if a binomial experiment has seven trials in which the probability of success is p and the probability of failure is q, write an expression that could be used to compute each of the following probabilities: a) p(exactly five successes) b) p(at least five successes) c) p(at most five successes)?

When the side length of the cube is 3 feet, it is expanding at a rate of 2/27 ft/min.

To solve this problem, we need to relate the rate of change of the volume, dV/dt (the derivative of V with respect to time), to the rate of change of the side length, dx/dt (the derivative of x with respect to time). We can do this by using the relationship between the volume and the side length of a cube.

The volume V of a cube is given by V = x³, where x represents the side length of the cube. Since both V and x are changing with time, we can differentiate this equation with respect to time t to obtain:

dV/dt = d/dt (x³)

Now, let's find the derivative of x³ with respect to t. By applying the chain rule, we have:

dV/dt = 3x² * dx/dt

This equation relates the rate of change of the volume to the rate of change of the side length. We know that the rate of change of the volume, dV/dt, is 2 ft/min, as given in the problem. Therefore, we can substitute this value into the equation:

2 = 3x² * dx/dt

Now, we can solve for dx/dt, which represents the rate at which the side length is changing. Let's plug in x = 3 into the equation:

2 = 3(3²) * dx/dt

2 = 3(9) * dx/dt

2 = 27 * dx/dt

To isolate dx/dt, we divide both sides by 27:

2/27 = dx/dt

So, when x = 3, the rate at which the side length is changing, dx/dt, is equal to 2/27 ft/min.

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Answer:

216 person

Step-by-step explanation:

100-60=40%

540×40/100=216 person

Answer:

50%

Step-by-step explanation:

Answer:

3 * (8/4) = 6

each person needs 8 cookies at 4 per box

you need 8/4 boxes per friend

you have three friends so 3 * (8/4)  

Step-by-step explanation:

Answer:

number of students in a van = 8

number of students in a minibus = 22

Step-by-step explanation:

Let

x = number of students in a van

y = number of students in a minibus

8x + 8y = 240 (1)

4x + y = 54 (2)

Multiply (2) by 8 to eliminate y

4x + y = 54 ×8

32x + 8y = 432 (3)

8x + 8y = 240 (1)

32x + 8y = 432 (3)

Subtract (1) from (3)

32x - 8x = 432 - 240

24x = 192

Divide both sides by 24

x = 192 / 24

= 8

x = 8 students

Substitute x = 8 into (2)

4x + y = 54

4(8) + y = 54

32 + y = 54

y = 54 - 32

= 22

y = 22 students

number of students in a van = 8

number of students in a minibus = 22

Answer:

1. D

2. C

3. B

4. A

Step-by-step explanation:

just match up the number y is on the right side and x on the left side like this (x,y)

in 1998, the university of Wisconsin collected data on means of transportation to work. in 2008, Betsy (a university of Minnesota student) used the data for her own project. betsy is using Secondary analysis collection method.

Secondary data is information gathered by someone other than the original user. It signifies that the data is already accessible and has been analyzed. Magazines, newspapers, books, and journals are examples of secondary data. It might be published or unpublished data.

Secondary analysis is the use of existing data acquired for the purposes of a previous study to pursue a research interest that is unique from the original work; this might be a new research topic or an alternate viewpoint on the original subject.

Secondary research methods commonly used include data acquisition via the internet, libraries, archives, schools, and organizational reports.

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Answer: H = 1

Step-by-step explanation:

The speed of both printers operating together is 1.333 hours which was found using the given data.

The formula used to explain the connection between speed, distance, and time is speed = distance/time.

Given: Newspapers can be printed twice as quickly on a modern printing press as they can on an old one. The old one takes four hours to publish the afternoon edition.

Let,

a = Speed of New printing press

b = Speed of Old printing press

x = Speed of both printers operating together

We know that,

(1/a)+(1/b)=(1/x)

(1/2)+(1/4)=(1/x)

(4/8)+(2/8)=(1/x)

6/8=1/x

x=8/6

x=1.333

Therefore, the speed of both printers operating together is 1.333 hours which was found using the given data.

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The graph of the function g(x) = −|x + 3| − 2 is added as an attachment

From the question, we have the following parameters that can be used in our computation:

g(x) = −|x + 3| − 2

The above expression is an absolute value function that hs the following properties

Next, we plot the graph

See attachment for the graph of the function

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Answer:

D. 353

Step-by-step explanation:

just took test

The approximate direction angle of v =<8, -1> is 353°

For any vector its direction angle is the angle that vector makes with a horizontal line.

The direction angle of vector <x , y> is ,

\(\theta=tan^{-1}(\frac{y}{x} )\)

For given example,

We have been given a vector v = <8, -1>

Let \(\theta\) be the direction angle

x = 8, y = -1

Using the formula of direction angle of vector,

\(\Rightarrow \theta=tan^{-1}(\frac{y}{x} )\\\\\Rightarrow \theta=tan^{-1}(\frac{-1}{8} )\\\\\Rightarrow \theta=tan^{-1}(-0.125)\\\\\Rightarrow \theta=-7.12501635\\\\\Rightarrow \theta \approx -7^{\circ}\)

If we measure this angle in anticlockwise direction then the direction angle would be,

\(\Rightarrow \theta=360^{\circ}-7^{\circ}\\\\\Rightarrow \theta=353^{\circ}\)

Therefore, the approximate direction angle of v is 353°

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Answer:what

Step-by-step explanation:what does this mean

The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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The minimum distance between Point P and Point T is √(97)

The coordinates of point P are (-2, 6).

The coordinates of point T are (6, -2).

Point S is located at (1/2, -21/2).

To find the coordinates of Point P and Point T, use the distance formula.

The distance formula for two points, A(x1, y1) and B(x2, y2) is given as:

Distance, AB = √[ (x2 - x1)² + (y2 - y1)² ]

Now, substituting the coordinates of Point P and Point T into the distance formula gives

:Distance, PT = √[ (xT - xP)² + (yT - yP)² ]... Equation (1)

Let d be the distance PT. Using the coordinates of Point S, we can express the distance PT as the sum of two smaller distances, PS and ST.

Distance, PT = PS + ST... Equation (2)

Substituting the coordinates of Point P and Point S into Equation (2),

we get: Distance, PS = √[ (1/2 - (-2))² + (-21/2 - 6)² ] = √(97)Distance,

ST = √[ (6 - 1/2)² + (-2 - (-21/2))² ] = √(97)

Therefore, d = PS + ST = 2 √(97).

By Pythagoras theorem, if x is the distance from Point P to Point S along the x-axis, then:

Distance, PS = |x - 1/2|And, if y is the distance from Point P to Point S along the y-axis, then:

Distance, PS = |y - (-21/2)|

Thus, the distance PT can be expressed in terms of x and y as follows: d = |x - 1/2| + |y + 21/2|... Equation (3)

Now, we need to find the minimum value of d. We can do this by first minimizing the first term |x - 1/2| and then minimizing the second term |y + 21/2|.

To minimize the first term |x - 1/2|, x should be as close as possible to 1/2.

Therefore, let x = 1/2.

Then, substituting x = 1/2 into Equation (1)

gives:|y - (-21/2)| = 2 √(97)Solving for y,

we get: y = -21/2 ± 2 √(97)

Substituting y = -21/2 + 2 √(97) into Equation (3),

we get: d = √(97)

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The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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The value of \(x^{3} . y^{4x}\) when x = 3 and y = 0 is 0.

Zero: Zero is a number that denotes nothingness. By multiplying the digits to the left of 0 by the radix, typically by 10, 0 also serves as a placeholder numerical digit in place-value notation, such as the Hindu–Arabic numeral system. As a number, 0 satisfies a focal job in science as the added substance personality of the numbers, genuine numbers, and other logarithmic designs.

Given that,

x = 3 and,

y = 0

Substituting the values in the equation  \(x^{3} . y^{4x}\) .

= 3³ × 0⁴⁽³⁾

= 27 × 0¹²

Additionally, we are aware that anything raised to the power of zero also returns zero.

thus, 27 × 0 = 0

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(complete question)

What is the value of \(x^{3} . y^{4x}\) when x = 3 and y = 0?

Answer:

hi

Step-by-step explanation:

Answer:

Step-by-step explanation:

which expression is equivalent to 2^2 x 2/24

a. 2^-2

b.2^-1

c.2^6

d.2^7

2^2 * 2/24 =

4 * 2/24 =

4 * 1/12 =

1/3

then

1/3 = 0.33

find equivalent

a) 2^-2 = 0.25

b) 2^-1 = 0.5

c) 2^6 = 64

d) 2^7 = 128

Answer:4

Step-by-step explanation:

The square root of 9 is 3, 3 multiplied by 2 is 6, and 10 - 6 =4.

Answer:

frequency of nuts based on another relative frequency. What might

she be doing

nuts:3/30=15%

The calculated correlation coefficient (r) is approximately -0.291.

To calculate the correlation coefficient between telomere length and chronicity, we can utilize the given summary data. The correlation coefficient, often denoted as r, measures the strength and direction of the linear relationship between two variables.

Let's denote the sum of products as Σxy, the sum of squares for chronicity as Σx², the sum of squares for telomere length as Σy², and the total sample size as n.

From the given data, we have the following values:

Σxy = -8.822

Σx² = 318.817

Σy² = 2.868

n = 38

The correlation coefficient (r) can be calculated using the following formula:

r = Σxy / √(Σx² * Σy²)

Substituting the given values into the formula:

r = -8.822 / √(318.817 * 2.868)

Now, let's solve this equation step by step:

First, multiply the values inside the square root:

r = -8.822 / √(913.350956)

Next, calculate the square root:

r = -8.822 / 30.219307

Finally, divide Σxy by the square root of the product of Σx² and Σy²:

r ≈ -0.291

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a) Line Integral part of Green's Theorem: Green's theorem is given as follows: ∮ P dx + Q dy = ∬ (Qx - Py) dA

Here, P = yi, Q = x^2, x runs from -1 to 1, and y runs from 0 to 1 - x.

We can now use Green's theorem to write

∮ Pdx + Qdy = ∬ (Qx - Py) dA = ∫ -1^1 ∫ 0^(1 - x) ((x^2 - 0i) - (yj) dy dx)

                    = ∫ -1^1 ∫ 0^(1 - x) x^2 dy dx

                    = ∫ -1^1 [x^2y]0^(1-x)dx= ∫ -1^1 x^2 (1-x) dx

                    = ∫ -1^1 (x^2 - x^3) dx= 2/3

b) Region's Drawing:  [asy] unitsize(2cm);  pair A=(-1,0),B=(0,1),C=(1,-1); draw(A--B--C--cycle); dot(A); dot(B); dot(C); label("$(-1,0)$",A,S); label("$(0,1)$",B,N); label("$(1,-1)$",C,S); label("$y=1-x$",B--C,W); label("$y=0$",A--C,S); label("$y=0$",A--B,N); [/asy]

c) Parameterization's Approach: To parameterize the triangle ABC, we can use the following equations: x = s t1 + t t2 + u t3y = r t1 + s t2 + t t3.

Here, we can use: A = (-1, 0), B = (0, 1), C = (1, -1)to obtain: s(1,0) + t(0,1) + u(-1,-1) = (-1,0)r(1,0) + s(0,1) + t(1,-1) = (0,1)t(1,0) + r(0,1) + s(-1,-1) = (1,-1).

We get: s - u = -1r + s - t = 1t - s = 1.From the above equations, we get the following values:s = t = (1 - u)/2r = (1 + t)/2From this, we get our parameterization as follows: x(u) = u/2 - 1/2y(u) = (u + 1)/4

d) Integral's Resolution: Since we have already obtained our parameterization as: x(u) = u/2 - 1/2y(u) = (u + 1)/4.we can now use the formula for a line integral as follows:∫ P(x,y)dx + Q(x,y)dy = ∫ F(x(u),y(u)) . dr/dt dt [a,b]

Here, we can use P(x, y) = yi, Q(x, y) = x^2, a = 0, b = 1.Substituting everything, we get:

∫ P(x,y)dx + Q(x,y)dy = ∫ F(x(u),y(u)) .

dr/dt dt [0,1]= ∫ -1^1 (u/4 + 1/16) . (1/2)i + (1/2 - u^2/4) . (1/4)j du

= ∫ -1^1 (u/8 + 1/32)i + (1/8 - u^2/16)j du

= [u^2/16 + u/32](-1)^1 + [1/8u - u^3/48](-1)^1= 1/2

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Answer: 8/10

Step-by-step explanation:

if you do 5/10 plus 3/10 it equals 8/10 and that is what the question is telling you to do.

Answer:

147/200

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I have the same question and got it write

Answer:

100

Step-by-step explanation:

first we need to turn the feet into inches

20x12=240

30x12=360

now to get the area of the floor we need to do 360x240=

86,400

now the area of each tile is 24x36=864

now to find out how many tiles fit on the floor we need to do 86,400 divided by 864 which = 100

In this two-period model of the current account, the utility function U is given by U = (1-θ)ln(C1) + Bln(C2), where C1 and C2 represent consumption levels, CA1 and CA2 are the current account balances, r is the world interest rate, Y1 and Y2 are endowments in periods 1 and 2, and θ is a known parameter between 0 and 1.

(a) To derive the lifetime budget constraint, we add the present value of future income to the current period income: C1 + (1+r)C2 = Y1 + (1+r)Y2. This equation represents the constraint on total consumption over the two periods. By substituting the given expressions for C1 and C2 into the constraint, we can solve for C1, C2, CA1, and CA2 analytically:

C1 = Y1 - CA1

C2 = Y2 + (1+r)CA1 - CA2

CA1 = (1-θ)Y1 - C1

CA2 = (1-θ)(1+r)Y1 + θY2 - C2

To show that the home country runs a current account deficit in period 1 if and only if pA > r, where pA is the autarky interest rate, we need to compare the autarky interest rate with the world interest rate. If the autarky interest rate is greater than the world interest rate, the home country will experience a current account deficit in period 1.

It's important to note that the numerical solutions and interpretations depend on the specific values and equations given in the question. Any errors or omissions in the question may affect the accuracy of the response.

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Answer:

it's says that it is ×=1

Step-by-step explanation:

3×-5=2(x-2)

3x-5=2x-4

3x-5+5=2x-4+5

3x=2x+1

3x=2x + 1

3x-2x=2x+1-2x

Answer x=1

The probability of rolling and odd number with both dice A and B is 1/4.

Probability simply means the likelihood that an event will occur on a scenario.

Since Dice A and dice B have ten sides,the numbers will be from 1 to 10. Therefore, there are 5 even numbers and 5 odd numbers.

Probability of odd number = 5/10 = 1/2

Probability of even number = 5/10 = 1/2

Probability of rolling both odd numbers will be:

= P(odd) × P(odd)

= 1/2 × 1/2

= 1/4

The probability is 1/4.

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