the probability that a student likes math is 0.7 and the probability that a student likes history is 0.2 . if only 10% of students like both math and history, what is the probability that a student chosen at random dislikes at least one of them?

Therefore , the solution of the given problem of angles comes out to be

YZ || UV  by following given equality.

Euclidean geometry defines an angle as a shape made up of two rays, referred to as the angle's extremities, that come together at a vertex in the middle. Two rays may combine to form an angle in the surfaces where they are positioned. When two planes collide, an angle too is created. They are referred to as dihedral angles. The shape that two rays and lines with a similar termination can adopt in plane geometry is called an angle. The word "angle" in English is derived from the Latin word "angulus," which meaning "horn."

Here,

Given :

=> m∠1 + m∠5 = 180°

=> m∠1 + m∠4 = 180°

To prove :

YZ || UV

Since,

=> m∠1 + m∠5 = m∠1 + m∠4

=> m∠5 = m∠4 (are equal)

and

=> m∠1 = m∠1  (given)

So, by the following we can say

=> YZ || UV

Thus , YZ || UV .

Therefore , the solution of the given problem of angles comes out to be

YZ || UV  by following given equality.

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Answer:

To estimate the value of (4.532789...)², we can square 4.53 and add the decimal point and digits that come after it:

4.53² = 20.4808

So (4.532789...)² would be approximately 20.4808

To convert an area from inches to centimeters, conversion factor should be 15.24 square centimeters.

To convert an area from inches to centimeters, we use the conversion factor of 2.54 cm per inch.

This means that for every inch, there are 2.54 centimeters. In order to find the area in centimeters, we first need to find the area in inches, and then multiply it by 2.54.

To find the area, we use the formula
=> area = length x width.

Let's say the length of a rectangle is 2 inches and the width is 3 inches. The area of this rectangle would be 6 square inches

=> (2 x 3 = 6).

To convert this area to square centimeters, we multiply the area in inches by 2.54.

So,

=> 6 square inches x 2.54 = 15.24 square centimeters.

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Como se puede ver, el gasto del canal calculado con el método de integración gráfica coincide con el caudal transportado, por lo que el cálculo es correcto.

El caudal transportado es el volumen (m3) de agua que fluye a través de una sección transversal de un canal por unidad de tiempo, en este caso es de 18.4m3/s. La pendiente de fondo es la pendiente de la superficie de fondo de un canal, en este caso es de 0.022. El coeficiente de rugosidad es una medida de la rugosidad del canal, en este caso es de 0.024.

Para calcular el gasto del canal utilizando el método de integración gráfica, se usa la siguiente fórmula:

Q = A*(S^(1/2))*C*(L^(2/3))

Donde Q es el gasto en m3/s, A es el área de sección transversal del canal en m2, S es la pendiente de fondo en m/m, C es el coeficiente de rugosidad del canal y L es la longitud del canal en m.

En este caso, el área de sección transversal es de 18.4m2, la pendiente de fondo es de 0.022 m/m, el coeficiente de rugosidad es de 0.024 y la longitud del canal es de 400m.

Utilizando los datos anteriores, el gasto del canal es de:

Q = 18.4 * (0.022^(1/2)) * 0.024 * (400^(2/3))

Q = 18.4 * 0.05 * 0.024 * 8.93

Q = 18.4m3/s

Como se puede ver, el gasto del canal calculado con el método de integración gráfica coincide con el caudal transportado, por lo que el cálculo es correcto.

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The formula given is a logistic function, which is used to map a set of input variables (x1, x2, x3, x4, x5, x6) to a single output value.

The formula takes the maximum of x1 and x2, multiplies it by x3 and x4, and then takes the product of (x5 x6) and 1/2. This product is then passed through a probability , which is a non-linear transformation that outputs a value between 0 and 1. Finally, this output value is taken to the power of 5 to produce the final output of the function. This logistic function is used to map the input values to a single output value, which can then be used to make predictions, such as determining a probability of an event occurring.

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Answer:

  a. y = -x +2

  b. x appears to the first power (only)

Step-by-step explanation:

You want an equation and an explanation of why it is linear for the rule "input: x; output: y, 2 more than -1 times x".

The given wording tells you what the equation is:

  y = 2 + (-1·x) . . . . . . 2 more than -1 times x

  y = -x +2 . . . . . simplified

The equation is a linear equation because the variable x only shows up to the first power.

It has a time complexity   is 1 as n is a constant.

Time complexity

The time complexity is the number of operations an algorithm performs to complete its task . The algorithm that performs the task in the smallest number of operations is considered the most efficient one in terms of the time complexity.

The number of operations in the best case is constant. The best-case time complexity would therefore be Θ (1). Most of the time, we perform worst-case analysis to analyze algorithms. In the worst analysis, we guarantee an upper bound on the execution time of an algorithm which is good information.

A simple way of quantifying complexity on a structural basis would be to count the number of components and/or interactions within a system.

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Step-by-step explanation:

Let the number be [tex]\overline{abc}=100a+10b+c[/tex].

[tex]100a+10b+c=34a+34b+34c \\ \\ 66a-24b-33c=0 \\ \\ 22a-8b-11c=0[/tex]

Taking the equation mod [tex]11[/tex] yields [tex]-8b \equiv \pmod{11}[/tex], meaning [tex]b=0[/tex].

So, [tex]22a-11c=0 \implies c=2a[/tex].

So, the only possibilites are [tex](a,c)=(1,2), (2,4),(3,6), (4,8)[/tex].

Therefore, there are [tex]4[/tex] such numbers.

Differentiation from First Principles is a formal method for determining a tangent's gradient.

What is meant by differentiation?

Finding a function's derivative is the process of differentiation. It is also the process of determining how quickly a function changes in relation to its variables.

According to the Sum rule, a sum of functions' derivatives equals the sum of those functions' derivatives. The derivative of two different functions is the difference of their derivatives, according to the Difference rule.

Differentiation from First Principles is a formal method for determining a tangent's gradient. The straight line connecting any two locations on the curve that are fairly near to one another will have a gradient that is similar to that of the tangent at those places.

s(t) = ∫vdt = ∫sin(πt)dt = (-cos(πt))/π + c

substituting the values t = 3, we get

s(-3) = (-cos(-3π))/π + c = 0

simplifying the above equation, we get

(-cos(3π))/π + c = 0

1/π + c = c

c = -1/π

Therefore, the correct answer is s(t) = (-cos(πt))/π - 1/π = (-cos(πt) - 1)/π.

The complete question is:

Given the velocity v=ds/dt and the initial position of a body moving along a coordinate line, find the body's position at time t. v=sin(pi*t), s(-3)=0

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Answer:

The radius is 4

You have to do half what 8 it 4 an that your answer

For the distribution of quiz score if score x = 3 or higher represents the passing grade then number of individual passed is equal to option c. 16.

Distribution of the quiz score :

x :       5      4        3        2         1

f   :      6       5        5       3          2

Here 'x' represents the score in the quiz.

And 'f' represents the frequency of number of individual got the score x.

Score x = 3 or higher is required to pass the grade.

Number of individual who passed the grade is equal to

= Frequency of [ ( x = 5 ) + ( x = 4 ) + ( x = 3 ) ]

= 6 + 5 + 5

= 16

Therefore, option c. 16 represents the number of individuals from the distribution of quiz score has passed the grade.

The above question is incomplete, the complete question is:

For the following distribution of quiz scores, if a score of X = 3 or higher is needed for a passing grade, how many individuals passed?

x :       5      4        3        2         1

f   :      6       5        5       3          2

Which one would it be the correct answer.

a. 3            b. 11          c. 16          d. cannot be determined

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Step-by-step explanation:

[tex] \geqslant [/tex]

^ This specific symbol means "Greater Than OR equal to"

Since the number is 14, any number 14 or greater will be a solution

On this problem

16, 18, and 14 are solutions

9 is not a solution

The probability that the first ball is red and the second one is blue is 0.3.

This is calculated by first finding the probability of drawing a red ball, which is 3/5, and then the probability of drawing a blue ball after a red ball has been removed, which is exactly evaluated as 1/4. To find the combined the probability, we multiply the two probabilities: 0.3 = (3/5) * (1/4). This means that if we perform this experiment many times, on average, we would expect to draw a red ball first followed by a blue ball in 30% of the trials.

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No, a set with the given property cannot be countable.

Yes, a set with the given property can be uncountable.

This property is known as being "dense in R," and a classic example of a dense, uncountable set is the set of real numbers, R itself.

A set is a logically arranged group of items that can be represented in either set-builder form or roster form in mathematics. Sets are typically denoted by curly brackets; for instance, A = 1, 2, 3, 4 is a set. The way that sets are represented by a person is always the same: as a group of clearly defined objects or elements.

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The correct method of labelling the population for SRS is 001 - 690.

What is a simple random sample(SRS)?

In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a method of choosing a sample at random.

For the given question,

Total number of students = 690

Number of students to be selected for SRS = 50

One method of creating a straightforward random sample is to number the students from 1 to 690 before using a random number generator to select 50 numbers. A random sample is the most effective at eliminating potential bias because every member of the population has an equal chance of being chosen.

Any two participants must have an equal chance of being selected for the sample, and any group, that isn't larger than the sample size, must be able to have all of its members selected.

Therefore the correct method of labelling the population for SRS is 001 - 690.

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Answer:

B. 000–689

D. 001–690

Step-by-step explanation:

"Two of these answers are correct"

The tilde approximation of the growth function f(n) = n + 5n^4 + nlg(n) is ~5n^4.

The tilde notation is used to describe the asymptotic behavior of a function, which means how the function grows relative to other functions as the input gets very large.

To determine the tilde approximation of the function f(n) = n + 5n^4 + nlg(n), we need to identify the term that grows the fastest as n becomes very large.

Analyze the first term: n. As n gets larger, the term n becomes relatively smaller compared to the other terms in the function.

Analyze the second term: 5n^4. This term grows much faster than the first term as n becomes larger.

Analyze the third term: nlg(n). The logarithmic term grows slower than the polynomial term, meaning that it becomes relatively smaller as n becomes larger.

Based on the analysis above, we can conclude that the dominant term in the function is 5n^4.

Therefore, the tilde approximation of the function f(n) = n + 5n^4 + nlg(n) is ~5n^4, meaning that the function grows approximately as n^4 when n becomes very large.

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Total number of ways to get from bottom left cell to the top right cell in a  13 × 13 grid using move two cells up or three cells to the right is equal to    2 ways.

Size of the grid is 13 × 13.

Number of rows = 13

Number of columns = 13

Condition for the movement is two cells up or three cells to the right direction.

Here neither 2 nor 3 is a multiple of 13.

It is not possible to divide 13 by any one.

First way of movement is:

Four movement of three cells to the right and then six movement of two cells up.

Second way:

And three cells right →two cells up→ three cells right →two cells up→ three cells right →two cells up→ three cells right →two cells up three times.

Therefore, the number of ways in the 13 × 13 grid to move from bottom left cell to top right cell is 2 ways.

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The ratio of CHERRIES to GRAPES is 3:2.

The ratio of GREEN APPLES to GRAPES is 2:1.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

In a bag of jolly ranchers, it consisted of:

15 cherry, 20 green apple, 17 blue raspberry, 10 grape and 13 watermelon.

So, the ratio of cherries to grapes

= 15 / 10

= 3/ 2

and, the ratio of Green apples to Grapes

= 20 / 10

= 2

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A plane is traveling at a constant speed of K kilometers per hour. The coordinate represented on the graph is option A: (1,K)

What is speed?

The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

The plane is traveling at a constant speed of K kilometers per hour.

K is considered the speed of the plane.

The formula for speed is given as -

Speed = Distance / Time

K = Distance / Time

Distance = K × Time

The value of time is given 1 hour.

Distance = K × 1

Distance = K miles

Therefore, k miles will be traveled in one 1 hour and ordered pair of the given point on the line will be (1, k).

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With two gallon of milk can be made 256 serving

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem the we have to convert the units with the given information.

1 gallon is equal to 16 cups, so:

2 gallons * (16 cups/1 gallon) = 32 cups

A mixed operation is solved as follows:

For the denominator: the same denominator is placed.

For the numerator:

1 1/4 =

[(4*1)+1]/4 =

(4+1)/4 =

5/4

Number of serving = (32 cup * 10 serving) / 5/4 cups

Number of serving = 256 serving

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Correctly written question:

A recipe uses 1 1/4 cups of milk to make 10 servings. If the same amount of milk is used for each serving how many servings can be made using two gallon of milk?

Answer:((3.14) * (9) * (18))/2 (the last option)

Step-by-step explanation:

V = 1/2 * πr²h

V = 1/2 * π (3^2) 18

V = 1/2 * (3.14) * (9) * (18)

V = ((3.14) * (9) * (18))/2

Answer:

A) See below

B) It is nonlinear and it is a function

Step-by-step explanation:

A) Go along the bottom and find 1, then go straight up to 8 and plot a point.  Then go along the bottom and find 2,  then go straight up to 6 and plot the second point.  Go along the bottom to 3 and go straight up to 2 and plot the third point.  Lastly, go along the bottom to 4 and go up one and plot a point.

You will see that you graph is not a straight line, so it is nonlinear.

It is a function because every input (x) value, has only one output (y) value.

Dog's position= p

Distance =  rate*time

Dog distance= 720T

The fox position= p+60

Distance= rate*time

d=  750t-60 (Subtract 60 since the fox is already ahead of the dog)

We want to know if their distances are the same. So set  up an equation.

720t=750t-60

-750t   -750t

-30t/-30= -60/-30

t=2(Time)

d= 720(2)= 1440

d= 750(2)-60= 1440

You can use the equation:

k = 125 / 5

Where k is the number of emergency kits that Brody packs and 5 is the number of water bottles he puts in each kit.

This equation is determined based on the information given in the problem: "Brody puts 5 water bottles into each kit they pack, and in all, he packs 125 water bottles." To find the number of kits, we need to divide the total number of water bottles (125) by the number of water bottles in each kit (5). This gives us the number of kits, k, that Brody packs.

This equation is specific to this problem and may not be applicable to every problem. It depends on the specific information given in each problem. In general, to determine the equation for a problem, you need to understand the relationships between the variables involved and express them mathematically. The equation will depend on the specific details of the problem and may not be the same for every problem.

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Answer:

No real solutions

Step-by-step explanation:

[tex]x^2-12x+40=0 \\ \\ x^2-12x=-40 \\ \\ x^2-12x+36=-4 \\ \\ (x-6)^2=-4[/tex]

By the trivial inequality, there are no real solutions.

Answer:

see below

Step-by-step explanation:

Associative property of addition: Changing the grouping of addends does not change the sum.

e.g.,( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4)left parenthesis, 2, plus, 3, right parenthesis, plus, 4, equals, 2, plus, left parenthesis, 3, plus, 4, right parenthesis.

Associative property of addition: Changing the grouping of addends does not change the sum.

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Answer: C

Step-by-step explanation:

x+3>2 and x+3<-2 (flip the sign)

if we solve both of them we get

x < -5 and x > -1

plot on number line accordingly

The point is a solution to the system of linear equations is (3/4, 1/4).

A system of linear equations consists of two or more equations, each of which has two or more variables, all of which are taken into account concurrently. Any ordered pair that satisfies each equation separately is the solution to a system of two-variable linear equations.

Let the equation be

x + y = 1 ------(1)

3x - y = 3 ------(2)

Add equation (1) and (2), we get

x + y + 3x - y = 1 + 2

simplifying the equation, we get

⇒ 4x = 3

⇒ x = 3/4

Put x = 3/4 in equation (1), then

3/4 + y = 1

simplifying the equation

y = 1 - 3/4

y = 1/4

(x, y) = (3/4, 1/4)

The conclusion is that (3/4, 1/4) is the solution to the system of linear equations.

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Answer:

750%

Step-by-step explanation:

Number lines shows the represents the point

But 1000 - 250 %

And the answer is 750%