find the minimum sample size n needed to estimate for the given values of​ c, ​, and e. c​, ​, and e question content area bottom part 1 assume that a preliminary sample has at least 30 members.

The profit for winning should be $23/13 to make this game fair.

The formula used, Expected Value = Sum of (Value * Probability)Profit of winning to make the game fair

The expected value of the game is equal to zero, to make the game fair.

The probability of winning in a dice game is the number of outcomes that result in the win over the total number of possible outcomes.

The total number of outcomes in rolling two dice is 6 × 6 = 36.

The number of outcomes that result in a win is found by using the following table.

The sums greater than or equal to 10 are colored green, and the remaining sums are colored red.

Using the table, we can see that the number of outcomes that result in a win is 13.

The probability of winning is 13/36.

The probability of losing is 1 − 13/36 = 23/36.

Let p be the profit from winning the game.

If you win, you receive p dollars.

If you lose, you pay $1.

The expected value of the game is:

p(13/36) − 1(23/36) = 0p(13/36)

= 23/36p = (23/36) / (13/36)p

= 23/13

So, the profit for winning should be $23/13 to make this game fair.

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Answer:

Step-by-step explanations think :

Answer:

one

Step-by-step explanation:

Answer:

18 . 75

Step-by-step explanation:

1.50's half is 0.75 , Then multiply £1.50 × £25

Answer:

one book=1.50

the other half priced book=0.75

so 0.75+1.50=2.25

25/2.25

=11.111

so eleven books

Answer:

y=-5x+4

Step-by-step explanation:

First find the slope of the line by doing (y2-y1)/(x2-x1). This translates to

(-1-(-6))/(1-2). This gives you a slope of -5. Now, you have y=-5x+b. To solve for b, plug in a coordinate point. So this would now be -6=-5(2)+b, which translates to -6=-10+b. Now add 10 to both sides, and you get 4=b. Now you have all the parts you need to write the equation of the line.

Step-by-step explanation:

the probability will be  amount of green marbles over total amount of marbles

if there are 2 green marbles, and 10 total the probability is 2/10, or 20%

13 units is the answer.......

hope it helps...

Answer:

1.diameter

2.radius

3.chord

4.radius

5.radius

To find the price at which the designer will sell the maximum number of shirts, we need to determine the vertex of the quadratic function representing the number of shirts sold.

The equation for the number of shirts sold is given by:

S = -4x^2 + 80x - 76

This is a quadratic function in the form of:

S = ax^2 + bx + c

To find the price at which the maximum number of shirts is sold, we need to locate the vertex of the quadratic function. The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

In this case, a = -4 and b = 80. Plugging in these values, we can calculate the x-coordinate:

x = -80 / (2*(-4))

x = -80 / (-8)

x = 10

Therefore, the designer will sell the maximum number of shirts at a price of $10. Hence, the correct option is c) $10.

Answer:

Your friends shadow would be 9 foot 3 inches

Answer:

The answer should be C

Answer:

\(f^{-1}(7)=2\)

Step-by-step explanation:

\(f^{-1}(7)\) means substitute x = 7 into the inverse function \(f^{-1}\)

\(\implies f^{-1}(7)=\frac{7-1}{3} =2\)

The team with the home-court advantage would win a 1 game playoff with probability (p), the home-court team is less likely to win a three-game series than a 1 game playoff.

For the team with the homecourt advantage, let \(Wi\) and \(Li\) denote whether the game '\(i\)' was a win or a loss. Because games 1 and 3 are home games and game 2 is an away game.

The probability that the team with the home-court advantage wins is

P [H] = P [\(W1W2\)] + P [\(W1L2W3\)] + P [\(L1W2W3\)]

        = \(p(1-p)\) + \(p3\) + \(p(1-p){2}\)

Note that P[H] ≤ pfor 1/2≤p≤1.

Since the team with the home-court advantage would win a 1 game playoff with probability (p), the home-court team is less likely to win a three-game series than a 1 game playoff.

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For the team with the homecourt advantage, let  and  denote whether the game '' was a win or a loss. Because games 1 and 3 are home games and game 2 is an away game.

The probability that the team with the home-court advantage wins is

P[H] ≤ pfor 1/2≤p≤1.

Since the team with the home-court advantage would win a 1 game playoff with probability (p), the home-court team is less likely to win a three-game series than a 1 game playoff.

ascending order is being small number and ends with greatest number

your answer is:-11,-9,-3,+5

Answer:

x = -3

Step-by-step explanation:

Solve for x:

-5 x + 4 = 2 x + 25

Subtract 2 x from both sides:

(-5 x - 2 x) + 4 = (2 x - 2 x) + 25

-5 x - 2 x = -7 x:

-7 x + 4 = (2 x - 2 x) + 25

2 x - 2 x = 0:

-7 x + 4 = 25

Subtract 4 from both sides:

(4 - 4) - 7 x = 25 - 4

4 - 4 = 0:

-7 x = 25 - 4

25 - 4 = 21:

-7 x = 21

Divide both sides of -7 x = 21 by -7:

(-7 x)/(-7) = 21/(-7)

(-7)/(-7) = 1:

x = 21/(-7)

The gcd of 21 and -7 is 7, so 21/(-7) = (7×3)/(7 (-1)) = 7/7×3/(-1) = 3/(-1):

x = 3/(-1)

Multiply numerator and denominator of 3/(-1) by -1:

Answer:  x = -3

Answer:

x = -3

Step-by-step explanation:

=> 4-5x=2x+25

=> -5x-2x= 25-4

=> -7x = 21

=> x = -21/7

=> x = -3

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Since this is a 30 60 90 triangle you multiply the short leg by 2, hope this helps! :)

The correct properties of the normal curve are:

A. The high point is located at the value of the mean.

C. The area under the normal curve to the right of the mean is 1.

F. The graph of a normal curve is symmetric.

Analyzing each of the options we can see that:

The normal curve is symmetric, with the highest point (peak) located exactly at the mean.

It has a bell-shaped appearance.

The area under the entire normal curve is equal to 1, representing the total probability. The area under the normal curve to the right of the mean is 0.5, or 50% of the total area, as the curve is symmetric.

The normal curve is not skewed right; it maintains its symmetric shape. The value of the standard deviation does not determine the location of the high point of the curve.

Then the correct options are A, C, and F.

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The following are properties of the normal curve: A. The high point is located at the value of the mean, C. The total area under the normal curve is 1 (not just to the right), and F. The graph of a normal curve is symmetric.

Based on the options provided, the following statements are properties of the normal curve:

Other options do not correctly describe the properties of a normal curve. For instance, normal curves are not skewed right, the high point does not correspond to the standard deviation, and the area under the curve to the right of the mean is not 0.5.

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We can fill in the boxes to make each equation complete as follows:

1. x³x⁹ = x¹²

2. x⁷/x³ = x⁴

3. 1/x⁻⁵ = x⁵

4. (7b³c⁵)³ = 343b⁹c¹⁵

To solve the exponents as provided above, the rules have to be factored in. One of the rules is that when multiplying exponents of the same base, we simply add their powers together. So, we have the powers of 3 and 9 for the first expression and they add up to 12.

1. x³x⁹ = x³ ⁺ ⁹ = x¹²

For the second expression, the rule of exponents says that when dividing, we will subtract the powers. This gives us x⁴ for the second expression.

2. x⁷/x³ = x⁷ ⁻ ³ = x⁴

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2x-3=7

The answer would be 5.

Answer:

x=5

Step-by-step explanation:

2x−3=7

Add 3 to both sides.

2x=7+3

Add 7 and 3 to get 10.

2x=10

Divide both sides by 2.

x=10/2

Divide 10 by 2 to get 5.

x=5

a) How king is the zip-line?

The zip-line is 371.1 ft long

The zip-line, the 150 foot pole and the distance from the 5 foot stake to the 150 foot pole all form a right-angled triangle.

The right-angled triangle with hypotenuse side, h the zip-line, adjacent side, x the distance from the 5 foot stake to the 150 foot pole and opposite side, y the distance from the top of the stake to the platform, since the angle of elevation of the platform from the stake is 23°.

Using trigonometric ratios,

sin23° = y/h

h = y/sin23°

y = 150 ft - 5 ft = 145 ft

So, h = 145 ft/sin23°

h = 145 ft/0.3907

h = 371.1 ft

So, the zip-line is 371.1 ft long

b) How far is the stake from the pole?

The stake is 341.6 ft far from the pole.

Also, since the zip-line, the 150 foot pole and the distance from the 5 foot stake to the 150 foot pole all form a right-angled triangle.

The right-angled triangle with hypotenuse side, h the zip-line, adjacent side, x the distance from the 5 foot stake to the 150 foot pole and opposite side, y the distance from the top of the stake to the platform, since the angle of elevation of the platform from the stake is 23°.

Using trigonometric ratios,

tan23° = y/x

y = 150 ft - 5 ft = 145 ft

So, x = y/tan23°

x = 145 ft/0.4245

x = 341.6 ft

So, the stake is 341.6 ft far from the pole.

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The light bulb should be placed 1 inch from the vertex so that the rays will be reflected parallel to the axis.

The reflector of a flashlight is in the shape of a paraboloid of revolution.

Its diameter is 4 inches and its depth is 1 inch.

To find the distance from the vertex to the light bulb, so that the rays will be reflected parallel to the axis, we will use the following steps:

Step 1: Write the equation of the paraboloid.

For the given paraboloid, the vertex is at the origin (0,0,0) and the axis of symmetry is the z-axis.

Since the paraboloid is symmetric with respect to the z-axis, the equation of the paraboloid can be written as:

\($$z=\frac {x^2+y^2}{4p}$$\)

where p is the distance from the vertex to the focus.

Here, we have to find p.

Step 2: Find the value of p.

We know that the diameter of the reflector is 4 inches.

Since the paraboloid is symmetric with respect to the z-axis, the diameter of the paraboloid is also 4 inches.

Therefore, the radius of the base of the paraboloid is 2 inches.

Since the depth of the paraboloid is 1 inch, the vertex is 1 inch away from the base of the paraboloid.

Hence, the value of p can be found as follows: p = distance from vertex to focus

= \($\frac{1}{4}$\)

distance from vertex to the base

\(= $\frac {1}{4}$ (2)\)

\(= $\frac{1}{2}$\) inches

Step 3: Find the distance from the vertex to the light bulb.

Since the rays should be reflected parallel to the axis, the light bulb should be placed at a distance of

\(2p = 2 $\times$ $\frac{1}{2}$ = 1 inch\) from the vertex.

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Answer:

4th degree

Step-by-step explanation:

The degree of a monomial is the sum of the exponents of all its variables

FOR EXAMPLE:

7y^(2) x^(3)

the degree of monomial is 2+3=5 (5th degree)

Answer:

-9xy (xy+xy)-3

Step-by-step explanation:

What is the equation of the line that passes through the point (-3, 6) and has a

slope of -1

Answer:

y=-x+3

The correct option is False.

The given statement: Unless proven via a statistical experiment, when two variables are correlated we should simply conclude that one "might" cause the other is false.

Explanation: Correlation analysis is a statistical method utilized to establish a relationship between two variables. It establishes the correlation coefficient (r) which provides information about the strength and direction of the relationship between two variables. When two variables are correlated, it does not always imply that one variable is the cause of the other. The variables may or may not have any effect on each other, and the correlation can occur by coincidence. Therefore, it is crucial to investigate the causal relationship between variables before making any assumptions based on a correlation coefficient. If the causal relationship between variables is not tested using an appropriate statistical method, assuming that one variable causes the other solely based on the correlation coefficient is not recommended. This statement would lead to wrong conclusions being drawn, which is why the given statement is false.

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Step-by-step explanation:

please ignore the 8.7

and on the graph please don't connect the line with the values with 30000 feet and the graph on the time place is scaled with 1/4 hours so you know one line represents quarter hour . I hope you understood best of luck

Answer:

y= 3x+ 1

Step-by-step explanation:

-3x   +   2y =2

+3x            +3x

---------------------

2y = 3x +2

-----   --------

2           2

y = 3x + 1

Using Pythagoras theorem to set a system of equations, the longer side is 11 unit and shorter side is 3 unit

A system of equations is a set of two or more equations containing two or more variables. The goal of a system of equations is to find the values of the variables that satisfy all of the equations simultaneously.

In this problem, we can define our unknown variables as;

Let;

Using Pythagoras theorem;

x² + y² = (√130)²

x² + y² = 130 ...(i)

The perimeter of the triangle is the sum of sides in the triangle.

x + y + √130 = 14 + √130

x + y = 14 + √130 - √130

x + y = 14 ...eq(ii)

From equ(ii)

x = 14 - y ...eq(iii)

Put eq(iii) into eq(i)

x² + y² = 130

(14 - y)² + y² = 130

y² - 28y + 196 + y² = 130

2y² - 28y + 66 = 0

Solving the quadratic equation

y = 11

Put y = 11 into equ(ii)

x + y = 14

x + 11 = 14

x = 3

The shorter side is 3 units and longer side is 11 units

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Answer:

A≈113.1in²

Step-by-step explanation:

Radius: 6in

Solved for area

Shape: Circle

Formula: A=πr2

1: Use the formula πr (r) to calculate the the area.

2: We are looking for the area.

3: 6 inches for radius to find the area

Answer: A≈113.1in²

Hope this helps.

Square is consider as the king of all the quadrilaterals.

Explanation:

Square is consider as the king of all the quadrilaterals:

Therefore, square shape is consider as the king of all the quadrilaterals.

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Answer:

6

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

The Height and volume of the pyramid is ,

i) Height = 15.35cm

ii) Volume= 690.75 \(cm^3\).

What is pyramid ?

 A three-dimensional shape is a pyramid. Flat triangular sides that are joined at a common point known as the apex define the polygonal base of a pyramid. By fusing the bases together at the peak, a pyramid is created. The lateral face, a triangular feature formed by the connection of each base edge to the apex, is present.

Here slant height l = 16cm and sides of the rectangular base is ,

length l = 15cm and width w = 9 cm.

Side length = 9/2 = 4.5cm

Using Pythagorean theorem ,

=> Height h =  \(\sqrt{16^2-4.5^2}\)

=> height h = 15.35 cm

Now volume of pyramid is ,

=> V = 1/3 * Base area * height cubic unit

=> V = 1/3 *15*9*15.35

=> V = 690.75 \(cm^3\)

Hence the Height and volume of the pyramid is ,

i) Height = 15.35cm

ii) Volume= 690.75 \(cm^3\).

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Based on the information provided, Panel A is most likely showing a regression discontinuity design, while Panel B is showing a difference-in-difference design.

In a regression discontinuity design, the treatment group is determined based on a cutoff point, such as a certain score on a test.

This design is used to estimate the causal effect of a treatment by examining the difference in outcomes between the treatment and control groups before and after the treatment.

To summarize, Panel A most likely shows a regression discontinuity design, while Panel B most likely shows a difference-in-difference design.

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