The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an alphabetical list of all 4455 employees at the company and wants to conduct a systematic sample of size50.

The function g( x ) is translated to the left by 9 units and down by 5 units.

Given data ,

Let the first function be represented as f ( x )

where the value of f ( x ) = | x |

Let the translated function be g ( x )

where the value of g ( x ) = | x + 9 | - 5

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

On translating to the left , f ( x + a )

So , the function f ( x ) is translated 9 units to the left by f ( x + 9 ) = | x + 9 |

Now , when the function is translated 5 units down , f ( x ) - 5

So , the translated function is g ( x ) = | x + 9 | - 5

Hence , the function is translated to the left by 9 and up by 5 units.

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De acuerdo con los cálculos realizados en el presente desarrollo, el valor del número menor es 233.

Dado que la suma de cuatro números consecutivos es 938, para determinar cuál es el valor del número menor se debe realizar el siguiente cálculo:

Por lo tanto, el valor del número menor es 233.

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Answer: 50 miles

Step-by-step explanation:

Because 25 x 2 = 50

and 1 inch is 25 miles and 2 inches is then 50 miles

Answer:

C. 50 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

2( 2x + 6 ) + 2( x - 3 ) ≤ 66

3x - 3 ≤ 33

x ≤ 10

x ∈ ( - ∞ , 10]

Answer:

12

Step-by-step explanation:

that is the answer

~nightmare5474~

\(2\frac{2}{3} + 3\frac{1}{3} + 1\frac{2}{3} = 7\frac{2}{3} \)

let's convert each mixed fraction into improper fractions. Therefore,

Improper fractions are fractions that has the numerator bigger than the denominator.

\(2\frac{2}{3} = \frac{8}{3} \)

\(3\frac{1}{3} = \frac{10}{3} \)

\(1\frac{2}{3} = \frac{5}{3} \)

Therefore,

\(\frac{8}{3} + \frac{10}{3} + \frac{5}{3} \)

\( \frac{8}{3} + \frac{10}{3} + \frac{5}{3} = \frac{8 + 10 + 5}{3} = \frac{23}{3} \)

Let's convert our answer back to mixed fractions

\(\frac{23}{3} = 7\frac{2}{3} \)

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Answer:

0.4636 radians

Step-by-step explanation:

To find theta in radians, we need to use the inverse tangent function, also known as arctangent. From the right triangle in the image, we have:

tangent(theta) = opposite/adjacent = 10/20 = 1/2

Taking the inverse tangent of both sides, we get:

theta = arctan(1/2)

Using a calculator or a trigonometric table, we find:

theta ≈ 0.4636 radians

Therefore, theta is approximately 0.4636 radians

Answer:

Step-by-step explanation:

To find the area of the shaded region, we need to first find the x-coordinates of the points where the two functions intersect. We can set f(x) = g(x) and solve for x:

x^4 - 12x^3 + 48x^2 = 44x + 105

x^4 - 12x^3 + 48x^2 - 44x - 105 = 0

We can use a numerical method, such as the Newton-Raphson method, to approximate the roots of this equation. Using a graphing calculator or computer algebra system, we can find that the roots are approximately:

x = -1.932, x = 0.695, x = 4.149

Note that the root x = -1.932 is outside the given interval [3, 4], so we can ignore it.

The shaded region is bounded by the x-axis, the line y = 340, and the graphs of f(x) and g(x) between x = 3 and x = 4. To find the area of this region, we can integrate the difference between the two functions over this interval:

A = ∫3^4 [g(x) - f(x)] dx

A = ∫3^4 [44x + 105 - (x^4 - 12x^3 + 48x^2)] dx

A = ∫3^4 [-x^4 + 12x^3 - 48x^2 + 44x + 105] dx

We can integrate term by term using the power rule:

A = [-x^5/5 + 3x^4 - 16x^3 + 22x^2 + 105x]3^4

A = [-1024/5 + 192 - 192 + 22 + 105] - [-81/5 + 108 - 192 + 66 + 105]

A = 347.2

Therefore, the area of the shaded region is approximately 347.2 square units.

Answer:

Step-by-step explanation:

Based on the information provided, the residual plot makes sense based on the scatter plot.

In the given scatter plot, the points are plotted with horsepower on the x-axis and observed MPG (miles per gallon) on the y-axis. The scatter plot shows the relationship between horsepower and MPG for the motorcycles.

The residual plot, on the other hand, shows the differences between the observed MPG values and the predicted MPG values based on the regression line or model. Residuals represent the vertical distances between the observed data points and the regression line.

Looking at the residual plot, we can see that the residuals are scattered randomly around the zero line. Some residuals are positive, while others are negative, indicating that the observed MPG values deviate both above and below the predicted MPG values.

Given this information, option A is the correct answer: "The random residual plot makes sense because the scatter plot appears to have a linear relationship." The scatter plot does not necessarily suggest a positive or negative relationship between horsepower and MPG. It simply shows the general trend or pattern. The random distribution of residuals in the residual plot indicates that the regression model is capturing the relationship adequately, and the variations or deviations from the regression line are random, which is expected in a good regression model.

The residual plot created by Jorge does make sense as it reflects the negative relationship between horsepower and miles per gallon present in the original scatter plot. As the horsepower increases, the miles per gallon decreases which is depicted accurately in the residual plot made.

The best answer for this is B. The random residual plot makes sense because the scatter plot appears to have a negative relationship. A residual plot is a graph that is used to examine the goodness of fit in regression and ANOVA analysis. It is the differences between the observed and predicted values of data. The points in a residual plot are randomly dispersed around a horizontal axis if the corresponding regression model is appropriate for the data.

In this case, the scatter plot demonstrates a negative relationship between the horsepower of motorcycles and miles per gallon. As the horsepower increases, the miles per gallon decrease. This negative relationship is reflected in the pattern of residuals, which fluctuates around the zero line on the y-axis of the residual plot. Consequently, the random distribution of residuals on Jorge's plot does make sense given the scatter plot data.

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Using the together rate, it is found that it will take them 18 minutes to prepare the cards working together.

The together rate is the sum of each separate rate.

In this problem:

Hence, the time it will take for them to make the cards is given by:

\(\frac{1}{x} = \frac{1}{45} + \frac{1}{30}\)

\(\frac{1}{x} = \frac{5}{90}\)

5x = 90

x = 18 minutes.

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Given:

Triangle END is translated using the rule

to create triangle E′N′D′.

Required:

We need to describe the line segment when a line segment is drawn from point E to point E′ and from point N to point N′,

Explanation:

Let E(0,0), N(2,0), and D(0,2) be the points of the triangle END.

Use the translation rule to find the triangle E'N'D'.

Substitute x =0 and y =0 in the translation rule.

Substitute x =2 and y =0 in the translation rule.

Substitute x =0 and y =2 in the translation rule.

We get the point E'(-4,-1), N'(-2,-1), and D'(-4,1).

Mark the points E(0,0), N(2,0), D(0,2), E'(-4,-1), N'(-2,-1), and D'(-4,1) on the graph and draw a line segment from point E to point E′ and from point N to point N′,

From the figure, we get that the lines are parallel and congruent.

Final answer:

They are parallel and congruent.

Answer: 1/8x - 5/6

Step-by-step explanation:

Let's move the similar terms of the problem together.

So first we have:

-3/4x + 7/8x

And then we have:

-1/3 - 1/2

So to add/subtract fractions, the denominators have to be equal. We can change the -3/4 into -6/8 by just multiplying by 2/2 which is just 1. (Anything multiplied by 1 is just itself). So then we have:

-6/8x + 7/8x ---> 1/8x

Next, the second part.

Since neither denominators (3 or 2) can turn into one another by multiplying them with a number, we'll just multiply them with the opposite denominator.
So then we have:

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

-2/6 - 3/6 = -5/6

So finally we have:

1/8x - 5/6

Answer:

20°

Step-by-step explanation:

Complementary means when two angles add up to 90°

90° - 70° = 20°

First we must obtain the relationship between the grade, the mean and the standard deviation of exam A

Now we have to find the required score for exam B to reach the same ratio factor z

As seen in the calculations, Nevaeh must score 354 on Exam B to equal the score on Exam A

Answer:

(0,8)

Step-by-step explanation:

here you go!

Answer:

75

Step-by-step explanation:

f(4) means to use 4 in place of x.

f(x) = 3(5)^(x-2)

fill in 4 for

f(4) = 3(5)^(4-2)

do the 4-2 subtraction first

f(4) = 3(5)^2

do the 5 to the 2nd power next.

f(4) = 3(25)

last, multiply.

f(4) = 75

This is just following the typical order of operations.

Step 1

Find the area of the Square in the middle

Formula for finding square:

\(A = L*W\)

Let's apply the formula and find our answer:

\(A = 2*2\\=4\)

The area of the square is 4 units

Step 2

Find the area of all 4 triangles around the square

As you know, the formula for finding 1 triangle is as follows:

\(A = \frac{1}{2} *B*H\)

But, to find the area of 2 triangles, we can use this formula:

\(A=B*H\)

And to find 4 of them (with same dimensions;as required here), we can use this one:

\(A=2*B*H\)

Let's apply the formula then! What are we waiting for!!!!

\(A=2*2*2\\=2*4\\=8\)

The area of ALL of the triangles around the square is 8 units

Step 3

Add all areas to find FINAL ANSWER!

Easy!

4+8=12

Answer:

12 is the answer because 2 x 2 = 4 but since it is a triangular face we half it and end up with 2, 2 x 4 is 8, the square it 2 x 2 = 4 so we add 4 and 8 which equals 12  

Answer:

Bottom right

Step-by-step explanation:

Answer: bottom right!!

Step-by-step explanation

Answer: C. 6t

Step-by-step explanation:

T is unknown, but because you are only asked for the equation to figure out the total,  you simply multiply the 6 chairs per t, or table together, 6t

Answer:

if it is bracket than see explanation

darw a table with

x 3 5 -4

y 0 2 -7

taking x as 3 so

y= (3-1)-2

= 0

so like this do by 5 also and -4 too

and after solving plot in in the graph

Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

The answer of the given question based on the equation is , the unknown number is 6.

An equation is the  mathematical statement that asserts equality of the two expressions. It typically consists of the two expressions separated by equal sign " = ". The expressions can include variables, constants, and mathematical operations like addition, subtraction, multiplication, division, and exponentiation. Solving an equation involves finding the value(s) of the variable(s) that make the equation true.

The statement can be translated into an equation as follows:

2(y - 2) = 8

Simplifying the equation, we can distribute the 2 on the left-hand side:

2y - 4 = 8

Then, we can add 4 to both sides to isolate the variable:

2y = 12

Finally, we divide both sides by 2 to solve for y:

y = 6

Therefore, the unknown number is 6.

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The measure of the angle m∠SRP formed by a pair of parallel lines cut by a transversal line is equal to 132°.

When a transversal line intersects a pair of parallel lines, several angles are formed which includes: Corresponding angles, vertical angles, and alternate angles.

The angles m∠VUP and m∠TUW are vertically opposite angles and are equal so;

m∠VUP = 132°

The angles m∠SRP and m∠VUP are corresponding angles and are equal hence;

m∠SRP = 132°

In conclusion, the measure of the angle m∠SRP is equal to 132°.

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Answer:

mathhhhhhhhhhhhhhhhhhhdjihjhhhhhhhhhhhhhhh

Step-by-step explanation:

logicccccccccccccccccccccccccccc

Answer: 1  13/25

Step 1: Write down the percent divided by 100 like this:

152% = 152/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As 152 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(152,100) = 4. So,

(152÷4)/(100÷4) = 38/25 when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 152/100 is also equal to 1 13/25 when expressed as a mixed number.

Answer:

24.5%

Step-by-step explanation:

Given

P(Off-Campus) = 0.30

P(Part-Time Job | Off-Campus) = 0.62

P(Part-Time Job | On-Campus) = 0.65

Inferred

P(On-Campus) = 0.70

P(No Part-Time Job | Off-Campus) = 0.38

P(No Part-Time Job | On-Campus) = 0.35

Calculation

P(No Part-Time Job | On-Campus) = P(No Part-Time Job ∩ On-Campus)/P(On-Campus)

0.35 = P(No Part-Time Job ∩ On-Campus)/0.70

0.245 = P(No Part-Time Job ∩ On-Campus)

Therefore, 24.5% of students that live on campus do not have a part-time job.

Answer:

As many as he thinks is enough

Step-by-step explanation:

1. There is no specific wag to answer this it has no answer choices or any type of math hint of how many cherries he wants.

Answer:

x = 5/4

y = 15/16

Step-by-step explanation:

System of 2 equations

Applying substitution method

3/4x = y

5/2x + 2(3/4 x) = 5

5/2 x + 6/4 x = 5

16/4 x = 5

4x = 5

x= 5/4

3/4 * 5/4 = 15/16