Finding a polynomial of a given degree with given zeros....

V

Find a polynomial f (x) of degree 3 with real coefficients and the following zeros.

-4, 2i

Answer:

160cm²

Step-by-step explanation:

To find the surface area of this prism, you just need to add up the areas of each side. To simplify the calculations a bit, we can take multiples of the sides which are the same. For example, here we have two equal trapezoids on each end, so we can multiply the area by two when adding.

The work is in the attachment.

Answer:

197

Step-by-step explanation:

The average number of medals won for the top ten total number of medals awarded at the 1996 summer olympic games in Atlanta Georgia is 46.7.

The top ten total number of medals awarded at the 1996 summer Olympic games in Atlanta Georgia include:

USA - 101

Russia - 63

Germany - 65

China - 50

France - 37

Italy - 35

Australia - 41

Cuba - 25

Ukraine - 23

South Korea - 27

Therefore, it should be noted that the average will be the addition of the numbers divided by 10. This will be:

= (101 + 63 + 65 + 50 + 37 + 35 + 41 + 25 + 23 + 27)/10

= 467/10

= 46.7

Therefore the mean of the number of medals won is 46.7.

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Answer:

It will experience a low tide because water is drawn away from the area between the high tides.

Explanation:

The oceans on earth bulge outwards towards the sun and moon due to gravitational pull. This building is highest when the moon and sun are in line (same plane). The coastline within this plane will experience high tides while those at the right angle will have the lowest tides.  

Si tu tía Juana tiene 3/5 de una bolsa de dulces y los quiere repartir entre tú y tu prima, podemos dividir equitativamente la bolsa en partes iguales para cada una.

Para calcular la parte que les corresponde a cada una, dividimos 3/5 entre 2, ya que son dos personas.

3/5 ÷ 2 = 3/5 x 1/2 = 3/10

Entonces, a cada una les corresponde 3/10 de la bolsa de dulces.

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Answer:

5.53 * 10^-1

Step-by-step explanation:

[(6.8 * 10^3) - (7.2 * 10^2)] ÷ 1.1 * 10^4

(6800 - 720) ÷ 11000

6080 ÷ 11000

6.08 * 10^3 ÷ 1.1 * 10^4

(6.08 ÷ 1.1) * 10^3-4

5.527 * 10^-1

= 5.53 * 10^-1

Polynomials are  closed under the operations of addition, subtraction, and multiplication, polynomials constitute a system similar to that of integers.

Polynomial exponents are whole numbers.

The fact that addition is closed for the whole numbers ensures that the resultant exponents will also be whole numbers. Polynomials are hence closed under addition.

Polynomials will be closed under an operation if the operation produces another polynomial.

If we subtract 2 polynomials, the result is a polynomial. Therefore, they are also closed under subtraction.

Polynomials are an algebraic equation that has more than two terms, particularly the accumulation of numerous phrases that each include a different power of the same variable (s).

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a) The probability of having two flaws in one square meter of cloth is 0.0044. b) The probability of having one flaw in 10 square meters of cloth is 0.0360. c) The probability of having no flaws in 20 square meters of cloth is 0.1653. d) The probability of having at least two flaws in 10 square meters of cloth is 0.0337.

a) The Poisson distribution is used to model the number of flaws in bolts of cloth. The mean is given as 0.08 flaws per square meter. Using the formula for the Poisson distribution, we can calculate the probability of having two flaws in one square meter of cloth. The formula is P(X = k) = (e^(-λ) * λ^k) / k!, where λ is the mean and k is the number of flaws. Plugging in the values, we get \(P(X = 2) = (e^(-0.08) * 0.08^2) / 2! ≈ 0.0044.\)

b) To find the probability of having one flaw in 10 square meters of cloth, we need to consider the rate per square meter. Since the mean is given as 0.08 flaws per square meter, the mean for 10 square meters would be 0.08 * 10 = 0.8. Using the same Poisson formula, we calculate P(X = 1) = \((e^(-0.8) * 0.8^1) / 1! ≈ 0.0360.\)

c) For the probability of having no flaws in 20 square meters of cloth, we can again use the Poisson formula with the mean adjusted for the area. The mean for 20 square meters is 0.08 * 20 = 1.6. Plugging the values into the formula, we get \(P(X = 0) = (e^(-1.6) * 1.6^0) / 0! ≈ 0.1653.\)

d) To find the probability of having at least two flaws in 10 square meters of cloth, we can calculate the complement of the probability of having zero or one flaw. Using the same mean of 0.8, we can calculate P(X ≤ 1) and subtract it from 1 to get the desired probability. P(X ≤ 1) = P(X = 0) + P(X = 1) ≈ 0.2018. Therefore, P(X ≥ 2) ≈ 1 - 0.2018 = 0.7982.

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Answer:

x = 1°

Step-by-step explanation:

Bisection means splitting the angle in to 2

So that means 4x-1 = 2x+1

4x-1 = 2x +1

4x = 2x + 2

2x = 2

x = 1°

If my answer is incorrect, pls correct me!

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-Chetan K

So the temperature in City A was 8A C and the temperature in City B was y = x + 1 = 8 + 1 = 9A C.

The problem can be solved by setting up an equation using the information given. Let's call the temperature of City A "x" and the temperature of City B "y". We can then write two equations based on the information given:

4x = 3y + 8

x - 2y = -3

We can use substitution to solve for one of the variables and then use that information to solve for the other. For example, we can substitute 3y + 8 for 4x in the second equation:

x - 2y = -3

x - 2y = 3y + 8 - 3

x - 2y = 3y + 5

x - 5y = 5

We can then solve for y by multiplying both sides of the equation by -1/5:

-5x + 5y = -5

5y = 5x + 5

y = x + 1

We can then substitute this expression for y into one of the original equations and solve for x:

4x = 3(x + 1) + 8

4x = 3x + 3 + 8

x = 8

So the temperature in City A was 8A C and the temperature in City B was y = x + 1 = 8 + 1 = 9A C.

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The figure consists of dodecahedrons having different edge length, e.

The external volume, \( V_{e}\), is given by the formula;

The internal volume, \( V_{i}\), is given by the formula;

The given figures consists of solids that are pentagonal faced.

The number of faces of the solid = 12

The shape of the solids are known as a dodecahedron

The formula for the external volume, \( V_{r}\), is given as follows;

\(V_e = \frac{15 + 7 \cdot \sqrt{5} }{4} \cdot {e_e}^{3} \)

Where;

\( e_{e}\) = The length of the edges on the outside of the dodecahedron.

Given that the length of the edges on the inside are measured to be \( e_{i}\), the internal volume is given by the formula;

\( V_i = \frac{15 + 7 \cdot \sqrt{5} }{4} \cdot {e_i}^{3} \)

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Answer:

4/6 , 8/12, etc

Step-by-step explanation:

A fraction that can be equivalent to 2/3 is 4/6 or 8/12

This is because if you were to multiply 2/3 by 2/2 you multiplied by the same amount and also the product of that can be simplified to 2/3s.

Answer:

60.3

Step-by-step explanation:

hope this helps

The conductance of a conductor is inversely related to the cross-sectional area of the conductor.

Conductance is directly related to the ease offered by any material to the passage of electric current. Conductance is the opposite of resistance. The higher the conductance, the lower the resistance, and vice versa, the greater the resistance, the less conductance, so both are inversely proportional

Which of the following describes the relationship of conductance to a conductor?

The conductance of a conductor is directly proportional to the length of the conductor.

The conductance of a conductor is directly proportional to the cross-sectional area of the conductor.

The conductance of a conductor is inversely proportional to the square of the length of the conductor.

The conductance of a conductor is inversely proportional to the cross-sectional area of the conductor.

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The equation of the first graph is

y > 2x - 4

The equation of the first graph is

y ≥ -x + 4

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

The slope is represented as m, The slope by definition is the ratio change of the output values to the input values

the slope, m calculating using the points on the graph (0, -4) and  (2, 0)

m = (y₀ - y₁) / (x₀ - x₁)

m = (-4 - 0) / (0 - 2)

m = (-4) / (-2)

m = 2

c = y intercept, from the graph

c = -4

The equation of the line is y = 2x - 4

shading above the line is greater than and dotted lines means it does not have equal to

hence y > 2x - 4

for the second graph

the slope, m calculating using the points on the graph (0, 4) and  (4, 0)

m = (y₀ - y₁) / (x₀ - x₁)

m = (4 - 0) / (0 - 4)

m = (4) / (-4)

m = -1

c = y intercept, from the graph

c = 4

The equation of the line is y = -x + 4

shading above the line is greater than and solid lines means there is equal to in the inequality

hence y ≥ -x + 4

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Numerical, continuous, because expected time until return is measured in numerical units such as hours, minutes, or seconds, and is a continuous measurement that can have any value from zero to infinity.

Numerical, continuous is the correct answer because expected time until return is a numerical measurement, meaning it is measured in numerical units such as hours, minutes, or seconds. It is also continuous, which means it can have any value from zero to infinity. This is different from categorical variables, which are divided into a finite number of distinct categories, and numerical, discrete variables, which are divided into a finite number of numerical values. For example, a numerical, discrete variable might measure a person's age in years, while a numerical, continuous variable might measure a person's height in inches. In this case, the expected time until return is a numerical, continuous variable because it can have any value from zero to infinity.

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The cumulative frequency of the numbers 6-10 is thus 2 + 0 + 1 + 1 + 0 = 4.

To determine the frequency of the numbers 6-10 in this stem-and-leaf plot, examine the second row, which has a stem of 1 and leaves of 0 0 2 3 6 6. This row displays the digits 10, 10, 12, 13, 16, and 16, which correspond to 6 students who sold between ten and nineteen lollipops.

Because 2 of these 6 pupils sold exactly six lollipops (represented by leaf 06), the frequency of the number six is two.

There are no students who sold 7 lollipops exactly.

Because one kid sold exactly eight lollipops (represented by the leaf 08), the number 8 has a frequency of one.

One student sold exactly nine lollipops (represented by the number 9) As a result, the frequency of the number 9 is 1.

Zero students sold a total of ten lollipops.

The cumulative frequency of the numbers 6-10 is thus 2 + 0 + 1 + 1 + 0 = 4.

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The angles that make up a kite are 1, 2, 3, 4, 5, 6, and 7. Angle 1 is the interior angle between sides 1 and 2. Angle 2 is the interior angle between sides 2 and 3.

Angle 3 is the interior angle between sides 3 and 4. Angle 4 is the exterior angle between sides 4 and 1. Angle 5 is the interior angle between sides 1 and 3. Angle 6 is the exterior angle between sides 2 and 4. Angle 7 is the interior angle between sides 2 and 4.

An angle is a figure formed by two lines that meet at a common point. The lines are called the arms of the angle, and the common point is called the vertex. Angles are usually measured in degrees, with a full circle being 360°.

A kite is a four-sided geometric shape with two pairs of adjacent equal-length sides. The missing values for each angle in the kite can be calculated using the formula:

Angle 1 + Angle 2 + Angle 3 + Angle 4 + Angle 5 + Angle 6 + Angle 7 = 360 degrees

For example, if angle 1 is 60 degrees, then angle 2 = 120 degrees, angle 3 = 120 degrees, angle 4 = 60 degrees, angle 5 = 120 degrees, angle 6 = 60 degrees, and angle 7 = 60 degrees.

In general, the sum of the interior angles of a kite will equal 360 degrees, and each interior angle will be equal to the sum of the exterior angles. Therefore, if the values of four of the angles are known, the remaining angles can be calculated by subtracting the known angles from 360 degrees.

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The difference in the account balances at the end of the loan terms is given as follows:

$1,686.87.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

The parameters for the offer 2 are given as follows:

P = 75000, r = 0.035, n = 12, t = 62/12.

Hence the balance of the offer 2 is given as follows:

B = 75000 x (1 + 0.035/12)^(12 x 62/12)

B = $89,842.51.

The balance of Offer 1 is of $91,529.38, hence the difference in the balances is given as follows:

91529.38 - 89842.51 = $1,686.87.

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Answer:

1

Step-by-step explanation:

extending answer to be able to send

Answer:

0.9

Step-by-step explanation:

There is not even half of 10 hundredths to make another tenth. Therefore, 0.81 is closer to 0.8 than it is to 0.9. 0.81 becomes 0.8, rounded off to the nearest tenth.

Using the relation between velocity, distance and time, it is found that the average speed of the record winner of the wheelchair division was of 20.04 miles per hour.

"The record for the Boston Marathon’s wheelchair division is 1 hour,

18 minutes, and 27 seconds.

The Boston Marathon is 26.2 miles long. What was the average speed of the record winner of the wheelchair division?"

Velocity is distance divided by time, that is:

v = d/t.

For this problem, we have that:

Hence the velocity is given by:

v = 26.2/1.3075 = 20.04 miles per hour.

The average speed of the record winner of the wheelchair division was of 20.04 miles per hour.

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By elimination:

y = 3x - 1

y = 2x + 2

Subtract the second equation from the first

0 = x - 1

y = 2x + 2

Subtract the first equation from the second

0 = x - 1

y = x + 3

Subtract the first equation from the second again

0 = x - 1

y =      4

Subtract x from both sides of the first equation

- x =  - 1

y =      4

Divide the first equation by (-1)    

x =  1

y =  4

The length of AD is approximately 17.021 units.In a right triangle ABC with altitude BD drawn to hypotenuse AC, we are given that BD = 15 and DC = 45. We need to find the length of AD.

Since BD is the altitude, it divides the right triangle into two smaller triangles: ABD and CBD.

Using the properties of similar triangles, we can set up the following proportion:

AD/AB = DC/BC

Plugging in the given values, we have:

AD/AB = 45/60

Simplifying the proportion, we get:

AD/AB = 3/4

We can rewrite this equation as:

AD = (3/4) * AB

Now, let's consider triangle ABD. It is a right triangle, and we know that BD = 15.

Using the Pythagorean theorem, we have:

AB^2 = AD^2 + BD^2

Substituting the value of BD, we get:

AB^2 = AD^2 + 15^2

Since we want to find the length of AD, we rearrange the equation as:

AD^2 = AB^2 - 15^2

Substituting the value of AD from our previous equation, we have:

(3/4)^2 * AB^2 = AB^2 - 225

Expanding and simplifying, we get:

9/16 * AB^2 = AB^2 - 225

Cross-multiplying and rearranging, we have:

7 * AB^2 = 3600

Dividing both sides by 7, we find:

AB^2 = 514.2857

Taking the square root of both sides, we get:

AB ≈ 22.695

Finally, substituting this value back into our equation for AD, we have:

AD ≈ (3/4) * 22.695

AD ≈ 17.021

Therefore, the length of AD is approximately 17.021 units.

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The parameter u in a paired t procedure represents the mean difference in the responses to the two groups within pairs of subjects in the entire population.

This means that u captures the average change or effect observed when comparing the two related groups.

To elaborate further:

The parameter u represents a specific measure of interest in a paired t procedure.  In a paired t procedure, the data consists of paired observations, where each observation is made on the same subject or item under different conditions.

The parameter u represents the mean difference between the paired observations for the entire population. It quantifies the average change or effect observed between the two groups being compared within the pairs of subjects. By estimating the value of u from a sample, we can make inferences about the population parameter and test hypotheses regarding the difference between the two groups.

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Answer:

Step-by-step explanation:

0.32142857142

Answer:

-6/7*-3/8= -18/56= -9/28

hope it is right answer for it!!

Answer:

She will have time to grade all of them.

Step-by-step explanation:

It would take her 2.7 to grade all the test.

Each individual result of a probability experiment is called an "outcome" (d).

An outcome refers to a specific result or occurrence that can happen when conducting a probability experiment. It represents the different possibilities or potential results of an experiment.

For example, when flipping a fair coin, the possible outcomes are "heads" or "tails." In this case, "heads" and "tails" are the two distinct outcomes of the experiment.

Similarly, when rolling a fair six-sided die, the possible outcomes are the numbers 1, 2, 3, 4, 5, or 6. Each number represents a different outcome that can occur when rolling the die.

In summary, an outcome is a specific result or occurrence that can happen during a probability experiment. It is essential to understand outcomes as they form the basis for calculating probabilities and analyzing the likelihood of different events occurring.

Thus, each individual result of a probability experiment is called an "outcome" (d).

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The least common denominator of the fractions 1/4 and 3 /10 is 20

The least common denominator is defined as the smallest number that can serve as a common denominator for a group of fractions.

The smallest number that may be used as the denominator to produce a group of comparable fractions that all have the same denominator is known as the lowest common denominator.

From the information given, we have the fractions as;

1/4 and 3/10

Add the fractions

1/4 + 3/10

Then, the lowest common denominator is 20

The value is 20

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Answer:

2?

Step-by-step explanation: