HELP ME ITS DUE TODAY!!!!! The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.



1 7, 9
2 1, 5, 9
3 0, 1, 2
4 6, 9
Key: 2|1 means 21


What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 32.
The range is the best measure of variability, and it equals 11.
The IQR is the best measure of variability, and it equals 11.
The range is the best measure of variability, and it equals 32.

Answer:  The slope-intercept form for this line is y=4x-10

Step-by-step explanation:  To begin with the solution of this problem firstly, write down the equation of the line passing through the point (4, 6) with a slope of 4 in slope-intercept form (y = mx + b),  now take a look at the following point-slope form of a line:

y - y1 = m(x - x1)

where (x1, y1) is the point (4, 6) and m is the slope of the line, which is 4.  now substitute these values in the above equation, we get:

y - 6 = 4(x - 4)

Expanding the right-hand side, we get:

y - 6 = 4x - 16

Adding 6 to both sides, we get:

y = 4x - 10

Therefore, the equation of the line in slope-intercept form is:

y=4x-10

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Factorization of the given algebraic expression gives us: (p - 3x)(q - 4y)

To factorize an algebraic expression, it means that the highest common factors of the terms of the given algebraic expression are determined and then we group the terms accordingly. In simple terms, the reverse process of expansion of an algebraic expression is its factorization.

The algebraic expression is given as:

pq + 12xy - 3qx - 4py​

Rearranging this gives us"

pq - 4py - 3qx + 12xy

Grouping gives us:

(pq - 4py) - (3qx - 12xy)

p(q - 4y) - 3x(q - 4y)

This gives us:

(p - 3x)(q - 4y)

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The mean for the number of people with the genetic mutation in such groups of 600 is 18.

Given that,

About 3% of the population has a particular genetic mutation.

This means that for any group of people, 3% of the people has a particular genetic mutation.

This is a binomial distribution.

Probability that people having genetic mutation = 3% = 0.03

Random sample size = 600

Mean for a binomial distribution can be calculated as,

Mean = n × p

         = 600 × 0.03

         = 18

Hence the mean number of people having genetic mutation is 18.

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Answer:

[tex]\Large \boxed{\boxed{\textsf{$x=\frac{47}{7}, y=15$}}}[/tex]

Step-by-step explanation:

The shape inside the circle is a quadrilateral. The following property of circle geometry can be used to solve the problem:

[tex]\large \boxed{\text{"The opposite angles of a cyclic quadrilateral are supplementary"}}[/tex]

Consider any quadrilateral, where the vertices touch on the circumference of a circle: ABCD, with origin O, as s

Required to prove: ∠ABC + ∠ADC = 180°

Let ∠AOC = 2x as shown in attached image.

∴ 2∠ABC = ∠AOC (using another property that "the perpendicular bisector of a chord passes through the circle's centre")

⇒ ∠ABC = x.

Now let ∠AOC = 2y.

Similarly, ∠ADC = y

⇒ ∠ABC + ∠ADC = x + y.

∵ It is clear that 2x + 2y = 360°,

⇒ x + y = 180°

∴∠ABC + ∠ADC = 180°, and hence statement is true.

Now, solving for x:

7x + 1 + 105° = 180

7x + 106 = 180

7x = 74

∴x = 74/7

Solving for y:

4y + 14 + 7y + 1 = 180

11y + 15 = 180

11y = 165

∴y = 15

Statement there are 2.5 customers who bought spearmint as customer than peppermint is not supported by the display of the graph. So, the correct answer is D).

According to the bar graph, there are 50 customers who bought spearmint and 20 customers who bought peppermint.

Therefore, the difference between the number of customers who bought spearmint and those who bought peppermint is

50 - 20 = 30

This means that there are 30 more customers who bought spearmint than peppermint, not 2.5. So, the correct option is D).

Statements a, b, and c are supported by the display of the graph.

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--The given question is incomplete, the complete question is given

"  The bar graph shows the flavors of gum bought yesterday by the customers at a store. Each customer bought only 1 flavor of gum.

Which statemnt is not supported by display of graph"--

a The same number of customer bought papermint and cinmaon.

b Thera ARE 120customer who bought gum

c The most favoured flavor is papermint

d there are 2.5 customers who bought spearmint as customer than peppermint

Answer:

see below

Step-by-step explanation:

the quotient is 1 and the remainder is 565.

The reasonable domain to plot the growth function is {x : 0 ≤ x ≤10}.

y intercept of the graph of the function represents the initial height of the plant.

Average rate of change of the function f(n) from n = 3 to n = 10 is 0.43.

Given a growth function,

f(n) = 12 (1.03)ⁿ

Part A :

When the scientist concluded his study, the height of the plant was approximately 16.13 cm.

12 (1.03)ⁿ = 16.13

(1.03)ⁿ = 1.344

Taking logarithms on both sides,

n log (1.03) = log (1.344)

n = log (1.344) / log (1.03)

n = 10.006 ≈ 10 days

Domain = {x : 0 ≤ x ≤10}

Part B :

The y intercept of the graph of the function is the height of the plant in 0 days, that is the initial height of the plant.

Part C:

Average rate of change of the function f(n) from n = 3 to n = 10 is,

f(10) - f(3) / 10 - 3

f(10) = 12(1.03)¹⁰ = 16.127

f(3) = 12(1.03)³ = 13.113

Average rate of change = (16.127 - 13.113) / 7 = 0.43

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Answer:

Step-by-step explanation:

The given expression is 4-3x-2.

To find the coefficient, we need to identify the numerical factor that is multiplied by the variable x. In this case, the numerical factor that is multiplied by x is -3.

Therefore, the coefficient of 4-3x-2 is -3.

Answer:

C) 12/9 = 4/3

Step-by-step explanation:

it is a right-angled triangle.

Pythagoras applies.

cos(theta) = 9/15

that is the horizontal leg in relation to the baseline (Hypotenuse).

since we are only dealing with ratios here, to get the vertical leg and its relation to the Hypotenuse, we can simply use the numbers of the ratio.

15² = vleg² + 9²

225 = vleg² + 81

vleg² = 144

vleg = 12

therefore,

sin(theta) = 12/15

tan(theta) = sin(theta)/cos(theta) = 12/15 / 9/15 = 12/9 = 4/3

FYI : to prove to you how irrelevant the absolute lengths in ratios are, here a variation with simplified fractions or ratios :

cos(theta) = 9/15 = 3/5

5² = vleg² + 3²

25 = vleg² + 9

vleg² = 16

vleg = 4

therefore,

sin(theta) = 4/5

tan(theta) = sin(theta)/cos(theta) = 4/5 / 3/5 = 4/3

as you see, all as above.

for these kind of calculations we only need ratios (or relative sizes)

The additive inverse of the polynomial is A' = - ( 1.3t³ - 0.2t² - 6t - 8 )

Given data ,

Let the polynomial be represented as A

Now , the value of A is

A = ( 1.3t³ + 0.4t² - 24t ) - ( 0.6t² + 8 - 18t )

On simplifying the equation , we get

A = 1.3t³ + 0.4t² - 24t - 0.6t² - 8 + 18t

A = 1.3t³ - 0.2t² - 6t - 8

Now , the additive inverse of the polynomial is

A' = - ( 1.3t³ - 0.2t² - 6t - 8 )

Hence , the polynomial is solved

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For the population to double, it takes around 7.07 hours.

The continuous exponential growth model is given by:

[tex]N(t) = N0 * e^{rt}[/tex]

Where:

N(t) is the population size at time t

N is the initial population size (at t = 0)

r is the growth rate parameter

t is the time elapsed

We want to find the time t it takes for the population size to double, which means N(t) = 2N. Substituting into the growth model, we get:

[tex]2N = N * e^{rt}[/tex]

Dividing both sides by N, we get:

[tex]2 = e^{rt}[/tex]

Taking the natural logarithm of both sides, we get:

ln(2) = rt

Solving for t, we get:

t = ln(2)/r

Substituting r = 0.098 (9.8% as a decimal), we get:

t = ln(2)/0.098

t ≈ 7.07 hours

Therefore, it takes approximately 7.07 hours for the population size to double.

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Answer:

D

Step-by-step explanation:

The statement that is true about histograms is that data is organized in equal intervals. Histograms are graphical representations of data that use bars to show the frequency of values in a continuous range. The bars are of variable heights depending on the frequency of data within each interval, but the width of each bar represents the same interval size. This allows for easy comparison between different intervals and helps to visualize the distribution of data. It is important to note that the bars in a histogram do touch, as they represent continuous data ranges.

Answer:

d

Step-by-step explanation:

got it right on homework

Answer:

90° counterclockwise

Step-by-step explanation:

Find the center of rotation. This is the point that is equidistant from each vertex and its image. You can do this by drawing the perpendicular bisectors of the segments that connect each vertex and its image, and finding their intersection point. In this case, the center of rotation is the origin (0,0).

Choose a vertex and its image to measure the angle of rotation. For example, you can use A and A’. Draw a line segment from the center of rotation to each point, forming an angle.

Use a protractor or estimate the angle of rotation by comparing it to benchmark angles. In this case, the angle of rotation is about 90 degrees.

Determine the direction of rotation by observing which way the figure moved around the center of rotation. In this case, the direction of rotation is counterclockwise (positive).

Answer:

Step-by-step explanation:

-119

The number of minutes of local landline calls is 132 min.

We are given that;

Time= 36min

Bill= 13119

Now,

To find the number of minutes of local landline calls, we need to rearrange the tariff structure formula to solve for n in terms of Total and m. We also need to substitute the given values of Total and m.

Total = nx 12c/min +mX R1,10/min + R75,75

n = (Total - m x R1,10/min - R75,75) / (12c/min)

Total = R131.19

m = number of minutes of calls to cellphones = 36 min

n = (131.19 - 36 x 1.10 - 75.75) / 0.12

= (131.19 - 39.60 - 75.75) / 0.12

= (15.84) / 0.12

= 132 min

Therefore, by algebra the answer will be 132 min.

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The Mayan notation is shown below.

1. 234

The highest power of 20 that will divide into 3575 is 20² = 400

So, 234/ 400 = 0.585

0.585 x 20=11.7

0.7 x 20= 14

So, 234₁₀= 11,14₂₀

Now, the Mayan notation will be

14 in the ones position three bars at the bottom of the number.

11 the 20s place, so that’s three bars and three dots in the second position.

2. 10503

The highest power of 20 that will divide into 3575 is 20² = 400

So, 10503/ 400 = 26.2575

0.2575 x 20= 5.15

05.15 x 20= 3

So, 234₁₀= 26, 5,3₂₀

Now, the Mayan notation will be

3 in the ones position three dots at the bottom of the number.

5 the 20s place, so that’s one bars and three dots in the second position.

and, 26 shows by 2 vertical dots and bar.

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The side length ZW is 6 units and the side length WX is 10.392 units. Then the area of the rectangle is 62.352 square units.

Given that:

Diagonal, d = 12

Angle, α = 30°

The rectangle's area will be given as,

Area of the rectangle = L × W square units

The measure of the side length ZW is calculated as,

sin 30° = ZW / 12

ZW = 6 units

The measure of the side length WX is calculated as,

cos 30° = WX / 12

ZW = 10.392 units

The area of the rectangle is calculated as,

A = 6 x 10.392

A = 62.352 square units

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According to the given equation, the value of the number is 8/9.

Let's break down the statement: "The difference of seven times a number and 6 is the quotient of the number and 4." We can translate this into a mathematical equation by first defining the number as "n":

7n - 6 = n/4

In this equation, 7n represents seven times the number, and n/4 represents the quotient of the number and 4. The difference between the two is given by subtracting 6 from 7n.

Now, we can solve for the value of n by manipulating the equation to isolate n on one side. To do this, we can start by multiplying both sides of the equation by 4 to eliminate the fraction:

28n - 24 = n

Next, we can simplify the equation by bringing all the n terms to one side:

28n - n = 24

Combining like terms, we get:

27n = 24

Finally, we can solve for n by dividing both sides by 27:

n = 24/27

Simplifying the fraction, we get:

n = 8/9

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Step-by-step explanation:

BecauseThe expression |-26| refers to the absolute value of -26. Absolute value is a measure of distance from zero on a number line and is always positive. Therefore, |-26| is equal to 26 (option b). Similarly, |-1| is equal to 1 (option c) as it is the distance of 1 from zero on the number line. Absolute value is denoted by vertical bars surrounding the number, and it is a common concept in mathematics and various scientific applications.

The angle measure of the minor arc is 62°

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

The diameter is the length of the line that passes through the center circle touching two points on the circle's circumference.

The arc of a circle is the part or segment of the circumference of a circle.m∠EFG = minor arc EGminor arc EG = 62°

The measure of the arc is 62°

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Finn would run 18 miles after 6 track practices.

We have,

Generally, A unit rate is a ratio of two measurements with a denominator of 1. To find the number of miles Finn would run after 6 track practices, we can use the unit rate of miles per practice to multiply by the number of practices.

Unit rate: 6 miles / 2 practices = 3 miles per practice

To find the total number of miles Finn would run after 6 practices, we can multiply the unit rate of 3 miles per practice by the number of practices, 6.

Total miles: 3 miles/practice * 6 practices = 18 miles

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If the 2 boxes are stacked on top of other, then the total volume of both boxes will be (b) 224m³.

To find the total volume when two boxes are stacked on top of each other, we need to add the volume of both boxes. The formula for the volume of a rectangular box is : Volume = Length x Width x Height,

Using the dimensions, that Length = 8m, Width = 7m and height = 2m,

The volume of the first-box is:

⇒ Volume1 = 8m × 7m × 2m = 112 cubic meters,

The volume of the second-box will be the same, because it has the same dimensions;

So, Volume2 = 8m × 7m × 2m = 112 cubic meters,

To find the total volume when the boxes are stacked, we add the volumes:

⇒ Total Volume = Volume1 + Volume2,

⇒ Total Volume = 112 cubic meters + 112 cubic meters,

⇒ Total Volume = 224 cubic meters,

Therefore, the total-volume when the two boxes are stacked on top of each other is 224 cubic meters, correct option is (b).

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The simplified value for the vectors  u = (-6, 4) and w= (-4, -6) in the expression v = u + 4w is equal to v = (-22, -20).

Vectors are ,

u = (-6, 4)

and w= (-4, -6).

To find the vector v = u + 4w,

we need to multiply the vector w by 4 and add it to the vector u component-wise,

v = u + 4w

Substitute the value of the vectors we have,

= (-6, 4) + 4(-4, -6)

Now, add component wise vector  we get,

= (-6, 4) + (-16, -24)

= (-6 - 16, 4 - 24)

= (-22, -20)

Therefore, the value of the vectors v = u + 4w is equals to v = (-22, -20).

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The ordered pair that would best represent the location of point E' is (8z, 4z).

A graph of the vertices of the dilated image is shown in the image below.

The rule that best represent the dilation of quadrilateral WXYZ to quadrilateral W'X'Y'Z'.

In Mathematics and Geometry, a dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape.

Next, we would have to dilate the coordinates of the pre-image by using a scale factor of 5/2 centered at the origin as follows:

Ordered pair W (-2, 1) → Ordered pair W' (-2 × 5/2, 1 × 5/2) = W' (-5, 5/2).

Ordered pair X (2, 2) → Ordered pair X' (2 × 5/2, 2 × 5/2) = X' (10, 10).

Ordered pair Y (1, -1) → Ordered pair Y' (1 × 5/2, -1 × 5/2) = Y' (5/2, -5/2).

Ordered pair Z (-2, -2) → Ordered pair Z' (-2 × 5/2, -2 × 5/2) = Z' (-5, -5).

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The correct definitions are matched.

A) Perpendicular line = a line that intersects another line at a right angle.

B) Circle = the set of all points in a plane that are equidistant from a given point.

C) Line segment = a part of a line that begins at one point and ends at another point.

D) Angle = the amount of turn between two straight lines that share a common point.

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[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2 \end{cases}\implies V=\cfrac{4\pi 2^3}{3} \\\\\\ V=\cfrac{4(3.14) 2^3}{3}\implies V=33.49~yd^2[/tex]

Answer:

33.49 yds^3

Step-by-step explanation:

the volume formula for a sphere is 4/3 pi r^3

so just fill in r with 2 and the pi with 3.14 and it becomes 4/3 times 3.14 times 2^3 which would equal 33.49 yds ^3 (im pretty sure at least)

The total remaining length of road that needs to be paved after the four days is: b). 1 5/6.

In order to determine total remaining length of road that needs to be paved after the four days, we would evaluate and simplify the fraction for the expressions as follows;

Length of road paved in four days = 35/6  + 39/6  + 52/6  + 25/6

Length of road paved in four days = (35 + 39 + 52 + 25)/6

Length of road paved in four days =  151/6

Total length of road = 27 miles  = 162/6  miles

Therefore, the total remaining length of road that should be paved after the four days can be calculated as follows;

total remaining length = 162/6  - 151/6

total remaining length = 11/6

total remaining length = 1 5/6 miles.

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Complete Question:

A work crew spent four days paving a stretch of road. The table below shows the length of road paved each day.

ROAD PAVING Day     Length (miles)

Monday=35/6

Tuesday=39/6

Wednesday=52/6

Thursday=25/6

The entire length of the road will be 27 miles. What is the total remaining length of road that needs to be paved after the four days?

a).1 3/6

b).1 5/6

c).2 3/6

d).2 5/6​

Answer:

-9/20 is greater than -0.5

Step-by-step explanation:

-9/20 also just means -9 divided by 20

-9 divided by 20 is -0.45

in negative numbers, the closer the number is to 1, the greater value it is. So, since -9/20 = -0.45, and -0.45 is closer to 1 than -0.5 is, -9/20 is greater than -0.5.

The inequality representing your total sales is:

15x + 20y >= 150

Let x be the number of small bowls and y be the number of large bowls.

The inequality representing your total sales is:

15x + 20y >= 150

Two possible solutions are:

x = 10, y = 0: Selling 10 small bowls ($150) and no large bowls meets the sales requirement.

x = 3, y = 6: Selling 3 small bowls ($45) and 6 large bowls ($120) results in $165 in sales, which exceeds the minimum sales target.

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