Apples are $2.49/pound. You need 2.5 pounds to make apple crisp. How much will you spend on apple in total? Show your work for full credit.

When x is a uniformly distributed random variable on [0,1], it divides the interval [0,1] into two subintervals: [0,x] and [x,1]. This division exhibits symmetry, as explained in the following paragraphs.

Consider a uniformly distributed random variable x on the interval [0,1]. The probability density function of x is constant within this interval. When x takes a particular value, it acts as a dividing point that splits [0,1] into two subintervals.

The first subinterval, [0,x], represents all the values less than or equal to x. Since x is randomly distributed, any value within [0,1] is equally likely to be chosen. Therefore, the probability of x falling within the subinterval [0,x] is equal to the length of [0,x] divided by the length of [0,1]. This probability is simply x.

By symmetry, the second subinterval, [x,1], represents all the values greater than x. The probability of x falling within the subinterval [x,1] can be calculated as the length of [x,1] divided by the length of [0,1], which is equal to 1 - x.

The symmetry arises because the probability of x falling within [0,x] is the same as the probability of x falling within [x,1]. This symmetry is a consequence of the uniform distribution of x on the interval [0,1].

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The number of feet in 1 centimeter is 14 feet.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, in the scale drawing, the length of the cafeteria is 14 centimeters. the length of the actual cafeteria is 210 feet.

Here, 14 centimeters = 210 feet

1 centimeter =210/14 feet

1 centimeter =14 feet

Therefore, the number of feet in 1 centimeter is 14 feet.

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According to recursive definition of the lucas numbers l(n), l(3) is 4.

The Fibonacci sequence and the Lucas number both have a recursive relationship where each term is the sum of the two terms before it, but the beginning values are different.

The recursive definition of the Lucas numbers is:

l(0) = 2

l(1) = 1

l(n) = l(n-1) + l(n-2), for n >= 2

To find l(3), we use the recursive definition:

l(3) = l(2) + l(1)

We can find l(2) using the recursive definition again:

l(2) = l(1) + l(0)

We know that l(1) = 1 and l(0) = 2, so:

l(2) = 1 + 2 = 3

Now we can substitute back into the first equation:

l(3) = l(2) + l(1) = 3 + 1 = 4

Therefore, l(3) = 4.

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Answer: after about 96 Minutes

Step-by-step explanation:

Answer:

7 :))

Step-by-step explanation:

Based on the information, the error officer is making is not taking into account the total evidence. (Option D)

The principle of total evidence suggests using all the available observation or evidence when estimating a probability. Hence, to meet total evidence requirement (RTE) not only evidence in favor of a claim but also against it must be considered. The RTE is a basic maxim for non-deductive inference, specifying that evidence must be considered if it has relevance to an inference. The principle of total evidence is tied to inductive inference or reasoning, which is always probabilistic. Total evidence is a tool of decision-making, where the decision is to accept or reject a certain theory/hypothesis on inductive grounds. Hence, logical probability is translated into the (inductive) degree of confirmation of a hypothesis or theory, and that 'logical probability' had to be based on the total evidence available at the time. In the given case, the error the officer is making is not considering the total evidence as she is considering the probability to support her claim but not against it.

Note: The question is incomplete as it is missing options which are a. base rate neglect b. ignoring survivor bias c. heads I win, tails we’re even d. not taking into account the total evidence e. nothing is wrong with her reasoning.

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720

Answer:

15/9 = 1200/x

15x/ 15 =10800/15

x= 720

Answer: 3/5 i think ;-; if its not well then uhhhhh sorry?

Step-by-step explanation:

With this velocity , It take her to reach in  11.54 minutes or 0.1923 hours.

A vector number known as velocity describes "the rate at which an object changes its position."It is measured in meters per second (m/s) or kilometers per hour (km/h) and is defined as the rate at which the position of an item changes with regard to time.² A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined.³

A graph of the woman's speed vs time would have a straight line with a positive slope, beginning at (0,0), and ending at (t,60), where t represents the amount of time it takes her to reach 60 mph.

Her initial velocity is zero because she starts at rest, and her final velocity is 60 mph. The following formula can be used to get the average acceleration during this period:

v_f - v_i = a / t

where t is the time it takes to reach 60 mph, an is the acceleration, v_f is the final velocity (60 mph), v_i is the starting velocity (0 mph), and an is the final velocity. Inverting this formula results in:

a = t = (v_f - v_i)

Inputting the values for v_f and v_i results in:

t = (60 mph - 0) / a

The formula: can be used to determine the acceleration.

a = d / t²

where d is the travelled distance (10 miles). Inputting the values for d and t results in:

a = 2d / t²

This expression for an is entered into the previous expression for t to produce the following result:

√(2d / a) = t

Adding the values for d and a results in:

t is equal to √(2× 10 miles / ((60 mph)2 - 0)) = 11.54 minutes or 0.1923 hours.

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There were 20 questions on the quiz.

Let's start by using algebra to solve the problem.

Let x be the total number of questions on the quiz.

If Jianna got 87.5% of the questions correct, then she got 0.875x questions

correct.

We also know that Jianna got 17.5 questions correct.

So we can set up the equation:

0.875x = 17.5

To solve for x, we can divide both sides by 0.875:

x = 20

Therefore, there were 20 questions on the quiz.

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To find the multiple regression model, you can use statistical software like R or Python with packages such as statsmodels, scikit-learn, or MATLAB.

The actual implementation may vary depending on the specific software or programming language you are using.

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Sample size of the data set There are 30 observations in the data set for drying time, in hours, of a certain brand of latex paint.(b) Calculation of Sample mean The formula for finding the sample mean is, \[\bar{x} =\frac{1}{n}\sum_{i=1}^{n}x_i\]Given data is 4.1, 4.2, 4.3, 4.2, 4.2, 4.4, 4.3, 4.2, 4.3, 4.1, 4.2, 4.5, 4.3, 4.2, 4.1, 4.4, 4.5, 4.6, 4.2, 4.4, 4.3, 4.2, 4.4, 4.6, 4.5, 4.7, 4.5, 4.3, 4.6, 4.5, 4.6, where n = 30, we need to find the sample mean.

Here, Sum of observations = (4.1 + 4.2 + 4.3 + 4.2 + 4.2 + 4.4 + 4.3 + 4.2 + 4.3 + 4.1 + 4.2 + 4.5 + 4.3 + 4.2 + 4.1 + 4.4 + 4.5 + 4.6 + 4.2 + 4.4 + 4.3 + 4.2 + 4.4 + 4.6 + 4.5 + 4.7 + 4.5 + 4.3 + 4.6 + 4.5 + 4.6) = 130.7Sample Mean is \[\bar{x}\] = Sum of Observations / Sample size = 130.7 / 30 = 4.3566 or 4.4.(c) Calculation of Sample Median.

For calculating the sample median, we need to first arrange the data set in the ascending order, The given data set in ascending order is,4.1, 4.1, 4.1, 4.2, 4.2, 4.2, 4.2, 4.2, 4.2, 4.3, 4.3, 4.3, 4.3, 4.3, 4.4, 4.4, 4.5, 4.5, 4.5, 4.5, 4.5, 4.6, 4.6, 4.6, 4.6, 4.7. Here we can see that there are 30 observations, which is an even number. Since the number of observations is even, we need to find the average of middle two observations to get the median value.

Therefore, median = \[(4.3 + 4.4) / 2\] = 4.35.(d) Dot Plot for the given data set is shown below.(e) Calculation of 20% Trimmed Mean:Trimmed Mean is the mean of the central data values after the extreme values have been removed. The 20% trimmed mean refers to removing the largest and smallest 20% of the observations and finding the mean of the remaining 60% of observations.The formula to find 20% Trimmed Mean is:\[20\%

Trimmed\;Mean=\frac{\sum_{i=1}^{n}x_i-x_{(1)}-x_{(n)}}{n-2r}\]where r = number of observations to be trimmed from both endsThe largest and smallest 20% of the observations are (4.1, 4.1, 4.1, 4.2, 4.2, 4.2, 4.2, 4.2, 4.2, 4.3, 4.3, 4.3, 4.3, 4.3, 4.4, 4.4, 4.5, 4.5, 4.5, 4.5, 4.5, 4.6, 4.6, 4.6, 4.6, 4.7) and 6 observations from each end are to be trimmed. Therefore, n = 30, r = 6Now substituting the values in the formula above, we get [20\% Trimmed\;Mean=\frac{130.7-4.1-4.7}{30-2(6)} = \frac{121.9}{18} = 6.77\]Therefore, the 20% trimmed mean is 6.77.(f) Comparison of sample mean and trimmed mean:The trimmed mean is less affected by the outliers than the sample mean.

Hence, it is more appropriate to use the trimmed mean when there are outliers present. Here, the given data set does not have any outliers. Hence, the sample mean and the trimmed mean are similar. However, in general, the trimmed mean is less affected by the presence of outliers than the sample mean.

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Answer:

B.

3x less than 12.

12/3= 4. so x is any number less than 4.

Using a linear equation, the formula for the sum registered is:

\(C(n) = 5n + 175\)

----------------------------

A linear equation has the following format:

\(y = mx + b\)

In which:

In this problem:

\(m = \frac{975 - 775}{160 - 120} = \frac{200}{40} = 5\)

Then

\(C(n) = 5n + b\)

(120,775) means that when \(n = 120, C(n) = 775\). We use this to find b.

\(C(n) = 5n + b\)

\(775 = 5(120) + b\)

\(b = 775 - 600\)

\(b = 175\)

Thus

\(C(n) = 5n + 175\)

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Answer:

btnhyjum6666666i-n,,,,,,,,,,,

Step-by-step explanation:

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lJhbgvft

The perimeter of a triangle will be the addition of all the lengths if its sides.

It should be noted that your information is incomplete but an overview will be given based on the information. It should be noted that a perimeter of a triangle is the addition of all its three sides.

In this case, let's assume that the previous triangle has a perimeter of 30cm. This implies that you've to draw another triangle that its three sides will be equal to 30cm too.

The sides length can be 10cm, 8cm and 12cm. Also, you can use 10cm, 10cm, and 10cm. This will give the perimeter.

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Answer:

7x + 7y is the product of 7 & (x + y)

Step-by-step explanation:

\(7x + 7y = 7(x + y)\)

Hence 7 & (x + y) are the factors of 7x + 7y

The upper quartile of the random variable X with the given cumulative distribution function (CDF) is 4.5.


To find the upper quartile, we need to determine the value of x for which the cumulative probability is 0.75 (or 75%). In other words, we are looking for the value of x at which F(x) = 0.75.
Based on the provided CDF:
F(x) = 0 for x < 0
F(x) = x/6 for 0 ≤ x ≤ 6
F(x) = 1 for x > 6
To find the upper quartile, we need to solve the equation F(x) = 0.75:
x/6 = 0.75
Multiplying both sides of the equation by 6 gives:
X = 4.5
Therefore, the upper quartile of the random variable X is 4.5. This means that 75% of the values of X are less than or equal to 4.5, while 25% of the values are greater than 4.5.

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Answer:

$1.50  dollars per bag and at that rate it would be $7.50 for 6 bags of chips

Step-by-step explanation:

Answer:

The maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels further  

Also the distance of the maximum height of first pluck from the player is less than the distance of the second pluck from the player hence the second pluck travels further

Step-by-step explanation:

From the question we are told that

  The maximum height of the first pluck is  \(h_1 = 3 \ ft\)

   The height of the second height is mathematically represented as

              \($y=x\left(0.15-0.001x\right)\)

=>           \(y=0.15x -0.001x^2\)

Generally at maximum height  \(y' = 0\)

So

      \(y'=0.15 -0.002 x = 0\)

=>    \(x =  75 \  ft \)

Here 75 ft is the horizontal distance the second pluck traveled at maximum height

   So the maximum height of the second pluck is mathematically represented as

       \(y=0.15(75) -0.001(75)^2\)

=>     \(y=  5.625 \  ft \)  

So comparing the maximum height  of the first and the second pluck we see that the maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels father

The probability of the sample having a mean gas mileage between 27 and 29 miles per gallon will be 0.0116.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

In 2014, new cars had an average fuel efficiency of 27.9 miles per gallon with a standard deviation of 6.8 miles per gallon. a sample of 30 new cars is taken.

Then the probability the sample has a mean gas mileage between 27 and 29 miles per gallon will be

The value of the z-score at x = 27, we have

\(z = \dfrac{27 - 27.9}{6.8}\\\\z = -0.13\)

The value of the z-score at x = 29, we have

\(z = \dfrac{29 - 27.9}{6.8}\\\\z = 0.16\)

Then the probability will be

\(\begin{aligned} P(-0.13 < z < 0.16 ) &= P (z < 0.16) - P(z > -0.13) \\\\&= P (z < 0.16) - [ 1 - P(z < -0.13) ]\\\\&= 0.56425 - (1 -0.44735)\\\\&= 0.0116 \end\)

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Answer:

4^6

Step-by-step explanation:

Add the 2 and 4 at the top

Given:

The equation is:

\(x^2-12x+32=4\)

To find:

The result of completing the square for the given equation.

Solution:

We have,

\(x^2-12x+32=4\)

It can be written as:

\(x^2-12x=4-32\)

\(x^2-12x=-28\)

Now, we need to add half of square of coefficient of x, to complete the square.

Adding \((\dfrac{-12}{2})^2\) on both sides, we get

\(x^2-12x+(\dfrac{-12}{2})^2=-28+(\dfrac{-12}{2})^2\)

\(x^2-2(x)(6)+(-6)^2=-28+(-6)^2\)

\(x^2-2(x)(6)+(6)^2=-28+36\)                 \([\because (-a)^2=(a)^2]\)

Using the formula \((a-b)^2=a^2-2ab+b^2\), we get

\((x-6)^2=8\)

Therefore, the required equation after completing the square is \((x-6)^2=8\).

Answer:

7662247+20728678=28290925+33807580=620985505

35 1 + 2 = 17. To remember the mathematical operations in the correct order, people frequently use the abbreviation PEMDAS.

You must follow the order of operations, often known as PEMDAS, to evaluate this equation. Parentheses, exponents, multiplication and division (left to right), addition, and subtraction are all referred to as PEMDAS (from left to right).

When using PEMDAS, you would first calculate the output of the parenthesized expression—which is 3 times 5—and then add 2.

Thus, 35 1+2 reduces to:

3*5 1 + 2 = (3*5) + 2 (first calculate within the parentheses) = 15 + 2 (conduct multiplication) = 17 (perform addition)

Hence, 35 1 + 2 = 17.

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Answer:

4739 CDs

Step-by-step explanation:

Given the function that models the rate at which the disc is sold expressed as;

R(t)=20,000e^−0.12t

t is the number of weeks since the CD was first released

We are to look for the number of CDs that are expected to be sold during the first 12 weeks after the release. To do this, you will simply substitute t = 12 into the modeled function and get R(12) as shown;

R(t)=20,000e^−0.12t

R(12)=20,000e^−0.12(12)

R(12)=20,000e^−1.44

R(12)=20,000(0.2369)

R(12) = 4738.56

Hence the total number of CDs expected to be sold to nearest thousand is 4739 CDs

Answer:

127,000

Step-by-step explanation:

you take the integral from 0 to 12 of R(t)

1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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Answer:

\( 4 \times \frac{4 - 3y}{4} = 4 \times (- 17)\)

4-3y=-68

-3y=-72

-3y/(-3)=-72/(-3)

y=24

Answer:

\(4 - 3y = 4 \times - 17 \\ \\ 4 - 3y = - 68 \\ 3y = 68 + 4 \\ y = \frac{72}{3} \\ y = 24\)

Explanation:

The area of a circle can be calculated as:

Where π is approximately 3.14 and r is the radius of the circle.

So, if we have a circle of radius equals 4 ft, the area will be equal to:

Answer: A=πr^2

Step-by-step explanation:

Find the radius

Multiply it by pie

and then square it

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6