What is the displacement when A truck drives 8 km east, 5 km south, then 8 km west?
1 km
8 km
21 km
O5 km south
13 km south
West
North
South
East

When 3 is the input, the output is 30 and When 10 is the input, the output is 150.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

We need to find the output When 3 is the input and 10 is the input.

When 3 is the input, the output is 30. When 10 is the input, the output is 150 Based on the plots, both bulbs have y increasing as x increases.

Therefore, first bulb and second bulb are both increasing.

Hence,  When 3 is the input, the output is 30 and When 10 is the input, the output is 150.

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The standard form of the monomial 2 · (1 / 3) · a² · x · (- 3 / 7) · a³ · x² is the monomial - (2 / 7) · a⁵ · x³. The coefficient es - 2 / 7.

In this problem we find the case of a monomial that must be simplified into standard form, which can be rewritten in standard form by algebra properties. First, write the complete monomial:

2 · (1 / 3) · a² · x · (- 3 / 7) · a³ · x²

Second, use commutative and associative properties between similar expressions:

[2 · (1 / 3) · (- 3 / 7)] · (a² · a³) · (x · x²)

Third, use the definition of multiplication and power properties:

- (2 / 7) · a⁵ · x³

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Answer: $59.99 or $60

Step-by-step explanation: Subtract 500 twice and 150 from each answers you get from subtracting 500 from 1359.99

The required standard deviation of the new data set is 9.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

When 16 is added to each number in the data set, the variance of the new data set is not affected. The variance of a data set is the average of the squared deviations of the data values from the mean, and adding a constant to each data value shifts the mean but does not affect the deviations or their squares.

However, the standard deviation, which is the square root of the variance, will change because the standard deviation is expressed in the same units as the original data, while the variance is expressed in squared units. To find the standard deviation of the new data set, we need to take the square root of the variance, which is 81, and add 16 to each data value. The standard deviation of the new data set is equal to the square root of 81 + 16 = 9.

So, the standard deviation of the new data set is 9.

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multiply the numbers

The area of a triangle with the given base and height is 9.5625 square inches.

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

From the given triangle, height is 2.5 inches.

By using Pythagoras theorem,

3²=x²+2.5²

9=x²+6.25

x²=9-6.25

x²=2.75

x=1.65 inches

So, the base = 6+1.65=7.65 inches

Area of a triangle = 1/2 ×7.65×2.5

= 0.5×7.65×2.5

= 9.5625 square inches.

Therefore, the area is 9.5625 square inches.

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Theprobability of discovering one or fewer surface flaws in a randomly chosen unit is 0.35.

Let X shows the number of surface defects at a randomly selected unit. Here X has Poisson distribution with parameters [tex]\lambda[/tex] =3. So the probablity of finding one or less surface defects at a randomly selected unit is

[tex]P(X\leq 1)=\frac{e^{-3}(3)^{0}}{0!}+\frac{e^{-3}(3)^{1}}{1!}=0.199[/tex]

Hence, the required probability is 0.199.

The probability of finding more than 3 defects at a randomly selected unit is

[tex]P(X > 3)=1-P(X\leq 3)=0.35[/tex]

Therefore, the probability of discovering one or fewer surface flaws at a randomly chosen unit is 0.35.

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Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

y=mx+b

M=slope B=Y-intercept

The probability that a randomly selected tire will have a life of at least 47,500 miles is 6.68%, which corresponds to answer choice c: .0668.

Probability is a mathematical concept that measures the likelihood or chance of an event occurring.It is a number between 0 and 1, with 0 designating an impossibility and 1 indicating a certainty. The probability of an event is calculated as the number of favorable outcomes divided by the number of possible outcomes.

The probability that a randomly selected tire will have a life of at least 47,500 miles can be found using a normal distribution and the z-score formula.

The z-score is calculated as follows:

z = (47,500 - 40,000) / 5,000 = 3.5

Using a standard normal table or calculator, we can find the cumulative probability associated with a z-score of 3.5. The probability that a randomly selected tire will have a life of at least 47,500 miles is:

P(X >= 47,500) = 1 - P(X < 47,500) = 1 - .9993 = .0007

Therefore, the answer is: c. .0668

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The LCM of the polynomials is x(x + 3)(x^2 - 3x + 9).

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

x^3+27 and x^3-3x^2+9x​

Let's factor the first polynomial, x^3 + 27:

x^3 + 27 = (x + 3)(x^2 - 3x + 9).

Let's factor the second polynomial, x^3 - 3x^2 + 9x:

x^3 - 3x^2 + 9x = x(x^2 - 3x + 9)

Using the above as a guide, we have the following:

The LCM of these two polynomials is

LCM = x(x + 3)(x^2 - 3x + 9).

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Frequency distribution  is a way to organize qualitative data into categories and record the number of observations in each category.

Differentiate between frequency distribution and relative frequency ?

A frequency distribution lists how frequently each category of data occurs, but a relative frequency analysis lists how frequently each types of information occurs.

One approach to organise data is to use a "frequency distribution," which can be done by listing the data, placing it in a table, or displaying it in a graph. Then, the list's entries (distinct values) are counted in terms of how frequently they have occurred.

Define relative frequency distribution

A "relative frequency distribution," on the other hand, refers to the percentage of the total number of observations that fall into a certain group. Divide each frequency by the total amount of data in the sample to obtain this.

what is qualitative data ?

Quantitative data are counts or measures, whereas qualitative data describe categories. Examples of qualitative data include eye colours and shoe brand names in a consumer survey. Examples of quantitative data are student heights and test results.

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Answer: subtract , largest

Step-by-step explanation:

you keep the largest number, because it is the largest number there

The degree of the polynomial is 12 and the leading coefficient is -1

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

4w^11 - w^12

The degree of a polynomial is the highest power of the polynomial

In this case, we have

Degreee = 12

The leading coefficient is the coefficient of the degree term

So, we have

leading coefficient = -1

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The polynomial is written as -x + 3y - 1/7

The values are -1, 3 and - 1/7

Algebraic expressions are defined as expressions that are composed of terms, factors, constants, coefficients and variables,

These algebraic expressions are also composed of arithmetic operations, such as;

From the information given, we have the polynomial as;

-1/7-x+3y

Now, let us rearrange it in the form of the general formula, ax + by + c, we get;

-x + 3y - 1/7

Then, the values are;

a = -1

b = 3

x = -1/7

Hence, the values are -1, 3 and  -1/7

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Based on the line segments, the vertical angles include the following: A. ZAFE and ZBFD.

In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

Since both line segment AB and line segment BE are interesting lines, we can reasonably infer and logically deduce that they are congruent and as such the magnitude of angle ZAFE is equal to angle ZBFD in accordance with the vertical angles theorem.

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Answer:

[6x^2 + 7x - 20]

Step-by-step explanation:

(2x + 5)(3x - 4)

Utilize FOIL,

First

Outer

Inner

Last

2x * 3x = 6x^2

2x * -4 = -8x

5 * 3x = 15x

5 * -4 = -20

6x^2 - 8x + 15x - 20

Combine like terms:

[6x^2 + 7x - 20]

Answer:

I don't understand ur question.

Step-by-step explanation:

Please there is no picture or complete

If 60% of household use internet service and 80% use television service , then the probability that at least one of these two services from the company is 90%  .

the percent of house hold that use internet service from company is = P(I) = 60% ;

the percent of house hold that use television service from the company is = P(T) = 80% ;

the percent of house hold that use both the services= P(I & T) = 50%  ;

So , the probability that at least one of these two services from the company is calculated as :  P(I or T) = P(I) + P(T) - P(I&T)

⇒ P(I or T)= 60 + 80 - 50 ;

⇒ P(I or T)= 90%  .

Therefore , the required probability is 90% .

The given question is incomplete , the complete question is

In a certain residential suburb, 60% of all households get internet service from the local cable company, 80% get television service from that company, and 50% get both services from that company.

What is the probability that it gets at least one of these two services from the company ?

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There are 8 cans will be needed to cover 208 m² of wall space.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Five cans of paint will cover 130 m² of wall space.

Now, Number of cans to cover 208 m² of wall space is,

⇒ 5 × 208 / 130

⇒ 8

Thus, There are 8 cans will be needed to cover 208 m² of wall space.

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The true statement about the likelihood of occurrence based on probabilities is; D: Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)

The probabilities of Players 1, 2 and 3 are;

P(player 1) = 7/11 = 0.636

P(player 2) = 6/9 = 0.667

P(player 3) = 5/7 = 0.714

The most likely batting average will be the player with the highest probability. the player with the highest probability from the above is player 3 with a probability of 0.714.

The true statement about the probability when the softball players discussed their batting averages after a game is Player 3 is more likely to hit the ball than Player 2 because P (Player 3) > P (Player 2).

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Answer:

Step-by-step explanation: flew down

In order to cross the bridge, the seven cars can form groups of four to cross the bridge in 35 combinations.

The process of combination is used to calculate in how many ways seven cars can form groups of four in order to cross the bridge.

Combination formula is given by:

[tex]nCr = n!/ (n! * (n-r)!)[/tex]

The number of combinations of seven cars taken four at a time can be given by the equation:

C(7,4) = 7!/(4! * (7-4)!)

C(7.4) = 5040/(24*6) = 5040/144 = 35.

Therefore, the seven cars can cross the bridge in groups of four in 35 different combinations.

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The Data Analytics is defined below and the the techniques that university can use to recruit are Identify and target potential students , Evaluate the effectiveness of recruitment strategies .

The Data analytics is defined as the process of examining, cleaning, transforming, and modeling data to discover useful information, gain insights, and support decision-making.

A University might use data analytics techniques to recruit and attract potential students in several ways which are :

(i) Identify and target potential students :

By analyzing data from various sources, such as high school records, standardized test scores, and student behavior patterns, the university can identify students who are most likely to be interested in attending.

(ii) Evaluate the effectiveness of recruitment strategies :

By analyzing data on the response rates, conversion rates, and enrollment rates of students, the university can evaluate the effectiveness of its recruitment strategies and make decisions to improve future recruitment efforts.

(iii) Monitor student engagement:

By tracking and analyzing the student engagement data,  the university can identify which students are most likely to enroll and stay enrolled.

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An equation describing how x and y are related should be completed as y = [1/2]x + [-5].

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

At data point (0, -5), a linear equation in slope-intercept form for this line can be calculated by using point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - (-4) = (-5 - (-4))/(0 - (-2))(x - (-2))

y + 4 = -1/2(x + 2)

y = -x/2 - 1 - 5

y = -x/2 - 5

y = [1/2]x + [-5].

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The values where cos(x) is equal to 0 are excluded from the domain of the function y=sec(x)=1cos(x), or the values 2+n for all integers n. The function's range is either y<=1 or y>=1.

Its root is the Latin verb secare, which means "to cut." Any line that intersects a circle twice is referred to as a secant line, and you can conceive of this line as slicing the circle in half. The distance from the origin to the point where the tangent line intersects the x-axis is the secant function.

1/cos(x) = sec(x) Cot (x) = 1/Tan (x)

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The surface area of the cylindrical gift box is 24πx² + 72xπ + 54π.

The radius of a cylindrical gift box is (2x + 3) inches. The height of the gift box is twice the radius.

Therefore, the surface area of the cylinder can be found as follows:

Hence,

surface area of the cylindrical gift box = 2πr(r + h)

where

Therefore,

r = 2x + 3

h = 2(2x + 3) = 4x + 6

Hence,

surface area of the cylindrical gift box = 2 × π × 2x + 3((2x + 3) + 4x + 6)

surface area of the cylindrical gift box = 2π(2x + 3)(6x + 9)

surface area of the cylindrical gift box = 2π(12x² + 18x + 18x + 27)

surface area of the cylindrical gift box = 2π(12x² + 36x + 27)

surface area of the cylindrical gift box = 24πx² + 72xπ + 54π

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In the given situation (D) randomized block design was used to experiment with incorporating randomization into this study.

An experimental design known as a randomized block design divides the experimental units into units known as blocks.

The experimental units inside each block are assigned the treatments at random.

We have a fully randomized block design when each block has at least one instance of each treatment.

By ensuring that a crucial predictor of the outcome is fairly distributed amongst research groups to require them to be balanced, something that a completely randomized design cannot guarantee, a randomized block design differs from a completely randomized design.

Therefore, in the given situation (D) randomized block design was used to experiment with incorporating randomization into this study.

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Complete question:

R.A. Fisher, a famous statistician, describes a well-known design in his book, Design of Experiments. Five varieties of wheat were compared to determine which gave the highest yield in bushels per acre. Eight farms were available for planting. Each farm was divided into five plots. For each farm, the five varieties were randomly assigned to the five plots with one variety per plot. The varieties were planted on their assigned plots and their yields were measured and compared.

How was randomization incorporated into this study?

A. All five varieties were randomly assigned to the five plots at each farm.

B. The five varieties were randomly assigned to the eight farms - three varieties were planted twice and two varieties only once.

C. It was not incorporated. The wheat seeds were not randomly selected from the population of wheat seeds.

D. Experiment - randomized block design

We must first obtain the number in order to obtain the fraction. You can find the number by using an algebraic expression. The fraction is [tex]\frac{12}{30}[/tex].

A fraction is a piece of the entire. Both are integers in a straightforward fraction. The numerator or denominator of a complex fraction contains a fraction. In mathematics, there are three different types of fractions. Proper fractions, wrong fractions, and mixed fractions are the three types that exist. Fractions are defined by their numerator and denominator terms. In the context of these two words, we describe its types.

Given fraction [tex]\frac{2}{5}[/tex]

Let numerator is [tex]n[/tex]

The denominator is [tex](n+18)[/tex] and the numerator is [tex]18[/tex] less, the fraction is [tex]\frac{n}{n+18}[/tex]

To determine the answer, write the algebraic expression in the form of the question.

[tex]\frac{n}{n+18}=\frac{2}{5}\\n=12[/tex]

Calculate the fraction.

[tex]\frac{n}{n+18}=\frac{12}{12+18}\\\frac{n}{n+18}=\frac{12}{30}[/tex]

As a result, the fraction is [tex]\frac{12}{30}[/tex]

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Answer:

Below

Step-by-step explanation:

to DIVIDE by a fraction, flip the fraction and MULTIPLY

6 ÷  8/9   =   6 x 9/8  = (6x9) / 8 = 54 / 8  = 6 3/4   or    6.75

The population of bacteria in the culture after 7 hours is 4,18,607 bacteria.

Calculating the exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function. Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.

Given:

We have the function

[tex]P_t[/tex] = [tex]P_0[/tex][tex]2^{t/d[/tex]

We have  [tex]P_0[/tex]= 37000

t= 7 hours

d= 2 hours

So, [tex]P_t[/tex] = 37000 x [tex]2^{7/2[/tex]

= 37000 x 11.313708499

= 4,18,607.21 bacteria.

Hence, the population is 4,18,607.21.

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Answer:

The number of times a variable appears in a date set is called a constant.