ASAP like now I need help

The probability of getting a total of 17 is then 6/2197, which simplifies to approximately 0.00273, or 0.273%.

To find the probability of getting a total of 17 when spinning the roulette wheel three times and getting a 2 on the first spin, we need to consider all possible outcomes.

Since we already know that the first spin is a 2, we have two more spins remaining. The remaining spins can result in numbers ranging from 0 to 12.

To get a total of 17, we need the sum of the three spins to be 17. We can calculate the probability by finding the favorable outcomes (combinations of numbers that sum up to 17) and dividing it by the total number of possible outcomes.

Possible combinations that sum up to 17 are:

2 + 7 + 8

2 + 8 + 7

7 + 2 + 8

7 + 8 + 2

8 + 2 + 7

8 + 7 + 2

So, there are six favorable outcomes.

The total number of possible outcomes is given by the product of the number of options for each spin, which is 13 options for each spin (0 to 12).

Therefore, the total number of possible outcomes is 13 * 13 * 13 = 2197.

= 6/2197

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The radius of the circle which is overlapping the square is 1.12.

The length of side of the square is 2. Let us say that the radius of the circle is R.

The circle and the square are overlapping on each other.

The area of the region that are outside the circle but inside the square are equal to the area of the region which are inside the circle but outside the square.

Let us name the area of the region that are outside the circle but inside the square as M.

Let us name the area of the region which are inside the circle but outside the square as N.

Let us say that the area that is common in both is C.

The area of the square is 4.

So, according to the question,

M + C = 4

And,

N + C = πR²

And we know, M = N,

So,

C - πR² = C - 4

R = 2/√π

R = 1.12.

So, the radius of the circle is 1.12

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Point A is arbitrarily located. We have drawn the circle on a grid, so have made points A and E on orthogonal axes through point O.

1. Point B can be anywhere on the circle except on line AO.

2. Making circle A have the same radius as circle O puts points C and D 120° apart.

3. In this diagram, OF bisects right angle EOA, so central angle EOF is 45°.

Answer:

50% is 1/2 as a fraction

Step-by-step explanation:

50% = 50/100 = 1/2

Answer:

1/2

Step-by-step explanation:

Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore 50% can be written as: 1/2

Given margin of error increases as the margin of error increases.

To obtain a 3 percent margin of error at a 90% level of confidence, a sample size of about 750 is required. The sample size would be about 1,000 for a 95% level of confidence. Calculating the margin of error for various confidence levels is straightforward.

The ideal sample size for a population of 5,000 people has a 95% degree of confidence and a 5% margin of error, and it is 357. You may calculate this using our online calculator. This number can be used as a sample as well. It displays how many.

∴ For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error increases as the margin of error increases.

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Answer:

Step-by-step explanation:

The dog's route and final facing direction are shown in the attached diagram.

The sequence of facing directions for right turns is ...

  {N, E, S, W, N}

The sequence of facing directions for left turns is the reverse:

  {N, W, S, E, N}

In total, the dog made 3 right turns and 2 left turns. The net change in facing direction is 3-2 = 1 right turn. The dog's initial facing direction is north, so its final facing direction is east, one right turn from north.

The distances traveled are ...

  N 4, E 1, S 5, E 2, N 5.

The net change in position is north (4-5+5) = 4 miles, and east (1 +2) = 3 miles. The distance between the final point and the initial point is the hypotenuse of a right triangle with legs 4 miles and 3 miles. The Pythagorean theorem tells us that distance is ...

  c² = a² +b²

 c = √(a² +b²) = √(4² +3²) = √25 = 5

The smallest distance between the dog's final and initial points is 5 miles.

Answer:

3x^2-8x+4

Step-by-step explanation:

Using the discounted amount and percentage, the actual price is £21.25

Let's first calculate the price of the trainers after the discount.

The trainers were priced at £38, and there was a 15 percentage loyalty discount. To calculate the discounted price, we need to subtract 15% of £38 from £38.

Discounted price of the trainers = £38 - (15/100) * £38

Discounted price of the trainers = £38 - 0.15 * £38

Discounted price of the trainers = £38 - £5.70

Discounted price of the trainers = £32.30

Now, we know that the total price for the watch and trainers combined after the discount is £53.55.

Total price after discount = Price of the watch + Discounted price of the trainers

£53.55 = Price of the watch + £32.30

To find the price of the watch, we subtract the discounted price of the trainers from the total price:

Price of the watch = £53.55 - £32.30

Price of the watch = £21.25

Therefore, the price of the watch before the discount is £21.25.

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The value of (5.3 x 10^4) multiplied by (4.2 x 10^3) in scientific notation is 2.226 x 10^8.

To calculate the value of (5.3 x 10^4) multiplied by (4.2 x 10^3), we can multiply the numerical values and add the exponents of 10.

First, multiply the numerical values: 5.3 x 4.2 = 22.26.

Next, add the exponents of 10: 10^4 x 10^3 = 10^(4+3) = 10^7.

Combining the numerical value and the exponent of 10, we get the final result: 22.26 x 10^7.

To convert this result into scientific notation, we adjust the decimal point to have one digit before it. In this case, we move the decimal point one place to the left, resulting in 2.226.

Since we moved the decimal point one place to the left, we need to increase the exponent of 10 by 1. Therefore, the final answer in scientific notation is 2.226 x 10^8.

Thus, the value of (5.3 x 10^4) multiplied by (4.2 x 10^3) in scientific notation is 2.226 x 10^8.

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Answer: 3

Step-by-step explanation:

Answer: 3

Step-by-step explanation: the equation is the question. XD

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

Answer: 15/7 2 1/7

Step-by-step explanation: First divide 8x-3=x+12 Then add 3 to both sides.

8x=x+15 Subtract x from both sides. 7x=15 Then divide again so 7/7 and 15/7. If you simplify it become 2 1/7

Answer:

x = 15/7

Step-by-step explanation:

Reduce the fraction with 2

8x - 3 = x + 12

Move variable to the left-hand side and change its sign

8x - x - 3 = 12

Move constant to the right-hand side and change its sign

8x - x = 12 + 3

collect like terms

7x = 12 + 3

Add the numbers

7x = 15

Divide both sides of the equation by 7

Solution: x = 15/7

Alternate form

x = 2 1/7, x = 2.142857

Answer:

11.020

Step-by-step explanation:

vol of l.supe = k(lochness)

88.21 * 10^10 = k( 7.45 * 10^9)

divide and k =11.020

in fraction = 1642/149

Answer:

can't help you at all sike I lied

Answer:

All of them increase or decrease at a constant rate except for the table that ends with x as 3 and y as 10 I think it is C

Table C contains a set of non-linear ordered pairs

Step-by-step explanation:

Answer:

i need help too

Step-by-step explanation:

Answer:

answer is 2

Step-by-step explanation:

20/10

divide both answers by ten

2/1

then one is meaningless so u remove it

If  a deadly disease infected the hummingbird population, what would most likely happen to the plants option (b) They would become endangered

If a deadly disease infected the hummingbird population, it would most likely lead to a decrease in the pollination of plants that rely on hummingbirds for pollination. Without the hummingbirds to transfer pollen between flowers, these plants would have a reduced rate of successful pollination, which would result in a decrease in their ability to reproduce.

However, it is unlikely that the plants would die within hours or become endangered immediately, nor would they need to migrate. The effect of the loss of hummingbird pollinators on the plants would depend on the specific plant species, their pollination requirements, and the availability of alternative pollinators. Some plants may be more adaptable to using alternative pollinators, while others may suffer more severe consequences. It is also possible that the loss of hummingbirds could lead to a decline in the populations of other animals that depend on the plants, creating a ripple effect in the ecosystem.

Therefore, the correct option is (d) They would become endangered

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Answer:

To simplify the expression (3x + 2) + (-6x + 3), we can combine like terms (terms with the same variable and exponent).

(3x + 2) + (-6x + 3) = 3x - 6x + 2 + 3 // Distribute the negative sign on the second term

= -3x + 5

Therefore, the simplified expression is -3x + 5.

Answer:

-3x + 5 is your answer

Step-by-step explanation:

Answer:

C≥12,E≥6,C+E≤26

Step-by-step explanation:

i just took the quiz and got it right

The system of inequalities will be C≥12, E≥6, and C+E≤26. Then the correct option is A.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The Inequality to graduate you must take at least 12 core credits,

C≥12

The Inequality to graduate you must take at least 6 electives credits,

E≥6

No more than a total of 26 credits for both core and electives.

C+E≤26

Hence, the correct option is A.

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Answer:

\(\dfrac{y^2}{64}-\dfrac{x^2}{9}=1\) .

Step-by-step explanation:

Since vertices lie on y-axis. So, it is a vertical parabola of the form

\(\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1\)

where, (h,k) is center, \((h,k\pm c)\) is focus and \((h,k\pm a)\) is vertex.

Center is (0,0). So, h=0 and k=0.

Foci are \((0,\pm \sqrt{73})\). So \(c=\sqrt{73}\).

Vertices are \((0,\pm 8)\). So \(a=8\).

We know that,

\(a^2+b^2=c^2\)

\(8^2+b^2=(\sqrt{73})^2\)

\(b^2=73-64\)

\(b=3\)

Put h=0,k=0, a=8 and b=3 in equation (1).

\(\dfrac{(y-0)^2}{8^2}-\dfrac{(x-0)^2}{3^2}=1\)

\(\dfrac{y^2}{64}-\dfrac{x^2}{9}=1\)

Therefore, the required equation is \(\dfrac{y^2}{64}-\dfrac{x^2}{9}=1\) .

Answer:

C) The resulting figure will be congruent to the original rectangle, because dilations with a scale factor of 1 have the same coordinates.

Step-by-step explanation: Multiplying any number by 1 will result in the same number, this applies to coordinates as well.  

Use the Pythagorean theorem:

Height is 14, base is 3, so we can calculate the length required.

Length = sqrt(14^2 + 3^2)

Length = sqrt( 196 + 9)

Length = sqrt(205)

Length = 14.32 feet.

The ladder needs to be 14.32 feet. The longest her ladder can be is 14 feet so her ladder won’t work.

Answer:

14.32 is ur awnser

Step-by-step explanation:

(a) True. This statement is valid because the inequality a < b is satisfied when a is strictly less than b. Since a < b + ε for every ε > 0, it follows that a is less than b.

(b) False. This statement is false because it implies that a < b for every ε > 0, when this is not necessarily true. For example, if a = 0 and b = 1, then a < b + ε is true for every ε > 0, but a < b is not true.

(c) True. This statement is valid because it states that the inequality a ≤ b is satisfied when a is less than or equal to b. Since a < b + ε for every ε > 0, it follows that a is less than or equal to b.

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Answer:

The given equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

Comparing this with the given equation:

y = x - 2

We can see that the slope (m) is 1 and the y-intercept (b) is -2.

The slope of the line segment is 3/5. Your answer is A) 3/5.

To find the slope of the line segment given by the parametric equations, we need to find the slope of the line passing through the two endpoints of the segment.

When t = -3, x = 5(-3) + 2 = -13 and y = 3(-3) = -9. So the first endpoint is (-13, -9).

When t = 3, x = 5(3) + 2 = 17 and y = 3(3) = 9. So the second endpoint is (17, 9).

The slope of the line passing through these two points is:

slope = (y2 - y1)/(x2 - x1) = (9 - (-9))/(17 - (-13)) = 18/30 = 3/5


So, the slope of the line segment is 3/5. Your answer is A) 3/5.

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Option D. 1 + 1/s is the correct choice for a PI controller that has the minimum impact on the root loci of the system.

To minimize the impact of a proportional plus integral (PI) controller on the root loci of a system, the controller should introduce a pole at the origin (s=0) and a zero at a distant location from the origin.

Among the given options, the controller that fits this purpose is D. 1 + 1/s.

The PI controller in option D has a constant term of 1, which introduces a pole at the origin (s=0). It also has a term of 1/s, which introduces a zero at s=infinity, which is a distant location from the origin.

By having a pole at the origin and a zero at a distant location, the PI controller in option D minimizes the impact on the root loci of the system. This configuration ensures stability and avoids significant changes in the system's dynamic behavior.

Therefore, option D. 1 + 1/s is the correct choice for a PI controller that has the minimum impact on the root loci of the system.

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What is Symmetry ?

In common parlance, the term "symmetry" describes a sense of lovely proportion and balance. A more exact meaning of "symmetry" can be found in mathematics, where it typically refers to an object that is unaffected by certain transformations like translation, reflection, rotation, or scaling.

A definition of symmetry in mathematics states that whether one shape is moved, rotated, or flipped, it exactly resembles the other shape. Just fold the paper, draw one-half of the heart at the fold, then cut it out to discover that the other half exactly matches the first half when you are instructed to cut out a "heart" from a piece of paper. The heart-shaped carving is an illustration of symmetry. Symmetry is defined in mathematics as "a mirror image." Symmetry is the property of an image that remains unchanged after a shape has been rotated or flipped. There are patterns in it. You may have heard the word "symmetry" quite a bit in modern times.

(A)

Any two indices will do i!=j Paul's time and the time of the ith runner are equally distributed and independent, hence according to the Symmetry, p (Ai) = p(Aj)= 1/2. Consider the intersection of Ai and Aj. Thus, Paul is outpaced by both runners I and j. There are 6 possible permutations of their times because they are i.id, with Paul being the slowest. P(Ai intersection Aj) hence equals 1/3.

But now wе have that P(Ai intersection Aj)= 1/3 != 1/4 = P(Ai)P(Aj)

thus, events They are not autonomous, Ai and Aj. However, they are only somewhat independent given Paul's timing. Paul can be removed from the narrative if such is the case. Then, only these two runners are left. Events As a result of their independent and equal distribution of times, Aj and AI are independent.

(B)

Define Ij as the random variable indication that indicates whether or not the jth runner is superior to Paul. via means of symmetry. We know p(Ij = 1)=1/2.

We determine that 

E(N) = E(I1+I2 +.......In) 

= nE(i1) 

=nP(I1-1) 

=n/2

using the linearity of expectation.

(C)

Paul's estimated time of completion is t The probability that each runner will finish ahead of Paul is P (time of rumer I t) = F. (t)

By using part (a), we can determine that other runners' times are independent of Paull's time, and that the number of runners who finish faster than Paul has a binomial distribution with the parameters n and F. To come to the conclusion that N/T= t Binom (n, F(t)) and if we choose T at random, N/T Binom (n, F(T)),

(D)

Let's figure out Var (N)

Var (N)=F(Var (N/T)) + Var(E(N/T))

= E(n F(T) (1- F(T)) + Var(on F(T))

according to Eve's Law.

Here, we can use the uniform distribution's universality to produce

F(T) ~Unif (0, 1) = U

Hence symmetry, which states that U I-U, leads to

Var(N) = nE(U2) + n2 var (U)

=n/3 + n2/12,

where E(U2)=1/3

Var(U)=1/12.

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