The blueprint for Zahra's new office measures 4 cm
long and 2 cm wide.
The scale for the blueprint is 6 cm to 15 ft.
What is the actual area of her office?

Answer:

2(8x+1)+2(6x-4)

28x - 6

Step-by-step explanation:

2(8x+1)+2(6x-4)

16x +2 + 12x - 8

28x - 6

To determine the value of the standard normal random variable z for which the area to the right of z is 0.2643, we can use the standard normal distribution table or a statistical software.

The value of z corresponding to an area to the right of z can be obtained by subtracting the given area from 1 since the area to the right is complementary to the area to the left. Therefore, the area to the left of z would be 1 - 0.2643 = 0.7357.

By referring to the standard normal distribution table or using a statistical software, we can find the z-value associated with an area of 0.7357. In this case, the z-value is approximately 0.611, indicating that the value of z for which the area to the right is 0.2643 is approximately 0.611.

To learn more about standard normal distribution click here : brainly.com/question/31327019

#SPJ11

The amount of GST is Rs 9,647.87

Step-by-step explanation:

• The price of a refrigerator = Rs 66,400

• Price including GST

• Rate of GST = 17 %

• The amount of GGS

★ GST Amount = Original cost of the product or service - (Original cost of the product or service) x (100 ) / (100 + GST%)

⇒ 66,400 − (66,400) × (100) / (100 + 17)

⇒ \(\mathsf{66,400 - ( 66,400 \times \dfrac{100}{(100 + 17)} )}\)

⇒ 9,647.87

GST Amount = Rs 9,647.87

∴ The amount of GST is Rs 9,647.87

The expression for  d=rt in terms of the time is t = d/r; t = 5.

Therefore,

In the equation d=rt

                          t = d/r

when distance is 40 and the rate is 8

                          t = d/r

Replace d with 40 and rate with 8

                          t = 40/8

                          t = 5

To learn more about time, refer;

https://brainly.com/question/28050940

#SPJ1

Answer:

the answer is $5,000

Step-by-step explanation:

the question is asking what the initial value of the painting is and in the equation, they are trying to find out how much the painting will cost after t years. the 1.098 is how much the painting decreases each year and it is being multiplied by &5000 so $5000 is the original value of the painting.

Answer:

y=6,000x  

Step-by-step explanation:

If y is equal to the amount of milk and 6000 gallons are produced per hour, then you must multiply the number of hours (x) by 6000 gallons of milk produced in 1 hour, so y=6,000x

Note:

those three (or the last three) answers are basically the same

y=x6,000

y=6,000x

y=6,000x

Step-by-step explanation:

so, the scale is 1/4 cm to 1 m.

1 m = 100 cm.

1 m² = 100×100 = 10,000 cm²

that means the scaling factor is 0.25/100 = 1/400

(after multiplying with 4/4).

so, every length in reality has to be multiplied by 1/400 to get the length on the plan.

the area of a rectangle is

length × width.

now, applying the scaling factor means that

length×1/400 × width×1/400 = 40

length × width × 1/400×1/400 = actual area × 1/400² = 40

actual area = 40×400² = 6,400,000 cm²

= 6,400,000 / 10,000 = 640 m²

Answer:

y=5x−2

I hope this helps!

Answer:

47/1000

Step-by-step explanation:

Answer:

457/999

Step-by-step explanation:

I got the answer right

The expected number of votes for Miss Frizzle in the election is 4725

The data that completes the question is as follows:

Miss Frizzle = 45

Miss Reynolds = 75

The expected number of votes for Frizzle is:

Frizzle = 45/120 * 12600

Evaluate

Frizzle = 4725

Hence, the expected number of votes for Miss Frizzle in the election is 4725

Read more about expected values at:

https://brainly.com/question/15858152

#SPJ1

The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To know more about asymptotic complexity refer here:

https://brainly.com/question/30214690#

#SPJ11

Answer:

102

Step-by-step explanation:

These angles are congruent due to corresponding angles thm

3x + 21 = 6x - 60

3x - 6x = -60 - 21

-3x = -81

x = 27

3x + 21

3(27) + 21

81 + 21

102

The option b "The area under the curve is 1." and the option d "It is symmetrical" are true about the probability function for a t distribution.

When the sample size is small and the population standard deviation is unknown, the t-distribution is used in statistics.

Option b confirms that the total area under the t-distribution curve is 1, indicating that the sum of probabilities for all possible outcomes is also equal to 1.

Option d confirms the symmetry of the t-distribution, implying that the curve is balanced on both sides of the mean. The mean, median, and mode of a symmetrical distribution are all equal.

To summarize, the t-distribution is a useful tool in statistics when working with small sample sizes because it accounts for the uncertainty in the population standard deviation.

To learn more about t distribution link is here

brainly.com/question/13574945

#SPJ4

The general solution to the given Cauchy-Euler equation for t > 0 is:

y(t) = C1 * t⁻⁵ + C2 * t⁴

Let's consider the given Cauchy-Euler equation for t > 0:

t²(d²y/dt²) + 2t(dy/dt) - 20y = 0

To solve this equation, we can assume a solution of the form y(t) = tⁿ, where r is a constant to be determined.

Now, let's find the derivatives of y(t) with respect to t:

dy/dt = rtⁿ⁻¹ d²y/dt² = r(r-1)tⁿ⁻²

Substituting these derivatives back into the Cauchy-Euler equation, we get:

t²(r(r-1)tⁿ⁻²) + 2t(rtⁿ⁻¹) - 20tⁿ = 0

Simplifying this equation, we have:

r(r-1)tⁿ + 2rtⁿ - 20tⁿ = 0

Factoring out tⁿ, we get:

tⁿ [r(r-1) + 2r - 20] = 0

Since t > 0 for the given equation, we can divide both sides of the equation by tⁿ to obtain:

r(r-1) + 2r - 20 = 0

Expanding and rearranging this equation, we get:

r² + r - 20 = 0

Now, we can solve this quadratic equation for r. Factoring it, we have:

(r + 5)(r - 4) = 0

Setting each factor equal to zero, we find two possible values for r:

r + 5 = 0, which gives r = -5 r - 4 = 0, which gives r = 4

These values of r represent the roots of the characteristic equation associated with the Cauchy-Euler equation. Since we have two distinct roots, the general solution to the Cauchy-Euler equation can be written as a linear combination of the corresponding solutions:

y(t) = C1 * t⁻⁵ + C2 * t⁴

Where C1 and C2 are arbitrary constants that can be determined using initial conditions or boundary conditions if provided.

To know more about Cauchy-Euler equation here

https://brainly.com/question/12977984

#SPJ4

no solution off the bus 60th and you can get

Answer:

Step-by-step explanation:

Answer:

◽Angle 14 and Angle 12

◽Angle 10 and Angle 8

Step-by-step explanation:

Vertical angles are opposite to each other on a pair of intersecting lines.

◽Angle 1 and Angle 4

These angles are not on the same two intersecting lines.

◽Angle 14 and Angle 12

These angles are on the same two intersecting lines. They are also opposite to each other.

◽Angle 7 and Angle 8

These angles are on the same intersecting lines, but they are not opposite to each other.

◽Angle 10 and Angle 8

They are on the same pair on lines, and opposite to each other.

◽Angle 3 and Angle 5

They are not on the same pair of intersecting lines.

◽Angle 8 and Angle 12

These angles are not on the same pair on intersecting lines. (However, they are also equal because they are corresponding, on the insides of an "F" pattern).

The pairs of angles are congruent because they are vertical angles that will be ∠14 & ∠12, ∠11 & ∠13, ∠10 & ∠8, and ∠7 & ∠9. Then the correct option is A.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

By the vertical angle property, then we have

∠14 = ∠12

∠10 = ∠8

∠7 = ∠9

∠11 = ∠13

The pairs of angles are congruent because they are vertical angles that will be ∠14 & ∠12, ∠11 & ∠13, ∠10 & ∠8, and ∠7 & ∠9. Then the correct option is A.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ6

The missing diagram is given below.

The solution is :

To get to system B the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 4. The solution to system B is the same as the solution to system A.

Here, we have,

A system of equations and it’s solution are given below.

System A.

x-y=3

-2x+4y=-2

Solution: (5,2)

Complete the sentences to explain what steps were followed to option the system of equations below.

System B

x-y=3

2x=10

To get to system B the (first/second) equation in system A was replaced by the sum of that equation and the (first/second) equation multiplied by (4....2.....-3) . The solution to system B (is/ is not) the same as the solution to system A.

Solution:

To get system B:

First write the first equation in system A. x - y = 3

Multiply the second equation in system A by 4 and add to the first equation in system A to get:

2x = 10

x = 10/2 = 5

Put x = 5 in x - y = 3

5 - y = 3

y = 5 - 3 =2

The solution to system B is the sam as that of system A

To get to system B the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 4. The solution to system B is the same as the solution to system A.

To learn more on equation click:

brainly.com/question/24169758

#SPJ1

The methods involving the collection, presentation, and summarization of a set of data to describe its various features are known as data analysis techniques.

Data analysis techniques refer to the processes and methods used to examine and interpret data in order to gain insights and draw meaningful conclusions. These techniques are crucial in transforming raw data into valuable information that can be used for decision-making and problem-solving.

The first step in data analysis is data collection, where relevant data is gathered from various sources such as surveys, experiments, or databases. Once the data is collected, it needs to be organized and presented in a meaningful way. This may involve techniques such as data visualization, where graphs, charts, and other visual representations are used to convey the data's patterns, trends, and relationships.

After data presentation, the next step is data summarization. This involves condensing and summarizing the data to highlight key findings and characteristics. It can include statistical measures such as mean, median, and standard deviation, as well as data aggregation techniques like grouping, categorization, and summarizing data using measures such as percentages or proportions.

Overall, data analysis techniques play a vital role in understanding the various features of a dataset, enabling researchers, analysts, and decision-makers to make informed choices based on the insights gained from the data.

Learn more about set here:

https://brainly.com/question/1040490

#SPJ11

The probability that the proportion of the sampled teenagers who own a smartphone is between 0.35 and 0.45 is \(P(X) = 100Cx (0.4)^x (1-0.4)^(100-x).\)

The formula is \(P(X) = nCx (p)^x (1-p)^(n-x)\), where n is the number of trials, x is the number of successes, and p is the probability of success for one trial. In this case, n represents the number of teenagers sampled, x represents the number of teenagers who own a smartphone, and p represents the probability that any one teenager owns a smartphone.

First, let us calculate p. The probability of success (owning a smartphone) is the proportion of the sampled teenagers who own a smartphone, which is between 0.35 and 0.45. Since the probability of success lies between 0.35 and 0.45, we can take the average of these numbers, which is 0.4. This number (0.4) is p.

Next, let us calculate x. The number of successes (teenagers who own a smartphone) is the proportion of the sampled teenagers who own a smartphone, which is between 0.35 and 0.45. Since the number of successes lies between 0.35 and 0.45, we can take the average of these numbers, which is 0.4. This number (0.4) is x.

Finally, we can calculate n. We know that the number of teenagers sampled is 100, so n = 100.

\(P(X) = 100Cx (0.4)^x (1-0.4)^(100-x).\)

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ4

Answer:

49 + 9x units

Step-by-step explanation:

perimeter is sum of all the sides

The graph of line a and line b is shown in the image attached below. The lines do not intersect each other.

To check if both lines intersect, we need to graph the system of equations. First, use the points given to write out the equations.

Line a:

Slope (m) = change in y / change in x = 6 - 4 / 8 - 0 = 2/8

m = 1/4

Find the y-intercept (b) by substituting m = 1/4, x = 0 and y = 4 into y = mx + b:

4 = 1/4(0) + b

b = 4

The equation of line a is: y = 1/4x + 4.

Line b:

Slope (m) = change in y / change in x = 1 - (-2) / 8 - 0

m = 3/8

Find the y-intercept (b) by substituting m = 3/8, x = 0 and y = -2 into y = mx + b:

-2 = 3/8(0) + b

b = -2

The equation of line b is: y = 3/8x - 2.

Both lines are graphed in the image attached below. Line a is the red line and line b is the red line. They do not intersect at any point.

Learn more about graph of system of equations on:

https://brainly.com/question/14323743

#SPJ1

Answer:

The main cause of deforestation is agriculture (poorly planned infrastructure is emerging as a big threat too) and the main cause of forest degradation is illegal logging. In 2019, the tropics lost close to 30 soccer fields' worth of trees every single minute

Answer: tan 47/1 = x/.5 = x = .53618

Step-by-step explanation:

Using the congruent angle rule, we can get the value of ∠PTQ = 27° and the value of ∠RTS = 63°

Equal amounts of angles are referred to as congruent angles. As a result, congruent angles are those whose measures are the same.

They can be found anywhere, including in isosceles triangles, equilateral triangles, and situations where a transversal joins two parallel lines.

In the given figure, as per the congruent triangle rule:

5x+13 + 90° + ∠PTQ = 180°

Again,

8x-17 + 90° + ∠PTQ = 180°

Solving the first equation for ∠PTQ, we get:

∠PTQ = 77-5x

Solving the second equation for ∠PTQ, we get:

∠PTQ = 107-8x

Now,

77 - 5x = 107 - 8x

⇒ -5x + 8x = 107-77

⇒ 3x = 30

⇒ x = 10.

Putting the value of x in any equation:

∠PTQ = 77-5x

= 77-50

= 27°

Now ∠RTS = 5x+13

= 50 +13

=63°

To know more about congruent angles, visit:

https://brainly.com/question/16448127

#SPJ1

Answer:

Step-by-step explanation:

Parallel line have the same slope.  Put the reference line is y=mx+b format.  m will be the slope.  A parallel line must have the same m.  Example:

y=2x+5 has a slope of 2 and a y-intercept of 5 (the value of y when x is 0).  Any line witrh the same slope will be parallel.  So with can write y=2x+b, where we'll change the y-interecpt so the the lines don't overlap.  Once we know the parallel line must be y = 2x+b, we can enter the known point, e.g., (3,14), and calculate b:

y=2x+b

14=2*3+b

14=6+b

b=8

The parallel line to y=2x+5 is y=2x+8:  It is parallel and goes through the point (3,14).

We can use proof by construction to prove the statement, and proof by contradiction to disprove it.To prove or disprove the statement "for every rational number, there is another larger irrational number," we need to choose an appropriate proof method.

One method that could be used to prove this statement is proof by construction, where we construct an example that satisfies the statement. To prove this statement, we can construct a specific irrational number that is larger than any given rational number. One example of such a number is the square root of 2, which is irrational and larger than any rational number.

On the other hand, to disprove this statement, we need to find a counterexample. We can use proof by contradiction, where we assume the statement is true and then show that it leads to a contradiction. For example, suppose we assume that for every rational number, there is another larger irrational number. Then, we can take the irrational number sqrt(2) and subtract any rational number from it to get a new irrational number that is smaller than sqrt(2), contradicting our assumption. Therefore, we can conclude that the statement is false.

In summary, we can use proof by construction to prove the statement, and proof by contradiction to disprove it.

Find out more about proof by construction

brainly.com/question/16905951

#SPJ4