In 88 minutes, he uses 132 balloons to make 22 identical balloon sculptures. How many minutes does it take to make one balloon sculpture? How many balloons are used in one sculpture?

Answer:

4

Step-by-step explanation:

hope this helps lol

To find the joint density function, we need to calculate the Jacobian determinant of the transformation from (x, y) to (u, v)

The joint distribution of (u, v), where u and v are defined as

\(u = \frac{x}{{\sqrt{x^2 + y^2}}}\)  and \(v = \frac{y}{{\sqrt{x^2 + y^2}}}\), is given by:

\(f_{U,V}(u,v) = \frac{1}{{2\pi}} \cdot e^{-\frac{1}{2}(u^2 + v^2)}\)

To find the joint density function, we need to calculate the Jacobian determinant of the transformation from (x, y) to (u, v):

\(J = \frac{{du}}{{dx}} \frac{{du}}{{dy}}\)

\(\frac{{dv}}{{dx}} \frac{{dv}}{{dy}}\)

Substituting u and v in terms of x and y, we can evaluate the partial derivatives:

\(\frac{{du}}{{dx}} &= \frac{{y}}{{(x^2 + y^2)^{3/2}}} \\\frac{{du}}{{dy}} &= -\frac{{x}}{{(x^2 + y^2)^{3/2}}} \\\frac{{dv}}{{dx}} &= -\frac{{x}}{{(x^2 + y^2)^{3/2}}} \\\frac{{dv}}{{dy}} &= \frac{{y}}{{(x^2 + y^2)^{3/2}}}\)

Therefore, the Jacobian determinant is:

\(J &= \frac{y}{{(x^2 + y^2)^{\frac{3}{2}}}} - \frac{x}{{(x^2 + y^2)^{\frac{3}{2}}}} \\&= -\frac{x}{{(x^2 + y^2)^{\frac{3}{2}}}} + \frac{y}{{(x^2 + y^2)^{\frac{3}{2}}}} \\J &= \frac{1}{{(x^2 + y^2)^{\frac{1}{2}}}}\)

Now, we can find the joint density function of (u, v) as follows:

\(f_{U,V}(u,v) &= f_{X,Y}(x,y) \cdot \left|\frac{{dx,dy}}{{du,dv}}\right| \\&= f_{X,Y}(x,y) / J \\&= f_{X,Y}(x,y) \cdot (x^2 + y^2)^{\frac{1}{2}}\)

Substituting the standard normal density function

\(f_{X,Y}(x,y) &= \frac{1}{2\pi} \cdot e^{-\frac{1}{2}(x^2 + y^2)} \\f_{U,V}(u,v) &= \frac{1}{2\pi} \cdot e^{-\frac{1}{2}(x^2 + y^2)} \cdot (x^2 + y^2)^{\frac{1}{2}} \\&= \frac{1}{2\pi} \cdot e^{-\frac{1}{2}(u^2 + v^2)}\)

Therefore, the joint distribution of (u, v) is given by:

\(f_{U,V}(u,v) &= \frac{1}{2\pi} \cdot \exp\left(-\frac{1}{2}(u^2 + v^2)\right)\)

Learn more about joint probability distributions:

https://brainly.com/question/32099581

#SPJ11

To find the joint density function, we need to calculate the Jacobian determinant of the transformation from (x, y) to (u, v)

The joint distribution of (u, v) is a bivariate normal distribution with mean (0,0) and variance-covariance matrix

\(\begin{bmatrix}2 & 0 \0 & 2\end{bmatrix}\)

The joint distribution of (u, v) can be found by transforming the independent random variables x and y using the following formulas:

\( u = x + y\)
\( v = x - y \)

To find the joint distribution of (u, v), we need to find the joint probability density function (pdf) of u and v.

Let's start by finding the Jacobian determinant of the transformation:

\(J = \frac{{\partial (x, y)}}{{\partial (u, v)}}\)

\(= \frac{{\partial x}}{{\partial u}} \cdot \frac{{\partial y}}{{\partial v}} - \frac{{\partial x}}{{\partial v}} \cdot \frac{{\partial y}}{{\partial u}}\)

\(= \left(\frac{1}{2}\right) \cdot \left(-\frac{1}{2}\right) - \left(\frac{1}{2}\right) \cdot \left(\frac{1}{2}\right)\)

\(J = -\frac{1}{2}\)

Next, we need to express x and y in terms of u and v:

\(x = \frac{u + v}{2}\)

\(y = \frac{u - v}{2}\)

Now, we can find the joint pdf of u and v by substituting the expressions for x and y into the joint pdf of x and y:

\(f(u, v) = f(x, y) \cdot |J|\)

\(f(u, v) = \left(\frac{1}{\sqrt{2\pi}}\right) \cdot \exp\left(-\frac{x^2}{2}\right) \cdot \left(\frac{1}{\sqrt{2\pi}}\right) \cdot \exp\left(-\frac{y^2}{2}\right) \cdot \left|-\frac{1}{2}\right|\)

\(f(u, v) = \frac{1}{2\pi} \cdot \exp\left(-\frac{u^2 + v^2}{8}\right)\)

Therefore, the joint distribution of (u, v) is given by:

\(f(u, v) = \frac{1}{2\pi} \cdot \exp\left(-\frac{{u^2 + v^2}}{8}\right)\)

In summary, the joint distribution of (u, v) is a bivariate normal distribution with mean (0,0) and variance-covariance matrix

\(\begin{bmatrix}2 & 0 \0 & 2\end{bmatrix}\)

Learn more about joint probability distributions:

brainly.com/question/32099581

#SPJ11

Step-by-step explanation:

30-10= 20

20 more students prefer cashews than walnuts.

Answer:

20

Step-by-step explanation:

30-10 = 20

Answer:

it is b because if you count the points it 11 of them

Step-by-step explanation:

The number of 45-second commercials can it show, based on the given informations and values provided, it is calculated to show approximately 1749 number of 45-second commercials each hour.

There are 60 seconds in a minute, so there are 60/45 = 4/3 45-second commercials in a minute.

If the television station shows commercials for 1312 minutes each hour, then in one hour, it can show 1312 x 4/3 = 1749.33... 45-second commercials.

Since it's not possible to show a fraction of a commercial, we need to round the result to the nearest whole number.

Therefore, the television station can show approximately 1749 number of 45-second commercials each hour.

Learn more about Whole Numbers :

https://brainly.com/question/29766862

#SPJ4

Answer:

wich problem i see multiple ?

The value of x for which the perimeter of the rectangle is less than 140 is,

x ≤ 33.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

A rectangular shape with sides x + 4 and x.

And the perimeter of the rectangle is less than 140.

That means,

2(2x + 4) ≤ 140

4x + 8 ≤ 140

4x ≤ 140 -8

4x ≤ 132

x ≤ 33

Therefore, the solution of the inequality is x ≤ 33.

To learn more about the inequality;

brainly.com/question/28823603

#SPJ1

Answer:

here is your aneswer

the answer. will be 40

The number of ways to study for 3 hours for 3 nights is 7.

i.e

(0, 1, 2), (0, 2, 1), (1, 0, 2), (1, 2, 0), (1, 1, 1), (2, 0, 1), (2, 1, 0)

It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

We have,

Number of study hours = 3

Number of days = 3

Types of hours.

= 0, 1, and 2

The number of ways to study for 3 hours for 3 nights.

= (0, 1, 2), (0, 2, 1), (1, 0, 2), (1, 2, 0), (1, 1, 1), (2, 0, 1), (2, 1, 0)

Thus,

The number of ways to study for 3 hours for 3 nights is 7.

Learn more about combination here:

https://brainly.com/question/14355408

#SPJ1

By the calculations below, there are 20 groups of 1/5 in 4.

To find out how many groups of 1/5 are in 4, we can use the concept of division of fractions.

Recall that dividing by a fraction is the same as multiplying by its reciprocal. So, we can rewrite the problem as:

4 ÷ 1/5

To find the reciprocal of 1/5, we flip the fraction:

1/5 → 5/1

Now, we can rewrite the division problem as multiplication:

4 ÷ 1/5 = 4 × 5/1

Multiplying across gives:

4 × 5/1 = 20

Therefore, there are 20 groups of 1/5 in 4.

Read more about fractions at

https://brainly.com/question/1330447

#SPJ1

The required statement "outlier in a data set can significantly affect the value of the mean but not the median" is true.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

The average of a group of variables is referred to as the mean in mathematics and statistics.

There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Thus, given statement is true.

To know more about mean visit:

brainly.com/question/30094057

#SPJ4

Answer: Mean- 17

Median- 15

Mode- 18

Step-by-step explanation: Your welcome. Branliest, please.

Answer:

This sounds like a classic case of a homophone!

A homophone refers to the figurative speech which occurs when two words are spelled the same and they sound the same, but they have different meanings!

Hope this helped!

Answer:

option 3

Step-by-step explanation:

Answer:

2340 ft.

Step-by-step explanation:

Step 1:

78 : 2       Ratio

Step 2:

39 : 1        Convert

Step 3:

39 × 60     Multiply

Answer:

2340 ft.

Hope This Helps :)

The rate of change in height when height is 6 inches is 2.37 inches per second approximately.

We know that the volume of cube with length L, width W and height H is given by,

V = L*B*H

So given that the length is 15 inches

the width is 16 inches

Let the height be h inches.

So now the volume is given by,

V = 15*16*h

Differentiating the volume with respect to time 't' we get,

dV/dt = 15*16 dh/dt

Now given that the rate of change in volume per second is 569 cubic inches.

So, dV/dt = 569

So, 15*16 dh/dt = 569

dh/dt = 569/(15*16) = 569/240 = 2.37 (approx)

So the rate of change in height is 2.37 inches approximately.

To know more about Volume refer to:

https://brainly.com/question/1972490

#SPJ4

Answer:

D. 2-i

Step-by-step explanation:

:)

math

Answer:

B, 2+i

Step-by-step explanation:

I hope this helps.

The final values of the angles are:

C0 = A0 = 2

C1 = B1 = -7

theta1 = 0 degrees

C2 = B2 = -7

theta2 = 0 degrees

Here, we have,

To determine the values of C0, C1, theta1 (in degrees), C2, and theta2 (in degrees), we need to match the given expressions for x(t) with the given values for A0, A1, B1, A2, B2, and w.

Comparing the expressions:

x(t) = C0 + C1sin(wt+theta1) + C2sin(2wt+theta2)

x(t) = A0 + A1cos(wt) + B1sin(wt) + A2cos(2wt) + B2sin(2w*t)

We can match the constant terms:

C0 = A0 = 2

For the terms involving sin(wt):

C1sin(wt+theta1) = B1sin(w*t)

We can equate the coefficients:

C1 = B1 = -7

For the terms involving sin(2wt):

C2sin(2wt+theta2) = B2sin(2wt)

Again, equating the coefficients:

C2 = B2 = -7

Now let's determine the angles theta1 and theta2 in degrees.

For the term C1sin(wt+theta1), we know that C1 = -7. Comparing this with the given expression, we have:

C1sin(wt+theta1) = -7sin(wt)

Since the coefficients match, we can equate the arguments inside the sin functions:

wt + theta1 = wt

This implies that theta1 = 0.

Similarly, for the term C2sin(2wt+theta2), we have C2 = -7. Comparing this with the given expression, we have:

C2sin(2wt+theta2) = -7sin(2w*t)

Again, equating the arguments inside the sin functions:

2wt + theta2 = 2wt

This implies that theta2 = 0.

Therefore, the final values are:

C0 = A0 = 2

C1 = B1 = -7

theta1 = 0 degrees

C2 = B2 = -7

theta2 = 0 degrees

To learn more on angle click:

brainly.com/question/28451077

#SPJ4

First you will get 4dz

Answer:

a) 450,000,000,000  (450 Billion)

b) 3500

Step-by-step explanation:

a) (5 x 9) · 10^(3+7)

   45 x 10^10

b) (7 ÷ 2) · 10^5-2

   3.5 x 10^3

Answer:

a) 45,000,000,000,000

b) 3,500

Step-by-step explanation:

Where there is an exponent and the base is 10, the exponent is how many zeros to add to the end of the number.

a) (5x10,000)x(9x100,000,000)

50,000x900,000,000

45,000,000,000,000

b)(7x1,000,000)/(2x1,000)

7,000,000/2,000

3,500

If you have more than $250,000 to deposit, you should consider spreading your money across multiple accounts or banks to ensure that your funds are fully insured by the FDIC (Federal Deposit Insurance Corporation).

If you have more than $250,000 to deposit, you can safely store your deposits by spreading them across multiple accounts and/or banks. This strategy is commonly referred to as "deposit insurance coverage" and is provided by the Federal Deposit Insurance Corporation (FDIC). In this way, if any one bank fails, you will still have access to your insured funds through the other banks.

A second option is to use the CDARS program. The Certificate of Deposit Account Registry Service is a program that can be utilized by investors to deposit their funds in CDARS member banks. The service allocates these deposits across multiple banks to guarantee that the funds are fully insured.

The third option is to seek the services of an FDIC-insured bank that offers deposit insurance coverage beyond the $250,000 limit. These banks may provide higher deposit insurance coverage, and you can inquire with your bank to determine if they offer this service.

To know more about the "FDIC (Federal Deposit Insurance Corporation)": https://brainly.com/question/29836791

#SPJ11

The probability that x is less than 0.5 and y is greater than 0.6 is 0.0087.

The given joint probability density function of x and y is:

f(x,y) = {

x × y^8, 0 <= x <= 1, 0 <= y <= 1,

0, elsewhere

}

To determine the marginal probability density function of x, we integrate the joint probability density function over the y-axis:

f(x) = \(\int [0,1] x\times y^8 dy\)

=\(x \times [y^{9/9}]_{[0,1]}\)

= x/9

Similarly, to determine the marginal probability density function of y, we integrate the joint probability density function over the x-axis:

f(y) = \(\int[0,1] x \times y^8 dx\)

= \(y^8 \times [x^{2/2}] _{[0,1]}\)

= \(y^{8/2}\)

To determine the probability that x is less than 0.5 and y is greater than 0.6, we use the joint probability density function and integrate over the given region:

P(x < 0.5 and y > 0.6) = \(\int[0.6,1] \int[0,0.5] x\times y^8 dx dy\)

= \(\int[0.6,1] y^{8/2} \times [x^{2/2}][0,0.5] dy\)

= \(\int[0.6,1] y^{8/16} dy\)

= \([y^9/144][0.6,1]\)

= 0.0087

For similar questions on probability

https://brainly.com/question/13604758

#SPJ11

The probability that x is less than 0.5 and y is greater than 0.6 is approximately 0.00011.

To determine the probability that x is less than 0.5 and y is greater than 0.6, we need to integrate the joint probability density function over the specified region.

Given the joint probability density function:

f(x, y) = {

x × y^8, 0 ≤ x ≤ 1, 0 ≤ y ≤ 1,

0, elsewhere

}

To find the probability, we integrate the joint density function over the region:

P(x < 0.5 and y > 0.6) = ∫∫R f(x, y) dxdy

= ∫[0,0.5] ∫[0.6,1] (x × y^8) dy dx

= ∫[0,0.5] [((x × y^9)/9) |_0.6^1] dx

= ∫[0,0.5] (x/9 - (0.6^9 × x)/9) dx

= [(x^2)/18 - (0.6^9 × x^2)/18] |_0^0.5

= [(0.5^2)/18 - (0.6^9 × 0.5^2)/18] - [0 - 0]

= (1/72 - (0.6^9)/18) ≈ 0.00011

To learn more about probability  click here

brainly.com/question/30034780

#SPJ11

Answer:

\(r = {(\frac{v}{27} ) } ^{2} \: - p \)

Step-by-step explanation:

\(v = {3}^{3} \sqrt{p + r} \\ v = 27 \sqrt{p + r} \\ \frac{v}{27} = \frac{27 \sqrt{p + r} }{27} \\ \)

\(\frac{v}{27} = \sqrt{p + r} \\ {(\frac{v}{27} ) }^{2} = p + r \\ {(\frac{v}{27} ) } ^{2} \: - p = r \\ \)

Answer:

\(\displaystyle r=\frac{v^2 }{3^{6} }-p\)

Step-by-step explanation:

\(v=3^3(\sqrt{p+r} )\)

Divide both sides by 3³.

\(\frac{v}{3^3 } =\frac{3^3(\sqrt{p+r} )}{3^3}\)

\(\frac{v}{3^3 } =\sqrt{p+r}\)

Square both sides.

\((\frac{v}{3^3 }) ^2 =(\sqrt{p+r})^2\)

\(\frac{v^2 }{3^{3 \times 2} }=(\sqrt{p+r})^2\)

\(\frac{v^2 }{3^{6} }=p+r\)

Subtract p from both sides.

\(\frac{v^2 }{3^{6} }-p=p+r-p\)

\(\frac{v^2 }{3^{6} }-p=r\)

Switch sides.

\(r=\frac{v^2 }{3^{6} }-p\)

Answer:

\(\$6\)

Step-by-step explanation:

Given

See comment for complete question

Required

The difference in the cost of 600 text messages plan

Representing the given data as; Cost to Number of text messages, we have:

\(Dial\ Up = \$5 : 100\)

and

\(Ring\ Ring= \$8 : 200\)

Multiply the dial-up by 6 to get the cost of 600

\(Dial\ Up = \$5 *6 : 100 * 6\)

\(Dial\ Up = \$30 : 600\)

So, the cost of 600 text messages is $30 --- for dial-up

Multiply the Ring Ring by 3 to get the cost of 600

\(Ring\ Ring= \$8 *3: 200*3\)

\(Ring\ Ring= \$24: 600\)

So, the cost of 600 text messages is $24 --- for Ring Ring

The difference (d) is:

\(d = \$30 - \$24\)

\(d = \$6\)

The character of the string "str1" = part1 will be printed.

The correct option is C.

We have,

str1 = "part1"

str2 = "part2" for x in str1: print (x, end=" " )

The program will print each character of the string "str1" on a separate line, followed by a space.

In this case, the string "str1" is "part1", so the program will print "p a r t 1" (with spaces in between each character).

The string "str2" is not involved in the loop, so it will not be printed.

Learn more about Loop here:

https://brainly.com/question/14390367

#SPJ4

Answer:

If we divide 5 by any other integer, then the remainder will be a non-zero positive integer.

Step-by-step explanation:

Answer: the record is 3 times higher

Step-by-step explanation:

The record Jenny's Burgers sold was:

36 burgers in 5 hours

The record Burger Hut sold was:

108 burgers in 5 hours

We have to divide the record of Burger Hut by Jenny's Burgers.

108 divided by 3 is 36.

Answer:

3 times the quantity

Step-by-step explanation:

108 divided by 36 equals 3 times the quantity