During the early morning hours, customers arrive at a branch post office at an average rate of 63 per hour (Poisson), while clerks can provide services at a rate of 21 per hour. If clerk cost is $13.8 per hour and customer waiting time represents a cost of $15 per hour, how many clerks can be justified on a cost basis a. 6 b. 8 C. 4 d. 7 e. 5

Answer:

srry i couldnt answer earlier i didnt see yor question but here ye go Answer:

y + 9 = 6(x - 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 6 and (a, b) = (4, - 9), thus

y - (- 9) = 6(x - 4), that is

y + 9 = 6(x - 4)

Jelly beans are $1.5/lb and trail mix is $2.063/lb, according to the data.

A heterogeneous mixture would be a trail mix. When the components of a combination are dispersed unevenly across the mixture, the mixture is said to be heterogeneous. As a mixture of nuts, raisins, and other seeds, trail mix cannot have an evenly distributed dispersion of its ingredients.

t = trail mix, j = jelly beans

3t + 8j = 21

5t + 2j = 18

Solving the first for t

2t = 6j - 3

t = (6j - 3)/2

Substituting

5(6j - 3)/2 + 2j = 18

j = 51/34

j = 1.5, Jelly beans cost $1.5/lb

now,

8t + 3(1.5) = 21

8t = 16.5

t = 2.0625, trailmix costs $2.063 dollars/lb

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Step-by-step explanation:

The expression can be simplified as follows:

-12 + |-3| - |-14| = -12 + 3 - 14 = -23

So, the answer is -23.

Answer: -23

Step-by-step explanation: The absolute value symbols turn the numbers inside to positive. The subtraction symbols outside dont change. When doing this conversion the simplified version will be -12+3-14 which equals -23.

Increasing the standard deviation from 21.4 to 42.8 would double the width of the confidence interval.

The width of a confidence interval is affected by several factors, including the sample size, the level of confidence, and the standard deviation. In this scenario, if the standard deviation of the tests had been 42.8 points instead of 21.4 points, it would have doubled.

When the standard deviation of a sample increases, it indicates that the data points are more spread out and there is more variability within the sample. This increased variability results in a wider confidence interval.

In other words, a larger standard deviation would lead to a wider range of possible values in the confidence interval, indicating less precision and a lower level of confidence in the estimated population parameter. Therefore, increasing the standard deviation from 21.4 to 42.8 would increase the width of the confidence interval by a factor of 2.

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Step-by-step explanation:

answer is 0

because x= 2 and y =3 make a circle

Answer:

around 15.3

Step-by-step explanation:

3^2 + 15^2=c^2

Answer:

Step-by-step explanation:

Formula:

a^2 + b^2 + c^2

3^2 + 15^2 + c^2 = To find hypotenuse

3 • 3 + 15 • 15 = -c^2

9 + 225 = -c^2

234 = c^2

square root of 234 = 15.2970585408

c = 15.2970585408

The roof is 15.2970585408

The empirical probability of drawing the cards will be 6 / 55.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.

The number of kings in a well-shuffled deck consists of 52 cards which is 4.

The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.

In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,

The empirical probability will be calculated as,

P(E) = ¹³C₂ / ¹³C₄

P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]

P(E) = ( 4 x 3 ) / ( 11 x 10)

P(E) = 6 / 55

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An equation to represent the distance traveled, y, after x seconds is y = 9.25x.

In Mathematics, a proportional relationship produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) based on the data points provided as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 64.75/7

Constant of proportionality, k = 9.25.

Therefore, the required equation is given by;

y = kx

y = 9.25x

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Answer:

Step-by-step explanation:

f(x)=-3x²+6x-7

=-3(x²-2x+1-1)-7

=-3(x²-2x+1)+3-7

=-3(x-1)²-4

Greatest value=-4 and is obtained at x=1

Answer:

Question (8). m∠1 = 142°

                     m∠2 = 300°

Question (9). m∠1 = 73°

                     m∠2 = 82°

Step-by-step explanation:

Question (8). m∠1 + 38° = 180° [Supplementary angles]

                              m∠1 = 180 - 38

                              m∠1 = 142°

                              m∠x = 38° [Alternate interior angles]

                               m∠y = 22° [Alternate interior angles]

                Now, m∠2 = 360° - (m∠x + m∠y)

                                   = 360° - (38 + 22)°

                          m∠2 = 300°

Question (9). m∠RMN + 98° = 180°

                       m∠RMN = 180 -98

                                      = 82°

                       m∠RMN = m∠ARM = 82°

                             m∠2 = 82°

                        m∠SNM = 73° [Vertical angles]

                        m∠SNM = m∠OSR = 73°[Corresponding angles]

                               m∠1 = 73°

To make 4 dozen cookies she would need

→ 3/2 cup peanut butter

→  3  cup of vegetable shortening

→ 1 1/2 cups of firmly packed light brown sugar

→ 6 tablespoons of milk

→ 2 3/2 tablespoons of vanilla extract

→  2 cups of flour

→ 3/2 teaspoon of baking soda

→ 1/2 teaspoon salt

To make 4 dozen cookies

she will need double the items which are mentioned in the list

thus the required list will look like this

3/4 × 2 = 3/2 cup peanut butter

3/2 cup of vegetable shortening = 3/2 × 2 = 3  cup of vegetable shortening

1 1/4 cups of firmly packed light brown sugar = 1 1/4 × 2 = 1 1/2 cups of firmly packed light brown sugar

3 tablespoons of milk = 3 × 2 = 6 tablespoons of milk

2 3/4 tablespoons of vanilla extract = 2 3/2 tablespoons of vanilla extract

1 large egg = 1× 2 = 2 large eggs

1 1/2 cups flour = 1 1/2×2 = 1 + 1 = 2 cups of flour

3/4 teaspoon baking soda = 3/2 teaspoon of baking soda

1/4 teaspoon salt = 1/4 × 2 = 1/2 teaspoon salt

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Answer:

112 ounces

Step-by-step explanation:

1 pound = 16 ounces

We are converting 7 pounds to ounces

7 × 16 = 112

To determine the accuracy of a "population parameter," a "sample statistic" is used to create a confidence interval.

Although they are connected, confidence level and confidence interval are not the same thing.

Thus, to evaluate the accuracy of a "population parameter," a "sample statistic" is used to create a confidence interval.

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Answer:

C= $1t + x

Step-by-step explanation:

So,  an organic gallon of milk is 1 dollar more then regular so the equation starts at $1 + x.

But then buying the organic milk over time is t so you add that to the one dollar since it applies to the organic milk. Now the equation is $1t + x.

But now, the expression we wrote is equal to C so, now the equation is C=$1t + x

Minimum percentage: 96% of the data set lies between 50 and 100.

The value of k:

Mean – (k) (sd) = lower limit

75 – 5K - 50

75 – 50 = 5k

25 = 5k

K = 5

For the percentage, we are using:

1 – 1/k^2.

1 - 1/ 25 = 24/25 = 96%

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Answer:

2

Step-by-step explanation:

PEMDAS

(-3+4)2

(1)2

2x1=2

The dealer's cost is $21,998.15.To calculate the dealer's cost, we first need to determine the total cost of the sedan, including the base price, options, and destination charge. The total cost would be $22,375 + $1,800 + $350 = $24,525.

Next, we need to find out how much the dealer pays for the base price and options. The dealer pays 91.7% of the base price, which is $22,375 * 0.917 = $20,498.75. And the dealer pays 83.3% of the options price, which is $1,800 * 0.833 = $1,499.4. Finally, we add these two amounts to get the dealer's cost: $20,498.75 + $1,499.4 = $21,998.15. Therefore, the dealer's cost is $21,998.15.

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55/24 will be the simplified form of the expression 43/8 + 25/12 -31/6.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.

given an expression 43/8 + 25/12 -31/6

Simplify given data

=> 43/8 + 25/12 -31/6

=> 5 + 3/8 + 2 + 1/12 - 5 - 1/6

=> 2 + 3/8 + 1/12 - 2/12

=> 2 + 3/8 -1/12

=> 2 + 9/24 -2/24

=> 2 + 7/24

=> 55/24

therefore, The simplified form of the given equation will be 55/24.

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Answer:

a=(0,0)

Step-by-step explanation:

i actually dont know but thnks for the points BTW

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeee nose perdon xd

bisects x = -12AB / (2AB - 6BD)

m∠ABC = 6x

= 6 × (-12AB / (2AB - 6BD))

To solve for x and find the measure of angle ABC (m∠ABC), we will apply the angle bisector theorem and use the given information.

According to the angle bisector theorem, the ratio of the lengths of the segments created by an angle bisector is equal to the ratio of the measures of the angles formed by the bisector.

Let's set up the equation using the given information:

m∠ABD = 6x (angle ABD)

m∠DBC = 2x + 12 (angle DBC)

Using the angle bisector theorem, we have:

AB/BD = m∠ABD/m∠DBC

Since BD bisects ∠ABC, we can substitute the given measures into the equation:

AB/BD = (6x) / (2x + 12)

To solve for x, we can cross-multiply:

AB × (2x + 12) = BD × (6x)

Expanding both sides of the equation:

2ABx + 12AB = 6BDx

Rearranging the equation:

(2AB - 6BD)x = -12AB

Now we can isolate x:

x = -12AB / (2AB - 6BD)

The measure of angle ABC (m∠ABC), we substitute the value of x back into the expression:

Simplifying this expression further would require additional information about the lengths of AB and BD.

Without this information, we cannot find the exact value of m∠ABC.

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Answer:

Hope this helps

Step-by-step explanation:

Answer:

It's a (space) lot,... haha na I just kidding,... you're good,... I mean I'm not kidding cause it is correct,... but you are good,... like totally cool,... anyway,...

Step-by-step explanation:

By x the just mean what number,... so,...

what number + 6 = 7,

6 + what number = 7,

2 + what number + 5 = 7,

1 + what number = 7,

what number + 4 + what number = 7,

So that is what it mean,... hope it helps, alot LOL,... and,... Chow

Answer:

WOW

Step-by-step explanation:

If you reflect the word MOM on a horizontal line, what you're doing is just writing the word upside down. O stays the same, M turns into W so you get WOW. I'm not sure if this is what you were asking though.

Answer:

The intersection of a line and a plane can be a/an ;

Step-by-step explanation:

Part 1

we have the formula

so

Poconos NY C=15 degrees

substitute in the formula

Canada, C=5

substitute

Part II

Holiday Inn ------> 80n+10

Days Inn ------> 110n-50

Part III

For n=3

substitute in each expression

Holiday Inn -----> 80(3)+10=$250

Days Inn ------> 110(3)-50=$280

therefore

The cheaper hotel is Holiday Inn

Part IV

Holiday Inn -----> cheaper hotel

Canada ----> the temperature is less than NY

therefore

The equation of the ellipse is:

\($ \rm \frac{x^2}{81} +\frac{y^2}{20.25}\1=1\)

By identifying the center, symmetry properties, focus location, and the ratio between the lengths of the major and minor axes, we can determine the equation of the ellipse using the standard form equation\(\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1\), where (h, k) represents the center coordinates and a and b are the lengths of the major and minor axes, respectively.

Given the information provided, we can determine the equation of the ellipse.

1.Center at the origin:

Since the center of the ellipse is at the origin (0, 0), the equation of the ellipse will have the form

\(\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1\), where (h, k) represents the center.

2.Symmetric with respect to the x- and y-axes:

Since the ellipse is symmetric with respect to the x- and y-axes, the values of a and b in the equation will be the same. Let's denote this common value as c.

3.Focus at (9, 0):

The focus of the ellipse is given as (9, 0). Since the center is at the origin, the focus located 9 units to the right on the x-axis.

Therefore, a = 9.

4.Major axis is twice as long as minor axis:

The major axis is twice as long as the minor axis. Let's denote the length of the major axis as a(=9). Since the major axis is twice as long, the length of the minor axis is a/2=9/2=4.5

Now, we have all the information needed to determine the equation of the ellipse:

\(\frac{ (x - 0)^2}{a^2} +\frac{(y - 0)^2}{b^2} = 1\)

Simplifying further:

\(\frac{ x ^2}{9^2} +\frac{y^2}{4.5^2} = 1\)

Simplifying:

\(\frac{x ^2}{81} +\frac{y^2}{20.25} = 1\)

Therefore, the equation of the ellipse is:

\(\frac{x ^2}{81} +\frac{y^2}{20.25} = 1\)

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Answer:

  x = 63°

Step-by-step explanation:

~ They are adjacent angles because they have a common (one) vertex.

~ To find the value of x we must make an equation.

Angles on a straight line add up to 180°.

  117 + x = 180

  x = 180 - 117

  x = 63°

Answer:

63

Step-by-step explanation:

63 is the answer