Missing Endpoint FIND ENDPOINT The midpoint of JK IS M(2, 1). One endpoint is J(1,4). Find the coordinates of endpoint K.

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Three- month simple moving average (sma) forecast for the average gas prices are $3.08

$3.16 , $3.29 and predict the average retail gasoline price for june 2020 is $3.54.

A simple moving average (SMA) is defined as an arithmetic moving average calculated by adding recent prices and then dividing that figure by the number of time periods in the calculation average. The formula for SMA is:

SMA = (A₁ + A₂ + ------+ Aₙ )/n

where, Aₙ = the price of object at nth period

n = the number of total periods

We have, a average gas prices for different months. Calculate the three-month moving average, add together the first three sets of data, for this example it would be Dec, January, and February. This gives a total of $9.25 , then calculate the average of this total, by dividing this figure by 3 we get 3-month simple moving average. We have to predict the 3-month simple moving average for June 2020. As we seen in above table we calculate the 3-month simple moving average for different months.

The 3-month simple moving average for June 2020 is ( $3.29 + $3.51 + $3.82 )/3 = $3.54

So, required value is $3.54..

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Complete question:

use the gas prices data below to calculate a 3-month simple moving average (sma) forecast for the average gas prices and predict the average retail gasoline price for june 2020. round your answer to two decimal places, if necessary.

Year - month Averge gas price

19-Dec $3.07

20-Jan $3.10

20-Feb $3.08

20-Mar $3.29

20-Apr $3.51

20-May $3.82

20-Jun

Step-by-step explanation:

A car is on a slope of 10degree above the horizontal . a force 1000N is applied to the car up the line of the slope. the car has amass of 500 kg . what is the acceleration of the car

The statement(B)The slope of the hypotenuse of triangle DEF is equal to the slope of the hypotenuse of triangle GHI is true .

The slope of  a line passing through two points A(x₁,y₁) and B(x₂,y₂) is calculated using the formula

slope = (y₂-y₁)/(x₂-x₁)

In  the question ,

given that ΔDEF and ΔGHI are similar ,

and hypotnuse of ΔDEF is DF and hypotnuse of ΔGHI is GI ,

we can see that the coordinates of D = (-9,6) , F = (-6,4) and

coordinates of G = (-3,2) and I = (6,-4)

Using slope formula for line DF

we get ,

slope = (4-6)/(-6 - (-9))

= -2/(-6+9)

= -2/3        ...(i)

Using slope formula for line GI

we get ,

slope = (-4-2)/(6 - (-3))

= -6/(6+3)

= -6/9

In simpler form

= -2/3         ...(ii)

From equation (i) and equation (ii) , we can see that slope of hypotnuse of both the triangles are equal .

Therefore , only statement(B)The slope of the hypotenuse of triangle DEF is equal to the slope of the hypotenuse of triangle GHI ,  is true .

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The number of courses that the person has to complete based on the information given is 48 courses.

It should be noted that from the information, it was stated that the person completed 7 courses of a video game that has 8 levels and that each level has 6 courses.

Therefore, since the person has completed seven out of right, there's one left and Thai has levels which means the total courses will be:

= 8 × 6

= 48

Therefore, the number of courses that the person has to complete based on the information given is 48 courses.

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Answer:

whats the question

Answer:

$833

Step-by-step explanation:

Since there are 9 people, we need to determine the cost of accommodation and flights for all 9 people:

9(273) + 9(184) = 2457 + 1656 = 4167 for 9 people

We then subtract that amount from the amount of money she won:

5000 - 4167 = 833

The polar coordinates of the Cartesian coordinate (1,3) is (√10, 74.49°).

To convert the Cartesian coordinate (1,3) to polar coordinates, follow the steps below:

Step 1: Plot the point (1,3) in the Cartesian plane. We have;Cartesian Plane

Step 2: Determine the distance (r) of the point from the origin using the distance formula;r = √(x² + y²)r = √(1² + 3²)r = √(1 + 9)r = √10

Step 3: Determine the angle (θ) between the positive x-axis and the line segment connecting the origin to the point (1,3).

We can find θ using any of the following formulas;

θ = tan⁻¹(y/x)θ = cos⁻¹(x/r) if x is positiveθ = cos⁻¹(x/r) + π if x is negative and y is positiveθ = tan⁻¹(y/x) + π if x is negative and y is negativeθ = ½ π if x is zero and y is positiveθ = 3/2 π

if x is zero and y is negativeθ is undefined if x is zero and y is zeroθ = cos⁻¹(1/√10) if x is positiveθ = cos⁻¹(-1/√10) + π if x is negative and y is positiveθ = tan⁻¹(3/1) + π

if x is negative and y is negativeSince x = 1 and y = 3,θ = cos⁻¹(1/√10)θ ≈ 74.49°

Step 4: Write the polar coordinates as (r, θ) using the determined values;r = √10 and θ ≈ 74.49°

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Answer:

1. 0.3

2. Relative frequency

Step-by-step explanation:

We would be calculating for p(A) which is the probability of A. With A being that public buildings would be found to be insulated with same materials that causes same issues

n = sample space of public buildings = 10

F = frequency = 3

P(A) = 3/10 = 0.3

Therefore 0.3 is the approximate probability of another building having same issues

Question 2 says we should find method used to assign probability

The method used is relative frequency method and it is determined by:

P(A) = frequency(f)/total number of data values(n).

Answer:

1) 5.64

2) 17.321

1) \(\frac{21}{28}\)

2) \(\frac{16}{34}\)

3) \(\frac{28}{35}\)

4) \(\frac{32}{24}\)

Step-by-step explanation:

SOH - CAH - TOA

Sin = \(\frac{O}{H}\)   Cos = \(\frac{A}{H}\)  Tan = \(\frac{O}{A}\)      

O = opposite, A = adjacent, H = hypotenuse

First two,  use Pythagorean Theorem

If you want to calculate the angle on the last 4, use inverse of function and put in the ratio.

For example :

1) Tan Z = \(\frac{21}{28}\)

   \(Tan^{-1}\) ( \(\frac{21}{28}\))

Z = 36.9°

Answer:7n + 9 = 5

Step-by-step explanation:

Answer:

x = 1/7

Step-by-step explanation:

7x + 8 = 9

      -8 | -8   {isolate variable, same on both sides}

7x = 1

/7  | /7  {isolate variable, same on both sides}

x = 1/7

To find all points on the x-axis that are 16 units away from the point (5, -8), we can use the distance formula. The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

In this case, the y-coordinate of the point (5, -8) is -8, which lies on the x-axis. So, any point on the x-axis will have a y-coordinate of 0. Let's substitute the given values and solve for the x-coordinate.

d = √((x - 5)² + (0 - (-8))²)

Simplifying:

d = √((x - 5)² + 64)

Now, we want the distance d to be equal to 16 units. So, we set up the equation:

16 = √((x - 5)² + 64)

Squaring both sides of the equation to eliminate the square root:

16² = (x - 5)² + 64

256 = (x - 5)² + 64

Subtracting 64 from both sides:

192 = (x - 5)²

Taking the square root of both sides

√192 = x - 5

±√192 = x - 5

x = 5 ± √192

Therefore, the two points on the x-axis that are 16 units away from the point (5, -8) are:

Point 1: (5 + √192, 0)

Point 2: (5 - √192, 0)

In summary, the points on the x-axis that are 16 units away from the point (5, -8) are (5 + √192, 0) and (5 - √192, 0).

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Answer:

its just 5/10, or 1/2 is it not

Step-by-step explanation:

0.003x = 18

x = 18/0.003 = 6,000

Answer:

1 hundredth without 10 thousandths, so 18 hundredths is 18 x 10 = 180 thousandths

Step-by-step explanation:

Answer:

Self-employment is common in a variety of occupations, but one common theme is that self-employed individuals tend to be highly skilled in a specific area.

skilled trades, writers, freelancers, artists, lawyers, accountants.

To solve this problem, we will use the formula of rectangular prism surface area.

The formula is:

A=2(wl+hl+hw)

A is the area, w is the width, l is the length, and h is the height.

So we will put in all the numbers.

A=2((15)(10)+(8)(10)+(8)(15))

Multiple all the numbers inside:

A=2(150+80+120)

Add all the numbers inside:

A=2(350)

Multiply:

A=700ft^2

Hope this helped!

Answer:

Your Average Speed was 8.57057285 mph.

Step-by-step explanation:

Answer:

Please give brainliest

Step-by-step explanation:

c

The solution of the differentiated equation is dy/dx = -6x⁵

From the question, we have the following equations that can be used in our computation:

x = ⁶√t

y = 8 - t

To start with:

We need to make the variable t the subject of the formula in the equation x = ⁶√t

Make t the subject

So, we have

t = x⁶

Substitute t = x⁶ in the equation y = 8 - t

y = 8 - x⁶

The rule of first principle of differentiation is represented as

If y = axⁿ, then dy/dx = naxⁿ⁻¹

Using the above as a guide, we have

y = 8 - x⁶

dy/dx = 0 * 8x⁰⁻¹ - 6 * x⁶⁻¹

Evaluate the difference

So, we have

dy/dx = 0 * 8x⁻¹ - 6 * x⁵

Evaluate the products

So, we have

dy/dx = 0 - 6x⁵

Evaluate the sum

So, we have

dy/dx = -6x⁵

Hence, the equation result is dy/dx = -6x⁵

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The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.

Here, we have,

the conditions for mapping the strip transformation pattern onto itself:

The strip pattern can be mapped onto itself in two different ways.

The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.

The second way is to reflect the strip pattern across a vertical line.

Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.

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complete question:

Which transformations map the strip pattern onto itself?

a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°

a horizontal translation only

a horizontal translation, a reflection across a horizontal line, and a glide reflection only

a horizontal translation and a 180° rotation only

Answer:

Its 64 cm

Step-by-step explanation:

Answer:

The daily interest rate on this account = 0.000109

Step-by-step explanation:

Given that,

Interest rate = 4% compounded daily

i.e

Interest is 4% per annum and it is compounded daily.

Now,

We know , 1 year = 365 days

and 1 year interest rate = 4% = \(\frac{4}{100}\) = 0.04

So,

The daily interest rate = \(\frac{0.04}{365}\) = 0.000109

∴ we get

The daily interest rate on this account = 0.000109

Answer: C=48

Step-by-step explanation:

so what i do is find the actual square and find area of that then that equals 36 then move one triangle over and the other problem will be 2x6 which is twelve add them together which dives you 48

The area of the trapezoid will be A= 48 square feet.

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.

The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs. A trapezium can also have parallel legs. The parallel sides can be horizontal, vertical or slanting.

The area of the trapezoid is given by the formula:

\(A=\dfrac{1}{2}\times ({a+b})\times H\)

From the given figure

a=6 ft

b= 2+2+6=10 ft

H= 6 ft

By putting the values in the formula we get:

\(A=\dfrac{1}{2}\times (6+10)\times 6=48\ square \ feet\)

Hence the area of the trapezoid will be A= 48 square feet.

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9514 1404 393

Answer:

  A. z increased by 8

Step-by-step explanation:

When a positive value is added, the original value (z) is increased.

  z + 8   ⇔   z increased by 8

The tree is approximately 12 feet tall to the nearest tenth of a foot.

We have,

To find the height of the tree, we can set up a proportion using the measurements of the shadow.

Since we know that Tyler is 6 feet tall and his shadow is 10 ½ feet long, we can set up the following expression:

Tyler's height / Tyler's shadow length = Tree's height / Tree's shadow length

6 feet / 10.5 feet = Tree's height / 21 feet

To find the tree's height, we can cross-multiply and solve for it:

6 feet x 21 feet = 10.5 feet x Tree's height

126 feet = 10.5 feet x Tree's height

Dividing both sides of the expression by 10.5 feet:

126 feet / 10.5 feet = Tree's height

12 feet = Tree's height

Therefore,

The tree is approximately 12 feet tall to the nearest tenth of a foot.

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Answer:

I'm pretty sure it's A but I could be wrong

Step-by-step explanation:

Ernie will owe an interest of $268

Answer: a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The appropriate test is a t-test for slope. The test statistic is t = 2.68 and the p-value is 0.005. Because the p-value, 0.005, is less than α=0.05 we have convincing evidence that there is a positive linear relationship between the amount of water received and how tall the sunflower plants grew.

Answer:

"B".  Domain is all real numbers, and the Range is all positive real numbers

Step-by-step explanation:

It is important to recognize that this function is an exponential function, either by the graph (observe a horizontal asymptote on the x-axis, and increasing exponentially), or more importantly by the equation which is in exponential form \(y=a*b^x\) where "a" is a non-zero real number, and "b" is a positive real number not equal to 1.

Observe that for the given function, a=4 (a real number not equal to zero), and b=2 (a positive real number that is not 1).

The domain for all exponential functions is all real numbers, so this function's domain is all real numbers.

The Range for exponential functions depends on "a", where if "a" is a positive number the Range is positive numbers only, and if "a" is a negative number, the Range is negative numbers only.

Since "a" is positive, the Range is positive numbers only.

Writing the Domain in "set-builder notation" (since all of the choices are given using that notation), the Domain is "all real numbers" put into curly brackets, so {all real numbers}.

Writing the Range in "set-builder notation", recall that the Range is the outputs of the function, so the Range is "y values such that y is greater than zero".  There is some shorthand used, where the phrase "such that" is symbolized using a short vertical line (common in set-builder notation), and the phrase "y is greater than zero" is shortened using inequality symbols "y>0".  So, the Range is written as { y | y>0 }.

Further, the "Domain" and "Range" are abbreviated with "D" and "R" respectively.

Therefore, the final answer would be D = {all real numbers}; R = { y | y>0 }, which is answer "B"