Tammy needs at least an 85% in order to pass
her chemistry class.

Answers

Answer 1
17/20 or 0.85 is the answer

Related Questions

Match the correct term to its definition.
Fomite E. Portal of exit
Vector F. Zoonotic
Reservoir G. Incubation period
Portal of entry
34. _______ Site where infectious agent enters the body
35. _______ Disease transmitted through an animal bite
36. _______ Population or environment in which pathogen lives and reproduces and on which it depends on its survival
37. _______ Inanimate object covered in disease-causing agent
38. _______ Interval between exposure to pathogen and first signs and symptoms of disease
39. _______ Site where infectious agent leaves the body
40. _______ Living insect or animal involved with disease transmission

Answers

The words to fill each gap, respectively, are Portal of entry, Vector, Reservoir, Fomite, Incubation period, Portal of exit, Vector.

Diseases Infection

Portal of entry: It refers to the site or pathway through which an infectious agent enters the body of a susceptible host, allowing the agent to establish an infection.

Vector: A vector is a living organism, usually an insect or animal, that transmits disease-causing pathogens from one host to another. It serves as an intermediate carrier of the infectious agent.

Reservoir: Reservoir refers to a population or environment where a pathogen lives and multiplies, serving as a source of infection. The pathogen depends on the reservoir for its survival and can be transmitted from the reservoir to susceptible individuals.

Fomite: A fomite is an inanimate object or surface that becomes contaminated with disease-causing agents, such as bacteria or viruses. These agents can survive on fomites and potentially transmit infection if they come into contact with a susceptible individual.

Incubation period: The incubation period is the interval between exposure to a pathogen and the appearance of the first signs and symptoms of the disease. It represents the time required for the pathogen to replicate and cause noticeable illness in the infected individual.

Portal of exit: It refers to the site or pathway through which an infectious agent leaves the body of an infected individual, allowing it to be transmitted to other hosts. Examples of portals of exit include respiratory secretions, feces, blood, or skin lesions.

Vector: As mentioned earlier, a vector is a living insect or animal that plays a role in transmitting disease. It can acquire the pathogen from an infected host and transmit it to a susceptible individual, potentially causing disease in the process.

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Mason rolls one dice 99 times. How many times can he expect to roll an odd number
greater than one? (Hint: First find Plodd # > 1))

Answers

A die is six sided, there are 2 numbers both odd and greater than one, so 2/6, 2/6 x 99 is 33.

the measure of ∠ABD is (0.12x+68)° and the measure of ∠CBD is (0.13x+24)°. Find the value of x.
PLS HELP
ILL GIVE ALOT OF POINTS

Answers

Answer:

could you add a form?

Step-by-step explanation:

Answer:

Step-by-step explanatio

HELP PLSSSSSSDSSSSSSSSSSSSSSSSSSS

Answers

Answer:

8 inches.

Step-by-step explanation:

Just count how many units there are between the two points :)

The effectiveness of a blood pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 42.2 for a sample of size 309 and standard deviation 10.7. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 99% confidence level) Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).

Answers

The 99% confidence interval for how much the drug will lower a typical patient's systolic blood pressure is approximately (40.6, 43.8).

How to determine the confidence interval

The formula for calculating the confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

we need to find the critical value associated with a 99% confidence level. Since the sample size is large (n = 309), we can use the z-distribution.

The critical value for a 99% confidence level is approximately 2.576.

Next, we need to calculate the standard error using the formula:

Standard Error = Standard Deviation / √(Sample Size)

Standard Error = 10.7 / √309

Now we can calculate the confidence interval:

Confidence Interval = 42.2 ± (2.576 * (10.7 / √309))

Calculating the values:

Confidence Interval = 42.2 ± (2.576 * 0.609)

Confidence Interval ≈ 42.2 ± 1.570

Therefore, the 99% confidence interval for how much the drug will lower a typical patient's systolic blood pressure is approximately (40.6, 43.8).

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5 cups of coffee and 2 bottles of water cost $12 4 cups of coffee and 7 bottles of water cost $15

help plss

Answers

Answer:

one cup of coffee costs $2, while one bottle of water costs $1

Step-by-step explanation:

We can represent this using two equations:

Variable x represents cups of coffee, and variable y represents bottles of water.

5x + 2y = 12

4x + 7y = 15

Your answer for the value of x and y should be

x = 2

y = 1

Therefore, one cup of coffee costs $2, while one bottle of water costs $1.

If 1+1= window, 2 + 2 equals...

Answers

Answer:

door?

Step-by-step explanation:

Or is it 2 windows?

The follow-ups to the Window Equation don't as a rule utilize the a additionally image and rises to sign, and are drawn by flipping one of the numbers.

1 + 1 = window

2 + 2 = fish

3 + 3 = eight

4 + 4 = arrow

5 + 5 = apple

6 + 6 = cherry

7 + 7 = triangle

8 + 8 = butterfly

Hope this helps!

Picture below: The steps and associated words showing how to complete the window symbol.

Use the sequence {−1,171,875;−234,375;−46,875;−9375,…} to answer the question.


What is the explicit rule that describes the sequence?


an=−1,171,875(125)n−1

an=1,171,875(−15)n−1

an=−1,171,875(15)n−1

an=1,171,875(−115)n−1

Answers

Answer:

an = −1,171,875(1/5)^n-1

Step-by-step explanation:

The given sequence is geometric sequence since they have the same common ratio r. The nth term of a geometric sequence is expressed as;

an = ar^n-1

n is the number of terms

r is the common ratio

a is the first term

From the sequence;

a = −1,171,875

r = −234,375 /−1,171,875 = -46,875/−234,375 = 0.2

r = 1/5

Substitute the values in the formula;

an = −1,171,875(1/5)^n-1

Hence the required explicit formula is an = −1,171,875(1/5)^n-1

The explicit rule that describes the sequence is [tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]. Then the correct option is C.

What is a sequence?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The sequence is {−1,171,875;−234,375;−46,875;−9375,…}

The given sequence is the geometric sequence since they have the same common ratio r. Then the nth term of the geometric sequence will be

[tex]\rm a_n = a\ r^{n-1}[/tex]

Where

Number of terms (n)

First-term (a) = -1,171,875

Common ratio (r) = 1/5

Then nth term will be

[tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]

The explicit rule that describes the sequence is [tex]\rm a_n = -1,171,875 (\dfrac{1}{5})^{n - 1 }[/tex]. Then the correct option is C.

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Write the inequality shown by the graph.

Answers

Answer:  A

Step-by-step explanation:

The line and dots are closed circle, so B and D would not be the answer.

The line have passed through the point (-6,4) and (0,2); we uses to find the slope.

slope = m = (y2 - y1)/(x2 - x1) = (2 - 4)/(0 - (-6)) = -2 / 6 = -1/3

we plug in slope to the linear equation in form of y = mx + b, where m is the slope, and b is the y- intercept.

y = -1/3x + 2

So the answer is A.

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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

A

I’m pretty sure it’s A

Answer:

A, sure

mark me as brainliest plz


The perimeter of a rectangle is 20m and the length is x m find the
area of the rectangle in terms of x

Answers

Answer:

2(x+y)

Step-by-step explanation:

perimeter=20cm

length=x

Take the radius to be y

area of a rectangle=2(length+width)

therefore area of a rectangle=2(x+y)




7. Let A = {a, b, c), B = {1, 2, 3, 4), and C = {w, x, y, z), and let R = {(a, 2), (b, 3), (b, 4), (c, 3)} and S = {(1, y), (1, z), (2, w), (3, z)}. What is the composition relation (RS) of R with S?

Answers

The composition relation (RS) of R with S is {(a, w), (b, z), (b, z), (c, z)}.

The composition relation (RS) of R with S is obtained by taking the pairs from R and S that have matching elements.

R = {(a, 2), (b, 3), (b, 4), (c, 3)}

S = {(1, y), (1, z), (2, w), (3, z)}

To obtain RS, we need to match the second element of each pair in R with the first element of each pair in S.

For the pair (a, 2) in R, we match the 2 with the second elements of pairs in S: (2, w). So we have (a, w).

For the pair (b, 3) in R, we match the 3 with the second elements of pairs in S: (3, z). So we have (b, z).

For the pair (b, 4) in R, we match the 4 with the second elements of pairs in S: (4, z). So we have (b, z).

For the pair (c, 3) in R, we match the 3 with the second elements of pairs in S: (3, z). So we have (c, z).

Putting it all together, the composition relation RS is:

RS = {(a, w), (b, z), (b, z), (c, z)}

Note that (b, z) appears twice in the composition relation because there are two pairs (b, 3) in R that match with (3, z) in S.

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Aiden works at a lab with a huge circular particle accelerator. It has a diameter of 8 kilometers. What is the accelerator's radius?

Answers

Step-by-step explanation:

Diameter = 2x Radius

Radius = 1/2 Diameter

[tex] = \frac{1}{2} \times 8 \\ = 4km[/tex]

Answer:

Hey mate!

The radius is 4km

Here's how:-

Diameter is 2 times the radius.

That means, the radius is half of the diameter.

So, radius equals 8 divided by 2.

Radius is 4cm.

Hope it helps!

If you have any more queries or didn't understand my answer, let me know in the comments so I can help you!

Write the percent as a fraction and as a decimal.

5% tax

Fraction (simplified) -
Decimal -​

Answers

Your answer is 0.05 because if you put 0.5 that is .50

Answer:

Fraction = [tex]\frac{1}{20}[/tex] and Decimal = 0.05

Step-by-step explanation:

Percent means, some number over a hundred.

in this case we have 5%

[tex]\frac{5}{100} = \frac{1}{20}[/tex]

and for decimal form we just move the decimal 2 places to the left because our denominator is a 100 and we get 0.05.

Question 6(Multiple Choice Worth 5 points) (02.02 LC) How can 33/9 be expressed as a decimal? 0 23 0 36 0 43 be 40​

Answers

Answer:

3.666667

Step-by-step explanation:

You can do long division, or you can use a calculator.

how do you solve this??

Answers

Answer:

4x+50=90 being complementary

4x=90-50

x=40/4=10

value of x=10°

Answer: 10

Step-by-step explanation:

50-90= 40

40/4 = 10

Solve the inequality
x - 4/5 > 1/5

Answers

x - 4/5 > 1/5

  +4/5   +4/5    add 4/5 on each sides, 4/5s will cancel on the left side.

__________   solve for 1/5 + 4/5, which is 1.

x > 1, is the final answer.

hope this helps :)

Answer:

x>1

Step-by-step explanation:

The integral 5√1-4²da is to be evaluated directly and using a series approximation. (Give all your answers rounded to 3 significant figures.) a) Evaluate the integral exactly, using a substitution in the form ax = sin 0 and the identity cos²x = (1 + cos2x). Enter the value of the integral: __ b) Find the Maclaurin Series expansion of the integrand as far as terms in aº. Give the coefficient of * in your expansion: ___ c) Integrate the terms of your expansion and evaluate to get an approximate value for the integral. Enter the value of the integral: d) Give the percentage error in your approximation, i.e. calculate 100x (approx answer - exact answer)/(exact answer). % Enter the percentage error:__

Answers

(a) The value of the integral is [tex]\frac{5}{4} (arcsin(4x) + \frac{1}{2} sin(2arcsin(4x))) + C.[/tex]

(b) The coefficient of * in the expansion is -2

(c) The value of the integral after expansion is 1.015.

(d) cannot be estimated

Understanding Integral Approximation

a) Evaluate the integral exactly, using a substitution in the form ax = sin θ and the identity cos²θ = (1 + cos 2θ).

First, let's make the substitution

ax = sin θ.

We have

a = 4,

so we can write

4x = sin θ.

Solving for x,

we get

x = (1/4) sin θ.

Next, we need to express √(1 - 4x²) in terms of θ. Since x = (1/4) sin θ, we can substitute it in the expression to get:

√(1 - 4x²) = √(1 - 4(1/4)² sin² θ)

= √(1 - sin² θ)

= √(cos² θ).

Now, the integral becomes:

∫5√(1 - 4x²) dx

= ∫5√(cos² θ) (1/4) cos θ dθ

= (5/4) ∫cos² θ dθ.

Using the identity :

cos²θ = (1 + cos 2θ),

we have

(5/4) ∫(1 + cos 2θ) dθ = (5/4) (θ + (1/2) sin 2θ) + C.

Substituting back θ = arcsin(4x), we have the exact value of the integral: [tex]\frac{5}{4} (arcsin(4x) + \frac{1}{2} sin(2arcsin(4x))) + C.[/tex]

b) Find the Maclaurin Series expansion of the integrand as far as terms in aº. Give the coefficient of * in your expansion.

To find the Maclaurin series expansion, we need to expand the integrand √(1 - 4x²) in a series. We can use the binomial series expansion for this:

√(1 - 4x²) = 1 - 2x² + (3/2)x⁴ - (5/4)x⁶ + ...

Expanding up to terms in a⁰, we have √(1 - 4x²) = 1 - 2x².

The coefficient of a⁰ is -2.

c) Integrate the terms of your expansion and evaluate to get an approximate value for the integral.

To integrate the terms of the expansion, we integrate each term separately:

∫1 dx = x,

∫(-2x²) dx = -(2/3)x³,

∫(3/2)x⁴ dx = (3/10)x⁵,

∫(-5/4)x⁶ dx = -(5/28)x⁷,

Now, we evaluate each integral at the limits of integration. Since the limits were not provided, we'll assume them to be from -1 to 1:

Using the fundamental theorem of calculus, the definite integral is the difference between the antiderivative values at the upper and lower limits:

∫1 dx = [x] from -1 to 1 = 1 - (-1) = 2,

∫(-2x²) dx = [-2(1/3)x³] from -1 to 1 = (-2/3)(1³ - (-1)³) = (-2/3)(1 - (-1)) = (-2/3)(2) = -4/3,

∫(3/2)x⁴ dx = [(3/10)x⁵]

from -1 to 1 = (3/10)(1⁵ - (-1)⁵) = (3/10)(1 - (-1)) = (3/10)(2) = 3/5,

∫(-5/4)x⁶ dx = [(-5/28)x⁷] from -1 to 1 = (-5/28)(1⁷ - (-1)⁷) = (-5/28)(1 - (-1)) = (-5/28)(2) = -5/14.

Adding up all the integrated terms, we get the approximate value of the integral:

2 + (-4/3) + (3/5) + (-5/14) ≈ 1.015.

Therefore, the approximate value of the integral is 1.015.

(d) There is no value for the error, therefore it cannot be evaluated

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Solve the system using matrices (row operations) S42 – 4y = - 4, = 12. 2 + 3y How many solutions are there to this system? A. None B. Exactly 1 C. Exactly 2 D. Exactly 3 E. Infinitely many F. None of the above If there is one solution, give its coordinates in the answer spaces below. If there are infinitely many solutions, entert in the answer blank for y and enter a formula for a in terms of t in the answer blank for 1. If there are no solutions, leave the answer blanks for 1 and y empty.

Answers

The system has infinitely many solutions.

The given system of equations can be represented using matrices and solved using row operations. Let's rewrite the system in matrix form:

[1  -4] [2]  =  [-4][1   3] [y]     [12]

To solve this system using row operations, we'll perform elementary operations to transform the matrix into row-echelon form or reduced row-echelon form. Let's proceed with the operations:

1. R₂ = R₂ - R1

  [1  -4] [2]  =  [-4]

  [0   7] [y]     [16]

2. R₂ = R2/7

  [1  -4] [2]  =  [-4]

  [0   1] [y]     [16/7]

3. R₁= R₁ + 4R2

  [1  0] [2 + 4(16/7)]  =  [-4 + 4(16/7)]

  [0  1] [y]              =  [16/7]

Simplifying the calculations, we get:

[1  0] [2 + (64/7)]  =  [-4 + (64/7)]

[0  1] [y]              =  [16/7]

This system of equations indicates that x = 2 + (64/7) and y = 16/7. Therefore, there are infinitely many solutions to the system.

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A statistical analysis of the wait (in minutes) at the checkout line of a certain supermarket yields the probability distribution in the table. What is the probability of waiting more than 5 minute
?

Answers

The probability of waiting more than 5 minutes at the checkout line of a certain supermarket is 0.35.

This can be calculated by adding the probabilities of waiting 6 minutes (0.10) and 7 minutes (0.25).

The probability distribution table shows that the probability of waiting 0 minutes is 0.50, the probability of waiting 1 minute is 0.20, the probability of waiting 2 minutes is 0.10, and the probability of waiting 3 minutes is 0.05. The probability of waiting more than 5 minutes is the sum of the probabilities of waiting 6 minutes, 7 minutes, and so on. The probability of waiting 6 minutes is 0.10, and the probability of waiting 7 minutes is 0.25. Therefore, the probability of waiting more than 5 minutes is 0.10 + 0.25 = 0.35.

In other words, there is a 35% chance that a customer will wait more than 5 minutes at the checkout line of this supermarket.

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Element X decays radioactively with a half life of 11 minutes. If there are 870 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 154 grams?
y = a(.5) t/h​

Answers

Answer:

27.5 minutes

Step-by-step explanation:

Using,

R/R' = 2ᵃ/ᵇ------------------ Equation 1

From the equation,

R = mass of Element X before radioactive decay, R' = mass of element X after radioactive decay, a = Time taken, b = half life.

Given: R = 870 grams, R' = 154 grams, b = 11 minutes.

Substitute these values into equation 1

870/154 = 2ᵃ/¹¹

(870/154)¹¹ = 2ᵃ

Solve for a

2ᵃ = (5.649)¹¹

2ᵃ = 187061.26

Taking the logarithm of both side,

Log2ᵃ = Log(187061.26)

⇒ a = log(187061.26)/log2

a = 8.272/0.301

a = 27.5 minutes

Which of these is an example of qualitative data?
A how many books your classmates read this year

B. your classmates' favorite books

C. how much a book costs at the store

D. how many pages your favorite book has​

Answers

i think it depends on if you have enough money to buy the books you need so C would be the answer

Listed below are the lead concentrations in measured in different traditional medicines Use a 001 significance level to test the contrat mean lead concentration for all such medicines is less than 13 9 Assume that the sample is a simple random sample 5 95 55 8.5 85 14 155 21 45 105 1 ore: GEE Assuming all conditions for conducting a hypothesis fest are met what are the null ang amative hypotheses?

Answers

Null hypothesis (H0): The mean lead concentration for all traditional medicines is equal to or greater than 13.9.

Alternative hypothesis (Ha): The mean lead concentration for all traditional medicines is less than 13.9.

The null and alternative hypotheses for the given scenario can be stated as follows:

Null hypothesis (H0): The mean lead concentration for all traditional medicines is equal to or greater than 13.9.

Alternative hypothesis (Ha): The mean lead concentration for all traditional medicines is less than 13.9.

In other words, the null hypothesis assumes that the population mean lead concentration is 13.9 or higher, while the alternative hypothesis suggests that the population mean lead concentration is less than 13.9.

To test these hypotheses, a hypothesis test can be conducted using the given sample data and a significance level of 0.01 (or 0.001 as mentioned)

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Can someone help me with this. Will Mark brainliest.

Answers

Answer:

3.3

Step-by-step explanation:

what is 7 8/9 written as a decimal

Answers

The number 7 8/9 as a decimal is 7.89

Plz Help me this is already overdue

Answers

Answer:

2nd Column: [tex]\frac{39-78}{25-59}[/tex]

3rd Column:[tex]1.56[/tex]

Step-by-step explanation:

2) For this, just follow the formula given underneath the chart.

3) Here, simplify the equation used in the 2nd Column.  [tex]\frac{39-78}{25-50} = \frac{-39}{-25} = -1.56[/tex]

The year-end balance sheet of Star Inc. shows total assets of $6,617 million, operating assets of $5,253 million, operating liabilities of $2,822 million, and shareholders' equity of $2,950 million.
The company's year-end net operating assets are:

$9,39 million

$5,253 million

$2,431 million

$8,075 million

None of these are correct.

Answers

If the year-end balance sheet of Star Inc. shows total assets of $6,617 million, operating assets of $5,253 million, operating liabilities of $2,822 million, and shareholders' equity of $2,950 million, the company's year-end net operating assets are  $2,431 million. Therefore, the correct answer is option C, $2,431 million.

Net operating assets refer to the difference between operating assets and operating liabilities. In this case, the operating assets of Star Inc. are $5,253 million, and the operating liabilities are $2,822 million. Therefore, the year-end net operating assets are:

Net operating assets = Operating assets - Operating liabilities

Net operating assets = $5,253 million - $2,822 million

Net operating assets = $2,431 million

Therefore, the correct answer is option C, $2,431 million.

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QUICK
Your bank offers 6 percent annual interest, compounded monthly. If you start with $500 in your account, how much will you have after 3 months?

Answers

Answer:$590

Step-by-step explanation:

500*6%=30

30*3=90

500+90=590

will mark brainliest

Answers

Answer:

18

Step-by-step explanation:

formula= length x width x height

3 x 3 x 2 = 18

Answer:

12

Step-by-step explanation:

V = Bh.

Base = b = length x width

length = 3

width = 3

height = 2

6 x 2

Please help 6th grade math please please help
if you dont know the answer please do not answer this question

Answers

Answer:

Least Value: 16

Median: 26

Upper Quartile: 30

Lower Quartile: 20

Greatest Value: 34

Interquartile Range: 10

Range: 18

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Do you agree with Robert Moses ideas of wiping out cities that are an "impediment to new growth"? (see Scarcity and Eminent Domain) Why or why not?This is for AP Microeconomics 2 1 4 7 3 4 5 5 1 2 1 1 which operation will make the lower left element the largest? Which of the following drug crops is INCORRECTLY paired with a major source country? a.marijuana...Mexico b.opium...Nigeria c.coca...Columbia d.opium...Myanmar e.coca...Bolivia Which of the following statements regarding intermolecular forces are true? (Select all that apply.)a. Intermolecular forces result from attractive forces between regions of positive and negative charge density in neighboring molecules.b. The stronger the bonds within a molecule are, the stronger the intermolecular forces will be.c. Only nonpolar molecules have instantaneous dipoles. a nurse is preparing to assist with a thoracentesis for a client who has pleurisy. the nurse should plan to perform which of the following actions? 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D) when they build up landforms In the first year of operations, Star Company had the following transactions in trading securities.On December 31, 2021 the fair market values were $35 for Ford, Inc. and $45 for Dodge, Inc.Journalize the investment transactions and prepare the adjusting entry at Dec. 31.June 1: Purchased for cash 600 shares of Ford, Inc. common stock at $24 per shareJuly 1: Purchased for cash 800 shares of Dodge Inc. common stock at $36 per shareSept. 1: Received a $5 per share cash dividend from Dodge, Inc.Nov 1: Sold 200 shares of Ford, Inc. common stock for cash at $30 per shareDec 15: Received a $2 per share cash dividend on Ford, Inc. common stock.Dec 31: Adjusting entry for unrealized gain or loss: (Fair values were $35 for Ford, Inc. and $45 for Dodge, Inc) the algorithm credited to euclid for easily finding the greatest common divisor of two integers has broad significance in cryptography. T/F At the end of January, Higgins Data Systems had an inventory of 800 units, which cost $17 per unit to produce. During February the company produced 1,240 units at a cost of $20 per unit. If the firm sold 1,300 units in February, what was its cost of goods sold? (Assume LIFO inventory accounting.) Cost of goods sold which two terms represent the number of groups of three players that are all juniors?a.3,003 b.364 c.14C3 d.20 e.6C3; f.14C6 For data set {xi Yi}, the best-fit line y = mx + h can be determined by the formula Elxi x)(yi m - Ei(xi x)2 andb = y mx Here X and y are the average of {xi} and {ya}, respectively. Let's apply the regression analysis to several solar planets and find power-law relation between their semi-major axes and orbita periods T . Below are the original data presented by German astronomer Johannes Kepler in 1596 (a little bit different from modern measurements): Mercury 0.360 0.241 Venus 0.719 0.615 Earth 1.00 1.00 Mars 1.52 1.88 Jupiter Semi-major axis a (au"L 5.24 Orbital period T (vr) 11.9 1 astronomical unit is 149.6 million km (the distance from Earth to the Sun): Saturn 9.16 29.5 If we assume power-law relation T = bxam the linear regression between which two quantities do we need to analyze? (A) T vs a; (B) log T vs a ; (C) T vs log a; (D) logT vs log a. A hammer is thrown upward with a speed of 14 m/s on the surface of planet X where the acceleration due to gravity is 3.5 m/s2 and there is no atmosphere. What is the speed of the hammer after 8.0 s?Please show steps! what are the possible outcomes when species that have long been separated geographically come back into contact and begin hybridizing? If X is normally distributed with a mean of 30 and a standard deviation of 10, find P(30 X 47).a) 0.455b) 0.855c) 0.755d) 0.655e) 0.955f) None of the above The table here shows the no-arbitrage prices of securities A and B that we calculated. Security Security A Security B Market Price Today $237 $338 Cash Flow in One Year Weak Economy Strong Economy $0 $604 $604 $0 a. What are the payoffs of a portfolio of one share of security A and one share of security B? b. What is the market price of this portfolio? What expected return will you earn from holding this portfolio? c. What is the risk-free interest rate? a. What are the payoffs of a portfolio of one share of security A and one share of security B? (Select the best choice below.) A. Portfolio A+B pays $0 in both cases (i.e., it is risk free). B. Portfolio A + B pays $1208 in both cases (i.e., it is risk free). C. Portfolio A+B pays $604 in both cases (i.e., it is risk free). D. Cannot be determined without the discount rate. b. What is the market price of this portfolio? The market price of this portfolio will be $ 575. (Round to the nearest dollar.) c. What is the risk-free interest rate? The risk free rate is %. (Round to two decimal places.) A pediatrician wants to know if there is more variability in two-year-old boys' weights than two- year-old girls' weights (in pounds). She obtains a random sample of 45 two-year-old boys and a random sample of 56 two-year-old girls, measures their weights, and obtains the following statistics: Two-Year-Old Boys Two-Year-Old Girls n=45 n=56 $1-2.27 pounds $2=1.89 pounds Do two-year-old boys have a higher standard deviation weight than two-year-old girls at the a = 0.1 level of significance? (Two-year-olds' weights are known to be normally distributed.) State the conclusion. Which of the following are the three responses to the climate crisis examined by Philip McMichael?a. The Latin Rebellion, agroecology, and the emergence of the BRICS bloc within the World Trade Organization.b. Business as usual, energy transition via biofuels, and the rise of China as a leading industrial power.c. Grassroots initiatives, business as usual, and public initiatives.d. Resource nationalism, business as usual, and agroecology. Solve the IVP for y(x): dy 2 + dr y = 15y3, y(1) = 1 y(x) = __