2. The sum of the interior angles in a quadrilateral is 360°. Determine the value of x in
the diagram on the right.

The correct answer would be -3/8 or in decimal form -0.375 :)

The point estimators in your list are b. μ (estimated by the sample mean) and c. s (which is an estimator for σ, the population standard deviation).

A point estimator is a statistic that is used to estimate a population parameter. Out of the options provided, the following are point estimators:

b. μ (mu) - This symbol represents the population mean, which is a measure of central tendency for the entire population. A point estimator for μ would typically be the sample mean (x), calculated from a random sample taken from the population.

c. s - This symbol represents the sample standard deviation, which is a measure of how dispersed the data is from the sample mean. The sample standard deviation (s) is a point estimator for the population standard deviation (σ).

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Answer:

$263.50

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

got it right on edg

9514 1404 393

Answer:

Step-by-step explanation:

For finding side lengths, it is convenient to work with the differences of the coordinates.

  DE = E(-1, -3) -D(8, -6) = (-9, 3)

  EF = F(-2, 5) -E(-1, -3) = (-1, 8)

  FD = D(8, -6) -F(-2, 5) = (10, -11)

Then the lengths are ...

  DE = √((-9)² +3²) = √90 = 3√10 ≈ 9.49

  EF = √((-1)² +8²) = √65 ≈ 8.06

  FD = √(10² +(-11)²) = √221 ≈ 14.87

The lengths are all different and the largest angle is obviously more than 90°, so the triangle is an obtuse scalene triangle.

The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.

When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.

For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.


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Find the derivate of the expression using the general procedure to find the derivative of a polynomial function. To do it, multiply the term times the exponent of the variable and raise the variable to the original exponent minus 1:

Now that we have the expression for the derivative of the function, evaluate it at the value of x that is in the question statement, which is 1:

The derivative of the function is -2 at x=1.

Answer:

The red is 1/3 and yellow is 1/4

Step-by-step explanation:

there are 3 colors and 1 of them is red so 1/3 same goes to the yellow 4 colors and  is 1 yellow so 1/4

Given that the surface area of a rectangular prism is 200 cm², we need to determine the dimensions of the rectangular prism that would have the greatest volume.

To determine the length, width, and height of the rectangular prism that would have the greatest volume, we need to use the following formulas:

Surface area of a rectangular prism = 2(lw + lh + wh)

Where l = length,

w = width,

and h = height.

Volume of a rectangular prism = lwh

Using the surface area formula:2(lw + lh + wh)

= 200lw + lh + wh

= 100

Equation 1: w = (100 - lh) / (l + h)

Volume of a rectangular prism = lwh

= l(lh - lh² / (l + h))

Rearranging the equation:V = l³h / (l + h) - lh² / 1

Where V represents volume.To determine the dimensions of the rectangular prism that would have the greatest volume, we need to find the maximum value of the equation above.

To do this, we need to differentiate the equation with respect to l, then equate it to zero. Differentiating with respect to l gives:

(dV/dl) = h(lh + h²) / (l + h)² - h² / (l + h)²

= h(lh - h²) / (l + h)²

Equating to zero:h(lh - h²) / (l + h)² = 0lh - h²

= 0h(l - h)

= 0

Therefore, l = h.

Substituting into equation 1:

w = (100 - lh) / (l + h)

= (100 - l²) / (2l)

Differentiating with respect to l gives:(dw/dl) = (l² - 100) / 2l²

Equating to zero:(l² - 100) / 2l²

= 0l²

= 100l

= ±10 cm

Since the dimensions of a rectangular prism cannot be negative, l = 10 cm.

Substituting into w = (100 - l²) / (2l):

w = (100 - 100) / 20

= 0cm

Substituting l and w into equation 1: lw + lh + wh = 10010h + 0h

= 100h

= 10 cm

Therefore, the length, width, and height of the rectangular prism that would have the greatest volume with a surface area of 200 cm² are:

Length = 10 cm

Width = 0 cm

Height = 10 cm

Therefore, the rectangular prism is a square pyramid. The length and height are equal to 10 cm while the width is equal to 0 cm. The volume of the rectangular prism is equal to 500 cm³.

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Answer:

(2a-4) (a+9). I hope this helps you a lot :)

Answer:

5.4

Step-by-step explanation:

using pythagoras theorem

a²+b²=c²

5²+2²=c²

c²= 25+4

c²=29

\( \sqrt{c ^{2} } = \sqrt{29} \)

c=5.4

The distance that should be drwan on a scale plan of 1:100000 is = 32m

Distance can be defined as the area that is covered by the movement of an object without reference to its direction.

From the scale given,

1cm : 100000cm on the scale plan of the map

The given distance = 32km

Convert km to cm by multiplying by 100000

32km = 32× 100000 = 3,200,000

To determine the equivalent ratio,

1 cm = 100000

n cm = 3,200,000

n cm= 3,200,000/100000

n cm= 32cm

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Answer: 0.018kg

Step-by-step explanation:

Answer: 108, 132, 156, and 180

Step-by-step explanation:

If you need to add 24 to the first term for the next 4 terms, you would have

84 + 24 = 108

108 + 24 = 132

132 + 24 = 156

156 + 24 = 180

So your sequence would be 108, 132, 156, and 180 for the next 4 terms.

Answer:

Range is 77

Step-by-step explanation:

The range of a data set is the difference between the largest and smallest values.

The largest value is 98 and the smallest value is 21, so the range is:

98 - 21 = 77

Therefore, the range of the data set 45, 76, 98, 21, 52, 39 is 77.

The surface area of the total area of the faces of the given figure. The surface area of the figure is 900 square meters

The surface area of the total area of the faces of the given figure.

The given figure is made up of 3 rectangles and 2 triangles:

Surface area = area of 3 rectangles + area of 2 triangles

Surface area  = [2(17*10) + 16*10] + (16*15)
Surface area = 2(170+160) + 240
Surface area = 660 + 240
Surface area = 900 square meters

Hence the surface area of the figure is 900 square meters

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Answer:

\(3x - 4 = 5x - 10 \\ collect \: liketerms \\ 3x - 5x = - 10 - 4 \\ - 2x = - 14 \\ you \: divide \: both \: sides \: by \: 2 \\ \frac{2x}{2} = \frac{ - 14}{2} \\ x = - 7\)

The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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The slope of the median of the triangle that passes through point R is -1/6. The slope of the altitude of the triangle that passes through point Q is -1.

To find the slope of the median of the triangle that passes through point R, first we find the midpoint of PQ. Midpoint of PQ = (-2 + (-6))/2, (5 + 1)/2 = (-4, 3)

The equation of the line passing through R and the midpoint of PQ is the median of the triangle that passes through point R.

Slope of the line = (y2 - y1)/(x2 - x1) = (1 - 3)/(8 - (-4)) = -2/12 = -1/6

The slope of the median of the triangle that passes through point R is -1/6.To find the slope of the altitude of the triangle that passes through point Q, first we find the equation of the line containing Q and is perpendicular to the line containing PQ.

The slope of the line PQ is (5 - 1)/(-2 + 6) = 4/4 = 1.

Therefore, the slope of the line containing the altitude is -1/1 = -1.

The equation of the line containing the altitude passing through Q is:y - 5 = -1(x + 2) => y = -x + 3

So, the slope of the altitude passing through Q is -1.

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The most appropriate measure of center include the following: C. The median.

In Mathematics and Geometry, a median refers to the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.

From the data set for this day care facility, we have:

22, 23, 23, 24, 20, 8

By sorting the data set from the least to greatest, we have:

8,20,22,23,23,24

Median = (22 + 23)/2

Median = 22.5

In conclusion, the median is the most appropriate measure of center because the value 8 is an outlier.

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To prove that the determinant of an orthogonal matrix Q is ±1, we will use the fact that the determinant of a product of matrices is equal to the product of their determinants.

Let Q be an orthogonal matrix. We have Q¹Q = I, where I is the identity matrix. Taking the determinant of both sides, we get det(Q¹Q) = det(I).

Using the property that the determinant of a product is equal to the product of determinants, we have det(Q¹)det(Q) = det(I).

Since Q¹ is the transpose of Q, we have det(Q)det(Q) = det(I).

As det(I) = 1, we can simplify the equation to det(Q)² = 1.

Taking the square root of both sides, we have det(Q) = ±1.

Therefore, the determinant of an orthogonal matrix is always ±1.

An example of an orthogonal matrix that isn't diagonal is:
Q = [[cosθ, -sinθ], [sinθ, cosθ]]
where θ is any non-zero angle.

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Answer:

A split infinitive is a common grammatical mistake that can be hard for writers to spot. Many people think they are not a big deal, but they can often have a major impact on your writing and make it hard for a reader to understand what you have to say.

Step-by-step explanation:

Take, for example, this sentence:

I like to on a hot day eat a lot of ice cream.

Did you have to read it twice to be clear what it was saying? I know I did. But let's make just a little adjustment:

On a hot day, I like to eat a lot of ice cream.

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 2.9570988426474, you can do the rounding.

Explanation:

C/ Pie is how to get the diameter

I hope this helped!

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- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

The answer of the given question is $6.4, this is the money that need to be added onto the bill for the tip.

How to calculate a 20% tip?

To calculate tip, we need to multiply the total bill by 1 plus the decimal percentage tip we'd like to leave. If we wanted to leave a 20% tip, we would add 1 to 0.20 to get 1.20. Then, multiply the bill by 1.20 to get the total amount we'd leave including tip.

In this case, we have a $32 bill and we would like to add on an 20% tip. So, it will be as follows:

20% = 0.20

1 + 0.20 = 1.20

Total bill will be 1.20 x $32 = $38.4

Hence, the tip amount is $38.4 - $32 = $6.4

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Answer:

m∠D = 109

Step-by-step explanation:

This is a parallelogram.

In parallelograms, the opposite interior angles are congruent, so we can write the following equation to find, first value x the measure of m∠D:

9x - 44 = 6x + 7

9x - 6x = 7 + 44

3x = 51

x = 17

Now we can calculate measure of m∠D:

m∠D = 9x - 44

9×17 + 44 = 109

The cost of '10' hotdogs and '8' hotdog buns is given by '10x + 8y.'

it is their job to plan and cost a media schedule for the campaign

an amount that has to be paid or spent to buy or obtain something:

"we are able to cover the cost of the event"

The system of equations that represents the total amount of money you spent on hotdogs and hotdog buns at each store is given by:

a) 10x + 8y

The above equation represents the cost of hotdogs and hotdog buns purchased at a store.

The cost of a hotdog is represented by 'x', and the cost of a hotdog bun is represented by 'y.'

Thus, the cost of '10' hotdogs and '8' hotdog buns is given by '10x + 8y.'

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Answer:

Step-by-step explanation:

\(1\frac{1}{3} - 2\frac{1}{5} +\frac{7}{10}\)

\(=-\frac{13}{15} +\frac{7}{10}\)

\(=-\frac{1}{6}\)

Answer:

156

Step-by-step explanation:

The missing information in the square is option(b) x = 4y = 4 √(2) and y = 4.

Given square PQRS, the task is to determine the missing information. A square is a quadrilateral with four equal sides and four equal angles.

The coordinates of the vertices of a square are (x,y), (x+4,y), (x+4,y+4) and (x,y+4).

The missing information, x and y, can be found by solving the equations that represent the sides of the square. We can start by solving for x.

The equation for the side PQ is x + 4y = 2 √(2). Solving this equation for x gives x = 4y - 8 √(2).

Similarly, the equation for the side RS is x + 4y = 4 √(2). Solving this equation for x gives x = 4y = 4 √(2).

Therefore, the missing information is x = 4y = 4 √(2) and y = 4.  

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