A new fast food franchise has been started in Baltimore that uses a drive-through window to deliver crab-cake sandwiches. Customers arrive at an average rate of one every 30 seconds. Current service time has averaged 25 seconds with a standard deviation of 20 seconds. A suggested process change, has been tested and shown to change service time to an average of 27 seconds with a standard deviation of 10 seconds. Assume that no customers are blocked or abandon the system.

Will the average waiting time in the queue increase, decrease, or stay the same?
As a result of implementing this change will the average server utilization increase, decrease, or stay the same?

Answer:

AC=6

Step-by-step explanation:

You can see that  ABC is 4 times bigger that HIJ because of lines AB and HI. HI(with a value of one) had to be multiplied by four to equal AB (a value of 4). Use this same rule to find the side AC.

1.5(the length of HJ) times 4 =6.

Based on a random sample of 50 home theater systems, the 90% confidence interval for the population mean price is approximately $110.81 to $119.19, assuming a population standard deviation of $19.50.

To construct a 90% confidence interval for the population mean of home theater systems, we can use the following formula

Confidence Interval = Sample Mean ± Margin of Error

The margin of error depends on the level of confidence and the standard deviation of the population. Given that the sample size is large (n = 50) and we know the population standard deviation is $19.50, we can use the z-distribution.

First, we need to find the critical value (z) for a 90% confidence level. Using a standard normal distribution table or calculator, the critical value for a 90% confidence level is approximately 1.645.

Next, we calculate the margin of error (E) using the formula:

Margin of Error (E) = z * (Population Standard Deviation / sqrt(n))

E = 1.645 * ($19.50 / √(50))

E ≈ $4.19

Now we can construct the confidence interval:

Confidence Interval = Sample Mean ± Margin of Error

Confidence Interval = $115 ± $4.19

Confidence Interval ≈ ($110.81, $119.19)

Therefore, we can say with 90% confidence that the population mean of home theater systems is between approximately $110.81 and $119.19.

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It will take approximately 9 years and 2 months for quarterly deposits of $625, with an interest rate of 8.48% compounded quarterly, to accumulate to $20,440.

To calculate the time it takes for the deposits to accumulate to the desired amount, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the accumulated amount

P = the principal amount (initial deposit)

r = the annual interest rate (converted to a decimal)

n = the number of times interest is compounded per year

t = the number of years

In this case, the principal amount (P) is $625, the interest rate (r) is 8.48% (or 0.0848 as a decimal), the number of times interest is compounded per year (n) is 4 (quarterly compounded), and the desired accumulated amount (A) is $20,440.

We need to solve for t, the number of years. Rearranging the formula, we have:

t = (log(A/P)) / (n * log(1 + r/n))

Plugging in the values, we get:

t = (log(20440/625)) / (4 * log(1 + 0.0848/4))

Calculating this, we find that t is approximately 9.18 years. Converting this to years and months, we get approximately 9 years and 2 months. Therefore, it will take around 9 years and 2 months for the quarterly deposits of $625 to accumulate to $20,440 at an interest rate of 8.48% compounded quarterly.

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The value of arc ABD is  determined as 236⁰.

Option C.

The value of arc ABD is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

arc BA = 2 x 48⁰ (interior angles of intersecting secants)

arc BA = 96⁰

arc BD = 2 x 70⁰ (interior angles of intersecting secants)

arc BD = 140⁰

arc ABD = arc BA + arc BD

arc ABD = 96⁰  + 140⁰

arc ABD = 236⁰

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The number of shoppers on the first day is 150, and each subsequent day the number of shoppers increases by 15%.

Number of shoppers on the first day: The shopping mall recorded a total of 150 shoppers on their first day of business.

Increase in shoppers each day: Starting from the second day, the number of shoppers increases by 15% compared to the previous day.

To calculate the number of shoppers on each day, we can use the following steps:

Day 1: The number of shoppers on the first day is given as 150.

Day 2: To find the number of shoppers on the second day, we need to increase the number of shoppers from the previous day by 15%.

Number of shoppers on Day 2 = Number of shoppers on Day 1 + (15/100) * Number of shoppers on Day 1

Day 3: Similarly, to find the number of shoppers on the third day, we increase the number of shoppers from the second day by 15%.

Number of shoppers on Day 3 = Number of shoppers on Day 2 + (15/100) * Number of shoppers on Day 2

We can continue this process for each subsequent day, using the number of shoppers from the previous day to calculate the number of shoppers for the current day.

By following these steps, we can determine the number of shoppers on each day, starting from the first day and increasing by 15% each day compared to the previous day.

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Answer:

1=function

2=not function

3=function

4=function

5=function

6=not function

7=not function

8=function

Answer:

C. 12

hope they help

first mile $2.25 plus $3.50 ×12= $42.00+2.25=44.25

An example of a commutative ring R with 1, a prime ideal P, and no zero divisors but R is not an integral domain is the ring R = Z/6Z, where Z is the set of integers and 6Z is the ideal generated by 6.

The ring R = Z/6Z consists of the residue classes of integers modulo 6. The elements of R are [0], [1], [2], [3], [4], and [5], where [a] denotes the residue class of a modulo 6.

In this ring, addition and multiplication are performed modulo 6. For example, [2] + [3] = [5] and [2] * [3] = [0].

R has a multiplicative identity, which is the residue class [1]. It is commutative since addition and multiplication are performed modulo 6.

The ideal P = 2R consists of the elements [0] and [2]. P is a prime ideal since R/P is an integral domain, which means there are no zero divisors in R/P. However, R itself is not an integral domain because [2] * [3] = [0] in R, showing that zero divisors exist in R.

Therefore, the ring R = Z/6Z, with the prime ideal P = 2R, satisfies the given conditions.

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Here are five other iterated integrals that are equal to the given iterated integral:
∫₀ʸ ∫⁺∞ₓ ∫¹₀ f(x, y, z)dz dx dy
∫₀ʸ ∫¹₀ ∫ʸ ∞ f(x, y, z)dz dx dy
∫⁺∞₁₀ ∫₀ʸ ∫ʸ ₀ f(x, y, z)dz dy dx
∫¹ᵧ ∫⁺∞₁₀ ∫₀ x f(x, y, z)dz dx dy
∫⁺∞₀ ∫⁺∞₁₀ ∫ʸ ₀ f(x, y, z)dz dx dy

The given iterated integral ∫¹₀ ∫¹ᵧ ∫ʸ ₀ f(x, y, z)dx dx dy represents the integration of a function f(x, y, z) over a region defined by the limits of integration. To obtain five other equivalent iterated integrals, we can rearrange the order of integration and modify the limits accordingly. Each integral represents the same volume or value as the given iterated integral, but the order of integration and limits may vary.
The key is to ensure that the new integrals cover the same region as the original one. The limits in each integral should define the appropriate range for each variable to maintain the equivalence. By rearranging the order of integration and adjusting the limits accordingly, we can obtain these alternative expressions that are equal to the given iterated integral.

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The percentage of arrests for people who received Multisystemic Therapy (MST) can be calculated by dividing the number of individuals arrested in the MST group (87) by the total number of individuals.

Percentage of arrests for MST group = (87/215) * 100 ≈ 40.47%

To determine if therapy caused significantly fewer arrests at a 0.05 significance level, we need to compare this percentage with the percentage of arrests in the control group.

The percentage of arrests for the control group can be calculated in a similar manner by dividing the number of individuals arrested in the control group (74) by the total number of individuals in the control group (196), and multiplying by 100.

Percentage of arrests for control group = (74/196) * 100 ≈ 37.76%

Comparing the sample percentages, we find that the percentage of arrests for people who received MST (40.47%) is slightly higher than the percentage of arrests for the control group (37.76%).

To determine if this difference is statistically significant at a 0.05 significance level, we would need to perform a hypothesis test, such as a chi-square test, to compare the observed frequencies with the expected frequencies under the assumption that therapy has no effect on reducing arrests.

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Answer:

One big change during Kublai's reign was that foreigners became the rulers and administrators. Since they didn't trust the local people, they moved in a large number of Muslims and other people to help them rule the empire. The Mongols had their own religious belief called Shamanism.

Answer:

what is your question? it seems the answer would be 12 just by looking at this, but still what is the question exactly?

Step-by-step explanation:

Answer: if you are dividing the answer will be 12

(i wrote two since it dosent say what we need to do

if you are multiplying you answer will be 192

hope it helped!

Step-by-step explanation:

139

ffsahshanjwjsjudke

Answer:

The final concentration in the tank is 0.045 kg/L, which is the same as the concentration of the incoming solution.

To solve the problem, we can use the formula:

C1V1 + C2V2 = C3V3

where C1 is the initial concentration, V1 is the initial volume, C2 is the concentration of the incoming solution, V2 is the volume of the incoming solution, C3 is the final concentration, and V3 is the final volume.

We know that the initial volume of the tank is 1000 L and it contains 90 kg of salt. To find the initial concentration, we need to convert the mass of salt to concentration by dividing it by the total volume:

90 kg / 1000 L = 0.09 kg/L

This means that initially, the concentration of salt in the tank is 0.09 kg/L.

Next, we need to calculate how much salt enters and leaves the tank during a given time period. Since the incoming solution has a concentration of 0.045 kg/L and enters at a rate of 8 L/min, it brings in:

0.045 kg/L x 8 L/min = 0.36 kg/min

The outgoing solution has the same concentration as the final concentration in the tank, so we can use this formula to find it:

C1V1 + C2V2 = C3V3

(0.09 kg/L)(1000 L) + (0.045 kg/L)(8 L/min)(t min) = C3(1000 L + 8 L/min)(t min)

Simplifying and solving for C3, we get:

C3 = (0.09 kg/L)(1000 L) + (0.045 kg/L)(8 L/min)(t min) / (1000 L + 8 L/min)(t min)

At steady state, when the amount of salt entering and leaving the tank is equal, we can set the incoming and outgoing terms equal to each other:

0.36 kg/min = C3(8 L/min)

Solving for C3, we get:

C3 = 0.045 kg/L

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To approximate the area under the graph of the function F(x) = 0.2x³ + 2x² - 0.2x - 2 over the interval (-9, -4) using 5 subintervals and left endpoints, we can use the left Riemann sum method. The total area under the graph of F(x) over the interval (-9, -4).

To approximate the area using the left Riemann sum method, we start by dividing the interval (-9, -4) into 5 subintervals of equal width. The width of each subinterval can be calculated as (b - a) / n, where b is the upper limit of the interval (-4), a is the lower limit of the interval (-9), and n is the number of subintervals (5 in this case).

Next, we evaluate the function F(x) at the left endpoint of each subinterval to find the height of the rectangles. For the left Riemann sum, the left endpoint of each subinterval is used as the height. In this case, we evaluate F(x) at x = -9, -7, -5, -3, and -1.

Once we have the width and height of each rectangle, we can calculate the area of each rectangle by multiplying the width and height. Finally, we sum up the areas of all the rectangles to approximate the total area under the graph of F(x) over the interval (-9, -4).

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Answer:  C

Step-by-step explanation: C because there is obviously a correlation yet we cannot determine if there is causation or not.

Answer:

The function stated by Tucker is incorrect.

V(t) = 4600(0.8)^t

Step-by-step explanation:

Given the function :

V(t)=4,600(0.4)2t

The initial value of equipment = 4600

Decay rate = 40% of very 2 years

The value of equipment t years after purchase

The exponential decat function goes thus :

V(t) = Initial value * (1 - decay rate)^t

The Decay rate per year = 40% /2 = 20% = 0.2

V(t) = 4600(1 - 0.2)^t

V(t) = 4600(0.8)^t

Answer:

(2, 7) is not an ordered pair for the function.

Step-by-step explanation:

To find the equation of a parabola given its focus and directrix, we use the standard form of the equation of a parabola which is:

[tex]\frac{(y-k)^2}{4a} = x-h[/tex]

Where (h,k) is the vertex of the parabola, and a is the distance between the vertex and the focus (or between the vertex and directrix, they're equal).

Therefore, the answer is option D, (y-3)²-4(x-3).

Using this formula, let's first find the vertex of the parabola. Since the directrix is a horizontal line, the vertex lies halfway between the focus and directrix on the y-axis. Thus, the vertex is at (3,3).

Since the focus is above the vertex, a is positive, and its value is the distance between the vertex and focus:

a = 4 - 3

= 1

Substituting these values into the standard form of the equation of a parabola gives:

[tex]\frac{(y-3)^2}{4(1)} = x - 3$$[/tex]

[tex]\frac{(y-3)^2}{4} = x - 3$$[/tex]

Multiplying both sides by 4 gives:

y - 3 = 2(x - 3)

y = 2x - 3

Therefore, the answer is option D, (y-3)²-4(x-3).

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Answer:

Equal to.

Step-by-step explanation:

The 0 at the end of 9.90 does not add any value to the number because its 0.

Answer:

It is equal.

Step-by-step explanation:

9.90 = 9.9 , it's the same as the 0 does not count on it.

The linear map is  not surjective but injective.

A linear map is an operation between two vector spaces that preserves the properties of addition and scalar multiplication; therefore, it is a linear transformation.

Here is how to determine if the following linear maps are surjective or injective.

(a) The derivative map T: P3(R) → P₂(R); P₂(R); p(x) → d/dx -p(x) is an example of a linear map,

where P3(R) and P₂(R) are the vector spaces of polynomials of degree at most 3 and 2 with coefficients in R, respectively.

Moreover, d/dx is the derivative operator acting on the polynomial p(x).

The kernel of the linear map T is the subspace of P3(R) consisting of polynomials p(x) with T(p(x)) = d/dx -p(x) = 0, i.e., p(x) is constant.

However, a constant polynomial of degree zero is not in the range of T, since it has no derivative. Therefore, the linear map T is injective and not surjective.

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Answer:

a protractor is not needed to constant a perpendicular bisecter

Step-by-step explanation:

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8 x 7s = 56s

8 x (-2) = -16

so 8(7s - 2) = 56s - 16

Answer:

Because you didnt pay for brainly.

If you do, no adds :D

Its a lot easier to be honest

Answer: Because the advertisements are corporations' way of making a market with the internet. They pay a fee to have their adds placed on sites and above videos, and by watching them, that generates revenue for the content creator and the hosting domain itself.    

you welcome

Step-by-step explanation:

Answer:

s = 0.75 inches

Step-by-step explanation:

Let s = side length of the original square

s + 3 = side length of the new square

Area of a square = s²

A = s²

A = (s+3)²

A = s² + 6s + 9

Area multiplied by 25 = 25 * s²

So,

s² + 6s + 9 = 25s²

25s² - s² - 6s - 9 = 0

24s² - 6s - 9 = 0

8s² - 2s - 3 = 0

a = 8

b = -2

c = -3

s = -b ± √b² - 4ac / 2a

= -(-2) ± √(-2)² - 4(8)(-3) / 2(8)

= 2 ± √4 - (-96) / 16

= 2 ± √100 / 16

= 2 ± 10/16

s = 2 + 10/16 or 2-10/16

= 12/16 or -8/16

= 0.75 or -0.5

side length can not be negative

Therefore, s = 0.75

A = s²

A = (0.75)²

= 0.5625

A = (s+3)²

= (0.75+3)²

= 3.75²

= 13.95

Answer:

3 stamps

Step-by-step explanation: 42 stamps in equal groups would be 6 stickers/group.

6+3 = 9 stickers in each pile

there was 7 piles so multiply 7 by the 9 stickers in each pile

7· 9 = 63  

5 · 12 = 60, so she gave her friends 60 stickers

63-60 = 3  

Answer:

7.6

Step-by-step explanation:

-3 multiple by y and -3 multiple by 2 resolve to 7.6....

Answer:

x=−2 and y=3/2

Step-by-step explanation:

see picture