HELP PLS ASAPPP!!!

algebra problem; solving linear inequalities !!! :)

HELP PLS ASAPPP!!!algebra Problem; Solving Linear Inequalities !!! :)

Answers

Answer 1

Answer:  x = -3/2

Step-by-step explanation:

Answer 2
[−3,∞) this is the correct answer using interval notation

Related Questions

Supplementary angles

Answers

The angle that is supplementary to the angle DEA is angle DEC

Finding the angle that is supplementary to the angle DEA

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

The lines HF and CAThe transversal line GE

Also from the question, we have

Angle = DEA

As a general rule;

Two angles are said to be supplementary if their sum add up tp 180 degrees

This means that the angles are on a straight line

The angle are on the same straight line with ange DEA is DEC

Hence, the angle is angle DEC

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Which of the following equations represents a line that is perpendicular to the line that passes through the points below?
(-3,10) (3,8)

Answers

The equation of the line that is perpendicular to the line passing through the points (-3, 10) and (3, 8) is y = 3x + 9.

To find a line that is perpendicular to another line, we need to use the fact that the slopes of the two lines are negative reciprocals of each other.

The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the slope formula:

slope = (y₂ - y₁)/(x₂ - x₁)

Therefore, the slope of the line passing through the points (-3, 10) and (3, 8) can be found as follows:

slope = (8 - 10)/(3 - (-3)) = -1/3

Now, to find the equation of a line perpendicular to this line, we need to find the negative reciprocal of the slope -1/3, which is 3.

Therefore, the slope of the line perpendicular to the given line is 3.

Now, we can use the point-slope form of a linear equation to find the equation of the perpendicular line. The point-slope form of a linear equation is:

y - y₁ = m(x - x₁)

where m is the slope of the line, and (x₁, y₁) is any point on the line.

We know the slope of the perpendicular line is 3, and we can choose any point on the line. Let's choose the midpoint of the given points (-3, 10) and (3, 8), which is

=> ((-3+3)/2, (10+8)/2) = (0, 9).

So, using the point-slope form of the equation with m = 3 and (x1, y1) = (0, 9), we get:

y - 9 = 3(x - 0)

Simplifying this equation, we get:

y = 3x + 9

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It takes Sam 40 minutes to jog 5 kilometers. How far can he jog in 60 minutes?

Answers

Answer:

7.5 kilometers

Step-by-step explanation:

[tex]\frac{40}{5}[/tex] = [tex]\frac{60}{x}[/tex]

[tex]\frac{40}{5}[/tex] can be simplified to 8

8 = [tex]\frac{60}{x}[/tex]  Multiply both sides by x

8x = 60  Divide both sides by 8

[tex]\frac{8x}{8}[/tex] = [tex]\frac{60}{8}[/tex]

x = 7.5

Helping in the name of Jesus.



a. ¿Cuál es el pago mensual de la hipoteca a 25 años, de $200,000 al 4% al primer centavo?

Answers

El pago mensual de la hipoteca a 25 años, de $200,000 al 4% al primer centavo, es de $1,051.81.

Which of the following is true for the traditional economy?

Answers

Answer:

They barter, or trade (without using money). Economic systems are based on customs, traditions, and beliefs of the past.

Step-by-step explanation: -

is 400% of 2 less than 10, greater than 10 but less than 100, or greater than 100?

Answers

Answer:

400% of 2 is 8, so it would be less than 10

Step-by-step explanation:

To find out if 400% of 2 is less than 10, greater than 10 but less than 100, or greater than 100, we need to calculate 400% of 2, which is:

(400/100) x 2 = 8

So, we know that 400% of 2 is 8.

Since 8 is less than 10, we can say that 400% of 2 is less than 10.

The length of a rectangle is 2x+ 5 units and the width is 7x+ 1 units. Find the area of the rectangle.

Answers

(2x+5)(7x+1)
2x*7x, 2x*1, 5*7x, 5*1
Simplify,
14x^2+2x+35x+5
Simplify,

14x^2+37x+5




Solve the system of equations.

y = 2 - 6x

1/2y - x = 1

Question 4 options:

(0,-2)


(2,0)


(-2,0)


(0,0)


(1,-4)

Answers

Answer:

Step-by-step explanation:

We can start by solving the second equation for y:

1/2y - x = 1

1/2y = x + 1

y = 2x + 2

Now we can substitute this expression for y into the first equation:

y = 2 - 6x

2x + 2 = 2 - 6x

Adding 6x to both sides, we get:

8x + 2 = 2

Subtracting 2 from both sides, we get:

8x = -0

Dividing both sides by 8, we get:

x = 0

Now we can use this value of x to find y:

y = 2x + 2

y = 2(0) + 2

y = 2

Therefore, the solution to the system of equations is x=0 and y=2.

FIND THE SUM OF GEOMETRIC SERIES 3+2.55+2.1675+1.842375+...

Answers

The sum of geometric series 3+2.55+2.1675+1.842375+...

Hence, the correct option is B.

To find the sum of a geometric series, we can use the formula

S = a(1 - [tex]r^{n}[/tex]) / (1 - r)

Where

S = sum of the geometric series

a = first term of the series

r = common ratio of the series

n = number of terms in the series

In this case, we can see that the first term is 3 and the common ratio is 2.55/3 = 0.85. We can also see that there are an infinite number of terms in the series.

Using the formula for an infinite geometric series, we can simplify the formula to

S = a / (1 - r)

By putting these values we have, we get

S = 3 / (1 - 0.85) = 20.

Hence, the sum of the geometric series is 20.

Hence, the correct option is B.

The question is incomplete and the complete question is '' FIND THE SUM OF GEOMETRIC SERIES 3+2.55+2.1675+1.842375+...

A. 8

B. 20

C. 12

D. 4 ''

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Lauren over-filled the homemade pecan pie that she was baking for Thanksgiving, so the pie needed additional cooking time. Lauren decided to place a strip of aluminum foil around the edge of the crust so that it would not burn. If Lauren used a pie pan with a 12-inch diameter, how long, to the nearest inch, should the strip of foil be?

A. 19 inches
B. 24 inches
C. 113 inches
D. 38 inches

Answers

Applying the circumference formula, the strip of aluminum foil should be about 38 inches long, which corresponds to answer choice D.

How to Calculate Circumference?

To determine the length of the aluminum foil strip, we need to find the circumference of the pie pan, which is the distance around the edge of the pan.

The formula for the circumference of a circle is:

C = 2πr

where C is the circumference, π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle (which is half the diameter).

Since the pie pan has a diameter of 12 inches, the radius is 6 inches. Therefore:

C = 2π(6)

C ≈ 37.7 inches

This is approximately, D. 38 inches.

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The measurements of the angles of a triangle have a ratio of 4:5:6. What are the three angle measurements? Classify the triangle by its sides and its angles.

please help with 21-24

Answers

The three angles of the triangle are 48 degrees, 60 degrees, and 72 degrees and it is a acute triangle.

The three angles of the triangle 4x, 5x, and 6x, where x is a constant of proportionality.

We know that the sum of the angles of a triangle is always 180 degrees, so we can set up an equation:

4x + 5x + 6x = 180

Simplifying, we get:

15x = 180

Dividing both sides by 15, we get:

x = 12

So the three angles of the triangle are:

4x = 4(12) = 48 degrees

5x = 5(12) = 60 degrees

6x = 6(12) = 72 degrees

all three angles are less than 90 degrees, the triangle is an acute triangle.

Therefore, the three angles of the triangle are 48 degrees, 60 degrees, and 72 degrees and it is a acute triangle.

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Eulerize this graph in the most efficient way possible, considering the weights of the edges.

Answers

We can eulerize this graph in the most efficient way possible by making these vertices have even degree through  adding  an edge between them.

How do we Eulerize a graph?

We can Eulerize a graph by ensuring  to add edges to the graph in a way that preserves its connectivity while ensuring that all vertices have even degree.

A good method to do this is by  adding  edges between pairs of vertices that have odd degree until all vertices have even degree.

In the scenario above,  all the  vertices have odd degree except for the first and last vertices. To make these vertices have even degree, we go ahead and add an edge between them.

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Compare the numbers with
>, <, =.
69
-0.43
- 4
-2.3

Answers

Answer:

-4 < -2.3 < -0.43 < 69

Step-by-step explanation:

If you look at a number line,

-4 is the first to come and as we approach 0, it's -2.3 and then -0.43. After 0 is only 69 leftover.

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Phil owns a ranch business and uses four-wheelers to do much of his work. Occasionally, though, he and his boys will go for a ride together as a family activity. During year 1, Phil put 1,124 miles on the four-wheeler that he bought on January 15 for $12,800. Of the miles driven, only 274 miles were for personal use. Assume four-wheelers qualify to be depreciated according to the five-year MACRS schedule and the four-wheeler was the only asset Phil purchased this year. (Use MACRS Table 1, Table 2, Table 3, Table 4 and Table 5.) (Do not round intermediate calculations. Round your final answers to the nearest whole dollar amount.) b. Calculate the allowable depreciation for year 2 if total miles were 1,610 and personal-use miles were 760 (ignore the §179 expense and bonus depreciation).

Answers

Phil owns a ranch business and uses four-wheelers to do much of his work the allowable depreciation for year 2 is $4,096.

To calculate the allowable depreciation for year 2, we need to determine the depreciation basis of the four-wheeler and then apply the appropriate MACRS depreciation rate.

The depreciation basis is the original cost of the asset minus any Section 179 expense deduction and any bonus depreciation claimed.

Since we are ignoring these deductions in this case, the depreciation basis is simply the original cost of the four-wheeler:

Depreciation Basis = $12,800

To determine the MACRS depreciation rate for year 2, we need to consult Table 2 from the MACRS tables, which gives the percentage rates for assets in the 5-year class for each year of the recovery period. According to Table 2, the depreciation rate for year 2 is 32%.

Using this information, we can calculate the allowable depreciation for year 2 as follows:

Depreciation for Year 2 = Depreciation Basis × MACRS Depreciation Rate for Year 2

Depreciation for Year 2 = $12,800 × 32%

Depreciation for Year 2 = $4,096

Therefore, the allowable depreciation for year 2 is $4,096.

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25.
What is the height of a box if the width is x + 1, the length is x + 3, and the volume is x3 + 6x2 + 11x + 6? (Hint: Recall
that V= (wh.)
Ox+2
none of the answer choices
O-x-2
O x-2
-x+2
0

Answers

The height of box for the given cuboid satisfied the relation through which the volume of cuboid is satisfied is,  height = x+2

What about volume of cuboid?

A cuboid is a three-dimensional shape that has six rectangular faces, where each face has four sides and four right  angles. The volume of a cuboid is the amount of space that it occupies in three-dimensional space. It is measured in cubic units.

The formula to calculate the volume of a cuboid is given by multiplying its length, width, and height.

Volume of cuboid = Length x Width x Height

The volume of a cuboid can be used to determine the amount of space that it can hold or the amount of material required to fill it.

The volume of a cuboid can be calculated by multiplying its length, width, and height.

If the length of the cuboid is represented by "l", the width by "w", and the height by "h", then the volume can be calculated using the formula:

Volume of cuboid = l x w x h

According to the given information:

As, we know that the volume of cuboid = length x breath x height

Given volume of cuboid is = [tex]x^{3} + 6x^{2} +11x^{} + 6[/tex]

And width = x + 1 and length = x + 3.

Volume of cuboid = length x breath x height

⇒ [tex]x^{3} + 6x^{2} +11x^{} + 6[/tex] = (x + 1)(x + 3) x height

⇒ height = [tex]\frac{x^{3} + 6x^{2} +11x^{} + 6}{(x+1)(x+3)}[/tex]

⇒ height = [tex]\frac{(x+1)(x+2)(x+3)}{(x+1)(x+3)}[/tex]

⇒ height = (x+2)

So, the height of the given cuboid is (x+2)

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Calculate how far up the wall the ladder reaches​

Answers

The maximum height of the ladder on the wall is given as follows:

h = 8.7 m.

What are the trigonometric ratios?

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

Sine of angle = length of opposite side to the angle divided by the length of the hypotenuse.Cosine of angle = length of adjacent side to the angle divided by the length of the hypotenuse.Tangent of angle = length of opposite side to the angle divided by the length of the adjacent side to the angle.

For the angle of 60º, the parameters are given as follows:

Adjacent side: 5 m.Opposite side: maximum height.

Hence the maximum height is obtained as follows:

tan(60º) = h/5

h = 5 x tangent of 60 degrees

h = 8.7 m.

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Based on this equation, estimate the rating of chips whose cost is $1.10.
Round your answer to the nearest hundredth.

Answers

The estimated rating of chips whose cost is $1.10 is 2.25.

Estimating the rating of chips whose cost is $1.10.

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

y = 2.5x - 0.5

To estimate the rating of chips whose cost is $1.10, we can substitute x = 1.10 into the equation y = 2.5x - 0.5 and solve for y.

y = 2.5x - 0.5

y = 2.5(1.10) - 0.5

y = 2.75 - 0.5

y = 2.25

Therefore, the estimated rating of chips whose cost is $1.10 is 2.25. Rounded to the nearest hundredth, it is 2.25.

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A washer and a dryer cost $949 combined. The washer costs $99 more than the dryer. What is the cost of the dryer?

Answers

Step-by-step explanation:

Subtract the 99 from 949 then    divide by 2

949-99= 425 dollars = price of dryer

( then washer is  425 + 99 )

It's illegal to bet on political races in the United States, but overseas betting on American elections is common. As of this writing, Hillary Clinton is the favorite to win the presidency in 2016, with odds listed as 8/11. Explain what that means, including relating it to probability.

Answers

Odds are a measure of the likelihood of an event occurring. In the case of betting on an event, odds represent the ratio of the payout for a winning bet to the amount of the bet. So, in this case, odds of 8/11 mean that if you were to bet $11 on Hillary Clinton winning the presidency and she did win, you would get a payout of $8, plus your original $11 bet.

To relate this to probability, you would calculate the implied probability of the odds. This is a simple calculation:

Implied probability = (1 / (odds + 1)) x 100%

Using the odds of 8/11 for Hillary Clinton, the implied probability would be:

(1 / (8/11 + 1)) x 100% = 57.89%

So, according to these odds, there is a 57.89% chance that Hillary Clinton will win the presidency.

Answer:

57.89%

Step-by-step explanation:

Implied probability = (1 / (odds + 1)) x 100%

Using the odds of 8/11 for Hillary Clinton:

Implied probability = (1 / (8/11 + 1)) x 100% = 57.89%

There is a 57.89% chance that Hillary Clinton will win the presidency.

How many pounds of almonds priced $5.35 per pound should be mixed with peanuts worth $3.75 per pound in order to obtain 20 pounds of mixture that will sell for $4.50 per pound?

Answers

Answer:

9.375 pounds of almonds with 10.625 pounds of peanuts

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

To solve this problem, we can use a system of equations with two variables:

x = pounds of almonds at $5.35,y = pounds of peanuts at $3.75.


We have two equations based on the given information:

1) x + y = 20 (total pounds of the mixture)2) 5.35x + 3.75y = 4.50 * 20 (total cost of the mixture)

Solve the first equation for x:

x = 20 - y

Substitute the expression for x into the second equation:

5.35(20 - y) + 3.75y = 90

Simplify and solve for y:

107 - 5.35y + 3.75y = 90-1.60y = -17y = 10.625

Substitute the value of y back into the expression for x:

x = 20 - 10.625x = 9.375

So, you should mix 9.375 pounds of almonds with 10.625 pounds of peanuts to obtain 20 pounds of mixture that will sell for $4.50 per pound.

Answer:

Step-by-step explanation:

You should mix 9.375 pounds of almonds with 10.625 pounds of peanuts to obtain 20 pounds of mixture that will sell for $4.50 per pound.

What meaning of the statement this?

Answers

The meaning of the given statement is concept of a cyclic subgroup in group theory.

What is cyclic group?

In group theory, a cyclic group is a group that can be generated by a single element. That is, it is a group that is generated by a single element a, where any element of the group can be expressed as a power of a.

The order of a cyclic group is equal to the order of its generator. If the generator has order n, then the cyclic group has n elements. The group operation in a cyclic group can be either additive or multiplicative, depending on the notation used.

The statement defines a cyclic subgroup is a subgroup of a group that is generated by a single element. The element used to generate the subgroup is called the generator of the cyclic subgroup. The set of all powers of the generator, including the inverse powers and the identity element, forms the cyclic subgroup.

In other words, the cyclic subgroup generated by an element a of a group is the smallest subgroup that contains a. It consists of all possible combinations of a and its inverse under the group operation.

A group or subgroup is called cyclic when it can be generated by a single element. In other words, if every element of the group can be expressed as a power of a single element, then the group is cyclic.

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1. 7/8 + 1 1/4
2. 1 2/6 + 2 3/8
3. 2 3/4 + 1 1/6
4. 2 2/7 - 1

Answers

Answer:

1. 17/8   2. 89/24   3. 47/12   4. 9/7

Answer:

1) 29

2) 57

3) 91

4) 15

Step-by-step explanation:

1) 7/8 + 11/4

find lcm

lcm=8

multiply through by 8

8×7/8+8×11/4

Gives: 7 + 22

 =29

2) 12/6+ 11/4

lcm=12

multiply through by 12

12× 12/6 + 12× 11/4

 24 + 33

 =57

3) 23/4 + 11/6

lcm=12

multiply through by 12

12× 23/4 + 12× 11/6

 =69 +22

 =91

4) 22/7 - 1

lcm=7

multiply through by 7

7 ×22/7 - 7 ×1

22-7

=15

the expression 30 x squared - 100x - 60 and (5x-20) (6x+3) define the same function f. Which expression makes it easier to find f of 0

Answers

Answer The expressions and define the same function, . 1. Which expression makes it easier to find ? Explain your reasoning. 2. Find . 3. Which expression makes it easier to find the values of that make the equation true? Explain or show your reasoning. 4. Find the values of that make .
question-amp-image




Explaining

Rajindri, a physician assistant who works in an emergency room, earns $163 for every two hours that she works.

Which equation represents the relationship between d, the number of dollars Rajindri earns, and t, the amount of time Rajindri works, in hours?

A. d= 163 + t

B. d= 163/2 × t/2

C. d= 163t

D. d= 81.50t

Answers

Answer:

C. d= 163t represents the relationship between d, the number of dollars Rajindri earns, and t, the amount of time Rajindri works, in hours. This is because Rajindri earns $163 for every two hours that she works, which means she earns $81.50 for each hour that she works. Therefore, the equation that relates the number of dollars earned to the number of hours worked is d = 163t.

Step-by-step explanation:

A set of data items is normally distributed with a mean of 70 and a standard deviation of 8. Convert 70 to a z-score.

z70=
(Do not round until the final answer. Then round to the nearest hundredth as needed.)

Answers

When 70 to a z-score, the resulting z-score is 0

Converting 70 to a z-score.

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

Mean = 70

Standard deviation = 8

Score = 70

To convert 70 to a z-score, we make use of the following equation

z = (score - mean)/Standard deviation

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

z = (70 - 70)/8

Evaluate the expression

z = 0

Hence, converting 70 to a z-score. we get 0

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I’m stuckkkk please helpppp

Answers

The hiking trial at the state park that is the longest would be D. Hilltop

How to find the longest hiking trail?

To find the hiking trail that is longest, convert the lengths shown to one form so as to see which is the longest.

Mammoth = 8.005 kilometers

Brookside = 8. 7 kilometers

Wild Rose = 8, 080 meters = 8. 08 kilometers

Hilltop = 8 kilometers 800 meters = 8. 8 kilometers

This then shows that the hiking trail that is the longest in the state park is the Hilltop trail which goes for 8. 8 kilometers.

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Find the volume of the prism. Round your answer to the nearest tenth, if necessary.
cm³
18 cm
8 cm
16 cm

Answers

Answer: 2304.0 cm³

Step-by-step explanation: V = length x width x height

V = 18 cm x 8 cm x 16 cm

V = 2304 cm³

nangle
In order to justify your general statement above (to give a reason why it is true), construct the angles A, B
and C of triangle 1 around point M as in the diagram below.
H
Are [MN] and [ML] on the same straight line?

Answers

Answer:

MN and ML are on the same straight line.

A wave is traveling at a speed of 3.4m/s has a length of 1.3m. what is its frequency?

Answers

The frequency of the wave is 2.62 Hz

If a = 3 and b = -2, what is the value of a2 + 3ab ”“ b2?​

Answers

Substituting a = 3 and b = -2 into the expression a^2 + 3ab - b^2, we get:

a^2 + 3ab - b^2 = 3^2 + 3(3)(-2) - (-2)^2

a^2 + 3ab - b^2 = 9 - 18 - 4

a^2 + 3ab - b^2 = -13

Therefore, the value of a^2 + 3ab - b^2 when a = 3 and b = -2 is -13.
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This cultural event mixes traditions from Africa, Brazil, and Europe?? a federal report indicated that 17 % of children under age 6 live in poverty in washington, an increase over previous years. how large a sample is needed to estimate the true proportion of children under age living in poverty in washington within with confidence? round the intermediate calculations to three decimal places and round up your final answer to the next whole number. Only 1 out of every 48 of those committing retail crimes will be caught.OA. TrueOB. False if the wage for receptionists, a substitute occupation for cashiers, increases, would this, ceteris paribus, be reflected as a change in demand or a change in supply in the market for cashiers? Suppose within your Web browser you click on a link to obtain a Web page. The IP address for the associated URL is not cached in your local host, so a DNS lookup is necessary to obtain the IP address. Suppose that three DNS servers are visited before your host receives the IP address from DNS. The first DNS server visited is the local DNS cache, with an RTT delay of RTT0 = 2 msecs. The second and third DNS servers contacted have RTTs of 33 and 27 msecs, respectively. Initially, let's suppose that the Web page associated with the link contains exactly one object, consisting of a small amount of HTML text. Suppose the RTT between the local host and the Web server containing the object is RTTHTTP = 53 msecs.a) Assuming zero transmission time for the HTML object, how much time (in msec) elapses from when the client clicks on the link until the client receives the object?b) Now suppose the HTML object references 7 very small objects on the same server. Neglecting transmission times, how much time (in msec) elapses from when the client clicks on the link until the base object and all 7 additional objects are received from web server at the client, assuming non-persistent HTTP and no parallel TCP connections?c) Suppose the HTML object references 7 very small objects on the same server, but assume that the client is configured to support a maximum of 5 parallel TCP connections, with non-persistent HTTP? d) Suppose the HTML object references 7 very small objects on the same server, but assume that the client uses persistent HTTP?Subject: Computer Networking.. suppose that n(u ) = 200 , n(e f ) = 194 , n(e) = 106 , and c n(e f ) = 73 . find each of the following values. n (e f)c PLS HELPWhat is the logic error in the following conditional statement?If ColorFruit = Green, then print "It is an apple!"a) The program should print "It is not an apple!"b) Green should not be capitalized.c) Green is not an integer. d) There is more green fruit than an apple. A passbook savings account has a rate of 5.8%. Find the effective annual yield if the interest is compounded quarterly. A) 5.9% B) 5.8% C) 6% D 6,1% The journal entry that records the transfer of units from Department A to the next processing department, Department B, will include a debit to:A. Work in Process Inventory for Department B and credit to Raw Materials Inventory.B. Work in Process Inventory for Department A and a credit to Work in Process Inventory for Department B.C. Work in Process Inventory for Department B and a credit to Work in Process Inventory for Department A.D. Finished Goods Inventory and a credit to Work in Process inventory for Department A. Area = ?As in the picture attached. According to ESPPN TNS Sports (reported in USA Today), among Americans who consider themselves auto racing fans, 59% identify NASCAR stock cars as theic favorite ype o5 racing: #1 Iiyou take a sample of 20 American auto racing fans, what is the probability that exactly 10 will say that NASCAR stock cars are their favorite type of racing? Round to 3 decimal places. #2 Find the mean for this sample. Round to 1 decimal place: Include units. #3 Find the standard deviation for this sample. Round to 1 decimal place. Include units. #4 What is the lower boundary value that would determine unusual values for NASCAR stock car fans among a sample of 20 American auto racing fans? Round to 1 decimal place. Include units. #5 What is the upper boundary value that would determine unusual values for NASCAR stock car fans among a sample of 20 American auto racing fans? Round t0 1 decimal place_ Include units PLS PLS HELPPP!!! LOOK AT IMAGEEE he intrinsic carrier concentration in si is to be no greater than ni=1x1012 cm-3. assume eg=1.12ev, please determine the maximum temperature allowed for si. "How come my knees r always so ashy" meaning Sarah and her friends had a cookie stand at alocal ballgame. After the game, there was $42.00left in the cashbox once they paid all theirexpenses. Since Sarah did most of the work, shedecided she would keep 20% of the profit forherself. Everyone else received 05% of theremaining profits. How much did each personreceive? How much did Sarah receive? 1. An online store sells sportswear. Of all online sales, it is known that the amount of each sale is right skewed with mean $55 and standard deviation $19. A sample of 50 sales is randomly selected.(a). Find the mean of the sampling distribution of the mean amount spent per sale for samples of size 50.(b).Find the standard deviation of the sampling distribution from part (a). (Round your answer to three decimal places.) The first people we know about that displayed an ethnocentric attitude were the:a Babyloniansb-Australian aboriginesC Egyptiansd. Greekse. Romans Consider the following method. "public static int calcMethod(int num) { if (num ________ activities are supported by structured process. sales and marketing media and customer service media and human resource operations and manufacturing The mutation to the pelvic switch region of the Pitx1 gene affected which stage of the gene expression process?Is it transcription or mRNA processing, or perhaps neither?The mutation to the pelvic switch region also meant that the Pitx1 gene was only primarily functional in the rest of the body.Is this true or false?