PLEASE ANSWER QUICK!!! 20 POINTS!!!!1
Suppose the length of voicemails (in
seconds) is normally distributed with a mean
of 40 seconds and standard deviation of 10
seconds. Find the probability that a given
voicemail is between 20 and 50 seconds.
10
20
30
40
P = [?]%
Hint: use the 68 - 95 - 99.7 rule.
50 60
70
Enter

The specific numerical solution will depend on the number of firms in the market and their behavior.

In a Stackelberg version of monopolistic competition, there is a leader firm that sets its output first, and all the other firms in the market act as followers and choose their outputs simultaneously.

Suppose there are "n" firms in the market, with the first firm denoted as the leader. Let's assume that each firm has a constant marginal cost of $10 per unit. Then, the leader firm's profit-maximizing output level can be found by solving the following problem:

max (30-Q1-Q2-...-Qn)Q1 - 10Q1

subject to Q1 >= 0

where Q1 is the output level of the leader firm, and Q2, Q3, ..., Qn are the output levels of the follower firms.

Taking the first-order condition by differentiating with respect to Q1 and setting it equal to zero, we get:

d/dQ1 [(30-Q1-Q2-...-Qn)Q1 - 10Q1] = 0

Simplifying this expression, we get:

30 - Q1 - Q2 - ... - Qn - 2Q1 = 0

Solving for Q1, we get:

Q1 = (30 - Q2 - ... - Qn)/3

This equation gives us the leader firm's profit-maximizing output level as a function of the follower firms' output levels.

Now, let's consider the follower firms' profit-maximizing output levels. Since each follower firm is a price-taker, its profit-maximizing output level can be found by equating marginal cost to market price, which is equal to the market demand curve divided by the total quantity produced by all firms in the market. Therefore, the profit-maximizing output level of the jth follower firm can be expressed as:

Qj* = (1/n) * (30 - Q1 - Q2 - ... - Qj-1 - Qj+1 - ... - Qn - 10)

where Qj* is the follower firm's profit-maximizing output level, and j = 2, 3, ..., n.

Using these expressions for the leader and follower firms' profit-maximizing output levels, we can solve for the equilibrium outputs and profits in the Stackelberg version of monopolistic competition. However, the specific numerical solution will depend on the number of firms in the market and their behavior.

To learn more about market visit:

https://brainly.com/question/13414268

#SPJ11

You would want to find the slope of the line (for this, look at the coordinate pairs and the y intercept). The slope equation is y2-y1/x2-x1. Once you find this out, rewrite in y = mx + b

Plug in 6 for x, then solve for y.

The maximum amount of water that the tank can hold is 82,824 cubic inches, which corresponds to option (a) in the given answer choices.

To find the maximum amount of water that the tank can hold, we need to find the volume of the tank. The volume of a rectangular prism (which is what a fish tank is) can be found by multiplying the length, width, and height of the prism.

Volume = length x width x height

Plugging in the given dimensions of the fish tank, we get:

Volume = 34 in x 58 in x 42 in

Volume = 82,824 in^3

Therefore, Correct option is A.

To learn more about Volume click on,

https://brainly.com/question/26144802

#SPJ4

The roof area is 468.75 square feet.

To find the roof area, we need to follow these steps:
Determine the rise (vertical distance) using the slope of 9 inches per foot:

Since the run is 10 feet, the rise is 9 inches/foot × 10 feet = 90 inches.
Convert the rise to feet: 90 inches ÷ 12 inches/foot = 7.5 feet.
Calculate the length of the rafter using the Pythagorean theorem:

Rafter length = √(run² + rise²) = √(10² + 7.5²) = √(100 + 56.25) = √156.25 = 12.5 feet.
Determine the total length of the gable roof:

Since the rake slope is 1.25, we have Total length = Rafter length × Rake slope = 12.5 feet × 1.25 = 15.625 feet.
Calculate the roof area:

Roof area = Eaves length × Total length = 30 feet × 15.625 feet = 468.75 square feet.
None of the given options matches the calculated roof area.

It is possible there is a mistake in the question or the provided options.

For similar question on roof.

https://brainly.com/question/29253418

#SPJ11

Answer:

2(1/2)(8)(15) + 17(2) + 8(2) + 15(2)

= 200 cm^2

The surface area of the triangular pyramid in the image given is calculated as: C. 323 square inches.

To find the surface area of the triangular pyramid, find the area of each face and the base as shown in the net given and add all together.

Area of the three triangular faces = 3(1/2 * base * height)

= 3(1/2 * 15 * 10)

= 3(75)

= 225 square inches

Area of the triangular base = 1/2 * base * height

= 1/2 * 15 * 13

= 97.5 square inches

The surface area = 225 + 97.5 = 322.5

≈ 323 square inches.

Learn more about the surface area of triangular pyramid on:

https://brainly.com/question/28372970

#SPJ1

Answer:3,380

Step-by-step explanation:

we need to apply cross-multiplication to the ratio of chili preferences in the sample (60) against the total attendance (8450). This gives us:

(60/150) = (x/8450)

where x is the number of people in attendance who would prefer chili on a hot dog.

Simplifying this equation, we get:

x = (60/150) * 8450x = 3,380

The test statistic for the appropriate test to determine if there is a significant mean difference between the percent correct on the two sections for all candidates similar to the one in the investigation is given by t = 75 - 65 / [8 / √(50)], option (A) is correct.

The appropriate test to determine if there is a significant mean difference between the percent correct on the two sections is a two-sample t-test assuming equal variances.

The test statistic for this hypothesis test can be calculated using the formula:

t = x' / ([tex]s{p}[/tex] × √n')

where x' is the sample means for the first and second sections, respectively, [tex]s{p}[/tex] is the pooled standard deviation, and n' is the sample sizes for the first and second sections.

Using the information given in the question, we can calculate the values needed for the test statistic:

x₁ = 75, x₂ = 65, s₁ = 10, s₂ = 5, n' = 50

x’ = x₁ - x₂ = 75 - 65 = 10

The pooled standard deviation is given by [tex]s_{p}[/tex] = 8

We can calculate the test statistic:

t = (x') / [[tex]s_{p}[/tex] / √(n)]

t = 75 - 65 / [8 / √(50)]

Further simplifying:

t = 10 / [8 / √(50)]

t = 8.8356

Hence, option (A) is correct.

To learn more about statistic follow the link:

https://brainly.com/question/31538429

#SPJ4

– The question is incomplete, The complete question is:

To obtain certification for a certain occupation, candidates take a proficiency exam. The exam consists of two sections, and neither section should be more difficult than the other. To investigate whether one section of the exam was more difficult than the other, a random sample of 50 candidates was selected. The candidates took the exam and their scores on each section were recorded.

The summary of the statistics are as follows:

-For the first section, Mean Percent Correct is 75 and Standard Deviation Percent Correct is 10

-For the second section, Mean Percent Correct is 65 and Standard Deviation Percent Correct is 5

-The difference is, Mean Percent Correct is 10, and the pooled Standard Deviation Percent Correct is 8

Which of the following is the test statistic for the appropriate test to determine if there is a significant mean difference between the percent correct on the two sections (first minus second) for all candidates similar to the one in the investigation?

A) t = 75 - 65 / (8 / √(50))

B) t = 75 - 65 / [√(10² / 50 + 5² / 50)]

C) x² =(75 - 70)² / 70 + (65-70)² / 70

D) x² = (75-70)² / 65 + (65-70)² / 65

To find sin(Q), we first calculated the length of the hypotenuse using the Pythagorean theorem. Then we used the sine function to find sin(Q) which is approximately 0.78 rounded to the nearest hundredth.

We can use the Pythagorean theorem to find the length of the third side, which is the hypotenuse

h = √(P² + Q²)

h = √(7² + √95²)

h = √(49 + 95)

h = √144

h = 12

Now, we can use the sine function to find sin(Q)

sin(Q) = opposite/hypotenuse = √95/12

Using a calculator, we get

sin(Q) ≈ 0.78

Rounding to the nearest hundredth, we get

sin(Q) ≈ 0.78

Therefore, the value of sin(Q) rounded to the nearest hundredth is 0.78.

To know more about Pythagorean theorem:

https://brainly.com/question/14930619

#SPJ1

--The given question is incomplete, the complete question is given

" Find the value of sin Q rounded to the nearest hundredth, if necessary.

Q= √95

P= 7 "--

Answer: 162

Step-by-step explanation:

so you will have to do 62+28+75=162

15 member enjoy both dancing and hiking.

The likelihood of the preceding event is multiplied by the probability of the subsequent, or conditional, occurrence to determine the conditional probability. Conditional probability examines the likelihood that one event will occur given the likelihood that a related event will occur beforehand.

We have,

Member enjoy dancing, n(D) = 62

Member enjoy hiking, n(H) = 28

Member enjoy dancing or hiking, n(D ∪ H) = 62

Using Conditional probability

n (D ∪ H) = n(D) + n(H) - n (D ∩ H)

75 = 62 + 28 - n (D ∩ H)

75 - 90 = - n (D ∩ H)

n (D ∩ H) = 15

Thus, 15 member enjoy both dancing and hiking.

Learn more about Conditional probability here:

https://brainly.com/question/30144287

#SPJ2

The formula for the volume (V) of a cylinder is given by:

V = πr^2h

where r is the radius of the cylinder and h is its height.

We are given the diameter of the cylinder as 28 meters, so the radius (r) is half of that, or 14 meters.

Using the given height of 7 and one half meters, we can now calculate the volume of the cylinder as follows:

V = πr^2h = (22/7) * (14)^2 * (7.5) = 4,620 cubic meters (rounded to the nearest whole number)

Therefore, the approximate volume of the cylinder is 4,620 cubic meters.

The value of 3×(2×-5) is 30

What is meant by the term value?

Value refers to the worth or usefulness of something, typically determined by its usefulness, desirability, or importance in relation to other things. It can also refer to the ethical or moral principles and beliefs that guide a person's actions and behaviours.

According to the given information

To solve the expression -3×(2×-5), we first need to evaluate the expression inside the parentheses:

2×-5 = -10

Then, we can substitute this value into the original expression and simplify further:

-3×(-10) = 30

Therefore, -3×(2×-5) = 30.

To know more about value visit

brainly.com/question/14316282

#SPJ1

Answer: It is simplified the way it is it can not be simplified anymore. its a trick question

Step-by-step explanation:

The translation is as shown in the figure in option B

Translation transformation is a type of geometric transformation that moves every point of a figure the same distance and direction. This transformation does not change the size, shape, or orientation of the figure, but only its position in space.

The transformation required ahs the rule defined as

Applying the rule arrives the image in option B

Learn more about translation at

https://brainly.com/question/1574635

#SPJ1

Answer:

a maybe

Step-by-step explanation:

Answer:

ΔABC and ΔDEF are similar by (AA).

option (2)

Step-by-step explanation:

Here to test if the two triangles are similar based on the information given I will attempt to see if they are similar using

Angle-Angle (AA) Similarity Theorem: If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

Δ = 180°

therefore using the givens:

m∠CAB = 18°

m∠ABC = 110°

m∠ACB = 180°-110°-18° = 52°

now for ΔDEF

because we know corresponding parts of similar triangles are proportional

∠DEF  ≅  ∠CAB

and because m∠ACB = 52° and m∠FDE = 52°

∠FDE  ≅  ∠ACB

Therefore by AA, we have proven that these two triangles ΔABC and ΔDEF are similar.

so option (2)

Answer:

4138158

Step-by-step explanation:

1+1+1+1+1+1+1+1+1+1+1+1+1+3+3+34

-13+6+34

-19+34

=59

4748957+84765

=4833722

59+4833722

=4833781

keep counting all of the number and then you get the same (?? iguess) answer as mine.

The required equilibrium quantity is 80 units and equilibrium price is 5600 in monetary units for the supply function p = 70q and the demand function p= -q^2+12000.

The supply function of a commodity is given as, p= 70q

The demand function of the commodity is given as, p= -q^2+12000

We know at equilibrium condition of market,

Supply of a commodity is equal to its demand in the market.

Therefore,

70q = p = -q^2+12000

⇒ 70q = -q^2+12000

⇒ q^2+ 70q -12000 = 0

⇒ q^2+ 150q - 80q -12000 = 0

⇒ q( q + 150) - 80( q + 150) = 0

⇒ (q -80) ( q + 150) = 0

⇒q = 80 ad q = -150

We ignore the negative value of q, that is - 150 , as quantity of a commodity can not in negative.

Therefore, the equilibrium quantity of the commodity is 80 units.

Thus, p = 70(80) = 5600 (in monetary units)

Therefore, equilibrium price of the commodity is 5600 (in monetary units).

To know more about equilibrium quantity and equilibrium price here

https://brainly.com/question/30357972

#SPJ4

The mean of the game is 9

To find the mean of a game with two possible outcomes, we need to multiply the value of each outcome by its probability and then add the results.

Let X be the random variable representing the outcome of the game. The first outcome has a value of 5 and a probability of 0.2, while the second outcome has a value of 10 and a probability of 0.8.

Thus, the expected value or mean of the game can be calculated as:

E(X) = (0.2 x 5) + (0.8 x 10)

= 1 + 8

= 9

Therefore, the mean of the game is 9

Learn more about mean

https://brainly.com/question/31101410

#SPJ4

Answer:

1) She needs (35 × 2) + 8 = 78 inches

When the explanatory variable is categorical and the response variable is quantitative, a box plot or a bar plot would be appropriate to display the relationship between the two variables.

When the explanatory variable is categorical and the response variable is quantitative, a box plot or a bar plot would be appropriate.

A box plot (also known as a box-and-whisker plot) displays the distribution of the response variable within each category of the explanatory variable. It shows the median, quartiles, and outliers of the data, making it useful for visualizing differences in central tendency and spread between categories.

A bar plot (also known as a bar chart) displays the mean, median, or sum of the response variable for each category of the explanatory variable. It is useful for comparing the values of the response variable between categories.

Both box plots and bar plots are effective in displaying the relationship between a categorical variable and a quantitative variable. The choice between the two would depend on the specific research question, the nature of the data, and the intended audience.

Learn more about explanatory variable here

brainly.com/question/17562805

#SPJ4

These plots help visualize the distribution of the quantitative response variable across different categories in the explanatory variable.

When the explanatory variable is categorical and the response variable is quantitative, a bar chart or a box plot would be appropriate. A bar chart displays the mean or median of each category, while a box plot displays the distribution of each category including the median, quartiles, and outliers. These plots help to visualize the relationship between the categorical and quantitative variables and identify any patterns or differences between categories.
When the explanatory variable is categorical and the response variable is quantitative, an appropriate type of plot to use would be a box plot or a violin plot. These plots help visualize the distribution of the quantitative response variable across different categories in the explanatory variable.

learn more about explanatory variable

https://brainly.com/question/29820449

#SPJ11

The population from which the manager should choose a sample to answer her question is: B. The list of customers who purchased plants from the nursery.

A population is a term that goes by the definition of it being the entire group that we specifically intend to get conclusions about. Meanwhile, we ca sample is defined as the specific group that you will collect data from. The size of the given sample is normally always less than  that of the total size of the given population. In research, it is noticed that a population doesn't always mean we are referring to people.

Now, we are told that the manager wants to know which types of plants his customers buy most often.

Looking at the options, the most appropriate population from which a sample could be gotten from is the list of customers who purchased plants from the nursery.

Read more about Population and sample at: https://brainly.com/question/7301139

#SPJ1

Answer: d

Step-by-step explanation:

Answer:

B: Range of round 1 were higher than the range of Round-2.

Step-by-step explanation:

Please give me Brainliest.

I’d say 30 shirts.

Step-by-step explanation:

 30 seconds = 3 shirts 1 minute 30 seconds = 9 shirts 30 seconds per each 3 shirts.

shirts:      3, 6, 9, 12, 15, 18, 21, 24, 27, 30minutes: .5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5

Answer:

15 (B).

Step-by-step explanation:

I took the test.

Answer:

The top right graph shows the solution to this system of linear equations.

Answer:

Answers in the picture. Thanks

To create a table for the line y=1-4x from x=-2 to x=2, we substitute in each x value into the equation, solve for y, and display these pairs in a table. The pairs are (-2, 9), (-1, 5), (0, 1), (1, -3), and (2, -7).

The equation of the line is y = 1 - 4x. To create a table showing the values of x and y where x is from -2 to 2, we need to substitute each value of x into the equation, solve for y, and then organize the results in a table.

So, the table representing these values would look like this:

x               y

-2             9

-1              5

0               1

1               -3

2              -7

https://brainly.com/question/32634451

#SPJ2