3. A question on a course evaluation survey for an introductory statistics course asked, "How
do you rate the class textbook on a scale from 1 to 10, where 1 = Not Helpful and 10 =
Very Helpful?" The distribution below summarizes the students' responses to this
question. (3 pts)
Frequency
8
"
H▬▬▬▬▬▬▬▬▬▬▬o
2 0
9
1
2
3 4
6 7 8 9 10
5
Rating
If you estimate the median and the mean, which statement is the appropriate statement for
the mean and the median?
a. Median=2 and mean = 5
b. Median=3 and mean = 3.5
c. Median = 3.5 and mean = 3

IMAGE ABOVE

The expression that is equivalent to the given expression where the expression is given as (18)2⋅(19)2 is (18 * 19)^2

The expression is given as

(18)2⋅(19)2

Rewrite the above expression properly

So, we have

(18)^2 * (19)^2

The factors in the above expression have the same exponent.

So, the expression can be rewritten as

(18 * 19)^2

Hence, the expression that is equivalent to the given expression where the expression is given as (18)2⋅(19)2 is (18 * 19)^2

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The region that represents the solution to the system of two inequalities would be Region A.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

Since x≥0 and y≥0 at every point in the shaded region in the first quadrant represent a solution of the given system of inequalities

Since, the system of two inequalities are strict then in graph lines drawn is dotted line as point on line does not includes in the inequality.

The region that represents the solution to the system of two inequalities would be Region A; because the shaded regions are not required.

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Answer:

The line perpendicular to YX that passes through the point (3,-8) is (y = − x + 5).

Step-by-step explanation:

It is given that a line perpendicular to YX passes through the point (3,-8).​

Now,

The slope of the line perpendicular to the line YX is 1.

=> y = x

So, Slope = 1

Furthermore, the slope of the required line can be written as -1.

So, the required line can be written in slope-intercept form as;

=>  y = − x + c

It is further given that the line passes through the point (3,2);

So, after putting all the value in the above-mentioned equation, we get;

=> 2 = − 3 + c

=> c = 5

So, x + y = 5

Therefore, the line perpendicular to YX that passes through the point (3,-8) is (y = − x + 5).

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The line perpendicular to YX that passes through the point (3,-8) is (y = − x + 5).

In elementary geometry, two geometric objects are perpendicular if they intersect at a right angle. The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂. It can be defined between two lines, between a line and a plane, and between two planes.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

It is given that a line perpendicular to YX passes through the point (3,-8).​

Now,

The slope of the line perpendicular to the line YX is 1.

=> y = x

So, Slope = 1

Further more, the slope of the required line can be written as -1.

So, the required line can be written in slope-intercept form as;

=>  y = − x + c

It is further given that the line passes through the point (3,2);

So, after putting all the value in the above-mentioned equation, we get;

=> 2 = − 3 + c

=> c = 5

So, x + y = 5

Therefore, the line perpendicular to YX that passes through the point (3,-8) is (y = − x + 5).

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A. He now receives paid vacation days at the end after four years of employment = 13Days.

B. he make it while on vacation = $2,704.00

Paid vacation is a set amount of time which employers grant to their employees to spend throughout the year. When an employee spends a paid vacation day, they are not required to work that day, but they will be paid the same as if they had worked.

Paid vacation and sick days assist balance your employees' physical and emotional health and well-being, while also providing adequate paid time off to fulfill personal and family responsibilities while keeping your firm successful.

A. He now receives paid vacation days at the end after four years of employment..

#of years worked             # of vacation days

     0                                                     5

     1                                                5 + 2 = 7

     2                                                7 + 2 = 9

     3                                                9 + 2 = 11

     4                                                11 + 2 = 13

He now receives paid vacation days at the end after four years of employment = 13Days.

B. will he make it while on vacation.

Find his daily pay:

5 days per week with

52 weeks per year

                                  Daily pay = Annual salary/(5 x 52)

                                                     = 54,080/ 260

                                                    = $208.00

Find his vacation pay

Vacation pay = Daily pay x of days

= 208 x 13

= $2,704.00

he make it while on vacation = $2,704.00

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I understand that the question you are looking for is:

Alan works for a printing company. It has been a little over four years since he was hired. He now makes $54,080 per year. When he was hired he was told that he had five days of paid vacation time. For each year that he worked at the company, he would gain another two days of paid vacation time to a maximum of 20 days.

A. How many paid vacation days does he now get at the end of four years of employment.

B. How much will he make during the time he is on vacation?

Answer:

2x = 93

Step-by-step explanation:

(x - 6)2 = 81

2x - 12 = 81

     +12  +12

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

2x = 93

÷2    ÷2

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

x = (93/2)

I hope this helps!

the formula for the polynomial is:

p(x) = (-3/10)*(x - 2)^2*(x + 5)

Here we have a polynomial with the following roots:

So, if we define A as the leading coefficient, we can write the polynomial as:

p(x) = A*(x - 2)^2*(x + 5)

We know that the y-intercept is -6, so evaluating in x = 0 we should get:

p(0) = -6 = A*(0 - 2)^2*(0 + 5) = A*4*5 = A*20

         -6/20 = A = -3/10

Then the formula for the polynomial is:

p(x) = (-3/10)*(x - 2)^2*(x + 5).

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Answer:

Mei is correct because -9 is to the left of -3 on the number line.

Step-by-step explanation:

This is because -9 is LESS than -3, when you add or subtract using negative numbers, such as 7-9, you get -2. However when you subtract 7-13, you get -6. Because you subtracted a greater number from 7, your answer is -6 is LESS than -2. This is the same with inequalities, greater negative numbers will always be smaller and smaller negative numbers will always be greater.

Hope this helps!

You should take this down. Or redo your user name.

Answer:

she bought 3 chicken wings

Step-by-step explanation:

8c = 10.4 --> where c is the cost of a chicken wing

c = 10.4 divided by 8

= 1.3

xc = 3.9 (x = number of chicken wings)

1.3x = 3.9

x = 3.9 divided by 1.3

which is 3

Answer: -1

Step-by-step explanation:

    We will find the answer to this question by isolating the x variable.

    Given:

2(3x – 1) ≥ 4x – 6

    Distribute the 2 with multiplication:

6x – 2 ≥ 4x – 6

    Add 2 to both sides of the equation, and subtract 4x from both sides of the equation:

2x ≥ – 4

    Divide both sides of the equation by 2:

x ≥ -2

    The only value given that is greater than or equal to -2 is -1, leaving us with an answer of;

                 -1

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The solution set of the inequality  2(3x - 1) ≥ 4x - 6 is [-2, ∞). So, -1 belongs to the solution set, i.e., -1 ∈ [-2, ∞).

Mathematically, an inequality is a mathematical assertion that compares the comparative size or order of two quantities. It shows that one quantity is greater than, less than, or not equal to another. The symbols often used to show inequalities are (≥), (≤), or (≠).

The given inequality is

2(3x - 1) ≥ 4x - 6

6x - 2  ≥ 4x -6

6x - 4x ≥ -6 + 2

2x ≥ -4

[tex]x \geq -\frac{4}{2}[/tex]

x ≥ -2

x ∈ (-2, ∞).

The correct answer is -1, as -1 belongs to the solution set of the given inequality.

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The equation of line can be written as, y = 2/3x + 2

Given,

The points, (x, y) = (-3, 0)

Slope = 2/3

Equation of a line, y = mx + c

Where, m is the slope and c is the y-intercept.

Here, m is 2/3.

The point at the x-intercept has co-ordinates : (-3, 0)

Where, x is -3 and y is 0.

So, substitute the values in equation:

y = mx + c

0 = 2/3 × (-3) + c

0 = -2 + c

c = 2

Therefore, the equation of line will be:

y = 2/3x + 2.

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Answer:

3 1/4 hours = 3 + 1/4 = 3 + 0.25 = 3.25. 2 1/2 hours = 2 + 1/2 = 2.5. To find out how much travel time can be saved by taking the express, simply subtract its travel time (which is shorter) from the regular's one. So 3.25 - 2.5 = 0.75 or 3/4.

so the answer is a

Answer: 18x-  9

Step-by-step explanation:

1.) Put the numbers in their correct lineup. 18 * x - 9

2. Add parentheses around 18 * x, secluding them away from the -9.
(18 * x) -9

3.) Remind yourself of PEMDAS (Parentheses, Exponents, Multiplication, Division, Add, and Subtract). In this equation, 18 * x are in parentheses().
(18 * x)

4.) Multiply 18 * x... Which equals 18x.

5. Equation should now look like : 18x - 9

6. You can't combine those two numbers because the coefficiant (The coefficiant is 18.) and the regular number (-9) are not equal.

8. Answer : 18x-9

If antique has a price tag of $467 and sales tax rate be 9% then the sales tax due will be $42.03.

Given that antique has a price tag of $467 and sales tax rate be 9%.

We are required to find the amount of sales that will be due.

A sales tax is basically a tax paid to a governing body for the sales of certain goods and services.

Sales=$467

Sales tax rate=9%

Sales tax=467*9/100

=4203/100

=$42.03

Hence if antique has a price tag of $467 and sales tax rate be 9% then the sales tax due will be $42.03.

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Answer:

63

Step-by-step explanation:

180 -  143 = 37

80 + 37 + x = 180

117 + x = 180

x = 63

The number of toppings where the cost of each pizza would be equal is 5.

The first step is to formulate an equation that represents the cost of each type of pizza.

Total cost = price of cheese pizza + (price per topping x number of toppings)

Cost of pizza A = $10 + $1.50t

Cost of pizza B = $12.50 + t

When the cost of both pizzas are equal, the above equations would be equal to each other.

$10 + $1.50t = $12.50 + t

To determine the value of t, take the following steps:

Combine similar terms: 1.50t - t = $12.50 - $10

Add similar terms = 0.50t = 2,50

Divide both sides by 0.50 = t = 2.50 / 0.50

t = 5

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Answer:

f(x)/y = |x - 3| y

Step-by-step explanation:

Answer:

3rd choice

Step-by-step explanation:

f(x) = x^2 + 1

g(x) = 5 – x

(f + g)(x) = (x^2 + 1 ) + (5 – x)

x^2 + 1  + 5 x^2

x^2 - x + 6

The true statement about the continuity of f(x) at x=−3 is (c) lim x -> -3 f(x) ≠ f(-3)

The graph represents the given parameter

On the graph, there is an open circle at x = -3

This means that there is a removable discontinuity at x = -3

A removable discontinuity at x = -3 implies that

lim x -> a at f(x) exists

However,

lim x -> a at f(x) does not equal lim x -> a at f(a)

Hence, the true statement about the continuity of f(x) at x=−3 is (c) lim x -> -3 f(x) ≠ f(-3)

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The scientific notation and standard form values of A-B-C are as follows:

A) 7.4 is 100 million times larger than 7.4 x 10⁻⁸

B) 10⁻⁸ is 100 million times smaller than 10.

C) The value 7.4 x 10⁻⁸ is 527 times smaller than 0.000039.

We use scientific notation in writing large or small numbers by multiplying a number between 1 and 10 by a power of 10.

Scientific           Standard

Notation              Form

3.9 x 10⁻⁵         0.000039

7.4 x 10⁻⁸          0.000000074

7.4 is 100 million times larger than 7.4 x 10⁻⁸ because 7.4 x 10⁻⁸ = 0.000000074, showing that the decimal point is moved 8 places to the right to get 7.4.  8 zeros are 100 million.

Thus, scientific notations reduce the large numbers so that they are multiplied by the power 10, which may be positive or negative.

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Scientific     Standard

Notation         Form

                     0.000039

7.4 x 10⁻⁸

Answer:

The greatest common factor of 10m2 and 4m4 is:

2

Step-by-step explanation:

I disagree with Neva's conclusion about the rectangular prism

The complete question is added as an attachment

From the question, we have the following statements:

The points where the faces of a rectangular prism meet are called the vertex

Truly, a rectangular prism has 6 faces.

However, the vertices in the rectangular prism is just 8

Hence, I disagree with Neva's conclusion about the rectangular prism

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The correct answer is D. the x- intercept of the given graph is (-1.75,0) and y - intercept is (0,3)

The x-intercept is the location where a line's graph crosses the x-axis.

The y-intercept is the location where a line's graph crosses the y-axis.

The shapes of these points are (x,0) and (0,y), respectively.

Utilize the fact that all x-intercepts have a y-value of zero and all y-intercepts have an x-value of zero to get the x- and y-intercepts algebraically. Set x=0 and find the equivalent y value to calculate the y -intercept. Set y=0 and then figure out the matching x value to discover the x -intercept.

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Answer:

7 Po Pa Brainlest nalang po

Answer:

[tex]\sqrt{20} \text{ or } 2\sqrt{5}[/tex]

Step-by-step explanation:

So in this question we want to use the Pythagorean Theorem which essentially gives us a relationship between the sides of a triangle and is as follows: [tex]a^2+b^2=c^2[/tex]

In this formula the "a" and "b" represent the base and the height and "c" represents the hypotenuse of the triangle

The order in which you assign "a" and "b" do not matter, so let's just say that: [tex]a=4\ \text{and}\ c=6[/tex]

Although it is important that you assign the hypotenuse to "c".

So plugging in known values we have the equation:

[tex]4^2 +b^2=6^2[/tex]

Square the values

[tex]16+b^2=36[/tex]

Subtract1 16 from both sides

[tex]b^2=20[/tex]

take the square root of both sides

[tex]b=\sqrt{20}[/tex]

This "b" represents our other side, which we did not initially know, so this is our answer :)

You can simplify this further by separating the radical into: [tex]\sqrt{20} = \sqrt{4} * \sqrt{5} = 2\sqrt{5}[/tex]

The value of expression without the negative exponent is,

⇒ 2/x⁴

What is Rule of exponent?

The rule of exponent is defined as;

aⁿ = 1/a⁻ⁿ

Now, The expression is given as;

2x⁻⁴

It can be rewrite as;

2x⁻⁴ = 2 / x⁴

Hence, The value of expression without the negative exponent is,

⇒ 2/x⁴

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Answer: square feet

Step-by-step explanation:

2.25 x 10^6=

2.25 * 1,000,000=

225/100 * 1,000,000=

225*1,000,000/100=

225*10,000=2,250,000 ==> can't be square inches since a mile is 63,360 inches. This would mean that 2,250,000 is approximately 40 square miles which is small for a planet.

Square ounces is also a very small unit, so the only appropriate answer and the largest unit available is square feet.

Answer:

C

Step-by-step explanation: