Reduce the following equation to its lowest form. Show al working out. F=(DE)(CD)(G+G) Question 9 (De Morgan's Theorem) Simplify the following equation ysing De Morgan's theorem and Boolean algebra show ail the steps. F=WY+yz+W+y

Answer:

-12

Step-by-step explanation:

-15+3=x

-12=x

Hope u liked it

The probability of obtaining tails and the number 5 is 1/12

the probability of obtaining an even number is 1/2

P(heads and prime number)  1/4

Since the events are independent, the probability of obtaining tails and the number 5 is:

P(tails and 5) = P(tails) * P(5) = (1/2) * (1/6) = 1/12

The coin toss outcome is irrelevant, so the probability of obtaining an even number is:

P(even number) = 1/2

The probability of obtaining heads and a prime number is:

P(heads and prime number) = P(heads) * P(prime number) = (1/2) * (1/2) = 1/4

Learn more about probability on

https://brainly.com/question/24756209

#SPJ1

Answer:

A

Step-by-step explanation:

4(0.5x+2.5y-0.7x-1.3y+4)

=2x+10y-2.8x-5.2y+16

=-0.8x+4.8y+16

hope this helps :)

Answer:

3

Step-by-step explanation:

Slope formula, change if y over change of x

14 - 8 = 6

5 - 3 = 2

6/2 = 3

Answer:

b

Step-by-step explanation:

The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.

The probability that Melinda will be able to make an integer between 10 and 20 (inclusive) with the two numbers she rolls can be calculated by determining the number of favorable outcomes and dividing it by the total number of possible outcomes.

To find the number of favorable outcomes, we need to identify the combinations of two numbers that will result in a two-digit number between 10 and 20. We can list these combinations as follows:

11, 12, 13, 14, 15, 16

Notice that we only have six favorable outcomes.

Now, let's determine the total number of possible outcomes when rolling two six-sided dice. Each die has six possible outcomes (1, 2, 3, 4, 5, 6), so the total number of outcomes is 6 multiplied by 6, which equals 36.

To calculate the probability, we divide the number of favorable outcomes (6) by the total number of possible outcomes (36):

Probability = Favorable outcomes / Total outcomes
Probability = 6 / 36
Probability = 1 / 6

Therefore, the probability that Melinda will be able to make an integer between 10 and 20 (inclusive) is 1/6.

Learn more about probability from the link:

https://brainly.com/question/13604758

#SPJ11

10 is the value of x from the given figure.

The given figure is a circle geometry. In order to determine the value of x, we will use the theorem;

The angle at the vertex is half the sum of the angles at the intercepted arcs.

60 = 1/2(55+5x+15)

120 = 5x + 70

5x = 120 -70

5x = 50

Divide both sides by 5

5x/5 = 50/5

x =10

Hence the value of x from the given figure is 10

Learn more on circle geometry here: https://brainly.com/question/24375372

#SPJ1

You would state that the length of the building is 30 meters.

To find the length of a building, you would typically follow these steps:

1. Identify the starting point and ending point of the building: Determine the two points that represent the length of the building. For example, these points could be the front and back walls of the building.

2. Measure the distance between the two points: Use a measuring tape or any other suitable measuring tool to measure the distance between the identified starting and ending points. Ensure that you measure along a straight line and consider any obstructions or irregularities.

3. Record the measurement: Once you have obtained the distance between the two points, record this measurement in a suitable unit of length, such as meters or feet.

4. Provide the length of the building: State the recorded measurement as the length of the building. For example, if the measurement is 50 meters, you would state that the length of the building is 50 meters.

To illustrate this process with an example, let's consider a scenario where you are asked to find the length of a rectangular building. You measure the distance between the front and back walls of the building and find it to be 30 meters. Therefore, you would state that the length of the building is 30 meters.

Know more about length here:

https://brainly.com/question/2497593

#SPJ11

After 30 minutes, there are 24 gallons within the water tank due to cross multiplication.

How to Use Cross Multiplication to Estimate the Filling Time of a Water Tank?

The gained capacity is calculated by multiplying the following cross multiplication by the water capacity, which is directly proportional to the filling time:

Where:

By substituting the values:

Therefore, after 30 minutes, there are 24 gallons within the water tank due to cross multiplication.

To learn more about cross multiplication refer to:

brainly.com/question/15209325

#SPJ1

The correct answer is $32.09.

To determine the time it takes to pay off the stereo system, we need to calculate the number of months based on the minimum monthly payment and the compound interest.

Given that Shannon makes a payment of $10 at the end of each month, we can use the formula for compound interest:

Future Value = Present Value * (1 + (APR/n))^(n*t)

Where:
- Future Value is the amount owed
- Present Value is the initial amount owed
- APR is the annual percentage rate
- n is the number of times interest is compounded per year
- t is the time in years

In this case, the initial amount owed is $10, APR is 12%, n is 12 (since interest is compounded monthly), and t is the number of months it takes to pay off the stereo system.

To find the time it takes to pay off the stereo system with a minimum monthly payment of $20, we can solve for t in the equation:

$10 * (1 + (0.12/12))^(12*t) = $0

Simplifying the equation, we get:

(1 + 0.01)^t = 0

Since any positive number raised to the power of t will be positive, there is no solution for t. This means that Shannon will not be able to pay off the stereo system with a minimum monthly payment of $20.

To find out how much quicker Shannon will pay off the stereo system by making twice the minimum monthly payment, we need to calculate the new time in months.

Using the same formula as before, with a minimum monthly payment of $20, we have:

$10 * (1 + (0.12/12))^(12*t) = $0

Simplifying the equation, we get:

(1 + 0.01)^t = 0

Again, there is no solution for t. This means that Shannon will not be able to pay off the stereo system with a minimum monthly payment of $20.

To determine the minimum monthly payment required to pay off the stereo system in one year, we need to solve for the payment amount in the equation:

$10 * (1 + (0.12/12))^(12*12) = $0

Simplifying the equation, we get:

(1 + 0.01)^12 = 0

Taking the 12th root of both sides, we get:

1 + 0.01 = 0

Simplifying further, we find that the minimum monthly payment required to pay off the stereo system in one year is $32.09.

Therefore, the correct answer is $32.09.

To know more about Compound Interest:

https://brainly.com/question/3989769

#SPJ11

Answer:

The team scored 7 points a game

Step-by-step explanation:

Answer:

x=59

Step-by-step explanation:

For the complex numbers -3+5i and 2-i3, the real and imaginary parts are as follows:

-3+5i: Real part = -3, Imaginary part = 5

2-i3: Real part = 2, Imaginary part = -3

A complex number is expressed in the form a+bi, where a is the real part and bi is the imaginary part. In the given examples, we have:

-3+5i: The real part is -3, which represents the horizontal component of the complex number, and the imaginary part is 5, which represents the vertical component.

2-i3: The real part is 2, representing the horizontal component, and the imaginary part is -3, representing the vertical component.

The real part of a complex number represents the value on the real number line, while the imaginary part represents the value on the imaginary number line. The imaginary part is multiplied by the imaginary unit 'i', which is defined as the square root of -1. Together, the real and imaginary parts form the complex number and can be used to perform various operations in complex arithmetic.

Learn more about Complex numbers

brainly.com/question/24296629

#SPJ11

P = 90 is the solution for the given equation.

Given: Qd=95−4

PQs=5+P

To find Qd if P=5:

Put P = 5 in the equation

Qd=95−4P

Qd = 95 - 4 x 5

Qd = 75

So, Qd = 75.

To find P if Qs = 20:

Put Qs = 20 in the equation

Qs = 5 + PP

= Qs - 5P

= 20 - 5P

= 15

So, P = 15.

To solve Qd=Qs, substitute Qd and Qs with their respective values.

Qd = Qs

95 - 4P = 5 + P

Subtract P from both sides.

95 - 4P - P = 5

Add 4P to both sides.

95 - P = 5

Subtract 95 from both sides.

- P = - 90

Divide both sides by - 1.

P = 90

Thus, P = 90 is the solution for the given equation.

To know more about substitute visit

https://brainly.com/question/29383142

#SPJ11

Answer:

2/8 more

Step-by-step explanation:

5/8 - 3/8 = 2/8

The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.

The volume of the larger sphere = 64π cm³

let us take the radius of the larger sphere r

So, 4/3*π*r³ =64π

r³=48

r=2∛6

The surface area of a sphere with radius r is 4πr².

So, the surface area of the larger sphere = 4π(2∛6)²

The surface area of the larger sphere = 16π∛36

Hence, The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.

To get more about spheres visit:

https://brainly.com/question/10171109

Researchers in a certain country investigated how having daughters influences voting o women's issues by members of the federal government: The 95% confidence interval for β1 is (0.046, 0.874).

To find the 95% confidence interval for β1, we use the formula:

β1 ± t * sβ1,

where β1 is the estimated coefficient, sβ1 is the standard error of β1, and t is the critical value from the t-distribution with degrees of freedom equal to the sample size minus the number of predictors.

In this case, the reported values are:

β^1 = 0.46 (estimated coefficient)

sβ1 = 0.43 (standard error of β1)

The sample size (n) is not given, so we cannot calculate the exact value of t. However, we can assume that the sample size is large enough to use the normal distribution approximation, which corresponds to a z-value for the 95% confidence level.

Using the z-value for a 95% confidence level (which is approximately 1.96), the confidence interval can be calculated as:

0.46 ± 1.96 * 0.43 = (0.046, 0.874).

Therefore, we can say with 95% confidence that the true value of β1 lies within the interval (0.046, 0.874).

To know more about confidence interval, refer here:

https://brainly.com/question/32546207#

#SPJ11

A stacked bar chart would be the best graphic to display the data. A stacked bar chart is a bar chart that shows different segments of the data as different parts of each bar.

Each bar represents the total frequency of a category, and the segments within the bar represent the proportion of each category. In this case, the categories are the five Gulf Coast states.

The stacked bar chart will allow the technical writer to show the proportion of hurricanes that have hit each state over time. The x-axis can represent the years from 1900 to 2005, and the y-axis can represent the proportion of hurricanes that hit each state. The height of each bar represents the total proportion of hurricanes that hit all five states, and each segment represents the proportion of hurricanes that hit each state.

By using a stacked bar chart, the technical writer can easily show the changes in hurricane patterns over time. The audience will be able to see which states have been hit more frequently and which states have been hit less frequently. This information can be valuable for people who live in the Gulf Coast region, as it can help them to understand the risks of hurricanes and to prepare accordingly.

Additionally, the stacked bar chart is easy to understand, even for people who are not familiar with statistical concepts. The chart can be designed to be visually appealing and easy to read, which can help to increase the impact of the safety brochure.

Learn more about stacked bar chart at: brainly.com/question/29976638

#SPJ11

Inverse distance weighting is a useful tool for estimating values at unsampled locations in geostatistics. Another advantage of inverse distance weighting is that it allows for the incorporation of multiple variables into the estimation process.

Inverse distance weighting is a method used in geostatistics to estimate values at unsampled locations based on values at surrounding sample locations. It works by assigning weights to the sample points based on their proximity to the unsampled point. The closer a sample point is to the unsampled point, the higher its weight. The weights are then used to calculate a weighted average of the sample values, which is used as the estimate for the unsampled location.
The benefit of inverse distance weighting over a simple average is that it takes into account the spatial variability of the data. A simple average treats all sample points equally, regardless of their distance from the unsampled point. This can lead to inaccurate estimates if there is a high degree of spatial variability in the data. In contrast, inverse distance weighting gives more weight to sample points that are closer to the unsampled point, which is likely to provide a more accurate estimate.
Another advantage of inverse distance weighting is that it allows for the incorporation of multiple variables into the estimation process. For example, if there are two variables of interest (e.g., temperature and precipitation), inverse distance weighting can be used to estimate values for both variables simultaneously. This is not possible with a simple average.
Overall, inverse distance weighting is a useful tool for estimating values at unsampled locations in geostatistics. Its ability to account for spatial variability and incorporate multiple variables makes it a powerful technique for analyzing spatial data.

for more questions on variables

https://brainly.com/question/29058061

#SPJ11

Answer:

(-4)^10

Step-by-step explanation:

According to law of indices

(a^m)^n = a^{mn}

Given

[(-4)²]^5

Using the law above, we I'll multiply the powers

[(-4)²]^5

= (-4)^2×5

= (-4)^10

Hence the required answer is (-4)^10

Answer:

150

Step-by-step explanation:

'x' = number of students out of 500 who selected math

18/60 = x/500

cross-multiply:

60x = 9000

x = 150

A) 6 because 12 divided by 2 is 6

B) 9 because 45 divided by 5 is 9

C) 23 because 207 divided by 9 is 23

Therefore, the area of the rectangle is 50√2 square centimeters, and the answer is a²√b = 50√2.

Area is a measure of the size of a two-dimensional surface, such as a plane or a floor. It is typically expressed in square units, such as square meters, square feet, or square centimeters. The area of a shape is determined by measuring the extent of a surface in two dimensions, usually by measuring its length and width and multiplying them together. Different shapes have different formulas for calculating their area.

Here,

Let the length of the rectangle be a and the width be b.

The diagonal of the rectangle is the diameter of each of the quarter circles, which is 2 times the radius, or 10 cm.

Using the Pythagorean Theorem, we have:

a² + b² = 10²

a² + b² = 100

The area of the rectangle is given by:

A = ab

Substituting for b² in terms of a², we get:

A = a√(100 - a²)

To maximize the area, we take the derivative with respect to a and set it equal to zero:

dA/da = √(100 - a²) - a²/√(100 - a²) = 0

Solving for a, we get:

a² = 50

Substituting back into the equation for A, we get:

A = 50√2

To know more about area,

https://brainly.com/question/13194650

#SPJ1

Answer:

The question is not clear

Given:

Selling price of radio for Masada = 63,000

Loss = 10%

To find:

The amount of money Masada paid for the radio?

Solution:

Let x be the amount of money Masada paid for the radio.

According to the question,

\(x-10\%\text{ of }x=63000\)

\(x-\dfrac{10}{100}x=63000\)

\(x-0.1x=63000\)

\(0.9x=63000\)

Divide both sides by 0.9.

\(x=\dfrac{63000}{0.9}\)

\(x=70000\)

Therefore, Masada paid 70,000 for the radio.

The magnification scale  used was 450:1

Saturn from Earth, it looks like it has a diameter of 20 μm.

d₁=20μm

Through a telescope, the diameter looks 9,000 μm long.

d₂= 9,000 μm

magnification scale = d₂/d₁

                                =  9,000 μm/20μm

                                =  450/1

magnification scale  used was 450:1

A scale factor is a number that can be used to adjust the size of any geometrical figure or object in relation to its original size. It's used to draw the enlarged or reduced shape of any given figure, as well as to calculate the missing length, area, or volume of an enlarged or reduced figure. It should be noted that the scale factor only affects the figure's size and not its shape.

A scale factor is a number or conversion factor used to adjust the size of a figure without changing its shape. It is used to enlarge or reduce the size of an object. If the dimensions of the original figure and the dimensions of the dilated (increased or lowered) figure are known, the scale factor can be determined. A rectangle, for example, has a length of 5 units and a width of 2 units. If we raise the size of this rectangle by a factor of two, the sides will become 10 and 4, respectively. As a result, we can use the scale factor to determine the dimensions of the altered figures.

To learn more about magnification scale visit https://brainly.com/question/10120015

#SPJ9

Answer:

The Answer is A.

Step-by-step explanation:

1) You subtract fractions first to make this look easier to solve. now you just have 6 2/12 - 3.

2) Now subtract the 3 from the 6, then you have your 3 2/12 or A.

3) Enjoy the answer.

The approximate side length of the largest square envelope that can be placed into the mailbox without bending it is 0.71x.

In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles of 90 degrees each. It is a two-dimensional shape that can be represented by a closed polygon with four straight sides and four right angles.

First, we need to measure the size of the mailbox. Let's say that the length of each side of the mailbox opening is "x" inches. We can then set up an inequality to find the maximum size of the side of the square envelope that can fit into the mailbox. The inequality is:

side length of square envelope ≤ x

This inequality tells us that the side length of the square envelope must be less than or equal to the size of the mailbox opening. We want to find the largest possible side length of the square envelope, so we'll use the "less than or equal to" symbol.

To find the largest possible side length of the square envelope, we'll use the value of "x" to set up an equation. We know that the diagonal of the square envelope will be equal to the length of the side of the square envelope multiplied by the square root of 2. Therefore, we can set up the following equation:

diagonal of square envelope = side length of square envelope × √2

We want to find the maximum side length of the square envelope, so we'll use the maximum value of the diagonal of the envelope. We know that the diagonal of the envelope must be less than or equal to the length of the mailbox opening (which is "x"), so we can set up the inequality:

side length of square envelope × √2 ≤ x

We can solve for the side length of the square envelope by dividing both sides of the inequality by the square root of 2:

side length of square envelope ≤ x/√2

To get the largest possible side length of the square envelope, we'll use the maximum value of "x". Therefore, the largest possible side length of the square envelope that can fit into the mailbox without bending is:

side length of square envelope ≤ x/√2 ≈ 0.71x

We can round this value to two decimal places, which gives us:

side length of square envelope ≈ 0.71x

To  know more about square here.

https://brainly.com/question/14198272

#SPJ4

According to the given speed, the minimum rate of climb must be maintained to meet the required climb rate to 4,800 feet as specified on the instrument departure procedures is option (d) 870 feet per minute.

Speed:

In math speed refers the rate of change of position of an object in any direction.

Given,

Here we have using an average ground speed of 120 knots and taking off on runway 14.

Now, we need to find in what minimum rate of climb must be maintained to meet the required climb rate (in feet per nm) to 4,800 feet as specified on the instrument departure procedures.

While we looking into the given question, we have identified that,

Speed = 120

Distance = 4800

Then the  minimum rate of climb must be maintained to meet the required climb rate  is calculated as,

Here we also note in the bottom left corner of the overhead view of the departure requires 435 ft/nm climb gradient to 4800' for obstacle clearance.

Therefore, the minimum rate is 870 feet per minute.

To know more about Speed here.

https://brainly.com/question/26862717

#SPJ4

Answer:

g=Xs+t

Step-by-step explanation:

please love math

to learn math, to look for topics you don't know in the internet