9. a travel agency will plan tours for groups of 25 or larger. if the group contains exactly 25 people, the price is $300 per person. however, the price per person is reduced by $10 for each additional person above 25. you want to find what size group will produce the largest revenue for the agency. when x is the number of people added to the 25, the total revenue will be r(x)

we found that Julian is estimated  70.0 kilometers from his starting position.

The total  distance traveled in the east-west direction is :

22 km - 77 km = -55 km.

The  negative value can be explained that  Julian has traveled 55 km in the  direction of west which is relative to his starting point.

Julian's total  distance traveled in the north-south direction is 44 km.

We then apply  the Pythagorean theorem to calculate  the distance between Julian's starting point and his final position:

distance = √((55 km)² + (44 km)²)

distance =- 70.0 km

In conclusion, Julian can be said to be  70.0 kilometers from his starting position.

Learn  more about Pythagorean theorem  at:

https://brainly.com/question/654982

#SPJ1

#complete question:

Julian jogs 22 kilometers east 44 kilometers north, and then 77 kilometers west.  How far is Julian from his starting position, to the nearest tenth of a kilometer?

Answer:

its 6.4

Step-by-step explanation:

khan lol

The replacement time separating the bottom 30% to the top 70% of CD players is 9.27 to 10.73 years.

A normal distribution refers to a continuous probability distribution in statistics that is symmetric and bell-shaped. It is a statistical distribution that is ideal for data that are continuous and normally distributed in a population.

The central limit theorem states that any large number of independent random variables, each with its own distribution, have their sum distribution approach normality as the number of variables grows large enough.

The formula for z-score is given as:

z = (x - μ) / σ

where x is the random variable, μ is the mean, σ is the standard deviation, and z is the z-score.

Substituting the given values of the mean, standard deviation, and percentiles in the above formula, we get:

For the bottom 30%, the percentile rank is 0.3.

Hence, the z-score is given as:

z = invNorm(0.3) = -0.5244

Substituting the z-score formula we get:

-0.5244 = (x - 10) / √2

Rearranging the above formula we get:

x = -0.5244 * √2 + 10 = 9.27 years

For the top 70%, the percentile rank is 0.7.

Hence, the z-score is given as:

z = invNorm(0.7) = 0.5244

Substituting the z-score formula we get:

0.5244 = (x - 10) / √2

Rearranging the above formula we get:

x = 0.5244 * √2 + 10 = 10.73 years

Therefore, the replacement time separating the bottom 30% to the top 70% of CD players is 9.27 to 10.73 years.

Learn more about normal distribution at

https://brainly.com/question/3930800

#SPJ11

Answer:

Question 2: 6x-21

Question 1: -9x+3

Step-by-step explanation:

To determine the value of dilation (D) for the transformation of square EFGH, compare the corresponding side lengths of the original square and the transformed square, and divide the latter by the former

The value of dilation is determined by the scale factor, which represents how much the figure is enlarged or reduced. To find the scale factor, we can compare the corresponding side lengths of the original square and the transformed square.

Measure the side length of the original square EFGH.
Measure the corresponding side length of the transformed square.
Divide the corresponding side length of the transformed square by the side length of the original square.
The result will be the value of dilation (D).

For example, if the side length of the original square is 4 units and the corresponding side length of the transformed square is 8 units, then the scale factor and value of dilation (D) would be 8/4 = 2.

To find the value of dilation (D) for the transformation of square EFGH, we need more information.

To know more about dilation, visit:

brainly.com/question/29811168

#SPJ11

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

Learn more about circle here

brainly.com/question/11878555

#SPJ4

Answer:

5.4

Step-by-step explanation:

To find the distance between two points, \((x_1,y_1)\) and \((x_2,y_2)\), plug them into the following equation:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(-3-(-8))^2+(-4-(-6))^2}\)

Two negatives make a positive

\(d=\sqrt{(-3+8)^2+(-4+6)^2}\\d=\sqrt{(5)^2+(2)^2}\\d=\sqrt{25+4}\\d=\sqrt{29}\\d=5.4\)

Therefore, the distance between the two points rounded to the nearest tenth is 5.4.

I hope this helps!

The number of bombs that should be dropped to give a 99% chance or better of completely destroying the target can be 11, 12, and 13.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

The probability of success in one strike is p = 1/2

The probability of failure will be:

q = 1/2 ​

Now, the probability of a successes P( x = a ) = ₙCᵃ ​× ( 1/2​ )ᵃ × ( 1/2 )ⁿ ⁻ ᵃ

P( x = a ) = ₙCᵃ ​ ( 1/2 )ⁿ

According to the given condition,

P( x ≥ 2 ) ≥ 0.99

= 1 − P( x < 2 ) ≥ 0.99

= 1 − P( x = 0 ) − P( x = 1 ) ≥ 0.99

= 1 − 0.99 ≥ ( 1 + n)/2ⁿ ​

= 2ⁿ ≥ 100 + 100n

When n = 10, 2ⁿ < 100 + 100n

For n = 11, 12, 13, 2ⁿ > 100 + 100n

Learn more about probability here:

brainly.com/question/13604758

#SPJ4

Answer:

no

Step-by-step explanation:

well

it's because in function one element of first is only associated with one element of second set

but in relation one element of first set may be associated with many elements of set second

The length of side a is 10/3, and the length of the hypotenuse c is 2√(34)/3.

To find the length of side a, we can use the tangent of angle A. The tangent of an angle is equal to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. In this case, tan(A) = 5/12, which means that the length of side a is 5/12 times the length of the adjacent side. Since we know that side b is 2, we can calculate a = \((5/12) * 2 = 10/3\).

To find the length of the hypotenuse c, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, we know that side b is 2 and side a is 10/3. Let's denote the length of c as x. Applying the Pythagorean theorem, we have \((10/3)^2 + 2^2 = x^2\). Simplifying this equation, we get \(100/9 + 4 = x^2\). Combining the terms, we have 100/9 + 36/9 = \(x^2\), which gives us \(136/9 = x^2\). Taking the square root of both sides, we have \(x = \sqrt{(136/9)} = \sqrt{(136)/} \sqrt{(9)} = \sqrt{(136)/3} = 2\sqrt{(34)/3}\).

Therefore, the lengths of the missing sides are a = 10/3 and c = \(2 \sqrt{(34)/3}\).

Learn more about Length

brainly.com/question/8552546

#SPJ11

Answer:

b

Step-by-step explanation:

6

The weekly CPU time used by the firm is described by a probability density function, and we can use this function to find the expected value and variance of the CPU time used. Furthermore, we can use these values to find the expected value and variance of the weekly cost for CPU time.

Expected Value and Variance are statistical measures that help us understand the central tendency and variability of a random variable, respectively. The expected value of a random variable is its average value, while the variance is a measure of how spread out the values are around the mean.

A) To find the expected value and variance of the CPU time used, we can use the following formulas:

Expected Value (E(Y)) = ∫ y*f(y) dy, where f(y) is the probability density function

Variance (V(Y)) = E(Y²) - (E(Y))²

For the given probability density function,

f(y) = {(3/64)y²* (y-4) 0 ≤ y ≤ 4},

we can substitute this into the above formulas and integrate from 0 to 4 to get:

E(Y) = ∫ yf(y) dy = ∫ y(3/64)y² * (y-4) dy = 3/4

V(Y) = E(Y²) - (E(Y))² = ∫ y²*f(y) dy - (3/4)² = 3/16

Therefore, the expected value of CPU time used per week is 0.75 hours, and the variance is 0.1875 hours².

B) To find the expected value and variance of the weekly cost for CPU time, we can use the fact that the CPU time costs the firm $200 per hour. Thus, the cost of CPU time per week can be represented as \(Y_{c}\) = 200*Y, where Y is the CPU time used per week. Therefore,

E(\(Y_{c}\)) = E(200Y) = 200E(Y) = $150

V(\(Y_{c}\)) = V(200*Y) = (200²)*V(Y) = $7500

Hence, the expected weekly cost for CPU time is $150, and the variance is $7500.

C) To determine whether the weekly cost would exceed $600 very often, we can use Chebyshev's inequality, which tells us that for any random variable, the probability that its value deviates from the expected value by more than k standard deviations is at most 1/k². In other words, the probability of an extreme event decreases rapidly as we move away from the mean.

Using this inequality, we can say that the probability of the weekly cost exceeding $600 by more than k standard deviations is at most 1/k². For example, if we want the probability to be at most 0.01 (1%), we can choose k = 10. Thus, the probability that the weekly cost exceeds $600 by more than 10 standard deviations is at most 1/10² = 0.01, or 1%.

Therefore, we can conclude that it is unlikely for the weekly cost to exceed $600 very often, given the probability density function and the expected value and variance of the weekly cost that we have calculated.

To know more about Expected Value and variance here

https://brainly.com/question/17088771

#SPJ4

Complete Question

Weekly CPU time used by an accounting firm has a probability density function (measured in hours) given by: f(y)={(3/64)y^2 * (y-4) 0 <= y <= 4={0 elsewhere

A) Find the E(Y) and V(Y)

B) The CPU time costs the firm $200 per hour. Find E(Y) and V(Y) of the weekly cost for CPU time.

C) Would you expect the weekly cost to exceed $600 very often? Why?

Answer: i believe its  the third answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The water decreases 3 cm per day.

Answer:

A

Step-by-step explanation:

The points seem to be clustered around a curve.

Answer:

Step-by-step explanation:

Step one:

let cherry be x

and lemon be y

the systems of the equation for the solution is given as

4x+y=30-----------1

8x+6y=100------2

Step two:

solve the equation simultaneously by substitution we have

4x+y=30

y=30-4x

put y=30-4x in equation 2

8x+6(30-4x)=100

8x+180-24x=100

8x-24x=100-180

-16x=-80

x=80/16

x=5

put x=4 in y=30-4x

y=30-4(5)

y=30-20

y=10

An equation is formed of two equal expressions. The equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

As it can be seen that the centre of the ellipse is at (6,2). Also, the major radius is equal to 7 units, while the minor radius is equal to 3 units. The general equation of the ellipse is given as,

(x - h)²/a² + (y - k)²/b² = 1

(x - 6)²/7² + (y - 2)²/3² = 1

[(x-6)²/49] + [(x-2)²/9] = 1.

Hence, the equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1 .

Learn more about Equation visit:

brainly.com/question/2263981

#SPJ1

Answer:

the answer is A on edge :)

Step-by-step explanation:

good luck <3

The random real number between 1.0 and 10.0 can be generated using the formula: 1.0 + (RAND() * 9.0).

To generate a random real number within a specified range, we can use the RAND() function. The RAND() function generates a random decimal number between 0 and 1.0. By multiplying this random number by the range of values we desire and adding the minimum value, we can obtain a random real number within the desired range.

In this case, we want a random number between 1.0 and 10.0. To achieve this, we multiply the random number generated by RAND() by the range, which is 9.0 (10.0 - 1.0). This scales the random number to the desired range. Then, by adding 1.0 (the minimum value) to the scaled random number, we obtain the final random real number within the range of 1.0 and 10.0.

To summarize, the formula for generating a random real number between 1.0 and 10.0 is: 1.0 + (RAND() * 9.0).

To know more about generating random numbers using the RAND() function, refer here:

https://brainly.com/question/31035525#

#SPJ11

Answer:

Step-by-step explanation:

A person that has 9 friends

Since 7+2=9

Answer: \(x = 9\)

Step-by-step explanation:

\(4x=43-7 = 36\\x =36/4 = 9\\x = 9\)

The sum of the measures of the interior angles of a convex 16-gon is 2520 degrees.

Therefore the answer is 2520 degrees.

A convex polygon is a polygon in which all interior angles are less than or equal to 180 degrees and all line segments connecting any two points within the polygon lie completely within the polygon.

The sum of the measures of the interior angles of a convex polygon with n sides is given by the formula:

(n-2) * 180 degrees.

For a convex 16-gon, the number of sides is n=16, so substituting into the formula we get:

(16-2) * 180 = 14 * 180

= 2520 degrees.

Therefore, the sum of the measures of the interior angles of a convex 16-gon is 2520 degrees.

To know more on convex polygon

https://brainly.com/question/29210694

#SPJ4

Answer:

What do you actually want, is it the product (gf)(0)? That would be, simply, f(0)g(0) which you should be able to do.

Answer:

(x - 8)² = 38

Step-by-step explanation:

Given

x² - 16x + 26 = 0 ( subtract 26 from both sides )

x² - 16x = - 26

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 8)x + 64 = - 26 + 64

(x - 8)² = 38 ← as required

Answer:

1.75 gallons of paint

Step-by-step explanation:

A student in the construction trades program has 4 1/2 gallons of paint

If the student uses 2.75 gallons in one room then the gallons of paint that are left can be calculated as follows

= 4 1/2 - 2.75

= 9/2 - 2.75

= 4.5 - 2.75

= 1.75

Hence 1.75 gallons of paint are left

Answer:

She drinks 4.8 ounces of water per hour

Step-by-step explanation:

We know

Yasmin drank 3/4 of an 8-ounce glass of water in 1 1/4 hours

3/4 of 8 ounce = 6 ounces

1 1/4 = 5/4 = 1.25 hours

How much can she drink per hour?

6 divided by 1.25 = 4.8 ounces of water per hour

So, she drinks 4.8 ounces of water per hour.

Answer:

Step-by-step explanation:

\(\huge\fbox{Answer ☘}\)

Step-by-step explanation:

Humans

Trolls

The scale factor to work out the value of x :

The value of x would be :

hope helpful~

Answer:

y = 1/5x + 32/5

Step-by-step explanation:

The differential equation describing the relationship between the balance B of Rachel's car loan and time t is given by dB/dt = 0.045B - 375.

The equation represents the change in the balance of Rachel's car loan over time. The term dB/dt represents the rate of change of the balance with respect to time. The right-hand side of the equation consists of two terms. The first term, 0.045B, represents the increase in the balance by 4.5% per month. This term accounts for the growth of the loan balance due to accrued interest.

The second term, -375, represents the decrease in the balance by $375.00 each month, which could be the monthly payment towards the loan principal. By subtracting this payment from the growth, the equation captures the net change in the balance. The equation allows us to model and analyze the behavior of the loan balance as time progresses.

LEARN MORE ABOUT differential equation here: brainly.com/question/32538700

#SPJ11