In order to help decide when and where to advertise, an outdoor equipment repair company decided to pull invoices and tally what types of power tools were repaired. There were twenty-five power tools repaired that month. What is the level of measurement for the data

Answer:

$38.50

Step-by-step explanation:

⇒ Find 30% of 55:

30% of 55 = 16.5

⇒ But that’s not the answer. That’s 30% of 55. The question says it’s 30% off. So you need to subtract 16.5 from 55:

55 – 16.5 = 38.5

⇒ You can also see that you can just straight up do 70% of 55:

70% of 55 = 38.5

Answer: $38.50

Hope this helps! :)

The system of inequalities that best represents this situation is:

6x + 3y ≥ 550,000, x ≤ 100,000, y ≤ 40,000

The first inequality represents the condition that the park hopes to earn back more than the 5500,000 cost of construction in four years. The second and third inequalities represent the maximum number of adult and child rides that can be provided in one season, respectively.

What are inequalities?

Inequalities are mathematical statements that compare two values or expressions, indicating whether one value is greater than, less than, or equal to the other value. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), and "!=" (not equal to).

For example, the inequality "x < 5" means that the value of x is less than 5. Similarly, the inequality "y≥ 10" means that the value of y is greater than or equal to 10. Inequalities can involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.

To know more about inequalities, visit:

https://brainly.com/question/30228778

#SPJ1

Answer:

The answer is 50

Answer:

1024

Step-by-step explanation:

16x2=32

32x2=64

64x2=128

128x2=256

256x2=512

512x2=1024

x= previous term multiplied by 2

hopefully this helps :)

Explanation

Given

We will have;

Answer: Option D

Answer:

The correct 90% confidence interval for the difference between women and men in the average number of hours of personal time taken per year is

contained by the interval (0.54 , 5.18)

Step-by-step explanation:

Given that:

for women

sample size  = n₁ = 16

sample mean \((\bar X_1)\) = 24.75

standard deviation s₁ = 2.84

for men

sample size for men = n₂ = 7

sample mean \((\bar X_2)\) = 21.89

standard deviation s₂ = 3.29

degree of freedom = \((n_1 + n_2 )-2\)

= 16 + 7 -2

= 21

The critical value for \(\alpha = 0.1 \ and \ df \ of \ 21 \ is :\)

\(t_{0.005;21}= 1.721\)

The pooled standard deviation can be calculated as follows since the population variances are assumed to be equivalent.

\(s_p = \sqrt{\dfrac{(n_1 -1)s_1^2+(n_2-1)s_2^2}{n_1+n_2-2}}\)

\(s_p = \sqrt{\dfrac{(16 -1)2.84^2+(7-1)3.29^2}{16+7-2}}\)

\(s_p = \sqrt{\dfrac{(15)8.0656+(6)10.8241}{21}}\)

\(s_p = 2.976\)

The standard error is estimated as follow:

\(se = s_p\sqrt{\dfrac{1}{n_1} + \dfrac{1}{n_2}}\)

\(se = 2.976\sqrt{\dfrac{1}{16} + \dfrac{1}{7}}\)

se = 1.348

Finally, the confidence interval \(C.I = ( x_1 -x_2 -t_c \times se \ \ ; \ \ x_1-x_2 +t_c \times se)\)

\(=(24.75 - 21.89 -1.721 \times 1.348 \ \ , \ \ 2475 - 21.89 + 1.721 \times 1.348) \\ \\ \mathbf{ = (0.54 \ \ , \ \ 5.18)}\)

Answer:

Step-by-step explanation:

30

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

For more such questions on Amy:

https://brainly.com/question/25319846

#SPJ8

Answer:

4. w+4=s

5. Winn's sister will be 18 years old when Winn is 14.

Step-by-step explanation:

4. Winn's age + 4 years is Winn's sisters age. They are four years apart.

5. Winn's sister is 4 years older than Winn so Winn's sister will be 18 when Winn is 14.

Answer:

A(w) = 692 - 12w - (8000/w)

Step-by-step explanation:

Since it has a total area of 500 cm², it means that;

A = hw

Where;

A is area

h is height

w is width

Thus;

500 = hw

h = 500/w

We are told that There is a margin around the edges of 4 cm at the top and 8 cm on the bottom and sides where nothing is printed.

Thus;

We have height as; (h - 4 - 8) and width as; (w - 8 - 8)

Thus;

Area = (h - 4 - 8) × (w - 8 - 8)

Area = (h - 12) × (w - 16)

We know that h = 500/w

And we want to find the printed area in terms of the width(w)

Thus;

A(w) = ((500/w) - 12) × (w - 16)

A(w) = 500 - 12w - 8000/w + 192

A(w) = 692 - 12w - (8000/w)

Using the area formula, the appropriate expression for the area of the poster is A(w) = - 8000/w - 12w + 692

Total Area = 500 cm²

Area = Length × width

Entire area can be expressed thus :

Area with print can be expressed thus :

Length with print = (l - 8 - 4) = (l - 12) cm

Height with print = (w - 2(8)) = (w - 16) cm

Area = (l - 12)(w - 16)

Area = (500/w - 12)(w - 16)

Expressing in terms of width :

A(w) = 500 - 8000/w - 12w + 192

A(w) = - 8000/w - 12w + 692

Hence, the required expression is : A(w) = - 8000/w - 12w + 692

The simplified value of the expression ((2⁵ x 5²² - 2 x 5²¹) / 25¹⁰ is 790.

To simplify the expression (2⁵ x 5²² - 2 x 5²¹) / 25¹⁰.

we can use the properties of exponents and the fact that 25 = 5².

First, let's simplify the numerator:

(2⁵ x 5²² - 2 x 5²¹)

Using the distributive property, we can factor out 5²¹ from both terms:

= 5²¹ x (2⁵ x 5 -2)

= 5²¹ (32 x 5- 2)

= 5²¹ (160-2)

= 5²¹ x 158

Now, let's simplify the denominator: 25¹⁰

Since 25 = 5², we can rewrite it as (5²)¹⁰, which gives us:

=  (5²)¹⁰

= 5²⁰

Using the quotient rule of exponents \((a^m / a^n = a^{(m-n)})\), we can simplify further:

=  5²¹ x 158 / 5²⁰

= 5²¹⁻²⁰ x 158

= 5 x 158

= 790

Therefore, the simplified value of the expression ((2⁵ x 5²² - 2 x 5²¹) / 25¹⁰ is 790.

Learn more about exponents and power here:

https://brainly.com/question/28515493

#SPJ1

Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.

The template: y = mx + b

b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:

y = mx – 2

Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.

So, taking your two points, you calculate the slope, m, in the following way:

(x1,y1) = (0,–2)

(x2,y2) = (5,1)

        y2 – y1                   1 – (–2)                1 + 2               3

m = ________   =     ________    =     ________  =    ____

       x2 – x1                      5 — 0            

Step-by-step explanation:

The maximum number of data points that may not actually be on the line is 16. so, the correct option is D.

We know that a line of best fit is basically a straight line drawn for a given data that may or may not pass through data points.

It is given that the line is drawn for 16 data points.

Hence, the line may or may not pass through all these 16 points.

Therefore, the maximum number of data points that may not actually be on the line is 16.

so, the correct option is D.

Learn more about line here;

https://brainly.com/question/10165160

#SPJ1

The height of the hexagonal-based pyramid is approximately 101.61 inches.

To find the height of the hexagonal-based pyramid, we can use the formula for the volume of a pyramid:

Volume = (1/3) × Base Area × Height

In this case, the base of the pyramid is a regular hexagon, and we have the side length (s) and apothem (a) given.

The base area of a regular hexagon can be calculated using the formula:

Base Area = (3√3/2) × s²

Let's calculate the base area first:

Base Area = (3√3/2) × (6 in)²

Base Area = (3√3/2) × 36 in²

Base Area ≈ 93.53 in²

Now, we can rearrange the volume formula to solve for the height:

Height = Volume / ((1/3) × Base Area)

Height = 3168 in³ / ((1/3) × 93.53 in²)

Height = 3168 in³ / (31.177 in²)

Height ≈ 101.61 in

Therefore, the height of the hexagonal-based pyramid is approximately 101.61 inches.

for such more question on height

https://brainly.com/question/27987869

#SPJ8

Answer:

Two possible sets of answers.

5 men, 11 women and 42 children, or

10 men, 2 women and 88 children

Selamat Sadhya!

Step-by-step explanation:

M = number of men

W = number of women

100-M-W = number of children

Total number of pappadas

5M+3W+(100-M-W)/2 = 100

Solve for W

W = (100-9M)/5 .......................(1)

Examine equation (1).

In order to have W as a whole number, M must be multiple of 5

Therefore M = 5 or 10

If M = 5, W = (100-45)/5 = 11 and children = 100-5-11 =  84

If M = 10, W = (100-90)/5 = 2 and children = 100-10-2 = 88

The 11th term of the geometric sequence 1, 4, 16,... is 4¹⁰.

A sequence is a grouping of objects in a particular order that permits repetitions. It has members, just like a set does. The length of the sequence is determined by the number of items.

Consider the geometric sequences 1, 4, 16......

For a geometric sequence a, ar, ar²,.....

Where a is the first term, and r is the common ratio of the sequence.

Then for the sequence 1, 4, 16,...

a = 1 and r = 4

The nth term of a geometric sequence is given as:

aₙ = ar⁽ ⁿ ⁻ ¹⁾

Therefore, the 11th term of the sequence will be:

a₁₁ = 1 × r¹¹ ⁻ ¹

a₁₁ = (4)¹⁰

a₁₁ = 4¹⁰

Hence, the 11th term of the sequence is 4¹⁰.

Learn more about geometric sequence here:

https://brainly.com/question/28041360

#SPJ9

Answer:

a. high-low method.

b. scatter diagrams.

d. least-squares regression.

Step-by-step explanation:

Costing is a measurement of the cost of production of goods and services by assessing the fixed costs and variable costs associated with each step of production.

Fixed cost can be defined as predetermined expenses in a business that remain constant for a specific period of time regardless of the quantity of production or level of outputs. Some examples of fixed costs in business are loan payments, employee salary, depreciation, rent, insurance, lease, utilities etc.

On the other hand, variable costs can be defined as expenses that are not constant and as such usually change directly and are proportional to various changes in business activities. Some examples of variable costs are taxes, direct labor, sales commissions, raw materials, operational expenses etc.

In Financial accounting, the three methods used to classify costs into their fixed and variable components includes high-low method, scatter diagrams and least-squares regression.

The high-low method is a quick and easy way to estimate costs by using historical accounting information from a range of reporting periods.

A scatter diagram (scattergraph) estimate costs by considering all the data points and not just the lowest or highest point.

A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.

Generally, the sum of the residuals of a least squares regression line is always equal to zero.

Answer:

a. high-low method.

b. scatter diagrams.

d. least-squares regression.

Step-by-step explanation:

The three methods used to classify costs into their fixed and variable components includes:

Divide total feet by total inches

90 feet / 2 1/2 inches = 36 feet per inch

1 inch = 36 feet

Answer:

the solution to the system of equations is (x, y) = (3, -2).

Step-by-step explanation:

y = -2x + 4 (Equation 1)

y = x - 5 (Equation 2)

To solve for x, we can equate the right sides of the equations:

-2x + 4 = x - 5

Now, we can solve for x:

-2x - x = -5 - 4

-3x = -9

x = (-9) / (-3)

x = 3

Substituting the value of x back into Equation 2, we can solve for y:

y = 3 - 5

y = -2

The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

We can deduce that :

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

Learn more on puzzle: https://brainly.com/question/27645967

#SPJ1

Answer:

45

Step-by-step explanation:

5+4 * 10, plug in 10 for x

Answer:

Oki! Mizuki here to help with this problem!

45 should be the correct answer!

Step-by-step explanation:

5 + 4x

let's replace x with 10!

5 + 4 x 10 =

5 + 40 =

45

Answer: 31.5

Step-by-step explanation:

Answer:

31.5

Step-by-step explanation:

\(45 \times .7 = 31.5\)

Answer:

asymptotically stable.

Step-by-step explanation:

Equilibrium solutions in which solutions that starts near and then moves away from equilibrium solutions are asymptotically unstable. Equilibrium solutions which solutions starts nears and then move towards the equilibrium are asymptotically stable.

a answer is

3,600

b answer is

I don't know

Answer:

60-18=42

42 x 60= £2520

2000/100 = 20

20+18 =38

It's either 37, 38 or 39 years.

Hope this helps!

Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

Answer:

1) Not congruent

2) AAS

3) Not congruent

4) SAS

5) SSS

6) ASA

Step-by-step explanation:

In SSS, ASA, AAS, and SAS, S stands for side and A stands for angle.  If the sides and angles are congruent in any of those patterns, the triangles are congruent.

Hope it helps <3

Answer:

1. Not congruent

2. AAS, Congruent

3. Not congruent

4. SAS, congruent

5. SSS, congruent

6. ASA, Congruent

Step-by-step explanation:

1. Not congruent

It only shows that there are 3 similar angles. There were no sides described.

2. AAS, Congruent

They are congruent, just rotated in an angle (see proof 2)

3. Not congruent

It only shows 2 sides next to each other and an angle next to one side.

4. SAS, congruent

It shows 2 sides that are congruent and congruent angles between them (see proof 4)

5. SSS, congruent

All 3 sides are congruent (see proof 5,6)

6. ASA, Congruent

2 angles and an adjacent side are congruent(see proof 5,6)

Answer:

no

Step-by-step explanation:

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Answer:

b. -2/3

Step-by-step explanation:

in addition a negative plus a negative does not equal a positive so we can already assume the answer is b but to be safe we can work this problem out in this way: 1/9 + 5/9 = 6/9 we simplify 6/9 and we get 2/3 so we slap the negative back on and boom -2/3