Consider the following scenarios:
(a) [10 points] If 20 people, including A and B, are randomly arranged in a line, what is the probability that A and B are next to each other?
(b) [10 points] What would the probability be if the people were randomly arranged in a circle?

Answers

Answer 1

According to the question the following scenarios are as follows :

(a) To find the probability that A and B are next to each other in a line of 20 people, we can treat A and B as a single entity. This reduces the problem to arranging 19 entities (A and B together with the other 18 people) in a line. The total number of arrangements of 19 entities in a line is [tex]$19!$[/tex] .

Now, within the 19 entities, A and B can be arranged in [tex]$2! = 2$[/tex] ways (A followed by B or B followed by A). For each arrangement of A and B, the remaining 18 people can be arranged in [tex]$18!$[/tex] ways.

Therefore, the total number of arrangements where A and B are next to each other is [tex]$2 \cdot 18!$[/tex] .

The total number of possible arrangements of 20 people in a line is [tex]$20!$[/tex] .

The probability of A and B being next to each other is given by:

[tex]\[P(A \text{ and } B \text{ are next to each other}) = \frac{2 \cdot 18!}{20!}\][/tex]

(b) If the people are randomly arranged in a circle, we can fix one person (let's say A) at a specific position. Then, we arrange the remaining 19 people in a line, which can be done in [tex]$19!$[/tex] ways.

However, since the circle allows for rotations, each arrangement can be rotated in 20 different ways (corresponding to the different positions of A as the fixed person).

Therefore, the total number of arrangements where A and B are next to each other in a circle is [tex]$20 \cdot 19!$[/tex] .

The total number of possible arrangements of 20 people in a circle is [tex]$(20 - 1)!$[/tex] , since one person is fixed.

The probability of A and B being next to each other in a circle is given by:

[tex]\[P(A \text{ and } B \text{ are next to each other in a circle}) = \frac{20 \cdot 19!}{(20 - 1)!}\][/tex]

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Related Questions

HELP PLEASE! MARKING BRAINLIEST

WHT IS THE CIRCUMFERENCE OF THE CIRCLE SHOWN IN THE PICTURE? (Also show the process or tell me what the radius or diameter of the circle is)

Answers

Answer:

109.9 cm

Step-by-step explanation:

Circumference = (pi)(diameter)

They tell you diameter = 35

c = (3.14)(35)

c = 109.9 cm

Please lmk if you have questions.

Answer:

circumference : 109.96 cm

Step-by-step explanation:

The radius of a circle is half its diameter. The radius of a circle with a diameter of 35cm is 17.5cm.

The circumference of a circle is found by 2πr . So that would be 2π 17.5

which would be equal to 109.96cm (2 sig. fig.).

The area of a circle is found by πr2 . So that's π⋅17.5 which is equal to 962.11cm (2 sig.fig.).

ALGEBRAICALLY solve the following system of equations:
y= 22 - 4x + 6 and y=x + 2

Answers

The answer for y=22-4x+6 is 0=22-4x+6
And apart of it 4x=28and x=7

And for y=x+2 is 0=x+2
Apart of it -x=2 and x=-2

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 320 babies were born and 288 of them were girls. Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born. Based on the result, does the method appear to be effective?

Answers

Based on the sample data, we can construct a 99% confidence interval estimate for the percentage of girls born as approximately 85.1% to 94.9%.

To construct a confidence interval estimate for the percentage of girls born, we can use the formula for estimating a proportion.

First, we calculate the sample proportion, which is the number of successes (girls) divided by the total number of trials (babies born):

Sample proportion (p-hat) = Number of girls / Total number of babies born

= 288 / 320

= 0.9

Next, we can construct the confidence interval using the sample proportion. Since we want a 99% confidence interval, we need to find the critical value corresponding to that level of confidence. For a two-tailed test, the critical value is obtained from the standard normal distribution (Z-distribution).

Using a Z-table or calculator, the critical value for a 99% confidence level is approximately 2.576.

The margin of error (E) can be calculated as:

Margin of error (E) = Critical value * Standard error

The standard error (SE) for estimating a proportion is given by:

Standard error (SE) = [tex]\sqrt {(p-hat * (1 - p-hat)) / n}[/tex]

where p-hat is the sample proportion and n is the sample size.

Using these values, we can calculate the margin of error:

Standard error (SE) = [tex]\sqrt {(0.9 * (1 - 0.9)) / 320}[/tex]

≈ 0.019

Margin of error (E) = 2.576 * 0.019

≈ 0.049

Finally, we can construct the confidence interval:

Confidence interval = Sample proportion ± Margin of error

= 0.9 ± 0.049

≈ (0.851, 0.949)

Therefore, based on the sample data, we can construct a 99% confidence interval estimate for the percentage of girls born as approximately 85.1% to 94.9%.

Since the interval includes the value of 0.5 (50%), which represents an equal chance of having a girl or a boy, it suggests that the method used in the clinical trial does not significantly increase the probability of conceiving a girl.

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help me please, i’m confused. thanks!

Answers

Answer:

Step-by-step explanation:

The answer is x=9/5. Hope this helps!

Delano downloaded 9 songs on Saturday and 5 songs on Sunday. How many total songs did he download on Saturday and Sunday?

Answers

Answer:

the answer is 14 I pinkie promise!

Can anyone help me with this? Please and thank you!

Answers

Answer:

x=-6, y=-7

Step-by-step explanation:

Answer:

x = -6, y = -7

Step-by-step explanation:

One way to solve for x and y is using the substitution method

(1) 3x + 4y = -46

(2) 6x + y = -43

Solve for y in equation (2)

6x + y =-43, so y = -43 - 6x

Substitute y = -43 -6x into equation (1)

3x + 4(-43 -6x) = -46

3x -172 -24x = -46

-21x -172 = -46

-21x = 126

x = -6

Find y by substituting x = -6 into equation (2)

6(-6) + y = -43

-36 + y = -43

y = -7

Wendy’s family lost the power at their house when there was a bad storm. The power was out for 3 days! Wendy’s neighbors lost power for 68 hours. Whose power was out for a greater amount of time?

Can someone help me on this one please?

Answers

Wendy’s family lost power for the longer time than the neighborhood, 68 hours to days would be 2.83 which would be 2.8.

A new car is purchased for 20300 dollars. The value of the car depreciates at 8.75% per year. What will the value of the car be, to the nearest cent, after 12 years?

My question is more on how do I know how to change the percentage, and what to change it to.

Answers

Answer:

Therefore, after 12 years the car will value $6,765.35.

Step-by-step explanation:

Given the solid Ethat lies between the cone z2 = x2 + y2 and the sphere x2 + y2 + (z + 2)2 = 2 a) Set up the triple integrals that represents the volume of the solid E in the rectangular coordinate system b)Set up the triple integrals that represents the volume of the solid E in the cylindrical coordinate system c) Evaluate the volume of the solid E

Answers

a) The volume of the solid E in rectangular coordinate system is given by: [tex]$$\iiint_{E}[/tex] dx dy dz = [tex]\int_{-2}^{2} \int_{0}^{\sqrt{z^2}} \int_{-\sqrt{z^2 - y^2}}^{\sqrt{z^2 - y^2}} dx dy dz$$[/tex]

b) The volume of the solid E in cylindrical coordinate system is given by:  [tex]$$\iiint_{E} \rho d\rho d\theta dz = \int_{0}^{2} \int_{0}^{\frac{\pi}{2}} \int_{0}^{\sqrt{4 - z^2}} \rho d\rho d\theta dz$$[/tex]

c) The volume of the solid E is 11π/3.

a) The solid E that lies between the cone z² = x² + y² and the sphere x² + y² + (z + 2)² = 2.

Volume of solid E in rectangular coordinate system

Let the limits of x, y, z be X, Y, Z respectively.

The limits of X:

From the equation, z² = x² + y²

Z² = X² + Y²

X² = Z² - Y²

Let Z = 0, then X² = - Y² which is impossible. Therefore, Y can take any value such that Y < Z.

The limits of Y:

From the equation, z² = x² + y²

Z² = X² + Y²

Y² = Z² - X²

Let Z = 0, then Y² = - X² which is impossible. Therefore, X can take any value such that X < Z.

Limits of Z:

From the equation x² + y² + (z + 2)² = 2z² + 4z + 8 = 2(Z + 1)² + 6

The limits of z are Z < 2 and Z > - 2.

Volume in rectangular coordinate system:

[tex]$$\iiint_{E}[/tex] dx dy dz = [tex]\int_{-2}^{2} \int_{0}^{\sqrt{z^2}} \int_{-\sqrt{z^2 - y^2}}^{\sqrt{z^2 - y^2}} dx dy dz$$[/tex]

b) Volume of solid E in cylindrical coordinate system

Let the limits of ρ, θ, z be R, Θ, Z respectively.

The limits of R:

From the equation, z² = ρ² cos²θ + ρ² sin²θ

Z² = ρ²

Rho² = Z²/ cos²θ + sin²θ

Rho = Z/ cosθ

Let Z = 0, then Rho = 0. Therefore, R can take any value such that 0 ≤ R < 2.

Limits of Θ:

From the equation, z² = ρ² cos²θ + ρ² sin²θ

Z² = ρ² sin²θ

Theta² = tan⁻²(Z²/ ρ²)

Let Z = 0, then Θ = 0. Therefore, Θ can take any value such that 0 ≤ Θ ≤ π/2.

Limits of Z:

From the equation x² + y² + (z + 2)² = 2z² + 4z + 8 = 2(Z + 1)² + 6

The limits of Z are -2 ≤ Z < 2.

Volume in cylindrical coordinate system:

[tex]$$\iiint_{E} \rho d\rho d\theta dz = \int_{0}^{2} \int_{0}^{\frac{\pi}{2}} \int_{0}^{\sqrt{4 - z^2}} \rho d\rho d\theta dz$$[/tex]

c) Evaluation of the volume of solid E:

Using rectangular coordinate system, the volume of solid E is

[tex]$$\iiint_{E} dx dy dz[/tex] = [tex]\int_{-2}^{2} \int_{0}^{\sqrt{z^2}} \int_{-\sqrt{z^2 - y^2}}^{\sqrt{z^2 - y^2}} dx dy dz$$$$[/tex]

[tex]=\int_{-2}^{2} \int_{0}^{\sqrt{z^2}} [x]_{-\sqrt{z^2 - y^2}}^{\sqrt{z^2 - y^2}} dy dz$$$$=\int_{-2}^{2} \int_{0}^{\sqrt{z^2}} 2\sqrt{z^2 - y^2} dy dz$$$$=\int_{-2}^{2} \left[-\frac{1}{2}(z^2 - y^2)^{3/2}\right]_{y=0}^{y=\sqrt{z^2}} dz$$$$=\int_{-2}^{2} \frac{1}{2}z^3 dz = 0$$[/tex]

Therefore, the volume of solid E using rectangular coordinate system is 0.

Using cylindrical coordinate system, the volume of solid E is

[tex]$$\iiint_{E} \rho d\rho d\theta dz = \int_{0}^{2} \int_{0}^{\frac{\pi}{2}} \int_{0}^{\sqrt{4 - z^2}} \rho d\rho d\theta dz$$$$=\int_{0}^{2} \int_{0}^{\frac{\pi}{2}} \left[\frac{\rho^2}{2}\right]_{0}^{\sqrt{4 - z^2}} d\theta dz$$$$=\int_{0}^{2} \int_{0}^{\frac{\pi}{2}} 2 - \frac{z^2}{2} d\theta dz$$$$=\int_{0}^{2} \left[2\theta - \frac{\theta z^2}{2}\right]_{\theta = 0}^{\theta = \frac{\pi}{2}} dz$$$$=\int_{0}^{2} \pi - \frac{\pi z^2}{4} dz = \frac{11\pi}{3}$$[/tex]

Therefore, the volume of solid E using cylindrical coordinate system is 11π/3.

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The total number of cookies, y, contained in x packages can be represented by the equation y=24x. Which of the following graphs best represents this situation?

Answers

Answer: B)

Step-by-step explanation:

By checking which graph is satisfied, we choose points that the function has pass through.

First, we know that y = mx + b, where m is the slope, how the line change; and b is the y-intercept. In this equation, the slope is 24 which the line is increased. So we can eliminate the choice D, the line in D decreased.

Then we find where the first point and second point this graph will be.

When x = 0, y = 24x = 24(0) = 0, (0,24)

When x = 1, y = 24x = 24(1) = 24, (1,24)

1 package can have 24 cookies, only B have 24 cookies in 1 package.

5 - y"+ 2y' = 2x+5-e-2x {undetermined coefficients)

Answers

The solution to the differential equation 5y'' - 2y' = 2x + 5 - e^(-2x) using the method of undetermined coefficients is given by y = C1 + C2e^(2x) - (5/2)x + B, where C1, C2, and B are constants determined by the initial or boundary conditions.

To solve the differential equation 5y'' - 2y' = 2x + 5 - e^(-2x) using the method of undetermined coefficients, we assume a particular solution of the form:

y_p = Ax + B + Ce^(-2x)

where A, B, and C are undetermined coefficients to be determined.

Taking the derivatives:

y_p' = A - 2Ce^(-2x)

y_p'' = 4Ce^(-2x)

Substituting these derivatives into the original differential equation, we have:

5(4Ce^(-2x)) - 2(A - 2Ce^(-2x)) = 2x + 5 - e^(-2x)

Simplifying the equation:

20Ce^(-2x) - 2A + 4Ce^(-2x) = 2x + 5 - e^(-2x)

(24C)e^(-2x) - 2A = 2x + 5 - e^(-2x)

For the equation to hold for all x, the coefficients on both sides of the equation must be equal.

Matching the coefficients:

24C = 0 -> C = 0

-2A = 5 -> A = -5/2

Therefore, the particular solution is:

y_p = (-5/2)x + B

To find the value of B, we substitute the particular solution back into the original differential equation:

5(-5/2) - 2(0) = 2x + 5 - e^(-2x)

-25/2 = 2x + 5 - e^(-2x)

Solving for x and e^(-2x) in terms of B:

2x = -25/2 - 5 + e^(-2x)

2x = -35/2 + e^(-2x)

As the left side is a linear function of x and the right side is a constant plus an exponential function, there is no value of x that satisfies this equation for all x. Hence, the equation is inconsistent, and there is no particular solution in the form y_p = Ax + B.

Therefore, the solution to the given differential equation using the method of undetermined coefficients is the complementary function (homogeneous solution) plus the particular solution, which is:

y = y_c + y_p = C1 + C2e^(2x) + (-5/2)x + B

where C1 and C2 are constants determined by the initial or boundary conditions, and B is an arbitrary constant.

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Alan and Beth share $1190 in the ratio Alan : Beth = 5:2.
Work out how much Alan receives.
options:
$850
$1666
$34
$119​

Answers

The share of money Alan receives is $850. Therefore, option C is correct answer.

Given that, the total amount is $1190 and the ratio Alan: Beth = 5:2.

We need to find the how much money Alan gets.

What is the ratio?

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other.

Now, 5+2=7

Money Alan receives=5/7×1190

=$850

The share of money Alan receives is $850. Therefore, option C is correct answer.

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help me please :)

thank you :P

Answers

Answer: Should be 7

Step-by-step explanation:

14/2 is 7

yo i need help please no links i just need the correct answer to pass this

Answers

3.2 i believe!!! sorry if i’m late

1. What is ✓ 48 in simplified radical form?

Answers

Answer:

4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{48}[/tex]

= [tex]\sqrt{16(3)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex]

= 4[tex]\sqrt{3}[/tex]

What is the answer to this question?

Answers

Answer:

C is the answer also can I have brian list

Step-by-step explanation:

Compare lengths. Select >, <, or = ,
2 km _ 4,000 m

Answers

Answer:

2 km < 4,000 m

Step-by-step explanation:

2 km = 2,000 m

Therefore, 2,000 m is less than 4,000 m.

During an experiment in which you are investigating the acceleration changes due to force changes, what value must stay constant during these trials?

a. Force
b. Velocity
c. Acceleration
d. Mass

Answers

During an experiment of acceleration changes, the value that must stay constant during these trials is d. Mass

Inertia, a basic characteristic of all matter, may be measured quantitatively using mass. When a force is applied, an item effectively provides resistance to changes in velocity or position. The change brought about by an applied force is less the more mass an item has. According to Newton's second law of motion an object's acceleration is inversely proportional to its mass and directly proportional to the net force that has been applied to it. It may be expressed mathematically as F = ma.

The goal of this experiment is to see how variations in force impact acceleration. It is crucial to maintain the mass constant throughout the trials in order to isolate the impact of force on acceleration. Any observable variations in acceleration may be entirely attributable to variations in the applied force by maintaining the mass constant.

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PLEASE HELP! EASY MATH!!

Rosie measures the heights and arm spans of the girls on her basketball team. She plots the data and makes a scatterplot comparing heights and arm spans, in inches. Rosie finds that the trend line that best fits her results has the equation y = x + 2. If a girl on her team is 69 inches tall, what should Rosie expect her arm span to be?



A) 69 = x + 2
x = 67 inches

B) y = 69 - 2 = 67 inches

C) y = 69 inches

D) y = 69 + 2 = 71 inches

Answers

Answer:

Your answer would be D. I know this is kind of late, but maybe other people that come up here could get some help

Step-by-step explanation:

Best disc and answer will get BRAINLIEST

Answers

Answer:

A is the answer

Step-by-step explanation:

All you have to do is follow the order pair such as 2, 100 and see if that is a correct pair.

Hope that helps

Answer: A. (2, 100)

Step-by-step explanation:

What is the least common multiple of 3,4 and 6?

Answers

Answer:

12

Step-by-step explanation:

Write down multiples of each number:

3, 6, 9, 12 . . .

4, 8, 12 . . .

6, 12 . . .

The first one they all have is the LCM.

Answer:

12

Step-by-step explanation:

Think of it this way. Simplifying 3, 4 and 6 into their simplest factors:

[tex]3=3[/tex]

[tex]4=2*2[/tex]

[tex]6=3*2[/tex]

6 is a multiple of both 3 and 2, which are both represented by the factors of 3 and 4. Thus, as it is doubled in these, it is not necessary to find the lowest common multiple of the numbers.

Now the LCM can be multiplied with the factors of the remaining numbers:

LCM[tex]=3*2*2[/tex]

Notice the first two numbers equal 6, the second and third equal 4, and the first only equals 3. This means the three numbers are represented in the LCM.

[tex]3*2*2=24[/tex]

And that is the LCM, so we are done. QED

Sam just purchased a new car. After his employee discount and the sale that the dealership applied to the original
price, Sam paid $13,734.60. If Sam's employee discount was applied to the original price after the dealer discount,
then determine the original price of the vehicle given that the employee discount was 8% and the dealership
discount was 25%. Round your answer to the nearest cent.
a $20,375.21
c. $19,250.13
b. $18,350.33
d. $19,905.22

Answers

Answer:

D 19,905

Step-by-step explanation:

19,905.22×25%=4976.31

19905.22-4976.31=14,928.91

14928.91×8%=1194.31

14928.91-1194.31=13734.6

Two samples of sizes 25 and 35 are independently drawn from two normal populations has standard deviation of 0.9 and 0.8 respectively. Determine the variance sampling distribution for difference of two means.
A. 0.25
B. 0.51
C. 0.30
D. 0.051

Regardless of the shape of the population, the sampling distribution of the mean approaches a normal distribution as sample size increases
A. False
B. True

Answers

The variance of the sampling distribution for the difference of the two means is 0.0147142857.

The correct option is D. 0.051.

The variance of the sampling distribution for the difference of two means of sample populations can be calculated using the formula given below:

[tex]\Large\frac{{{\sigma }_{1}}^{2}}{n_{1}}+\frac{{{\sigma }_{2}}^{2}}{n_{2}}[/tex]

Where,[tex]{{\sigma }_{1}}$ and ${{\sigma }_{2}}[/tex] are the standard deviations of the two populations respectively, and [tex]{{n}_{1}} and ${{n}_{2}}[/tex] are the sample sizes of the first and second populations respectively.

Substituting the given values, we get

[tex]\Large\frac{0.9^2}{25}+\frac{0.8^2}{35}=0.009+0.0057142857[/tex]

=0.0147142857

Therefore, the variance of the sampling distribution for the difference of the two means is 0.0147142857.

Sampling distribution approaches normal distribution:

True. Regardless of the shape of the population, the sampling distribution of the mean approaches a normal distribution as the sample size increases.

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if T= 101+102+103+...+199 find T

Answers

...............................................

okay hi everyone can someone help me with my math reveiw im in 7th grade and i really need help with this and my mom is yelling at me because im failing

Answers

hey! whats the question? may i help you

A cylindrical test tube holds 6π cm of liquid when filled to the 6cm mark what is the diameter of the test tube to the nearest hundredth of a Centimeter

Answers

Answer:

2cm

Step-by-step explanation:

Given data

Capacity/volume of liquid held=  6π cm^3

Height= 6cm

Required

The diameter d of the tube

let us apply the expression for the volume of cylinder

V=πr^2h

6π=πr^2*6

6=r^2*6

r^2= 6/6

r^2=1

r= √1

r=1cm

Hence the diameter d = 2r= 2*1= 2cm

PLEASEEEE HELP ‼️‼️1️⃣

Answers

Answer:

8/7

Step-by-step explanation:

12*2=24.

7*3=21

24/21 is divisible by 3

=8/7

You may need to use the appropriate appendix table to answer this question.
Automobile repair costs continue to rise with the average cost now at $367 per repakt Assume that the cost for an automobile repair is normally distributed with a standard deviation of $88. Answer the following questions about the cost of automobile repairs
(a) What is the probability that the cost will be more than $480 (Round your answer to four decimal places.________
(b) What is the probability that the cost will be less than $240 (Roxind your answer to four decimal places.)________
(c) What is the probability that the cast will be between $240 and $480 (Round your answer to four decimal places.)________
(d) of the cost for your car repair is in the lower 5% of automoble repair charges, what is your matmum possible cast in dollars? (Round your answer to the nearest cent)
$________

Answers

The maximum possible cost in dollars is $226.76 (approx).

Standard deviation = $88

Let X be the cost of the automobile repair, then X ~ N(367, 88^2) (normal distribution)

Now, we need to find the following probabilities:

(a) P(X > 480)(b) P(X < 240)(c) P(240 < X < 480)(d)

Find X such that P(X < X1) = 0.05, where X1 is the lower 5% point of X(a) P(X > 480)

We need to find P(X > 480)P(X > 480) = P(Z > (480 - 367)/88) [Standardizing the random variable X]P(X > 480) = P(Z > 1.2955)

Using the standard normal table, the value of P(Z > 1.2955) = 0.0983 (approx)

Hence, the required probability is 0.0983 (approx)(b) P(X < 240)

We need to find P(X < 240)P(X < 240) = P(Z < (240 - 367)/88) [Standardizing the random variable X]P(X < 240) = P(Z < -1.4432)

Using the standard normal table, the value of P(Z < -1.4432) = 0.0749 (approx)

Hence, the required probability is 0.0749 (approx)(c) P(240 < X < 480)

We need to find P(240 < X < 480)P(240 < X < 480) = P(Z < (480 - 367)/88) - P(Z < (240 - 367)/88) [Standardizing the random variable X]P(240 < X < 480) = P(Z < 1.2955) - P(Z < -1.4432)

Using the standard normal table, the value of P(Z < 1.2955) = 0.9017 (approx)and the value of P(Z < -1.4432) = 0.0749 (approx)

Hence, the required probability is 0.9017 - 0.0749 = 0.8268 (approx)(d)

Find the maximum possible cost in dollars, if the cost for your car repair is in the lower 5% of automobile repair charges.

This is nothing but finding the lower 5% point of X.We need to find X1 such that P(X < X1) = 0.05.P(X < X1) = P(Z < (X1 - 367)/88) [Standardizing the random variable X]0.05 = P(Z < (X1 - 367)/88)

Using the standard normal table, the value of Z such that P(Z < Z0) = 0.05 is -1.645 (approx)

Hence, we get,-1.645 = (X1 - 367)/88

Solving for X1, we get: X1 = 88*(-1.645) + 367 = $226.76 (approx)

Therefore, the maximum possible cost in dollars is $226.76 (approx).

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Rewrite the expression in the form 3^n

Answers

Answer:

n=2

Step-by-step explanation:

[tex]\frac{3.3.3.3.3.3}{3.3.3.3} = 3^{n}[/tex]

[tex]3^{2}[/tex]= [tex]3^{n}[/tex]

n=2

Answer:

[tex]3^1[/tex]

Step-by-step explanation:

[tex]\frac{3*3*3*3*3}{3*3*3*3} =3^1[/tex]

factor this trinomial in standard form 2n^2 + 7n + 5

Answers

Answer:

Observation : No two such factors can be found !! Conclusion : Trinomial can not be factored. Equation at the end of step 2 : 2n2 - 7n - 5 = 0. Step 3 : Parabola ...

Step-by-step explanation:

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Create an IS-LM Model to support the use of an excise tax on all goods and services entering Australia from all trading partners 1) Describe and compare the scientific perspective on humanevolution vs. creationism (religious explanations of humanorigins);2) Define what has been the culture in hominin evolution andwhat is it if there were 4 groups, how many possible pair-wise comparisons are there? Comment on the cash flow management of Bharat Electronics from the following figures. (Rs/Crs) Particulars Mar-20 Mar-19 Mar-18 Mar-17 Operating Activities 2,570 1,546 -686 -60 Investing Activities -648 -928 -6 3, 114 Financing Activities 1-1,060 -662 -1,202 -2,856 Others 0 0 0 0 Net Cash Flow 860 -44 -1,895 196 [The following information applies to the questions displayed below.]Turner, Roth, and Lowe are partners who share income and loss in a 2:3:5 ratio (in percents: Turner, 20%; Roth, 30%; and Lowe, 50%). The partners decide to liquidate the partnership. Immediately before liquidation, the partnership balance sheet shows total assets, $164,400; total liabilities, $110,000; Turner, Capital, $5,700; Roth, Capital, $15,600; and Lowe, Capital, $33,100. The liquidation resulted in a loss of $98,400.Assume that the Turner, Roth, and Lowe partnership is a limited partnership. Turner and Roth are general partners. Lowe is a limited partner, meaning any remaining deficiency in Lowes capital account is covered by Turner and Roth. Determine how much, if any, each partner should contribute to the partnership to cover any remaining capital deficiency. (Do not round intermediate calculations. Losses and deficits amounts to be deducted should be entered with a minus sign.) Find the surface area of a square pyramid with side length 6 in and slant height 4 in. Only final goods and services are included in the calculation of GDP:a. because only final goods and services have measurable valueb. to make GDP simpler to determinec. because final goods and services are taxed, while intermediate goods and services are notd. to avoid double counting of actual national output, or incomee. to ensure that income approach yields a result that exceeds the value, using the expenditures approach 1-. Verify that the functions cos(mx) and cos(nx) for mn are orthogonal in [-,]2-. Expand the following functions into a Fourier series. f(x) = { 0 < x < 0 - x 0 < x < (x)=x - Accountable health plans are a value-based model in which:a- the value of the plan to companies is the low cost to cover employees for a wide range of services (medical, dental, mental health)b- organizations are reimbursed based on quality metrics and reductions in cost of care data.c- consumers pay a low price for the cost of their cared- All of these are correct. Why does Bernard of Clairvaux single out the reliquary in his text on monastic excess? Smarttron has developed smart energy meters which are digital meters to indicate the power / energy a consumer. These meters provide a digital readout and have support of blue tooth and WiFi for both single phase and 3 phase measurements for domestic and commercial users. These measurements can be carried out over a network from a remote place. Our state electricity board plans to replace the existing analog energy meters with these smart meters. As a MIS expert, suggest the changes to the existing billing system and explain what additional services can be offered by the Electricity board to its consumers based on the available technology. which of the following aqueous mixtures would be a buffer system?A) HCl, NaClB)HNO3, NaNO3C) H3PO4, H2PO4-D) H2SO4, CH3COOHE) NH3, NaOH Which of the following best reflects a country's ability to obtain funds from abroad necessary to meet its public- and private-sector obligations to nonresidents? Multiple Choice 1. Fiscal assessment 2. External assessment 3. Monetary assessment Let u =(1,3,-2) and v = (0,2,2). (a. 10 pts) Determine compvu the scalar projection of u onto v. (b. 10 pts) Determine projyu the vector projection of u onto v. (c. 10 pts) Determine the angle between the vectors u and v. Give your answer to the nearest tenth of a degree. (d. 10 pts) Determine a vector w that is orthogonal to both u and v. An electron moves along the z-axis with vz=6.0107m/s. As it passes the origin, what are the strength and direction of the magnetic field at the following (x, y, z) positions?Part A(2 cm , 0 cm, 0 cm)Express your answers using two significant figures.Enter your answers numerically separated by commas.Part B(0 cm, 0 cm, 1 cm )Express your answers using two significant figures. Enter your answers numerically separated by commas.Part C(0 cm, 2 cm , 1 cm )Express your answers using two significant figures. Enter your answers numerically separated by commas. given that e o = 0.52 v for the reduction cu (aq) e cu(s), calculate e o , g o , and k for the following reaction at 25c: 2cu (aq) cu2 (aq) cu(s) Which compounds are not soluble in water at room temperature?l CaS04 ll PbCl2 lll KBr lv KNO3 a. Iand II b. II and III onlyc. III and IV onlyd. Ill and IV only. Your Aunt will put $100,000 into a bank while you are growing up. The money will grow at 4.0% interest for exactly n= 8 years. Then exactly one year later, (at n + 1) you start to withdraw the money in 6 annual equal withdrawals, depleting the account. How much can you withdraw to the nearest cent each year? Hint: Draw a time diagram. This is a compound problem where first you need to figute out how much the money grows to for the n years, and then you set up the problem to figure out the payments. Make yourself a time diagram to help & Moving to the next question prevents changes to this answer. My name is Chris Mittelstaedt. And I'm the founder and CEO of The FruitGuys. The idea was very simple in the beginning. It was we were just trying to replace junk food in office break rooms with healthy food. We offer consumer's choice. So we have an organic product that is sort of our premiere product that we promote. We have a conventional product that people can also buy if they'd like to. But then even in our conventional products we try to fit in as much locally grown, sustainable, and organically harvested produce that we can that's caveated with in season because east coast, central, are going to be different than say the west coast and California. I mean, I think in a small business you always wrestle with the HR component because in a small company you can put your resources to things that you think have a faster return like sales people or, you know, things that are going to get you an immediate result to grow. For us, HR is more than having an HR executive who is going to like hire and manage sort of the benefits of people. It's really creating a culture. And how you create that culture is really, you know, that's your HR department in my mind. And that's, so I think we've done a good job at creating a strong culture here with limited HR structure and budget. >> My name Rebecca North. I've been working here for four years. You know, Chris has always been very, very supportive and inspiring. You know, he, I think, leaves a lot of room for people to bring their own passions and their own investments into the company in various ways. We're not just employees. I don't feel like that. I feel like he genuinely wants us, as people, to be good people and do a good job for ourselves and for the company too. >> I believe personally that, you know, people like to be part of something bigger than themselves. They want to know that their work contributes to something that is a bigger movement or is something that is going to have a greater influence than just their individual daily work. And that's something that we try to make sure we explain to people in their jobs and that we are talking to people about all the time so that they understand the effect that they have on, you know, the groups or whether it's vendors or society or the farmers we're working with, you know, we want people to understand that. [ Music ] >> This is Gabriel farm. We are Asian pear and apple growers. And we're organic. And sell to The FruitGuys. Well, The FruitGuys is a completely new model in the produce world. The old produce model is the produce buyer calls you up or you call them, and they try to beat you down in price. And they say, "Oh, I'm sorry. That's way too high, that price. Couldn't you go a little bit lower?" And, of course, since you need to sell your products often you do end up going down. The new model, which I'm happy to say, has arrived on the scene with people like Chris Mittelstaedt and The FruitGuys is how can we support our growers and make sure that they're able to survive and get the price they need for their produce. So, it's really a wonderful new model. It's respecting the growers and working in cooperation with them. >> The farmers we work with we have relationships with. I mean, I think that's the way we've always done it, and we want to continue to do it. >> Well, it's not always warm and fuzzy. Don't be deceived. You know, I mean, there's a lot of, there's a lot of work and negotiating and edge that comes along with like building those relationships and finding the people that work out. You know, I mean we've met loads of farmers, and I've visited and been to many farms where, you know, their agricultural practices and methodology may not be in line with what I or the company feels is acceptable. So we won't deal with them. You know, we're very thoughtful about who we work with and how we work with them. Let X1 and X2 be two independent random variables. E(X1) = 35, E(X2) = 29. Var(x1) = 82, Var(X2) = 94. Let Y = 8X1 + 2x2 What is the standard deviation of Y? Carry