a parabola has a focus at (-2,-5) and a directrix of x=6

Answer:

Kiki has 10 candy bars and plans to give 1/4 of a candy bar to each classmate. This means she will be able to give a piece of candy to 10 * 4 = 40 classmates.

Step-by-step explanation:

Answer:

The answer is -285

Step-by-step explanation:

When using a Taylor polynomial to estimate the probability that a value lies within two standard deviations of the mean, the result will depend on the specific function used to create the polynomial. However, in general, a Taylor polynomial can provide a good approximation of the function within a certain interval.

1. Identify the function: The probability distribution function for a normal distribution is given by the function f(x) = (1/σ√(2π)) * e^(-(x-μ)^2 / 2σ^2), where μ is the mean and σ is the standard deviation.

2. Determine the interval: Two standard deviations from the mean are represented by the interval [μ - 2σ, μ + 2σ].

3. Apply Taylor polynomial: Approximate f(x) using a Taylor polynomial centered at μ. The higher the degree of the polynomial, the more accurate the approximation.

4. Calculate probability: Integrate the Taylor polynomial over the interval [μ - 2σ, μ + 2σ] to estimate the probability.

5. Interpret the result: The estimated probability represents the likelihood that a value lies within two standard deviations of the mean in a normal distribution.

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Using production and geological data, the management of an oil company estimates that of will be purced from a producing fold at a rate given by the following 80 R() 1*8** Ost 15 Act) is the rate of production (in thousands of barres per your) t years after pumping begins. the approximate area of 189 square units represents an estimate of the total oil production in thousands of barrels over the given time interval.

To find the area between the graph of R(t) = 1 - 8^(-0.15t) and the x-axis over the interval (7, 421), we need to compute the definite integral of R(t) with respect to t over that interval.

The integral can be expressed as follows:

∫[7 to 421] R(t) dt = ∫[7 to 421] (1 - 8^(-0.15t)) dt.

To solve this integral, we can use integration techniques such as substitution or integration by parts. However, given the complexity of the integrand, it is more appropriate to use numerical methods or calculators to approximate the value.

Using numerical methods, the calculated area is approximately 189 square units.

Interpreting the results, the area between the graph of R(t) and the x-axis over the interval (7, 421) represents the cumulative production of the oil field during that time period. Since the integrand represents the rate of production in thousands of barrels per year, the area under the curve gives an estimate of the total number of barrels produced during the time span from 7 years to 421 years.

Therefore, the approximate area of 189 square units represents an estimate of the total oil production in thousands of barrels over the given time interval.

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Statistical procedures that summarize and describe a series of observations are called descriptive statistics.

Descriptive statistics involve various techniques and measures that aim to summarize and describe the key features of a dataset. These procedures include measures of central tendency, such as the mean, median, and mode, which provide information about the typical or average value of the data. Measures of dispersion, such as the range, variance, and standard deviation, quantify the spread or variability of the data points.
In addition to these measures, descriptive statistics also involve graphical representations, such as histograms, box plots, and scatter plots, which provide visual summaries of the data distribution and relationships between variables. These graphical tools help in identifying patterns, outliers, and the overall shape of the data.
Descriptive statistics play a crucial role in providing a concise summary of the data, enabling researchers and analysts to gain insights, make comparisons, and draw conclusions. They form the foundation for further statistical analysis and inferential techniques, which involve making inferences about a population based on a sample.

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Answer: 22 meters

Step-by-step explanation:

I dont need to show

The difference between 47kg and 8.23kg is 38.77kg.

To calculate the difference between the two weights, we can simply subtract the smaller weight from the larger weight. In this case, 47kg is the larger weight, and 8.23kg is the smaller weight.

Thus, the difference between the two weights is:

To find the difference between two values, you simply subtract one value from the other. In this case, to find the difference between 47kg and 8.23kg, we can subtract 8.23kg from 47kg.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

Diagram

Step 02:

a.

Big Rectangle Area = s²

= 7 cm * 5 cm

= 35 cm²

Triangle Area = (b * h) / 2

= (3 cm * 4 cm) / 2

= 12 cm² / 2 = 6 cm²

probability = Triangle Area / Big Rectangle Area

= 6 cm² / 35 cm² = 6 / 35 = 0.171

b.

Small Rectangle Area = s²

= 2 cm * 2 cm

= 4 cm²

Shaded region Area = Big Rectangle Area - Triangle Area - Small Rectangle Area

Shaded region Area = 35 cm² - 6 cm² - 4 cm² = 25 cm²

probability = Shaded region Area / Big Rectangle Area

= 25 cm² / 35 cm² = 25 / 35 = 5 / 7 = 0.714

The answer is:

a. probability = 6 / 35 = 0.171

b. probability = 5 / 7 = 0.714

Answer:

y=42+2x

Step-by-step explanation:

dfbfbdfbdvbdfb  |AKNSVODBVU

The value of variance in the above formula: σ(X) = √(b-a) / √12. This is our standard deviation (σ(X)).

The probability density function, over the given interval, can be found using the formula below:  

f(x) = 1 / (b - a) over [a, b]

Let's start with finding the expected value (E(X)).

Formula for E(X):

E(X) = ∫xf(x)dx over [a, b]

We can substitute f(x) with the formula we obtained in the question.  

E(X) = ∫x(1/(b-a))dx over [a, b]

Next, we can solve the above integral.

E(X) = [x²/2(b-a)] between limits a and b, which simplifies to:

E(X) = [b² - a²] / 2(b-a)  = (b+a)/2

This is our expected value (E(X)).

Next, we will find the expected value (E(X²)).

Formula for E(X²):E(X²) = ∫x²f(x)dx over [a, b]

Substituting f(x) in the above formula: E(X²) = ∫x²(1/(b-a))dx over [a, b]

Solving the above integral, we get:

E(X²) = [x³/3(b-a)] between limits a and b

E(X²) = [b³ - a³] / 3(b-a)  

= (b² + ab + a²) / 3

This is our expected value (E(X²)).

Now we can find the variance and standard deviation.

Variance: Var(X) = E(X²) - [E(X)]²

Substituting the values we have found:

Var(X) = (b² + ab + a²) / 3 - [(b+a)/2]²

Var(X) = (b² + ab + a²) / 3 - (b² + 2ab + a²) / 4

Var(X) = [(b-a)²]/12

This is our variance (Var(X)).

Standard deviation: σ(X) = √Var(X)

Substituting the value of variance in the above formula:

σ(X) = √(b-a) / √12

This is our standard deviation (σ(X)).

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Answer:

Simplifying

12x + 2y = 18

Solving

12x + 2y = 18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

12x + 2y + -2y = 18 + -2y

Combine like terms: 2y + -2y = 0

12x + 0 = 18 + -2y

12x = 18 + -2y

Divide each side by '12'.

x = 1.5 + -0.1666666667y

Simplifying

x = 1.5 + -0.1666666667y

Answer:

Hi

Step-by-step explanation:

First, you need to subtract both sides by 12x

12x+ 2y=18

-12x         -12x

That will give you: 2y= 18-12x

Next, you need to deviede both sides by 2

2y/2= 18-12x/2

That gives you the answer:

y= 18-6x

(im not 100%  sure but i think this is right, feel free to correct me)

The value is 24 square units is parallel to the face of the right rectangular prism.

We can see that the face of the given rectangular prism shows a width 4 and a height of 6. If we cut the figure at any point along the length 20, such that the cross-section is parallel to the face, the cross-section, which occurs at x length, will always have the same dimensions, which are 4 and 6.

So the area of the cross-section which is parallel to the face of the given rectangular prism is given by:

A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

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A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

Answer:

54 minutes

Step-by-step explanation:

4 Dozen is 48

So we will need to know how many 18 minutes it takes to back 144 donuts

So divide 144 by 48

Which is 3

So you will need 3, 18 minutes to make 144 donuts

Now multiply 18 by 3 which is 54

So it takes 54 minutes to bake 144 donuts

Hope this helps!

Step-by-step explanation:

4 Dozen = 4 x 12 = 48 every 18 minutes

144/48 = 3

3 x 18 = 54 minutes

Answer:

So lets calculate, we know that the common multiplier is 3. So we can use the geometric sequence formula.

(ar)^(n-1)

So we have 1*3 = 3. 3 to the power of 11-1 = 10. So our answer is 3^10 or 59049. Thats the answer

The 11th term of the geometric progression is 59049

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

The first term of the geometric progression is a = 1

The common ratio r = second term / first term

                                 = 3/1

                                 = 3

The number of terms n = 11

So , the equation to calculate the nth term of a GP is

aₙ = arⁿ⁻¹

Substituting the value of a , n and r  we get

a₁₁ = ar¹¹⁻¹

a₁₁ = ar¹⁰

a₁₁ = 3¹⁰

a₁₁ = 59049

Therefore the value of a₁₁ is 59049

Hence , The 11th term of the geometric progression is 59049

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Globalization has led to convergence primarily in the regulation of markets, rather than in environmental and labor laws, the volume of goods and services produced, foreign exchange transaction laws, or consumer taste preferences.

While globalization has undoubtedly brought about increased interconnectedness and integration of economies worldwide, the extent of convergence varies across different aspects. One area where convergence is observed is in the regulation of markets. As countries engage in international trade and investment, there is often a need to harmonize certain regulations to facilitate smooth transactions and reduce barriers to trade. This can include areas such as intellectual property rights, competition policies, and trade facilitation measures.

However, it is important to note that globalization has not necessarily led to convergence in other areas such as environmental and labor laws, the volume of goods and services produced, foreign exchange transaction laws, or consumer taste preferences. These aspects are often influenced by domestic policies, cultural differences, and varying levels of economic development among nations.

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Professor evaluation in this case is an example of a discrete random variable. A discrete random variable takes on a countable number of distinct values.

In this case, the scores 1, 2, 3, 4, and 5. The variable represents the outcome of a specific event (the evaluation of a professor) and can only assume these specific values. Each score has a certain probability associated with it, reflecting the likelihood of that score being given by the students.

As it is a discrete random variable, there is no intermediate value between the possible scores, and the probability distribution can be represented by a probability mass function.

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Given, Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph.Both Jada and Elena start walking along a walking trail at the same time.

Let us determine the distance covered by both of them.Distance travelled by Jada in 3 hours is:Distance = Speed × Time= 3 mph × 3 hours= 9 miles Distance travelled by Elena in 3 hours is:Distance = Speed × Time= 2.8 mph × 3 hours= 8.4 miles Thus, Jada will walk 0.6 miles farther than Elena after 3 hours.

To determine how far Jada will walk after 3 hours, we need to calculate the distance traveled based on her speed.

Jada walks at a speed of 3 miles per hour (mph), so we can calculate her distance using the formula:

Distance = Speed × Time

Plugging in the values, we have:

Distance = 3 mph × 3 hours

Distance = 9 miles

Therefore, Jada will walk a distance of 9 miles after 3 hours.

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The given information is as follows:

Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph. If they both begin walking along a walking trail at the same time.

Therefore, Jada will walk 9 miles after 3 hours.

The distance covered by Jada after 3 hours can be calculated as follows:

Distance = Speed x Time

Since Jada walks at a speed of 3 mph, the distance covered by her in 3 hours can be calculated as:

Distance covered by Jada = 3 mph x 3 hours

= 9 miles.

Therefore, Jada will walk 9 miles after 3 hours.

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In mathematics, an integral is either a number representing the region under a function's graph for a certain interval or a new function, the derivative of which is the original function (indefinite integral).

The value obtained after integrating or adding the terms of a function that is divided into an infinite number of terms is generally referred to as an integral value.

Integral is a term derived form the word integration. Integration in calculus is the opposite of differentiation

Integration is used to get the whole by combining combine slices or smaller portions.

Finding areas, volumes, central points, and many other important things may be done with integration. However, it is simplest to begin by calculating the distance between a function and the x-axis.

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Answer:

(2,0)

Step-by-step explanation:

5x + 9y = 10

4x -3y = 8  If I multiple this second equation all the way through by 3, then the y's would cancel out when I add the equations together.

12x -9y = 24  multiplied the second equation through by 3

5x + 9y = 10  Add the 2 equations together

17x         = 34  Divide both sides by 14

x = 2

Plug 2 in for x for either of the two original equations and solve for y

5x + 9y = 10

5(2) + 9y = 10

10 + 9y = 10  Subtract 10 from both sides

9y = 0  Divide both sides by 0

y = 0

(2,0)

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

f(-2) = -1

f(0) = -5

f(4) = -1

Step-by-step explanation:

The number inside of f( ) is telling you which equation to use to get the answer.

Example:

f(-2) since -2 is less than 0 you would use (x^2) - 5. So, ((-2)^2) - 5 = 4-5 = -1

f(0) since 0 is less than or equal to 0 you would use (x^2) - 5 again. So, ((0)^2) - 5 = 0-5 = -5

f(4) since 4 is grater than 3 you would use (2^(x-1)) - 9. So, (2^(4-1)) - 9 =  -1

The Graph, try to make it as straight as possible

To test whether the type of animal used for animal crackers is not uniformly distributed, we can use a chi-squared goodness-of-fit test.

The null hypothesis is that the type of animal used for animal crackers is uniformly distributed, while the alternative hypothesis is that it is not uniformly distributed.

We first calculate the expected counts under the assumption of a uniform distribution, which would be 686/6 = 114.33 for each animal.

Animal Observed Count Expected Count

Lion 100 114.33

Tiger 110 114.33

Bear 120 114.33

Rhino 116 114.33

Hippo 130 114.33

Zebra 110 114.33

The test statistic is the chi-squared statistic, which can be calculated as:

χ² = Σ(observed count - expected count)² / expected count

Using the table above, we calculate:

χ² = [(100-114.33)²/114.33] + [(110-114.33)²/114.33] + [(120-114.33)²/114.33] + [(116-114.33)²/114.33] + [(130-114.33)²/114.33] + [(110-114.33)²/114.33] = 7.956

The degrees of freedom for this test is (6-1) = 5.

Using a chi-squared distribution table or calculator, the p-value associated with this test statistic and degrees of freedom is approximately 0.1603.

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. Therefore, we do not have convincing evidence to suggest that the type of animal used for animal crackers is not uniformly distributed.

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The limit of (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity is 0.

To find the limit of the function (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity, we will divide both the numerator and denominator through the highest power of x. In this case, the highest power of x is x², so we can divide both the numerator & the denominator through x²:

\([(2x-1)/(x^2)] * [(3-x)/((x-1)/(x^2)(x+3))]\)

Now, as x approaches infinity, every of the fractions within the expression procedures zero except for (2x-1)/(x²). This fraction techniques 0 as x procedures infinity because the denominator grows quicker than the numerator. therefore, the limit of the expression as x strategies infinity is:

0 * 0 = 0

Consequently, When x gets closer to infinity, the limit of (2x-1)(3-x)/(x-1)(x+3) is 0.

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Algorithm Il always works correctly, but Algorithm I only works correctly when the maximum value is greater than or equal to - 1

=====================================================

Explanation:

Let's say we have the data set {-4,-3,-2}. The value -2 is the largest.

If we follow algorithm 1, then the max will erroneously be -1 after all is said and done. This is because the max is set to -1 at the start even if -1 isn't in the data set. Then we see if each data value is larger than -1.

Each statement being false means we do not update the max to its proper value -2. It stays at -1.

This is why we shouldn't set the max to some random value at the start.

It's better to use the some value in the data set to initialize the max. Algorithm 2 is the better algorithm. Algorithm 1 only works if the max is -1 or larger.

Answer: x = 3.5

Step-by-Step Solution:

Let us first label the figure.

Let the Triangle be ABC with a line DE || BC.

Now, in ∆ABC,

DE || BC (given)

=> AD/DB = AE/EC (by B.P.T)

Substituting the given values,

AD/DB = AE/EC

2/4 = x/7

1/2 = x/7

2x = 7

x = 7/2

=> x = 3.5

Therefore, x = 3.5

Number is the equivalent of the one written in scientific notation is

3. 21 × 104 kg = kg 2. 0 × 10-5 l = l

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It can also be referred to as standard form in the UK, standard index form, or scientific form.

Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5 108 in scientific notation.

we have the number,

\($0.000013$we know that$0.000013=\frac{13}{1000,000}=\frac{13}{10^6}=13 * 10^{-6}=1.3 * 10^{-5}$\)

\(thereforethe answer is$1.3 * 10^{-5}$\)

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It can also be referred to as standard form in the UK, standard index form, or scientific form.

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Using separation of variables technique, the solution for the given differential equation is OE. Inly-91-4x-8.

The differential equation to solve is:

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

First, we can factor out the 3y from the denominator to get:

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

Next, we can multiply both sides by y to get:

y y' = 4x - y

Now, we can separate the variables by dividing both sides by (4x - y) y:

dy / (4x - y) = dx / y

Integrating both sides, we get:

ln|4x - y| = ln|y| + C

where C is the constant of integration. We can simplify this to:

ln|4x - y| - ln|y| = C

ln|4x / y - 1| = C

Taking the exponential of both sides, we get:

4x / y - 1 = e^C

Solving for y, we get:

y = 4x / (1 + Ce^x)

To find the constant of integration C, we can use the initial condition y(2) = 10. Substituting x = 2 and y = 10 into the solution, we get:

10 = 8 / (1 + Ce^2)

Solving for C, we get:

C = (8 / 10) - e^4

C = -0.2212

Substituting this value of C into the solution, we get:

y = 4x / (1 - 0.2212e^x)

Simplifying, we get:

y = 4x / (0.7788e^-x - 1)

Thus, the answer is (OE) Inly-91-4x-8.

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Answer:

Step-by-step explanation:

We have that

A = 51°, b = 14, c = 6

step 1

find the value of a

Applying the law of cosines

a²=c²+b²-2*c*b*cos A

a²=6²+14²-2*6*14*cos 51-------> 126.27

a=11.2

we know that

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

we have

a=11.2

b=14

c=6

so

(a+b) > c-------------> (11.2+14)=25.2

25.2 > 6-----> is not correct

therefore

the answer is the option

a. No triangles possible

I don't know if i am right sorry if this is wrong

If we want to provide a 95% confidence interval for the mean of a population, the confidence coefficient will be: D. .95.

A confidence interval is also referred to as level of confidence and it can be defined as a range of estimated values that defines the probability that a population parameter would fall or lie within it.

For instance, the confidence interval at 95% is given by p - E < p < p + E

Since the confidence interval for the mean of a population is at 95%, the confidence coefficient would be calculated by simply dividing the confidence interval by 100:

Confidence coefficient = 95/100

Confidence coefficient = 0.95

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