Which diagram represents a fraction equivalent to 75%?

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

For more such questions on rank

https://brainly.com/question/28839672

#SPJ8

answer would be A because it u factor it out you will get your initial equation

Answer:

-1.5

Step-by-step explanation:

Answer:

Y=-4x+12

Step-by-step explanation:

Using point slope form:

Y-4= -4(x-2)

Y= -4x+8+4

Y=-4x+12

Answer:

y = -4x + 12

Step-by-step explanation:

(4) = -4(2) + b

4 = -8 + b

4 + 8 = b

12 = b

The first step is to find the values of x and y. From the information given,

x is the cost of an adult ticket and y is the cost of a child ticket. The system of equations is shown below

3x + 5y = 50

x + 5y = 31

From the second equation,

x = 31 - 5y

We would substitute x = 31 - 5y into 3x + 5y = 50. We have

3(31 - 5y) + 5y = 50

By expanding the parentheses, we have

93 - 15y + 5y = 50

- 15y + 5y = 50 - 93

- 10y = - 43

Dividing both sides of the equation by - 10,

- 10y/- 10 = - 43/- 10

y = 4.3

Substituting y = 4.3 into x = 31 - 5y, we have

x = 31 - 5 * 4.3 = 31 - 21.5

x = 9.5

If an adult ticket costs $9.5, then the cost of 4 adult tickets is

4 x 9.5 = $38

The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%

a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.

b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).

Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).

Now, let's calculate the real interest rate.

Real interest rate in base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)

= 19.22%.

The real interest rate has moved in the direction to move inflation rate towards its target.

c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.

Inflation gap is 0% in both the scenarios

Inflation rate is 3.14% and in scenario C, inflation rate is 2%.

Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)

= 20.15%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.

The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.

For more related questions on inflation gap:

https://brainly.com/question/31419643

#SPJ8

Answer:

false

Step-by-step explanation:

only right triangles

Answer:

false

Step-by-step explanation:

The converse of the Pythagorean theorem is used to find the length of the hypotenuse of a right triangle.

If weekday is true and miles is less than 10, then the Boolean variable available is set to true.

Step 1: Check if weekday is true

Step 2: Check if miles is less than 10

Step 3: If both conditions are true, then set the Boolean variable available to true

Step 1: Check if weekday is true. This is done by checking if the Boolean variable weekday is set to true. If it is, then proceed to the next step.

Step 2: Check if miles is less than 10. This is done by using the integer variable miles and checking if it is less than 10. If it is, then proceed to the next step.

Step 3: If both conditions are true, then set the Boolean variable available to true. This is done by setting the Boolean variable available to true if the conditions from the previous steps are both true. If not, then the Boolean variable available is set to false.

Learn more about miles here

https://brainly.com/question/23245414

#SPJ4

The area of rhombus CDEF is approximately 90.3 square units.

What is rhombus?

A rhombus is a special type of parallelogram in which all four sides are of equal length. Equivalently, a rhombus is a quadrilateral with four sides of equal length.

We can see that triangle CEF is a right triangle, and we can use the Pythagorean theorem to find the length of CE:

CE² = CF² + EF²

We know that CF = DF/2 = 16.4/2 = 8.2 and that EF = CE/2, so we can rewrite the equation as:

CE² = (8.2)² + (CE/2)²

Expanding and simplifying:

CE² = 67.24 + 0.25CE²

0.75CE² = 67.24

CE² = 89.65

CE ≈ 9.5

Now we can find the length of diagonal DF, which is also equal to 2CE:

DF = 2CE ≈ 19

The area of the rhombus can be calculated as:

Area = (CE × DF) / 2

Area = (9.5 × 19) / 2

Area ≈ 90.3

Therefore, the area of rhombus CDEF is approximately 90.3 square units.

To learn more about rhombus from the given link:

https://brainly.com/question/27870968

#SPJ1

Answer:

x = 7

Step-by-step explanation:

Find the point on the graph that has the y-value of 8. Determine its x-value.

To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.

To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.

First, let's isolate the absolute value term on one side of the equation:

|3x + 3| = -3

Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.

To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:

   3x + 3 = -3

   -(3x + 3) = -3

Solving equation 1:

3x + 3 = -3

3x = -6

x = -2

Solving equation 2:

-(3x + 3) = -3

-3x - 3 = -3

-3x = 0

x = 0

For such more question on equation

https://brainly.com/question/29174899

#SPJ8

Answer:

12

Step-by-step explanation:

arrange the numbers in ascending order and cross out from either side till you have a middle line

FINAL ANSWER:

12

Step-by-step explanation:

Median is the middle number in the data set.

so first of ... we need to arrange the group of numbers from lower to greater.

16, 12, 10, 15, 7, 9, 16 ⇒ 7, 9, 10, 12, 15, 16, 16

Now that we have arranged the numbers from least to greatest all we need to do is to find the middle number of the data set (data set? they are the group of numbers)

Ok, so what you want to do here is to just count the numbers until you get to the middle number of the data set...

7, 9, 10, 12, 15, 16, 16

the median in the given data set is 12.

I hope this helps you!!! Let me know if my answer is incorrect or not...

HAVE A GREAT DAY AND GOD BLESS YOU ;)!!!

We have Ux =  127.2 ft while we have σx =  1.985 ft

The normal distribution =  127.2 ft

The standard deviation = 27.5 ft

The random sample n is given as n = 192 trees.

sd / √n

= 27.5/√192

= 1.985 ft

Hence we have Mx = 127.2 ft

σx =  1.985 ft

127.2 + 2(1.985) = 131.17

127.2 - 2(1.985) = 123.23

Read more on standard deviation here: https://brainly.com/question/475676

#SPJ1

Answer:

7p, 7*p

Step-by-step explanation:

The time taken for the trip will be 12.7 hours.

It should be noted that time taken is calculated as:

Time = Distance / Speed

Distance = 700 miles

Speed = 55 mph

Time = 700/55

Time = 12.7 hours.

Therefore, the time taken for the trip will be 12.7 hours.

Learn more about expressions on:

brainly.com/question/22048677

#SPJ1

Step-by-step explanation:

this is the answer in the picture

To determine the total energy consumption of refrigerator A in a day, we need to first convert the power usage from watts to kilowatts.

500 watts/hour * 1 kilowatt/1000 watts = 0.5 kilowatts/hour

Next, we can calculate the energy consumption in kilowatt-hours (kWh) per day:

0.5 kilowatts/hour * 12 hours/day = 6 kilowatt-hours/day

To find the daily cost of running the refrigerator, we can multiply the energy consumption by the cost per kWh:

6 kWh/day * $0.12/kWh = $0.72/day

To calculate the yearly cost of running the refrigerator, we can multiply the daily cost by 365 days:

$0.72/day * 365 days = $262.80/year

To calculate the total cost of running the refrigerator for 20 years, we can multiply the yearly cost by 20:

$262.80/year * 20 years = $5,256.00

In addition to the cost of running the refrigerator, there is also the cost of purchasing the unit itself. In this case, the cost is $1,000.

Therefore, the total cost of owning and operating Refrigerator A for 20 years is:

$5,256.00 (operating cost) + $1,000.00 (purchase cost) = $6,256.00

It's worth noting that this calculation assumes that the cost of electricity remains constant over the 20-year lifespan of the refrigerator. In reality, the cost of electricity may increase over time, which would increase the overall cost of running the refrigerator.

To know more about energy: https://brainly.com/question/2409175

#SPJ4

5 + 4(n + 9) = -3 ​

distributing,

5 + 4n + 4*9 = -3

5 + 4n + 36 = -3

combining similar terms

4n + 41 = -3

41 is adding on the left, then it will subtract on the right

4n = -3 - 41

4n = -44

4 is multiplying on the left, then it will divide on the right

n = -44/4

n = -11

The probability distribution for x is:

x P(x)

0 0.214

1 0.571

2 0.214

Since there are 8 cameras in the box, the total number of ways to choose 2 cameras from the box is given by the combination formula:

C(8,2) = 8!/(2!×(8-2)!) = 28

So there are 28 possible ways to choose a sample of 2 cameras.

Now, let's calculate the probability of each possible value of x:

When x = 0, both cameras in the sample are non-defective. The number of ways to choose 2 non-defective cameras from the 4 non-defective cameras in the box is given by the combination formula:

C(4,2) = 4!/(2!×(4-2)!) = 6

So the probability of x = 0 is:

P(x=0) = (number of ways to choose 2 non-defective cameras)/(total number of ways to choose 2 cameras)

= 6/28

= 0.214

When x = 1, one camera in the sample is defective and the other is non-defective. The number of ways to choose 1 defective camera from the 4 defective cameras in the box and 1 non-defective camera from the 4 non-defective cameras in the box is given by the product of the corresponding combinations:

C(4,1) × C(4,1) = 4×4 = 16

So the probability of x = 1 is:

P(x=1) = (number of ways to choose 1 defective camera and 1 non-defective camera)/(total number of ways to choose 2 cameras)

= 16/28

= 0.571

When x = 2, both cameras in the sample are defective. The number of ways to choose 2 defective cameras from the 4 defective cameras in the box is given by the combination formula:

C(4,2) = 4!/(2!×(4-2)!) = 6

So the probability of x = 2 is:

P(x=2) = (number of ways to choose 2 defective cameras)/(total number of ways to choose 2 cameras)

= 6/28

= 0.214

Therefore, the probability distribution for x is:

x P(x)

0 0.214

1 0.571

2 0.214

to know more about probability

brainly.com/question/30034780

#SPJ1

Answer:

A, C, and E

Step-by-step explanation:

-2, 0, and 5

Answer:

-2, 0, 5

Step-by-step explanation:

Answer:

d.revenies increased by 500

Answer:

What do you need to know?

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

8 = 6x + -2x

8 = 4x

8 = 4x

4 4

2 = x

Answer:

part A is 11                

B = 13

C = 1

Not all intersecting lines are perpendicular.

Perpendicular lines require a 90-degree angle of intersection, creating the formation of right angles.

Nonetheless, unlike perpendicular lines that necessitate exactly 90 degrees of intersections, other types of driven lines can be at varying angles beside these.

As such, it is critical to highlight that in general intersecting lines come with different angles of intersection, and only those featuring exact 90-degree angle of intersection become normal cases of intersecting lines, becoming one among many subtypes existing today.

Learn more about perpendicular lines at

https://brainly.com/question/1202004

#SPJ1

Answer:   the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): x ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.

Step-by-step explanation:

since f(x) = x + 4 and g(x) = x -  1

then f/g = x + 4/x - 1

the denominator of a function cannot be zero since a fraction with a denominator of zero is undefined.

∴  x - 1 ≠ 0

the value of x when g(x) = 0 is

       x - 1 = 0

       x = 1

∴ x ≠ 1

Therefore the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): x ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.

Answer:

more than 3 I think

Step-by-step explanation: