a data analyst is using statistical measures to get a better understanding of their data. what function can they use to determine how strongly related are two of the variables?

Looking at the triangles, the values of x in the figures are

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions

figure in 14)

The solution for x

8 / (x + 5) = (x - 9) / 21

21 * 8 = (x + 5)(x - 9)

168 = x^2 - 4x - 45

x^2 - 4x - 213

x = 16.73 or -12.73

using the positive value

x = 17

figure in 15)

The solution for x

(x + 3) / 15 = 4 / (3x + 1)

cross multiplying

(x + 3)(3x + 1) = 15 * 4

3x^2 + 10x + 3 = 60

3x^2 + 10x - 57 = 0

x = 3 OR -6.333

taking the positive value

x = 3

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Step-by-step explanation:

In a candy box, there are 3 times as many candies with nuts as candies without nuts. There are 12 candies in the box. How many candies with nuts are in the box?

let:

without nuts = x

with nuts = 3x

so:

x + 3x = 12

4x = 12

x = 3, so there are 3 candies without nuts.

Because there are three times more candies with nuts than without:

3 * 3 = 9 candies with nuts

Answer:

9 candies with nuts

Step-by-step explanation:

Suppose the number of candies is x

there three times as many candies with nuts as candies without nuts, so 3x

there are 12 candies in total

3x+x=12

4x=12

x=3

3x=9

Answer:

Step-by-step explanation:

 mu = 35,420 sigma = 2,050 n = 256 s...

Answer:

x=-10

Step-by-step explanation:

2(x+3) = 2x+6

2x+6=x-4

2x+6-6=x-4-6

2x=x-10

2x-x=x-10-x

x=-10

Answer:

it's b extra words. extra words. extra words. extra words

Step-by-step explanation:

I took the test

Answer:

Step-by-step explanation:

Sᴏ ᴛʜᴇ value of x= -4

x = -4

Step-by-step explanation:

Solution:-

[tex]{ \blue{ \sf{f(x) = - 4x + 8}}}[/tex]

In order to find the value of x, put 24 in the place of f(x) (given) then,

[tex]{ \blue{ \sf{24 = - 4x + 8}}}[/tex]

[tex]{ \blue{ \sf{24 - 8 = - 4x}}}[/tex]

[tex]{ \blue{ \sf{16 = - 4x}}}[/tex]

We should find the value of x. So divide bith the sides by -4. then,

[tex]{ \blue{ \sf{ - \frac{16}{4} = \frac{ - 4}{ - 4} x}}}[/tex]

[tex]{ \bold{ \boxed{ \red{ \sf{ -4 = x}}}}} \: (or) \: { \bold{ \boxed{ \red{ \sf{x = - 4}}}}}[/tex]

Best buy is the last one. And the smallest unit rate will be $0.34 per ounce.

It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.

A discount store sells 5.5 - ounce jars of fish in bundles of 5. A bundle of 5 jars costs $10.45. Then the unit rate is given as,

⇒ ($10.45 x 5) / (5.5 x 5 x 5)

⇒ $0.38 per ounce

The store likewise sells 4.5-ounce jars of similar fish in bundles of 8. A bundle of 8 jars costs $12.96. Then the unit rate is given as,

⇒ ($12.96 x 8) / (4.5 x 8 x 8)

⇒ $0.36 per ounce

The store sells 3.5 - ounce jars in bundles of 4 jars for $4.76. Then the unit rate is given as,

⇒ ($4.76) / (3.5 x 4)

⇒ $0.34 per ounce

Best buy is the last one. And the smallest unit rate will be $0.34 per ounce.

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Check answer below in the image.

If Helen wants to find the value. the upper bound for Helen's value of TC is 3.123 and lower bound is 3.092.

Upper bound

405 = 405.999

130 =130.99

Lower bound

405 = 405.001

130 =130.01

Now let find the upper and lower bound

Upper bound = 405.999/130.01

Upper bound =3.123

Lower bound = 405.001 /130.99

Lower bound = 3.092

Therefore the upper bound is 3.123.

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Answer:

140

Step-by-step explanation:

140

Answer:

  f^-1(x) = √((y +9)/3)

Step-by-step explanation:

You want the inverse function of y = 3x² -9.

The given relation will only have an inverse function if its domain is restricted to values x ≥ 0.

We can find that inverse function by interchanging the variables x and y, then solving for y:

  x = 3y² -9

  x +9 = 3y² . . . . . . . add 9

  (x +9)/3 = y² . . . . . . divide by 3

  y = √((x+9)/3) . . . . . take the square root

The inverse function is f^-1(x) = √((x +9)/3).

The expression x³ + 3x² - 10x + 24 cannot be factorized

From the question, the polynomial is given as

x3+3x2−10x+24

Rewrite the polynomial properly

So, we have the following representation

x³ + 3x² - 10x + 24

Next, we represent the above expression on a graph

From the attached graph, we can see that the polynomial expression only cross the x-axis at x = -5.569

This implies that the expression cannot be factored

So, we cannot further rewrite the given expression

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Answer:b=2/3 if u don't need an answer that is not a fraction or decimal u can write 17. as a whole number.

Step-by-step explanation:

The monthly budget for rent is $1,627.33 ≤ m ≤ $2,441.00

An equation is an expression that shows the relationship between two or more numbers and variables.

Let m represent the monthly rent of the shop.

The average yearly revenue is $195,280. Hence:

Monthly revenue = $195,280 / 12 = $16273.33

If the monthly budget for rent is 10%, hence:

m = 10% of $16273.33 = 0.1 * $16273.33 = $1627.33

If the monthly budget for rent is 15%, hence:

m = 15% of $16273.33 = 0.15 * $16273.33 = $2441.00

$1,627.33 ≤ m ≤ $2,441.00

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Answer:

Part A The vertex domain and range of the function g(x) = \x-7\ is (7,0),(-∞,∞) and [0,∞)

Part B The function f(x) =lxl is vertically shifted by 2 units to get the function h (x) = lxl { 2. The y - coordinate of the vertex is shifted by 2

Answer:

A base

Step-by-step explanation:

its not an acid bc a ph level of 14 means is has a strong base.

Answer:

slope of the line = 1

Step-by-step explanation:

i hope i helped

Principal for 6000 frs for 3 years at 4% p.a. and 2000 frs for 2 years 3 months at 3% is 461.5 and 148.1.

Amount A = P(1+rt)

6000 = p(1+4*3)

6000 = p13

p = 6000/13

p = 461.5

Amount A = P(1+9/2*3)

2000 = P*27/2

P = 2000*2/27

P = 148.1

Therefore Principal for 6000 frs for 3 years at 4% p.a. and 2000 frs for 2 years 3 months at 3% is 461.5 and 148.1.

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The equation of a line parallel to x - 4y = 36 is x - 4y = 16.

If the two lines are parallel then their slope must be equal. Two parallels lines have different intercepts but same slope. The slope intercept form of a line is y = mx + c. Where m is the slope and c is the intercept.

Now, writing the given equation in slope-intercept form,

x - 4y = 36

4y = x - 36

[tex]y=\frac{1}{4}x-9[/tex]

By comparing it with slope-intercept form, we get

[tex]m=\frac{1}{4}[/tex]

c = -9

Now, Finding the equation of line passing through (-4,-5) with slope as [tex]\frac{1}{4}[/tex],

[tex]m=\frac{y-y_1}{x-x_1} \\\\\frac{1}{4}=\frac{y-(-5)}{x-(-4)}\\\\ \frac{1}{4}=\frac{y+5}{x+4}\\x+4=4y+20\\x-4y=16[/tex]

The equation of parallel line is x - 4y = 16.

Hence, the equation of a line parallel to x - 4y = 36 is x - 4y = 16.

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The coordinates for H are (9,2)

What are the coordinates?

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

Here, we have

D(0, 0), E(3, 1), and F(3, 0) is similar to triangle EGH.

coordinates are (x,y) = (x+6,y+2)

F's coordinate is (3,0)

using the coordinates we get (9,2)

Hence, the coordinates of H are (9,2)

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Answer: 31%

Step-by-step explanation:

Out of the students that receive financial aid, 1879 out of the 6101 total students are graduates.

So, the probability is [tex]\frac{1879}{6101} \approx 31\%[/tex]

Answer:

42

Step-by-step explanation:

6+8=14x3=42

42/3=14-6=8

Answer:

Don't know if i did it right but i think it is:

a=14

b=6

c=5

Answer:

WITDTH=7

Step-by-step explanation:

width = w

length = w + 2.

w(w + 2) = 63 (area)

quadratic equation in w:

w2 + 2w = 63

w2 + 2w - 63 = 0

FACTOR:

(w + 9)(w - 7) = 0

  9-7=2

   9x(-7) = -63

Two possible solutions:

w + 9 = 0 (solution w = -9) or

w - 7 = 0 (solution w = 7)

The width must be positive, the answer is 7 units.

length = w+2

length  = 9

The probability that both are defective when a customer selects 2 cartridges at random from the shelf will be 0.00766.

The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The probability of choosing defective cartridge=7/80

So, the probability of choosing 2 defective cartridge=(7/80)²

=0.00765625

=0.00766

When a customer randomly chooses two cartridges from the shelf, the likelihood that both are flawed is 0.00766.

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The measure of angle1 in the given rectangular figure is 64° .

In the question ,

it is given that ,

the one of the angle is 116° .

From the figure below ,

we can see that

the dashed line is a transversal to AB and CD ,

the angles on the line AB form a linear pair ,

So , angle2 + 116° = 180°

angle2 = 180° - 116°

angle2 = 64°

Since the side panel of the podium is cut from rectangular piece

the figure is representing two parallel lines , cut by the transversal .

By the property of transversal that alternate interior angles are equal in measure ,

angle 1 = angle 2

hence , angle 1 = 64° .

Therefore , The measure of angle1 in the given rectangular figure is 64° .

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Part a: ΔABC≈ΔAPQ

Part b: The line segment PQ corresponds to the line segment BC.

Part c: Angle P in APQ triangle angle equates to angle B.

Part a: line segment PQ parallel to BC; PQ||BC

Thus, ∠ABC =∠APQ  AND,   ∠ACB=∠AQP

So, by (AA similarity rule)

ΔABC≈ΔAPQ

Part b: The line segment APQ on the triangle corresponds to the line segment BC:

By CPST, line segment PQ on triangle APQ equates to line segment BC (corresponding parts of similar triangle).

Part c: APQ triangle angle equates to angle B:

Angle P on triangle APQ equals angle B via CPST (corresponding parts of similar triangle).

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The solution of quadratic equation 8x² = 6 + 22x is x = 3 and x = -1/4

What is a Quadratic equation ?

A second-degree equation of the form ax² + bx + c = 0 is known as a quadratic equation in mathematics. Here, x is the variable, c is the constant term, and a and b are the coefficients. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.

Given expression is,

8x² = 6 + 22x

Rewrite this expression as,

8x² - 6 - 22x = 0

8x² - 22x - 6 = 0

Now, we get the form quadratic equation i.e, ax² + bx + c = 0

Solve the equation and find roots

8x² - 22x - 6 = 0

2(4x² - 11x - 3) = 0

4x² - 11x  - 3 = 0

4x² - 12x + x - 3 = 0

Take common terms out,

4x(x - 3) + 1(x - 3) = 0

we get the brackets same that means we're on right way,

(4x + 1) (x - 3) = 0

split the values into two,

4x + 1 = 0      and  x - 3 = 0

4x = -1                    x = 3

x = -1/4

Therefore, the solution of quadratic equation 8x² = 6 + 22x is x = 3 and   x = -1/4

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