What is the perimeter, in terms of x, of the triangle shown here?
(7x2 - 12)
(-5x + 30)
(3x2 + 4x)

The probability of getting at least one nun in three spins of a dreidel is approximately 0.578

The probability is the ratio of number of favorable outcomes to the total number of outcomes

The probability of getting no nuns in a single spin is 3/4, since there are three non-nun letters (Gimel, Hei, Shin) and four total letters.

The probability of getting no nuns in three spins is then (3/4)^3, since the spins are independent and we can multiply probabilities of independent events.

So the probability of getting at least one nun in three spins is

= 1 - (3/4)^3

= 1 - 0.421875

= 0.578125

Therefore, the probability of getting at least one nun is 0.578

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The given question is incomplete, the complete question is:

A dreidel is a four-sided spinning top with the Hebrew letters nun, gimel, hei, and shin, one on each side. Each side is equally likely to come up in a single spin of the dreidel. Suppose you spin a dreidel three times. Calculate the probability of getting (a) at least one nun?

Answer:

71 degrees

Step-by-step explanation:

Sum of three angles of triangle=180

Let's find the third angle

73+36=109

180-109=71

Vertical angles are congruent so x= angle 3

So x is 71 degrees

Answer:

79 degrees

Step-by-step explanation:

Remember: Triangles always add up to 180 degrees.

x is vertical to the missing angle in the triangle, which means x and the missing angle are equal.

to find the missing angle in the triangle, you add up the other angle measurements and subtract from 180.

36+73=109

180-109=71

The third mising angle is 71 degrees.

this means x is also 71.

Hope this helps!

Therefore, the correct answer is option D: "The wire is on the cylinder axis and carries current i in the direction opposite to that of the current in the shell. "Option E, "the wire does not carry any current," is not correct because the wire is in a region with a magnetic field, and therefore will have an induced current.

we are asked to determine the position and direction of the wire that is parallel to the cylinder axis in the hollow region. The long straight cylindrical shell has an inner radius R and an outer radius Ro, and carries a current i that is uniformly distributed over its cross section. The wire is located in the hollow region, which is defined as r > R and r < Ro.

Based on this information, we can determine the position and direction of the wire.To begin, we know that the wire must be on the cylinder axis since it is parallel to the axis. This eliminates options A, B, and C. Additionally, we know that the current in the wire must be in the opposite direction to the current in the shell. This is because the magnetic field created by the current in the shell will induce a current in the wire that is opposite in direction in order to create a repulsive force.

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(a) The unit vector u parallel to the normal vector n is (1/3, 2/3, 2/3).

(b) The equation of the plane in the form ax + by + cz = d is x + 2y + 2z = 21.

(c) There is no point A on the plane closest to point B = (1 1 0).

(a) The given normal vector n is N(1/2/2). To find a unit vector parallel to n, we need to divide the components of n by its magnitude. The magnitude of n can be calculated using the formula:

|n| = sqrt(n1^2 + n2^2 + n3^2)

Substituting the values, we get:

|n| = sqrt(1^2 + 2^2 + 2^2)

= sqrt(1 + 4 + 4)

= sqrt(9)

= 3

Now, we divide each component of n by its magnitude to get the unit vector u:

u = (1/|n|, 2/|n|, 2/|n|)

= (1/3, 2/3, 2/3)

So, the unit vector u parallel to n is (1/3, 2/3, 2/3).

(b) To write the equation of the plane in the form ax + by + cz = d, we can use the normal vector and the coordinates of point P. The equation of a plane can be represented as:

n1(x - x0) + n2(y - y0) + n3(z - z0) = 0

Substituting the values, we have:

1(x - 3) + 2(y - 4) + 2(z - 5) = 0

Simplifying further, we get:

x - 3 + 2y - 8 + 2z - 10 = 0

x + 2y + 2z - 21 = 0

Therefore, the equation of the plane in the form ax + by + cz = d is:

x + 2y + 2z = 21

(c) To find the point A on the plane closest to point B, we can use the equation of the plane and the coordinates of point B. We substitute the values of B into the equation of the plane:

x + 2y + 2z = 21

Substituting B = (1 1 0), we get:

1 + 2(1) + 2(0) = 21

1 + 2 + 0 = 21

3 = 21

This equation is not satisfied, which means point B does not lie on the plane. Hence, there is no point A on the plane closest to point B.

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We are 99% confident that the true difference in population proportions of people in the eastern half of the country who fly to visit family members for the winter holidays and people in the western half of the country who fly to visit family members for the winter holidays is somewhere between -0.422 and -0.114.

Next, we need to calculate the standard error of the difference in sample proportions. This gives us an idea of how much the sample difference in proportions can be expected to vary from the true population difference in proportions. We use the following formula to calculate the standard error:

√((p₁(1-p₁)/n₁)+(p₂(1-p₂)/n₂))

where p₁ and p₂ are the sample proportions, and n₁ and n₂ are the sample sizes. Plugging in the values we have, we get a standard error of 0.094.

Now that we have the sample proportions and the standard error, we can use a confidence interval formula to calculate the range of values that we can be confident contains the true population difference in proportions. For a 99% confidence interval, the formula is:

(sample proportion 1 - sample proportion 2) +/- (critical value x standard error)

The critical value is obtained from a t-distribution table, with degrees of freedom equal to the smaller of (n1-1) and (n2-1). For a 99% confidence level and 44 degrees of freedom, the critical value is 2.689.

Plugging in the values we have, we get a confidence interval of:

0.438 - 0.75 +/- 2.689 x 0.094

= -0.422 to -0.114

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Answer:

-18 for the first one and 24 for the second one

Step-by-step explanation:

if you have + - , you subtract.

if you have - - , you add.

Answer:

i think just 2

Step-by-step explanation:

Answer:

-x²-12x+6 is your answer

The sampling distribution approaches a Normal distribution as the sample size becomes larger.

The normal distribution is a probability distribution that is symmetric about the mean, demonstrating that data closer to the mean occur more frequently than data further from the mean.

Regardless of the distribution of the population, the central limit theorem (CLT) states that as the sample size increases, the distribution of sample means approximates a normal distribution.

A population's characteristics can be accurately predicted with a sufficient sample size. CLT is useful in finance for estimating portfolio distributions and characteristics for returns, risk, and correlation when analyzing a large number of securities.

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Answer:

54.59

Step-by-step explanation:

carry the 10 over and 1-.41 is .59

Answer:

y = x + 4 y= x − 8 25 x + y =

3

Step-by-step explanation:

Answer:  2:3=5

$50=5 units

divide both sides by 5

$10=1unit

times 2 both sides

$20=2 unit

if we times 3 of $10=1 unit

$30=3 unit

divided it is $20:$30

→ Hope this helps ←

Answer:

cos (-85°)

Step-by-step explanation:

\( \cos(275 \degree) \)

since cosine is in fourth quadrant:

\( \cos(275 \degree) = \cos( \{360 \degree - 275 \degree \}) \\ = \cos( - 85 \degree) \)

-85° is the angle between –180° and 0° that has the same cosine value as 275°.

Cosine is the trigonometric function that is equal to the ratio of the side adjacent to the acute angle in a right angled triangle.

Mathematically,

            Cos = Base/Hypotenuse

Now, to calculate cos(275) we have to first determine the quadrant of the given angle.

Since our angle is greater than 270 and less than or equal to 360, it is located in the Quadrant IV.

In the Quadrant IV, the values of cos are always positive.

275 is an obtuse angle so we can write,

Cos(275) = Cos{360+(-85)}

∵ Cos(360+θ) = Cosθ

∴ Cos{360+(-85)} = Cos(-85)

⇒ Cos(275) = Cos(-85)

The required answer is cos(275) = cos(-85)

Hence, -85° is the angle between –180° and 0° that has the same cosine value as 275°.

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Answer: 66% I think.

Step-by-step explanation: 550 is way less that 1.000

The position vector of point C which divides the line segment AB internally is  determined as 1.75i + 3j.

The position vector of point C is calculated using the following formula as shown below.

C = (mb + na) / (m + n)

where;

The ratios and position vector A and B is given as;

m = 3,  n = 1.

a = i - 3j

b = 2i + 5j

The position vector of point C is calculated as follows;

r = (3 (2i + 5j) + 1(i - 3j)) / (3 + 1)

= (6i + 15j + i - 3j) / 4

= (7i + 12j) / 4

= 1.75i + 3j

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Answer:

y = 16/9x - 7 2/9

Step-by-step explanation:

lmk if you want an explanation

There are 13 diamonds in the deck (as well as other colors). Since there are 52 cards, the probability of getting a diamond on the first draw is 13/52. After the first card is drawn, all that's left are his 12 diamonds. Therefore, the probability of drawing a diamond is 12/51 (note that he has only 51 cards left after pulling/removing the first card since there are no replacement cards). The overall probability is the product of two possibilities. The odds of drawing diamonds from the original deck are 13/52 times the odds of drawing diamonds from his remaining 51 cards. Assuming the first card drawn is a diamond, 12/51.

P=13/52*12/51=1/4*4/17=1/17.

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Answer:

cubic-degree of 3

Step-by-step explanation:

its not the first two, because they have way more waves

Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

Now, According to the question :

What is Vertical line?

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to x-axis and goes straight, left and right.

Is a vertical line positive or negative?

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Hence, Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

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Answer:

4e and 4f

Step-by-step explanation:

1:  4*4*e=16e   2*2*e= 4e        16e/4e=4e

2:  4*4*f=16f    2*2*f=4f            16f/4f=4f

I haven't learned about this yet but I do know a little, hopefully this was correct and helps you out! :) Have a good evening!

Answer:

The probability of choosing a heart, P(Heart) = 13/52 = 0.25

Step-by-step explanation:

Answer:

31.7 units²

Step-by-step explanation:

Since the two semicircles have the same radius, they have the same combined area as a full circle.

Rectangle: length 10; width 6

Circle: diameter 6; radius 3

area = area of rectangle - area of circle

area = LW - πr²

area = 10 × 6 - 3.14159 × 3²

area = 60 - 28.27431

area = 31.72569

Answer: 31.7 units²

Answer:

100%

Step-by-step explanation:

A Circle is a closed plane geometric shape figure. The diameter of a circle is the longest chord of a circle. The radius drawn perpendicular to the chord bisects the chord. A Circle is always lie at an equal distance from a center point. Circles having different radius are similar.

The circumference of a circle is the product of pi and length of the diameter of a circle. Mathematically;

\(\longrightarrow \tt{Circumference_{(circle)} = \pi{D}}\)

Here, D is the diameter of the circle or distance between the circle.

We are asked to find the circumference of the circle if the diameter is 8 inches.

We know that, The circumference of a circle is the product of pi and length of the diameter of a circle. Therefore;

\(\implies \tt{Circumference_{(circle)} = \pi{D}}\)

\(\implies \tt{Circumference_{(circle)} = 3.14 \times 8}\)

\(\implies \boxed{\pmb{\tt{Circumference_{(circle)} = 25.12}}}\)

Hence, the circumference of the circle is 25.12 inches. So option (B) is correct.

Answer:

Step-by-step explanation:

In the question we are given that diameter of circle is of 8 inches . And we have asked to find the circumference of the circle .

For finding circumference of circle we must have to know that what is the formula for finding circumference of circle. So :

\( \quad \quad \: \red{\underline{\pink{ \boxed{ \frak{Circumference \: of \: Circle =2 \pi r }}}}}\)

Where ,

Solution : -

As in the question we are given length of diameter . So for finding circumference we need to find the radius of circle .

We know that diameter of circle is two times its radius ,

\( \qquad \: \rm {Diameter = 2 × Radius }\)

So for radius we are dividing both side with 2 :

\(\qquad \: \rm { \dfrac{Diameter}{2} = \dfrac{ \cancel{2} × Radius}{ \cancel{2}} }\)

We get that ,

\( \qquad \: \rm {Radius = \dfrac{Diameter}{2} }\)

Therefore , we can say that radius of circle is half of its diameter .

Now using this , firstly we are finding radius of circle . So :

\( \longmapsto \quad \: \boxed{\rm{ Radius = \frac{8}{2} \: \: inches}}\)

Now , we are moving towards our final solution .

So ,

\( \longmapsto \quad Circumference_ { (Circle)} =2 \times 3.14 \times 4 \)

Multiplying 2 with 3.14 :

\(\longrightarrow \quad Circumference_ { (Circle)} = 6.28 \times 4 \)

Multiplying 4 and 6.28 :

\(\longrightarrow \quad \purple{{\boxed{\frak{Circumference_ { (Circle)} = 25.12\: inches }}}}\)

There are 8 teams left after 4 rounds.

Given that there are 128 teams entered in a basketball tournament, and half of the teams are eliminated each round, to determine how many teams are left after 4 rounds, the following calculation must be performed:

Therefore, there are 8 teams left after 4 rounds.

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Answer:

70 degrees

Step-by-step explanation:

The three partial derivatives of h(x, y, z) are:
∂h/∂x = 0
∂h/∂y = re^(ry)
∂h/∂z = -2z

The equation for the plane tangent to the function f(x, y) = cos(a * x * y) - # at the point (0, 3) can be found using partial derivatives. To do this, we need to find the partial derivatives with respect to x and y.
The partial derivative with respect to x, denoted as ∂f/∂x, measures the rate of change of the function f(x, y) with respect to x while treating y as a constant. Similarly, the partial derivative with respect to y, denoted as ∂f/∂y, measures the rate of change of f(x, y) with respect to y while treating x as a constant.
Let's find the partial derivatives:
∂f/∂x = -a * y * sin(a * x * y)
∂f/∂y = -a * x * sin(a * x * y)
To find the equation for the plane tangent to f(x, y) at the point (0, 3), we substitute the values x = 0 and y = 3 into the partial derivatives:
∂f/∂x(0, 3) = -a * 3 * sin(0) = 0
∂f/∂y(0, 3) = -a * 0 * sin(0) = 0
The equation of the tangent plane is given by:
0 * (x - 0) + 0 * (y - 3) = f(0, 3)
Simplifying, we get:
0 = f(0, 3)

Next, we set g(x, y) = r * y - ln(2r - y) and estimate g(1.1, 0.9) using a linear approximation.
To approximate g(1.1, 0.9), we first find the partial derivatives of g(x, y) with respect to x and y. Then, we substitute the values x = 1.1 and y = 0.9 into the partial derivatives:
∂g/∂x = 0
∂g/∂y = r + 1/(2r - y)
∂g/∂x(1.1, 0.9) = 0
∂g/∂y(1.1, 0.9) = r + 1/(2r - 0.9)
Using the linear approximation formula, the approximation of g(1.1, 0.9) can be calculated as:
g(1.1, 0.9) ≈ g(1, 1) + ∂g/∂x(1.1, 0.9) * (1.1 - 1) + ∂g/∂y(1.1, 0.9) * (0.9 - 1)
After calculating the values, you can substitute them into the formula to find the approximation of g(1.1, 0.9).
Now, let's move on to computing all three partial derivatives of h(x, y, z) = e^(ry) - z^2.
To find the partial derivatives, we need to differentiate h(x, y, z) with respect to each variable.
∂h/∂x = 0 (since h does not depend on x)
∂h/∂y = re^(ry)
∂h/∂z = -2z
Remember, these calculations are based on the given equations and functions provided. If there are any errors or inconsistencies in the equations, please double-check the original sources or consult your instructor for clarification.

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Answer:

To get the reciprocal of a fraction, just turn it upside down. Like this: 3. 4. A Fraction ... Convert it to an improper fraction: 213 = 6 3 + 1 3 = 7 3 2.

Step-by-step explanation:

2/13 if im correct

Step-by-step explanation:

2/13 < 1/13 < 5/13

Answer:

Umm...where is it? There is no image

Step-by-step explanation:

Translations...

How many times did it move up or down?

How many times did it move to the right or left?

Transition starters

ABCD moved ( write here the number of spaces) times to the ( left or right), and ( write the number of spaces) times to the ( top or bottom) to convert into A'B'C'D'.

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Have a supercalifragilisticexpialidocious day!