Simplify the expression

A random variable is said to be continuous if it is measured over an interval. Option b. "is measured over an interval" correctly describes a continuous random variable.

A continuous random variable can take on any value within a given interval, including decimal values. It represents measurements that can be infinitely divided and can take on an uncountable number of values. Examples of continuous random variables include the height of individuals, the time it takes to complete a task, or the temperature of a room. These variables are not restricted to specific discrete values and can vary continuously.

On the other hand, discrete random variables (options a, c, and d) can only take on a countable number of distinct values. Discrete random variables represent outcomes that are distinct and separate, such as the number of students in a class, the number of cars passing by, or the number of heads obtained when flipping a coin.

These variables do not have decimal values and cannot be measured over a continuous range.

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The length of the curve defined by r(t) = ⟨t, t, t^2⟩, where 3 ≤ t ≤ 6, is L = 9.6184 units.

To find the length of a curve defined by a vector-valued function, we use the arc length formula:

L = ∫[a, b] √(dx/dt)^2 + (dy/dt)^2 + (dz/dt)^2 dt

For the curve r(t) = ⟨t, t, t^2⟩, we have:

dx/dt = 1

dy/dt = 1

dz/dt = 2t

Substituting these derivatives into the arc length formula, we have:

L = ∫[3, 6] √(1)^2 + (1)^2 + (2t)^2 dt

 = ∫[3, 6] √(1 + 1 + 4t^2) dt

 = ∫[3, 6] √(5 + 4t^2) dt

Evaluating this integral using a calculator or numerical approximation methods, we find L ≈ 9.6184 units.

Similarly, for the curve r(t) = ⟨sin(t), cos(t), tan(t)⟩, where 0 ≤ t ≤ π/7, we can find the length using the same arc length formula and numerical approximation methods.

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Answer:

Step-by-step explanation:

We need to find an equation of h(c) with the following info given:

According the info above we have factors:

Let's work out the value of k and t:

We now have the factors:

According to survey data, approximately 90% of recruiters review the social profile of a candidate for a job.

This means that the majority of recruiters, about 90%, look at the social media accounts of potential candidates.

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Answer:

No Real Solutions.

Step-by-step explanation:

√(x-5)=8√(x-2)

Square on both sides,

(√(x-5))^2=(8√(x-2))^2

or,(x-5)=64(x-2)

or,x-5=64x-128

or,-5+128=64x-x

or,123/63=x

Therefore, x=41/21

If you plug x=41/21 in √(x-5)=8√(x-2) you do not get equals, so the problem has no real solutions.

안녕, 내 친구가 되어줄래?

소개를 부탁드려도 될까요?

나 자신 오자스비

클래스 8, 13

인도

한국 사람이에요?

To determine the optimal order size for tomato sauce for Mama Rosa, we need to use the economic order quantity (EOQ) formula. This formula is given as:

Economic Order Quantity (EOQ) = sqrt(2DS/H)

Where: D = Annual demand

S = Cost per order

H = Holding cost per unit per year

Since the EOQ is the optimal order size, Mama Rosa should order 4,648 quarts of tomato sauce each time she orders.  For Mama Rosa's tomato sauce ordering:

D = 360*120

= 43,200 Cost per order,

S = $50 Holding cost per unit per year,

H = 20% of

$1 = $0.20 Substituting the values in the EOQ formula,

we get: EOQ = sqrt(2*43,200*50/0.20)

= sqrt(21,600,000)

= 4,647.98 Since the EOQ is the optimal order size, Mama Rosa should order 4,648 quarts of tomato sauce each time she orders.  

LT = Lead time

V = Variability of demand during lead time Lead time is given as 5 days and variability of demand is the standard deviation, which is given as 50 quarts.

To determine the reorder point, we Using the z-score table, the z-score for a 2% service level is 2.05. Substituting the values in the safety stock formula. use the formula: Reorder point = (Average daily usage during lead time x Lead time) + Safety stock Average daily usage during lead time is the mean, which is given as 120 quarts. Substituting the values in the reorder point formula, we get: Reorder point = 622.9 quarts Therefore, Mama Rosa should order tomato sauce when her stock level reaches 622.9 quarts.

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Answer:

12/18

Hope this helps!

Answer:

18 gallons

Step-by-step explanation:

2 cups of sugar times 9 gallons of lemonade is 18

Step-by-step explanation:

since the arc angle VTW = 125°, and the line UTW is clearly a diameter through the circle T, then the arc angle UTV is the supplementary angle to VTW. that means they cover a half-circle and therefore 180°.

arc angle UTV = 180 - arc angle VTW =

= 180 - 125 = 55°

it is important to consider the potential for intra-cluster similarity, as individuals within the same cluster may be more similar to each other than to individuals in other clusters.

A cluster sample is a sampling technique where the population is divided into clusters or groups, and a subset of clusters is selected at random to form the overall sample. In this type of sampling, all members of the selected clusters are included in the sample.

In the given example, the airline company selects 555 flights as clusters and surveys every passenger on those flights. Each flight represents a cluster, and by selecting random flights, the company includes every passenger on those selected flights in the survey.

This cluster sampling approach is suitable when each group or cluster is representative of the overall population. It is useful when it is impractical or costly to sample every individual unit within the population, but the selected clusters are expected to reflect the characteristics of the entire population.

Cluster sampling allows for more practical data collection, particularly when dealing with large populations or geographically dispersed units. However, it is important to consider the potential for intra-cluster similarity, as individuals within the same cluster may be more similar to each other than to individuals in other clusters.

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The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.

To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.

(a) For A = 1, B = 0, and C = 1:

X = 1.¯¯¯¯¯¯01

To find the complement of BC, we replace B = 0 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001

(b) For A = B = C = 1:

X = 1.¯¯¯¯¯¯11

Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111

(c) For A = B = C = 0:

X = 0.¯¯¯¯¯¯00

Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:

X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000

In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.

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The mean of the following data 0,5,30,25,16,18,19,26,0,20,28 is 17.

Hence option D is the correct option.

Mean is the average value of a given set of data. It is calculated by the formula,

Mean =  {Summation of all the values in the data set} / {Number of observations is the data set}

That is, Mean = {Σ all values in the data set} / {number of observations}

The given data set is as follows,

0,5,30,25,16,18,19,26,0,20,28

The number of observations in the data set is 11.

The summation of all the values in the data set is = {0 + 5 + 30 + 25 +
16 + 18 + 19 +26 + 0 + 20 + 28} = 187

Therefore, by applying  the formula of Mean we get

Mean = 187/ 11 = 17

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Answer:

$1.27

$9030.56

$2,210.34

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r/n)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years  

1. 1( 1 + 0.24 /12)^12 = $1.27

2. 5000 ( 1 + 0.12 /4)^( 5 x 4) = $9030.56

the formula for calculating future value when there is continuous compounding is : A x e^r x N

A= amount e = 2.7182818 N = number of years r = interest rate

3. 1000 x e^0.1 x 2 = $2,210.34

Answer:

(32/5, -48/5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

-4x + 16 = y

2x - 32 = 2y

Step 2: Solve for x

Substitution

Step 3: Solve for y

Based on the information provided, we can calculate the missing values to complete the income statement for Electronic Transformations:

Revenue: Cash received from customers = $82,500
Cost of Goods Sold: Not enough information provided to calculate
Gross Profit: Not enough information provided to calculate
Operating Expenses: Cash paid for operating expenses = $25,900
Depreciation Expense: $8,900
Operating Income: Not enough information provided to calculate
Interest Expense: Not enough information provided to calculate
Income Before Taxes: Not enough information provided to calculate
Income Tax Expense: Cash paid for income taxes = $10,900
Net Income: $35,900

Based on the information provided, we are unable to calculate the values for Gross Profit and Operating Income.

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Answer:

\( 2.58 \times {10}^{8} \)

Step-by-step explanation:

\(9.3. {10}^{7} - 3.4. {10}^{6} \\ = (27 \times 10 - 12) \times {10}^{6}\\ = (270 - 12) \times {10}^{6} \\ = 258 \times {10}^{6} \\ = 2.58 \times {10}^{6 + 2} \\ = 2.58 \times {10}^{8} \)

Answer: i don't know

Step-by-step explanation:

what is this

also i need points! sry

The probability that a person will wait for more than 33 minutes is 0.9772, rounded to four decimal places.

To find the probability that a person will wait for more than 33 minutes, we need to calculate the area under the normal distribution curve to the right of 33 minutes.

Using the standard normal distribution, we can convert the waiting time of 33 minutes to a z-score:

z = (33 - 55) / 11 = -2

Then, we can find the area to the right of this z-score using a standard normal distribution table or calculator. The area to the left of a z-score of -2 is 0.0228, so the area to the right (the probability that a person will wait for more than 33 minutes) is:

1 - 0.0228 = 0.9772

Therefore, the probability that a person will wait for more than 33 minutes is 0.9772, rounded to four decimal places.

Given a normally distributed waiting time with mean 55 minutes and standard deviation 11 minutes, we can use the properties of the normal distribution to calculate the probability that a person will wait for more than 33 minutes. By standardizing the waiting time using the z-score formula, we can transform it into a standard normal distribution with mean 0 and standard deviation 1. From there, we can use a standard normal distribution table or calculator to find the area to the right of the z-score corresponding to 33 minutes. This area represents the probability that a person will wait for more than 33 minutes. Finally, we subtract this area from 1 to obtain the desired probability.

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A rhombus with opposite sides are parallel and equal, and opposite angles are equal looks like Diamond.

A closed two-dimensional plane figure is a rhombus. It is regarded as a peculiar parallelogram, and due to its distinctive characteristics, it acquires a distinct identity as a quadrilateral. Due to its equal length sides, a rhombus is also known as an equilateral quadrilateral. The name "rhombus" is derived from the Greek word "rhombos," which really refers to a spinning object.

Due to the fact that it is a quadrilateral with two pairs of parallel sides, a rhombus can be considered a particular parallelogram. A rhombus also has equal sides on all four sides, exactly like a square. Because of this, it is often referred to as a tilted square. To comprehend the relationship between the rhombus shape, parallelogram, and square, look at the graphic below.

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With a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean

Step-by-step explanation:

Answer:

it's sideways please turn it so i can read it and help.

Step-by-step explanation:

The new mixture exists 56.5% peanuts.

The first batch of 9 lb of mixed nuts possesses 40% peanuts.

This means the quantity of peanuts exists:

9 \(*\) 40/100 = 3.6 lb

The second batch of 9 lb of mixed nuts possesses 73% peanuts.

This means the quantity of peanuts exists:

9 \(*\) 73/100 = 6.57 lb

The total quantity of peanuts in the mix exists

3.6 lb + 6.57 lb = 10.17 lb

There exist 9 lb + 9 lb = 18 lb of mix.

Therefore, the percent of peanuts in the mix exists:

10.17 / 18 \(*\) 100 = 56.5%

The new mixture exists 56.5% peanuts.

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When developing the Object Relational Model in the models.py file for a Django project, data types for each attribute must be specified is true statement.

The statement "When developing the Object Relational Model in the models.py file for a Django project, data types for each attribute must be specified" is true.

In Django, the models.py file defines the Object Relational Model (ORM) that maps the database tables to Python classes. Each attribute in the model represents a column in the corresponding database table. In order to define the attribute, you must specify the data type for the corresponding column.

Django supports several built-in data types for attributes, such as CharField, IntegerField, DateField, BooleanField, etc. You can also define custom data types by creating your own model fields.

By specifying the data type for each attribute, Django can ensure that the values entered into the database are of the correct type and can perform appropriate data validation. This is essential for maintaining data integrity and avoiding data-related errors.

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Answer:

x = 12

Step-by-step explanation:

\(\frac{1-3x}{5}\) = - 7 ( multiply both sides by 5 to clear the fraction )

1 - 3x = - 35 ( subtract 1 from both sides )

- 3x = - 36 ( divide both sides by - 3 )

x = 12

Answer:

Two places to the right.

Step-by-step explanation:

Since theres  two zeros in 100, move the decimal two places to the right, making it 400.3.

Answer:

Domain: 3,4,5,6

Range: 7,9,11,13

Pairs: (3,7), (4,9), (5,11), (6,13)

Step-by-step explanation:

The shapes C and F represent an enlargement of shape X by a scale factor of -1.

A dilation is defined as a non-rigid transformation that multiplies the distances between every point in a polygon or even a function graph, called the center of dilation, by a constant factor called the scale factor.

For a scale factor of -1, we have that the size remains constant, as |-1| = 1, hence the figure is just reflected.

Thus the shapes are given as follows:

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Answer:

10 days

Step-by-step explanation:

So if he/she already has 50$ we are going minus that from 250 (250-50) then divide 200 by 20 and that equals to the total amount of 10 days

The required number of seats in row 20 is 126.

In this question, we are given that the number of seats per row increases at a constant rate on the main floor of the Kodak Hall at the Eastman Theater.

Steven counts 31 seats in row 3 and 37 seats in row 6. We need to determine how many seats are there in row 20. Let the number of seats in row 3 be a and the common difference be d.

Then, we can express the number of seats in row 6 and row 20 in terms of a and d.

The number of seats in row 6 is given to be 37. So, using the formula for the nth term of an arithmetic sequence, we can write an = a + (n - 1)d37 = a + 3d ...(1)Similarly, the number of seats in row 3 is given to be 31.

So, we have a3 = a + 2d31 = a + 2d ...(2)Subtracting equation (2) from equation (1), we get:37 - 31 = (a + 3d) - (a + 2d)6 = Thus, the common difference is 6. Now, using equation (2), we can write:31 = a + 2d31 = a + 2(6)31 = a + 123 = Therefore, the number of seats in row 20 will be:a20 = a + 19d = 12 + 19(6) = 126. So, there are 126 seats in row 20.

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The answer is C if you pay attention to the original dotted line and then where the new one goes, which is up two.