1.Find the mean of the data and round to the nearest hundredths.
2.Which reflects the best measure of the center?

Answer:

AB = 6 units

Step-by-step explanation:

Given A(8, 3 ) and B(2, 3 )

Since the y- coordinates in both points are 3 then this is a horizontal line.

The length of AB is then the difference of the x- coordinates, that is

AB = 8 - 2 = 6 units

The linear extension of l on s is {(1,3), (2,6), (5,), (1,5), (3,5)}.

The relation | on s = {1,2,3,5,6} means that two elements are related if they have the same parity (i.e., they are both even or both odd).
To find all linear extensions of | on s, we can first write down the pairs that are already related by |:
(1,3), (2,6), (5,)
We can then consider each remaining pair of elements and decide whether they should be related or not in a linear extension of |. For example, we could choose to relate 1 and 5, since they are both odd and do not currently have a relation.
One possible linear extension of | on s is:
{(1,3), (2,6), (5,), (1,5), (3,5)}

Note that there are several other possible linear extensions, depending on which pairs we choose to relate.

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Answer:

Step-by-step explanation:

Equation for this relationship:

Number of views in 5 weeks:

Answer:

y = -4x + 2

Step-by-step explanation:

To figure out the slope, plug the coordinates in the formula.

y2 - y1 / x2 - x1

= 6 - (-6) / -1 -2

= -4

Now you need to find the y-intercept, take the coordinates and plug them into your equation so far, which is y = -4x + b

y = -4x + b

-6 = -4(2) +b

-6 = -8 + b

2 = b

The likelihood or probability that the population mean evidence-based reading and writing test score of 533 will be within 10 points of the sample mean test score provided by a sample of 49 test takers is 0.274.

From the given information, we have:

The population mean, μ = 533

The sample size, n = 49

The population standard deviation, σ = 100

The standard deviation for X  is:

= 100/√49 = 14.2857142857

Normal distribution with mean 533 and SD of 12.3091

P( 523 <x< 543 )

Z = 10 ÷ 14.2857142857

Z = 0.7, - 0.7

P( z < 0.7 ) - P( z < - 0.7 )

= 0.75804 - 0.48393

= 0.27411

The required probability is 0.274.

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The complete question is mentioned below:

A certain organization reported the following scores for two parts of the scholastic Aptitude test ( SAT)

Evidence-based Reading and writing: 533

Mathematics  : 527

Assume the population standard deviation for each part is σ = 100.

What is the probability a sample of 49 test takers will provide a sample mean test score within 10 points of the population mean of 533 on the Evidence-based Reading and Writing part of the test?

The period of the function f(x) = cos(2.22x+0.19) is 2.8323 and the period of the function f(x) = sin(1.05x)  is 5.9834

The period of a trigonometric function, we use the formula:
Period = 2π/|B|
where B is the coefficient of x in the function.

For the first function, f(x) = cos(2.22x+0.19), the coefficient of x is 2.22. Therefore, the period is:
Period = 2π/|2.22| ≈ 2.8323

For the second function, f(x) = sin(1.05x), the coefficient of x is 1.05. Therefore, the period is:
Period = 2π/|1.05| ≈ 5.9834

So, the period of the first function is 2.83 and the period of the second function is 5.98. Both answers are rounded to four decimal places.

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Answer:

  x = 5 is the solution

Step-by-step explanation:

See the attachment for table values.

  f(x) = g(x) for x = 5

The solution to the equation ...

  2.5x -10.5 = 64(0.5^x)

is x = 5.

Answer:

-0.37

-2.86

0.91

0.19

1.46

Step-by-step explanation:

Density = mass/ volume

Density = 18.5 g / 2.35 cm^3

Density = 7.87 g/cm^3

US Treasury bond is the best investment choice for John in his retirement.

In order to secure a positive return without jeopardizing his investment, John should consider investing in a US Treasury bond.

As he enters retirement with a decreased income, it is crucial for him to prioritize capital preservation and minimize the risk of losing his investment.

US Treasury bonds are backed by the US government and are regarded as low-risk investments.

They offer a fixed interest rate and are considered safer compared to other options such as common stocks or corporate bonds, which involve a higher level of risk.

Preferred stocks, while relatively less risky than common stocks, may not provide the stability and security that John requires during his retirement.

Therefore, opting for a US Treasury bond aligns with his investment goals and risk tolerance.

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Answer:

y = 35x - 517.

Step-by-step explanation:

y=35x−7

This line has a slope of 35so we can write a line parallel to it as

y - y1 = 35(x - x1) where (x1, y1) is a point on the line.

We are given this point (15, 8), so:

y - 8 = 35(x - 15)

y = 35x - 525 + 8

y = 35x - 517  is the required equation.

The amount that was invested 17 years ago is $2064.25.

The interest earned is  $7935.75.

The formula that would used to determine the amount that was invested 17 years ago is:

P = FV / (1 + r)^nm

Where:

10,000 / (1.0475)^(17 x 2) = $2064.25

Interest earned = 10,000 - 2064.25 = $7935.75

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The probability shows that the expected number of cards given to people whose age matches the number on the card is 1.

How to compute the expected value?

From the information, a set of 1000 cards, numbered 1 through 1000, are distributed among 1000 people.

Let x be the random variable that's equal to the number of people who get a card.

Since we are looking for the expected value, this will be:

= E(X1 + X2 + .... X1000)

= 1

Answer:

D. Point Y should be 8 inches from point A

Step-by-step explanation:

Answer:20

Step-by-step explanation: you add 4 +4+4+4+4=20

Answer:

\( \frac{ - 4}{3} \)

p= -4/3

Answer:

-4/3

Step-by-step explanation:

17+6p = 9

6p = 9-17

6p = -8

p = -8/6

p= -4/3

The average velocity of the car between t = 5 and t = 9 = [v(9) - v(5)] / [9 - 5]= [6 - 5] / 4= 1 / 4. The average velocity of the car between t = 5 and t = 9 is 1/4 m/s.

Given, the velocity (in m/s) of a car at time t (seconds) is v(t) = t¹/2 + 3.Now, we need to find the average velocity of the car between t = 5 and t = 9.So, we can use the formula for average velocity as below: Average Velocity = [v(9) - v(5)] / [9 - 5]

Here, v(t) = t¹/2 + 3, putting t = 9, we getv(9) = 9¹/2 + 3= 3 + 3 = 6

Putting t = 5, we get v(5) = 5¹/2 + 3= 2 + 3 = 5.

So, the average velocity of the car between t = 5 and t = 9 = [v(9) - v(5)] / [9 - 5]= [6 - 5] / 4= 1 / 4

The average velocity of the car between t = 5 and t = 9 is 1/4 m/s.

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Answer:

x>125

Step-by-step explanation:

Answer:

x>125

Step-by-step explanation:

Answer:

\(2x - 35273 = 5361925 \\ 2x = 5361925 + 35273 \\ 2x = 5397198 \\ x = \frac{5397198}{2} \\ x = 2698599\)

\(\displaystyle\ 2x-35273=5361925\\\\2x=53\underline{61925}+\underline{35273} \\\\2x=5397198\\\\\\x=\frac{5397198}{2} =2698599\\\\\underline{x=2698599\qquad }\\\\2\cdot 2698599-35273=5361925\\\\5397198-35273=5361925\\\\5361925=5361925\)

Answer:

Step-by-step explanation:

Answer:

17.2x + 16.4

Step-by-step explanation:

→ Perimeter = All sides added together

8.6x + 3 + 8.6x + 3 + 5.2 + 5.2

→ Simplify

17.2x + 6 + 10.4

→ Simplify further

17.2x + 16.4

Therefore, when Savannah is 42 feet above the ferris wheel's horizontal diameter, her angle of rotation is approximately 68.6 degrees.

Given by the question.

Let's first draw a diagram to visualize the situation.

      *

    *    *

  *        * <-- Ferris wheel at 3 o'clock position

 *          *

*            * <-- Highest point

*______________*______

      62 ft

The Ferris wheel is a circle with radius 62 feet, and Savannah is sitting in a bucket that moves along the circle. When she is at the highest point, she is 62 feet away from the center of the circle, and when she is on the horizontal diameter, she is 62 feet - 42 feet = 20 feet away from the center of the circle.

To find Savannah's angle of rotation, we can use the cosine function.

cos(theta) = adjacent / hypotenuse

In this case, the adjacent side is 20 feet, and the hypotenuse is 62 feet.

cos(theta) = 20/62

To solve for theta, we need to take the inverse cosine of both sides.

theta = cos^-1(20/62)

Using a calculator, we get:

theta = 68.6 degrees

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Step-by-step explanation:

yo thara bhai joginder tu he ek bndr

Answer:

784 red grape vines

Step-by-step explanation:

There are 28 grape vines in each of the 52 rows of a vineyard. There are 24 rows of green grapes. All other rows are red grapes. How many red grape vines are in the orchard?

In a vineyard

We have 52 rows

24 rows = Green grapes

The number of red grape rows =

52 rows - 24 rows

= 28 rows.

We are told are told: There are 28 grape vines in each of the 52 rows of a vineyard.

This means

1 row = 28 grape vines

Hence, the number of red grape vines that are in the orchard

1 row = 28 grape vines

28 rows = x grape vines

x = 28 × 28 grape vines

x = 784 red grape vines

The area of the one rectangular panel is equal to 220 ft².

Mathematically, the area of a rectangle can be calculated by using this formula:

A = LW

Where:

Generally speaking, the opposites sides of a rectangle are equal;

DN = WF

12x + 4 = 20x - 8

20x - 12x = 8 + 4

8x = 12

x = 3/2.

Side DN = 12x + 4 = 12(3/2) + 4 = 22 feet.

DW = NF

5y - 5 = 2y + 4

y = 3

Side DW = 5y - 5 = 5(3) - 5 = 10 feet.

Area of rectangular panel = DN × DW

Area of rectangular panel = 22 × 10

Area of rectangular panel = 220 ft².

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To simplify the trigonometric expression, we'll use the identity:

cos²θ = 1 - sin²θ

Given:

cos θ = 1 + sin θ

We can square both sides of the equation:

(cos θ)² = (1 + sin θ)²

Using the identity, we substitute cos²θ with 1 - sin²θ:

1 - sin²θ = (1 + sin θ)²

Expanding the right side:

1 - sin²θ = 1 + 2sin θ + sin²θ

Now, we can simplify the equation:

1 - sin²θ = 1 + 2sin θ + sin²θ

Rearranging the terms:

sin²θ - sin²θ = 2sin θ + 1

Combining like terms:

-2sin²θ = 2sin θ + 1

Dividing by -2:

sin²θ = -sin θ/2 - 1/2

Therefore, the simplified expression is sin²θ = -sin θ/2 - 1/2.

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\( {c}^{2} - 5c - 8 \\ 36 - 30 - 8 \\ - 2\)