a data analyst creates a scatterplot with a lot of data points. the analyst wants to make some points on the plot more transparent than others. what aesthetic should the analyst use?

The point slope form of the equation is  y - 1 = [tex]\frac{1}{5}[/tex] ( x-5)

What is equation of line ?

  A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system. The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

Here the given point ,

=> [tex](x_1,y_1)=(5,1)[/tex]

Slope m = [tex]\frac{1}{5}[/tex]

Here using equation formula

=> [tex]y-y_1 = m ( x- x_1)[/tex]

=> y - 1 = [tex]\frac{1}{5}[/tex] ( x-5)

Hence the point slope form of the equation is  y - 1 = [tex]\frac{1}{5}[/tex] ( x-5)

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64 is the standard deviation and the width of the confidence interval are both doubled .

What is standard deviation in math?

Margin of error(E)=0.5

Standard deviation(σ)=1.55

Significance level(α)=100%-99%=1% or 0.01

From Z distribution Critical value table

the Critical value(Zc)=2.58 at significance level=0.01

we know formula for the Margin of error

 E = Zc  * σ/√n

0.5 = 2.58 * 1.55/√n

√n = 2.58 *  1.55/0.5

 √n = 3.999/0.5

  √n = 7.998

  n = ( 7.998)²

 n = 63.968004

Aproximately

  n = 64

the realtionship between the sample size and margin of error is inversly proportional.

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An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

[ log 5 = 0.69 ]

[ log 26 = 1.41 ]

The formula for log [tex]x^n[/tex] = n log x

The value of x is 0.043

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

[tex]5^{2x + 1} - 26(5^x) + 5 = 0[/tex]

[tex]5^{2x + 1} + 5 = 26(5^x)[/tex]

The formula for log [tex]x^n[/tex] = n log x

Taking logs on both sides.

log [tex](5^{2x + 1} + 5)[/tex] = log [tex]26(5^x)[/tex]

log [tex]5^{2x + 1}[/tex] + log 5 = log 26 + log [tex]5^{x}[/tex]

(2x + 1) log 5 + log 5 = 1.41 + x log 5

[ log 5 = 0.69 ]

[ log 26 = 1.41 ]

(2x + 1) x 0.69 + 0.69 = 1.41 + 0.69x

1.39x + 0.69 + 0.69 = 1.41 + 0.69x

0.70x = 1.41 - 1.38

x = 0.03 / 0.70

x = 0.043

Thus,

The value of x is 0.043

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The possible dimension of the triangular garden assuming it to be a right-angle triangle is (12,2),(8,3), and (4,6).

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The area of a triangle is given as (1/2) × base × height.

The given area of the triangle = 12 feet².

Thus,

12 =  (1/2) × base × height

Base × height = 12 × 2

Base × height = 24

The combination of two quantities gives 24 by multiplying will be (12,2),(8,3), and (4,6).

For example, the triangle with dimensions (4,6) is attached below.

Hence "The possible dimension of the triangular garden assuming it to be a right-angle triangle is (12,2),(8,3), and (4,6)".

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Answer:

y=-4x-4

Step-by-step explanation:

we know the slope so put it in the slope intercept form

y=-4x

Now fill it in to find y intercept with the coordinates

0=-4(-1)

0=4

We need to subtract 4 to make this equation true so the y intercept is -4

The equation will become

y=-4x-4

Hopes this helps please mark brainliest

Answer:

2

Step-by-step explanation:

y² = 4²= 16 (in substitution way)

16÷8= 2

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Answer:

2

Step-by-step explanation:

y^2/8

4^2/8

16/8

2

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Answer:

I agree with her the reason? because she is right

67.50/6= 11.25 meaning it's $11.25 per ticket

47/4= 11.75  meaning it's $11.75 per ticket

Step-by-step explanation: Jamar spent 11.25 per ticket

Aaron spent 11.75 per ticket meaning she spent more than Jamar

Answer: D. The polynomial is irreducible.

From the explanation below we do not get polynomial .

Step-by-step explanation:

A.(x+3)(x-6)

=  x^2-6x+3x-18

=x^2-3x-18

B.(x-3)(x+6)

 =(x^2+6x-3x-18)

  =x^2+3x-18

C.(x+3)(x^2-4x+6)

  =x^3-4x^2+6x+3x^2-12x+18

  =x^2-x^2-6x+18

D.The polynomial is irreducible

The average rate of change of function [tex]g(x)=5(2)^{x}[/tex] from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

The correct option is (A).

What is the average rate of change of a function?

The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function.

Using function notation, we can define the Average Rate of Change of a function f from a to b as:

                                     [tex]rate(m) = \frac{f(b)-f(a)}{b-a}[/tex]

The given function is  [tex]g(x) = 5(2)^{x}[/tex],

Now calculating the average rate of change of function from x = 1 to x = 2.

                               [tex]m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(2)-g(1)}{2-1}\\\\m=\frac{5(2)^{2}-5(2)^1}{2-1}\\ m=\frac{10}{1} \\m=10[/tex]

Now, calculate the average rate of change of function from x = 3 to x = 4.

                                 [tex]m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(4)-g(3)}{4-3}\\\\m=\frac{5(2)^{4}-5(2)^3}{4-3}\\ m=\frac{40}{1} \\m=40[/tex]

The jump from m = 10 to m = 40 is "times 4".

So option (A) is correct.

Hence, The average rate of change of function [tex]g(x)=5(2)^{x}[/tex] from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

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The equations using any method for the given situation illustrated that:

The equation for Jordan: 225 + 45w

The equation for RayAnn: 150 + 60w

Let the number of weeks be represented by w. Jordan saved $225 and continues to save $45 each week. The equation for this will be:

= 225 + (45 × w)

= 225 + 45w

RayAnn saved $150 and continues to save $60 each week. The equation will be:

= 150 + (60 × w)

= 150 + 60w

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The equivalent equation of the equation, [tex]\frac{5x+6}{2}=3-(4x+12)[/tex] is 5x + 6 = -18 - 8x

Two equations are said to be equivalent when they have the same solution set.

Equivalent equations are algebraic equations that have identical solutions or roots.

Therefore, let's find the equivalent equation of the equation.

[tex]\frac{5x+6}{2}=3-(4x+12)[/tex]

Let's open the bracket on the right side

[tex]\frac{5x+6}{2}=3-(4x+12)[/tex]

[tex]\frac{5x+6}{2}=3 - 4x - 12[/tex]

[tex]\frac{5x+6}{2}=(-9-4x)[/tex]

cross multiply

5x + 6 = 2(-9 - 4x)

5x + 6 = -18 - 8x

5x + 8x = -18 - 6

13x = - 24

divide both sides by 13

x = - 24 / 13

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x-intercept

The x-intercept is where y=0.

[tex]-7x+10(0)=35\\\\-7x=35\\\\x=\boxed{-5}[/tex]

y-intercept

The y-intercept is where x=0.

[tex]-7(0)+10y=35\\ \\ 10y=35\\\\y=\boxed{7/2}[/tex]

Answer:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all four sides. x is in this case the length of the rectangle while y is the width of the rectangle. The area is a measurement of the surface of a shape. for example

You are able to find the perimeter of the rectangle by adding length and width and multiplying by two because the opposite sides of a rectangle are equal in length. Both lengths of the rectangle are the same, and both widths are the same. For example, P = 2 * (14 + 8) = 2 * (22) = 44 centimeter (17.3 in).

Step-by-step explanation:

The solution of the inequality that determines how far Dev can travel over the weekend is -

x ≤ 400 miles.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Dave who is planning a car trip for weekend.

Assume that [x] represents the number of miles Dev can travel.

We can write the inequality as -

18 - 0.04x ≤ 2

0.04x ≤ 16

x ≤ 400 miles

Therefore, the solution of the inequality that determines how far Dev can travel over the weekend is -

x ≤ 400 miles.

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Answer:

x intercept = (-3/4, 0)

y intercept = (0, 3/7)

Step-by-step explanation:

just ask :))

The cost of 4.5 tonnes of rock is $56.25

Given,

cost of 1 tonne of rock=$12.50

then

to find cost of 4.5 tonnes of rock, multiply 12.50 with 4.5,

cost of 4.5 tonnes of rock = 4.5* 12.50 = $56.25

Thus ,the cost of 4.5 tonnes of rock is $56.25.

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Answer:

Gift aid  68.38 £

Step-by-step explanation:

Proportion:

273.50 £  -    100%

X £            -      25%

Gift aid:

X = 273.50·25% / 100% = 273.50 / 4 ≈ 68.38 £

Answer: x=3

Step-by-step explanation:

5x+2=7x-4
-5x +4    -5x +4
2x=6
divide both sides by 2
x=3

Answer:

70%

Explan your answer :

200-130=70 and 70% of 100 = 30% so

Answer: 65

Step-by-step explanation:

0.65

×

100

=

0.65×100=

65

%

65%

Answer:2.86

Step-by-step explanation:

3.5(x +2) = 17

3.5x + 7 = 17

3.5x =17 - 7

3.5x =10

x = 10/3.5

x = 2.86

Answer:

A. -9, -6, 8, 13

B. -4/5, -1/2, -.2, .25

C. -8/3, -2 1/2, 9/2, 4.75

D. -8, -3, -1, 4

E. -1/2, -1/4, .5, 3/4

F. -3/2, -5/4, -4/5, 1.5

Step-by-step explanation:

The easiest thing to do is to put them all in the same format. Fractions are just division problems, so just divide. 4/5 is 4 divided by 5, which is .8.

Remember, the farther a negative number is from 0 on the number line, the smaller it is. So, -8 is smaller than -5. -5 is smaller than -2, etc.

The accounting profit is $10,800 and economic profit is - $14,200.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The saving of Sarah = $50,000

The interest on $25,000 Sarah withdrew at the rate of 4% = $1000

The interest on $30,000  Sarah borrowed at the rate of 4% = %1200

The amount paid for ingredients = $27,000

Total investment = 27,000+30,000+ 1000+1200 = $59,200

Revenue of Sarah = $70,000

Accounting profit of Sarah = $70,000 - $59,200 = $10,800

Economic profit of Sarah = $70,000 - ($59,200+$25,000)

                                          = - $14,200

The accounting profit is $10,800 and economic profit is - $14,200.

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With a net change of +0.72 yesterday's closing price was 19.81 and stock dividend yield for yesterday's closing price is 7.2%.

How to calculate the Dividend Yield?

To calculate dividend yield, all you have to do is divide the annual dividends paid per share by the price per share.

Dividend Yield = Annual Dividends Paid Per Share / Price Per Share

According to the given question:

Net change = today's price - yesterday's price

0.72 = 19.09 - yesterday's price

∴ Yesterday's price = 19.81

Stock dividend yield

= (1.43/19.81) x 100

= 7.2%

Therefore the stock yield of yesterday's closing price is 7.2%

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Answer:

11 hours

Step-by-step explanation:

153 divided by 9 (which is 17) 17$ per hour so add 17 and 17 together which would be 34 and add it to 153 which would be 187$ he worked 2 more hours so in total he worked 11 hours.

and i know that was a bad explanation but its whatever hope this helped.

Answer:

each student get 2.5 of graham crackers

Step-by-step explanation:

[tex]total \: students \: = 12 \\ graham \: crackers \: = 30 \\ 30 \div 12 \\ = 2.5[/tex]

Answer:

Step-by-step explanation:

Area of a rectangle is given by the formula :

A = L × W

Substituting 90 with A , x with W and (x+3) with L, we get :

90 = (x+3)×x

Simplifying the right side by expanding the bracket :

x(x+3) =

x²+3x
90=x²+3x

Now we can make a quadratic by subtracting both sides by 90 :

x²+3x-90 =0

I'm not sure about the rest

The product of a number minus 17 and 5 are equivalent to: 5 (n - 17) .

X-terms and constants should be combined with any other like terms on either side of the equation. Put the terms in the same order, with the x-term usually coming before the constants. The two phrases are equal if and only if each of their terms is the same.

the sum of a number less than 17 and five

If x is an ambiguous number,

The sign for minus is -

A number less than 17 is denoted by x-17.

The multiplication is the product.

Add x-17 and (x-17)5 to get the answer.

In this case, the expression is 5 (n - 17).

When two numbers are multiplied together, the outcome is known as the product.

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The inequalities to represent the Ann situation is t > 40.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

In Mathematics, the relationship between two values that are not equal is defined by inequalities.

Therefore, an expression with an inequalities  have the signs <, >, ≤ and ≥.

Let's represent the situation with an inequalities.

Therefore, Ann exercises no less than 40 minutes per day.

let

t = Ann's amount of exercise (in minutes per day).

The inequalities to represent the situation is as follows:

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Answer:

16(2z-3) or GCF: 16

Step-by-step explanation:

32z-48 has a GFC of 16

16(2z-3)

Answer:

$16(2z-3)

Step-by-step explanation:

Prime factorization:

32: 2*2*2*2*2

48: 2*2*2*2*3

Notice any similarities:

2*2*2*2=16

$32z-$48 = $16(2z-3)