The probability distribution of X is presented in the following table. X Probability 0 0.6 0.2 0.1 3 0.1 18. (4 points) Calculate the standard deviation of X. Please write down the formula. You may use Excel.

104 square feet is the total area of the mural.

From the figure, we can say that the total area of the mural can be found by using basic algebra,

So,

The total area of the mural = area of the rectangle +area of the triangle- an area of a smaller triangle.

So, First for a bigger triangle,

the height of the triangle = 5 +2 = 7 ft.

the base of the triangle  = 14 ft.

the area = 1/2*base*height

Thus the area = 49 square feet.

For the rectangle,

Height of the rectangle = 8 ft.

Width of the rectangle  = 10 ft.

Thus the area of the rectangle = width * height

The area of the rectangle = 80 square feet

For the smaller triangle,

the height of the triangle = 5 ft.

the base of the triangle  = 10 ft.

the area = 1/2*base*height

Thus the area = 25 square feet.

Hence,

Total area of the mural = 80 + 49 -25

Therefore, The total area of the mural is 104 square feet

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On solving the provided question we can say that area of rectangle= l*b =  20 and 2/3 feet

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

area of rectangle= l*b

2and 2/3  * 7 and 3/4

8/3 * 31/4

62/3 sq . feet

20 and 2/3 feet

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The length of the diagonal of the print would be = 36.7 in . That is option A (to the nearest tenth).

The print has the shape of a rectangle which is a type of a quadrilateral that has four sides with two sides parallel to each other.

The diagonal length of the print can be calculated by the use of the Pythagorean formula;

That is c² = a² + b²

C = hypothenuse = ?

a = 22 - 4 = 18in

b = 36 - 4 = 32 in

c² = 18² + 32²

c² = 324 + 1024

c² = 1348

C= √1348

C = 36.7 in ( nearest tenth)

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Answer:

0.94; 9/10; 88%; 0.78; 8/11

Step-by-step explanation:

Answer:

.94, 9/10, 88%, .78, and 8/11

Step-by-step explanation:

All % can be rewritten by moving the decimal 2 places to the left, (88% turns to .88)

Divide the fractions to get thier decimals

8/10 goes to .80

8/11 goes to .727272...

Now just put them in order

.7272, .78, .88, .90, .94 (Least to greatest)

.94, .90, .88, .78, .7272 (Greatest to least (What the problem wants))

Now convert them to the original form

.94, 9/10, 88%, .78, and 8/11

- Gage Millar, Algebra 2 Tutor.

Answer:

1/49 it is the equal to that

Step-by-step explanation:

I

Answer:

J

Step-by-step explanation:

Area of a square = L x W

F:

(5 x 5) + (4 x 4) = 81

25 + 16 = 81

41 = 81  INCORRECT =( X

H:

64 + (5 x 5) = (13 x 13)

64 + 25 = 169

89 = 169 INCORRECT =( X

G:

(6 x 6) + (5 x 5) = (7 x 7)

36 + 25 = 49

61 = 49 INCORRECT =( X

J:

144 + (5 x 5) = 169

144 + 25 = 169

169 = 169  CORRECT =)

Answer:

121

Step-by-step explanation:

5 Raise to the power of 3

125-4=

121

Answer:

Step-by-step explanation:

121 simplify the equation

The answer to the integral 0∫π/3 cos⁴xsinx dx using a u-substitution is -5/24 - √3/24, or approximately -0.315.To use a u-substitution to evaluate 0∫π/3 cos⁴xsinx dx, we will use the following steps:

Step 1: Choose a u-substitution that simplifies the integral. In this case, we will let u = cosx, which will allow us to rewrite the integral as 0∫1 u⁴(1-u²)du.

Step 2: Substitute the expression for u into the integral, and simplify. Using the substitution u = cosx, we have:

0∫π/3 cos⁴xsinx dx = 0∫1 u⁴(1-u²)du

Step 3: Evaluate the integral using standard integration techniques. Integrating u⁴(1-u²) with respect to u, we get:

∫ u⁴(1-u²)du = (1/5)u⁵ - (1/3)u³ + C

Step 4: Evaluate the integral from 0 to 1 using the substitution u = cosx. Substituting back, we have:

0∫π/3 cos⁴xsinx dx = (1/5)cos⁵x - (1/3)cos³x ∣₀ᴰ³/₃

Evaluating this expression at the limits of integration, we get:

(1/5)(cos⁵(π/3) - cos⁵(0)) - (1/3)(cos³(π/3) - cos³(0))

Simplifying, we get:

(1/5)(27/64 - 1) - (1/3)(3√3/8 - 1)

= -1/120 (27 - 64) - √3/24 + 1/3

= -5/24 - √3/24

Therefore, the answer to the integral 0∫π/3 cos⁴xsinx dx using a u-substitution is -5/24 - √3/24, or approximately -0.315.

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Person C would receive an alarm from the bracelet since their heart rate is above the normal resting heart rate range.

(i) In this specific application, the optimal choice for the LED color would be green. Green light is most commonly used for heart rate monitoring because it is absorbed by both oxygenated and deoxygenated hemoglobin in the blood. This allows for accurate measurement of blood flow changes, even when the device is not tightly fitted to the wrist and may be subject to movement noise. Green light is less affected by variations in skin pigmentation and provides reliable readings in most individuals.

(ii) To determine which person would receive an alarm from the bracelet based on the RR interval, we need to convert the RR interval to heart rate (beats per minute) and compare it to the normal resting heart rate range.

To convert RR interval to heart rate (HR), we can use the formula:

HR (in beats per minute) = 60,000 / RR interval (in milliseconds)

For Person A:

HR = 60,000 / 1000 = 60 beats per minute

For Person B:

HR = 60,000 / 600 = 100 beats per minute

For Person C:

HR = 60,000 / 400 = 150 beats per minute

Comparing the calculated heart rates to the normal resting heart rate range of 60-100 beats per minute, we can determine which person would receive an alarm from the bracelet:

- Person A: HR = 60 bpm (within the normal range)

- Person B: HR = 100 bpm (within the normal range)

- Person C: HR = 150 bpm (above the normal range)

Therefore, Person C would receive an alarm from the bracelet since their heart rate is above the normal resting heart rate range.

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Answer: Let's use "A" to represent Adam's current age, and "T" to represent Teri's current age.

From the first sentence of the problem, we know that:

A = T - 15

This is because Adam is 15 years younger than Teri.

Now let's use the second sentence of the problem. It says that 10 years ago, Tori was 4 times as old as Adam was then. So, if we subtract 10 from each person's current age, we get:

(T-10)/4 = (A-10)

We can simplify this equation by substituting A = T - 15:

(T-10)/4 = ((T-15)-10)

Simplifying this equation further:

(T-10)/4 = (T-25)

Multiplying both sides by 4:

T-10 = 4(T-25)

Distributing the 4:

T-10 = 4T-100

Subtracting T from both sides:

-10 = 3T-100

Adding 100 to both sides:

90 = 3T

Dividing both sides by 3:

T = 30

So Teri is currently 30 years old. Using A = T - 15, we can find that Adam is:

A = T - 15 = 30 - 15 = 15

So Adam is currently 15 years old.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

She wants ONE white shirt and ONE pants and shoes

The sequence 200, 40, 8, ... is a geometric sequence. Let's define the geometric sequence before we explain why the above sequence is geometric. In a geometric sequence, each term is multiplied by the same common ratio to obtain the next term.

A geometric sequence can be represented by the formula a, ar, ar^2, ar^3, ... , where a is the first term, r is the common ratio, and ar, ar^2, ar^3, ... are the successive terms. The common ratio can be calculated using any two consecutive terms in the sequence.To determine if a sequence is geometric or not, we need to check whether the ratio of successive terms is the same. In the given sequence, 200 is the first term, 40 is the second term, and 8 is the third term.

So, the common ratio is =0.2Similarly, the ratio between 40 and 8 is Therefore, the ratio of successive terms is 0.2, which is constant. Hence, the given sequence is a geometric sequence.

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The difference between the given values of |-10| and 19 is - 9

What is an algebraic expression ?

Algebraic expression can be defined as the combination of variables , constants and exponents .

Algebraic expressions are the idea of expressing numbers the use of letters or alphabets with out specifying their actual values. The fundamentals of algebra taught us the way to explicit an unknown value the use of letters such as x, y, z, and so on. these letters are called here as variables. An algebraic expression may be a aggregate of both variables and constants. Any cost this is placed before and extended by way of a variable is a coefficient.

Given values ,

|-10| and 19

the difference ,

|-10| - 19 = 10-19

= -9

Hence, The difference between the given values of |-10| and 19 is - 9

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Answer:

false

Step-by-step explanation:

The statement "Construct validity ensures that the measure includes an adequate and representative set of items." is true because researchers can determine the extent to which a measure has construct validity and whether it includes an adequate and representative set of items.

Construct validity is established by accumulating evidence through various means. One way to establish construct validity is by examining the content of the measurement tool. This involves carefully selecting items that represent the construct of interest.

In mathematical terms, we can think of construct validity as a process of creating a mathematical model that accurately reflects the construct being measured. This model should include a comprehensive set of items that adequately represent the construct.

In practice, researchers employ statistical techniques such as factor analysis to examine the relationships between the items and the construct.

Construct validity also involves assessing the convergent and discriminant validity of the measure. Convergent validity refers to the degree to which different items measuring the same construct are positively related to each other.

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Veronica paid $14.80 in total for her meal.

To calculate the total cost of Veronica's meal, you need to add the cost of the meal to the tax, and then add the tip to that subtotal.

First, you can calculate the amount of tax paid on the meal by multiplying the meal cost by the tax rate, which is 8% or 0.08

Tax = 11.92 × 0.08 = 0.9544

Round the tax to the nearest cent:

Tax = $0.95

Then, you can calculate the subtotal by adding the meal cost and the tax:

Subtotal = 11.92 + 0.95 = 12.87

Next, you can calculate the tip by multiplying the subtotal by 15% or 0.15:

Tip = 12.87 × 0.15 = 1.9305

Round the tip to the nearest cent:

Tip = $1.93

Finally, you can calculate the total cost of the meal by adding the subtotal and the tip

Total Cost = 12.87 + 1.93 = 14.80

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To set the data type of the registerdate field to "date", the syntax would depend on the programming language or database management system being used. However, here are some examples:

In SQL, the syntax would be:

ALTER TABLE tablename MODIFY COLUMN registerdate DATE;

This statement modifies the registerdate column in the tablename table to have a data type of DATE.

In PHP, the syntax for creating a table with a register date column of data type DATE would be:

CREATE TABLE tablename (

   ...,

   registerdate DATE,

   ...

);

This creates a table called tablename with a column called registerdate of data type DATE.

In Python using SQLAlchemy, the syntax for defining a registerdate column of data type Date in a declarative base would be:

from sqlalchemy import Column, Date

class MyTable(Base):

   __tablename__ = 'mytable'

   registerdate = Column(Date)

This creates a MyTable class with a column called registerdate of data type Date.

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To set the data type of the registerdate field to "date", the syntax would depend on the specific programming language or database system being used. However, a common syntax to set the data type to "date" is:
registerdate DATE;
This syntax would typically be used in the creation of a table or the declaration of a variable in a programming language that supports date data types.

To identify a syntax that sets the data type of the 'registerdate' field to "date", you can use the following SQL statement:

```sql
CREATE TABLE your_table_name (
   registerdate DATE
);
```

Here's a step-by-step explanation of the syntax:
1. "CREATE TABLE" is the command to create a new table in the database.
2. "your_table_name" should be replaced with the desired name for your table.
3. Within the parentheses, you define the columns and their data types.
4. "registerdate" is the name of the field that you want to set the data type for.
5. "DATE" is the data type you are setting for the 'registerdate' field.

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Answer:

C. 3x+6y=9  and-2x-4y=4

Step-by-step explanation:

Given

Steps:

The attachment completes the question

(a): -2x+4y=4 and -3x+6y=6

Multiply by 2: \(-2x+4y=4 ===> -4x + 8y = 4\)

Multiply by 3: \(-3x+6y=6 ===> -6x + 12y = 12\)

Add together

\(-4x - 6x + 8y + 12y = 4 + 12\)

\(-10x + 20y = 16\)

B. 3x+y=12  and -3x+6y=6

Multiply by 2: \(3x+y=12 ===> 6x + 2y = 24\)

Multiply by 3: \(-3x+6y=6 ==> -9x + 18y = 18\)

Add together:

\(6x - 9x + 2y + 18y = 24 + 18\)

\(-3y + 10y = 42\)

C. 3x+6y=9  and-2x-4y=4

Multiply by 2: \(3x+6y=9 ===>6x + 12y = 18\)

Multiply by 3: \(-2x-4y=4 ===> -6x - 12y = 12\)

Add together:

\(6x - 6x + 12y - 12y = 18 + 12\)

\(0 = 30\)

This is the equation the student could have used because 0 = 30 means the equation has no solution.

By using the z-score, it can be concluded that the percentage of employees earn approximately between $59000 and $67000 is 23.29%.

z-score is the standard value or the amount of deviation of a value from the mean.

z = (x - μ) / σ   where:

x = the observed value

μ = the mean

σ = the standard deviation

We know that x (salaries of employees) is normally distributed with:

μ = $55000

σ = $6200

We want to find the percentage of employees earning approximately between $59000 and $67000.

First, we find the z score of each salary limit:

z = (x - μ) / σ

  = (59000 - 55000) / 6200

  = 4000 / 6200

  = 0.65

z = (x - μ) / σ

  = (67000- 55000) / 6200

  = 12000 / 6200

  = 1.94

P(59000<x<67000) = P(0.65 < z < 1.94)

                                 = 0.25941 - 0.026465

                                 = 0.232945

                                 ≈ 23.29%

Thus the percentage of employees earn approximately between $59000 and $67000 is 23.29%.

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The solution of the given initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.

To solve the initial value problem, we start by finding the complementary solution, which satisfies the homogeneous differential equation y'' + y = 0. The complementary solution is given by y_c(t) = A sin(t) + B cos(t), where A and B are constants to be determined.

Next, we find the particular solution for the given non-homogeneous term δ(t-2π)cos(t). Since the forcing term is a Dirac delta function at t = 2π, we can write the particular solution as y_p(t) = K(t-2π)cos(t-2π), where K is a constant to be determined.

Applying the initial conditions y(0) = 0 and y'(0) = 1, we can solve for the constants A, B, and K. Plugging in these initial conditions into the general solution, we find A = 0, B = 1, and K = 1.

Therefore, the solution of the initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.

The initial value problem with the given conditions is solved by finding the complementary solution and the particular solution. The solution is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function. This solution satisfies the given initial conditions y(0) = 0 and y'(0) = 1.

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Answer:

7

Step-by-step explanation:

I) Construct an expression to find the answer:

2(2) - 3(-1)

II) Simplify/Solve:

2(2) - 3(-1)

= 4 - (-3)

= 7

Answer:

7

Step-by-step explanation:

Substitute 2 for x and -2 for y

2(2) - 3(-1)

4 - -3 = 7

Answer:

Number of people in each car = x = 8

Number of people in each van = y = 22

Step-by-step explanation:

Let

Number of people in each car = x

Number of people in each van = y

8x + 8y = 240 (1)

4x + y = 54 (2)

From (2)

4x + y = 54 (2)

y = 54 - 4x

Substitute y = 54 - 4x into (1)

8x + 8y = 240 (1)

8x + 8(54 - 4x) = 240

8x + 432 - 32x = 240

8x - 32x = 240 - 432

-24x = -192

x = -192/-24

x = 8

Substitute x = 8 into (2)

4x + y = 54 (2)

4(8) + y = 54

32 + y = 54

y = 54 - 32

y = 22

Number of people in each car = x = 8

Number of people in each van = y = 22

The probability of correctly choosing 4 numbers that match 4 randomly selected balls from a bucket of 35 balls is 1/52360.

To calculate the probability of correctly choosing 4 numbers that match 4 randomly selected balls from a bucket of 35 balls with different numbers from 1 to 35, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of possible outcomes:

Since there are 35 balls in the bucket, the total number of possible outcomes is given by the combination formula:

nCr = n! / [(n-r)! * r!]

In this case, we need to choose 4 balls out of 35, so the total number of possible outcomes is:

35C4 = 35! / [(35-4)! * 4!]

Number of favorable outcomes:

We want to choose 4 numbers that match the 4 randomly selected balls. Since there are 4 balls that need to match, we can consider this as choosing all 4 numbers correctly.

There is only 1 way to choose all 4 numbers correctly.

Therefore, the number of favorable outcomes is 1.

Probability:

The probability of an event is given by the formula:

Probability = Number of favorable outcomes / Total number of possible outcomes

In this case, the probability is:

Probability = 1 / 35C4

Now, let's calculate the probability:

35C4 = 35! / [(35-4)! * 4!]

= (35 * 34 * 33 * 32) / (4 * 3 * 2 * 1)

= 52360

Probability = 1 / 52360

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Step-by-step explanation:

I don't know how long answers

Answer:

-24

Step-by-step explanation:

4(x + 2 - 5x)

Combine like terms

4( -4x+2)

Let x =2

4 ( -4*2 +2)

4 ( -8+2)

4 ( -6)

-24

Answer:

Step-by-step explanation:

Where are the equations to choose from?

14 pounds × (1 bag)/(¼ pound) = 56 bags

Answer:

3^6

Step-by-step explanation:

it is correct answer.it will help you.

Answer:

13

Step-by-step explanation:

It is a parallelogram so the opposite angles are the same.

All angles sum to 360 degrees.

This means that the adjacent angles sum to 180 degrees.

4a + 11 + 9a = 180 = 13a + 11

13a = 169

a=13

Answer:

1. Surgeon

2. Physical Therapist

3. Nurse

4. Dentist

5. Radiologist