Find the slope of the line that passes through (1, 1) and (-3, -5)

Answers

Answer 1

Answer:

3/2

Step-by-step explanation:

(1,1) and (-3,-5)

[tex]\frac{-5-1}{-3-1}[/tex]

Above is the difference of teh y values divided by the difference of x values

we get -6/-4    which is 3/2


Related Questions

The length of a rectangle plus its width is 24 cm. The area is 135 cm. What are the length and width of the rectangle

Answers

Answer:

[tex]l = 5.63 \\ [/tex]

hope this helps

PLEASE HELP IM STUCK

Answers

Answer:

-2

Step-by-step explanation:

The slope of a line is rise/run

So, just see how much the line rises/how much the line runs

In this case, the line rises 2 units for every -1 unit it runs

So, the slope is -2

One leg of a right triangle has a length of 5m. The other sides have lengths that are consecutive integers. Find these lengths.

Answers

The lengths of the other two sides of the right triangle are 12 and 13

Pythagorean theorem

From the question, we are to determine the lengths of the other sides of the triangle

From the given information,

The other sides have lengths that are consecutive integers

Thus,

If the length of the other side is x

Then,

The hypotenuse will be x + 1

By the Pythagorean theorem, we can write that

(x+1)² = x² + 5²

(x+1)(x+1) = x² + 25

x² + x + x + 1 = x² + 25

x² - x² + x + x = 25 - 1

2x = 24

x = 24/2

x = 12

∴ The other leg of the right triangle is 12

Hypotenuse = x + 1 = 12 + 1 = 13

Hence, the lengths of the other two sides are 12 and 13

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p(x)= x2-x-12 and q(x)=x+3 find p(x) ÷ q(x) The question of O-MATH

Answers

Hello,

[tex] \frac{p(x)}{q(x)} = \frac{ {x}^{2} - x - 12}{x + 3} = \frac{(x - 4)(x + 3)}{x + 3} = x - 4[/tex]

Answer:

Step-by-step explanation:

Last week salazar played 13 more tennis games than perry. if they played a combined total of 53 games. How many games did salazar play?

Answers

If last week Salazar played 13 more tennis games than Perry and they played a combined total of 53 games, then Salazar played a total of 33 games.

Let the total number of games played by Perry be x.

It is given that, Salazar played 13 more tennis games than Perry.

Total games played by Salazar = x + 13

Also, Salazar and Perry played a combined of 53 games.

Hence, total number of tennis games played by Salazar and Perry = 53

⇒ Games played by Salazar + Games played by Perry = 53

⇒  x + (x + 13) = 53

2x + 13 = 53

2x = 53 - 13

2x = 40

x = 40 / 2

x = 20

Therefore, total number of games played by Salazar = x+13

= 20 + 13

= 33

Thus, Salazar played total 33 games.

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According to the weather report, there is a 25% chance of snow in the mountains tomorrow. how likely is it to snow tomorrow in the mountains?

Answers

It is likely is it to snow tomorrow in the mountains is 1/4

A chance is the occurrence of events without apparent purpose or cause. It is simply the possibility that something will happen. When chance is defined in mathematics, it is called probability. Probability is the extent to which an event is likely to occur, measured by the ratio of favorable cases to the total number of possible cases. Mathematically, the probability that an event occurs is equal to the ratio of the number of cases favorable to a particular event to the number of all possible cases. The theoretical probability of an event is referred to as P(E). P(E) = number of outcomes more favorable to E/Nnumber of all possible outcomes of the experiment

We need to find that what is the chance that it will snow tomorrow in the mountains

According to the weather report, there is a 25% chance of snow in the mountains tomorrow.

Therefore the possible chance that it will snow tomorrow is 25/100 = 1/4

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Find the five-number summary for the data.
{236, 202, 218, 208, 225, 229, 211, 237, 223, 206, 217, 216, 232, 225, 208}

Answers

Minimum: 202

Quartile (Q1): 208

Median: 218

Quartile Q3: 229

Maximum: 237

What is the Five-Number Summary?

The max and min value, the lower and upper quartiles, and the median of a data comprise the five-number summary.

Given the data: 236, 202, 218, 208, 225, 229, 211, 237, 223, 206, 217, 216, 232, 225, 208, we would have the following:

Minimum: 202 (least value)

Quartile (Q1): 208 (center of the first half of the data)

Median: 218 (center of the data when ordered)

Quartile Q3: 229 (center of the second half of the data)

Maximum: 237 (highest value).

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I need to find the equation of the line

Answers

Answer:

y = 3x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line

m = [tex]\frac{3-0}{0-(-1)}[/tex] = [tex]\frac{3}{0+1}[/tex] = [tex]\frac{3}{1}[/tex] = 3

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = 3x + 3 ← equation of line

Answer:

y = 3x + 3

Step-by-step explanation:

See attached image.

can someone please help me

Answers

Based on the knowledge of trigonometric expressions and properties of trigonometric functions, the value of the sine function is equal to - √731 / 30.

How to find the value of a trigonometric function

Herein we must make use of trigonometric expressions and properties of trigonometric functions to find the right value. According to trigonometry, both cosine and sine are negative in the third quadrant. Thus, by using the fundamental trigonometric expression (sin² α + cos² α = 1) and substituting all known terms we find that:

[tex]\sin \theta = -\sqrt{1 - \cos^{2}\theta}[/tex]

[tex]\sin \theta = - \sqrt{1 - \left(-\frac{13}{30} \right)^{2}}[/tex]

sin θ ≈ - √731 / 30

Based on the knowledge of trigonometric expressions and properties of trigonometric functions, the value of the sine function is equal to - √731 / 30.

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Mary had 81 fliers to post around town. last week, she posted 1/3 of them. this week, she posted 2/3 of the remaining fliers. how many fliers has she still not posted?

Answers

Answer:

18 posters

Step-by-step explanation:

Posters posted last week: 81/3 = 27 posters

Remaining posters: 81-27 = 54 posters

Posters posted this week: 54/3 = 18*2 = 36 posters

Posters remaining: 54-36 = 18 posters

How many distinct triangles can be formed for which m∠E = 64°, g = 9, and e = 10?
triangle(s)

How many distinct triangles can be formed for which m∠J = 129°, k = 8, and j = 3?
triangle(s)

Answers

Answer:

10

Step-by-step explanation:

1.

For two side measures and one angle measure to form one distinct triangle, the given angle must be between the given sides, or opposite the longest side.

When the given measures are ...

E = 64°g = 9e = 10

The given angle is opposite the longest side, so one distinct triangle can be formed.

2.

No triangle can be formed if the given angle is opposite the shorter given side, and either of ...

the angle is right or obtusethe ratio of shorter to longer sides is less than the sine of the given angle.

__

Additional comment

As we can see from the above, the only ambiguous cases arise when the given angle is opposite the shorter given side. When that happens, the ratio of the shorter to longer given side relative to the sine of the given angle determines the nature of the solution:

two distinct triangles if the ratio is greater than the sineone right triangle if the ratio is equal to the sine.

Answer:

1

0

Step-by-step explanation:

Office procedure note this 39-year-old patient returns to the office today because of a defect on the nail of his left big toe. he was seen three times in the last four months for this problem. this defect is very suspicious, and i felt it best to biopsy a portion of the nail plate and bed. the sample was sent to pathology. i told the patient that he will be called with the results, and then i will decide how to proceed. cpt code(s):

Answers

The CPT code that is used here is CPT code 11755.

What is the CPT code 11755?

This is the code that is used as the biopsy of the nail bed. The CPT code is used to report this procedure.

Then it would be determined if it is a case of melanoma or lesion that is causing the issues with the individuals nails.

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he correct code for biopsy of the nail bed or nail plate.

Ilean works as a welder and web designer. As a welder, she earns $18 per hour. Last week she worked 푥 hours as a welder and her friend paid her $75 to design a web page. Write an expression to represent the total amount Ilean earned last week.

Answers

The expression that represent the total amount Ilean earned last week is 27(18) + 75  

What is an equation?

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

Let y represent the total amount Ilean earned last week for working x hours.

Since she worked for 27 hours and earned $75 to design a web page. Hence:

y = 27(18) + 75

The expression that represent the total amount Ilean earned last week is 27(18) + 75  

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Drag each description to the correct location to complete the flow chart proof. Given: . D is the midpoint of . . Prove: is an isosceles triangle.

Answers

The isosceles triangle is proved below.

How to illustrate the triangle?

The complete information wasn't found. The proofing of the triangle will be illustrated. It should be noted that the angles opposite to the equal sides of an isosceles triangle are also equal.

Proof: Consider an isosceles triangle ABC where AC = BC.

We need to prove that the angles opposite to the sides AC and BC are equal, that is, ∠CAB = ∠CBA.

We first draw a bisector of ∠ACB and name it as CD.

Now in ∆ACD and ∆BCD we have,

AC = BC                                                                (Given)

∠ACD = ∠BCD                                                    (By construction)

CD = CD                                                               (Common to both)

Thus,  ∆ACD ≅∆BCD                                        (By SAS congruence criterion)

So, ∠CAB = ∠CBA                                              (By CPCT)

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Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.


Me: $14.89
Friend 1: $7.27
Friend 2: $25.67
Friend 3: $11.59

Answers

The fraction based on the information given illustrated for each person.

How to illustrate the information?

Me: $14.89

Friend 1: $7.27

Friend 2: $25.67

Friend 3: $11.59

Total = $59.42

The fraction for each person will be:

Me: $14.89 = 14.89/59.42 = 0.25

Friend 1: $7.27 = 7.27/59.42 = 0.12

Friend 2: $25.67 = 25.67/59.42 = 0.32

Friend 3: $11.59 = 11.59/59.42 = 0.195

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A manufacturer of window frames knows from long experience that 5 percent of the production will have some type of minor defect that will require an adjustment. What is the probability that in a sample of 20 window frames: a. None will need adjustment

Answers

0.385 is the probability under given conditions.

Lets simplify the above problem,

Given n=20, p=0.05, q=0.95

Probability that in a sample of 20 window frames:

None will need adjustments.

P(x=0)= 0.95^20 = 0.3585

At least one will need adjustment?

P(x>=1) = 1 - P(x=0)

= 1 - 0.3585

= 0.6415

More than two will need adjustment?

P(x>2) = 1 - P(x=0) -P(x=1) -P(x=2)

= 1 - 0.3585 - 20C1(0.05)^1*(0.95)^19 - 20C2(0.05)^2*(0.95)^18

= 0.6415 - 20*0.05*0.3774 - 190*0.0025*0.3972

= 0.2641-0.18868

= 0.0755

Hence 0.385 is the solution of the given problem.

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Find the value of x in each figure

Answers

Answer here is
X = 124

[tex]20-x-x^{2}[/tex]


solve this equation by class 9 course

Answers

The factored expression of the polynomial is (4 - x)(5 + x)

How to solve the polynomial?

The polynomial expression is given as;

20 - x - x^2

Expand the expression

20 - 5x + 4x - x^2

Factorize the expression

5(4 - x) + x(4 - x)

Factor out 4 - x

(4 - x)(5 + x)

Hence, the factored expression of the polynomial is (4 - x)(5 + x)

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Find the measure of the indicated angle to the nearest degree 35 and 28

Answers

The missing indicated angle of the given right angle triangle is; 39°

How to use trigonometric ratios?

We can see in the attached image showing the missing figure that it is a right angle triangle and as such we can find the missing angle via trigonometric ratios. In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles

The trigonometric ratios we can use are as follows;

sin x = opposite/adjacent = opp/hyp

cos x = adjacent/hypotenuse = adj/hyp

tan x = opposite/adjacent = opp/adj

Now, we see that the missing angle lies on the side with a length of 28. Thus, adjacent side = 28 and opposite side of it = 23. Thus;

tan x = opposite/adjacent = 23/28

x = tan⁻¹(23/28)

x =  tan⁻¹(0.8214)

x = 39.4° ≈ 39°

Thus, we can conclude that the measure of the indicated angle to the nearest degree 35 and 28 is calculated as 39°.

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Which function could be a stretch of the exponential decay function shown on the graph?

f(x) = 2(6)x
f(x) = One-half(6)x
f(x) = 2(one-sixth) Superscript x
f(x) = One-half (one-sixth) Superscript x

Answers

We find that the function that could be a stretch of the exponential decay is [tex]f(x) = 2\cdot \left(\frac{1}{6} \right)^{x}[/tex]. (Correct choice: C)

What function represents a stretch of a exponential decay function?

Exponential functions are trascedent functions whose form is described below:

[tex]y = a\cdot r^{x}[/tex]     (1)

Where:

a - Stretch factorr - Growth rate

There are two conditions for a stretch factor and exponential decay: (i) a > 1, (ii) 0 < r < 1. Thus, we find that the function that could be a stretch of the exponential decay is [tex]f(x) = 2\cdot \left(\frac{1}{6} \right)^{x}[/tex]. (Correct choice: C)

Remark

The picture is missing and it cannot be found, but statement is still solvable as there is only one choice that responds the question.

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Question is DOWN↓ PLS ANSWER I WILL MARK BRAINLIEST.....

Answers

Answer: Anita's

Step-by-step explanation:

Anita's shape would have the longest sides because she only has 4 total sides, while the others have 5, 6, and 10

This means that if the total perimeter for each of the shapes was 10 units,

Anita's shape would have side lengths of about 2.5 units while the others would have side lengths of 2, 1.6, and 1 units.

This means Anita's shape has the longest sides

Which rule states that when two outcomes are independent, the probability that these outcomes occur together is the product of their individual probabilities

Answers

The rule which states that when two outcomes are independent, the probability that these outcomes occur together is the product of their individual probabilities is "Multiplicative rule".

What is Multiplicative rule?

The likelihood of both events A and B occurring, in accordance with the probability multiplication rule, is equal to the product of the probability of B occurring and the conditional probability of event A occurring given that event B occurs.

If A and B are dependent events, then the probability of both events occurring simultaneously is given by:

[tex]P(A \cap B)=P(B) \cdot P(A \mid B)[/tex]

The likelihood of both events occurring simultaneously in an experiment where A and B are two independent events is given by:

[tex]P(A \cap B)=P(A) \cdot P(B)[/tex]

Multiplication Theorem of Probability:

The multiplication guidelines that we use in probability have already been taught to us, including;

[tex]\begin{aligned}&P(A \cap B)=P(A) \times P(B \mid A) \text {; if } P(A) \neq 0 \\&P(A \cap B)=P(B) \times P(A \mid B) \text {; if } P(B) \neq 0\end{aligned}[/tex]

Therefore, the relationship between two events is explained by the probability multiplication rule.

Set AB represents the events in which both events A and B have occurred for two events A and B related to a sample space S.

Consequently, (AB) indicates that occurrences A and B happened at the same time. You can write the event AB as AB.

Using the characteristics of conditional probability, the likelihood of event AB is calculated.

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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Answers

Answer:

The radius of the circle is 3 units. TRUE

The center of the circle lies on the x-axis. TRUE

The center of the circle lies on the y-axis. FALSE

The standard form of the equation is (x – 1)² + y² = 3. FALSE

The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9. TRUE

Step-by-step explanation:

x² + y² - 2x - 8 = 0

x² - 2x + y² = 8

Complete the square in x.

x² - 2x + 1 + y² = 9

(x - 1)² + y² = 3²

Center: (1, 0); radius: 3

The radius of the circle is 3 units. TRUE

The center of the circle lies on the x-axis. TRUE

The center of the circle lies on the y-axis. FALSE

The standard form of the equation is (x – 1)² + y² = 3. FALSE

The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9. TRUE

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?

y < 3x + 2
y > 3x + 2
y < One-thirdx + 2
y > One-thirdx + 2

Answers

The inequality represented by the graph is; B: y > 3x + 2

How to Interpret Inequality Graphs?

We are told that the line goes through the coordinates;

(-3, -7) and (0, 2)

Now, formula to find the slope is;

m = (y2 - y1)/(x2 - x1)

m = (2 - (-7))/(0 - (-3))

m = 9/3

m = 3

Since it's a dashed straight line and everything to the left is shaded, then it means that the inequality represented by the graph is;

y > 3x + 2

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Answer:

B

Step-by-step explanation:

edge 23

Part E:
Write the equation of the graphed function f(x), where a is the leading coefficient. Use the factors found in part D. Express the function as the product of its leading coefficient and the expanded form of the equation in standard form.

Answers

The equation for the graphed function is (x+20)(x+5)(x-15).

How to illustrate the equation?

It should be noted that a graph shows the relationship between variables.

From the graph, the equation is x³+10x²-275x-1500.

In this case, this can be  as - (x + 20)(x + 5)(x - 15)

The graph crosses the x axis. The coefficient is negative because the graph rises to the left.

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The graph of a relation is shown.

A coordinate plane with a straight line. The line starts in the lower left quadrant and continues up through the uppercase right quadrant. The line passes through the y-axis slightly below the origin, and then passes through the x-axis slightly to the right of the origin.
Which of these values could be the slope of the line? Select two options.

–2

0

Answers

The values which could be the slope of the line are numbers > 0.

Which values could be the slope of the line?

According to the task content, it follows that the given line originates from the lower left quadrant and continues through the upper right quadrant.

It therefore follows that the line is ascending from left to right in which case, the slope of the line is positive.

Hence, the possible values of the slope include the set of numbers greater than 0.

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Answer: C and D

Step-by-step explanation: Trust me bro

How do I solve this?

Answers

Answer:

first option

Step-by-step explanation:

to find the zeros equate f(x) to zero , that is

2x² + 8x - 3 = 0 ( add 3 to both sides )

2x² + 8x = 3 ← factor out 2 from each term on the left side

2(x² + 4x) = 3

to complete the square

add/subtract ( half the coefficient of the x- term )² to x² + 4x

2(x² + 2(2)x + 4 - 4) = 3

2(x + 2)² - 8 = 3 ( add 8 to both sides )

2(x + 2)² = 11 ( divide both sides by 2 )

(x + 2)² = [tex]\frac{11}{2}[/tex] ( take square root of both sides )

x + 2 = ± [tex]\sqrt{\frac{11}{2} }[/tex] ( subtract 2 from both sides )

x = - 2 ± [tex]\sqrt{\frac{11}{2} }[/tex]

that is

x = - 2 - [tex]\sqrt{\frac{11}{2} }[/tex] , x = - 2 + [tex]\sqrt{\frac{11}{2} }[/tex]

Answer:

x  = -2 - √11/2 and - 2 + √11/2.

Step-by-step explanation:

2x^2 + 8x - 3 = 0

Divide first 2 terms  by 2:

2(x^2 + 4x) - 3 = 0

2(x^2 + 4x)  = 3

Complete the square:

2 [ (x + 2)^2 - 2^2)  = 3

2(x + 2)^2  - 8 = 3

2(x + 2)^2 = 11

(x + 2)*2 = 11/2

x + 2 = ± 11/2

x = -2  ± √11/2

Each score in a set of data is multiplied by 3, and then 4 is subtracted from the result. If the original mean is 10 and the original standard deviation is 5, what are the new mean and new standard deviation

Answers

The new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.

According to the question,

Original mean is 10 and original standard deviation is 5 . In order to find to new mean and standard deviation when each score in data set is multiplied by 5 and then 7 is added.

First "change of scale" when every score in a data set is multiplied by a constant, its mean and standard deviation is multiplied by a same constant.

Mean: 10*3 = 30

Standard deviation: 5*3 = 15

Secondly "change of origin" when every score in a data set by a constant, its mean get  added or subtracted by the same constant and standard deviation remains constant.

Applying change of origin in the above mean and standard deviation  

Mean: 30 - 4 = 26

Standard deviation: Remains same = 15

Hence, the new mean and standard deviation is 26 and 15, when each score in data set is multiplied by 5 and then 7 is added.

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What are the factors of 3x2 23x − 8? (3x − 4)(x 2) (3x − 2)(x 4) (3x − 8)(x 1) (3x − 1)(x 8)

Answers

Answer:

(3x − 1)(x 8)

Step-by-step explanation:

please help I can't answer this question

Answers

At 0 hour, the amount of water in this pond is 2,660 liters.At 1 hour, the amount of water in this pond is 3,225 liters.No, the amounts given in parts (b) and (c) are not equal because because the line doesn't pass through the origin (0, 0) of the graph.

How to determine the amount of water?

By critically observing the graph above, the amount of water in this pond at 0 hour is equal to 2,660 liters.

Similarly, the amount of water in this pond at 1 hour is equal to 3,225 liters.

Next, we would determine the rate of increase:

Rate = Δy/Δx

Rate = (3225 - 2660)/(1 - 0)

Rate = 665.

The amounts given in parts (b) and (c) are not equal because because the line doesn't pass through the origin (0, 0) of the graph.

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Ayota Car Company produces a car that sells in Japan for 1.8 million. On September 1, the beginning of the model year, the exchange rate is 150:$1. Consequently, Ayota sets the U.S. sticker price at $22,000.A. Suggest three marketing strategies that Ayota can improve its situation. Be specific.B. It takes time for production and cost-saving strategies to take effect. In the short run, what financial managers can do in short run to improve Ayotas situation? Why? Which of the following is the best choice for a return type from a method that prompts users to enter their credit card number exactly as it appears on the card?A. intB. booleanC. longD. String Which international relations theory prioritizes concepts of "the state,' power, self-interest, and relative gains? Marxism Liberalism O Realism Constructivism During the past month, the following costs were incurred in the three production departments and two service departments of Kim & Co.:Using DepartmentSupplying departmentAdministrationFactory supportFabricationAssemblyFinishingAdministration0.400.300.200.10Factory support0.100.200.150.55Direct cost$480,000$1,250,000$1,560,000$268,000$238,000Required:Allocate service department costs to Fabrication, Assembly, and Finishing using the reciprocal method, and determine the total costs of Fabrication, Assembly, and Finishing after this allocation. (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations.) a thin-walled flexible tube with a telescopic lens and light that is inserted through an incision in the abdominal wall to examine or perform minor surgery Income Summary, before closing to Capital, contains a debit balance of $190 and a credit balance of $270. What is the entry to close Income Summary to Capital? OA) Debit Income Summary $190; credit Capital $270 B) Debit Income Summary $80; credit Capital $80 C) Debit Capital $80; credit Income Summary $80 D) Debit Income Summary $80 credit Capital $190 Solve each equation by completing the square. Round to the nearestnecessary.2x - 2x +7=5-2x^2 + 10x =144x^2 + 6x = 12 what is electric power quality and how passive filters are applied to this problem? The radii of atomic nuclei are of the order of 5.010?15m.Part A) Estimate the minimum uncertainty in the momentum of an electron if it is confined within a nucleus. Which verb form correctly completes this sentence?Vor einem Jahr _______ Peter als ein Bote. A. arbeiteten B. arbeitetest C. arbeitetet D. arbeitete If you take an antacid tablet, the pH in your stomach will increase. This means your stomach juice becomes more acidic. True False what is 5 1/100 as a decimal Question 32$24,800 is invested for 3 months in a savings account with a rate of 9% simple interest per year.Find the interest.$66,960.00$5,580.00 $6,6960 $558.00 Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied.Does the table show a probability distribution? Select all that apply.Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.Find the standard deviation of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Pearly Gates Inc. has a debt-to-assets ratio of 0.55. This means that:A. stockholders' equity is 55% of total assets.B. stockholders' equity is 45% of total assets.C. investors provide 55% of the company's financing.D. liabilities are 55% of equity. suppose the supply function of a certain item is given by S(x) = 4x +2 and the demand function is D(x)=14 - x2. find the producer's surplus. You've traced some odd network activity to malware that's infected a whole department's computers.They're processing a distributed task using spare CPU cycles, communicating with a remote server, andsending email to random targets. What kind of malware is it? The pendulum consists of a plate having a weight of 12 lb and a slender rod having a weight of 4 lb. Determine the radius of gyration of the pendulum about an axis perpendicular to the page and passing through point O. recrystallization works by dissolving mixtures of compounds into a hot solvent and then cooling it down. what happens as the solvent cools down? "A small degree of variability and a small standard deviation within aset of scores suggests:A) greater heterogeneity.B) greater homogeneity.C) greater discrepancy.D) greater randomness"