Help me..............

Answer:

It is a horizontal line through y-coordinate 6.

Step-by-step explanation:

Because 10*3/5=6.

The correct option is a) (x + y) (y + z). Given the output function F in sum-of-minterms form as F = (0, 1, 2, 3, 7), we need to determine the corresponding Boolean expression for the output function.

A 3x8 decoder has three input variables (x, y, z) and eight output variables, where each output variable corresponds to a unique combination of input variables. The output variables are typically represented as minterms.

Let's analyze the given output function F = (0, 1, 2, 3, 7). The minterms represent the outputs that are equal to 1. By observing the minterms, we can deduce the corresponding Boolean expression.

From the minterms, we can see that the output is equal to 1 when x = 0, y = 0, z = 0 or x = 0, y = 0, z = 1 or x = 0, y = 1, z = 0 or x = 0, y = 1, z = 1 or x = 1, y = 1, z = 1.

By simplifying the above conditions, we get (x + y) (y + z), which is the Boolean expression corresponding to the given output function F.

In summary, the correct option is a) (x + y) (y + z).

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Answer: -1m²+81

Step-by-step explanation:

correct standard form means that the terms are ordered from biggest exponent to lowest exponent.The leading coefficient is the coefficient

of the first term in a polynomial in standard form.

FoR example, (9+ m) (-m+9) = *(m+9) (-m+9) *m(-m+9) +9 (-m+9)* -1.mm+9m +9(-m+9) * -1m² +9m +9(-m+9) *-1m²+9m- 9m +81

answer -1m²+81

Answer:

Option (2)

Step-by-step explanation:

The angle opposite the shortest side is the smallest and the angle opposite the longest side is the largest.

Since m is greater than or equal to 6, we know that:

2m+3 > m+8 > m-3

No, because P(A|B) = 0.79 and the P(A) = 0.48 they are not equal.

The probability formula defines the likelihood of the happening of an event. It is the ratio of favorable outcomes to the total favorable outcomes.

We have the information:

P(A)= 0.48  

P(B) = 0.42

P(A∩B) = 0.38

To find out if watching a movie and buying a popcorn are independent,

The formula is used:

P(A|B) = P(A∩B)/P(A)

Plug all the values in above formula:

P(A|B) = 0.38/0.48 = 0.79166

P(A|B) = 0.79

From the deductions above;

Hence, the answer is

No, because P(A|B) = 0.79 and the P(A) = 0.48 they are not equal.

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Answer: I think B

Step-by-step explanation:

To calculate the number of tiles required for a room, you need to know the dimensions of the room and the size of the tiles.

To calculate the number of tiles needed for a room, follow these steps:

To calculate the number of tiles required for a room, you need to know the dimensions of the room and the size of the tiles. By measuring the length and width of the room, you can calculate the total area of the floor or wall that needs to be tiled. This is done by multiplying the length by the width.

Next, you should determine the size of the tiles you plan to use. This could be in square meters or square feet depending on your measurement preference. Knowing the area of one tile will allow you to calculate how many tiles are needed to cover the entire room. You can do this by dividing the total area of the room by the area of one tile.

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The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.

The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.

The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.

It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.

Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.

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Answer:

33-40-45

Step-by-step explanation:

Answer:

\(\frac{\sqrt{5} }{5}\)

Step-by-step explanation:

\(\frac{1}{\sqrt{5} }\)  multiply each side by \(\sqrt{5}\) which comes out to \(\frac{\sqrt{5} }{5}\)

The two consecutive integers that will make the inequality true are 13 and 14.

inequality, is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

If you check for the square root of 181 \(\sqrt{181}\) is 13.453

And the two consecutive integers smaller than 13.45 and greater than 13.45 are 13 and 14 respectively.

In conclusion, the two consecutive integers for the expression are 13 and 14.

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the value of P(A∩B) in terms of x and y is xy.

The correct option is D. xy.

To determine the value of P(A∩B) in terms of x and y, we can use the definition of conditional probability and the fact that P(A∩B) = P(A|B) * P(B).

Given that P(A|B) = x and P(B) = y, we can substitute these values into the equation:

P(A∩B) = P(A|B) * P(B)

        = x * y

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Answer:

A = 2(wl+hl+hw)

2·(4·6+8·6+8·4) = 208 m

hope it helps

The expected number of tails when a biased coin is tossed is 8/9.

The expected number of tails when a biased coin is tossed can be found using the formula E(X) = np, where n is the number of trials and p is the probability of a tail occurring.

In this case, the probability of a tail occurring is eight times as likely as a head, so p = 8/9.

If the coin is tossed once, then n = 1.

Therefore, the expected number of tails when this coin is tossed once is:

E(X) = np
E(X) = (1)(8/9)
E(X) = 8/9

So the expected number of tails when this biased coin is tossed once is 8/9.

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The value of the function f(g(2))  is: f(g(2)) = -12

Here,

To find the value of f(g(2)),

we first need to find the value of g(2), and then use that result as the input for the function f.

Given:

f(x) = 2x - 4

g(x) = -5x + 6

Step 1: Find g(2)

g(2) = -5(2) + 6

g(2) = -10 + 6

g(2) = -4

Step 2: Use the result g(2) as the input for f(x)

f(g(2)) = f(-4)

f(x) = 2x - 4

f(-4) = 2(-4) - 4

f(-4) = -8 - 4

f(-4) = -12

Therefore, f(g(2)) = -12.

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Based on the given information, the product should be distributed from {S}1 to the retailers located at R1, R2, R3, and R4.

To determine the most efficient distribution route, several factors need to be considered. These factors include the distance between the origin point {S}1 and each retailer, transportation costs, logistical infrastructure, and delivery timeframes. By evaluating these factors, a decision can be made regarding the optimal distribution route.

One approach could be to assess the geographical proximity of {S}1 to each retailer. If {S}1 is closest to R1 compared to the other retailers, it would make logistical sense to prioritize R1 for distribution. However, other factors such as transportation costs and delivery timeframes must also be considered. If the transportation costs are significantly higher or the delivery timeframes are longer for R1 compared to the other retailers, it might be more efficient to distribute the product to a different retailer.

Moreover, the logistical infrastructure and transportation networks available between {S}1 and the retailers should be evaluated. If there are direct and efficient transportation routes between {S}1 and one or more retailers, it would make sense to utilize those routes for distribution. This consideration would help minimize transportation costs and delivery times.

Ultimately, the decision on the optimal distribution route depends on a comprehensive analysis of various factors such as geographical proximity, transportation costs, logistical infrastructure, and delivery timeframes. By carefully evaluating these factors, a well-informed decision can be made regarding the distribution of the product from {S}1 to retailers R1, R2, R3, and R4.

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Answer:

62,489

Step-by-step explanation:

60089

+  2400

-------------

62,489

The value of a+b+c will be 16 if  \(\frac{5}{2-\sqrt{3}}\) rationalize as  \(\displaystyle{\frac{a + b\sqrt{3}}{c}}\).

Given,

y = \(\frac{5}{2-\sqrt{3}}\)

To solve the given expression we multiply the numerator and denominator by the conjugate of the denominator

\(= \frac{5}{2-\sqrt{3}} \frac{2+\sqrt{3} }{2+\sqrt{3}}\)

\(= \frac{10+5\sqrt{3} }{2^2 - \sqrt{3}^2 }\)

\(= \frac{10+5\sqrt{3} }{4-3 }\)

\(= \frac{10+5\sqrt{3} }{1 }\) = \(\displaystyle{\frac{a + b\sqrt{3}}{c}}\)

Now, by comparing the result we get

a = 10, b = 5, c = 1

hence, a+b+c = 10+5+1 = 16

Therefore, the value of a+b+c will be 16.

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Answer:

x=8.5

Step-by-step explanation:

3x+31=14+5x

17=2x

x=8.5

Answer:

-5

Step-by-step explanation

Given the function  f(x)=-4x^2+2x-5, the y intercept occurs at x = 0

Substitute x = 0 into the function and find y as shown;

f(x)=-4x^2+2x-5

f(0)=-(0)^2+2(0)-5

f(0)=0-5

f(0) = -5

The coordinate point is (0, -5)

Hence the value of the y coordinated is -5

Answer:

Let's solve your system by elimination.

3x+4y=29;6x+5y=43

Multiply the first equation by -2,and multiply the second equation by 1.

−2(3x+4y=29)

1(6x+5y=43)

Becomes:

−6x−8y=−58

6x+5y=43

Add these equations to eliminate x:

−3y=−15

Then solve−3y=−15for y:

−3y=−15

−3y −3 = −15

−3

(Divide both sides by -3)

y=5

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

3x+4y=29

Substitute5foryin3x+4y=29:

3x+(4)(5)=29

3x+20=29(Simplify both sides of the equation)

3x+20+−20=29+−20(Add -20 to both sides)

3x=9

3x 3 = 9

3

(Divide both sides by 3)

x=3

Answer:

x=3 and y=5

Step-by-step explanation:

I love this stuff 229 999 0523

sum of 3 numbers = 57

let

the numbers be x, y and z.

x + y + z = 57

let z be the largest and x be the smallest.

z - x = 47

x+y = 16

Slope intercept equation of the line parallel to \(y = -\frac{2}{3} x + 12\)  will be: \(y = -\frac{2}{3} x + 7\)

In the given question, we have a line \(y = -\frac{2}{3} x + 12\). We have to find out the equation of the line that is parallel and passes through points (6, 3). We know the standard slope-intercept form is: y = mx + b. By comparing this to the equation of line \(y = -\frac{2}{3} x + 12\) we get slope m = -2/3.

Also, we know parallel lines have the same slope m = -2/3. And the parallel line passes through (6, 3). We can find the equation of the line by using the point-slope form: y - y₁ = m(x - x₁).

Putting values of m, and (x₁,y₁), we get: \(y - 3 = -\frac{2}{3} (x - 6)\)

=> \(y - 3 = -\frac{2}{3}x + 4\)  

=> \(y = -\frac{2}{3}x + 7\)

Hence, the slope-intercept form of the line is \(y = -\frac{2}{3} x + 7\)

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Amita can only use one of the possible molds if she wants a rectangular prism with a square base and volume of 28 cubic centimeters.

Let the length, width, and height of the rectangular prism be x, y, and z respectively. Since the volume of the prism is 28 cubic centimeters, we have:

x * y * z = 28

Since x, y, and z are whole numbers, we can find all possible combinations of three factors whose product is 28. These are:

1 * 1 * 28

1 * 2 * 14

1 * 4 * 7

2 * 2 * 7

Therefore, there are four different molds that Amita can make.

If Amita wants the mold to have a square base, then the length and width of the base must be equal. We can see that only one of the above combinations has equal length and width, which is:

2 * 2 * 7

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The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.

Suppose the random variable in consideration be X, and it is discrete.

Then, the probability of X attaining at least 'a' is written as:

\(P(X \geq a)\)

It is evaluated as:

\(P(X \geq a) = \sum_{\forall \: x_i \geq a} P(X = x_i)\)

The probability distribution of X is:

        x                      f(x) = P(X = x)

        6                               0.02
        7                               0.11

        8                               0.61

        9                               0.15

        10                              0.09

Worker working at least 8 hours means X attaining at least 8 as its values.

Thus, probability of a worker chosen at random working 8 hours is

P(X ≥ 8) = P(X = 8) + P(X = 9) +P(X = 10) = 0.85 ≈ 0.84 approx.

By the way, this probability distribution seems incorrect because sum of probabilities doesn't equal to 1.

The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.

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As a result, an experiment entails randomly selecting one of two urns and then drawing a marble from that urn. The probability that a green marble was picked is 0.524.

We are informed from the question that

Urn 1 has the following number of green marbles \(Ng=14\)

Urn 1 has the following number of yellow marbles \(Ny=15\)

Urn 2 has the following number of green marbles: \(n_{g} =11\)

Urn 2 has the following number of yellow marbles:\(n_{y}=8\)

The likelihood of selecting Urn 1 is \(P(U1) = 0.57\)

The likelihood of selecting Urn 2 is \(P (U2)= 1-0.57\)

                                                           \(P(U2)= 0.43\)

Let \(Nt\) be the total number of marbles in urn 1. Then,

Typically, Urn 1's total marble is \(Nt=Ng+Ny\)

                                                   \(Nt=14+15\)

                                                   \(Nt=29\)

Let \(nt\) be the total number of marbles in urn 1

Typically, Urn 2's total marble is n \(n_{t} = n_{g} +n_{y}\)

                                                     \(n_{t} =11+8\)

                                                     \(n_{t}=19\)

The likelihood of selecting green marble is typically

\(P(Ng)=P(U1)* \frac{Ng}{Nt} + [P(U2)*\frac{n_{g} }{n_{t} }]\)

\(P(Ng)=0.57*\frac{14}{29} + [0.43*\frac{11}{19} ]\)

\(P(Ng)=0.57*0.483+[0.43*0.579]\)

\(P(Ng)= 0.275+0.249\)

\(P(Ng)= 0.524\)

The probability that a green marble was picked is 0.524.

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The area of the articulation is  roughly 0.0625 times π, which is roughly 0.1963 square  measures.

The area of the articulation is0.1963 square  measures.    

To calculate the area of a articulation with a periphery of 0.5  measures, you can use the formula for the area of a circle,

which is A =  πr ², where A is the area, r is the compass and π is the constant value which is  roughly = 3.14    

Given that the periphery of the articulation 0.5  measures, the compass( r) is half of the periphery,

so the compass will be,  r = 0.5/ 2 = 0.25  measures.  

Now, substitute the value of the compass into the formula    A =  π(0.25) ²    A =  π(0.0625)    A ≈0.0625 π    

The area of the articulation is  roughly 0.0625 times π, which is roughly 0.1963 square  measures.

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Answer:

x = 3

Step-by-step explanation:

x+5=8

x+5-5=8-5

X=3

Answer:

x = 3

Step-by-step explanation:

basically 2 ways

1st: Transposing

1) x + 5 = 8

2) transpose or transfer +5 to the other side

NOTE: transposing numbers and variables switches the signs (positive -> negative and vice versa)

3) x = 8 - 5

x = 3

2nd: Property of Equality (whatever u do one one side, you do the same to the other)

1) x + 5 = 8

2) x + 5 - 5 = 8 - 5

x = 3

the main focus is to isolate x, or to make it be alone in one side of the equation

Answer:

Use colon method

Step-by-step explanation:

So it is more easy