Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in was . Assume the amounts are normally distributed with standard deviation . Use the TI-84 Plus calculator to answer the following. (a) Find the th percentile of the bill amounts. (b) Find the rd percentile of the bill amounts. (c) Find the median of the bill amounts. Round the answers to at least two decimal places

Answers

Answer 1

The 9th percentile of the bill amounts is 81.0634.

How to calculate the percentile?

Population mean, µ = 110.56

Population standard deviation, σ = 22

a) p = 0.09

Z score at p = 0.09 using excel = NORM.S.INV(0.09) = -1.3408

Value of X = µ + z*σ = 110.56 + (-1.3408)*22 = 81.0634

9th percentile = 81.0634

b) p = 0.66

Z score at p = 0.66 using excel = NORM.S.INV(0.66) = 0.4125

Value of X = µ + z*σ = 110.56 + (0.4125)*22 = 119.6342

66th percentile = 119.6342

c) Median = 0.50

Z score at p = 0.5 using excel = NORM.S.INV(0.5) = 0

Value of X = µ + z*σ = 110.56 + (0)*22 = 110.56

Median = 110.56

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Electricity Bills: According To A Government Energy Agency, The Mean Monthly Household Electricity Bill

Related Questions

The figure below shows a large rectangle with a small rectangle cut out of it.

What is the area?

Answers

Answer:

40 square units

Step-by-step explanation:

The question gives that both the large shape and the small missing shape are rectangles.  The formula for the area of a rectangle is [tex]A=bh[/tex] where "A" is the "Area", "b" is the "base" (bottom edge), and "h" is the height (side edge).

For rectangles, opposite sides (example: top & bottom) have the same length, so the top of the missing rectangle must also be 3.

To find the area of the figure, we must find the difference (subtraction) between the large rectangle (without a hole out of it) and the rectangular hole.

[tex]A_{\text{figure}}=A_{\text{large rectangle without hole}}-A_{\text{hole}}\\A_{\text{figure}}=(7)(7)-(3)(3)\\A_{\text{figure}}=49-9\\A_{\text{figure}}=40[/tex]

So, the area of the figure is 40 square units.

Answer:

40

Step-by-step explanation:

We can make a big square by making a line at the top open edge (as shown in the image attached below). We will first solve for [tex]A_{2}[/tex] and then [tex]A_{1}[/tex], and then finally solving for out answer by subtracting [tex]A_{1}[/tex] from [tex]A_{2}[/tex] .

[tex]A_{2}[/tex] is a square with side lengths of 7, so the area is 7 * 7 = 49.

[tex]A_{1}[/tex] is a smaller square with side lengths of 3, so the area is 3 * 3 = 9.

[tex]A_{2} - A_{1} = 49 - 9 = 40[/tex]

∴ Our final answer is 40

The following clues will help us identify a shape:
The shape has no right angles.
The shape has no pairs of sides of equal length.
The shape is not a triangle.
it is a circle
PLEASE MARK THIS AS THE BRAINLYEIST ANSEWER

Answers

It’s could be a quadrilaterals but I’m not 100 per cent sure

The volume of a box is 5x^3 + 20x^2 + 15x cm^3. If the height of the box is 5x cm, find the width and length of the box.

Answers

Answer:

The product of the Width and Length is x^2 + 4x + 3 cm^2.

Step-by-step explanation:

The volume of a box = 5x^3 + 20x^2 + 15x cm^3.

Volume of a Box = W*L*H       [Width(W), Length(L), and Height(H)]

W*L*(5x) = 5x^3 + 20x^2 + 15x cm^3

W*L = (5x^3 + 20x^2 + 15x cm^3)/5x cm

W*L = x^2 + 4x + 3 cm^2

We know the area of the base of the box (W*L).  It is x^2 + 4x + 3 cm^2.

To find the actual width and length, we need to know one of the variables, L or W.  Without that, all we can say is that their product (W*L) is x^2 + 4x + 3 cm^2.

1. Identify your variables using let statements.

2. Determine the equations for the linear system.

3. Determine the solution to the linear system (point of intersection)

4. Explain the meaning of the solution using a therefore statement.



You own a catering company and are in charge of an engagement party. There are two dinners: a chicken dish, which costs $40, and a lobster dish, which costs $70. The 250 party guests have ordered their meals in advance, and the total cost to prepare the dinner is $13 570. How many of each type of dinner are you preparing?

Answers

The number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

How to find the number of each type of dish.

Let

x = number of chicken dish and y = number of lobster dishHow to determine the equations for the linear system

Since it cost $40 per dish for chicken dish, the total cost of chicken dish is 40x.

Also, since it cost $70 per dish for lobster dish, the total cost of lobster dish is 70y

So, the total cost of dish is T = 40x + 70y

Also, we know that the total cost of dish is $13,570.

So, 40x + 70y = 13570  (1)

Also, there are going to be 250 guest at the dinner and thus 250 dishes.

So, the total number of dishes is x + y = 250

So, x + y = 250 (2)

So, the equations of the linear system are

40x + 70y = 13570  (1)

x + y = 250 (2)

How to determine the solution for the linear system

Since

40x + 70y = 13570  (1)

x + y = 250 (2)

From (2), x = 250 - y

Substituting x into (1), we have

40x + 70y = 13570  (1)

40(250 - y) + 70y = 13570  (1)

10000 - 40y + 70y = 13570  

30y = 13570 - 10000

30y = 3570

y = 3570/30

y = 119

Substituting y = 119 into x, we have

x = 250 - y

x = 250 - 119

x = 131

Therefore, the number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

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Solve the system of equations: 3x + 6y=6 and 2y - 3x = 6.

Answers

Answer:

x = -1, y = 1.5

Step-by-step explanation:

3x + 6y = 6 -----> x + 2y = 2

-3x + 2y = 6 -----> -3x + 2y = 6

------------------

4x = -4

x = -1, y = 1.5

please help me ill give 10 points

Answers

Answer:

y=160

Step-by-step explanation:

y=90+14(x)

x=5

y=90+14(5)

y=90+70

y=160

Hope this helps!

If not, I am sorry.

y = 3x - 5.1, (-1.2, -3.1)

Answers

Answer:

This point is not on the line, NOT TRUE

Step-by-step explanation:

The equation of the line is written in the slope-intercept form,

y = mx + b

where m represents the slope

          b represents the y-intercept

where the format of a point is (x, y)

Given: y = 3x - 5.1, (-1.2, -3.1)

we can plug in the point (-1.2, -3.1)

-3.1 = 3(-1.2) - 5.1

-3.1 = -3.6 - 5.1

-3.1 = -8.7

-3.1 does not equal -8.7 so this point is not on the line

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Which of the following statements are true about the graph of f(x) = 6(x + 1)²-9?
Check all of the boxes that apply.
The vertex is (1, -9).
The graph opens upward.
The graph is obtained by shifting the graph of f(x) = 6(x + 1)² up 9 units.
The graph is narrower than the graph of f(x) = x².
The graph is the same as the graph of f(x) = 6x² + 12x-3.
RETRY

Answers

This is false - the vertex is (-1, -9).This is true - the coefficient of x² is positive, meaning that the graph opens upward.This is false - the graph is obtained by shifting down 9 units.This is true - the coefficient of x² is greater for f(x)=6(x+1)² - 9 compared to f(x) = x².This is true - upon expanding, we get f(x) = 6x² + 12x -3.

The World Health Organization lists the following overall literacy rates per 100 people for countries. Which answer choice includes all countries with literacy rates above 90%?

Answers

Answer:

The answer is D

Cuba, Poland, U.S., Argentina, Turkey, and Spain

Step-by-step explanation:

Basically, what it was asking, is what countries are over 90%? So, all you have to do - to put it simply - is just look at the countries that's numbers are greater than 90%

Calculate the area of the Parallelogram.


I will mark as brainliest, Please help quick!

Answers

Answer:

A = 42 cm²

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

here b = 6 and h = 7 , then

A = 6 × 7 = 42 cm²

Use trigonometry to find the height of the triangle. Then use the height to find the area. Round to the nearest hundredth

Answers

Answers:

height = 4.46 units

area = 26.73 square units

Both values are approximate

===========================================================

Explanation:

h = height of the triangle

Focus on the smaller triangle on the left.

Use the cosine ratio to find h

cos(angle) = adjacent/hypotenuse

cos(27) = h/5

h = 5*cos(27)

h = 4.4550326 approximately

Your calculator needs to be in degree mode.

We can now find the area of the overall largest triangle.

area = 0.5*base*height

area = 0.5*12*4.4550326

area = 26.7301956

area = 26.73

Answer with a step-by-step explanation:

1) First, let us find the height of the triangle.

For that let us use cos theta to find the triangle's height.

Let us use the below formula to find it.

cos Θ = Adjacent ÷ hypotenuse

Let the height (adjacent ) be h.

Let us find it now.

cos Θ = Adjacent ÷ hypotenuse

cos 27° = h ÷ 5

0.8910 = h ÷ 5

0.8910 × 5 = h

4.455 = h

Therefore the height of the triangle is 4.455 units.

                                                                                                       

2) And now let us find the area of the triangle.

The formula to find the area of a triangle is:

Area =  [tex]\frac{1}{2}[/tex] × base × height

Let us find it now.

A =  [tex]\frac{1}{2}[/tex] × base × height

A =  [tex]\frac{1}{2}[/tex] × 12 × 4.455

A =  [tex]\frac{1}{2}[/tex] × 53.46

A = 26.73 units²

Pls solve with working out. Ok thanks

Answers

Answer:

AB and CD have the same midpoint, therefore they bisect each other.

Step-by-step explanation:

Find the midpoint of AB. Then, find the midpoint of CD. They are the same. The segments bisect each other. See image.

what is the correct arangement of 3-6x-2x^2+3x-6x^2+2

Answers

Answer:

-8x²-3x+5

Step-by-step explanation:

First, add like terms.

3-6x-2x²+3x-6x²+2=

= 5-3x-8x²

Put it in standard form. To put in standard form, put the exponent from greatest to least.

-8x²-3x+5.

Hope this helps!

If not, I am sorry.

There are 19 animals on the farm which contains hens and goats. There are 68 legs in total. How many goats are there on the farm?

Answers

Answer: 15 goats

Step-by-step explanation:

h = hens - they have 2 legs

g = goats - they have 4 legs

The equations would be:

h + g = 19

2h + 4g = 68

To solve this, I personally prefer substitution, we're isolating h since we need to find g:

h + g = 19

h = 19 - g

Now that we have h, we can plug this into the second equation:

2h + 4g = 68

2(19 - g) + 4g = 68

38 - 2g + 4g = 68

2g = 30

g = 15

There are 15 goats.

Adding onto this, 19 - 15 = 4, so there are 4 hens.

7 times 36 = 21 times ?

help needed asap :)

Answers

Answer:

7*36=21*x

252=21x

x=12

Hope it helps!

Answer:

12

Step-by-step explanation:

Let x be the unknown number.

Method 1

[tex]\implies \sf 7 \times 36 = 21 \times x[/tex]

[tex]\implies \sf 252 = 21x[/tex]

[tex]\implies \sf \dfrac{252}{21} = \dfrac{21x}{21}[/tex]

[tex]\implies \sf 12=x[/tex]

[tex]\implies \sf x=12[/tex]

Method 2 (using mental arithmetic)

[tex]\implies \sf 7 \times 36 = 21 \times x[/tex]

As 7 and 21 are both multiples of 7, divide both sides by 7:

[tex]\implies \sf 36=3x[/tex]

Divide both sides by 3:

[tex]\implies \sf 12=x[/tex]

[tex]\implies \sf x=12[/tex]

Which equation best describes this line?

Answers

The answer is probably C

PLEASE ANSWER ASAP ACTUALLY ANSWER PLEASE AS SOON AS YOU CAN PLEASE I NEED IT
Graph the quadratic equation. Zoom and pan your graph to establish an appropriate viewing window.
X^2 + 2x - 24 = 0

Answers

Step-by-step explanation:

x=4,-6

im pretty sure this is correct

Two taps, *A* and *B* are of different sizes. Tap A fills a container with water in 3 minutes and Tap B fills the same container in 5 minutes. How much time Will it take if both the taps are turned on at the same time.
answer with working​

Answers

On its own tap A fills 1/3 of the container each minute.
On its own tap B fills 1/5 of the container each minute.
Both taps together will fill 1/3 + 1/5 = 5/15 + 3/15 = 8/15 of container per minute.
Filling the whole container using both taps will take 15/8 minutes = 1 7/8 minutes = 1 min 52.5 secs

this answer doesnt't answer my question

IT IS WRONG!!!!!!!!!


There is a bag filled with 3 blue and 5 red marbles.

A marble is taken at random from the bag, the colour is noted and then it is replaced.

Another marble is taken at random.

What is the probability of getting 2 blues?



answer this properly please

Answers

Let me guess you’re doing acellus!! Use air math it helped me too

someone please help me w this standard form question​

Answers

Answer:

2.4 × 10⁶

Step-by-step explanation:

Given:

[tex]\sf x=3.8 \times 10^5[/tex][tex]\sf y=5.9 \times 10^4[/tex]

To calculate the value of R, substitute the given values into the given formula:

[tex]\begin{aligned}\sf R & = \sf \dfrac{x^2}{y}\\\\ \implies \sf R& = \sf \dfrac{(3.8 \times 10^5)^2}{5.9 \times 10^4}\\\\& = \sf \dfrac{3.8^2 \times (10^5)^2}{5.9 \times 10^4}\\\\& = \sf \dfrac{14.44 \times 10^{10}}{5.9 \times 10^4}\\\\& = \sf \dfrac{14.44}{5.9} \times \dfrac{10^{10}}{10^4}\\\\& = \sf 2.4474... \times 10^{(10-4)}\\\\& = \sf 2.4474... \times 10^6\\\\\end{aligned}[/tex]

Therefore, the value of R to 1 decimal place is 2.4 × 10⁶

--------------------------------------------------------------------------

Exponent Rules used

[tex](a^b)^c=a^{bc}[/tex]

[tex]{a^b}{a^c}=a^{b-c}[/tex]

[tex]R = \frac{ {x}^{2} }{ y} \\ \\ R = \frac{ {(3.8 \times {10}^{5})}^{2} }{5.9 \times {10}^{4} } \\ \\ R = \frac{ ({3.8})^{2} \times ( { {10}^{5} )}^{2} }{5.9 \times {10}^{4} } \\ \\ R = \frac{14.44 \times {10}^{10} }{5.9 \times {10}^{4} } \\ \\ R = \frac{14.44 \times {10}^{10 - 4} }{5.9} \\ \\ R = 2.45 \times {10}^{6} [/tex]

Which expression is equivalent to
(Q^5)^2

Answers

The correct value that equates to this expression is q¹⁰

.

To solve this expression, just:

eliminate the parentheses and multiply the exponents among themselves;[tex] \boxed{ \large \sf (a {}^{n} ) {}^{m} \rightarrow a {}^{n \times m} } \\ \\ [/tex]Resolution

[tex]{ = \large \sf (q {}^{5} ) {}^{2} } [/tex]

[tex]{ = \large \sf q {}^{5 \times 2} } [/tex]

[tex] \pink{ \boxed{ = \large \sf q {}^{10} } } \\ [/tex]

Therefore, the answer will be q¹⁰

Answer:

Q¹⁰

Step-by-step explanation:

Given that,

(Q⁵)^2

Solution:

Well,there is a law of exponents,which states that:

(a^b)^c = a^bc

Same case is here as well.

Just multiply both powers given.

(Q⁵)²

5*2 = 10

Q¹⁰

Hence, the expression equivalent to (Q⁵)² is (Q)¹

If sin(theta) = 4/7, what is cos(theta)? PLEASE HELP!

Answers

Step-by-step explanation:

sin(theta)=4/7

cos(theta)=√1-sin²theta

=√1-(4/7)²

=√1-16/49

=√(49-16)/49

= √33/49

=(√33)/7

Mikaela and Viktoria both competed in a curling match on opposing teams. Mikaela
said to Viktoria, "2 more than twice my team's score is the
same as three times your team's score reduced by 3." If
Viktoria's team's score was 7, what was Mikaela's team's
score?

Answers

Answer:

Mikaela's team scored 5.3 points, in whole number form 5.

Step-by-step explanation:

If Viktoria's team's score was 7, 2 more than twice is (7*2) +2.

(7*2)+2=16

16 is three times Mikaela's team's score. Reduced by three means just to divide.

16/3=5.3

Mikaela's team scored 5 points.

Hope this helps!

If not, I am sorry.

Answer:

8

Step-by-step explanation:

Make it into an equation.

2x+2=(3x7)-3

2x+2=21-3

2x+5=21

2x=16

x=8

8

The coordinates of the vertices of △ABC are A(−2,2), B(5,−3), and C(−4,−1). Identify the perimeter of △ABC. Round each side length to the nearest tenth before adding.

Answers

The perimeter of the triangle is 21.4 units

How to determine the perimeter?

The points are given as:

A(−2,2), B(5,−3), and C(−4,−1)

Calculate the side lengths using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]

So, we have:

[tex]AB = \sqrt{(-2 -5)^2 + (2 + 3)^2} = 8.6[/tex]

[tex]AC = \sqrt{(-2 +4)^2 + (2 + 1)^2} = 3.6[/tex]

[tex]BC = \sqrt{(5+4)^2 + (-3 + 1)^2} = 9.2[/tex]

The perimeter is then calculated as:

P = AB + AC + BC

This gives

P = 8.6 + 3.6 + 9.2

Evaluate

P = 21.4

Hence, the perimeter of the triangle is 21.4 units

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For her class, Mrs. Norman bought 31 student tickets and 32 adult tickets, which cost a total of $854. Mr. Horton spent $837, getting 31 student tickets and 31 adult tickets. What is the price for each type of ticket?

Answers

Answer:

Each student ticket costs $10, and each adult ticket costs $17.

Step-by-step explanation:

Let s represent the cost of a student ticket and a represent the cost of an adult ticket.

31s + 32a = 854

31s + 31a = 837

----------------------

a = 17

31s + 31(17) = 837

31s + 527 = 837

31s = 310, so s = 10

if c = 10 then the value of a is…

Answers

Answer:

5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Special right triangles, such as the one shown, have unique equations that can be used to find missing sides.

30-60-90 Triangles

The angle measurements show us that this is a 30-60-90 triangle. This name refers to the 3 angle measurement. There are 2 types of special right triangles, 45-45-90 and 30-60-90. For most triangles, it would take the law of sine or cosine to find a missing side with only 1 side given. But, with special right triangles, we can use shortcuts to find a.

Formulas

For all 30-60-90 triangles, there are 3 sides: the hypotenuse (c), the long leg (a), and the short leg (b). The shortcuts for 30-60-90 triangles are based on the length of the short leg.

The formulas are as follows (the variables match the variable given in the figure):

c = 2bb = 0.5ca = b[tex]\sqrt{3}[/tex]

Solving for a

So, to find a, we must first find b. Since b is equal to half of c, we can divide the value of c by 2.

10/2 = 5

Thus, b = 5

Next, plug this value into the formula for b

a = 5[tex]\sqrt{3}[/tex]

Answer:

Last option

Step-by-step explanation:

cos30° = a/10  

a = 10cos30°

     [tex]cos30=0.8660=\frac{\sqrt{3} }{2}[/tex]

[tex]a=10(\frac{\sqrt{3} }{2} )=5\sqrt{3}[/tex]

Hope this helps

16
Select the correct answer from each drop-down menu.
4
Each participant tastes snack A and snack B and then chooses their favorite. Some participants have eaten snack A before and some have not
The results of the test are shown in a table. Using the data in a table, the company that makes snack A calculates probabilities related to a
random selected person.
Has Eaten Snack A
before
Prefers Snack A
144
2 Edmentum. All rights reserved.
Type here to search
Prefers Snack B
Has Not Eaten
108
Snack A before
Total
252
320
Complete the conclusions based on the data in the table.
92
O
228
Total
236
Given a person who has eaten snack A before, the customer will
Given a person who has not eaten snack A before, the customer will want to eat snack
Reset
336
572
Next
75°F Sunny A
ave & Exit
6:46 AM
6/30/2022

Answers

The conditional probability values are 0.57 and 0.43

Missing information

               Has Eaten before   Have not           Total

Snack A     144                               108                252

Snack B      92                               228                320

Total          236                              336                572

Using the data in a table, the company that makes snack A calculates probabilities related to a random selected person.

Given a person who has eaten snack A before, the customer will want to eat snack AGiven a person who has not eaten snack A before, the customer will want to eat snack

How to determine the probabilities?

The required probabilities are conditional probabilities, and they are calculated using:

P(A | B) = P(A and B)/P(B)

Using the above formula, we have:

The probability that a customer eats snack A given that the customer has eaten snack A before, to be:

P = n(Have eaten snack A)/n(Snack A)

This gives

P = 144/252

Evaluate

P = 0.57

Also, we have:

The probability that a customer eats snack A given that the customer has not eaten snack A before, to be:

P = n(Have not eaten snack A)/n(Snack A)

This gives

P = 108/252

Evaluate

P = 0.43

Hence, the probabilities are 0.57 and 0.43

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What is the slope of a line that is parallel to the line y 3/4x+2

Answers

Answer:

-4/3

Step-by-step explanation:

mtan × mline = -1

mtan× 3/4 = -1

mtan =-4/3

Skf theatre bought a movie license for rs. 1,500 per week. the cost of keeping the stuff and the hall is rs. 20,000 per month. if they charge rs. 10 per seat, then how many people would have to see the movie in the first four weeks in order for them to recoup the costs?

Answers

Answer:

21500

Step-by-step explanation:

21500 people would have to see the movie to recuperate their losses.

The number of people would have to see the movie is given by the equation A = 2600 people

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of people to see the movie in first four weeks be A

Now , the equation will be

The cost of movie license per week = ₹ 1500

The cost of movie license per month = 4 x ₹ 1500

The cost of movie license per month = ₹ 6000

And ,

The cost of keeping the stuff and hall for a month = ₹ 20,000

So ,

The cost of movie license and the hall for a month = 20,000 + 6000

The cost of movie license and the hall for a month = ₹26,000

The cost of charge of each seat = ₹ 10

So , the number of people to see the movie in the first four weeks in order for them to recoup the costs A = cost of movie license and the hall for a month / cost of charge of each seat

Substituting the values in the equation , we get

Number of people to see the movie in first four weeks A = 26000/10

Number of people to see the movie in first four weeks A = 2600 people

Hence , the number of people is 2600 people

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Angle QRS is bisected by ray RP. If angle QRP is 60 degrees, what would be the measure of angle QRS?​

Answers

Answer:

6779

Step-by-step explanation:

69

Other Questions
Present your views on the following statement: 3. " Pb + 02 - Pb304 help If Microsoft were to dominate the entire software industry, effectively eliminating all other competitors, then Microsoft would be seen in economic terms as (a/an) Evaluate:100 4(1)n-1 = [?]Round to the nearest hundredth.Enter If washburn guitars were to lower the price of the maya pro dd75 to $2,499 from $2,699, sales of the guitar would increase 30 percent. This illustrates:. The perimeter of a rectangle is 32 inches. The length is 1 foot, what is the width of the rectangle in inches? What is the area of the rectangle below For the given equation, find the values of a, b, and c, determine the direction in whichand determine the y-intercept. Decide which table best illustrates these values for the equationf(x) = -9x +7x In which direction must the graph of f(x) = x be shifted to produce the graph of g(x) = x 6? A geographer would most likely use acities.O A. thematic mapB. physical mapOC. political mapOD. global mapto study a location's countries and in his speech from the previous chapter, president reagans voice was damaged by his use of large vocabulary words and flowery language Edgar runs 8/9 of a mile each day. what is the total distance that edgar runs in a 5-day week? The great circulations in the ocean basins occur around the _______ pressure systems and are known as __________. Help my son please!!! A student hears a police siren. What would change the frequency that the student hears? check all that apply. Two linear equations are shown.C654321466y=1/3x+2y=4/3x-5What is the solution to the system of equations?O (7.4)0 (7.33)O0 (8)OO (9.7) IMPORTANT, PLEASE HELP QUICKLY! 15 POINTSExplain how to factor the expression q(x)=9x224x+16 to the expression q(x)=(3x4)2 . You may show your work. Be sure to include a detailed explanation of your steps. please solve this question Each branch of government exercises some control over the other . Find the general solution tody/dx= 49y. Enter your answer as an equation y = ..Note: dy/dx=k^2y