According to the U.S. Census​ Bureau, the mean of the commute time to work for a resident of CA is 21.5 minutes. Assume that the standard deviation of the commute time is 4.8 minutes to complete parts​ (a) through​ (c).

Part 1
​(a) What minimum percentage of commuters in has a commute time within standard deviations of the​ mean?

enter your response here​% ​
(Round to one decimal place as​ needed.)

Answers

Answer 1

Using Chebyshev's Theorem, the minimum percentage of commuters in has a commute time within 2 standard deviations of the​ mean is of 75%.

What does Chebyshev’s Theorem state?

When we have no information about the population distribution, Chebyshev's Theorem is used. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.At least 89% of the measures are within 3 standard deviations of the mean.An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

Hence, the minimum percentage of commuters in has a commute time within 2 standard deviations of the​ mean is of 75%.

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Related Questions

The volume of a cubical box is
54.872 cm3. The length of the side of
the box is
(b) 3.6 cm
(c) 3.8 cm
(a) 3.4 cm
(d) 3.2 cm

Answers

The sides length of the cubical box is 3.8 cm if the volume of a cubical box is 54.872 cm³ option second is correct.

What is a cube?

It is defined as three-dimensional geometry that has six square faces and eight vertices.

We have a volume of a cubical box is 54.872 cm³

V = 54.872 cm³

As we know the volume of the cube:

V = side³

54.872 = side³

Taking cube root on both sides:

side = 3.8 cm

Thus, the sides length of the cubical box is 3.8 cm if the volume of a cubical box is 54.872 cm³ option second is correct.

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A rope is broken up into 3 pieces. The first piece is three times bigger than the second piece and the third piece is eight feet more than the first piece. How big is each piece if the sun of all pieces is 64 feet ?

Answers

The first piece is 24 feet, the second piece is 8 feet, and the third piece is 32 feet

If P(x) is a polynomial with lead term -x7, then
a) P(x) goes to negative infinity as x goes to negative infinity, and P(x) goes to infinity as x goes to infinity
b) P(x) goes to infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity
c) P(x) goes to negative infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity
d) P(x) goes to infinity as x goes to negative infinity, and P(x) goes to infinity as x goes to infinity

Answers

P(x) goes to infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity , Option B is the correct answer.

What is a Polynomial ?

A polynomial is an expression which consists of variables , Coefficient , indeterminate and mathematical operations.

The polynomial given has  lead term -x⁷

So when x --> ∞  , -x⁷---> - ∞

and when x ---> - ∞  , -x⁷ ---->  ∞

Similarly for the function P(x)

So when x --> ∞  , P(x)---> - ∞

and when x ---> - ∞  ,  P(x) ---->  ∞

P(x) goes to infinity as x goes to negative infinity, and P(x) goes to negative infinity as x goes to infinity

Therefore Option B is the correct answer.

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What is the equation of the graph below

Answers

Answer:

y = csc(x)+2

Step-by-step explanation:

This is the graph of y = csc(x), shown in the attached image, shifted up 2 units.

is the square root of 10 a rational number

Answers

Answer:

No

Step-by-step explanation

The square root of 10 is irrational because it isn't a fraction

No, The square root of 10 a irrational number.

When completing the square on the equation c^2 + 11c = 12, the resulting solution is

Answers

Answer:

Attached file is the solutions

Step-by-step explanation:

The short leg of a 90-45-45 triangle is 5. What is the long leg and the hypotenuse?

Answers

The long leg and the hypotenuse of the isosceles right triangle will be 7.07 units.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The short leg of a 90-45-45 triangle is 5.

The right triangle is an isosceles right triangle. Then the two side will be same.

Then the long leg and the hypotenuse will be

H² = 5² + 5²

H² = 25 + 25

H² = 50

H = 7.07 units

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if f(x) = 4x - 3 and g(x) = x + 4, find (f - g)(x)

Answers

Answer:

3x - 7

Step-by-step explanation:

This questions asks about the subtraction of functions. To find the answer, we can subtract the same way we would subtract polynomials.

Subtracting Expressions

First, set up the subtraction problem by taking the expression for f(x) and subtracting the expression equal to g(x) from it.

This looks like:

(4x - 3) - (x + 4)

Next, distribute the negative to the second binomial

4x - 3 - x - 4

Then, combine like terms

3x - 7

Since we are not given a x-value, this is the final answer.

Solving for an X-Value

If you are given an x-value, the best way to solve the equation is to first solve each function and then subtract.

For example, using the same rules for each function let's solve (f-g)(2).

First, solve for f(2) and g(2)

f(2) = 5g(2) = 6

Then, subtract the 2 values

5 - 6 = -1

A piecewise function is represented by the graph below.

On a coordinate plane, a piecewise function has 2 lines. The first line is made up of 2 lines. One line goes from (negative 5, 3) to (negative 1, negative 1) and then goes up to a closed circle at (1, 1). The second line has an open circle at (1, 2) and then continues up through (3, 4).
What is the domain for the piece of the function represented by f(x) = x + 1?

x < –1
–1 ≤ x ≤ 1
1 ≤ x < 2
x > 1

Answers

Because we have an open circle at (1, 2), and then the line continues up, we conclude that the domain is:

D: x > 1.

What is the domain for the piece of the function represented by f(x) = x + 1?

Here we know that:

"The second line has an open circle at (1, 2)"

This means that the value x = 1 is not on the domain of the second line, and we know that the line "then continues up through (3, 4)"

(notice that these are two points on the line y = x + 1).

So we conclude that x = 1 is the lower bound of the domain of that line (and we can't tell that there is an upper bound).

Then we can just write the domain as:

D: x > 1.

So the last option is the correct one.

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300 people went on a trip. 20% chose hiking. how many people chose hiking?

Answers

60 people chose hiking.
20% of 300 is 60.
There’s your answer!

Use the Polygon tool to draw an image of the given polygon under a dilation with a scale factor of 14 and center of dilation ​(0, 0)​.

Answers

The points are (168, 168) , (168,56) , (112,0) , (70,112)

Given a scale factor is 14 and the center of dilation (0,0)

We need to find the Points using the scale factor and polygon tool

Now to find the new points the equation is

(old points - dilation center)*scale factor + dilation center

As we know the origin is the dilation center which simplifies to

(old point)*dilation center

(12,12) * 14  =  (168,168)

(12,4) * 14 = (168, 56)

(8,0)*14  =   (112, 0)

(5,8) *14  = (70, 112)

Hence the new points are  (168, 168) , (168,56) , (112,0) , (70,112)

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The USD appreciates 2% versus the JPY. The USD appreciates 4% versus the MXN. What is the approximate appreciation or depreciation we might see in the JPY/MXN cross exchange rate? Fill in the blanks: The JPY/MXN cross rate should ______________ about ______________ percent

Answers

The approximate appreciation or depreciation we might see in the MXN/JPY cross exchange rate is 3%.

What is Depriciation?

The term depreciation refers to an accounting method used to allocate the cost of a tangible or physical asset over its useful life. Depreciation represents how much of an asset's value has been used.

The approximate appreciation or depreciation we might see in the MXN/JPY cross exchange rate can be stated using the following 3 steps.

Step 1. State the initial exchange rates of the currency pairs.

Let first assume the initial exchange rates are as follows:

USD1 = JPY1

USD1 = MXN1

Therefore, we have the initial cross rate as follows:

MXN1 = USD1 = JPY1

MXN1 = JPY1

Step 2. Determine the new exchange rates

The new exchange rates can be determined as follows:

When the USD depreciates 2% versus the JPY, this implies that

USD1 X (100% + 2%) = USD1.02

has to be exchanged for JPY1.

Therefore, we now have:

USD1.02 = JPY1, or

USD1 = JPY1/1.02

USD1 = JPY0.98

Also, when The USD appreciates 1% versus the MXN, this implies that USD1  X  (100% - 1%) = USD0.99

has to be exchanged for MXN1.

Therefore, we now have:

USD0.99 = MXN1, or

USD1 = MXN1/0.99

USD1 = MXN1.01

Therefore, we have the new cross rate as follows:

MXN1.01 = USD1 = JPY0.98

MXN1.01 = JPY0.98

MXN1.01 / 1.01 = JPY0.98/1.01

MXN1 = JPY0.97, or

MXN1/0.97 = JPY0.97/0.97

MXN1.03 = JPY1

Therefore, the new exchange rates are as follows:

USD1.02 = JPY1

USD0.99 = MXN1

MXN1.03 = JPY1

c. Determination of appreciation or depreciation we might see in the MXN/JPY

Percentage of depreciation of MXN against JPY = ((Initial MXN/JPY - New MXN/JPY) / Initial MXN/YPY)  X 100 = ((1.03 - 1) / 1) * 100 = 3%

Since the percentage of depreciation of MXN against JPY is 3%, this also implies that the percentage of appreciation of JPY against MXN is 3%.

Thus, the approximate appreciation or depreciation we might see in the MXN/JPY cross exchange rate is 3%.

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You are given the steps for using a compass and a straightedge to construct a line perpendicular to a given line through a point not lying on the given line. Arrange the steps in the proper sequence.

Place the compass needle on the external
point R. Make the compass width greater
than the distance from R to the given line.

Draw an arc cutting the given line at
two points. Mark and label the points
of intersection P and Q.

Draw a line from the external point R to
the point where the arcs intersect, S.
Line RS is perpendicular to line PQ and
passes through the external point R.

Move the compass needle to P and make an
arc below the line. Keep the compass width,
and move the compass needle to Q. Draw an
arc below the line crossing the other arc.
Mark and label the point of intersection S.

Answers

The proper steps for the construction are given as 1, 2 4, and then 3.

Write the steps for construction?

The proper steps for the construction are;

1. Place the compass needle on the external point R. Make the compass width greater than the distance from R to the given line.

2. Draw an arc cutting the given line at two points. Mark and label the points of intersection P and Q.

3. Move the compass needle to P and make an arc below the line. Keep the compass width, and move the compass needle to Q. Draw an arc below the line crossing the other arc. Mark and label the point of intersection S.

4. Draw a line from the external point R to the points where the arcs intersect, S. Line RS is perpendicular to line PQ and passes through the external point R.

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Need help with this pls and thank
U soo
Much

Answers

Answer:

post the question??

Step-by-step explanation:

Answer:

What are we helping y with

Step-by-step explanation:

What is the asymptote of the graph of f(x)=5x−1?

Answers

The asymptotes of the graph of [tex]f(x) = \frac{5}{x - 1}[/tex] are as follows:

Vertical: x = 1.Horizontal: y = 0.

What are the asymptotes of a function f(x)?

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

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

For the vertical asymptote, we have that:

[tex]x - 1 = 0 \rightarrow x = 1[/tex].

For the horizontal asymptote, we have that:

[tex]y = \lim_{x \rightarrow \infty} f(x) = \frac{5}{\infty - 1} = 0[/tex].

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I opened a grocery account at my bank with $100. Every week thereafter, I withdraw $45 from the account to pay for groceries. If x is the number of weeks I've had the account, then y is the amount in the account. Find an equation of a line in the form y = mx + b that describes my grocery account balance.

Answers

Answer:

y=-45x + 100

Step-by-step explanation:

The slope-intercept form is y=mx+b where m is the slope and b is the y-intercept or in other words the initial amount (when x is 0). Since you start off with 100 dollars the y-intercept is going to be 100 since after 0 weeks (when you opened the account) you put 100 dollars in... so you should have 100 dollars. The slope is going to be -45 since you are withdrawing 45 each week so the value is going to be decreasing by 45 every week. If you put that together you get y=-45x+100

If a=(-1 -3 2 2 5 -1 -4 -5 -4) and b=(3 3 5 2 -5 2 -4 -1 1) find AB?

Answers

Answer:

what is the control ofprice floir or price celling then scplain one advantage an one dissvantage

The correct answer is -54

The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. It goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). Which graph represents g(x)? On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10). On a coordinate plane, a parabola opens up. It goes through (2, 8), has a vertex at (5, negative 11), and goes through (8, 8). On a coordinate plane, a parabola opens up. It goes through (negative 8, 10), has a vertex at (negative 5, 1), and goes through (negative 2, 10). On a coordinate plane, a parabola opens up. It goes through (negative 8, 8), has a vertex at (negative 5, negative 11), and goes through (negative 2, 8).

Answers

The transformation of a function may involve any change. When the graph of f(x) is transformed into 5 units to the right and one unit up, then the function g(x) is obtained.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

Up by d units: y = f(x) + dDown by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k \times f(x)Horizontal stretch by a factor k: y = f(x/k)

Given the function f(x)=x², which is transformed to g(x)=(x-5)²+1, therefore, the graph of both the functions are given below.

When the graph of f(x) is transformed into 5 units to the right and one unit up, then the function g(x) is obtained.

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Please solve this for me

Answers

Answer:

f(x) = square root of x

g(x) = 4x - 1

Step-by-step explanation:

What is 1/3 of 26 2/3. Please help me

Answers

Answer:

8.888(8)

Step-by-step explanation:

(26 +2/3)/ 1/3 =8.8888888889

Whats the answer… also thats1/3

Answers

I think it may be the first graph

which matrix equation represents the system of equations

Answers

Should be the second option

Answer:

option B is correct

To write any equations in the form of matrix

first make a matrix of all coefficients of that equations.. here coefficients of first equation is 4 and - 2 and that of second is 0 ( as there is no value of X) and 3

then make second matrix of X and y

last of answer of the equations, here (-7 ) and 5

Pleas help me please i dont know what this question is ​

Answers

Answer:

A = 6

B = 1

C = 14

Step-by-step explanation:

A = 25 - 19 = 6

B = 6 - 5 = 1

C = 19 - 5 = 14

give brainliest please! <3

what is the intercepts for y=2x-7

Answers

Answer:

x-intercept: [tex](\frac{7}{2},0)[/tex]

y-intercept: [tex](0,-7)[/tex]

Step-by-step explanation:

to find the x intercept set y = 0 and solve

0 = 2x - 7

2x = 7

x = 7/2

to find the y intercept set x = 0 and solve

y = 2(0) - 7

y = -7

What is the simplified form of 12x/900x²y4z6?
O 30y²|xz³|
O 30x²y2z4
O 360xy²|xz³|
O 360xy²|z³|

Answers

Answer:

[tex]360xy^2|xz^3|[/tex]

Step-by-step explanation:

Given expression:

[tex]12x \sqrt{900x^2y^4z^6}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:[/tex]

[tex]\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}[/tex]

Replace 900 with 30² :

[tex]\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:[/tex]

[tex]\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}[/tex]

[tex]\implies 360x|x|\sqrt{y^4}\sqrt{z^6}[/tex]

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

[tex]\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:[/tex]

[tex]\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}[/tex]

Simplify:

[tex]\implies 360xy^2|xz^3|[/tex]

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

again help me pease ​

Answers

Answer:

See below ~

Step-by-step explanation:

1) a) 50 km / 2 h

25 km/h

b) 540 kg / 3 days

180 kg/day

c) 125 m / 5 min.

25 m/min.

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate…

a) 50km/2h

=> 25 kilometers per hour

b) 540kg/3d

=> 180 kilogram per day

c) 125m/5min

=> 25 meter per minute

Triangle A B C is shown as the path of a ferry. Side A B is 3.5 miles long. The ferry turns 75 degrees to side B C. Side B C is 6 miles long. Side C A has an unknown length d.
A ferry transports passengers to three different ports. From port A, the ferry travels east 3.5 miles to port B. The ship then turns 75° south and travels for 6 miles to reach port C. What is the distance d from port C to port A? Approximate to the nearest tenth of a mile.

miles

Answers

The length of C from A is 3.5 miles if AB=3.5 miles and BC is 6 miles .

Given The length of triangle ABC AB=3.5 miles , BC=6miles and AC=d

We have to find the value of d

First of all we have to draw a perpendicular from point A on side BC .

It forms two triangles ABE and AEC if E is the point where perpendicular stands on BC.

In triangle BEA

AE=[tex]\sqrt{3.5^{2} -3^{2} }[/tex]

=[tex]\sqrt{12.25-9}[/tex]

=[tex]\sqrt{3.25}[/tex]

=1.8

Now in triangle AEC

AC=[tex]\sqrt{1.8^{2} +3^{2} }[/tex]

=[tex]\sqrt{3.24+9}[/tex]

=[tex]\sqrt{12.24}[/tex]

=[tex]\sqrt{12.24}[/tex]

=3.49 MILES

By rounding off to the nearest tenth we will get 3.4 miles

Hence the value of d is 3.4 miles.

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Answer:its 7.7

Step-by-step explanation: i did it on edge

The slope equals zero and it passes through the point (x, y) = (1, −6).

Answers

Answer:

i think the answe is. y=0x-6

which is the most appropriate Venn diagram...

Answers

The most appropriate Venn diagram is known to be option b in the image shown.

What is a common multiple?

A Common multiples are known to be the multiples that are said to be common to two or that have more numbers in them.

The Least Common Multiple ( LCM ) is known to be a term that connote  the Lowest Common Multiple ( LCM ) and also that has the Least Common Divisor ( LCD).

From the image shown the lowest multiples are 5², 2⁶, 3 while the greatest common factor is 2⁶.

Option B is correct because the greatest common factor which is  2⁶ can only be found in the middle and this was gotten when you add:

2³ . 2³

Collect like terms

2 ³⁺³

2⁶

Therefore, the greatest common factor which is  2⁶

To get the  Least Common Multiple, one need to add all the factors in the Venn diagram which are therefore:

5², 2³ . 2³, 3

=5², 2 ³⁺³, 3

=5², 2⁶, 3

Therefore, The most appropriate Venn diagram is known to be option b in the image shown.

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what point is not included in the solution set for the inequality (0,6) (1,5) (2,4) (3,2) ​

Answers

Answer:

(3, 2)

Step-by-step explanation:

To be considered part of a solution set for the inequality provided, a given point must lie within the shaded region that is graphed. Since we want to find the point that is not included in the solution set for the inequality, we need to find the point that does not lie in the shaded region.

Let's test each point to see which doesn't lie in the region. Refer to the image below if you're having trouble graphing the points:

(0, 6): This point lies in the shaded region, so it is not our answer.(1, 5): This point lies in the shaded region, so it is not our answer.(2, 4): This point lies in the shaded region, so it is not our answer.(3, 2): This point does not lie in the shaded region, so it is our answer.

Hope this helps!

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I have as little superstition in me as any man living, but my secretopinion has ever been, and still is, that God Almighty will not giveup a people to military destruction, or leave them unsupported tonerish who have so earnestly and so repeatedly sought to avoid Help Me Uhm In 5th Grade I'm behind in school work and I have to finish by august when my school starts pls help I'm stuck on this question HELP ANSWER FOR 30 POINTSA cone has a volume of 24 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? 3x - 2x + 1 = [?]x=4 Read this excerpt from the passage:[26] "Oh, my poor Mathilde! How you are changed!"[27] "Yes, I have had a pretty hard life, since I last saw you, and great poverty-and that because of you!"[28] "Of me! How so?"[29] "Do you remember that diamond necklace you lent me to wear at the ministerial ball?"[30] "Yes. Well?"[31] "Well, I lost it."[32] "What do you mean? You brought it back."[33] "I brought you back another exactly like it. And it has taken us ten years to pay for it. You can understand that it was not easus, for us who had nothing. At last it is ended, and I am very glad."[34] Madame Forestier had stopped.How does the author use pacing to affect tension in this excerpt?OA. The author slows down the pace to build tension between the two women as they discuss the lost necklace.O B.The author speeds up the pace to build tension between the two women as they discuss the lost necklace.C. The author slows down the pace to ease tension between the two women as they discuss the lost necklace.D.The author speeds up the pace to ease tension between the two women as they discuss the lost necklace. Which expressions are equivalent to2 ( -6c+3) +4c Rich has been a therapist for over fifteen years and most of that time he has used an assessment tool that uses random pictures to provoke an immediate response. Rich is looking to determine anxiety and depression in individuals, so he utilized the ________ for assessment. I need help!1An ambulence is currently travelling at 15m/s and is accelerating with a constant acceleration of 5m/s^2, the ambulence is attempting to pass a car which is moving at a constant velocity of 30m/s. how far must the ambulence travel until it matches the car's velocity? Ordinal numbers must agree in terms of ____________ and ___________. What was the first animated series produced for prime-time network television? tom and jerry. Which sentence best completes the diagram? (1)One morning, when Gregor Samsa woke from troubled dreams, he found himself transformed in his bed into a horrible vermin. He lay on his armour-like back, and if he lifted his head a little he could see his brown belly, slightly domed and divided by arches into stiff sections. The bedding was hardly able to cover it and seemed ready to slide off any moment. His many legs, pitifully thin compared with the size of the rest of him, waved about helplessly as he looked.(2)"What's happened to me?" he thought. It wasn't a dream. His room, a proper human room although a little too small, lay peacefully between its four familiar walls. A collection of textile samples lay spread out on the table -Samsa was a travelling salesman - and above it there hung a picture that he had recently cut out of an illustrated magazine and housed in a nice, gilded frame. It showed a lady fitted out with a fur hat and fur boa who sat upright, raising a heavy fur muff that covered the whole of her lower arm towards the viewer.(3)Gregor then turned to look out the window at the dull weather. Drops of rain could be heard hitting the pane, which made him feel quite sad. "How about if I sleep a little bit longer and forget all this nonsense", he thought, but that was something he was unable to do because he was used to sleeping on his right, and in his present state couldn't get into that position. However hard he threw himself onto his right, he always rolled back to where he was. He must have tried it a hundred times, shut his eyes so that he wouldn't have to look at the floundering legs, and only stopped when he began to feel a mild, dull pain there that he had never felt before.Which of the following is the best summary of paragraph 3? (5 points)Group of answer choicesGregor tries to go back to sleep, but the weather keeps him up.Gregor wants to forget his trouble, but his body will not allow him.Gregor knows by the reality surrounding him that he has become a bug.Gregor wakes to realize he was dreaming about being a bug. In response to the need to reinforce the brand promise, ________ is about mixing and matching marketing activities to maximize their individual and collective effects. What is the length of side BC of the triangle?Enter your answer in the box. Find the area of the rectangle