Sample standard deviation for
283​,269,259,265,256,262,268

Great question! A midpoint is exactly what it sounds like; the point in the middle of two objects (in this case it's the middle of these two coordinates). Another way to think of the middle of something in math is by using the average. To find the midpoint of two points, we just find the average of the x-values and the average of the y-values:

((x1 + x2)/2 , (y1 + y2)/2)

((5 + -13) / 2 , (-4 + 12) / 2)

( -8 / 2 , 8 / 2)

(-4 , 4)

Answer:

142.55

Step-by-step explanation:

Answer:4

Step-by-step explanation:3-8=-5. But because it is in absolute value, it would be positive 5. And then 5-1=4.

The pie chart represents the proportions of different types of drinks sold at Kendo's beverage booth. The proportions are as follows: 2 times as many of one type, 4.5 times as many of another type, 1.5 times as many of another type, and 3.5 times as many of another type.

Based on the information provided, we can interpret the pie chart as showing the relative quantities of different types of drinks sold at Kendo's beverage booth. Let's assign variables to represent the quantities of each type of drink.

Let's say the quantity of the first type of drink is x. According to the pie chart, the second type of drink is sold in 2 times as many quantities, so its quantity would be 2x. Similarly, the third type of drink is sold in 4.5 times as many quantities, so its quantity would be 4.5x. The fourth type of drink is sold in 1.5 times as many quantities, making its quantity 1.5x. Finally, the fifth type of drink is sold in 3.5 times as many quantities, so its quantity is 3.5x.

To find the exact quantities of each type of drink, we need additional information or values. The given information only states the proportional relationships between the quantities.

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Answer:

15: 1 3 5 15

20: 1 2 4 5 10 20

Step-by-step explanation:

This assumes you are only factoring the coefficients of the expression.  Using this assumption, we simply create a list of factors of the coefficients.

15 -> 1 * 15, 3 * 5 --> 1 3 5 15

20 -> 1 * 20, 2 * 10, 4 * 5 --> 1 2 4 5 10 20

If you don't assume factoring of just the coefficients, then 20x factors

20x:  1 2 4 5 10 20 x

Cheers.

Answer:

b

Step-by-step explanation:

The critical value that should be used in constructing the confidence interval is ( 1.592, 1.807 ).

Given that;

Number of residents, n = 7

Z*- value of 90% confidence level equals z* = 0.79

Mean x = 1.7 and deviation σ = 0.36

What is the standard deviation?

Standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean.

Now,

Number of residents, n = 7

Z*- value of 90% confidence level equals z* = 0.79

Mean x = 1.7 and deviation σ = 0.36

The confidence interval for mean waste recycled per person is

\((x-z^{*} \frac{sigma}{\sqrt{n} } ; x+z^{*} \frac{sigma}{\sqrt{n} } )\)

\((1.7 - 0.79*\frac{0.36}{\sqrt{7} } ; 1.7 + 0.79*\frac{0.36}{\sqrt{7} })\)

\((1.592, 1.807)\)

Hence, the critical value that should be used in constructing the confidence interval is ( 1.592, 1.807 ).

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The value of x is 9°

What do you mean by degree?

A unit of measure is used to measure the magnitude of an angle.

1 degree equals 1/360 of a complete revolution in magnitude.

Given that:

ΔUVW with side UW extended to X

m ∠UVW = (3x + 4)°

m ∠VWX = (8x -12)°

m ∠WUV = (x + 20)°

We know that ,

Sum of angles of triangle = 180°

m ∠UVW + m ∠WUV  + m ∠VWU = 180°

m ∠VWU = 180° - (m ∠UVW + m ∠WUV)

Also we know that sum of angles on a straight line

m ∠VWX and m ∠VWU are supplementary angles

m ∠VWX + m ∠VWU = 180°

m ∠VWU = 180° - m ∠VWX

m ∠VWX = (m ∠UVW + m ∠WUV)

Substituting the given values , we get

(8x -12)° = (3x + 4)° + (x + 20)°

8x - 3x - x = 4 + 20 + 12

           4x = 36

             x = 36/4 = 9

             x = 9°.

Therefore , The value of x is 9°

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Answer:

88 Flowers

Step-by-step explanation:

Answer:

b.16

hope this helps

\('-' )/

Answer:

answer is -9

Step-by-step explanation:

5(x+1)=4(x-1)x

5x+5=4x-4+x

5x+5=4x+x-4

5x+5=5x-4

5x-5x=-4-5

x=-9

Yes, it is possible to find a function \( f(t, x) = 1 \) that is continuous and has continuous partial derivatives, making \( x_1(t) = t \) and \( x_2(t) = \sin(t) \) solutions to \( x' = f(t, x) \) near \( t = 0 \).

Certainly! We can find a function \( f(t, x) = 1 \) that satisfies the given conditions. Let's consider the differential equation \( x' = f(t, x) \), where \( x' \) represents the derivative of \( x \) with respect to \( t \). For \( x_1(t) = t \) and \( x_2(t) = \sin(t) \) to be solutions near \( t = 0 \), we need \( x_1'(t) = 1 \) and \( x_2'(t) = \cos(t) \) respectively.

Since \( f(t, x) = 1 \), it matches the derivatives of both \( x_1(t) \) and \( x_2(t) \) with respect to \( t \). The function \( f(t, x) = 1 \) is continuous and has continuous partial derivatives, making it a valid choice. Thus, \( x_1(t) = t \) and \( x_2(t) = \sin(t) \) satisfy \( x' = f(t, x) \) near \( t = 0 \).

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250=12x

250/12=20.8

12/12=1

20.8 x 1 = 20.8

Answer:

y=-12x+250

If you graph it you will get that it only lasts for 20.833 days

Step-by-step explanation:

The minus twelve is the twelve pounds they eat per day, the positive 250 is the amount of food they start with. If you graph the above equation in desmos you should get the right graph if you need it. But it should last 20.833 (or just round to 21) days.

Answer: u have perpendicular lines

Step-by-step explanation: Hope this helps :)

Answer:

1

Step-by-step explanation:

m=2

3m²- 2m- 7

3(2)² -2(2) -7

3(4)- 4- 7

12- 4- 7= 1

(a) Base case: n = 21. Inductive step: Assume true for k, prove for k + 1. Therefore, by mathematical induction, the statement holds.(b) Base case: n = 2. Inductive step: Assume true for k, prove for k + 1. Therefore, by mathematical induction, the statement holds



(a) To prove the statement that (n^2) - (17n) holds for all integers n ≥ 21, we use mathematical induction.

Base case: For n = 21, (21^2) - (17*21) = 441 - 357 = 84, which is true.

Inductive step: Assume that the statement holds for some k ≥ 21, i.e., (k^2) - (17k) is true.

Now we need to prove it for k + 1, i.e., ((k + 1)^2) - (17(k + 1)).

Expanding and simplifying, we get (k^2) - (17k) + 2k - 17.

Using the assumption that (k^2) - (17k) holds, we substitute it and obtain 2k - 17.

Now, we need to show that 2k - 17 ≥ 0 for k ≥ 21, which is true.

Therefore, by mathematical induction, the statement (n^2) - (17n) holds for all integers n ≥ 21.

(b) To prove that tn ≤ 3 - 2 holds for all integers n ≥ 2 in the recursively defined sequence tn = 3tn-1 + 4, we use mathematical induction.

Base case: For n = 2, t2 = 3t1 + 4 = 3(1) + 4 = 7, which is less than or equal to 3 - 2.

Inductive step: Assume that the statement holds for some k ≥ 2, i.e., tk ≤ 3 - 2.

Now we need to prove it for k + 1, i.e., tk+1 ≤ 3 - 2.

Substituting the recursive formula, we have tk+1 = 3tk + 4.

Using the assumption tk ≤ 3 - 2, we get 3tk ≤ 3(3 - 2) = 3 - 2.

Adding 4 to both sides, we have 3tk + 4 ≤ 3 - 2 + 4 = 3 - 2.

Therefore, by mathematical induction, the statement tn ≤ 3 - 2 holds for all integers n ≥ 2 in the sequence tn = 3tn-1 + 4.

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The best prediction of the number of tagged salmon in a sample of 2000 is 100.

The best prediction of the number of tagged salmon in a sample of 2000 returning salmon can be estimated using the proportion of tagged salmon in the sample of 400.

The proportion of tagged salmon in the sample of 400 is \((\frac{20}{400} )=(\frac{1}{20} )\).

We can use this proportion:

To estimate the number of tagged salmon in a sample of 2000:

Tagged salmon in a sample of 2000 = \((\frac{1}{20}) * 2000\) = 100

Therefore, the best prediction of the number of tagged salmon in a sample of 2000 is 100.

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Answer: y = $50x + $25

Step-by-step explanation:

      First, let x be equal to the hours of service and y be the total cost. Since the cost is 50 dollars per hour of service, we will write this as "y = 50x" for our equation.

      Next, there is a 25-dollar charge for each call. We will add this to our equation as "y = 50x + 25."

Our equation is;

      y = $50x + $25

Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

The four adjacent square numbers with a diagonal sum of 45 are 2^2, 3^2, 4^2, and 5^2, which are 4, 9, 16, and 25.

To find the four adjacent square numbers with a diagonal sum of 161, we can start by considering the square numbers. Let's call the four numbers x^2, (x+1)^2, (x+2)^2, and (x+3)^2. The diagonal sum can be expressed as: x^2 + (x+1)^2 + (x+2)^2 + (x+3)^2 = 161. Simplifying the equation: x^2 + (x^2 + 2x + 1) + (x^2 + 4x + 4) + (x^2 + 6x + 9) = 161; 4x^2 + 12x + 14 = 161; 4x^2 + 12x - 147 = 0. Using the quadratic formula, we can solve for x: x = (-12 ± √(12^2 - 44(-147))) / (2*4); x = (-12 ± √(144 + 2352)) / 8; x = (-12 ± √2496) / 8

x = (-12 ± 49.96) / 8.  Solving for x, we have two possible solutions: x = 4 or x ≈ -9.496. Since we are looking for positive square numbers, we can discard the negative solution. Therefore, the four adjacent square numbers with a diagonal sum of 161 are 4^2, 5^2, 6^2, and 7^2, which are 16, 25, 36, and 49.

To find the four adjacent square numbers with a diagonal sum of 45, we can follow the same approach. The equation would be: x^2 + (x+1)^2 + (x+2)^2 + (x+3)^2 = 45. Simplifying this equation and solving for x, we find that x = 2. Therefore, the four adjacent square numbers with a diagonal sum of 45 are 2^2, 3^2, 4^2, and 5^2, which are 4, 9, 16, and 25. To find three adjacent vertical numbers that add up to 156, we need more information about the arrangement of the numbers. Please provide additional details or context about the arrangement of the numbers so that we can solve the problem accurately.

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Answer:

no because she would get the same total if she added it before or after

Step-by-step explanation:

The answer to the nearest tenth of a second is 40.0 seconds.

To solve this problem, we need to know the length of the perimeter of a baseball field. According to official regulations, the distance between each base is 90 feet, so the perimeter of a baseball field is 360 feet.

Now, we can use the formula distance = rate x time, where distance is 360 feet, and rate is 9 feet per second. We can solve for time by dividing both sides of the equation by the rate:

time = distance / rate
time = 360 / 9
time = 40 seconds

Therefore, it takes you 40 seconds to run the perimeter of the baseball field. To find the answer to the nearest tenth of a second, we need to round the answer. Since the next decimal place after the tenths is a hundredth, we need to look at the second decimal place. If it is 5 or greater, we round up, otherwise, we round down. In this case, the second decimal place is 0, so we round down. Therefore, the answer to the nearest tenth of a second is 40.0 seconds.

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Answer:

-3

-12

-5

Step-by-step explanation:

A negative number with another negative symbol put onto it is positive because both negative symbols cancel each other out

So -(-3) = 3

-(-12) = 12

-(-5) = 5

The following ordered pair is given as {(1, -1), (2,0), (3,1)} for the given data of movement of arrow.

A set comprises elements or members that can be mathematical objects of any sort, including numbers, symbols, points in space, lines, other geometric forms, variables, or even other sets. A set is the mathematical model for a collection of various things.

An ordered pair consists of two items. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples, or 2-length sequences.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it might be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers.

The following ordered pair is given as {(1, -1), (2,0), (3,1)} for the given data of movement of arrow.

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Answer:

D

Step-by-step explanation:

Using degree of freedom,

Two degrees of freedom would we report when we report the results of our study is (2,24).

Degree of freedom:

The statistical degrees of freedom (DF) indicate the number of independent values that can be changed in the analysis without violating the constraints.

degrees of freedom is the number of independent values that can be estimated in a statistical analysis. It can also be thought of as the number of values that are free to vary when estimating the parameters

DF = N – P

Where:

N = sample size

P = the number of relationships

We given that,

Number of groups , k = 3

Number of total participants, n = 27

Degrees of freedom for F-test is F(k-1,n-k)

= F(3-1 , 27-3)

= F(2,24)

Hence, (2,24,) are required two degrees of freedom.

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In this case, the terminal point of theta/2 can be determined using the following steps:

Since cos(theta/2) < 0 and the cosine function has a range of [-1, 1], it follows that theta/2 must be in the second or third quadrant (90 degrees to 180 degrees or 180 degrees to 270 degrees).

To find the terminal point of theta/2, we can use the formula for converting from polar to Cartesian coordinates: x = rcos(theta) and y = rsin(theta), where (x,y) is the Cartesian coordinates of the terminal point, r is the radius, and theta is the angle in radians.

In this case, the radius is 1 (since the terminal point is on the unit circle) and the angle is theta/2. Substituting these values into the formulas above, we get:

x = 1 * cos(theta/2)

y = 1 * sin(theta/2)

To find the values of cos(theta/2) and sin(theta/2), we can use the identity cos(theta/2) = sqrt((1 + cos(theta))/2) and sin(theta/2) = sqrt((1 - cos(theta))/2).

Substituting the given value of cos(theta) (-1/9) and the identities above into the formulas for x and y, we get:

x = sqrt((1 + (-1/9))/2) = -sqrt(2)/3

y = sqrt((1 - (-1/9))/2) = sqrt(8)/3

Thus, the coordinates of the terminal point of theta/2 are (-sqrt(2)/3, sqrt(8)/3).

The terminal point (a₁, a₂) for theta/2 is (-2/3, √(5) / 3).

To find the terminal point (a₁, a₂) of theta/2, use the half-angle identity for cosine:

cos(theta/2) = ± √((1 + cos(theta)) / 2)

Given that cos(theta) = -1/9 and cos(theta/2) < 0, the negative sign should be used in the half-angle identity.

Calculate cos(theta/2):

cos(theta/2) = - √((1 + cos(theta)) / 2)

cos(theta/2) = - √((1 - 1/9) / 2)

cos(theta/2) = - √((8/9) / 2)

cos(theta/2) = - √(8/18)

cos(theta/2) = - √(4/9)

cos(theta/2) = - 2/3

Cos(theta/2) = -2/3. To find the terminal point (a₁, a₂), determine the values of a₁ and a₂.

Since cos(theta/2) is negative, a₁ is negative. To find the value of a₂, use the Pythagorean identity:

cos²(theta/2) + sin²(theta/2) = 1

Since cos(theta/2) = -2/3, calculate sin(theta/2):

sin²(theta/2) = 1 - cos²(theta/2)

sin²(theta/2) = 1 - (-2/3)²

sin²(theta/2) = 1 - 4/9

sin²(theta/2) = 5/9

sin(theta/2) = ± √(5/9)

sin(theta/2) = ± √(5) / 3

Since theta is in the second quadrant (cos(theta) = -1/9), sin(theta) is positive in the second quadrant. Therefore, sin(theta/2) = √(5) / 3.

Now, sin(theta/2) = √(5) / 3.

So, the terminal point (a₁, a₂) for theta/2 is (-2/3, √(5) / 3).

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The amount of money Clint will plan to spend to replace the floors is $17404.09

The hardwood floor is rectangular.

Therefore,

area of hallway = 18 × 6 = 108 ft²

area of the kitchen = 20 × 30 = 600 ft²

area of the living room = 25 × 45 = 1125 ft²

area of each bedroom = 12 × 16 = 192 ft²

area of master bedroom = 14 × 20 = 280 ft²

Hence,

cost of flooring per square foot is $5.48

total cost for flooring = 108(5.48) + 600(5.48) + 1125(5.48) + 192(5.48) + 192(5.48) + 280(5.48) = $13683.56

Cost of installation is $1.49 per square.

total cost of installation = 108(1.49) + 600(1.49) + 1125(1.49) + 192(1.49) + 192(1.49) + 280(1.49) = $3720.53

Total  amount to replace the floor = 13683.56 + 3720.53 = $17404.09

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There is a 0.9815 percent chance of probability a television is not broken.

Let's assume that Plant A provides televisions = P(A) = 0.65

Let's assume that Plant B provides televisions = P(B) = 0.15

Let's assume that Plant C provides televisions = P(C) = 0.20

Also, let D = event that the television is defective

Given that it is supplied by Plant A, the likelihood that the television is malfunctioning = P(D/A) = 0.015

The probability that the television is defective given that it is supplied by Plant B = P(D/B) = 0.025

The probability that the television is defective given that it is supplied by Plant C = P(D/C) = 0.025

We will first determine the likelihood of finding a defective television before determining the likelihood of finding one without a defect.

the probability a defective television is given by;

= P(A) × P(D/A) + P(B) × P(D/B) + P(C) × P(D/C)  

= 0.65 × 0.015 + 0.15 × 0.025 + 0.20 × 0.025  

= 0.00975 + 0.00375 + 0.005

= 0.0185

Now, what are the chances of finding a working television = 1 - Probability of a defective television

likelihood of discovering a television that isn't broken = 1 - 0.0185

= 0.9815

Therefore, there is a 98.15% chance of finding a television that is in good condition.

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The smallest number of rectangles required will be  30.

Given:- The sides of the rectangle are in the ratio of 5:4

let, length=5x

breadth=4x

Area = 20x²

Area of smaller rectangle =2*3

                                           =6cm²

Now, take numbers which are in the ratio of 5:4;

suppose, Case 1=10:8

                 Case2 = 15:12

For Case 1;

number of rectangles needed =10*8/2*3

                                                     =13.3333

This means it is overlapping hence, not possible.

For Case 2;

number of rectangles needed=15*12/2*3

                                                  =30

therefore, the smallest number will be 30.

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Answer:

2

Step-by-step explanation:

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