if a rep works eight hours per day and the average length of a call is 30 minutes and the average travel time is 30 minutes and the rep works 250 days per year, then what is the total annual number of calls the rep can make?

The number of ways to form a 6-member fund-raising committee with at most 2 accounting majors and accounting and finance majors is determined by considering three cases and calculating the possibilities in each case.

To form the fund-raising committee with at most 2 accounting majors, we consider the following cases:

Case 1: No accounting majors on the committee

The committee will consist of 6 finance majors, which can be chosen in (8 choose 6) ways.

Case 2: Exactly 1 accounting major on the committee

The committee will have 1 accounting major and 5 finance majors. The accounting major can be chosen in (10 choose 1) ways, and the finance majors can be chosen in (8 choose 5) ways.

Case 3: Exactly 2 accounting majors on the committee

The committee will have 2 accounting majors and 4 finance majors. The accounting majors can be chosen in (10 choose 2) ways, and the finance majors can be chosen in (8 choose 4) ways.

To find the total number of ways, we add up the possibilities from each case:

Total number of ways = (8 choose 6) + (10 choose 1) * (8 choose 5) + (10 choose 2) * (8 choose 4).

By evaluating this expression, we can determine the number of ways the fund-raising committee can be formed.

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Answer:

X-6

Step-by-step explanation:

it is the missing value in this equation

Step-by-step explanation:

answer 2. should be right

Answer:

0.68116

Step-by-step explanation

terminating

Answer:

-4x^3+12x^2-1

Step-by-step explanation:

Although the examples referenced are note given, the subject or principle of Quadratic Equations and the Quadratic formula are universal principles and hold true regardless of what examples are used.

Thus, two tings that one can learn about solving quadratic equations by using the Quadratic formula are:

In mathematics, almost every student encounters the quadratic formula, which is a popular method for determining the roots of a quadratic problem. In practice, the quadratic formula may be used to calculate the size of a place, the speed of a moving item, the value of profit earned on a product, and other things.

We've shown that a quadratic equation is a degree 2 equation. A quadratic has the standard form y = ax² + bx + c, where a, b, and c are integers and a cannot be zero. All quadratic equations graph into some form of curve. All quadratics have two solutions, although not all of them are real.

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arc BD is 25°

We would apply the secant-secant theorem:

angle A = ∠A =25°

arc BD =?

arc CE = 100°

Answer:

A= 201.06

Step-by-step explanation:

A=πr^2

d=2r

Input the information into those formulas. Im honestly not sure if thats the right answer but its better than nothing.

Answer:

Step-by-step explanation:

Diameter = 28 cm

therefore, radius = 28 / 2 = 14 cm

Circumference = 2 π r

= 2 × 22 / 7 × 14

= 88 cm

Hope this helps

plz mark as brainliest!!!!!

Answer:

88cm

Step-by-step explanation:

The formula is Diameter x pi (3.14)

There are 13 elements of the sample space that will have a green ball.

The various ways in which objects from a set may be selected, generally without replacement, to form subsets.

Since, when a green ball is drawn, three coins are tossed. So, sample points are  OHHH, OHHT, OHTH, and OHTT. OTHH, 0THT, OTTH, OTTT

So, clearly, 9 sample points will have an orange ball.

When a blue ball is drawn, two coins are tossed. So, sample points are BHH, BHT, BTH, and BTT.

So, clearly, 4 sample points will be when a blue ball is drawn.

Total samples points=4+9=13

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The partial fraction expansion of the given bilateral z-transform expression is to be found. It can be expressed as ???????? (z) = K1 z / (z - ???? ) + K2 z / (z - ???? ). The steps to determine the values of K1 and K2 will be explained.

To find the partial fraction expansion of the given expression, we first factorize the denominator as (z - ???? )(z - ???? ), where ???? and ???? are the roots of the denominator. In this case, the roots are 1/2 and -1/2.

Next, we express the expression as a sum of two fractions, with each fraction having a distinct root in the denominator. The partial fraction expansion can be written as:

???????? (z) = K1 z / (z - 1/2) + K2 z / (z + 1/2)

To determine the values of K1 and K2, we can multiply both sides of the equation by the common denominator (z - 1/2)(z + 1/2) and equate the numerators. This gives us:

z 2 (z 2 - 1/4) = K1 z(z + 1/2) + K2 z(z - 1/2)

Expanding and collecting like terms, we get:

z 2 (z 2 - 1/4) = (K1 + K2)z 2 + (K1/2 - K2/2)z

By comparing the coefficients of like powers of z on both sides, we can determine the values of K1 and K2. Equating the coefficients, we have:

K1 + K2 = 1

K1/2 - K2/2 = -1/4

Solving these equations simultaneously, we can find the values of K1 and K2, which will complete the partial fraction expansion.

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Answer:

9

Step-by-step explanation:

Answer:

X intercept (-40,0)

Y intercept: (0, 15)

Step-by-step explanation:

Where the line meets on the x axis, the coordinate is -40, 0 which is the x intercept and as it is for the y intercept, it meets at 0,15

The pentagon and the hexagon has the same perimeter of 30 inches.

A pentagon has five sides. Since each side is 6 inches each, the perimeter will be: = 6 inches × 5 = 30 inches

A hexagon has six sides. Since each side is 5 inches each, the perimeter will be: = 5 inches × 6 = 30 inches

Based on the above calculation, the pentagon and the hexagon has the same perimeter of 30 inches.

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The normal distribution table appears to be slightly biased to the right. Since the values are randomly distributed, a normal distribution cannot be assumed.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster near the middle of the range and the remaining ones decrease symmetrically toward one of the extremes.

Maximum Value=121.9

Number of classes=5 (say)

Range=121.1-121.9=0.8

Minimum Value= 121.1

width of each class= 0.8 / 5 = 0.16 = 0.2 (approx)

Therefore, we must create classes so that the first class has the minimum value and the last class contains the highest value. The class interval will therefore be 121.1 - 121.3, 121.3 - 121.5, and so on with a class width of 0.2 volt.

Voltage (volts) Frequency

121.1 - 121.3             2

121.3 - 121.5                 5

121.5 - 121.7             10

121.7 - 121.9              6

121.9 - 122.1                  2

The normal distribution table appears to be slightly biased to the right. Since the values are randomly distributed, a normal distribution cannot be assumed.

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Answer:

c = 2 r π = 2 * 9.0048 * 3.14159 = 56.55 units

Answer:

16 1/50

Step-by-step explanation:

First, turn the fractions into improper fractions.

8 9/10 can be 89/10 and 1 4/5 can be 9/5.

Then you multiply them together:

89/10 * 9/5= 801/50

Now, since 801/50 is 16.02 turn that into a mixed fraction. It becomes 16 1/50.

That's your answer.

The overall chi-square test statistic is found by summing all the cell chi-square values.

To calculate the chi-square test statistic, we first conduct a chi-square test of independence or goodness of fit. This test compares the observed frequencies in each cell to the expected frequencies under the null hypothesis.

For each cell, we calculate the cell chi-square value by taking the squared difference between the observed and expected frequencies, dividing it by the expected frequency, and summing these values across all cells.

Finally, we add up all the cell chi-square values to obtain the overall chi-square test statistic. This statistic follows a chi-square distribution with degrees of freedom equal to the number of categories minus 1 (df = (r - 1)(c - 1), where r is the number of rows and c is the number of columns).

The overall chi-square test statistic allows us to assess whether there is a significant association between the variables or whether the observed frequencies differ significantly from the expected frequencies. If the test statistic is large enough, we can reject the null hypothesis and conclude that there is evidence of an association or a difference in frequencies.

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The simplified exponential notation of the given expression is x⁸.

Given that, simplified exponential notation, x³·x⁵,

x³·x⁵ we need to simplify it,

We know that,

mᵃ × mᵇ = mᵃ⁺ᵇ

x³·x⁵ = x³⁺⁵

x³·x⁵ = x⁸

Hence, the simplified exponential notation of the given expression is x⁸.

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The height of the top of the pole is 14 meters.

We have,

To solve this problem, we can use trigonometry, specifically the tangent function.

Given that XÊY = 50° and the distance between Z and Y is 12 m, we need to find the height of the top of the pole above ground level.

Let's denote the height of the top of the pole above ground level as h.

Using the tangent function, we can set up the following equation:

tan(XÊY) = h / 12

Plugging in the values, we get:

tan(50°) = h / 12

To find the value of tan(50°), we can use a trigonometric table or calculator.

In this case, using a calculator:

tan(50°) ≈ 1.1918

Substituting this value back into the equation:

1.1918 = h / 12

To solve for h, we can multiply both sides of the equation by 12:

12 * 1.1918 = h

h ≈ 14.302

Rounding to the nearest meter, the height of the top of the pole above ground level is approximately 14 meters.

Thus,

The height of the top of the pole is 14 meters.

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The percentage decrease of the function y = -6 is 0%.

The function y = -6 represents a horizontal line with a constant value of -6. Since there is no change in the y-value as x varies, the percentage increase or decrease is 0%.

To calculate the percentage increase or decrease, we use the formula:

Percentage Change = (New Value - Old Value) / Old Value * 100

In this case, the old value and the new value are both -6. Plugging in the values into the formula, we get:

Percentage Change = (-6 - (-6)) / (-6) * 100

= 0 / (-6) * 100

= 0 * 100

= 0%

Therefore, the percentage increase or decrease of the function y = -6 is 0%. This indicates that the function remains constant and does not experience any change in its value as x varies.

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Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

The probability of choosing a month with 31 days is the number of months with 31 days divided by the total number of months.

What is the probability?

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

There are 12 months in a year, and 7 of them have 31 days. Therefore, the probability that a randomly chosen month has 31 days is:

P(month has 31 days) = 7/12

This is because each month is equally likely to be chosen, and there are 7 months with 31 days out of a total of 12 months.

Hence, the probability of choosing a month with 31 days is the number of months with 31 days divided by the total number of months.

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Answer: Juan received 6 action figures

Step-by-step explanation:

This looks super complicated, but it can actually be solved with the application of a couple of area equations.

Let's establish one fact before we start this question that may have been the reason why this was so confusing for you. No matter what kind of triangle, the area will always be \(\frac{1}{2}\) times the length of the base times height.

Alright, with that established, let's start trying to solve for the area.

In this question, we seem to have a triangle with a circle shape taken out of it. We are told to find the area of the shaded area.

The overall equation would be:

\(Area_{triangle}\) - \(Area_{circle}\)

This makes sense, right? If we find the area of the triangle and subtract the area of the circle within it, it should give us the total shaded area.

Now, let's begin solving for said shaded area:

\(Area_{triangle}\) - \(Area_{circle}\)

(\(\frac{1}{2}\) * base * height) - (π*\(r^{2}\))

The given base of the triangle is 40 km, the height 27 km, and the circle's diameter is 12. Therefore:

(\(\frac{1}{2}\) * 40 * 27) - (π * \((\frac{12}{2})^{2}\))

(540) - (π * \(6^{2}\))

540 - 36π

Use 3.14 as the value for pi:

540 - 36(3.14)

426.96

Round to the nearest tenth:

427.0

Shaded area = 427 (\(km^{2}\))

If you have any questions on how I got to the answer, don't be afraid to ask!

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The function f is increasing for x > 3/2.

To determine the values of x for which the function f is increasing, we need to find the critical points of f, which are the values of x where the function changes from increasing to decreasing or vice versa.

The first step is to find the derivative of f:

f'(x) = (2x - 3)e-x

Next, we need to find the critical points by setting f'(x) = 0 and solving for x:

(2x - 3)e-x = 0

2x - 3 = 0

x = 3/2

This is the only critical point of f. To determine the behavior of f near this critical point, we need to find the second derivative of f:

f''(x) = (2 - 3e-x)

For x < 3/2, f''(x) < 0, which means f is concave down and f'(x) is decreasing. This means that f is decreasing for x < 3/2.

For x > 3/2, f''(x) > 0, which means f is concave up and f'(x) is increasing. This means that f is increasing for x > 3/2.

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Please refer to the attachment. Hope it helps!!

The range of the given graph of the function is y ≤ 0. The correct option is A.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

The range of the function will be the y value of the function. here in the graph, the y value is varying from 0 to negative infinite value which means that the y value will ranges from 0 and less than zero.

y ≤ 0

The correct option would be A.

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Answer:

the slope of parallel lines are - the same

i.e,m1=m2

the slope of perpendicular lines are- negative reciprocals

i.e,m1*m2= -1

where, m1 and m2 slopes of two lines

A. The slope of parallel lines are: the same/equal

B. The slope of perpendicular lines are negative reciprocals.

If two lines are parallel to each other, they will have the same slope. If the slope of one is 4, the slope of the other line that is parallel to it would also be 4.

On the other hand, the slope of perpendicular lines are negative reciprocal of each other. That is, if the slope of one is, -1, the slope of the other line would be 1.

Therefore, parallel lines have the same slope, while perpendicular lines have slope values that are negative reciprocal to each other.

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As a result, it will take roughly 10.24 years for the account to reach $20,000 in value.

As a quarter of 100, a number can be expressed as a percentage. It is frequently used to describe distinctions or express changes in numbers. The symbol for percentages is %, and they are frequently utilized to describe ratios, rates, and certain other numerical connections. An 80 percent score on a test, for instance, indicates that the student correctly answered 80 of the 100 questions. Similar to this, if a retailer were offering a 20% discount on a $100 item, the sale price would be $80.

given

With P = 10000, r = 0.08 (8% stated as a decimal), n = 12 (compound monthly), and t to be found when A = 20000, the situation is as follows.

When these values are added to the formula, we obtain:

\(20000 = 10000(1 + 0.08/12)^(12t) (12t)\)

By multiplying both sides by 1000, we obtain:

\(2 = (1 + 0.08/12)^(12t) (12t)\)

When we take the natural logarithm of both sides, we obtain:

ln(2) = 12t ln(1 + 0.08/12)

When we multiply both sides by 12 ln(1 + 0.08/12), we obtain:

t = ln(2) / (12 ln(1 + 0.08/12))

Calculating the answer, we discover:

10.24 years is t.

As a result, it will take roughly 10.24 years for the account to reach $20,000 in value.

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Answer:

12

Step-by-step explanation:

35-5=30

After that you dived 30 by 2.5 which gets you 12