Because of the Central Limit Theorem, the normal distribution is also a good approximation for the Poisson distribution. For a draw from a Poisson with parameter 1 = 37, what is the theoretical mean?

Answers

Answer 1

The theoretical mean for a draw from a Poisson distribution with parameter λ is equal to λ itself. In this case, λ = 37, so the theoretical mean is also 37.

Explanation:

The Poisson distribution is commonly used to model the number of events occurring within a fixed interval of time or space, when these events occur with a known average rate λ. The probability mass function of the Poisson distribution is given by P(X=k) = (e^(-λ) * λ^k) / k!, where X represents the random variable representing the number of events and k is the observed value.

The Central Limit Theorem states that when independent random variables are added, their sum tends toward a normal distribution, regardless of the shape of the original distribution. For a Poisson distribution, as the parameter λ increases, the distribution becomes more symmetric and bell-shaped, resembling a normal distribution.

Since the mean of a Poisson distribution is equal to its parameter λ, the theoretical mean for a draw from a Poisson distribution with parameter 1 = 37 is 37. This means that, on average, 37 events are expected to occur within the given interval.

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Related Questions

please help me it's worth 10+ points

Answers

Answer:

10, 12 and 11

Step-by-step explanation:

On each median , the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint.

TZ = 2 × ZX = 2 × 5 = 10

UY = UZ + ZY = 8 + 4 = 12

ZW = [tex]\frac{1}{3}[/tex] × VW = [tex]\frac{1}{3}[/tex] × 33 = 11

Given f(x)= 5 (6) x for rexeh 1 o elsewhere for a continuous veidon variable z. (a) Compute p(2.4 x <3). (6) Compite Elx)

Answers

a.  the value of P(2.4 < x < 3) is 8.1.

b. the value of E(X) is 10.

Given function is f(x) = 5(6)x for x≥1 and elsewhere for a continuous random variable z.  

a. Compute P(2.4 < x < 3)

For continuous random variable, P(a < x < b) = ∫f(x)dx, where f(x) is the probability density function (PDF).

Here, f(x) = 5(6)x for x≥1 and elsewhere

So, P(2.4 < x < 3) = ∫f(x)dx = ∫2.4^35(6)xdx= 5 ∫2.4^36xdx= 5 [(3^2 - 2.4^2)/2] = 5 [(9 - 5.76)/2] = 5 [1.62] = 8.1

Hence, the value of P(2.4 < x < 3) is 8.1.

b. Compute E(X)Expected value of X is given by E(X) = ∫xf(x)dxFor continuous random variable, E(X) = ∫xf(x)dx, where f(x) is the probability density function (PDF).Here, f(x) = 5(6)x for x≥1 and elsewhereSo, E(X) = ∫xf(x)dx = ∫1∞5(6)x.xdx+ ∫-∞0 0dx= 5 ∫1∞6x^2dx+ 0 = 5 [(6) (x^3)/3]1∞= 5 [(6) (1^3)/3] = 10

Hence, the value of E(X) is 10.

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Given f(x)= 5 (6) x for rexeh 1 o elsewhere for a continuous veidon variable z. We are required to compute p(2.4 < x <3) and E(x).

Compute p(2.4 < x <3)For the given function, f(x) = 5 (6) x for 1 ≤ x ≤ 3 and 0 elsewhere.

So, the total area under the curve will be equal to 5 (6) 2 = 60.

And the required probability is given by the area under the curve from 2.4 to 3.  [Illustration is provided below]

Hence, p(2.4 < x <3) = 3.6

(b)Compute E(x)Expected value of x, E(x) is given by E(x) = ∫xf(x) dx,

which is equal to the area under the curve multiplied by the distance over which the function is spread.

Let's calculate the area under the curve, which is equal to 60, as we have calculated earlier.

Now, we calculate the distance over which the function is spread.

Distance = 3 - 1 = 2 unitsHence, E(x) = 60/2 = 30.

Answer:Therefore, p(2.4 < x <3) = 3.6 and E(x) = 30.

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Essie has two identical containers she fell one with milk and the other with water if the first container holds about 10 L of milk how much does the second container holds

Answers

Answer:

10 liters of water

Step-by-step explanation:

Given

[tex]A = 10L\ milk[/tex]

Required

How much the second holds

Since they are both identical, then both containers hold the same volume (even if the quantity they hold are different)

Hence:

[tex]B = 10L\ water[/tex]

Suppose there is a family with four children. Assume that it is equally probable for a boy or a girl to be born. a. What is the probability of all girls? b. What is the probability of all girls given there is at west one girl? c. What is the probability of at least one boy and one girl?

Answers

a. The probability of all girls in a family with four children is 1/16 or 0.0625.

b. The probability of all girls given there is at least one girl is 1/15 or 0.0667.

c. The probability of having at least one boy and one girl in a family with four children is 15/16 or 0.9375.

a. To calculate the probability of all girls, we need to consider the possible outcomes of each child being a girl. Since each child has an independent probability of being a girl or a boy, the probability of all girls is (1/2) * (1/2) * (1/2) * (1/2) = 1/16 or 0.0625.

b. Given that there is at least one girl, we have three remaining children. The probability of all girls among the three remaining children is (1/2) * (1/2) * (1/2) = 1/8. Therefore, the probability of all girls given there is at least one girl is 1/8 divided by the probability of having at least one girl, which is 1 - (1/2)⁴ = 15/16, resulting in a probability of 1/15 or approximately 0.0667.

c. The probability of having at least one boy and one girl can be calculated by subtracting the probability of having all boys from the total probability space. The probability of having all boys is (1/2)⁴ = 1/16. Therefore, the probability of having at least one boy and one girl is 1 - 1/16 = 15/16 or approximately 0.9375. This probability accounts for all possible combinations of boys and girls in a family with four children, excluding the scenario of having all boys.

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PLS HELP ILL MARK AS MY BRAINLESS

Answers

Answer:

They a similar because they both had zero as their final answer. Andre decided to do 3 x 200 while Jada  decided to do 3 x 50. Andre work is more complicated and uses big number while Jada's work uses small numbers and are more easier to do.

Step-by-step explanation:

CAN SOMEONE HELP ME PLEASE

Answers

Answer: 9 x 6 x 6

Step-by-step explanation: 9 x 6=54  54 x 6 = 324 ft

A fair die is tossed twice and let X1 and X2 denote the scores obtained for the two tosses, respectively

Calculate E[X1] and show that var (X1) =
Determine and tabulate the probability distribution of Y = | X1 – X2 | and show that E[Y] =
The random variable Z is defined by Z = X1 – X2. Comment with reasons (quantities concerned need not be evaluated) if each of the following statements is true or false
E(Z2) = E(Y2)
Var(Z) = Var(Y)

Answers

1. When a fair die is tossed the expected value E[X1] = 3.5 and the variance var(X1) = 35/12.

When a fair die is tossed, each of the six possible outcomes has an equal probability of 1/6. Let X1 denote the score obtained in the first toss.

To calculate the expected value E[X1], we find the sum of all possible values of X1 multiplied by their respective probabilities:

E[X1] = (1 * 1/6) + (2 * 1/6) + (3 * 1/6) + (4 * 1/6) + (5 * 1/6) + (6 * 1/6) = 3.5

To calculate the variance var(X1), we use the formula:

var(X1) = E[X1^2] - (E[X1])^2

First, we find E[X1^2] by taking the sum of the squares of all possible values of X1 multiplied by their respective probabilities:

E[X1^2] = (1^2 * 1/6) + (2^2 * 1/6) + (3^2 * 1/6) + (4^2 * 1/6) + (5^2 * 1/6) + (6^2 * 1/6) = 91/6

Substituting the values into the formula, we calculate var(X1):

var(X1) = (91/6) - (3.5)^2 = 35/12

Therefore, E[X1] = 3.5 and var(X1) = 35/12.

2. The probability distribution of Y = |X1 - X2| is tabulated as follows:

Y |X1 - X2| P(Y)

0 0 1/6

1 1 2/6

2 2 2/6

3 3 1/6

To calculate E[Y], we find the sum of all possible values of Y multiplied by their respective probabilities:

E[Y] = (0 * 1/6) + (1 * 2/6) + (2 * 2/6) + (3 * 1/6) = 1

Therefore, E[Y] = 1.

3. The statements E(Z^2) = E(Y^2) and Var(Z) = Var(Y) are false.

E(Z^2) and E(Y^2) represent the expected values of the squares of the random variables Z and Y, respectively. Since Z = X1 - X2 and Y = |X1 - X2|, the squares of Z and Y have different probability distributions, leading to different expected values.

Similarly, Var(Z) and Var(Y) represent the variances of Z and Y, respectively. Since Z and Y have different probability distributions, their variances will generally not be equal.

Therefore, E(Z^2) ≠ E(Y^2) and Var(Z) ≠ Var(Y).

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Tim is making 30 sundaes with mint, chocolate, and vanilla ice cream.
1/5
of the sundaes are mint ice cream and
1/2
of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?

Answers

12 sundaes will be vanilla can i please have brainliest

Answer:

12

Step-by-step explanation:

1/5 mint = 6

30 - 6 = 24

Half of 24 is 12

12 is chocolate

so 12 must be vanilla

Translate into an equation: Twenty-six more than the product of a number and
17 is -42.

Answers

C) 17n + 26 = -42

“the product of a number and 17” = 17n

“twenty six more than” = + 26

And if the next question has you solve it:
17n + 26 = -42
Subtract 26 from both sides
17n = -68
Divide both sides by 17
n = -4

Work out the size of angle x.
42°
Х
123°

Answers

Answer:

42+123+x=180

x=180-165

x=15 degrees

Step-by-step explanation:

calculate the solubility (in g/l) of caso4(s) in 0.250 m na2so4(aq) at 25°c . the sp of caso4 is 4.93×10−5 .

Answers

The given values are: Ksp of CaSO4 = 4.93 × 10⁻⁵, Molarity of Na2SO4 = 0.250(m). Molar mass of CaSO4 = 136.14 g/mol. We can write the equation for the dissolution of CaSO4 in water as:CaSO4(s) ⇌ Ca²⁺(aq) + SO₄²⁻(aq). Let's consider that "x" grams of CaSO4 dissolves in "1 L" of 0.250 M Na2SO4. Since the CaSO4 dissolves according to the following equation:CaSO4(s) ⇌ Ca²⁺(aq) + SO₄²⁻(aq). The concentration of Ca²⁺ ions in the solution will be "x" moles / 1 L. The concentration of SO₄²⁻ ions in the solution will be "x" moles / 1 L. Since the concentration of Na2SO4 in the solution is 0.250 M or 0.250 moles / L, the concentration of SO₄²⁻ ions contributed by Na2SO4 will be (2 × 0.250) M or 0.500 M. In order to determine the value of "x" or the amount of CaSO4 that dissolves, we need to consider the equilibrium of the solution. The Ksp expression for the dissolution of CaSO4 can be written as: Ksp = [Ca²⁺][SO₄²⁻], Ksp = (x)(x) = x². As the dissociation is very small compared to the concentration of Na2SO4, we can consider "0.250" moles of Na2SO4 in "1 L" of the solution completely dissociated. Thus, the final concentrations of Ca²⁺ and SO₄²⁻ ions in the solution will be:[Ca²⁺] = x moles / L[SO₄²⁻] = (x + 0.500) moles /L. Therefore, we can write the expression for the ion product: IP = [Ca²⁺][SO₄²⁻]IP = (x)(x + 0.500)As the value of Ksp is equal to the IP, we can write the expression for Ksp as: Ksp = x² + 0.500xWe can substitute the value of Ksp as 4.93 × 10⁻⁵M:4.93 × 10⁻⁵ = x² + 0.500x. Solving for "x", we get the following quadratic equation: x² + 0.500x - 4.93 × 10⁻⁵ = 0. Solving for "x" using the quadratic formula: x = 0.00796 g/L. Therefore, the solubility of CaSO4(s) in 0.250 M Na2SO4 solution at 25°C is 0.00796 g/L.

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Mia is working two summer jobs, making $11 per hour babysitting and making $20 per hour lifeguarding. In a given week, she can work a maximum of 15 total hours and must earn no less than $220. If x represents the number of hours babysitting and y represents the number of hours lifeguarding, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer: 11x + 20y ≥ 220

x + y ≤ 15

Hope this helps

9514 1404 393

Answer:

x + y ≤ 1511x +20y ≥ 2203 hours babysitting and 11 hours lifeguarding

Step-by-step explanation:

The two inequalities represent the two relations described in the problem statement.

  x + y ≤ 15 . . . . . . . Mia works a maximum of 15 hours

  11x + 20y ≥ 220 . . . . Mia makes at least $220

These are graphed in the attachment. The solution area is the doubly-shaded area with vertices at (9, 6), (0, 11) and (0, 15). One possible solution is shown at (3, 11), which represents ...

  3 hours babysitting

  11 hours lifeguarding . . . . . . . . total 14 hours for $253

I really need help fast and ill do anything just help me plz

Answers

Answer is C. 12.22cm

C = pi x diameter

Diameter = 20cm

You times pi by 20cm (diameter) to get the circumference of approx 62.84cm

Then times the circumference by the angle in the circle

62.84 x 70/360 = 12.22cm

need help imm struggling ​

Answers

Answer:

1733.33

Step-by-step explanation:

The volume of a pyramid is (length*width*height) divided by 3

Answer:

1733.33

Step-by-step explanation:

v = (lwh)/3

v = (20 x 20 x 13)/3 = 5200/3 = 1733.33

0
Tickets to a movie cost $9.00 for adults and $5.50 for students. There were 150 tickets purchased for a total of $1,105.00. The following system of
equations models the situation, where a is the number of adult tickets purchased and s is the number of student tickets purchased. Write the
terms with the variables in alphabetical order.
9a + 5.5s = 1.105
a +5 = 150
Rewrite the second equation in the system so that the variable for the number of adult tickets purchased can be eliminated by subtraction.

Answers

Answer:

150a

Step-by-step explanation:

Sails come in many shapes and sizes. The sail on the right is a triangle. Is it a right triangle? Explain your reasoning.

Answers

Answer:

not a right triangle

Step-by-step explanation:

you can use the pythagorean theorem to prove whether not this is a right triangle

if this triangle is a right triangle then the following equality should be true

a²+b²=c²

(9.75)²+(3.45)²=(10.24)²

(95.06)+(11.90)=(104.86)

106.96≠104.86

since the following equality is not true, this is not a right triangle.

Please help these are just practice problems before my test tomorrow and I need help!

Answers

Answer:

x²=20² -14²

x²=400-196

x²=204

x=√204

NO LINKSS !! I WILL REPORT !! HELPP ME PLSS I I WASTED MOST OF MY POINTSS AND NO ONE ENDS UP HELPING ME PLSSS HELP ME Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or > = for >

Answers

Answer: Y less than -3x – 3

Step-by-step explanation:

Ajjwjjwjwjwjsbsbaa shah sash’s

Answers

Answer:

okay then

Step-by-step explanation:

Answer: gtyrehretr

Step-by-step explanation:

Please help me someone.!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]y=-|x|+2[/tex]

Step-by-step explanation:

The y-intercept is 2 and the line of symmetry is the y-axis.

Please answer no links!!!!!!!!!!!

Answers

Answer:

2 (4, 14)3 (3, 5)
The answer for number 1 is 2- (4,14) and I believe the answer for 2 is (3,5) (I may be mistaken on that one since I didn’t graph it.

can someone plz help me wit dis plz​

Answers

divide the area by the number in the triangle

Answer:

b = 6.1 ft

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here A = 10.98 and h = 3.6 , then

[tex]\frac{1}{2}[/tex] × b × 3.6 = 10.98

1.8b = 10.98 ( divide both sides by 1.8 )

b = 6.1

2. A cow gives 24litre milk each day. If the milkman sells 75% of the milk, how many
liters of milk is left with him?​

Answers

Answer: 6 liters

Step-by-step explanation:

24 liters

He sells 75%

24 x 0.75 = 18 liters

24 - 18 = 6

He still has 6 liters left

simplify the expression: (4 3i)(2 − 8i).
a. 32 – 26i
b. −16 26 i
c. 32 38i
d. −16 38i

Answers

The correct answer should be 32.

To simplify the expression (4 + 3i)(2 - 8i), we can use the distributive property of multiplication.

First, we multiply the real parts of the two complex numbers:

(4)(2) = 8.

Next, we multiply the imaginary parts of the two complex numbers:

(3i)(-8i) = -24i^2.

Remember that i^2 is defined as -1, so we can substitute -1 for i^2:

-24i^2 = -24(-1) = 24.

Now, we combine the real and imaginary parts:

8 + 24 = 32.

Therefore, the simplified expression is 32.

Since none of the given answer choices match the simplified expression, it appears that there may be an error in the options provided. The correct answer should be 32.

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a bag contains 15 red marbles, 15 white beads, 20 green beads, and 25 blue beads. What is the probability of randomly drawing a blue bead?

Answers

Answer:

1/3 or 33%

Step-by-step explanation:

15 + 15 + 20 +25 is equal to 75

25/75 is 1/3

Answer:

1 by 3

Step-by-step explanation:

15 + 15 + 20 + 25 = 75

so,

again,

25 divided by 75 is equal to 1 by 3




Use iteration to guess an explicit formula for the following sequence - dx = 2dx-1 + 3k2 , for all integers k> 1 and do = 3 You must show your work.

Answers

By using iteration, we can guess the explicit formula for the given sequence. It is found that the sequence follows a quadratic pattern, and the explicit formula is dx = 3([tex]2^{k-1}[/tex]) + 3[tex]k^2[/tex] - 6k + 3.

Let's start by analyzing the given sequence: dx = 2dx-1 + 3[tex]k^2[/tex]. We are given that d1 = 3. We can use this initial value to find d2, d3, and so on.

Substituting k = 2 into the given equation, we get d2 = 2d1 + 3([tex]2^2[/tex]) = 2(3) + 3(4) = 6 + 12 = 18.

Similarly, substituting k = 3, we get d3 = 2d2 + 3[tex](3^2)[/tex] = 2(18) + 3(9) = 36 + 27 = 63.

Based on these calculations, we observe that each term in the sequence is related to the previous term by multiplying it by 2 and adding 3[tex]k^2[/tex]. Moreover, we notice a quadratic pattern in the sequence.

To find the explicit formula, we can express dx in terms of k:

dx = 2dx-1 + 3[tex]k^2[/tex]

  = 2(2dx-2 + 3[tex](k-1)^2[/tex]) + 3[tex]k^2[/tex]

  = 4dx-2 + 6[tex](k-1)^2[/tex][tex](k-1)^2[/tex] + 3[tex]k^2[/tex].

We can continue this iteration process, expanding dx-2 in terms of dx-3, and so on. By continuing this process and simplifying the equation, we find that the explicit formula for the sequence is dx = 3([tex]2^{k-1}[/tex]) + 3[tex]k^2[/tex] - 6k + 3.

In conclusion, by using iteration, we have determined that the explicit formula for the given sequence dx = 2dx-1 + 3[tex]k^2[/tex], with d1 = 3, is dx = 3([tex]2^{k-1}[/tex]) + 3[tex]k^2[/tex] - 6k + 3.

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Assuming the sample was taken from a normal population, test at ů. = 0.05 and state the decision. Họ: H = 13 HA: U < 13 ř= 10 S= 0.7 n = 9

Answers

the test statistic (t = -12.857) is smaller than the critical value (-1.860), we have enough evidence to reject the null hypothesis.

To test the hypothesis regarding the population mean, we can perform a one-sample t-test.

Given:

- Null hypothesis (H₀): μ = 13

- Alternative hypothesis (Hₐ): μ < 13

- Sample mean ([tex]\bar{X}[/tex]) = 10

- Sample standard deviation (s) = 0.7

- Sample size (n) = 9

- Significance level (α) = 0.05

To conduct the t-test, we can calculate the test statistic and compare it with the critical value from the t-distribution.

The test statistic (t-score) is calculated as:

t = ([tex]\bar{X}[/tex] - μ) / (s / √n)

Plugging in the values:

t = (10 - 13) / (0.7 / √9)

t = -3 / (0.7 / 3)

t = -3 / 0.233

t ≈ -12.857

To determine the critical value, we need to find the appropriate degrees of freedom (df) for a one-sample t-test. In this case, df = n - 1 = 9 - 1 = 8.

Using a significance level of α = 0.05 and looking up the critical value for df = 8 in the t-distribution table, we find the critical value to be approximately -1.860.

Since the test statistic (t = -12.857) is smaller than the critical value (-1.860), we have enough evidence to reject the null hypothesis.

Decision: Based on the test results, at α = 0.05, we reject the null hypothesis (H₀: μ = 13). There is sufficient evidence to support the alternative hypothesis (Hₐ: μ < 13), suggesting that the population mean is less than 13.

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Given question is incomplete, the complete question is below

Assuming the sample was taken from a normal population, test at α = 0.05 and state the decision. Họ: μ = 13 HA: μ < 13 [tex]\bar{X}[/tex]= 10 s= 0.7 n = 9

Which of the following is a research question that could be addressed using a one-way analysis of variance?
A. Does mean blood pressure differ for three different age groups?
B. Does the variance of blood pressure differ for three different age groups?
C. Are the proportions of people who oppose wearing masks different for different age groups?
D. Is there a relationship between political party preference and age?
E. Is Final Grade for a subject (H1, H2A, H2B, H3, P, N) affected by student's preferred seating location during lectures (Lecture theatre, Desk, Couch, Bed, Other)?

Answers

A. Does mean blood pressure differ for three different age groups?

This is a research question that could be addressed using a one-way analysis of variance.

A one-way analysis of variance (ANOVA) is a statistical test used to determine whether there are any significant differences between the means of three or more groups. In the given research question, we are interested in examining whether the mean blood pressure differs across three different age groups.

To address this question using a one-way ANOVA, we would collect blood pressure measurements from individuals belonging to three different age groups. We would then calculate the mean blood pressure for each group and compare these means statistically. The one-way ANOVA test would allow us to determine if there is enough evidence to suggest that the mean blood pressure differs significantly between the age groups.

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A right prism has a volume of 65 cubic inches. The prism is enlarged so its height is increased by a factor of 20, but the other dimensions do not change. What is the new volume? A. 1000in.3 B. 1300in.3 C. 1200in.3 D. 1100in.3

Answers

Answer:

The answer is B, have a wonderful day!

Step-by-step explanation:


Question Help
One taco supreme and two pan pizzas provide 3200 calories. Two taco supremes and one pan pizza
provide 3280 calories. Find the caloric content of each item.

Answers

Answer:

4324eqW

Step-by-step explanation:

3 + 5 =7

Other Questions
The nature and logic of the conditions for macro- and microeconomic equilibrium.Explain the nature and logic of real and monetary shocks and their role in causing micro- and macroeconomic imbalances. (15/100)NB: you do not need to go into the detail of the derivation of these conditions; just explain their underlying logic. How liquidation of assets occur with a permanent price impact? Research Topic - California's CuisineRelevant ethnic restaurants in Canada and in Southern OntarioExamine the ethnic restaurants which prepare the cuisine of your subject group, both in Canada AND in Southern Ontario. Begin your analysis with actual figures. How many restaurants are there? Where are they located geographically and why? Are these locations ethnic enclaves? Cultural hubs? Commercial hubs? High income areas? Lower income areas? Student campuses? What conclusions can you derive about their target market from this analysis?Deliver a commentary about the authenticity of the cuisine. For example, early Chinese-Canadian restaurants modified their cuisine significantly to accommodate several circumstantial parameters, such as customer preferences and ingredient availability. Is your subject ethnic cuisine well accepted in its full authenticity or have restaurants had to compromise? If so, why? This is a complex question, and you should avoid generalizing while examining the nuances.Is this a cuisine relegated to the "cheap eats" category of food guides or is this ethnic cuisine associated with fine dining? (For example, French and Japanese cuisines) Explain how you arrived at this conclusion. Do you think the market is ready for an upscale version of this cuisine? Why/why not?4. The CustomersWho patronizes this ethnic restaurant segment and why? What is the demographic of the target market for the average restaurant? Why? (IMPORTANT: Be careful with this question. Resist the urge to merely state that they are targeting all market segments. This lack of targeted strategy is dangerous and bad for business. Successful restaurants may target multiple groups but cannot successfully target all groups. Identify clearly which groups are targeted, then show the evidence for your claims.How long has this ethnic segment of restaurants been in Canada and what has been their pattern of popularity? Why? Has their cuisine ever been trendy? When? If that trend has passed, how and why did the surviving restaurants remain in business? How did they continue to meet the needs of their customers? You are analyzing the stock of Brother Industries, Ltd. (Tokyo Stock Exchange: 64480). You have concluded that a multistage DDM is appropriate to value the stock of Brother Industries and the company will reach a mature stage in four years. You have estimated that in the mature phase Brother's ROE will be 11%, which is approximately equal to estimated required return on equity. He also estimated that the retention ratio in the mature phase will be 60%. Calculate the sustainable growth rate for Brother in the mature phase. Please show your work to earn credits! Pick one of your favorites foods eat it normally, and then take a bite of it while holding your nose. How does it taste when you can't smell very well? What influence does smell have on taste? Saved Help Save & Exit DBC produces a single product. The standard production requirement for each unit requires 2 kilograms of a single material at a standard cost of $5 per kilogram. During the last year, DBC purchased 10,000 kilograms of materials at total cost of $52,000. Also last year, DBC manufactured 3,000 units of product using a total of 7,000 kg. What was the DBC's materials purchase price variance for the year? The molar mass of an unknown compound is 560 g. A sample of the compound consists of 0.900 g of carbon, 0.0751 g of hydrogen, 0.175 g of nitrogen, and 0.600 g of oxygen. What is the the molecular formula of this compound. O C24H4N4012 O C24H22N3013 C12H14NO5 O C24H8 N010 Let r be the nominal interest rate, compounded yearly. For what values of r is the cash flow stream 20,10 preferable to the cash flow stream 0, 34? ( Do not use Financial calculator or excel, show step) prove that circle a with center (1, 1) and radius 1 is similar to circle b with center (3, 2) and radius 2. TRUE/FALSE.a sheet or web supported by springs in a metal frame and used as a springboard TRUE / FALSE. Moving to the next question prevents changes to this answer. Question 2 ICLO-6] To be attractive, a capital project must provide an Minumum attractive rate of return (MARR) What is an inflection point and how do you identify it? 2. How do you test a function to be convex or concave? 3. What is the unimodal property and what is its significance in single-variable optimization? 4. Suppose a point satisfies sufficiency conditions for a local minimum. How do you establish that it is a global minimum? 5. Cite a condition under which a search method based on polynomial interpolation may fail. 6. Are region elimination methods as a class more efficient than point estimation methods? Why or why not? 7. In terminating search methods, it is recommended that both the difference in variable values and the difference in the function values be tested. Is it possible for one test alone to indicate convergence to a minimum while the point reached is really not a minimum? Illustrate graphically. 8. Given the following functions of one variable: (a) f(x) = x + ir - + 2 (b) f(x) = (2x + 1)*(x-4) Determine, for each of the above functions, the following: (i) Region(s) where the function is increasing; decreasing (ii) Inflexion points, if any (iii) Region(s) where the function is concave; convex (iv) Local and global maxima, if any (v) Local and global minima, if any 9. State whether each of the following functions is convex, concave, or neither. (a) f(x) = el (b) f(x) = et 1 (c) f(x) = x? (d) f(x) = x + log x for x > 0 (e) f(x) = x (f) f(x) = x log x for x > 0 (g) f(x) = x24 where k is an integer (h) f(x) = x2+1 where k is an integer 10. Consider the function f(x) = x - 12x + 3 over the region - 4x4 Determine the local minima, local maxima, global minimum, and global maximum of f over the given region. 11. Carry out a single-variable search to minimize the function 12 f(x) = 3x? + on the interval Lesson 05.02 Evolutionary RelationshipsCompare artificial selection to natural selectionDiscuss the factors Darwin considered in forming his theory of natural selectionSummarize the four principals of natural selection A hetero gous ail yellow plant is crossed with a homorygous short green. Show the genoype od phenotypes of the Fi offspring and the probability of each. Laminar Flow airfoils have improved lift to drag characteristics in what AOA regime?a) Improved characteristics in all AOA regimesb) Improved characteristics in low AOA regimesc) Improved characteristics in high AOA regimesd) No improved characteristics with respect to AOA Assume that you have a binomial experiment with p = 0.4 and a sample size of 50. The variance of this distribution isa. 0.40b. 1.92c. 12.00d. 20.00 Find the vertex of the parabola and sketch: x = y2 + 6y - 7. Label the vertex, X-intercept and y-intercepts. Write your points as ordered pairs. what factor should be considered when establishing the sprint lenghth A gas within a piston-cylinder assembly executes a Carnot power cycle during which the isothermal expansion occurs at TH = 600 K and the isothermal compression occurs at TC = 300 K. Determine a. the thermal efficiency. b. the percent change in thermal efficiency if TH increases by 15% while TC remains the same.c. the percent change in thermal efficiency if TC decreases by 15% while TH remains the same.d. the percent change in thermal efficiency if TH increases by 15% and TC decreases by 15%. Place each of the labels in the box designating which plane or section is being referred to or demonstrated Divides the body into front and back Allows for length comparison between the right radius and ulna simultaneously Which section could not display the sternum and the vertebrae simultaneously? Which view would be necessary to see the complete length of the roots for the two front teeth (incisors) simultaneously? Which x-ray view would display the length of both femurs simultaneously? Divides the body into top and bottom Which section could not display the abdominal and thoracic organs simultaneously? Divides the body into right and left Allows circumferential comparisons between arms Which section could not produce a view of both kidneys simultaneously? Frontal Sagittal Transverse