1. Why is an understanding of Boolean algebra important to computer scientists?

The probability of any one person visiting a particular station is 1/3. Since there are three people in the family, the probability that they would all visit the same station is 1/3 x 1/3 x 1/3, which is equal to 1/27.

The probability that all three members of the family visit the same station at the medical clinic is 1/27 (1/3 x 1/3 x 1/3). This is because each person has an equal chance of being assigned to any of the three stations and since there are three people in the family, the probability that they would all visit the same station is 1/3 multiplied by itself three times, which is equal to 1/27. The experiment is recording the station number for each member and since the incoming individuals are assigned to any of the three stations randomly, the probability that all three members visit the same station is 1/27.

The complete question is :

A family consisting of three persons—a, b, and c—goes to a medical clinic that always has a doctor at each of stations 1, 2, and 3. during a certain week, each member of the family visits the clinic once and is assigned at random to a station. the experiment consists of recording the station number for each member. suppose that any incoming individual is equally likely to be assigned to any of the three stations irrespective of where other individuals have been assigned. What is the probability that all three members visit the same station?

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The frequency of this wave is 1 s⁻¹.

Since, We know that;

Frequency describes the number of waves that pass a fixed place in a given amount of time.

Given that;

A coiled spring with coils that are closely spaced then widely then closely then widely then closely, ending with a yellow line labeled 1 second.

We know that -

Frequency = 1 / Time period

f = 1/T

f = 1/1

f = 1 s⁻¹

Therefore, the frequency of this wave is 1 s⁻¹.

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There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8

Answer:

Yermin. √0.5 will be at Yermin's point

Step-by-step explanation:

Say Pedro line point is 0.25

Lena is 0.45

Harriet is 0.5

and Yermin is 0.7

The √0.5 = 0.707

≈ 0.7

Therefore it is at Yermin's point

Answer

DDDDDDDDDDDDDDD

Step-by-step explanation:

7a* Consider the distance is x

2/3x = 240

x = 360

The Distance between two points = 360 Km

7b* Consider the average speed at 2/3 distance was V

(45+V)/2 = 54

45+V = 108

V= 108-45= 63km/hr

The average speed for the last 2/3 trip was 63 km/hr

Answer: The second one

Step-by-step explanation:

From the given linear functions, the ordered pairs that represents a function is A= {(-6, 6),(-3, 2),(0, -1) (3, 5})

A set of ordered equation represents a linear function if the domain of the coordinates are not repeated.

For instance, the ordered pairs that is a function are the coordinates that do not have any repeated x-coordinates.

From the given linear functions, the ordered pairs that represents a function is A= {(-6, 6),(-3, 2),(0, -1) (3, 5})

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Answer:

Here is the sample space:

(1, 1), (1, 2) (1, 3), (2, 1), (2, 2), (2, 3), (3, 1),

(3, 2), (3, 3)

The volume of this cylinder is equal to 675 cm².

Mathematically, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

Substituting the given parameters into the volume of a cylinder formula, we have the following;

Volume of a cylinder, V = πr²h

Volume of a cylinder, V = 3 × 5² × 9

Volume of a cylinder, V = 3 × 25 × 9

Volume of a cylinder, V = 675 cm².

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Answer:

log 5= √16

________

x^3 y^4

Answer:

6 toppings

Step-by-step explanation:

The t in this equation represents the amount of toppings.

22 + 0.65t = 26

-22 -22

0.65t = 4

0.65t/0.65 = 4/0.65

t = 6

They could get 6 toppings and the total would be $25.90.

The possible values of the arc AE are 175 and 185 degrees

From the question, we have the following parameters that can be used in our computation:

The circle R

Where the measures of  the arcs are

AB = 60

BC = 25

CD = 70

DE = 20

Add the measures of the above arcs

So, we have

AE = 60 + 25 + 70 + 20

Evaluate

AE = 175

Another possible value is

AE = 360 - minor AE

AE = 360 - 175

Evaluate

AE = 185

Hence, the possible values of the arc AE are 175 and 185 degrees

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The opening price of the stock for Medco Health Solutions (MHS) on January 12 is (b) $41.14

From the question, we have the following parameters that can be used in our computation:

The stock bar charts

Also, we have

The volume bar chart

From the stock bar chart for price, we have a line at

41.14

This line when represented on a stock bar chart represents the opening price of the stock

Hence, the opening price of the stock is (b) $41.14

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The socially efficient rate of output can be determined by finding the point where the marginal willingness to pay (MWTP) is equal to the marginal cost (MC). In this case, the efficient rate of output occurs at 7 units, where MWTP is equal to 8.

To show that at any other output level, the net benefits to society will be lower than they are at the efficient level, we can compare the net benefits at different output levels.

At the efficient level of 7 units, the net benefit to society is the difference between the MWTP (8) and the MC (8), which is zero.

For any other output level, the net benefits to society will be lower. Let's take the example of 6 units. The MWTP at this level is 10, while the MC is 11. Therefore, the net benefit is -1, indicating that society is worse off compared to the efficient level.

Similarly, for output levels below 6 units, the net benefits will be negative, indicating a loss to society. And for output levels above 7 units, the net benefits will be positive, but decreasing, indicating diminishing returns.

In conclusion, the socially efficient rate of output is 7 units, where net benefits are maximized. Deviating from this level results in lower net benefits to society, indicating a loss of efficiency.

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Step-by-step explanation:

20/h = 8/14

Cross multiply

20 × 14 = h × 8

280 = 8h

Isolate the variable (h) by dividing by 8 on both sides

35 = h

Answer:

As repetition is not allowed,

For first digit selection, we have 8 choices.

for second digit selection 7 choices.

Similarly, 6 choices for 3rd digit, 5 choices for 4th digit and 4 choices for 5th digit.

Hence, total choices 8*7*6*5*4 = 6720

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer is B

B. 105

Hope this helps

Answer:

x = 0,  x = 7

Step-by-step explanation:

Given equation:

\(\implies \dfrac{x+3}{x-3}+\dfrac{x}{x-5}=\dfrac{x+5}{x-5}\)

Multiply by (x - 5):

\(\implies \dfrac{(x+3)(x-5)}{x-3}+\dfrac{x(x-5)}{x-5}=\dfrac{(x+5)(x-5)}{x-5}\)

Factor out common term (x - 5):

\(\implies \dfrac{(x+3)(x-5)}{x-3}+x=x+5\)

Multiply by (x - 3):

\(\implies \dfrac{(x+3)(x-5)(x-3)}{x-3}+x(x-3)=(x+5)(x-3)\)

Factor out common term (x - 3):

\(\implies (x+3)(x-5)+x(x-3)=(x+5)(x-3)\)

Expand brackets:

\(\implies x^2-5x+3x-15+x^2-3x=x^2-3x+5x-15\)

Combine like terms:

\(\implies 2x^2-5x-15=x^2+2x-15\)

Simplify:

\(\implies x^2-7x=0\)

Factor and solve:

\(\implies x(x-7)=0\)

\(\implies x=0,7\)

Answer:

below

Step-by-step explanation:

I graphed the function using a graphing tool

Based on the above, the the midpoint of AB is M = (2, 1).

To find the midpoint of AB, we need to average the x-coordinates and the y-coordinates of A and B separately. That is:

Midpoint = ((x-coordinate of A + x-coordinate of B) / 2, (y-coordinate of A + y-coordinate of B) / 2) simply say:

M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

So, for A = (10, -1) and B = (-6, 3), we have:

Midpoint = ((10 + (-6)) / 2, (-1 + 3) / 2)

Midpoint = (2, 1)

Therefore, the midpoint of AB is M = (2, 1). This means that if we drew a line segment from A to B and marked the point exactly halfway between them, that point would be at the coordinates (2, 1).

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Answer:

17/21

Step-by-step explanation:

The amount of people that ate eggs only are:

42* 1/7 = 6

The amount of people that ate both pancakes and eggs are:

42 * 2/3 = 28

That means 34 people ate pancakes only.

The fraction that represents this is 34/42 = 17/21

The script involves rescaling the axis, defining rotation and dilation matrices, and using loops to rotate and dilate a square.

The script begins by rescaling the axis using the command "axis([-7,7,-7,7])" to set the desired range for the x and y axes. Next, the rotation matrix "Q" and the dilation matrix "D1" need to be defined. The rotation matrix can be obtained by incrementally rotating counterclockwise by π/6 (30 degrees) using the command "Q = [cos(θ), -sin(θ); sin(θ), cos(θ)]", where θ represents the angle. The dilation matrix can be defined as "D1 = [7/6, 0; 0, 7/6]".

A for loop is then used to rotate the square about the origin by increments of π/6 and expand it at the same time using the rotation matrix and dilation matrix. Inside the loop, the square matrix "S" is updated by multiplying it with the rotation matrix and dilation matrix: "S = Q * D1 * S". The plot is updated with the new coordinates using the "set" command, and a pause is included to display the animation.

The contraction matrix "D2" is defined as "D2 = [6/7, 0; 0, 6/7]", and a second rotation matrix "Q2" is defined to rotate the square clockwise by increments of π/6. Another for loop is used to perform the clockwise rotation and contraction on the square. Inside this loop, the square matrix "S" is updated using the rotation matrix and contraction matrix: "S = Q2 * D2 * S". The plot is updated again, and a pause is included to display the animation.

Finally, the "hold off" command is used to release the current plot, completing the script. Note that the missing parts of the script, including the loop indices and the initial square matrix "S", need to be filled in to execute the animation properly.

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Answer:

\(2\sqrt {2}\)

Step-by-step explanation:

Distance From a Point to a Line

Given a line with an equation :

ax + by + c = 0

And the point \((x_0,y_0)\)

The distance from the line to the point is given by

\(\displaystyle d=\frac {|ax_{0}+by_{0}+c|}{\sqrt {a^{2}+b^{2}}}\)

The triangle has a vertex at (1,-2) and the base lies on the equation

x + y = 3

Rearranging:

x + y - 3 = 0

The altitude of the triangle is the distance from the point to the line.

The values to use in the formula of the distance are: a=1, b=1, c=-3, xo=1, yo=-2:

\(\displaystyle d=\frac {|1*1+1*(-2)-3|}{\sqrt {1^{2}+1^{2}}}\)

\(\displaystyle d=\frac {|1-2-3|}{\sqrt {2}}\)

\(\displaystyle d=\frac {4}{\sqrt {2}}\)

Rationalizing:

\(\displaystyle d=\frac {4}{\sqrt {2}}\cdot\frac{\sqrt {2}}{\sqrt {2}}\)

\(\displaystyle d=2\sqrt {2}\)

The altitude of the triangle is \(\mathbf{4\sqrt {2}}\)

Answer:

The grand pacer test stated that the percentage of the core would be 50%

SThe range of tep-by-step explanation:

Answer:

x >46/3

Step-by-step explanation:

Do the product first because of the more than

-3x + 17 < -29

Subtract 17 from each side

-3x + 17 -17< -29-17

-3x < -46

Divide each side by -3, remembering to flip the inequality

-3x/-3 > -46/-3

x >46/3

Answer:

hammer

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes yes yes yes yes yes yes yes

A local maximum occurs over the interval (-2,0).

A local minimum occurs over the interval (0,2).

If the graph of the function increases first and decreases after a particular point, then the function acquires a local maximum at that point.

Similarly, if the graph of the function decreases first and then increases after a point, then the function acquires a local minimum at that point.  

Here the given x and f(x) values for the continuous function f(x) are:

x        f(x)

-3       -16

-2        -1

-1         2

0         -1

1          -4

2          -1

As we can see by examining the table values, the function is increasing in the intervals (-3,2) and (-2,-1).The function acquires value f(x) = 2 at x = -1 and then it starts to decrease. So this value f(x) = 2 is the local maximum and is acquired on the interval (-2,0).

The graph is then decreasing from x = -1 to x = 1. The function has the value f(x) = -4 at x = 1. Then the function starts to increase from x = 1 to x = 2. So f(x) = -4 is the local minimum of the function and is acquired on the interval (0,2).

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Answer: UNDEFINED

Step-by-step explanation:

x=-5y+4      5y=-x+4       y=-1/5x+4/5

3x+15y= -1    15y=-3x-1    y=-1/5x-1/15

COMBINED: -1/5x+4/5=-1/5x-1/15 FIND COMMON DENOMINATOR=15

-3/15x=-3/15x-13/15

0=-13/15    UNDEFINED

Answer:

Step-by-step explanation:

Median is the middle number

First arrange the numbers:2,5,7,7,8,8,10,10,14,15,17,18,24,27,28,48

Median= 10+14/2

=14/2

=7