Roger and Rohan are partners of R&R Biscuit Company. Given below is details of items that appeared in their current account for the year ended December 31, 2019:

Answer:

the university should charge $13.50 per ticket to maximize revenue, and 85,000 people will attend at that price.

Step-by-step explanation:

To find the price per ticket that maximizes revenue, we need to find the price that maximizes the product of the number of tickets sold and the revenue per ticket. Revenue per ticket is equal to the ticket price plus the average concession spending per person, or $27 + $3 = $30.

Let x be the number of $3 decreases in ticket price, so the ticket price can be expressed as $27 - $3x. The number of people attending can be expressed as 40,000 + 10,000x.

Therefore, the revenue can be expressed as:

Revenue = (Ticket price) x (Number of tickets sold) x (Concession spending per person)

Revenue = ($27 - $3x) x (40,000 + 10,000x) x $3.00

Expanding this expression, we get:

Revenue = $81,000,000 + $270,000,000x - $30,000,000x^2

To maximize revenue, we need to find the value of x that maximizes this quadratic function. We can do this by finding the vertex of the parabola, which is located at:

x = -b / 2a

where a = -30,000,000, b = 270,000,000, and c = 81,000,000

x = -270,000,000 / 2(-30,000,000)

x = 4.5

Since x represents the number of $3 decreases in ticket price, we can find the optimal ticket price by subtracting 3 times x from the original price of $27:

Optimal ticket price = $27 - $3(4.5) = $13.50

The optimal number of people attending can be found by substituting x = 4.5 into the expression for the number of people attending:

Number of people attending = 40,000 + 10,000(4.5) = 85,000

Answer: [6, 25]

Explanation:

If Gerald takes a 700-mile round trip, then he is credited with 1400 miles flown (700 miles each way). To attain Gold status, Gerald needs to fly between 8400 and 35000 miles per year. Let's call the number of round trips Gerald needs to take "x". Then, we can set up an inequality to represent the number of miles he needs to fly:

8400 ≤ 1400x ≤ 35000

Dividing all three parts of the inequality by 1400, we get:

6 ≤ x ≤ 25

Therefore, Gerald needs to visit his parents at least 6 times a year, but no more than 25 times a year to attain Gold status. In interval notation, we can express this as:

[6, 25]

To solve this problem, we can use the formula for compound interest:

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

where A is the amount of money at the end of the investment period, P is the principal (initial investment), r is the interest rate (expressed as a decimal), n is the number of times the interest is compounded per year, and t is the number of years of the investment period.

For Brandon's account:

P = $9,200

r = 3.25% = 0.0325

n = 4 (compounded quarterly)

t = 19 years

A = 9200(1 + 0.0325/4)^(4*19) = $17,631.51

For Lamonte's account:

P = $9,200

r = 2.875% = 0.02875

n = 12 (compounded monthly)

t = 19 years

A = 9200(1 + 0.02875/12)^(12*19) = $16,031.63

The difference in the amount of money between Brandon's and Lamonte's accounts after 19 years is:

$17,631.51 - $16,031.63 = $1,599.88

Therefore, Brandon would have approximately $1,599 more in his account than Lamonte after 19 years, to the nearest dollar.

Answer:1141

Step-by-step explanation:

The random variable X represents the number of Californians in the sample of 6 who have been to Disneyland. X is a binomial random variable because each person in the sample can be classified as either having been to Disneyland or not, which is a binary outcome.The probability of success (having been to Disneyland) is constant at 0.41 for each person in the sample.  the probability that exactly 3 Californians in the sample of 6 have been to Disneyland is 0.274 or approximately 27.4%. The mean of X is 2.46.  The standard deviation of X is 1.27. The probability that the number of Californians in the sample who have been to Disneyland is within one standard deviation of the mean is 0.767 or approximately 76.7%.

a) The random variable X represents the number of Californians in the sample of 6 who have been to Disneyland.

b) X is a binomial random variable because the following conditions are met:

Each person in the sample can be classified as either having been to Disneyland or not, which is a binary outcome.

The probability of success (having been to Disneyland) is constant at 0.41 for each person in the sample.

The individuals in the sample are independent of each other.

c) To find the probability that exactly 3 people in the sample have been to Disneyland, we can use the binomial probability formula:

P(X = 3) = (6 choose 3) * (0.41)^3 * (1-0.41)^3 = 0.274

Therefore, the probability that exactly 3 Californians in the sample of 6 have been to Disneyland is 0.274 or approximately 27.4%.

d) The mean of X is given by the formula:

mean(X) = n * p = 6 * 0.41 = 2.46

Therefore, the mean of X is 2.46.

e) The standard deviation of X is given by the formula:

stddev(X) = sqrt(n * p * (1-p)) = sqrt(6 * 0.41 * (1-0.41)) = 1.27

Therefore, the standard deviation of X is 1.27.

f) To find the probability that the number of Californians in the sample who have been to Disneyland is within one standard deviation of the mean, we can use the normal approximation to the binomial distribution.

First, we need to find the z-scores corresponding to X = 1 and X = 4:

z1 = (1 - 2.46) / 1.27 = -1.17

z4 = (4 - 2.46) / 1.27 = 1.22

Then, we can use the standard normal distribution table to find the probabilities corresponding to these z-scores:

P(X ≤ 1) = P(Z ≤ -1.17) = 0.121

P(X ≤ 4) = P(Z ≤ 1.22) = 0.888

Finally, we can subtract these probabilities to find the probability that X is within one standard deviation of the mean:

P(1 < X < 4) = P(X ≤ 4) - P(X ≤ 1) = 0.888 - 0.121 = 0.767

Therefore, the probability that the number of Californians in the sample who have been to Disneyland is within one standard deviation of the mean is 0.767 or approximately 76.7%.

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If 4/10 of Lake Okeechobee is covered in a harmful algal bloom in the first month, then 6/10 of the lake is not covered in the bloom.

In the second month, if 90% of the lake is covered in the bloom, then 10% of the lake is not covered in the bloom.

Since the amount of the lake that is covered by the bloom increased from 4/10 to 9/10, this is an increase of:

(9/10) / (4/10) = (9/10) x (10/4) = 2.25 times

Therefore, the algal bloom increased by 2.25 times.

So, option (a), a sample size of 700, should be chosen in order to attain a margin of error of no more than 2.5% with 90% confidence.

The statistical concept of margin of error describes the range in which the real value of a population parameter is assumed to lie based on a sample. The degree of uncertainty or error related to a specific sample size and confidence level is given as a plus or negative percentage or number. The genuine percentage of support in the population as a whole is assessed to be between 47% and 53% with 95% confidence, for instance, if a pollster surveys 1,000 individuals and finds that 50% of them favor a certain political candidate with a margin of error of 3%.

given

We can use the following formula to get the sample size required for a specified margin of error with a particular level of confidence:

[tex]n = (Z^2 * p * q) / E^2[/tex]

When we enter the values, we obtain:

[tex]n = (1.645^2 * 0.73 * 0.27) / 0.025^2[/tex]

n ≈ 643.71

We should round up to the nearest choice, which is 700, because the sample size must be an integer.

So, option (a), a sample size of 700, should be chosen in order to attain a margin of error of no more than 2.5% with 90% confidence.

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The complete question is:-   Based on earlier studies, it is believed that the proportion of California high school students favoring a four-day school week (8:00 am to 4:30 pm) is 73%. You plan on doing a follow up study. Money is a concern in your study, so you cannot afford to be conservative with your approach. A professional polling company offers to perform the survey for you, and show you the following sample size options. The larger the sample size, the more expensive the survey will be. Which size will you choose if you want a margin of error of no more than ± 2.5% with 90% confidence?

a. 700

b. 800

C. 900

d. 1,000

e. 1,100

The function f(x) = (x-2)(x+4) is a quadratic function that can be written in standard form as f(x) = x^2 + 2x - 8.

To graph this function, we can start by finding the vertex, which is located at x = -b/2a = -2/2 = -1, and then plotting a few additional points to determine the shape of the parabola.

To find the y-coordinate of the vertex, we plug x = -1 into the equation and get f(-1) = (-1)^2 + 2(-1) - 8 = -7. So the vertex is at (-1, -7).

We can also find the x-intercepts by setting f(x) = 0 and solving for x:

(x-2)(x+4) = 0

x-2 = 0 or x+4 = 0

x = 2 or x = -4

So the x-intercepts are at (2, 0) and (-4, 0).

To find the y-intercept, we set x = 0 and get f(0) = (0-2)(0+4) = -8. So the y-intercept is at (0, -8).

Now we can plot these points and sketch the parabola:

```

|

|

|

| *

|

|

------+------------> x

|

|

|

|

|

|

```

The domain of the function is all real numbers, since there are no restrictions on the values that x can take.

To find the range of the function, we can look at the vertex and see that the lowest point on the parabola is at y = -7. Since the parabola opens upward, the range extends from -7 to infinity:

Range: [-7, ∞)

This Took me a long long time

The mean number of elective classes offered at different middle schools is given as follows:

8.25 elective classes per school.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.

The data-set in this problem is given as follows:

Hence the sum of the observations is given as follows:

2 x 7 + 3 x 8 + 2 x 9 + 1 x 10 = 66.

The number of observations is given as follows:

2 + 3 + 2 + 1 = 8 schools.

Hence the mean number is given as follows:

66/8 = 8.25 elective classes per school.

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The edges where this rectangle could be added in order to complete the net are edges A, H, E and D.

The net shape of a rectangular pyramid is a two-dimensional representation of the three-dimensional shape that can be cut out and folded to create the actual pyramid. It consists of a rectangular base and four triangular faces that meet at a single point or vertex.

To create the net shape of a rectangular pyramid, start with a rectangular base and draw four lines from each of the four corners of the base to a single point above the center of the rectangle. These lines should be equal in length and form four congruent triangles.

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Answer:

i  think it would be 24 times 6 althought since this is a college question its probably a lot more complex but ill just give it a shot and say its 168.

Step-by-step explanation:

i think its 168 because it woud be 6 more layers of that 24 cube layer so thatd be 6 times 24 which is 144 and then plus the other 24 thats already there it would be 168.

Answer:

144

Step-by-step explanation:

Area= L*W*H

(4*6)*6

24*6=144

Answer:

all of them

Step-by-step explanation:

i hope you find it helpful

Answer: a

Step-by-step explanation:

7(x -5)

12 + x

Using similar triangles, we can set up the following proportion:

(tree height + Donna's height) / (distance from Donna to mirror) = Donna's height / (distance from mirror to top of tree)

Let h be the height of the tree.

Then we have:

(h + 6) / 6.6 = 6 / (37 + h)

Multiplying both sides by (37 + h) and simplifying, we get:

h + 6 = 222 / 6.6 - h / 6.6

Multiplying both sides by 6.6 and simplifying, we get:

6.6h + 39.6 = 222 - h

Solving for h, we get:

7.6h = 182.4

h = 24

Therefore, the height of the tree is approximately 24 feet.

Answer:

this may help!

Step-by-step explanation:

next time you have trouble with a graphing problem, you can just use the desmos graphing calculatator!

Step-by-step explanation:

Plot these set of points:

For x=-2, y=-7. So, plot (-2, -7)

Next, take x=0, so y=-3. Plot (0,-3)

Now make a straight line connecting the points from x=-2 to x=2, and draw a dot on every increment of x by 1. So, the graph should look like so:

Answer:

10:42

Step-by-step explanation:

Consequently, 1.11 milliliters of Kefzol solution must be administered in order to provide 250 milligrams of the medication.

A solution in mathematics is the response to a question or equation. For instance, the answer to the equation x + 2 = 5 would be 3, as it is the value of x that the equation requires. Similar to the last example, the answer to the question, "What is the area of a square with side length 4?" is 16, as the square's area is 16. Depending on the issue or equation, a solution can be represented in a variety of ways.

given

To address this issue, we must figure out how much Kefzol solution must be used to deliver 250 milligrams of the medication.

We can start by converting the dose from milligrams to milliliters using the provided data. We can establish a ratio because we know that the Kefzol solution has a concentration of 225 milligrams per milliliter:

250 mg/x ml equals 225 mg/1 ml.

If we cross-multiply, we obtain:

225 milligrams per 1 milliliter divided by 250

If we simplify, we get:

x = 225 mg/ml and 250 mg

x = 1.11 ml

Consequently, 1.11 milliliters of Kefzol solution must be administered in order to provide 250 milligrams of the medication.

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The equivalent choices are (A) sqrt 3 and (F) sqrt 5. We can simplify the given quotient by rationalizing the denominator.

To do this, we multiply both the numerator and denominator by the conjugate of the denominator, which is sqrt 15. This gives us:

sqrt 75 / sqrt 15 = (sqrt 75 / sqrt 15) * (sqrt 15 / sqrt 15) = sqrt (75 * 15) / 15 = sqrt 1125 / 15

Now we can simplify the numerator by factoring out perfect squares. We have:

sqrt 1125 = sqrt (225 * 5) = sqrt 225 * sqrt 5 = 15 * sqrt 5

Substituting this back into our expression, we get:

sqrt 75 / sqrt 15 = (15 * sqrt 5) / 15 = sqrt 5

Therefore, the equivalent choices are (A) sqrt 3 and (F) sqrt 5. Choice (B) 5 is not equivalent because it does not have a square root, while (C) sqrt 15 / sqrt 3 and (D) sqrt 25 / sqrt 5 are not equivalent because they are not in simplest form. Choice (E) 15/3 is equivalent to 5 but not to the given expression sqrt 75 / sqrt 15.

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The angle of elevation is the angle formed between a horizontal line and a line of sight that is pointing upwards towards an object.

The angle of depression is the angle formed between a horizontal line and a line of sight that is pointing downwards towards an object.

1) Sin 25 = x/15

x = 15 Sin 25

= 6 m

2) Tan 17 = 200/x

x = 200/Tan 17

x = 654 m

3)

Tan 33 = 1500/x

x = 1500/Tan 33

x = 2310 m

4)

x = tan-1(800/1200)

x = 34 degrees

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The measure of the angle marked "C" based on the information will be 42.8°.

It should be noted that to find the angle C, the law of sines formula is used, it is the ratio of the length of the side of the triangle to the sine of the angle thus formed between the other two remaining sides, given by,

sinA / a = sinB / b = sinC / c

where, a, b, and c are the lengths of the triangle and A, B, and C are the angles of the triangle.

Given ∠A = 61°, c = 35, a = 45

∴( sinA)/a = (sinC)/c

(sin 61° )/ 45 = (sin C) / 35

sin c = ((sin 61°) / 45) × 35

sin c = 0.68

c ≈ 42.8°

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Answer:

(7,18)

Step-by-step explanation:

I think that you are asking for a solution to both equations

-2x + y = 4       → x -2  →   4x -2y = -8

-5x + 2y = 1            → (+)   -5x + 2y = 1  

                                          -x         = -7

x = 7

Substitute 7 for x in either of the two equations and solve for y.

-2(7) + y = 4

-14 + y = 4  Add 14 to both sides

y = 18

The solution is (7,18).

Check:

-2x + y = 4

-2(7) + 18 = 4

-14 + 18 = 4

4=4 Checks.

-5x + 2y = 1

-5(7) + 2(18) = 1

-35 + 36 = 1

1 = 1 checks

Helping in the name of Jesus.

Answer:

I assume you mean pi (π) squared, which is π^2. Calculating with π^2 is similar to calculating with any other number, except that you use π^2 instead of a regular number. Here are a few examples:

Example 1: Find the circumference of a circle with radius 5π.

The formula for the circumference of a circle is C = 2πr, where r is the radius. Substituting 5π for r, we get:

C = 2π(5π) = 10π^2

Therefore, the circumference of the circle is 10π^2.

Example 2: Find the area of a circle with diameter 3π.

The formula for the area of a circle is A = πr^2, where r is the radius. Since the diameter is 3 times the radius, we have:

r = (1/2)(3π) = (3/2)π

Substituting this into the formula, we get:

A = π((3/2)π)^2 = (9/4)π^3

Therefore, the area of the circle is (9/4)π^3.

In general, whenever you see π^2 in a formula, you can just substitute it for the regular number. Keep in mind that π is an irrational number (it goes on forever without repeating), so you may need to use an approximation like 3.14 or 22/7 depending on the level of accuracy required in your calculations.

Step-by-step explanation:

explanation included above with examples.

Answer: The best measure of center for skewed data is the median, which is not affected by extreme values. From the given box plot, we can see that the line in the box is at 10, which is also the center of the box. Therefore, the median is the best measure of center, and its value is 10. So the correct answer is:

The median is the best measure of center and equals 10.

Step-by-step explanation:

Answer:

The answer is option D.

The median is the best measure of center and equals 10.

Step-by-step explanation:

Your welcome :) :)

(a) for every integer z, we can find integers x and y such that f(x, y) = z, and thus f(x, y) is onto.

(b) f(x, y) = |x| - |y| is not onto.

(a) To show that the function f(x, y) = 2x - 4y is onto, we need to show that for every integer z, there exists integers x and y such that f(x, y) = z.

Let z be an arbitrary integer. Then we need to find integers x and y such that 2x - 4y = z. We can rewrite this equation as x = (z + 4y)/2.

Now, if z is even, then we can choose any even number for y and solve for x using the above equation. Conversely, if z is odd, we can choose any odd number for y and solve for x.

Therefore, for every integer z, we can find integers x and y such that f(x, y) = z, and thus f(x, y) is onto.

(b) To show that the function f(x, y) = |x| - |y| is not onto, we need to find an integer z such that there does not exist integers x and y such that f(x, y) = z.

Let z = -1. Then we need to find integers x and y such that |x| - |y| = -1. However, the absolute value of any integer is non-negative, so |x| and |y| are both non-negative.

Therefore, |x| - |y| is non-negative, and it is impossible for f(x, y) to equal -1.

Hence, there does not exist integers x and y such that f(x, y) = -1, and thus f(x, y) is not onto.

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Answer: Dallas

Step-by-step explanation:

To get the amount after taxes, you have to multiply your earnings by the tax rate and subtract that amount.

Boston:

70,000 * 0.28 = 19,600

70,000 - 19,600 = $50,400

Dallas:

63,000 * 0.19 = 11,970

63,000 - 11,970 = $51,030

Since Dallas gives you more money, it would be the correct option.

The statement " |k - 7| < -6 has no solution" is not true.

What is inequality?

An inequality is a mathematical statement that compares two values, expressions, or quantities using a symbol indicating their relationship. The most common inequality symbols are:

"<" (less than): used to indicate that the value on the left is smaller than the value on the right.

">" (greater than): used to indicate that the value on the left is greater than the value on the right.

"<=" (less than or equal to): used to indicate that the value on the left is either smaller than or equal to the value on the right.

">=" (greater than or equal to): used to indicate that the value on the left is either greater than or equal to the value on the right.

"≠" (not equal to): used to indicate that the two values are not equal.

Inequalities are often used to describe relationships between variables or to define a range of possible values for a variable. Solving an inequality involves finding all the values of the variable that make the inequality true. The solution set of an inequality may be an interval, a set of discrete values, or a combination of both.

Inequalities are used in many areas of mathematics, including algebra, geometry, and calculus. They are also used in many real-world applications, such as economics, physics, and engineering, to describe constraints, limits, and relationships between quantities.

Here,

The absolute value of any expression is always non-negative, which means that |k - 7| is always greater than or equal to 0. Therefore, it is impossible for |k - 7| to be less than -6.

In other words, the inequality |k - 7| < -6 has no solutions is not true.

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Answer:

The numbers are 30, 60, and 10

Step-by-step explanation:

Let's start by assigning variables to the three numbers.

We can call them x, y, and z.

From the problem, we know that:x + y + z = 100

We also know that the first number is a multiple of 15, so we can write:

x = 15a, where a is some integer.

Furthermore, we know that the second number (y) is ten times the third number (z), so we can write:

y = 10z

Now we can substitute equations (2) and (3) into equation (1) to get an equation in terms of z:

15a + 10z + z = 100

Simplifying, we get:

15a + 11z = 100

To find a possible solution for this equation, we can try different values of a and see if we get a whole number solution for z.

Let's start with a = 1. Substituting a = 1, we get:

15(1) + 11z = 100

z = (100 - 15)/11

z = 8.64

Since z is not a whole number, we need to try a different value of a.Let's try a = 2.

Substituting a = 2, we get:15(2) + 11z = 100

z = (100 - 30)/11

z = 6

Now we have a whole number solution for z. Substituting z = 6 into equations (2) and (3), we get:x = 15a = 15(2) = 30

y = 10z = 10(6) = 60So the three numbers are 30, 60, and 10.

Answer:

x ≈ 30,37

y ≈ 29,00

Step-by-step explanation:

Use trigonometry:

[tex] \sin(38°) = \frac{9}{x} [/tex]

Now, use the property of the proportion to find x:

[tex]x = \frac{9}{ \sin(38°) } ≈30.37[/tex]

Do the same thing to find y:

[tex] \tan(38°) = \frac{9}{y} [/tex]

[tex]y = \frac{9}{ \tan(38°) } ≈29.00[/tex]

Answer:4.592million

Step-by-step explanation:

328.2million----------------100%

x-----------------1.4%

x=328million*1.4/100=4.592million

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{1.4\% of 328,200,000}}{\left( \cfrac{1.4}{100} \right)328,200,000}\implies \text{\LARGE 4,594,800}[/tex]

Hence the sum of rational expressions is [tex]\frac{9x^2-5x+2}{7x^2-14x}[/tex] option  D is correct.

You must be familiar with rational numbers, which are written as p/q. On the other hand, rational expressions are the ratio of two polynomials.

Polynomial expressions must be set equal to zero in order to find the root or zero. But, once the expression has been condensed to its simplest form, we must only set the numerator equal to zero in order to obtain the zeros of rational functions or expressions.

The lowest terms are those in which neither the numerator nor the denominator has any common factors. It is not in the lowest form, like in the case of a fraction, like 2/8. Taking 2 into consideration as a common element will further minimize it. The lowest form is therefore 1/4.

The rational expression is

[tex]\frac{2x-1}{7x}+\frac{x}{x-2}[/tex]

to add expression first take LCM

and cross multiply

[tex]=\frac{(2x-1)(x-2)+7x^2}{7x(x-2)}\\\\=\frac{2x^2-4x-x+2+7x^2}{7x^2-14x}\\\\=\frac{9x^2-5x+2}{7x^2-14x}[/tex]

Hence the sum of a rational expression is [tex]\frac{9x^2-5x+2}{7x^2-14x}[/tex] option  D is correct.

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