Convert 8x– 2y = 4 into slope intercept form of a line.

A. y = 4x + 2
B. y = 4x-2
C. y = -4x + 2
D. y= -4x-2

The product of three numbers 2 , 4, 9 will be 72 .

Given,

Absolute values: 2 , 4 , 9

Here 2 can be generated both from 2 and - 2, 4 from 4 and - 4 and 9 from 9 and - 9.

Then, the product of the three numbers is presented below:

|x₁| · |x₂| · |x₃| = 2 · 4 · 9 = 72

The product of the three absolute values is equal to 72.

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True. In game theory and decision theory, the Hurwicz criterion is a decision-making rule between the minimax and maximin criteria.

The Hurwicz criterion is a hybrid of the minimax and maximin criterion. The minimax criterion is concerned with minimising the most potential loss, whereas the maximin criterion is concerned with maximising the least possible gain. The Hurwicz criterion is expressed as a weighted average of the greatest and worst outcomes:

Decision value = α(best payoff) + (1-α)(worst payoff)

where alpha is coefficient representing the decision-maker's optimism or pessimism. The Hurwicz criterion provides a more versatile decision-making tool than the minimax or maximin criteria alone, allowing for a balance between risk-taking and risk-aversion.

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As the degrees of freedom (DF) increase, the t distribution approaches the normal distribution. Therefore, the correct answer option is: C. normal distribution.

The degrees of freedom (DF) in a sample are typically used to correct a possible bias that exists between the alternative and null hypotheses because they are the maximum number of logically independent numerical values (data points) in the final calculation of a statistical problem.

A normal distribution is sometimes referred to as the Gaussian distribution and it can be defined as a probability distribution that is continuous and symmetrical on both sides of the mean, which shows that all data near the mean have a higher frequency than data that are far from the mean.

In this context, we can reasonably infer and logically deduce that the t-distribution generally approaches the normal distribution as the degrees of freedom (DF) increase.

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Two steps that will complete the list correctly are:

4. The original measurement should be multiplied by the conversion factors.

5. Verify that it makes sense.

A conversion factor can be used to switch from one set of units to another by multiplying or dividing a number. When a conversion is necessary, the appropriate conversion factor to an equivalent value must be applied.

Let's use an example of converting from inches to centimeters to address this query.

10 inches should be converted to cm.

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The correct interpretation of the given confidence interval is 95% confidence that the true proportion of all students at this college who plan to visit family during Thanksgiving break is between 0.83 and 0.93 .
Then the required answer to the given question is Option D.


Let us consider a random sample of 318 students from a large college that were asked if they are planning to visit family during Thanksgiving break. Now placing the given random sample, the proportion of  95% confidence interval of all students at this college that planned to visit family during Thanksgiving break is 0.78 to 0.98 .


The formula for evaluating the confidence interval is

CI = p ± z × √((p × (1 - p)) / n)

Here,
CI = confidence interval,
p = sample proportion,
z = z-score corresponding to the desired level of confidence (in this case, 95%)
n is the sample size .

Applying  the values

CI = 0.88 ± 1.96 × √((0.88 × (1 - 0.88)) / 318)
CI = 0.88 ± 0.05
CI = (0.83, 0.93)
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The length of the shadow increasing at the rate of 400 ft/hr

What is angle of elevation ?

Angle of elevation is the angle formed between horizontal line and line of sight.

Let, x be the length of shadow then length of shadow changes at the rate of dx/dt.

we have

tanθ  = 400/ x

x = 400/tanθ

at θ = π/6

x = 400/ tanπ/6

x =692 feet

On differentiating the above equation with respective to

dx/dt = d/dt (400/tanθ)

by using trigonometric formula

dx/dt = d/dt (400cotθ)

by using constant multiple rule

dx/dt = 400 d/dt (cotθ) dθ/dt

by using trigonometric rule

dx/dt = 400(- \(cosec^{2}\)θ) dθ/dt

dx/dt = 400 d/dt(cotθ) dθ/dt

by using tirgonometric rule

dx/dt = 400(- \(cosec^{2}\)θ) dθ/dt

then , substitute the values of

θ = π/6 and dθ/dt

dx/dt = 400*(-4)*(-0.25)

dx/dt = 400 ft/hour

Hence , The length of the shadow increasing at the rate of 400 ft/hr

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a. Approximately 84% of newborns have a respiratory rate within 1.2 standard deviations of the mean.

b. The probability that a newborn selected at random will have a respiratory rate higher than 55 beats per minute is approximately 15.87%.

c. Thirty percent of all newborns have a respiratory rate lower than approximately 47.38 breaths per minute.

d. Approximately 81.33% of samples of 5 newborns will have an average respiratory rate below 52 breaths per minute.

e. Approximately 10.2% of samples of 10 newborns will have an average respiratory rate above 52 breaths per minute.

f. Approximately 39.76% of samples of 10 newborns will have an average respiratory rate between 50 and 52 breaths per minute.

a. 84% of babies have respiratory rates within 1.2 standard deviations of the mean. The normal distribution can calculate this. Finding the area under the normal curve between 1.2 standard deviations above and below the mean gives us the proportion. The proportion of infants in this range is this area.

b. Calculate the area under the normal curve to the right of 55 to discover the probability that a randomly picked infant will have a respiratory rate higher than 55 beats per minute. The z-score formula (x - mean) / standard deviation helps standardise 55. The z-score is 55 - 50 / 5 = 1. Using a calculator or typical normal distribution table, the likelihood of a z-score larger than 1 is 0.1587. The probability is 15.87%, or 0.1587.

c. The 30th percentile z-score determines the respiratory rate below which 30% of neonates fall. 30th percentile z-score is -0.524. A conventional normal distribution table or calculator can identify the z-score associated with an area of 0.3 to the left of it. Multiplying the z-score by the standard deviation and adding it to the mean returns it to its original units. The respiratory rate is (z-score * standard deviation) + mean = (-0.524 * 5) + 50 = 47.38. 30% of neonates breathe less than 47.38 breaths per minute.

d. The average respiratory rate of 5 newborns will follow a normal distribution with the same mean but a standard deviation equal to the population standard deviation divided by the square root of the sample size, which is 5/sqrt(5) = 2.236. To compute the proportion of samples having an average respiratory rate < 52 breaths per minute, we require the z-score. The z-score is 0.8944. The likelihood of a z-score less than 0.8944 is around 0.8133 using a basic normal distribution table or calculator. Thus, 81.33% of 5 newborn samples will have a respiratory rate below 52 breaths per minute.

e. The average respiratory rate of 10 infants will follow a normal distribution with the same mean but a standard deviation of 5/sqrt(10) = 1.5811. We calculate the z-score using (52 - 50) / 1.5811 = 1.2649. The likelihood of a z-score larger than 1.2649 is 0.102. Thus, 10.2% of 10 babies will have a respiratory rate exceeding 52 breaths per minute.

f. Calculate the z-scores for both values to find the fraction of 10 babies with an average respiratory rate between 50 and 52 breaths per minute. (50 - 50) / 1.5811 = 0. (52 - 50) / 1.5811 = 1.2649. The chance of z-scores between 0 and 1.2649 is approximately 0.3976 using a basic normal distribution table or calculator. Thus, 39.76% of 10 newborn samples will have an average respiratory rate of 50–52 breaths per minute.

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Answer: C

Step-by-step explanation: A proportional relationship between two variables x and y is when one variable is always some constant value multiplied by the other. The “constant of proportionality” is the name given to this constant. All proportional relationships can be represented by the equation y =kx , where k is the proportionality constant.

Answer:

associative property

Step-by-step explanation:

because the variables match

Answer:

should be 14

Step-by-step explanation:

you divide 28/3 by 2/3

you get 14

i did it on a calculator

hope this helps

Answer:

14

Step-by-step explanation:

Answer:

5832

Step-by-step explanation:

54+27=81x72=5832

Answer:

Never second guess yourself

Step-by-step explanation:

The volume of cylindrical tin is 1584 \(cm^3\). The depth of the oil in the tin is 9cm.

\(V_1 =\) VOLUME OF CYLINDRICAL TIN

   \(= \pi r^2 h\)

  \(=\frac{22}{7}\) x 6 x 6 x 14

  = 44 x 36

  = 1584 \(cm^3\)

\(V_2 =\) VOLUME OF RECTANGULAR TIN

    = lbh = 1584

    = (16)(11)(h) = 1584

    = 176h =1584

    = h = 1584 / 176

    = h = 9 cm

A cylinder is a three-dimensional shape that consists of a circular base and a curved surface that extends upward to meet at a point known as the apex. The volume of a cylinder is the amount of space occupied by the shape and is given by the formula V = πr²h, Once we have calculated the area of the circular base, we can multiply it by the height of the cylinder to get the volume.

To calculate the volume of a cylinder, we need to know its dimensions, which are the radius and height. The radius is the distance from the center of the circular base to the edge, while the height is the distance between the two circular bases.

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Answer:

a.) x=10

Step-by-step explanation:

3(10)+28= 30+28

58

5(10)+52= 50+52

102

2(10)-10= 20-10

10

58+102+10= 180

Answer:

add all of the angles which equals to 180 degree

being

3x + 28 + 5x + 52 + 2x + 10=180°

which is

10x + 90 = 180

x = 180-90/10

x=11

Step-by-step explanation:

then find the value of x for each angle

second picture unclear.

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For two events A and B in a sample space (a) Pr(AUB) = 1.0000000000001. (b) Pr(AIB) = 0.7840058543652 (c) Pr(BIA) =0.0280920459043 (d) Pr(A') = 1 - Pr(A) = 0.00769999999999996. (e) Pr(A) = 0.9923. (f) Pr(B') = 0.96443. (g) Pr((AUB)') = -1.11022302462516 x 10^-16.

Let A and B be two events in a sample space for which Pr(A) - 0.9923, Pr(B) = 0.0355700000000001 and Pr(AB) 0.02787 then :

a. To find Pr(AUB), we use the formula: Pr(AUB) = Pr(A) + Pr(B) - Pr(AB)
Plugging in the given values, we get: Pr(AUB) = 0.9923 + 0.0355700000000001 - 0.02787 = 1.0000000000001

b. To find Pr(AIB), we use the formula: Pr(AIB) = Pr(AB)/Pr(B)
Plugging in the given values, we get: Pr(AIB) = 0.02787/0.0355700000000001 = 0.7840058543652

c. To find Pr(BIA), we use the formula: Pr(BIA) = Pr(AB)/Pr(A)
Plugging in the given values, we get: Pr(BIA) = 0.02787/0.9923 = 0.0280920459043

d. Pr(A') = 1 - Pr(A) = 0.00769999999999996.

e. Pr(A) is given as 0.9923.

f. Pr(B') = 1 - Pr(B) = 0.96443.

g. To find Pr((AUB)'), we use the formula: Pr((AUB)') = 1 - Pr(AUB)
Plugging in the value we found in part (a), we get: g. Pr((AUB)') = 1 - Pr(AUB) = -1.11022302462516 x 10^-16.
Note that this result is not a valid probability since probabilities must be between 0 and 1.

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Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

1) Let's rewrite each inequality by making some algebraic manipulations:

4x -3y < -3

-x +3y > -6

2) Turning from the Standard form to slope-intercept

4x -3y < -3 Subtract 4x from both sides

-3y < -3 -4x Divide both sides by -3

y > 4/3x +1 Multiplying or Dividing by negative numbers swaps the sign too.

-x +3y > -6 Add x from both sides

3y > -6 -x Divide both sides by 3

y >-2 +x/3

3) Plotting the graph

The possible solutions are in the darker common shaded area, so

(-3,1)

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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The number of cars passing through the intersection between 6 am and 10 am is 3680.

The given rate of traffic flow across an intersection is:r(t) = 200 + 800t - 120t²

We need to determine the number of cars passing through the intersection between 6 am and 10 am, i.e., when t = 0 to t = 4 (since the given rate of flow is in cars per hour).

To find the total number of cars passing through the intersection, we need to integrate the rate of flow with respect to time (t).∫r(t) dt = ∫ (200 + 800t - 120t²) dt = [200t + 400t² - 40t³] / 3 Thus, the number of cars passing through the intersection between 6 am and 10 am is:[200t + 400t² - 40t³] / 3 [between t = 0 and t = 4]

Now, we substitute t = 4 and t = 0 in the equation above and subtract the result we get by putting t = 0 from the result we get by putting t = 4.[200(4) + 400(4)² - 40(4)³] / 3 - [200(0) + 400(0)² - 40(0)³] / 3= [3200 + 6400 - 2560] / 3= 3680 cars.

Hence, the number of cars passing through the intersection between 6 am and 10 am is 3680.

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Answer:

The correct option is "A"

Step-by-step explanation:

a) 11 = 2(5) + 1 = 11

I also did it with the rest of the x and y values and it worked for all of them, i just didnt type them all out

I hope this helps! have a wonderful rest of ur day :)

Answer:

His commission is 104$.

Step-by-step explanation:

1. Find 20% of 520$, which is 104$.

That's the answer! Please mark me as the brainliest!

Researchers must carefully consider their choice of words to avoid bias and ensure a more accurate representation of the responses. 

a. The wordings of the questions contain the word "destroyed" and "80 acres per minute," which could cause the respondent to exaggerate the severity of the issue. Therefore, they may respond with strong negative reactions.

b. The question contains the phrase "vanishing tropical forests," which could cause the respondent to exaggerate the severity of the issue. Therefore, they may respond with strong negative reactions.

c. The question is loaded with the phrase "man-made extinction of animal and plant species," hence, the respondents could lean more towards the idea of the need to prevent it. The question is likely to elicit responses directed toward prevention and preservation.

d. The question contains the phrase "changes in the earth’s atmosphere," which suggests a link between the destruction of tropical forests and changes in the earth’s atmosphere. The question is likely to elicit responses that lean towards agreeing with the statement made in the question. 

Therefore, researchers must carefully consider their choice of words to avoid bias and ensure a more accurate representation of the responses. 

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The North Celestial Pole would appear 61 degrees above your horizon at 29 degrees north latitude and 111 degrees west longitude.

To calculate how many degrees the North Celestial Pole would appear above your horizon, we need to take into account your latitude. At the North Pole, the North Celestial Pole is directly overhead (90 degrees above the horizon), while at the equator, it is on the horizon (0 degrees above the horizon).

The angle between the horizon and the North Celestial Pole is equal to your latitude. Therefore, at 29 degrees north latitude, the North Celestial Pole would appear:

90 degrees - 29 degrees = 61 degrees above the horizon.

So the North Celestial Pole would appear 61 degrees above your horizon at 29 degrees north latitude and 111 degrees west longitude.

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Answer:

20 cubic inches

Step-by-step explanation:

\(1 * 4 * 5 = 20\)

Answer:

6

Step-by-step explanation:

its equivalent to root36 and root 36 is 6

Answer:

D. 6

Step-by-step explanation:

Its basically asking for the square root of 36, which is 6 because if you multiply 6 by itself you get 36.

1) The most interesting aspect was the application of quantitative methods in accounting and finance.

2) The most difficult part was understanding complex statistical concepts and calculations.

In the lectures, the application of quantitative methods in accounting and finance was particularly fascinating. It shed light on how statistical techniques and mathematical models can be employed to analyze financial data, identify patterns, and make informed predictions. This knowledge has significant implications for financial decision-making processes in various sectors.

However, the complex statistical concepts and calculations presented a challenge. Understanding concepts such as regression analysis, time series analysis, and hypothesis testing required careful attention and further study. Nevertheless, by persevering through the difficulties, a deeper comprehension of these quantitative methods can be achieved.

The takeaways from the unit on quantitative methods for accounting and finance are manifold. Firstly, it equips individuals with a solid foundation in quantitative analysis, enabling them to better comprehend and interpret financial data. This empowers professionals in the field to make informed decisions based on evidence and analysis.

Secondly, the unit enhances analytical skills by introducing various statistical techniques and models, enabling individuals to extract valuable insights from financial data. Lastly, the knowledge gained from this unit allows individuals to contribute more effectively to financial planning, risk assessment, and strategic decision-making within organizations.

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Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

The derivative of f(x) = cos(x² - x) is \(3(2x - 1)cos(x^{2} - x)sin(x^{2} - x).\)

To find the derivative of the function f(x) = cos(x² - x), we can use the chain rule.

The chain rule states that if we have a composite function, such as cos(g(x)), the derivative of this composite function is given by the derivative of the outer function multiplied by the derivative of the inner function.

In this case, the outer function is cos(u), where u = x² - x, and the inner function is u = x² - x.

The derivative of the outer function cos(u) is -sin(u).

To find the derivative of the inner function u = x² - x, we apply the power rule and the constant rule. The power rule states that the derivative of x^n, where n is a constant, is nx^(n-1), and the constant rule states that the derivative of a constant times a function is equal to the constant times the derivative of the function.

Applying the power rule and the constant rule, we find that the derivative of u = x² - x is du/dx = 2x - 1.

Now, using the chain rule, the derivative of f(x) = cos(x² - x) is given by:

df/dx = \(-sin(x^{2} - x) * (2x - 1)\)

Simplifying, we have:

df/dx = -\(2xsin(xx^{2} - x) + sin(x^{2} - x)\)

Therefore, the correct answer is option a. 3(2x-1)cos(x²-x)sin(x²-x).

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