^3 = 8 rows to account for all possible combinations of X, Y, and Z.

Here's the complete truth table:

```

| X | Y | Z | Output |

|---|---|---|--------|

| 0 | 0 | 0 |   0    |

| 0 | 0 | 1 |   0    |

| 0 | 1 | 0 |   0    |

| 0 | 1 | 1 |   1    |

| 1 | 0 | 0 |   0    |

| 1 | 0 | 1 |   0    |

| 1 | 1 | 0 |   1    |

| 1 | 1 | 1 |   1    |

```

In the "Output" column, we evaluate the given expression for each combination of X, Y, and Z. For example, when X = 0, Y = 0, and Z = 0, the output is 0. We repeat this process for all possible combinations to fill out the truth table.

Note: The logical operators used in the expression are:

- '+' represents the logical OR operation.

- ' ' represents the logical AND operation.

- ' ' represents the logical NOT operation.

to know more about expression visit:

brainly.com/question/30091641

#SPJ11

Plan A costs $12.60 ($11.40 for the wood and $1.20 for the cardboard label). Plan B costs $12.20 ($10.80 for the wood and $1.40 for the cardboard label).Thus, Plan B is more cost-effective than Plan A by $0.40.

The total area is 2(24) + 28 = 76 in².Plan B:The base of the box is a rectangle with a length of 9 in and a width of 5 in. The top of the box is a square with a side length of 4 in.

Thus, the length of the four lateral surfaces of the box is 2(9 + 5) = 28 in, and the length of the lateral surface of the top and bottom is 4 × 4 = 16 in. The total area is 2(28) + 16 = 72 in².2.

Plan A:The lateral surface area of the box is the area of all the surfaces except for the top and bottom. Thus, it is 4 × 6 = 24 in².Plan B:The lateral surface area of the box is the area of all the surfaces except for the top and bottom. Thus, it is 2(9 + 5) = 28 in².3. If it costs $0.15 per square inch for the wood, then

Plan A:The area of the wood required for the box is the same as the total surface area of the box. Thus, it is 76 in². The cost is 76 × 0.15 = $11.40.Plan B:The area of the wood required for the box is the same as the total surface area of the box.

Thus, it is 72 in². The cost is 72 × 0.15 = $10.80.4. If it costs $0.05 per square inch for the cardboard label, then what is the cost for plan A? Plan B?Plan A:The lateral surface area of the box is 24 in². The cost is 24 × 0.05 = $1.20.Plan B:The lateral surface area of the box is 28 in². The cost is 28 × 0.05 = $1.40.5.

To know more about costs visit:-

https://brainly.com/question/17120857

#SPJ11

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

To know more about Mean visit-

brainly.com/question/26062194

#SPJ11