Billy made 2 gallons of juice for a picnic. He said that he made
2
4
quarts of juice.

Answers

Answer 1
okay so what’s the question

Related Questions

Using the Excel file Weddings, apply the Excel Regression tool using the wedding cost as the dependent variable and attendance as the independent variable. Interpret all key regression results, hypothesis tests, and confidence intervals in the output. Analyze the residuals to determine if the assumptions underlying the regression analysis are valid. Use the standard residuals to determine if any possible outliers exist. If a couple is planning a wedding for 175 guests, how much should they budget?

Answers

Using the Excel Regression tool on the Weddings dataset with wedding cost as the dependent variable and attendance as the independent variable, the key regression results, hypothesis tests, and confidence intervals should be interpreted.

After applying the Excel Regression tool with wedding cost as the dependent variable and attendance as the independent variable, the key regression results should be examined. These results typically include coefficients, standard errors, t-values, p-values, and confidence intervals. The coefficient for the independent variable (attendance) represents the estimated change in the wedding cost for each unit increase in attendance. Hypothesis tests and confidence intervals help assess the statistical significance and precision of the estimated coefficients. The t-value indicates the strength of evidence against the null hypothesis of no relationship between the variables, and the p-value indicates the probability of observing the estimated coefficient under the null hypothesis. Lower p-values suggest stronger evidence against the null hypothesis. To validate the assumptions of the regression analysis, the residuals (the differences between the observed and predicted values) should be analyzed. Residual plots can be examined to check for patterns or deviations from assumptions, such as linearity, independence, and constant variance. Outliers can be identified by examining the standardized residuals. Values with high absolute values indicate potential outliers. To estimate the budget for a wedding with 175 guests, the regression model can be used to predict the corresponding cost. The attendance value of 175 can be plugged into the regression equation, and the predicted wedding cost can be obtained.

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if you want to be 99onfident of estimating the population mean to within a sampling error of ±3 and the standard deviation is assumed to be 14, what sample size is required?
The sample size required is_________

Answers

The sample size required is 357.

Here's how to solve the problem:

Given that we need to be 99% confident of estimating the population mean to within a sampling error of ±3.

So, the margin of error (E) = 3 z-score for 99% confidence level = 2.58 (from standard normal distribution table)

The formula for sample size is:n = [z² * σ²] / E²

Where, n = sample size, σ = standard deviation of the population,

E = margin of error, and z = z-score

For a 99% confidence level, the z-score = 2.58

Substitute the given values in the formula:n = [2.58² * 14²] / 3²= 357.15≈ 357

Therefore, the sample size required is 357.

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Conservative change function is given in terms of dimensionless variables as:

-dg/dt + (1-g^2)dg/dx =0, - [infinity]0

a) Which condition must g provide for function to oppose the traffic rules.

b) What is vehicles’ maximum velocity (Umax)=?

c) inital condition is given as: g(x,0)= 1-x. Find the value of g(1,1)=?

Answers

To oppose the traffic rules, the function g must satisfy |g(x)| > 1. The maximum velocity of the vehicles is Umax = 0. Finally, the value of g(1,1) is 0 based on the given initial condition.

a) For the function g to oppose the traffic rules, it must satisfy the condition |g(x)| > 1. In other words, the absolute value of g must be greater than 1. This condition indicates that the function represents a vehicle moving in the opposite direction of traffic flow.

b) To determine the maximum velocity of the vehicles (Umax), we can analyze the equation -dg/dt + (1-g^2)dg/dx = 0. By setting dg/dx = 0, we can find the critical points where the velocity is maximum. In this case, when g = ±1, the term (1-g^2) reaches its maximum value of 0. Therefore, the maximum velocity of the vehicles is Umax = 0.

c) Given the initial condition g(x,0) = 1 - x, we can find the value of g(1,1) by substituting x = 1 into the function. Thus, g(1,1) = 1 - 1 = 0. Therefore, the value of g(1,1) is 0.

In summary, to oppose the traffic rules, the function g must satisfy |g(x)| > 1. The maximum velocity of the vehicles is Umax = 0. Finally, the value of g(1,1) is 0 based on the given initial condition.

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Evaluate for f(8), show all your work: f(x)=x2+10

Answers

Answer:

[tex]f(8)=74[/tex]

Step-by-step explanation:

[tex]f(8)=8^2+10=64+10=74[/tex]

shoes
11 cm
8.8 cm
18.4 cm

Answers

11 x 8.8 x 18.4= 1,782

“Calculate the lengths of the 2 unlabeled sides”

Answers

Answer:

NL = 4.33

NM = 5

Step-by-step explanation:

tan 60° = NL/2.5

tan 60° = 1.7321

so:

1.7321 = NL/2.5

NL = (2.5)(1.7321)

NL = 4.33

cos 60° = 2.5/NM

cos 60° = 0.5

so:

0.5 = 2.5.NM

NM = 2.5/0.5

NM = 5

volume of a cylinder that has a diameter of 16 and a height of 7

Answers

Answer:

volume of a cylinder = 1408

hope this answer helps you...

Answer:

1407.616

Step-by-step explanation:

Volume of cylinder=πr²h

V=3.142×8×8×7

V=1407.616

NOTE: radius =diameter/2=16/2

giving 8.










Given the following sets, find the set (A U B) O (AUC). U = {1, 2, 3, ..., 10) 3 , A = {1, 2, 3, 7} B = {1, 3, 10} C = {1, 2, 3, 6, 8}

Answers

The set (A U B) O (AUC) is {1, 2, 3, 6, 7, 8, 10}.

The following steps can be used to find the set (A U B) O (AUC):

Step 1: Find A U B {1, 2, 3, 7} U {1, 3, 10} = {1, 2, 3, 7, 10}

Step 2: Find (A U B) U C({1, 2, 3, 7, 10} U {1, 2, 3, 6, 8}) = {1, 2, 3, 6, 7, 8, 10}

A set is a group of things. The objects (or elements) that make up a set are often listed within curly brackets, and sets are typically identified by a letter. It's important to keep in mind that a set is an unordered collection of objects, meaning that it doesn't matter what order the elements are listed in. are viewed as being equivalent.

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Which of the following is typical of the starting work geometry in sheet metal processes: (a) high volume to area ratio or (b) low volume to area ratio?

Answers

The correct answer is (b) low volume to area ratio is typical of the starting work geometry in sheet metal processes.

Explanation: Sheet metal processing is the method of shaping metal objects to create complex shapes and designs.

Cutting, punching, stamping, and forming are the most common sheet metal processes.

The workpiece's original shape and size are critical considerations in sheet metal processing.

The workpiece's geometry plays an important role in sheet metal processes.

The term volume-to-area ratio refers to the quantity of metal in a part divided by the surface area of that part.

The ratio is low in the case of sheet metal processing. Sheet metal workpieces have a high surface area-to-volume ratio.

This is due to the fact that sheet metal workpieces are often quite thin.

Because of this, sheet metal workpieces are lightweight.

Furthermore, thin sheets are more pliable and can be easily formed into various forms.

This geometry is ideal for sheet metal work since it allows for greater flexibility during processing.

In sheet metal processing, low volume-to-area ratios are typical of the starting work geometry.

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Consider the first three terms of the sequence below.

14000, 12600, 11340

Complete a recursively-defined function to describe this sequence.
f(1) = _____
f(n) = f(n - 1) · ___, for n ≥ 2
The next term in the sequence is ____.

Answers

Answer:

f(1) = 14000

f(n) = f(n - 1) · 0.9 , for n ≥ 2

The next term in the sequence is 10206 .

Step-by-step explanation:

First we try to find the type of sequence it is.

Is there a common difference?

12600 - 14000 = -1400

11340 - 12600 = -1260

There is no common difference, so it is not an arithmetic sequence.

12600/14000 = 0.9

11340/12600 = 0.9

There is a common ratio, so this is a geometric sequence.

Each term is 0.9 times the previous term.

The next term is:

11340 * 0.9 = 10206

Answer:

f(1) = 14000

f(n) = f(n - 1) · 0.9 , for n ≥ 2

The next term in the sequence is 10206 .

Which answer choice below lists only personal financial assets?
А
car, savings, mortgage loan
B
personal savings, college fund, 401K retirement fund
C
credit cards, home equity loan, retirement fund
D
boat, personal loans, savings

Answers

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

HELP PLEASE!!! WILL CROWN BRAINLIEST....
The temperature on Sunday was 7 C. The temperature dropped 8 C on Monday
and dropped twice as much on Tuesday. What was the temperature on Tuesday?

Answers

Answer: - 17 C

Step-by-step explanation: 7 - 8 is negative 1 and twice as much of 8 is 16. -1 minus 16 is negative 17 (-17).

I WILL MARK BRAINLIEST

Answers

Answer:

A.

Step-by-step explanation:

hi hottie, pls help me !
Mrs. St. Louis purchased an iPhone 12 Pro. The decreasing value of her phone, after t years, is modeled by the function V(t)=1,200(0.65)^t
Fill in the numbers from the options to correctly complete the statements interpreting this function.
The phone initially cost $______
The value of the phone is depreciating at a rate of _____ % each year.

Answers

Answer:

1200

0.65

The answers are in the function

At what number of days will the cost of attendance be the same for both preschools?

Answers

Answer:

Forgot the pic ?

Step-by-step explanation:

Can you give me the answer to this

Answers

Answer: I think A

Step-by-step explanation:

ASAP HELP MATH!!!!!!!! 1st PERSON GETS BRAINLIEST

Answers

It would be y-x because writing it in absolute value means the solution will always be positive. We could have |3-4| and it would be |-1| or 1. Absolute value is always positive.
In this case, 3>1

It is commonly recognized that a poor environment (for example, poverty, low educational level of parents) and the presence of stressors (for example divorce of parents, abuse) are associated with lower IQs in children. Recent research indicates that a child's IQ is related to the number of such risk factors in the children's background, regardless of which specific factors are present. Below are the numbers of risk factors and the IQs of 12 children.

Child

Risk factors (x)

IQ (y)

A

3

112

B

6

82

C

0

105

D

5

102

E

1

115

F

1

101

G

5

94

H

4

89

I

3

98

J

3

109

K

4

91

L

2

107

A. Draw a scatterplot of the data. What does the plot tell you? Determine the regression equation. Be sure to include an interpretation of each parameter in the regression equation.

B. What IQ do you predict for James, who has 5 risk factors, versus Elizabeth, who has only 2?

Answers

A) The scatterplot of the data is as follows:What can we interpret from the scatterplot of the given data?We can observe that the higher the number of risk factors, the lower the IQ of the children. This fact is supported by the trend line that shows a negative correlation. This is what the plot is telling us.A regression equation is given by the formula: $y=\beta_0+\beta_1x$Where, $y$ is the IQ of the child, $x$ is the number of risk factors, $\beta_0$ is the y-intercept and $\beta_1$ is the slope of the line.Both $\beta_0$ and $\beta_1$ can be calculated using the following formulae: $$\beta_1=r_{xy}\frac{s_y}{s_x}$$$$\beta_0=\bar{y}-\beta_1\bar{x}$$Where, $r_{xy}$ is the correlation coefficient between $x$ and $y$, $s_x$ and $s_y$ are the standard deviations of $x$ and $y$ respectively, and $\bar{x}$ and $\bar{y}$ are the means of $x$ and $y$ respectively.From the scatterplot, we can observe that $r_{xy}$ is negative. Therefore, there exists a negative correlation between $x$ and $y$.Let us calculate the values of $\beta_1$, $\beta_0$ using the above formulae.$$r_{xy}=\frac{\sum(x-\bar{x})(y-\bar{y})}{\sqrt{\sum(x-\bar{x})^2\sum(y-\bar{y})^2}}$$$$r_{xy}=\frac{(3)(112)+(6)(82)+(0)(105)+(5)(102)+(1)(115)+(1)(101)+(5)(94)+(4)(89)+(3)(98)+(3)(109)+(4)(91)+(2)(107)}{\sqrt{(3^2+6^2+0^2+5^2+1^2+1^2+5^2+4^2+3^2+3^2+4^2+2^2)(112^2+82^2+105^2+102^2+115^2+101^2+94^2+89^2+98^2+109^2+91^2+107^2)}}$$$$r_{xy}=-0.835$$Now, let's calculate the standard deviations of $x$ and $y$:$$s_x=\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}$$$$s_y=\sqrt{\frac{\sum(y-\bar{y})^2}{n-1}}$$$$s_x=\sqrt{\frac{(3-2)^2+(6-2)^2+(0-2)^2+(5-2)^2+(1-2)^2+(1-2)^2+(5-2)^2+(4-2)^2+(3-2)^2+(3-2)^2+(4-2)^2+(2-2)^2}{12-1}}$$$$s_x=\sqrt{\frac{44}{11}}=2$$$$s_y=\sqrt{\frac{\sum(y-\bar{y})^2}{n-1}}$$$$s_y=\sqrt{\frac{(112-99.17)^2+(82-99.17)^2+(105-99.17)^2+(102-99.17)^2+(115-99.17)^2+(101-99.17)^2+(94-99.17)^2+(89-99.17)^2+(98-99.17)^2+(109-99.17)^2+(91-99.17)^2+(107-99.17)^2}{12-1}}$$$$s_y=\sqrt{\frac{5626.1}{11}}=9.025$$Finally, let's calculate $\beta_1$ and $\beta_0$:$$\beta_1=r_{xy}\frac{s_y}{s_x}$$$$\beta_1=-0.835\frac{9.025}{2}=-3.762$$$$\beta_0=\bar{y}-\beta_1\bar{x}$$$$\beta_0=99.17-(-3.762)(3.08)=112.91$$Therefore, the regression equation is $y=112.91-3.762x$.Here, $\beta_0=112.91$ represents the expected IQ of a child with zero risk factors, while $\beta_1=-3.762$ represents the decrease in IQ per risk factor.B) James has 5 risk factors. Substituting $x=5$ in the regression equation, we get:$$y=112.91-3.762x$$$$y=112.91-3.762(5)$$$$y=93.13$$Therefore, the IQ predicted for James is $93.13$.Similarly, Elizabeth has 2 risk factors. Substituting $x=2$ in the regression equation, we get:$$y=112.91-3.762x$$$$y=112.91-3.762(2)$$$$y=105.39$$Therefore, the IQ predicted for Elizabeth is $105.39$.

Multiply the additive inverse of -1/14 with the multiplicative inverse of 21/49.

Chapter : Rational Numbers​

Answers

Answer:

1/6

Step-by-step explanation:

When we talk of additive inverse, we mean the value we will add to a certain number to give 0

for example, the additive inverse of 4 is -4

Hence, the additive inverse of -1/14 is 1/14

The

multiplicative inverse is the number multiplied by another that gives 1

For example, the multiplicative inverse of 4 is 1/4

Thus, we have it that;

multiplicative inverse of 21/49 is 49/21

multiplying;

1/14 * 49/21 = 1/6

Answer:

Answer:

1/6

Step-by-step explanation:

When we talk of additive inverse, we mean the value we will add to a certain number to give 0

for example, the additive inverse of 4 is -4

Hence, the additive inverse of -1/14 is 1/14

The

multiplicative inverse is the number multiplied by another that gives 1

For example, the multiplicative inverse of 4 is 1/4

Step-by-step explanation:

I need help quick please

Answers

i’ll tell you on discord, add me there my user is ri#0511

Answer: 0.1562 I believe

Find the volume of the cylinder whose base area is (4x)2 and height is (5x)2.

Answers

Answer:

Step-by-step explanation:

The computation of the volume of the cylinder is shown below:

As we know that

The Volume of the cylinder is

= base × height

= (4x)^2 + (5x)^2

=16x^2 + 25x^2

= 41x^3

Hence, the volume of the cylinder is 41x^3

The volume of the cylinder will be [tex]20x^2[/tex] .

What is volume ?

Volume is the amount of space that something contains or fills.

Volume [tex]=Length*Breadth*Height[/tex]

We have,

Base area  [tex]=(4x)^2[/tex]

Height [tex]= (5x)^2[/tex]

So,

Volume of the cylinder [tex]=Base\ Area*Height[/tex]

                                        [tex]= (4x)^2* (5x)^2[/tex]

Volume of the cylinder [tex]=20x^2[/tex]

Hence, we can say that the volume of the cylinder will be [tex]20x^2[/tex] .

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Someone pls help me solve this problem. No guessing
Use the photo below to solve for x

Answers

Answer:

x = 6

Step-by-step explanation:

9/x = 12/8

12x = 72

/12     /12

x = 6

hope this helps ^^

π (pi) is an unending decimal. Find the Circumference of the circle below using exact π (pi).

Answers

Step-by-step explanation:

Given radius, r = 5,

Circumference of Circle, C

[tex] = 2\pi \: r \\ = 2\pi(5) \\ = 10\pi \: units[/tex]

Answer:

[tex]10\pi[/tex]

Step-by-step explanation:

As the hint below says:

[tex]C = 2\pi r[/tex]

We also know that

r = 5

So thus:

[tex]C = 2 \pi \cdot 5 = 10\pi[/tex]

Which of the following statements about group decision making is true? If enough time is available, groups usually make higher-quality decisions than most individuals. If enough time is available, most individuals usually make higher-quality decisions than a group. There are far more disadvantages than advantages to group decision making. Individual decisions are generally more difficult to reach than group decisions. Group decisions should rarely be used to address significant business problems.

Answers

The statement "If enough time is available, groups usually make higher-quality decisions than most individuals" is true.

Group decision-making has both advantages and disadvantages, but when enough time is available, groups tend to make higher-quality decisions compared to most individuals. This is due to several reasons. First, groups offer diverse perspectives and expertise, allowing for a broader range of ideas and insights.

Different individuals bring unique knowledge and experiences to the table, leading to a more comprehensive examination of the problem. Second, group decision-making involves collective scrutiny and evaluation of options, which helps in identifying potential flaws or biases in individual opinions.

Group discussions allow for critical analysis, debate, and challenging of assumptions, leading to a more thorough decision-making process. However, it is important to note that time constraints can impact the effectiveness of group decision-making. When time is limited, individual decision-making may be more efficient.

Additionally, the success of group decision-making also depends on factors such as group dynamics, effective communication, and skilled facilitation. Therefore, while groups have the potential for making higher-quality decisions, it is essential to consider the specific context and constraints when determining the most appropriate approach to decision making.

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The lumen output was determined for each of k = 3 different brands of lightbulbs having the same wattage, with n_j = 8 bulbs of each brand tested (this is the number of observations in each treatment group). The sums of squares were computed as MSTr = 297.850 and MSE = 227.619. State the hypotheses of interest (including word definitions of parameters).
µ_j = sample average lumen output for brand j bulbs
µ_o : µ_1≠µ_2≠µ_3
H_a: all three µ_j's are equal

µ_j = sample average lumen output for brand i bulbs
µ_o : µ_1=µ_2=µ_3
H_a: all three µ_j's are unequal

µ_j = true average lumen output for brand i bulbs
µ_o : µ_1≠µ_2≠µ_3
H_a: at least two µ_j's are equal

µ_j= true average lumen output for brand i bulbs
µ_o : µ_1=µ_2=µ_3
H_a: at least two µ_j's are unequal

Use the Single Factor ANOVA F test with (α = 0.05) to decide whether there are any differences in true average lumen outputs among the three brands for this type of bulb. Calculate the F test statistic then use software to find your p-value, Recall the p-value from an F test is always the area to the right of the F test statistic.

f statistic = _______ (Round your answer to two decimal places.)
p-value = ________(Round your answer to four places.)

State the conclusion in the problem context.

Fail to reject H_o. There are statistically significant differences in the lumen output.
Fail to reject H_o. There are no statistically significant differences in the lumen output.
Reject H_o. There are statistically significant differences in the lumen output. Reject H_o. There are no statistically significant differences in the lumen output.

Answers

Using the Single Factor ANOVA F test with a significance level of α = 0.05, the F test statistic can be calculated to determine if there are any differences in the true average lumen outputs among the three brands of lightbulbs.

The p-value is then obtained from the software. Based on the conclusion derived from the p-value, either the null hypothesis (H0) is rejected, indicating statistically significant differences in the lumen output, or it is failed to be rejected, suggesting no statistically significant differences.

To determine if there are any differences in the true average lumen outputs among the three brands of lightbulbs, a Single Factor ANOVA F test is conducted. The null hypothesis (H0) assumes that there are no differences, while the alternative hypothesis (Ha) suggests that there are differences among the means.

The F-test statistic is calculated by dividing the mean square between treatments (MSTr) by the mean square error (MSE). The F-test statistic is not provided in the question, so it needs to be calculated using the given information.

The p-value, which represents the probability of obtaining test results as extreme as observed or more extreme, is obtained using software. The p-value is the area to the right of the F-test statistic in the F-distribution.

Based on the obtained p-value and a significance level of α = 0.05, the conclusion is made. If the p-value is less than 0.05, the null hypothesis (H0) is rejected, indicating statistically significant differences in the lumen output among the three brands. If the p-value is greater than or equal to 0.05, the null hypothesis (H0) is failed to be rejected, suggesting no statistically significant differences.

The conclusion should be stated based on the calculated p-value and the significance level. It could either be "Reject H0. There are statistically significant differences in the lumen output" or "Fail to reject H0. There are no statistically significant differences in the lumen output."

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Solve the following: 6 sin² x Your answer [APPL- 6 marks] 5 cos x 20 for 0 ≤ x ≤ 2π

Answers

The solutions are x = 0, π, and 2π for the trigonometric equation 6 sin² x = 5 cos x + 20.

To solve the given equation:

6 sin² x = 5 cos x + 20

We can use the trigonometric identity:

sin² x + cos² x = 1

Multiplying both sides by 6, we get:

6 sin² x + 6 cos² x = 6

Substituting 1 - sin² x for cos² x, we get:

6 sin² x + 6 (1 - sin² x) = 6

Simplifying the equation, we get:

6 - sin² x = 6

sin² x = 0

Taking the square root of both sides, we get:

sin x = 0

x = nπ, where n is an integer.

Substituting this value in the original equation, we get:

6(0)² = 5(cos(nπ)) + 20

0 = (-1)n + 4

n must be even for the equation to hold true. Therefore, the solutions are:

x = 0, π, and 2π.

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tyler wants to buy a new television that costs $312.

Answers

Answer:

ummm is there more to the problem?!

Cool.... the question???

6р + 22 – 10
Help me please

Answers

Answer:

P = -2

Step-by-step explanation:

6p +22 =10

     -22    -22

6p= -12

6       6

p=  -2

Im pretty sure thats it.

A filing cabinet is 2 yards long by 2 feet wide by 48 inches high. What is the volume of the filing cabinet in cubic inches? Enter your answer in the box.

Answers

Answer:

82944 in^3

Step-by-step explanation:

Volume = length x breadth x height

Before volume can be calculated, feet and yards needs to be converted to inches

1 yard = 36 inches

2 x 36 = 72 inches

1 foot = 12 inches

2 x 12 = 24 inches

Volume = 72 x 48 x 24 = 82944 in^3

WILL GIVE BRAINLIEST FOR BEST ANSWER NO LINKS!!!!*Use the data from the dot plot below to answer the question. The data shows games of a soccer season and the number of goals scored in each game.
Which goals were scored the fewest amount of times during the soccer season?





Question 5 options:


3



0, 7



1, 4, 5, 6



2

Answers

0, 7

0 and 7 have the least amount of dots.

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a. the direct interaction between fish and larval dragonfly leads to what, if any, change in larval dragonfly density (i.e., increase, decrease, no change, cannot be determined)? Solve the spherical mirror equation for s'.s' = 1/f - 1/s A typical faucet running for two minutes could waste about 10 gallons of water. A newspaper reports that a running faucet wastes about 0. 08 gallons of water per second. Which of these statements is correct about the information provided by the newspaper?It is reliable because 5 divided by 60 is 0. 8. It is reliable because 10 divided by 125 is 0. 8. It is unreliable because 5 divided by 10 is more than 0. 8. It is unreliable because 10 divided by 60 is more than 0. 8 A review of the literature (a meta-analysis) on the relationship between sport involvement and delinquency found that overall there was no link between sport participation and delinquency participation in sport reduced delinquency participation in sport increased delinquency participation in team sports increased delinquency O participation in individual sports decreased delinquency Recognizing that many factors may have contributed to a patient's current situation is an example of which of the following? A. Biomedical model B. Psychosocial framework C. Overdeterminism D. Resiliency Which one of the following measures a bond's sensitivity to changes in market interest rates? A. maturity B. yield to maturity C. duration D. Immunication E. Veld to call Name two pairs of congruent angles In the united states, which is the most significant cause of health disparities? Growth in aggregate demand will:a. Choix de groupe de rponsesb. increase unemployment.c. move the economy to a higher point on the short-run Phillips curve.d. cause the short-run Phillips curve to shift to the left.e. cause deflation. 1f two events are independent, then the probability that they both occur is (A) one (B) zero (C) the sum of the probabilities of each event (D) the product of the probabilities of each event (E) the difference of the probabilities of each event class Exam{private int myA, myB;private final int MAX = 100;public Exam( ) { myA = myB = 100; }public Exam ( int a, int b ) { myA = a; myB = b; }public void setA(int a) { myA = a; }public void setB(int b) { myB = b; }public int getA() { return myA; }public int getB() { return myB; }public String toString( ) { return getA() + " " + getB(); }}How many constructor methods are there in Folder? 20 Beta Ltd used the following data to evaluate its current operating system.The company sells items for $24 each and used a budgeted selling price of $24 per unit. Actual : Budgeted Units sold 177.000 units 184,000 units Variable costs $1.090,000 $1,290,000 Fixed costs $804,000 $780.000What is the static-budget variance of contribution margin?a. $8.000 favourable b. $8,000 unfavourable c. $32,000 favourable d. $32.000 unfavourable e. None of the answers. Which of the following statements is incorrect regarding common stock?a) Common stock is issued more narrowly than preferred stock.b) The common stockholders have voting rights.c) The common stockholders get paid after the creditors in the event of the liquidation of the corporation.d) Common stock is the form of stock that most shareholders of a corporation own.e) The common stockholders elect the board of directors. Alvie Thompkins was employed as a full-time instructor of mathematics at Morris Brown College. Her classes were scheduled in academic year 20072008 in such a way that she was able to hold down a second full-time post as a math instructor at Douglas High School. Only one other faculty member, Thompkinss predecessor at Morris Brown College, ever held down two concurrent full-time jobs, and the colleges vice president for academic affairs testified that he had never been aware of this earlier situation. Some male part-time faculty of the college were employed full-time elsewhere. Although labeled part-timers, some of these faculty sometimes taught 9 to 12 credit hours per semester, which was about the same as many "full-time" faculty. Thompkins was told to choose between her two full-time jobs. When she refused to make a choice, she was fired. Is this a case of gender discrimination? Explain your answer. [See Thompkins v. Morris Brown College, 752 F.2d 558, 37 F.E.P. Cases 24 (11th Cir. 1985).] Which of break-even analysis would yield to negative net presentvalueAccounting break-even analysisCashflow break-even analysisFinancial Break-even analysis USA Widgets Inc. is a company located in Anytown, U.S.A. and makes widgets. Foreign Importer Inc, located in the country Foreignsica, offers to import from USAWidgets Inc. 1 million widgets. USA Widgets is willing to sell 1 million widgets to them and, taking into account various expenses, is willing to sell at the price of one U.S. Dollar (USD1.00) per widget. The exchange value between US Dollars and the Foreignsica Floreign is such that one U.S. Dollar is worth 2 Foreignsica Floreigns (USD1.00 = 2 Fl.)The two parties to this transaction have agreed to the following terms: This transaction will be financed by a letter of credit that the buyer will have issued by a U.S. bank in favor of the seller and drafts presented under this letter of credit will be drawn at 90 day sight. The seller specifically requested that that the letter of credit be issued by Big USA Bank in Anytown, U.S.A., and the buyer has agreed. The widgets are to be shipped to the buyer in one shipment and the exporter is expected to draw under the letter of credit by presenting its draft in the amount of USD1 million drawn at 90 days sight accompanied by the following documents: invoice, packing list, and on-board ocean bill of lading. If all documentation required under the L/C is in order, Big USA Bank will accept the draft under their letter of credit, which stipulated acceptance fee (1.5% per annum] and discount fee (4% per annum] are for account of the seller.Q1 Who is the seller?Q2 Who is the buyer?Q3 Who is the exporter?Q4 Who is the importer?Q5 Who asks for the L/C to be issued (L/C account party)?Q6 Who is the beneficiary of the L/C?Q7 List advantages the letter of credit financing vehicle offers the buyer and seller over other methods of payment:Q8 What will the purchase price for the widgets be equivalent to in Foreignsica Floreigns?Q9 What amount will the seller net if seller decides to discount the draft? (based on 90 days)Q10 Of what business value (benefit) is it to seller to discount the draft? (List benefits)Q11 Of what business value (benefit) is it to seller not to discount the draft, but instead wait until maturity to receive payment? (List benefits)Q12 How is the seller "financing" the buyer through this letter of credit, and of what business value (benefit) is this to the buyer? (List benefits)Q13 List reasons why the seller requested the letter of credit be issued by a U.S. bank, when the buyer is located in a foreign country, Foreignsica: If new drugs were copied and produced until the price was equal to the production cost: O A. pharmaceutical companies would not be able to produce enough output to keep up with demand. O B. the innovator would have no way to recoup the research and development costs. OC. the market for new drugs would greatly expand due to the increase in demand. O D. demand for new drugs would fall until the marginal value equaled the market price. SUBMIT an organizations _____ and board of directors are responsible for governance. group of answer choices executives customers retailers clients which area of wellness encourages having a support network of caring friends and family members? .emotional wellness .spiritual wellness .social wellness .physical wellness What additional primary or secondary data should jeff gather tocomplete the feasibility study and the business plan. For thecompany?