Part Two Using the diagram above, answer the following questions. Answer both parts of each question. For questions 7 and 8, identify the process as either cellular respiration, photosynthesis or both. True or False. The arrow labeled C represents a transfer of chemical energy to mechanical energy. Explain why this is true or false. True or False. The arrow labeled A represents a transfer of solar energy to chemical energy. Explain why this is true or false. Which arrow or arrows represent a release of carbon dioxide? What process is occurring at the arrow(s) you selected? Which arrow or arrows indicate a process that cycles carbon from living or nonliving organisms? Describe the process or processes you selected. Which arrow or arrows represent reactions that demonstrate a conservation of mass and energy? Explain your answer.

The margin of error at 90% confidence and its interpretation is;

0.085; we are 90% confident that the true proportion of sophomores who will attend Homecoming is within 0.085 of the sample proportion

The margin of error is defined as a term used in statistics to find the confidence interval. It is denoted by E.

The formula for margin of error is;

E = z(√(p(1 - p)/n)

The parameters are given as;

Sample size; n = 92

sample of success; x = 51

Sample proportion; p = 51/92 = 0.554

z at 90% CL = 1.645

Thus;

E = 1.645(√(0.554(1 - 0.554)/92)

E = 0.085

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Answer:

AC ≈ 6.25

Step-by-step explanation:

using the tangent ratio in the right triangle

tan36° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{8.6}[/tex] ( multiply both sides by 8.6 )

8.6 × tan36° = AC , then

AC ≈ 6.25 ( to 3 SF )

Answer:

Brand b

Step-by-step explanation:

brand a is 0.165 per ounce

brand b is 0.143 per ounce

brand c is 0.166 per ounce

The postal cost  is $26

What is volume?

In three-dimensional space, volume is the area occupied by an object within its borders. Another name for it is an object's capacity.

twice the weight = 2(40) = 80 kg

volume = 50cm x 50cm x 20cm = 50,000 cm³  = 50 litres

80 + 50  = 130

distance = 200 km

one thousandth = 0.001

one thousandth of the distance = 0.001 * 200 = 0.2

Multiply 130 by 0.2 as given

130*0.2 = 26

The postal cost  is $26

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Answer:a is 3:9 B is 6:9

Step-by-step explanation:

The probability of having more than the expected number of failures (i.e., at least five failures) in a set of nine Bernoulli trials is 0.2461, assuming that the probability of failure is 0.5.

In the field of probability, it is essential to understand the expected number of successes or failures in a given set of trials. However, what happens when we observe more or fewer outcomes than expected? In this scenario, we need to calculate the probability of observing a specific number of failures in a set of Bernoulli trials.

Let's assume that the probability of failure is denoted by "p," and the probability of success is denoted by "q." Thus, the expected number of failures in nine Bernoulli trials is given by:

E(X) = np

where n is the number of trials, and p is the probability of failure. In this case, n = 9, and we need to determine the probability of having more than the expected number of failures. This means we are interested in finding the probability of observing at least five failures since the expected number of failures is given by:

E(X) = 9p

If we assume that the probability of failure is 0.5 (i.e., p = 0.5), then the expected number of failures is 4.5 (i.e., E(X) = 9 * 0.5 = 4.5). Therefore, we are interested in finding the probability of observing at least five failures in nine Bernoulli trials.

To calculate this probability, we need to use the binomial distribution formula, which is given by:

[tex]P(X = k) = (^n_k) \times p^k \times q^{n-k}[/tex]

where P(X = k) is the probability of observing k failures in n trials, (n choose k) is the binomial coefficient, which is calculated as n! / (k! (n-k)!), p is the probability of failure, q is the probability of success (i.e., q = 1 - p), and k is the number of failures we are interested in observing.

Using this formula, we can calculate the probability of observing at least five failures in nine Bernoulli trials as follows:

P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)

= (9 choose 5) x 0.5⁵ x 0.5⁴ + (9 choose 6) x 0.5⁶ x 0.5³ + (9 choose 7) x 0.5⁷ x 0.5² + (9 choose 8) x 0.5⁸ x 0.5¹ + (9 choose 9) x 0.5⁹ x 0.5⁰

= 0.2461

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Answer: 7 + [tex]\frac{B}{5}[/tex] = 3

Step-by-step explanation:

Its pretty simple, just do as the words say. :) the only issue could be "of a number and 5", so you go in order, letting B be the number, it's B/5

Answer:

4

Step-by-step explanation:

Answer: 4

Step-by-step explanation: Because 1+1=2

2+2=4 therefore 2*2 also equal 4 and 2^2= 4

The required answers are

a) b = -4

b) x = 23.45

c) p = 201

The distributive property implies that multiplying a number by the sum of two or more addends yields the same result as dividing the multiplier, multiplying each addend individually, and combining the products . It can be given as,

a (b+c) = d

[tex](a*b) + (a*c) = d[/tex]

Now in the given question,

a) −1/2(b−6)= 5

by distributive property , we have

[tex](\frac{-1}{2} *b)-(\frac{-1}{2}*6 )=5\\\frac{-1}{2}b+3=5\\\frac{-1}{2}b=2\\b=-4[/tex]

b) 0.4(x−0.45)= 9.2

by distributive property , we have

0.4x - 0.4(0.45) =9.2

0.4x -0.18 = 9.2

0.4x = 9.38

x = 23.45

c) −4(p−212)=44

by distributive property , we have

-4p +4 (212) = 44

-4p + 848 =44

-4p = 44 - 848

-4p = -804

p = 201

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The length, L (in miles), that is left to be paved after d days is given by the following function L = 205 - 9d.

In this function, 205 represents the total length of the road that needs to be paved, and 9 represents the number of miles that the crew paves each day. The variable d represents the number of days that the crew has been working on the road.

To find the length of the road that is left to be paved after a certain number of days, we can substitute the value of d into the function and solve for L. For example, if the crew has been working on the road for 10 days, we can find the length of the road that is left to be paved as follows:

L = 205 - 9d

L = 205 - 9(10)

L = 205 - 90

L = 115

Therefore, after 10 days, the crew still has 115 miles of road left to pave.

This function can be useful for the construction crew to keep track of their progress and plan their work accordingly. It can also be used by project managers and other stakeholders to monitor the project and ensure that it is on track to be completed within the desired timeframe.

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The probability of the coin being the weighted one given that it returned heads is 0.8.

P(Weighted | Heads) = ( P(Heads | Weighted) * P(Weighted) ) / P(Heads)

                   = ( 0.8 * 0.5 ) / 0.5

                   = 0.8

The probability of the coin being the weighted one given that it returned heads can be calculated using Baye's Theorem. This theorem states that the probability of an event given a condition is equal to the probability of the condition given the event multiplied by the probability of the event divided by the probability of the condition. In this case, the event is the coin being weighted, the condition is the coin returning heads. Therefore, the probability of the coin being the weighted one given that it returned heads is equal to the probability of the coin returning heads given that it is weighted multiplied by the probability of the coin being weighted divided by the probability of the coin returning heads. The probability of the coin returning heads given that it is weighted is 0.8, the probability of the coin being weighted is 0.5, and the probability of the coin returning heads is 0.5. Thus, the probability of the coin being the weighted one given that it returned heads is 0.8.

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A quadratic equation with -1 and 5 as its roots is x^2 - 4x - 5 = 0 by multiplying the terms.

The roots of a quadratic equation are the values of the variable that satisfy the equation. They are also known as the "solutions" or "zeros" of the quadratic equation.

Derive factor from the roots

x = -1    and    x = 5

x + 1 = 0  and  x - 5 = 0

Now, (x+1)(x-5) = 0

 x(x - 5) + 1(x - 5) = 0

x^2 - 5x + x - 5 = 0

 x^2 - 4x - 5 = 0

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From the total of 300 workers in the factory :

a. Number of men = 200 and Women = 100

b. Number of workers works in the morning = 225

c. Number of workers unionized are 150.

d. Number of workers trustworthy are 50.

Total number of workers in the factory are 300.

a. Fraction of men in the factory are ( 2/3)

= 2/3 of 300

= 200

Women

= 300 -200

= 100

b. Number of workers in the morning shift are

= 3/4 of 300

= 225

c. Total number of workers unionized

= 1/ 2 of 300

= 150

d. Number of trustworthy workers

= 1/6 of 300

= 50

Therefore, out of 300 workers in the factory answer of the following questions are:

a. Number of men and women work in the factory are 200 and 100 respectively.

b. Number of workers works in the morning is 225.

c. Unionized workers = 150

d. Trustworthy workers = 50.

The above question is incomplete , the complete question is :

The Factory has 300 workers of which 2/3 are men, 3/4 work in the morning, 1/2 are unionized and 1/6 are trusted personnel.

a. How many men work in the factory and how many women?

b. How many workers work in the morning?

c. How many are unionized?

d. How many are trustworthy?

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The solution of the exponent equation [tex]\rm 4 \times (10^{-3x})=18[/tex] will be negative 0.2177.

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equation is given below.

[tex]\rm 4 \times (10^{-3x})=18[/tex]

Simplify the equation, then we have

[tex]\begin{aligned} \rm 4 \times (10^{-3x}) &=18\\\\\rm (10^{-3x}) &=4.5 \end{aligned}[/tex]

Take a log with base 10 on both sides, then we have

- 3x log₁₀ 10 = log₁₀ 4.5

- 3x = 0.6532

x = -0.2177

The solution of the exponent equation [tex]\rm 4 \times (10^{-3x})=18[/tex] will be negative 0.2177.

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The algebraic expression in simplified form representing the average is 3x + 1.

To solve this question, one must know the formula of average. It is as follows -

Average = sum of the numbers / quantity of numbers

Now, we see that there are 3 expressions in the question. Hence, quantity of numbers will be 3.

Sum of the numbers = 2x + 3 + x + 6x

So, keep the values in formula to find the expression -

Average = 2x + 3 + x + 6x/ 3

Simplifying the expression to find average

Average = 9x + 3/3

Performing division on Right Hand Side of the equation

Average = 3x + 1.

Hence, required algebraic expression is 3x + 1.

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To accurately represent the shoe sizes for men and women separately, it would be better to compute the mean or median shoe size for each group separately and compare them.

The problem with either the mean or the median as a measure of center in this case is that the data is not separated by gender, and the shoe size distributions for men and women are likely to be different. Therefore, computing the mean or median shoe size across all students may not accurately represent the typical shoe size for men or women separately.

For example, if the men in the sample have, on average, larger shoe sizes than the women, then the mean shoe size across all students may be biased towards the larger sizes, even though the majority of the students are women. On the other hand, if there are a few male students with very large shoe sizes, then the median shoe size across all students may be biased towards the larger sizes as well, even if most of the students are women with smaller shoe sizes.

To accurately represent the shoe sizes for men and women separately, it would be better to compute the mean or median shoe size for each group separately and compare them. Alternatively, a better measure of center might be to report the mode, which represents the most common shoe size in the data.

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From the table, the conclusion can be made that for any value of the input, the value of the output remains the same. Then the correct option is C.

A function is an argument, concept, or regulation that demonstrates an association between two variables. Functions may be located throughout mathematics and are necessary for the expansion of significant linkages.

If the number of values of the variable 'y' is more than one for a given value of 'x', then it is not a function.

The table is given below.

   x         y

 - 5        20

   0        20

   5        20

  10        20

From the table, the conclusion can be made that for any value of the input, the value of the output remains the same. Then the correct option is C.

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The complete question is attached below.

Answer:

Step-by-step explanation:

I probalby am not reading the question correctly, but it seems be be asking the distance between Myrna's fingertip (18 feet above the ground!) and the top of the 27' foot flagploe.  We are not told where Myrna is standing, nor how she got her fingertip 18 feet high.  Since we are asked for a diagram, I did the best I could, not knowing much about Myrna other than she must be tall.  On her behalf, I assumed Myrna was directly under the flagpoe.  As shown in the attached diagram, her fingertip is 9 feet below the top of the flagpole.  

If the 24 foot wire is stretched all the way (i.e., it takes 24 feet to reach Myrna's fingertip), then she is not standing directly below the flagpole.   But this isn't clear in the problem.  In any event, if the question is how far she is from the very top of the flagpole from where she is standing, it would be the 24 foot lenght of the wire connecting her to the top of the flagpole.  If the question just wants the vertical distance, then it is 9 feet.

If she is standing away from the flagpole, then a diagram would appear roughly as follows:

 x

 x      s

 x 27'        s   24'

 x                       s

 x  ----------z--------------   y

 x                                   y

 x                                   y 18'

 x   ----------z--------------  y                  

flagpole                       Myrna

The distance z is calculated using the Pythagorean Theorem in the top triangle.  The left side is (27'-18') or 9'.  The hypotenuse is 24'.

  z^2 + 9^2 = 24^2

z = 22.2 feet.

The exponential function that goes through points (0,12) and (2,300) is [tex]y = 12(5)^x[/tex].

What is an exponential function?

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The coordinate points are (0,12) and (2,300).

The exponential function has form [tex]y=ab^x[/tex].

So, the x values are 0,2 and y values are 12,300.

Substitute the first x and y values in the equation -

[tex]12=ab^0[/tex]

a = 12 ...... equation (1)

Substitute the second x and y values in the equation -

300 = ab² ...... equation (2)

Substitute the value of equation (1) in equation (2) -

300 = (12)b²

b² = 300 / 12

b² = 25

b = √25

b = 5

Substitute the values of a and b in exponential function -

[tex]y = 12(5)^x[/tex]

Therefore, the exponential function is [tex]y = 12(5)^x[/tex].

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Answer: look at the image for the answer and the solution

Step-by-step explanation:

Answer: a^2 b^2 c^2

Step-by-step explanation:

because that is the pythageoran theorem the rule of it is a^2 + b^2 + c^2 so it's right

Answer: 1.5 inches

Step-by-step explanation:

The approximate arc length of one slice of apple pie, when the diameter of the pie is ten inches, is option (c) - 5.24 inches.

We know that the apple pie is cut into 6 equal slices,

therefore,  Θ = 360/6 = 60° (for each slice of the apple pie)

then the diameter of the apple pie is, d = 10 inches

from the diameter we can find the radius, r = 10/2 inches = 5 inches

arc length = 0/360 × 2[tex]\pi[/tex]r

we put the values of r and [tex]\pi[/tex] into the equation, we get the following:

= 60/360 × [tex]2\pi[/tex] × 5

= 5.24 inches.

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The second situation costs less by

The cost of the first situation is

Adult = 8 * 2 = 16

drink = 2 * 2 = 4

popcorn = 2 * 2 = 4

Total = $24

Second situation

rent a video = $3.50

buy a 2 liter of cola = $1.60

a bag of microwave popcorn = $1.98.

Total = $7.03

The second situation costs less by

$24 - $7.03

= $16.92

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The number in question is the magic sum of the square. The outcome is the same as if you multiply the three integers in each column together and then add the three products: 8, times 3, 4, 1, 5, 6, 7, and 2 equals 225. This quantity is known as the magic square product.

The term "integer" refers to any number that is not zero, a positive natural number, or a negative integer denoted by a minus sign. Because they are diametrically opposed to their positive counterparts, negative integers are additive.

When representing a group of numbers in mathematical notation, the blackboard bold mathbb Z or boldface Z are frequently used. The word "integer" is pronounced "IN-tuh-jer" and refers to a whole number that can be positive, negative, or zero.

A few examples of integers are -5, 1, 5, 8, 97, and 3,043. Non-integer numbers include the figures -1.43, 1 3/4, and 3.14.

The integers are a collection of all whole numbers and their antipodes. Decimal points and fractions are not included in the set of integers. The numbers 2, 5, 0, 12, 244, 15, and 8 are examples.

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Answer:

-2x + 10

Step-by-step explanation:

When you add units you affect the y axis.

Knowing this you can translate it 14 units up by adding 14 + (-4).

1. In his newspaper, Peter Zenger published articles criticizing the Governor's use of arbitrary power

2. Because it was against the law to criticize the king or his appointees, the Attorney General accused Peter Zenger of committing" libel.

3. Hamilton believed Zenger was not guilty of this charge because in Zenger's newspaper articles the "truth is told

4. Hamilton felt that more than just Peter Zenger was on trial. He felt that the larger concept of American" liberty was at stake.

Hamilton and Morris agreed that the trial of Peter Zenger was important for American freedom and the defense of liberty.

As for the question about television and newspaper reporters, it is a matter of opinion. Some people believe that the freedom of the press is an important part of democracy, and that reporters should be able to criticize anyone in power, including the president. Others believe that criticism of the president should be limited to protect the dignity and stability of the office. In either case, it is important to strike a balance between free speech and responsible journalism.

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Answer:

(y+2)^2

= y^2 + 4y + 4

now plug in -4 in y's

=(-4)^2 + 4(-4) + 4

=8-16+4

=-4

To state the null hypothesis and alternative hypothesis for Megan's test, we need to know what type of data she will be collecting and what type of test she will be conducting.

Assuming she will be collecting data on the number of hours of sleep students are getting and conducting a one-tailed hypothesis test, the following are possible null and alternative hypotheses:

a.) Null hypothesis: The average amount of sleep students are getting is equal to or greater than eight hours per night.

Alternative hypothesis: The average amount of sleep students are getting is less than eight hours per night.

b.) Null hypothesis: Less than or equal to 50% of students are getting less than eight hours of sleep per night.

Alternative hypothesis: More than 50% of students are getting less than eight hours of sleep per night.

c.) Null hypothesis: There is no difference in the proportion of students getting less than eight hours of sleep between two groups (e.g., males vs. females, freshmen vs. seniors, etc.).

Alternative hypothesis: There is a difference in the proportion of students getting less than eight hours of sleep between two groups.

d.) Null hypothesis: The number of students getting less than eight hours of sleep is equal to or greater than a certain value (e.g., 30%).

Alternative hypothesis: The number of students getting less than eight hours of sleep is less than the specified value.

Note that in each case, the null hypothesis represents the status quo or the default assumption, while the alternative hypothesis represents Megan's research question or hypothesis. The choice of null and alternative hypotheses depends on the research question, the data being collected, and the type of hypothesis test being conducted.

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The value of the conversion is;

16, 666. 67 minutes

277.78 hours

Conversion of units is described as the conversion between different units of measurement for the same quantity, using the multiplicative factor.

From the information given, we have;

10⁶ seconds

But, we have to take note of;

60 seconds = 1 min

Then 10⁶ seconds = x min

cross multiply

x = 16, 666. 67 minutes

Also,

60 minutes = 1 hour

Then 16, 666. 67 minutes = x

cross multiply

x = 277.78 hours

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