HELP ME PLEASE
chole earns a 3.25% in her annual salary. she correctly writes the expression s+0.0325s to represent her new annual salary. where s represents her current annual salary

Note that from the line plots given above, Bus 18 is the most consistent in terms of travel times. This is resolved using the knowledge of Interquartile range.(IQR)

To determine which bus is the most consistent, we need to compare the measures of variability of the data. The measures of variability that we can use here are range and interquartile range (IQR).

The range is the difference between the highest and lowest values in the data set, while the IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The IQR is a better measure of variability than the range because it is less affected by extreme values.

Using the given data, we can calculate the range and IQR for each bus:

Bus 47:

Range = 28 - 4 = 24

Q1 = 10, Q3 = 22

IQR = 22 - 10 = 12

Bus 18:

Range = 22 - 6 = 16

Q1 = 9, Q3 = 25

IQR = 25 - 9 = 16

From these calculations, we can see that Bus 18 has a smaller range and a larger IQR than Bus 47. The IQR is a better measure of variability in this case, and it shows that Bus 18 has less variability in its travel times than Bus 47. Therefore, we can conclude that Bus 18 is the most consistent in terms of travel times.

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The required length of the base of the triangular pane of glass is 22 inches.

We know that the formula for the area of a triangle is:

Area = 1/2 * base * height

We are given that the height of the triangular pane of glass is 32 inches and the area is 352 square inches. Substituting these values into the formula, we get:

352 = 1/2 * base * 32

Multiplying both sides by 2 and dividing by 32, we get:

base = 22

Therefore, the length of the base of the triangular pane of glass is 22 inches.

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Answer:

{2, 3, 4, 5}.

Step-by-step explanation:

to find the range of the function y=1/2x+3 when the domain is (-2,0,2,4), we need to find the corresponding range values for each of the domain values.

When x = -2, y = 1/2(-2) + 3 = 2

When x = 0, y = 1/2(0) + 3 = 3

When x = 2, y = 1/2(2) + 3 = 4

When x = 4, y = 1/2(4) + 3 = 5

Therefore, the range of the function is {2, 3, 4, 5}.

Answer:

8,957,172 people

Explanation:

Population = 1,218 people per square mile

Land area of New Jersey = 7,354 square miles

Total population:

people living in per square mile × total land area

1,218 × 7,354

8,957,172

We want to see which of the given polar coordinates are equivalent to the given ones.

The two equivalent pairs are:

(2, -60°) → (2, 300°)

(-2, 240°) → (-2, -120°)

Polar coordinates have a given period, such that:

A polar coordinate (R, θ) is equivalent to (R, θ + n*360°) where n is an integer number.

So if we have the polar coordinate:

(2, -60°), an equivalent polar coordinate can be (2, -60° + n*360°)

if we get n = 1 then we have:

(2, -60° + 360°) = (2, 300°)

So the equivalent polar coordinate is (2, 300°).

For the other polar coordinate we have (-2, 240°) is equivalent to something like (-2, 240° + n*360°)

For example, with n = -1 we have:

(-2, 240° - 360°) = (-2, -120°)

Then the two equivalent pairs are:

(2, -60°) → (2, 300°)

(-2, 240°) → (-2, -120°)

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Answer:

The percentage of 18 people out of 50 is 36 %

Step-by-step explanation:

The percentage refers to the per hundred or hundredths and is ended with the symbol %.  By dividing two amounts, ratios and percentages are both used to compare the two amounts.

so,

Therefore the percentage of 18 people out of 50 people is 36 %.

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Answer:

(a) Brandon bought 5 gallons of paint for $90.

Step-by-step explanation:

Given

Parvati:

\(8\ gallon \to \$144\)

Required

Person with the same paint

First, calculate the unit cost of Parvati's paint

\(Unit = \frac{\$144}{8\ gallon}\)

\(Unit = \$18/gallon\)

To get the person with the same kind of paint, we simply calculate the unit price.

Whoever has the same unit price as \(Unit = \$18/gallon\) have the same kind of paint

Brandon

\(Amount = \$90\)

\(Size= 5\ gallons\)

So:

\(Unit = \frac{Amount}{Size}\)

\(Unit = \frac{\$90}{5\ gallons}\)

\(Unit = \$18/gallons\)

Brandon has the same paint as Parvati because the unit prices are the same.

Answer:

A

Step-by-step explanation:

Answer:

14739

Step-by-step explanation:

1/2mv^2

1/2*105*17*17

=14739

Answer:

$568.75.

Step-by-step explanation:

Mr. Reed DATA:

rate = 40 mph ; time = x 4.5 hrs ; distance = 40x miles

-----

Mrs. Reed DATA:

rate = 60 mph ; time = x hrs ; distance = 60x - 210 miles

------

Equation:

40x = 60x -210

-20x = -210

x = 10.5 hrs

x-3.5 = 7 hrs (Mr. Reed's time)

Answer:

1152 cm^2

Step-by-step explanation:

length (l)=18 cm

breadth (b)=7 cm

height (h)= 18 cm

To find the surface area of a cuboid, you need to add up the area of all six faces. Let's say the length, width, and height of the cuboid are l, b and h, respectively. Then the surface area of the cuboid can be calculated as:

Surface Area = 2lb + 2bh + 2lh

now substituting value

Surface Area of the cuboid= 2*18*7+2*7*18+2*18*18=1152 cm^2

Answer:

The surface area of the given cuboid is 1,152 cm².

Step-by-step explanation:

The formula for the surface area of a cuboid is:

\(\boxed{\sf SA = 2(LW + LH + HW)}\)

where:

From inspection of the given diagram:

Substitute these values into the formula and solve:

\(\begin{aligned}\implies \sf SA&=2(18 \cdot 7 + 18 \cdot 18 + 18 \cdot 7)\\&=2(126 +324 + 126)\\&=2(576)\\&=1152\;\sf cm^2\end{aligned}\)

Therefore, the surface area of the given cuboid is 1,152 cm².

Any number with the 6 on the fourth place value, for example:

Each place value (which are counted from the right side) adds a factor of 10 to the previous place value.

This means that the 1 in 10, is 10 times the 1 in 1.

The 1 in 100, is 10 times the 1 in 10.

Then if we want to find a number where the 6 is 10 times greater than the value of the 6 in 237,629, we only need to move the 6 one time to the left.

We will have:

236,329

(any number with the 6 on the fourth place value).

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The coefficient of variation for A is 20.37% and for B is 15.98%.

What is coefficient of variation?

In statistics, the relative standard deviation (RSD), commonly referred to as the coefficient of variation formula (CV), is a standardized way to assess how widely spaced out a probability distribution or frequency distribution is. Lower values of the coefficient of variation indicate that the data is highly stable and less variable.

We know that formula for coefficient of variation is

CV = Standard Deviation / Mean

A. $31,100, $25,800, $36,300, $30,200, $30,000, $19,800, $22,300, $22,600, $34,900, $21,700, $36,900, $30,800, $31,700, $37,100

Mean = 411200 / 14

Mean = $29371.42

Similarly,

Standard Deviation = $5984.52

So,

CV = 5984.52 / 29371.42 * 100

CV = 20.37%

B. 3.18, 4.24, 4.27, 4.38, 3.87, 4.75, 3.43, 3.35, 4.16, 4.81, 2.98

Mean = 43.42 / 11

Mean = $3.94

Similarly,

Standard Deviation = $0.63

So,

CV = 0.63 / 3.94 * 100

CV = 15.98%

Hence, the coefficient of variation for A is 20.37% and for B is 15.98%.

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Answer:

3.) b) The straight line that divides the parabola into half.

4.) b) 1/11^4

Explanation:

3. The axis of the symmetry is the straight line that divides the parabola into half.

Note down: the image below which shows a parabola (red line) and axis of symmetry (blue line).

4. Formula's: \(a^{-1} = \dfrac{1}{a}\) , same with \(a^{-4 } = \dfrac{1}{a^4}\)

So here: \(11^{-4}\) is equivalent to \(\dfrac{1}{11^4}\) which later equals to \(\dfrac{1}{14641}\)

The y-intercept (b) for line B = -1 the  equation for line B would be:\($y=3 x-1$\)

Ax+By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x+3y=5. Finding both intercepts of an equation in this format is rather simple (x and y). A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Let's call the lines in the given graph line A and line B. according to the attached document.

Y = mx + b is the equation of a line.

\($m=\frac{y 2-y 1}{x 2-x 1}$\)

b is the y-intercept. It is the location where the line either intersects or crosses the y-axis. x = 0 at this point.

Now that we are aware of this, let's determine which of the lines contains the equation y = 12x + 4.

According to the provided equation, the line's m = 12 and y-intercept (b), where the line intercepts the y-axis = 4, are both equal.

Line A intercepts the y-axis at 4 if you look at line A and line B, which we've labeled in the file below. This indicates that line A's b value is 4.

The slope (m) of line A would be 12 if the locations labeled in the attachment below were used to calculate the slope (m).

\($\Rightarrow$\)Find the slope \($(\mathrm{m})$\)of line B using any 2 coordinate pairs of line B.

We're using the 2 coordinates points, \($(0,-1),(-1,-4)$\) as indicated in the attachment below.

\(& m=\frac{y 2-y 1}{x 2-x 1} \\\)

\(& m=\frac{-4-(-1)}{-1-0} \\\)

\(& m=\frac{-4+1)}{-1} \\\)

\(& m=\frac{-3)}{-1} \\\)

\(& m=3\)

Line B intercepts the y-axis at -1. Therefore, the y-intercept (b) for line B=-1

The equation for line B  would be:

\($$y=3 x-1$$\)

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Answer:

6x^2 - 32x + 10

Step-by-step explanation:

I used the FOIL method of factoring. Hope this helps!

Answer:

Z

Step-by-step explanation:

Answer:

1)64

2)75

Step-by-step explanation:

Let the number be x

1)According to the question

50%×x=32

½×x=32

x=32×2

x=64

Let the number be y

2) according to the question

10%×y=7.5

⅒×y=7.5

y=7.5×10

y=75

Answer:

answer is 36/104

Step-by-step explanation:

Answer: 36/104

There are 104 students that play sports and only 36 out of 104 students has the favorite color blue, green, or purple.

Answer:

\(A' = -51\)

Step-by-step explanation:

Given

\(A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right]\)

Required

Determine the determinant of A (A')

If

\(A = \left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right]\)

Then,

\(A' = a(e*i - f * h) - b(d * i - g * f) + c(d * h - e * g)\)

So:

The determinant of \(A = \left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right]\) is

\(A' = -2(-1 * -5 -(-2)*3) -2(4 * -5 -(-2) * 1) -5(4 * 3- (-1) * 1)\)

\(A' = -2(5 +6) -2(-20 +2) -5(12 + 1)\)

\(A' = -2(11) -2(-18) -5(13)\)

\(A' = -22 +36 -65\)

\(A' = -51\)

Hence, the determinant is -51

Answer:

-48

Step-by-step explanation:

we can see each number is getting doubled but flipped from negative and positive and vise versa. aka getting multiple by negative 2

we can also double check our work by multiplying each number in the sequence we have by -2 and make sure it follows the sequence.

Answer:

6 cubic feet

Step-by-step explanation:

Since each cube represents 1 cubic foot

volume of the prism = number of cubes * volume of 1 cube

Given

number of cubes = 6

volume of 1 cube = 1cubic foot

Substitute

volume of the prism = 6 * 1

volume of the prism = 6 cubic feet

Answer:

there is no picture but i can try to help you

Step-by-step explanation:

Answer:

REALLY TY *BOWS*

Step-by-step explanation:

Measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.

What is measurement?

An object or event's attributes are quantified through measurement so that they can be compared to those of other things or events. Measurement, then, is the process of establishing how big or small a physical quantity is in relation to a fundamental reference quantity of the same kind.

Given:

Elena has a pet parakeet that weighs 6 when measured in one unit and

170 when measured in a different unit.

We have to find the correct units from grams and ounces for these.

We know that, 1 ounce is greater than 1 gram.

1 ounce = 28.3495 grams

Multiply both sides by 6.

6 ounces = 170.097 grams

Approximate the values to the nearest whole number.

6 ounces = 170 grams

Therefore, 6 ounces = 170 grams.

Hence, measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.

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The solution to the linear system is c = -6 and d = 3.

To solve the linear system using the elimination strategy, we can eliminate one variable by adding or subtracting the equations. Let's solve the first linear system:

(1) 12c + 28d = 12

(2) -20c + 16d = 168

To eliminate one variable, we can multiply equation (1) by 5 and equation (2) by 3, which will result in opposite coefficients for 'c'. This will allow us to eliminate 'c' when adding the equations together:

(1) 60c + 140d = 60

(2) -60c + 48d = 504

Now, we can add the equations:

(60c + 140d) + (-60c + 48d) = 60 + 504

188d = 564

d = 564/188

d = 3

Substituting the value of 'd' back into equation (1):

12c + 28(3) = 12

12c + 84 = 12

12c = 12 - 84

12c = -72

c = -72/12

c = -6

The solution to the linear system is c = -6 and d = 3.

Now let's analyze the second linear system:

(1) 7x - 3y = 43

(2) 7x - 3y = 13

By comparing the two equations, we can see that they have the same coefficients for both 'x' and 'y', and the constant terms on the right side are different. This means the lines represented by the equations are parallel and will never intersect.

The linear system has no solution.

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Given the function:

to find f(3), we have to make x = 3 and substitute on the function, to get the following:

therefore, f(3)=23

540 yards should be purchased to enclose the deck and option B is correct.

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides.

A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

Pools dimension = 1:3

Length = 60 × 3

= 180

Breadth= 30 × 4

= 90

Perimeter of rectangle = 2(l+b) = 2(90+180)

P = 2(270) = 540 yards

Thus, 540 yards should be purchased to enclose the deck and option B is correct

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