What is the opposite integer of 53

Answer:

I'm an island boii ️️

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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Answer:

∠ HFG = 55° , ∠ BFG = 125°

Step-by-step explanation:

∠ CBF and ∠ BFG are alternate interior angles and are congruent , so

∠ BFG = ∠ CBF = 125°

∠ BFG and ∠ HFG are a linear pair and sum to 180° , then

∠ HFG + ∠ BFG = 180°

∠ HFG + 125° = 180° ( subtract 125° from both sides )

∠ HFG = 55°

Answer:

HFG=55° and BFG=125°

Step-by-step explanation:

CBF=BFG=125°(Alternate angle)

HFG+BFG=180°

HFG=180°-125°

HFG=55°

To convert the given infix expression a+bc/2 - (ac - 3/b) into postfix notation, we will use a stack to store and manage operators. Here's the step-by-step process:

1. Start scanning the expression from left to right.
2. If an operand (a, b, c, 2, or 3) is encountered, append it to the output.
3. If an operator (+, -, *, or /) is encountered, push it onto the stack if it's empty or if the operator at the top of the stack has a lower precedence. Otherwise, pop operators from the stack and append them to the output until the stack is empty or the operator at the top of the stack has a lower precedence. Then, push the current operator onto the stack.
4. If an open parenthesis '(' is encountered, push it onto the stack.
5. If a close parenthesis ')' is encountered, pop operators from the stack and append them to the output until an open parenthesis '(' is encountered. Pop the open parenthesis but do not append it to the output.
6. After scanning the entire expression, if there are still operators in the stack, pop them and append them to the output.

Applying these rules, we get the following postfix expression:

a b c * 2 / + a c * 3 b / - -

Here's the evolution of the stack during each step:

1. Push '+'
2. Push '*', pop '+' (higher precedence), push '+'
3. Push '/'
4. Pop '*', pop '/', push '-'
5. Push '*', pop '-' (higher precedence), push '-'
6. Push '/'
7. Pop '*', pop '/', pop '+', pop '-'

The resulting postfix expression is: a b c * 2 / + a c * 3 b / - -

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The number of fliers that she has still not broadcasted will be 48 fliers.

Algebra is the study of ideational characters, while logic is the manipulation of all those opinions.

Linda had 90 fliers to post around town. Last week, she posted 1/5 of them. Then the number of fliers staying is given as,

⇒ (1 - 1/5) x 90

⇒ (4/5) x 90

⇒ 72 fliers

This week, she posted 1/3 of the remaining fliers. Then the number of fliers that she has still not broadcasted is given as,

⇒ (1 - 1/3) x 72

⇒ (2/3) x 72

⇒ 48 fliers

The number of fliers that she has still not broadcasted will be 48 fliers.

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The empirical rule (68-95-99.7%) is a widely used guide in statistics that helps determine the probability of occurrence of a raw score in a set of statistical data. This rule, also known as the rule of three sigma.

What is Three-Sigma Rule?

It states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% of the data falls within two standard deviations of the mean,on average, 99.7% of the data fall within three standard deviations.

This rule is useful for understanding the distribution of data and can be used to make predictions and draw conclusions about a population based on a sample. Statisticians often rely on this rule when analyzing data and making decisions based on probability calculations.

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The given information, angles c, a, and c, does not result in the ambiguous case when solving the triangle ABC. The answer is B. No.

The ambiguous case, also known as the "SSA" case, occurs when we are given two sides and a non-included angle of a triangle. In this case, we are given angles c, a, and c, which correspond to angles opposite sides C, A, and C, respectively.

To determine if the triangle falls into the ambiguous case, we need to check if there is more than one possible triangle that satisfies the given information. In the ambiguous case, there can be two different triangles or no triangle at all.

However, in the given information, the angles c, a, and c do not provide enough information to determine the lengths of the sides. Without the knowledge of at least one side length, we cannot determine if there is more than one possible triangle. Therefore, the given information does not result in the ambiguous case.

Hence, the answer is B. No.

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Answer: no it is not

Step-by-step explanation: any number that repeats forever cannot be written as a rational way or a fraction. So it is not rational.

Answer:

Step by step explanation:                                                

.

The possible way of assigning the numbers that are fair:

(C) The numbers 1 and 2 represent Katia, 3 and 4 represent Tracy, and 5 and 6 represent Adan.

And (E) The numbers 1 and 6 represent Katia, 2 and 5 represent Tracy, and 3 and 4 represent Adan.

C and E are the correct options.

A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen.

Given:

Every week,

Katia’s parents randomly decide whether she, her sister Tracy, or her brother Adan takes out the trash.

Katia wants to use a fair number cube labeled 1 through 6 to simulate the results of the next 5 weeks.

The number of people = 3.

So, there are 6/3 = 2 distinct possible numbers.

From the given choices,

(C) The numbers 1 and 2 represent Katia, 3 and 4 represent Tracy, and 5 and 6 represent Adan.

And (E) The numbers 1 and 6 represent Katia, 2 and 5 represent Tracy, and 3 and 4 represent Adan.

Therefore, C and E are the correct statements.

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The complete question;

Every week, Katia’s parents randomly decide whether she, her sister Tracy, or her brother Adan takes out the trash. Katia wants to use a fair number cube labeled 1 through 6 to simulate the results of the next 5 weeks.

Select all the possible ways of assigning the numbers that are fair.

A)The number 1 represents Katia, 2 represents Tracy, and 3 represents Adan.

B) The odd numbers represent Katia, and the even numbers represent her other siblings.

C) The numbers 1 and 2 represent Katia, 3 and 4 represent Tracy, and 5 and 6 represent Adan.

D) The numbers 1 and 3 represent Katia, 2 and 5 represent Tracy, and 3 and 6 represent Adan.

E) The numbers 1 and 6 represent Katia, 2 and 5 represent Tracy, and 3 and 4 represent Adan.

Architects use the standard human size as a reference while making and measuring heights of doors and countertops and thus option (c) a standard human body is the proper answer

This involves measuring individual doors and counter-tops against our size and this is because we need to make sure that these doors, counter-tops, etc. in homes are actually of a reasonable enough size for people to use.  

The human scale in architecture is how the human body relates itself to architectural structures. There is a relationship between our bodies and every space that we inhabit. Human-scale architecture considers the proportion of space with the human body. Making sure that the environment interacts properly with the humans who will be interacting with the architectural structures daily helps us give them a reasonable and usable size and shape.

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Country B is more efficient than Country A when it comes to producing cars and tanks.

Country A takes twice as long to produce a car (30 minutes) than Country B (12 minutes). However, Country A takes 20 minutes to produce a tank while Country B takes 10 minutes, cutting the amount of time in half.

We can measure the efficiency of each country by calculating the number of cars and tanks each country can produce in an hour. We can do this using the following formula:

Cars per hour = (60 minutes/minutes to produce car)

Tanks per hour = (60 minutes/minutes to produce tank)

For Country A, the number of cars produced in an hour is (60 minutes/30 minutes) = 2 cars per hour and the number of tanks produced in an hour is (60 minutes/20 minutes) = 3 tanks per hour.

For Country B, the number of cars produced in an hour is (60 minutes/12 minutes) = 5 cars per hour and the number of tanks produced in an hour is (60 minutes/10 minutes) = 6 tanks per hour.

Therefore, Country B is more efficient than Country A when it comes to producing cars and tanks.

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The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;

The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;

D) Whether or not there is an acceleration in any direction

Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.

The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.

The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.

The possible options in the question from a similar question on the internet are;

A) When there is no acceleration in any direction

B) When there is no acceleration in one direction

C) Only when an acceleration is present in both directions

D) Whether or not there is an acceleration in either direction

E) Only when the acceleration is in the y-direction

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The slope coefficient would be 0.5. if we estimated a linear regression of Y on 2X, where 2X is a variable that is equal to 2*X. Which is option (B)

What is linear regression?

The linear regression is a statistical tool that is used to study and establish a connection between two variables, where one variable is independent and the other is dependent. For instance, we can relate the weight of a product with its price.

The linear regression model can be expressed as:

Y_i = a + b

X_i + u_i

Where, Y_i is the dependent variable, a is the y-intercept,b is the slope of the line, and X_i is the independent variable.

Slope coefficient If the slope coefficient in a linear regression model is 1, then it implies that a 1-unit increase in the independent variable will lead to a 1-unit increase in the dependent variable. Hence, the slope coefficient of the regression line is equal to 1.

If we estimate a linear regression of Y on 2X, where 2X is a variable that is equal to 2*X, we can obtain the following equation: Y_i = a + b (2X_i) + u_i

Simplifying the above equation, we get:

Y_i = a + 2b

X_i + u_i

Thus, the slope coefficient in this case would be 2b. If we know that the slope coefficient of the variable Y on X is 1, then we can deduce that b is equal to 0.5. Therefore, the slope coefficient of Y on 2X would be 2b, which is equal to 2(0.5) = 1. Hence, the correct option is 1.

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Answer:

(1,1) (2,2) (1,2) (1,5) (4,4) (4,5)

there are a lot more but those are some.

Step-by-step explanation:

Answer:

x=35; y=55; z=55

Step-by-step explanation:

x+y=90; z+x=90

z+35=90

z=90-35= 55

x=90-55= 35

y= 90-35 =55

The Perimeter of polygon ABCD = 21.6 units.

The perimeter of figure ABCD = sum of all its sides = AB + BC + CD + AD.

To find each of the sides, apply the distance formula, d = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

A(-5, 5)

B(0, 3)

C(-2, -2)

D(-7, 0)

AB = √[(0−(−5))² + (3−5)²]

AB = √29

AB ≈ 5.4 units

BC = √[(0−(−2))² + (3−(−2))²]

BC = √29

BC ≈ 5.4 units

CD = √[(−7−(−2))² + (0−(−2))²]

CD = √29

CD ≈ 5.4 units

AD = √[(−7−(−5))² + (0−5)²]

AD = √29

AD ≈ 5.4 units

The Perimeter of polygon ABCD = 5.4 + 5.4 + 5.4 + 5.4 = 21.6 units.

Therefore, the Perimeter of polygon ABCD = 21.6 units.

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Answer:

x=18

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

(1 /2 )x−7 =  (1 /3 )x−4 (Distribute)

Step 2: Subtract 1/3x from both sides.

(1 /6) x−7=−4

Step 3: Add 7 to both sides.

(1 /6 )x=3

Step 4: Multiply both sides by 6.

x=18

Answer:

x = 18

Step-by-step explanation:

1/2x-7=1/3(x-12)

Distribute

1/2x -7 = 1/3x -4

Add 7 to each side and subtract 1/3x from each side

1/2x - 1/3x = 7-4

1/2x - 1/3x =3

Multiply each side by 6 to clear the fractions

6(1/2x - 1/3x) = 3*6

3x - 2x = 18

x = 18

Answer:

70 degrees

Step-by-step explanation:

a pentagon has a total of 540 degrees. so 540-95-105-110-160=70

Answer:

Sum of angles in a polygon = (n-2)×180°

n - number of angles

Step-by-step explanation:

Sum of angles in a polygon

(5-2) × 180°

(3)180°

540°

so therefore,

105° + 110° + 95° + 160° + x = 540°

x = 540° - 105° - 110° - 95° - 160°

x = 540° - 470°

x = 70°

The area of the parallelogram is 55 square feet

From the figure, we have the following dimensions:

Height = 5 ft

Base = 11 ft

The area of the parallelogram is calculated as:

Area = Base * Height

This gives

Area = 5ft * 11ft

Evaluate the product

Area = 55 square feet

Hence, the area of the parallelogram is 55 square feet

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Answer:

1 or 2

Step-by-step explanation:

one of the parentaziz has to equal 0 because anything multiplies by 0 is 0

Answer:

(−1)(−2)(0−3)=0

(−1)(−2)(−3)=0

−3(−1)(−2)=0

−32+6+3(−2)=0

−32+6+3−6=0

−32+9−6=0

= −9+3/−6 = 1

= −9−3/−6 = 2

Step-by-step explanation:

Answer:

Hello,

Step-by-step explanation:

A: roots are x=-1 and x=5 : x-intercepts are (-1,0) and (5,0) :TRUE

B: There are only 2 roots for quadratic function : FALSE

C: the function has a minimum for x=2 but the value of that minum is -9 : FALSE

D: (-oo,-9) :decrease ok, but (-x,oo) false: FALSE

E: TRUE (function is y=(x+1)(x-5)=x²-4x-5

F: minimum=-9 TRUE

G: TRUE (see graph jointed)

H: TRUE like F

I: FALSE

the volume in the first octant bounded by\(y^2=4−x\) and y=2z is pi/36 sqrt(3).

(1) To find the volume in the first octant bounded by the surfaces \(y^2 = 4 - x\) and y = 2z, we can set up a triple integral in cylindrical coordinates.

First, we need to determine the bounds for our variables. Since we are working in the first octant, we know that 0 <= z, 0 <= theta <= pi/2, and 0 <= r.

Next, we need to find the equation for the upper and lower bounds of z in terms of r and theta. We can start with the equation \(y^2 = 4 - x\) and substitute y = 2z to get:

\((2z)^2 = 4 - x\)

\(4z^2 = 4 - x\)

\(x = 4 - 4z^2\)

We can then use this equation along with the equation z = y/2 to get the bounds for z:

\(0 < = z < = (4 - x)^(1/2)/2 = (4 - 4z^2)^(1/2)/2\)

Squaring both sides, we get:

\(0 < = z^2 < = (1 - z^2)/2\)

\(0 < = 2z^2 < = 1 - z^2\)

\(z^2 < = 1/3\)

So the bounds for z are:

\(0 < = z < = (1/3)^(1/2)\)

Finally, we can set up the triple integral in cylindrical coordinates:

V = ∫∫∫ r dz dtheta dr

with bounds:

0 <= r

0 <= theta <= pi/2

\(0 < = z < = (1/3)^(1/2)\)

and integrand:

r

So the volume in the first octant bounded by y^2=4−x and y=2z is:

V = ∫∫∫ r dz dtheta dr

= ∫ from 0 to\((1/3)^(1/2) ∫ from 0 to pi/2 ∫ from 0 to r r dz dtheta dr\)

= ∫ from 0 to\((1/3)^(1/2) ∫ from 0 to pi/2 r^2/2 dtheta dr\)

= ∫ from 0 to\((1/3)^(1/2) r^2 pi/4 dr\)

\(= pi/12 (1/3)^(3/2)\)

= pi/36 sqrt(3)

Therefore, the volume in the first octant bounded by\(y^2=4−x\) and y=2z is pi/36 sqrt(3).

(2) To find the volume bounded by z = x^2 + y^2 and z = 4, we can use a triple integral in cylindrical coordinates.

First, we need to determine the bounds for our variables. Since we are working in the region where z is bounded by \(z = x^2 + y^2\) and z = 4, we know that 0 <= z <= 4.

Next, we can rewrite the equation \(z = x^2 + y^2\) in cylindrical coordinates as \(z = r^2.\)

So the bounds for r and theta are:

0 <= r <= 2

0 <= theta <= 2pi

And the bounds for z are:

\(r^2 < = z < = 4\)

Finally, we can set up the triple integral in cylindrical coordinates:

V = ∫∫∫ r dz dtheta dr

with bounds:

0 <= r <= 2

0 <= theta <= 2pi

\(r^2 < = z < = 4\)

and integrand: 1

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The least distance traveled is \($240\sqrt{3}$\) feet.

Each boy shakes hands with the two boys who are not adjacent to him on the circle. Since there are six boys in total, each boy shakes hands with four other boys. We can represent these handshakes on a graph, where the six vertices represent the six boys and the edges represent the handshakes. Each vertex has degree 4, meaning that there are 12 edges in total.

To minimize the distance traveled, each boy should simply walk directly across the circle to shake hands with the two boys on the opposite side. This way, each boy walks a distance equal to the diameter of the circle, which is \(2 \times 40 = 80$ feet.\)

Since there are six boys, the total distance traveled is \(6 \times 80 = 480$ feet\). However, we have counted each handshake twice, so we need to divide by 2 to get the total distance traveled. This gives us \(240$ feet.\)

To express this answer in the simplest radical form, we can use the fact that an equilateral triangle with side length \(s$\) has height \(s\sqrt{3}/2$\). The six handshakes form an equilateral triangle with side length 80, so its height is \(80\sqrt{3}/2 = 40\sqrt{3}$ feet\). Therefore, the total distance traveled is \(240\sqrt{3}$\) feet.

Therefore, the correct answer is \(240\sqrt{3}$\)feet.

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The slope of the Hubble Constant line is represented by the units "km/sec/Mpc." It indicates the rate of expansion of the universe, where for every Megaparsec (Mpc) of distance, the velocity of recession of galaxies increases by a certain amount in kilometers per second (km/sec).

The value of the Hubble Constant (H) can be obtained by determining the specific numerical value associated with the slope of the Hubble Constant line. This value represents the current estimate of the rate of expansion of the universe. However, without providing any specific numbers or measurements, it is not possible to calculate or provide the exact value of the Hubble Constant. The Hubble Constant is typically expressed as a numerical value followed by the units km/sec/Mpc.

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The value of (ΣX)² for the scores 1, 5, 2 is:  

64

It is the representation of the sum of infinite or many values. And it is represented by the following symbol:

∑xi

The value of (ΣX)² for the scores 1, 5, 2 can be found by first finding the summation of the scores and then squaring the result.

Steps to follow:

Step 1: Find the summation of the scores.
            ΣX = 1 + 5 + 2 = 8

Step 2: Square the summation.
            (ΣX)² = 82 = 64

Therefore, the value of (ΣX)² for the scores 1, 5, 2 is 64.

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Answer:

y= -x-4

Step-by-step explanation:

x+y=-4

move the x to the other side

y= -x-4

The function f(x)=1+|2x-5| in piecewise form without using absolute values will be f₁ = 4, f₂ = 2 and  a = 5/2.

Given that,

f(x) = 1 + |2x - 5|

And,

f(x) = {f₁       x < a

         {f₂      x ≥ a

Now,

We have,

f(x) = 1 + |2x - 5|

And,

By definition of absolute value,

|x| = {x        x ≥ 0

       {-x       x < 0

And,

Given the absolute value,

|2x - 5|

Solve for x,

i.e.

2x - 5 = 0

We get,

x = 5/2 = 2.5

i.e.

a = 5/2

i.e.

For all values greater than x = 5/2, 2x - 5 is positive,

And,

For all values less than x = 5/2, 2x - 5 is negative.

So,

|x| = {x        x ≥ 5/2

       {-x       x < 5/2

i.e.

|2x - 5| = {2x - 5        x ≥ 5/2

              {-(2x - 5)       x < 5/2

Now,

f(1) = 1 + |2(1) - 5|

We get,

f₁ = 4

And,

f(2) = 1 + |2(2) - 5|

We get,

f₂ = 2

Hence we can say that the function f(x)=1+|2x-5| in piecewise form without using absolute values will be f₁ = 4, f₂ = 2 and  a = 5/2.

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