When we are given the value of the ______ variable, we can use the least-squares regression line to predict the value of the ______ variable.

Answers

Answer 1

When we are given the value of the explanatory variable, we can use the least-squares regression line to predict the value of the outcome variable.

The least square method is the process of finding the best-fitting curve or line of best fit for a set of data points by reducing the sum of the squares of the offsets (residual part) of the points from the curve. During the process of finding the relation between two variables, the trend of outcomes is estimated quantitatively. This process is termed as regression analysis. The method of curve fitting is an approach to regression analysis. This method of fitting equations that approximates the curves to give raw data is the least squares.

It is quite obvious that the fitting of curves for a particular data set is not always unique. Thus, it is required to find a curve having a minimal deviation from all the measured data points. This is known as the best-fitting curve and is found by using the least-squares method.

When we are given the value of the explanatory variable, we can use the least-squares regression line to predict the value of the outcome variable.

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Related Questions

A shipping container is in the form of a right rectangular prism and it can hold 1800 cubic feet of shipped goods when it is full. Its length is 30 ft and its height is 7 ft 6 inches. Find the width of the container in feet. Round your answer to the nearest tenth if necessary.

Answers

The width of the container can be calculated by dividing the product of the length and height by the volume. The width is 28.1 ft.

[tex]30 ft x 7.5 ft = 225 ft^3[/tex]

[tex]1800 ft^3 / 225 ft^3 = 8[/tex]

[tex]225 ft^3 / 8 = 28.125 ft[/tex]

Width = 28.1 ft

To calculate the width of the shipping container, you need to divide the product of the length and height by the volume. The length of the container is given as 30 ft, and the height is given as 7 ft 6 inches or 7.5 ft. Thus, the product of the length and height is [tex]225 ft^3[/tex]. The volume of the container when it is full is given as [tex]1800 ft^3[/tex]. To find the width, divide the product of length and height by the volume. Thus,[tex]225 ft^3 / 1800 ft^3 = 8[/tex]. Then, divide the product of length and height by the result you got in the previous step, that is,[tex]225 ft^3 / 8 = 28.125 ft[/tex]. This is the width of the container. Round this value to the nearest tenth and you get 28.1 ft as the width of the container.

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PLS HELP ANSWER QUICKLY PLS

Answers

Answer:

10

Step-by-step explanation:

a² + b² = c²

8² + 6² = c²

64 + 36 = c²

100 = c²

c = 10

The circle below is centered at the origin and has a radius of 8. What is its
equation?

Answers

The equation of a circle centered at the origin that has a radius of 8 is: D. x² + y² = 64.

What is the equation of a circle?

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²

Where:

h and k represents the coordinates at the center of a circle.r represents the radius of a circle.

Substituting the given points into the equation of a circle formula, we have the following;

(x - h)² + (y - k)² = r²

(x - 0)² + (y - 0)² = 8²

x² + y² = 64.

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Complete the equation that models the curve of best fit for this data.

curve of best fit: f(x) =
(
)x

Answers

X = -3 and its substitution into the first equation results in 3y = 9, which can be written as y = 3. As a result, the system of equations' solution's y-coordinate is 6.

What equation that models the curve of best fit for this data?

Equation is a mathematical and physical statement that describes physical phenomena and the relationship between various physical quantities.

It usually consists of a simple variable that presents the physical quantity, followed by a personal variable that may be a personal variable that is focused on the energy.

The system of equations has a solution, and its y-coordinate is 6. This is obtained by solving for x and then putting the specified y-value (2/3) into the equation -x+3y=9. In particular, -x+3(2/3) = 9 becomes -x = 3 when -x+3(2/3) = 9.

Therefore, The system of equations has a solution, and its y-coordinate is 6.

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You deposit $3000 in a savings account at Yorktown Bank, which has a
rate of 5%. Find the interest at the end of the first year.

Answers

Answer:

$150

Step-by-step explanation:

Interest = Principal x Rate x Time (in years)

I = 3000(.05)(1)

I = 150

Two angles form a linear pair. If one angle is
9 times the measure of the other angle, what are
the measures of each angle?

Answers

Answer:

18°, 162°

Step-by-step explanation:

Angles that form a linear pair are supplementary, so their measures add to 180°.

Let the measure of the smaller angle = x.

The larger angle measures 9x.

9x + x = 180

10x = 180

x = 18

9x = 9(18) = 162

Answer: 18°, 162°

Use the Pythagorean Theorem to find the length of the missing side of the right triangle. Then find the value of each of the six trigonometric functions of .
θ
A
B
C
a = 16
b = 30
c
Question content area bottom
Part 1
The length of the missing side of the right triangle is

Answers

1) The length of the missing side of the right triangle is 34.

2) The values of the six trigonometric functions of θ are:

sin θ = sin A = 8/17

cos θ = cos A = 15/17

tan θ = tan A = 8/15

csc θ = csc A = 17/8

sec θ = sec A = 17/15

cot θ = cot A = 15/8

What is Pythagorean Theorem?

Pythagoras Theorem is a method for calculating the missing length of a right-angled triangle. The triangle has three sides: the hypotenuse (which is usually the longest), the opposite (which does not touch the hypotenuse), and the adjacent (which is always the shortest) (which is between the opposite and the hypotenuse).

Part 1

To find the length of the missing side (c) of the right triangle, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, we have:

a² + b² = c²

Substituting the given values, we get:

16² + 30² = c²

Simplifying, we get:

256 + 900 = c²

1156 = c²

Taking the square root of both sides, we get:

c = sqrt(1156) = 34

Therefore, the length of the missing side of the right triangle is 34.

Part 2

To find the values of the six trigonometric functions of θ, we need to know one of the acute angles of the triangle. Let's call the acute angle opposite side a as angle A. Using the given values, we can find the sine, cosine, tangent, cosecant, secant, and cotangent of angle A as follows:

sin A = a/c = 16/34 = 8/17

cos A = b/c = 30/34 = 15/17

tan A = a/b = 16/30 = 8/15

csc A = 1/sin A = 17/8

sec A = 1/cos A = 17/15

cot A = 1/tan A = 15/8

Therefore, the values of the six trigonometric functions of θ are:

sin θ = sin A = 8/17

cos θ = cos A = 15/17

tan θ = tan A = 8/15

csc θ = csc A = 17/8

sec θ = sec A = 17/15

cot θ = cot A = 15/8

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when does the circle intersect the y axis

Answers

Answer:

i thinks its A im not for sure but give some money if its wrong fam bc im nice like that

Step-by-step explanation:

What is the measure of each angle in a regular polygon with 14 sides? If necessary, round your answer to the nearest tenth.

Answers

The measure of each angle in the regular polygon is 154.3 degrees

How to determine the measure of each angle in a regular polygon

From the question, we have the following parameters that can be used in our computation:

Number of sides, n = 14

The measure of each angle is calculated as

Angle = ( n − 2 ) × 180/n

substitute the known values in the above equation, so, we have the following representation

Angle = (14 − 2) × 180/14

Evaluate

Angle = 154.3

Hence, the angle is 154.3

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Need Help Asap Today

Answers

The area of the wall is 275 ft square

The number of gallon to cover the wall approximately is 3

the price of the paint is $73.5

How to solve for the area of the wall

1. The area of the wall is given as l * w

this is the value that is used to solve for the area of a rectangle

the length is given as 10 ft

the width is given as 22 ft

the area would be 10 * 22

= 220 ft square

find the area of the triangle = rectangular part is given as height = 15 ft - 10 ft = 5 ft

base = 22 ft

area = 1/2 b h

= 0.5 * 22 * 5

= 55

total area = 220 + 55 = 275 ft square

2. If 1 gallon of paint covers 105 ft

the amount that would cover 275 ft would be gotten when we cross multiply

1 = 105 ft

x  = 275 ft

275 ft = 105 x

x = 275 / 105

x = 2.619

x ~ 3 gallons of paint

3. If one gallon is 24.5 dollars, the total amount that you would purchase is 3 * 24.5

= $73.5

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Help with this question?

Answers

Answer:

a.18%

b.68%

Step-by-step explanation:

for a you need to multiply 2 to get 18 out of 100 to get 18% and for b you need to multiply 4 to get 68 out of 100 to get 68%

parallelagram abcd has the angle measures shown

Answers

Answer:

Theres nothing shown

Step-by-step explanation:

The average January temperature in your city is 45° F, but the actual temperature can vary up to 5° F warmer or colder depending on the year. Write an absolute value inequality that expresses the actual temperature in your city.

Answers

An absolute value inequality that expresses the actual temperature in your city, given that the average January temperature is 45° F and the temperature can vary up to 5° F warmer or colder, would be: | x - 45 | ≤ 5.

Where x represents the actual temperature in degrees Fahrenheit.

What is absolute value inequality?

An inequality with an absolute value expression is referred to as an absolute value inequality. A quantity is enclosed in vertical bars (| |), which stand for the distance between that quantity and zero on the number line, to indicate an absolute value statement. The absolute value of an integer is always positive, hence regardless of the sign of x, |x| indicates the distance of x from zero.

Finding all feasible values of the variable that meet the inequality is the goal when resolving an absolute value inequality. To accomplish this, we first isolate the expression defining the absolute value, and then divide the inequality into two cases, one for positive and one for negative expressions defining the absolute value. Then, we resolve each case separately and combine the solutions.

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Which equation represents a proportional relationship?
y=-x
y = 5x + 1
y = −5 (x + 1)
o y =15x

Answers

y= 5x + 1 would be correct



Find all y-intercepts of the graph of
x² -10x + y² - 10y + 25 = 0.

Answers

Answer:

yjgdy

hgjg

hhjj

hggh

hhj

i-Ready
Solve the equation 6y + 14 = -5y - 8.
What is the value of y?

Answers

Answer:

-2

Step-by-step explanation:

6y + 14 = -5y - 8

6y + 5y = -8 -14

11y = -22

y = -22/11

y = -2

Figure ABCD is a kite. Find the
value of x.
A
B
D
x = [?]
AB = 4x
AD = x + 15
C

Answers

Answer:

x=5

Step-by-step explanation

4x=x+15

x=5

Answer:

Since ABCD is a kite, AB=AD and BC=CD

Given:

AB = 4x

AD = x + 15

equating both sides;

4x = x + 15

4x - x = 15

3x = 15

x = 15/3

x = 5

for which values of k are the expressions 12d + 8 and 4(3d + 5) - 8 equivalent

A: No values
B. When d = 0
C: when d = 1
D.All values

Answers

Answer: A) No values of k are the expressions 12d + 8 and 4(3d + 5) - 8 equivalent.

What does "equivalent value" mean?

They are the same if one amount or value has the same value as another.

We need to set the formulae 12d + 8 and 4(3d + 5) - 8 equal to one another and solve for k to get the values of k for which they are equivalent:

12d + 8 = 4(3d + 5) - 8

When we simplify this equation, we obtain:

12d + 8 = 12d + 12

When we take away 12d from both sides, we obtain:

8 = 12

There are no variables of k for which the expressions are similar because this equation is false for all values of d.

As a result, the response is A) No values.

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Question 5
A line passes through the point (-1, -1) and has a slope of 6.
Write an equation in point-slope form for this line.

Answers

An equation in point-slope form for this line is y=6x+5.

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

Given that;

Point on a line (-1,-1)

Slope of the line 6

Now, substituting the values in the general formula of line

y+1=6(x+1)

y+1=6x+6

y=6x+5

Therefore, the equation with the given slope will be y=6x+5.

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Solve the inequality √x+2 > -1.

Answers

The final inequality is x > - 1.

Option D is the correct answer.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

√(x + 2) > -1

Squaring both sides.

x + 2 > (-1)²

x + 2 > 1

Subtracting 2 on both sides.

x > 1 - 2

x > -1

Thus,

x > - 1 is the final inequality.

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Leah ate 9 hot dogs every 21 hours. At that rate how many would she eat in 35 hours

Answers

Answer:

15

Step-by-step explanation:

9/21 aproximatly = 0.42 then x35 = 15

Out of 1000 students who appeared for Cost accounting examinations,750 failed in maths,600 failed in accounts and 600 in costing,150 failed in both accounts and costing,450 failed in both maths and accounts,400 failed in both maths and costing.the students who failed all three subjects were 75.Prove that the above data is not correct​

Answers

Answer: This data can be proven to be incorrect using the Principle of Inclusion-Exclusion.

The Principle of Inclusion-Exclusion states that for two events A and B, the number of elements in the union of A and B is equal to the sum of the number of elements in A and the number of elements in B minus the number of elements in their intersection.

Let's denote the number of students who failed in Maths as M, Accounts as A, and Costing as C.

From the information given, we have the following relationships:

M = 750

A = 600

C = 600

A ∩ C = 150

M ∩ A = 450

M ∩ C = 400

M ∩ A ∩ C = 75

Applying the Principle of Inclusion-Exclusion, the number of students who failed in at least one subject is:

M + A + C - (A ∩ C) - (M ∩ A) - (M ∩ C) + (M ∩ A ∩ C) = 750 + 600 + 600 - 150 - 450 - 400 + 75 = 925

However, the number of students who appeared for the exams is 1000, which means that the number of students who passed in all subjects should be 1000 - 925 = 75.

But we have already determined that the number of students who failed in all subjects is 75, which means that there are 75 students who are counted twice. This leads to a contradiction, and therefore the data given cannot be correct.

Step-by-step explanation:

You (or your parents) are debating about whether to buy a new car for $19,072.00 or a used car for $15,635.00. Sales tax is 4.5%. You (or your parents) plan to make a down payment of $1,200.00 and your credit rating is fair. What is the difference in interest accrued by the end of the first month?

Answers

The difference in the interest accrued by the end of the first month, given the credit rating and the cost is $ 21. 97

How to find the difference ?

First, find the amount borrowed to pay for the new car or the used car.

New car :

= ( 19, 072 x ( 1 + 4. 5 % sales tax )) - 1, 200 down payment

= $ 18, 730. 24

The used car :

= 15, 635. 00 x ( 1 + 4. 5 %) - 1, 200

= $ 15, 138. 58

The difference in interest at the first month is :

= ( Amount borrowed for new car x Monthly APR for fair credit rating ) - ( Amount borrowed for old car x Monthly APR for fair credit rating )

= ( 18, 730. 24 x 7. 55 % / 12 ) - ( 15, 138. 58 x 7. 60 % / 12 )

= $ 21. 97

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HELP ASAP TIMED!! hurry

Answers

Answer:

The solution is C. (x+8)² + (y-11)² = 4

Step-by-step explanation:

(x - h)² + (y - k)² = r²

h = -8

k = 11

r = 2

(x + 8)² + (y - 11)² = 2²

(x + 8)² + (y - 11)² = 4

The answer is C. (x+8)² + (y-11)² = 4

A system is made up of two subsystems, A and B, connected in-series (i.e., the system fails if either subsystem fails). Subsystem A is made up of components 1 and 2, connected in series. Component 1 fails according to a Poisson process with rate 0.2 per month, whereas component 2 fails as a Poisson process with rate 0.08 per month. Subsystem B is made up of a single component 3, which is subject to repeated disruptions. The disruptions arrive as a Poisson. process with rate 1.2 per month but only 20% of them cause the failure of component 3.
a) Find the probability that the system will fail during a 3-month period.
b) Find the probability that there will be no more than two failures of the system during a 6-month period.
c) Find the probability that the next system failure will occur within a year.

Answers

Answer: a) The probability that the system will fail during a 3-month period can be calculated as the sum of the probabilities of subsystem A and subsystem B failing, since the system fails if either one fails. The probability of subsystem A failing in 3 months is given by P(A) = 1 - e^(-0.2 * 3) * (1 + 0.2 * 3 + (0.2 * 3)^2 / 2!) = 0.0664. The probability of subsystem B failing in 3 months is given by P(B) = 1 - e^(-1.2 * 3) * (1 + 0.2 * 3 + (0.2 * 3)^2 / 2!) = 0.36. Therefore, the probability that the system will fail in 3 months is P(system) = P(A) + P(B) = 0.0664 + 0.36 = 0.4264.

b) To find the probability that there will be no more than two failures of the system during a 6-month period, we need to use the cumulative distribution function (CDF) of the Poisson distribution. Let X be the number of failures of the system in 6 months. The CDF is given by F(x) = P(X <= x) = 1 - P(X > x), where P(X > x) is the probability that there will be more than x failures. Therefore, the probability that there will be no more than two failures of the system during a 6-month period is given by F(2) = 1 - P(X > 2). We can use the formula for the Poisson distribution to find P(X > 2), which is P(X > 2) = e^(-6 * (P(A) + P(B))) * ((6 * (P(A) + P(B)))^3 / 3! + (6 * (P(A) + P(B)))^2 / 2! + 6 * (P(A) + P(B)) / 1! + 1). Plugging in the values for P(A) and P(B) from part (a), we get F(2) = 1 - e^(-6 * 0.4264) * ((6 * 0.4264)^3 / 3! + (6 * 0.4264)^2 / 2! + 6 * 0.4264 / 1! + 1) = 1 - 0.2079 = 0.7921.

c) To find the probability that the next system failure will occur within a year, we need to find the cumulative distribution function (CDF) of the time between failures, which is the sum of the time between failures of subsystem A and subsystem B. Let X be the time between failures of subsystem A, which follows an exponential distribution with rate 0.2 per month. Let Y be the time between failures of subsystem B, which also follows an exponential distribution with rate 1.2 * 0.2 = 0.24 per month. Then the CDF of the time between failures is given by F(t) = P(X + Y <= t) = 1 - P(X + Y > t0.2 * 12) * e^(-0.24 * 12) = 1 - 0.17 = 0.83. Therefore, the probability that the next system failure will occur within a year is 0.83.

Step-by-step explanation:

PLEASE HELP
A piece of copy paper has a thickness of approximately 4 × 10-3 in, and a human hair has a thickness of approximately 1 × 10-3 in. Which of the following is true?

A.
A human hair is approximately forty times thicker than a piece of copy paper.

B.
A piece of copy paper is approximately four times thicker than a human hair.

C.
A piece of copy paper is approximately forty times thicker than a human hair.

D.
A human hair is approximately four times thicker than a piece of copy paper.

Answers

The statement that is true is: B. A piece of copy paper is approximately four times thicker than a human hair.

What is a scientific notation?

Scientific notation is a system of expressing extremely large figures in a standard form.

Considering the figures given in the question,

Thickness of copy paper = 4 × 10^-3 in

Thickness of human hair = 1 × 10^-3 in

So that;

Thickness of copy paper/ Thickness of human hair = 4 × 10^-3/ 1 × 10^-3

                                                    = 4 × 10^-3 * 10^3

                                                    = 4

Thus it can be concluded that the copy paper is approximately four times thicker than a human hair. Thus option B.

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Solve for x
.........

Answers

The solution for x in the trapezoid is x = 12

How to solve for x in the trapezoid?

The midsegment of a trapezoid is a line segment that connects the midpoints of the parallel sides of the trapezoid.

The midsegment of a trapezoid is parallel to the bases of the trapezoid and is equal in length to half the sum of the lengths of the two bases. That is:

DE = 1/2 * (KL + JM)

14 = 1/2 * (11 + 3x - 19)

14 = 1/2 * (3x - 8)

14 * 2 = 3x - 8

28 = 3x - 8

3x = 28 + 8

3x = 36

x = 36/3

x = 12

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Match the graph of the system of equations with the appropriate description of the solution.

No solution.
The solution is (0, 0).
The solution is (-1, -2).
There are infinitely many solutions.

Answers

The requried solution of the system of equations is (-1, -2). Option C is correct.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Two intersecting lines will have exactly one solution (i.e., a unique point of intersection) if and only if they are not parallel.

In other words, if the slopes of the two lines are different, they will intersect at a single point. This is because the slopes of the lines determine how steep they are, and if they are not the same, they will eventually cross at a single point. So from the graph, both lines intersect at (-1, -2) implying that The solution is (-1, -2).

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I need help on solving for "B"

Answers

The y-intercept b of the equation of the line is 30.

How to find the equation of a line?

The graph represent a linear relationship between the temperature in degree farad and time in minutes.

Therefore, let's find the y-intercept b of the equation.

Hence, using slope intercept form,

y = mx + b

where

m = slopeb = y-intercept

Therefore,

y = 20x + b

where

b = y-intercept

Using (6, 150) let's find b as follows:

y = 20x + b

150 = 20(6) + b

150 - 120 = b

Therefore,

b = 30

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3) Find the sum of the first 50 terms. *
8 + 20+32 +44 + ...

Answers

15100

Step-by-step explanation :

Sum of first 50 terms for the AP:

[tex]\dashrightarrow { \boxed{\sf S = \dfrac{n}{2} (2a + (n - 1)d )}}[/tex]

where ,

Total no. of terms (n)= 50 Comman difference (d) = 20 - 8 = 12 First term (a) = 8

On substituting the values , we get :

[tex]\dashrightarrow \sf S = \dfrac{50}{2}(2 \times 8 + (50 - 1) \times 12) \ \\ \\ \dashrightarrow \sf S = 25(16 + 49 \times 12 ) \\ \\ \dashrightarrow \sf S = 25(16 + 588 )\\ \\ \dashrightarrow \sf S = 25(604 )\\ \\ \dashrightarrow \sf S = 15100 \\ [/tex]

[tex] \therefore[/tex] Sum of the first 50 terms is 15100

Other Questions
Think about all of the inventions you've discoveredin this lesson. Which two inventions changedAmericans' lives the most? Explain your answer ina few sentences.IDONE A____is a window that can remain open and visible while you work in a document to allow you to get to various tools while you work. a bar graph that shows all the organic compounds in an egg. 1.1 DIALOGUE Young people have different views on brand names. Wearing branded clothing is often seen as a status symbol. Write a dialogue between two friends who have opposing views on this growing trend. a close inspection of an electric circuit reveals that a 480 ohm resistor was inadvertrently soldered in the place where a 350 ohm resistor is needed. how can this be fixed without removing anything from the exsiting circuit? The total advertising budget for Beza Media is Birr 200,000. The following gives the costs per exposures per ad package (with all numbers in thousands). Medium I 10 Cost/package and Exposures/package 3,100,000 Medium II 4 Cost/package and Exposures/package 2,000,000 Medium III 5 Cost/package and Exposures/package 2,500,000 If the maximum number of Medium I, Medium II and Medium III packages that can be purchased is 18, 10, and 12, respectively. How many of each ad package should be purchased to maximize the number of ad exposures? ice should be applied for ________ as part of the treatment for fractures. which of the special occasion speeches could be delivered during a ceremony, but also delivered in workplace situations? Calculate the freezing point of a solution containing 10.6 g FeCl3 in 159 g waterCalculate the boiling point of a solution above. breakers bay inc. has succeeded in increasing the amount of goods it sells while holding the amount of inventory on hand at a constant level. assume that both the cost per unit and the selling price per unit also remained constant. all else held constant, how will this accomplishment be reflected in the firm's financial ratios? Which of the following is called as the brain of the cell?A. NucleusB. MitochondriaC. RibosomesD. Plasma membrane The scale of a map says that 3 inches represents 4 miles. What distance on a map represents an actual distance of 9 miles? Miri and Sara are collecting bags of aluminum cans for a recycling drive. Miri collects 3 times as many bags ofcans as Sara. Miri collects 123 bags of cans. Which equation and solution represent the number of bags of cans,s, Sara collects? decision-making behavior is said to integrate which of the following facets? select one: a. physiological state b. sensation c. memory of experience d. a Translate the sentence into an equation. Seven more than the quotient of a number and 5 is equal to 3. Use the variable B for the unknown number the juxtaposition of opposing or contrasting ideas, is called? Capsules are neutrally charged. This being the case, what is the purpose of emulsifying the sample in serum in this staining procedure 4. [0/2 Points]. DETAILS(b) g(g(3))Use f(x) = 5x - 4 and g(x) = 2x2 to evaluate the expression.(a) f(f(2))how do i solve this? A _____ consists of a common ancestral species and all its descendant species Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 70 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 64 miles per hour and 76 miles per hour.