The members of an equestrian team score from 10 to 25 points per show. Their average score is 19. A new member with an
outlyng score of 4 joins the team.
Which statement describes how the new member's score will affect center and spread of the equestrian team?
The new member's score will decrease the center but increase the spread of the equestrian team.
The new member's score will decrease the center and spread of the equestrian team.
O The new member's score will increase the center and spread of the equestrian team.
O The new member's score will increase the center but decrease the spread of the equestrian team.

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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We can expect a total of 45 games during the tournament.

What is round robin scheduling?

Round robin scheduling is a way of sharing CPU time among processes in a fair and cyclic manner.

In a round-robin tournament, each player must play against every other player exactly once. So, if we have n players, then each player will play (n-1) games.

In this case, we have 10 grandmasters, so each one will play 9 games. However, we have to be careful not to count each game twice (i.e., once for each player). So, the total number of games in the tournament is:

10 players × 9 games each ÷ 2 = 45 games

Therefore, we can expect a total of 45 games during the tournament.

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The correct question is:

A chess tournament will be developed between 10 grandmasters in a round robin system. Calculate the number of games expected during the tournament.

Answer:

\( \frac{2n}{3} \)

hope, I'm right

Answer:

\( \frac{2n}{3} \)

Step-by-step explanation:

\( \frac{ \frac{n}{4} }{ \frac{3}{8} } = \frac{n}{4} \div \frac{3}{8} \)

\( \frac{n}{4} \times \frac{8}{3} = \frac{n \times 8}{4 \times 3} \)

\( \frac{n \times 2}{3} = \frac{2n}{3} \) ✅

Step-by-step explanation:

In statistics, the empirical rule states that for a normally distributed random variable,

In mathematical notation, as shown in the figure below (for a standard normal distribution), the empirical rule is described as

                             \(\Phi(\mu \ - \ \sigma \ \leq X \ \leq \mu \ + \ \sigma) \ = \ 0.6827 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi(\mu \ - \ 2\sigma \ \leq X \ \leq \mu \ + \ 2\sigma) \ = \ 0.9545 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi}(\mu \ - \ 3\sigma \ \leq X \ \leq \mu \ + \ 3\sigma) \ = \ 0.9973 \qquad (4 \ \text{s.f.})\)

where the symbol \(\Phi\) (the uppercase greek alphabet phi) is the cumulative density function of the normal distribution, \(\mu\) is the mean and \(\sigma\) is the standard deviation of the normal distribution defined as \(N(\mu, \ \sigma)\).

According to the empirical rule stated above, the interval that contains the prices of 99.7% of college textbooks for a normal distribution \(N(113, \ 12)\),

                \(\Phi(113 \ - \ 3 \ \times \ 12 \ \leq \ X \ \leq \ 113 \ + \ 3 \ \times \ 12) \ = \ 0.9973 \\ \\ \\ \-\hspace{1.75cm} \Phi(113 \ - \ 36 \ \leq \ X \ \leq \ 113 \ + \ 36) \ = \ 0.9973 \\ \\ \\ \-\hspace{3.95cm} \Phi(77 \ \leq \ X \ \leq \ 149) \ = \ 0.9973\)

Therefore, the price of 99.7% of college textbooks falls inclusively between $77 and $149.

Answer:

round to the nearest kilometer

Step-by-step explanation:

i did this answer and got it right

Answer:

Sample response: If the number in the tenths place is 5 or greater, then round the ones place up. Otherwise, the ones place stays the same.

Step-by-step explanation:

Did it on Edge 2021

Answer: The equation of a line perpendicular to 2x + 2y = - 10 that passes through the point (6, 2) is y = x - 4

Answer:

the answer is  -15 17/34, -15 ,8/20, 15 9/30

Step-by-step explanation:

pllz may i have brainliest

Answer:

-15 17/34, -15, 8/20, & 15 9/30

Step-by-step explanation:

1st: -15 17/34

2nd: -15

3rd: 8/20

4th: 15 9/30

I hope this helps you with your assignment and gl on your assignment! :D

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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Given the functions:

You need to multiply them, in order to find:

Then, you get:

In order to find the Domain, you need to remember that the Domain of a Radical Function are those input values (x-values) for which the Radicand is positive. Then, in this case, you need to set up that:

Now you have to solve for "x":

Therefore:

Hence, the answer is:

Answer:

1000 ft/min

Step-by-step explanation:

Rate of change in ft per min is 1000 ft per 1 minute from reading the graph

The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².

In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided, we have the following parameters for the equation of this circle:

By substituting the given parameters, we have:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - 1)² = 5²

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Step-by-step explanation:

I hope this answer is helpful ):

Answer:

Step-by-step explanation:

W = 4L-17

LW = 15

L(4L-17) = 15

4L^2-17L-15= 0

L = [17 ±√(17^2-4(4)(-15))]/[2(4)] = 5,-3/4

-3/4 is an extraneous solution

L = 5 cm

W = 4L-17 = 3 cm

Answer:

Step-by-step explanation

The bottle had 20 ounces that before and 8 ounces after

8+x=20

20-x=8

20-8=x

20-8=12

Answer:

\(\displaystyle \frac{cd^6}{a^4b^2}\)

Step-by-step explanation:

\(\displaystyle \frac{a^{-4}b^{-2}cd^6}{e^{-7}}\\\\=a^{-4}b^{-2}cd^6e^7\\\\=\frac{cd^6}{a^4b^2}\)

Notice that the variables with negative exponent that were originally in the denominator went to the numerator (like with \(e^{-7}\)) and became positive, and vice versa with those originally in the numerator went in the denominator (like with \(a^{-4}b^{-2}\)) and also became positive.

Step-by-step explanation:

a‐⁴b‐²cd⁶

_______

e‐⁷

cd⁶e⁷

_____

a⁴b²

Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.

Step-by-step explanation: Formula and Solving it

He Spent $2.50 on pencils.

Amount left after buying a pencil = x - 2.50

Next, he spent half of the amount left in his pocket.

He spent (x - 2.50)/2 on notebook and paper.

So the total amount he spent = 2.50 + (x -2.50)/2

Amount left when he got home =$ 5.00

That means, x - Total amount spent = 5

=> x - (2.50 + (x -2.50)/2 ) = 5

=> x - 2.50 -x/2 + 2.50/2 = 5

=> x/2 - 2.50/2 = 5

=> x/2 = 5 + 2.50/2

=> x/2 = 6.25

=>x = $12.5

Answer:

\(V = 208\,u^{3}\) (Option C)

Step-by-step explanation:

The volume of the composite figure is:

\(V = \frac{1}{2}\cdot (3\,u)\cdot (4\,u)\cdot (8\,u) + (5\,u)\cdot (4\,u)\cdot (8\,u)\)

\(V = 208\,u^{3}\) (Option C)

Answer: 156.38 m

Step-by-step explanation:

Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)

Answer:

3х<18

х<6

хє(-infinity ;6);

Answer:

x<6

Step-by-step explanation:

3x+4<22

First, subtract 4 from both sides of the inequality.

3x-4<22-4

This cancels out the 4, so the 3x is isolated

3x/3<18/3

Finally, simplify to get the answer.

x<6

please mark as brainliest!!

Answer:

See Explanation for proofs

Step-by-step explanation:

Given

See attachment for complete question

Solving (a):

\(\frac{\sqrt{2}}{2}\) is irrational

\(\sqrt{2} =1.41421356237.....\)

So, we have:

\(\frac{\sqrt{2}}{2} = \frac{1.41421356237.....}{2}\)

\(\frac{\sqrt{2}}{2} = 0.70710678118....\)

\(0.70710678118....\) can not be represented as a fraction of whole numbers.

Hence:

\(\frac{\sqrt{2}}{2}\) is irrational

Solving (b):

\(\sqrt{2} -2\) is irrational

\(\sqrt{2} =1.41421356237.....\)

So, we have:

\(\sqrt{2} -2 = 1.41421356237..... - 2\)

\(\sqrt{2} -2 = -0.58578643763.....\)

\(-0.58578643763.....\) can not be represented as a fraction of whole numbers.

Hence:

\(\sqrt{2} -2\) is irrational

Solving (c):

The sum of two positive irrational number is always irrational

Proof Below

If a is irrational and b is also irrational,

then

\(a + b = irrational\)

Take for instance:

\(a = \sqrt{2\)

\(b = \sqrt{8\)

\(a + b = \sqrt{2} + \sqrt{8\)

\(a + b = \sqrt{2} + \sqrt{4*2\)

\(a + b = \sqrt{2} + \sqrt{4}*\sqrt{2\)

\(a + b = \sqrt{2} + 2\sqrt{2\)

\(a + b = 3\sqrt{2\)

\(3\sqrt{2\) is irrational and this is true for the sum of every positive irrational numbers

Solution

Step 1:

Properties of Parallelograms Explained

1. Opposite sides are parallel. ...

2. Opposite sides are congruent. ...

3. Opposite angles are congruent. ...

4. Same-Side interior angles (consecutive angles) are supplementary. ...

5. Each diagonal of a parallelogram separates it into two congruent triangles. ...

6. The diagonals of a parallelogram bisect each other.

Step 2:

The diagonals of a parallelogram bisect each other.

Step 3

Step 4

Final answer

Answer:

Step-by-step explanation:

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards.  One rushed 4 times as many yards as the other.  Let x and y represent the number of yards each individual player rushed. this is the equation that was used

         x + y = 1550

         y  = 4x

Step-by-step explanation:

Volume is = 4ft × 4ft × 8ft

= 128 cubic feet

p/q = (2x^3+1)/2x^3, which implies that p = 2x^3+1 and q = 2x^3.  p + q = 2x^3+1 + 2x^3 = 3x^3.

Let a and b be positive integers satisfying (ab+1)/(a+b) < 3/2. The maximum possible value of (a^3b^3+1)/(a^3+b^3) is given by the equation p/q, where p and q are relatively prime positive integers. We can expand the numerator and denominator as follows: a^3b^3+1 = a^3b^3 + a^3 + b^3 and a^3+b^3 = a^3 + a^2b + ab^2 + b^3. Therefore, the expression is equal to (a^2b^2+a^2+ab+1)/(a^2b+ab^2+1). Since (ab+1)/(a+b) < 3/2, we have (ab+1)/(a+b) < 5/3 and (a^2b^2+a^2+ab+1)/(a^2b+ab^2+1) < 5/3.To find the sum of p and q, we can use the fact that the maximum value occurs when a and b are equal. Thus, setting a = b = x, we have (x^3x^3+1)/(x^3+x^3) = (x^6+1)/2x^3 = (2x^3+1)/2x^3. Thus, p/q = (2x^3+1)/2x^3, which implies that p = 2x^3+1 and q = 2x^3. Therefore, p + q = 2x^3+1 + 2x^3 = 3x^3.

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Answer:

irrational

Step-by-step explanation:

every number that times with pi are irrational, only zero gives a rational number

Answer: slope = 3/4

Step-by-step explanation: 3 up and 4 to the right so the fraction(slope) is 3/4

Answer:

39 3/8 ft ^2

Step-by-step explanation:

To find the area of a rectangle, multiply the length times the width.

A = l*w

  = 7 1/2  * 5 1/4

Change the mixed numbers to improper fractions.

A = 15/2 * 21/4

    =315/8

Change back to a mixed number.

8 goes into 315 39 times with 3 left over.

 = 39 3/8

Answer:

(you can round to 39.4)

Step-by-step explanation:

Find the area of the rectangle shown

7 1/2 ft

5 1/4ft

7 1/2 = 7.5 ft

5 1/4 = 5.25 ft

Area = L x W

Area = 7.5 x 5.25

Area = 39.375