Parallelogram ABCD is shown below.

Parallelogram A B C D. Angle A is 104 degrees. Angle C is opposite to angle A.

What is the measure of Angle B?
52Degrees
76Degrees
104Degrees
152Degrees

Answer:

y=5x+22

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=5(x-(-5))

y+3=5(x+5)

y=5x+25-3

y=5x+22

For the given frequency distribution of waterfall heights for , the mean is 309.18 feet , the variance is 37027.9 feet and standard deviation is 192.42 feet.

A frequency distribution table is one way to organise data to make it more understandable. The frequency of an event tells you how frequently it occurs. The frequency of an observation indicates how frequently the observation occurs in the data.

Given,

number of sample, N=27

First we need to calculate the mid-values of class boundaries by formula,

\(x=\frac{L.L+U.L}{2}\)

Where, L.L = lower limit and U.L=upper limit of the class boundaries

\(x=\frac{55.5+188.5}{2}=122\)

similarly, calculate 'x' for all class boundaries.

Now, multiply frequency, f and x

\(\begin{center}\begin{tabular}{ c c c c c c c}class\ boundaries & frequency & x&fx & (x-\overline x) & (x-\overline x)^2 & f(x-\overline x)^2\\55.5-188.5& 8 &122&976 & -187.18 & 35036.35 & 280290.8\\\\188.5-321.5& 11&255&2805 & -54.18 & 2935.47 & 32290.17\\\\321.5-454.5& 2&388&776 & 78.82 & 6212.59 & 12425.18\\\\454.5-587.5& 2&521&1042 & 211.82 & 44867.71 & 89735.4\\\\587.5-720.5&3&654&1962 & 344.82 & 118900.83 & 356702.4\\\\720.5-853.5&1&787&787&477.82&228311.95&228311.9\\\\ \end{tabular}\end{center}\)

Mean can be determined by formula,

\(\overline x=\frac{ \sum fx}{N}\\\\\overline x = \frac{976+2805+776+1042+1962+787}{27}\\\\\overline x = 309.18\)

Variance can be calculate by formula,

\(S^2=\frac{\sum f(x- \overline x)^2}{\sum f}\\\\S^2=\frac{280290.8+32290.17+...+228311.9}{27}=37027.99\)

Standard deviation can be calculated by formula,

\(S=\sqrt{37027.99}=192.42\)

Hence, the mean, variance and standard deviation of the sample of waterfall heights are 309.18 ft, 37027.99 ft and 192.42 ft respectively.

To learn more about frequency distribution refer here

https://brainly.com/question/14469020

#SPJ4

Your question is incomplete, here is the complete question

The frequency distribution shows a sample of the waterfall heights, in feet, of 27 waterfalls. find the variance and standard deviation for the data. round your answers to at least one decimal place.

\(\begin{center}\begin{tabular}{ c c}class\ boundaries & frequency\\55.5-188.5& 8\\188.5-321.5& 11\\321.5-454.5& 2\\454.5-587.5& 2\\587.5-720.5& 3\\720.5-853.5 &1\\\end{tabular}\end{center}\)

The current rate of sea level rise stays constant, the sea level would increase by about 1.05 feet over the next 100 yea

To answer this question, we need to know the current rate of sea level rise. According to the National Oceanic and Atmospheric Administration (NOAA), the current rate of global sea level rise is about 3.2 millimeters per year.

Therefore, over the next 100 years, the sea level would rise by:

3.2 millimeters/year * 100 years = 320 millimeters

To convert millimeters to feet, we can use an online conversion calculator. 320 millimeters is equivalent to 1.05 feet (rounded to two decimal places). Therefore, if the current rate of sea level rise stays constant, the sea level would increase by about 1.05 feet over the next 100 years.

Learn more about current rate here

https://brainly.com/question/30416905

#SPJ11

Answer:

85%(estimated)

Step-by-step explanation:

150-22=128

changed ÷ original x 100%

128 ÷ 150 x 100%

≈ 85%

Answer:

you have flvs? am if u do is it geometry?

Answer:

4 plants

Step-by-step explanation:

convert the capacity of the watering can to millimeters

1L = 1000 milliliters

1 x 1000 = 1000 millimeters

Plants that can be watered = capacity of the watering can / amount of water a plant needs

1000 / 250 = 4 plants

The correct answer for the given expression is 99.22.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

The expression will be solved as:-

E = \(({5 -\dfrac{10}{27}})^3\)

E = \((\dfrac{135-10}{27})^3\)

E =\(\dfrac{125}{27}^3\)

E = 99.22

Therefore the correct answer for the given expression is 99.22.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ1

Answer:

(a)The solution set is: \(x \in [6, \infty) \forall x \in R\)

(c) \(6 \leq x\)

Step-by-step explanation:

Given the inequality: \(12+\dfrac{11}{6}x\leq 5+3x\)

We solve by collecting like terms

\(12+\dfrac{11}{6}x\leq 5+3x\\12-5\leq 3x-\dfrac{11}{6}x\\7\leq \dfrac{18x-11x}{6}\\42 \leq 7x\\$Divide both sides by 7\\6 \leq x\\$We can re-write this as:\\x\geq 6\)

The solution set is therefore: \(x \in [6, \infty) \forall x \in R\)

Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

Answer:

B) (-2,1)

Step-by-step explanation:

In order to find a solution to a system of equations, substitute the point's x and y values into both of the equations, solve, and see if it makes the equation true.

1) Let's try the point (-2,1). First, substitute its x and y values into the first equation, 3x - 3y = -9. Thus, substitute -2 for x and 1 for y in the equation and solve:

\(3x-3y = -9\\3(-2)-3(1) = -9\\-6 - 3 = -9 \\- 9 = -9\)

-9 does equal -9, thus (-2, 1) makes the first equation true.

2) Now, do the same thing but with the second equation, 2x + y = -3. Again, substitute -2 for x and 1 for y and solve:

\(2x + y = -3\\2(-2) + (1) = -3\\-4 + 1 = -3\\-3 = -3\)

-3 does equal -3, thus (-2, 1) makes the second equation true.

By substituting its values into both equations, we saw that it made both equations true. Thus, (-2,1) is the answer.

Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

To learn more about linear equations refer to:

https://brainly.com/question/2030026

#SPJ1

Answer:

60 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle are 180.  The bottom triangle give you two of the angle measurements (43 and 35)  Take 180 - 43 -35 = 102.  Angle E is 102.  Vertical angles are congruent so that mean that we can use that to find angle a.  Again, the sum of the interior angles adds up to 180.  180 - 102 - 18 gives us the measurement of angle a (60)

The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.

1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.

These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.

To learn more about partial derivative, click here: brainly.com/question/2293382

#SPJ11

The taylor polynomials of degree n approximating 1/(2-2x) for x near 0 is P7(x)=(1/2)+(1/2)x+(1/2)x2+(1/2)x3+(1/2)x4+(1/2)x5+(1/2)x6+(1/2)x7

What is taylor polynomials?

An infinite sum of terms stated in terms of the function's derivatives at a single point is referred to as a Taylor series or Taylor expansion of a function. Near this point, the function and the sum of its Taylor series are equivalent for the majority of common functions. If the functional values and derivatives are identified at a single point, the Taylor series is used to calculate the value of the entire function at each point.

P(x)=1/(2-2x)

=(1/2)(1/(1-x))

=(1/2)(1+x+x2+x3+x4+x5+x6+x7+x8+.....)

for n =3 ,P3(x)=(1/2)+(1/2)x+(1/2)x2+(1/2)x3

for n =5 ,P5(x)=(1/2)+(1/2)x+(1/2)x2+(1/2)x3+(1/2)x4+(1/2)x5

for n =7 ,P7(x)=(1/2)+(1/2)x+(1/2)x2+(1/2)x3+(1/2)x4+(1/2)x5+(1/2)x6+(1/2)x7

To know more about taylor polynomials check the below link:

https://brainly.com/question/30074851

#SPJ1

Answer:

see explanation

Step-by-step explanation:

(a)

calculate the lengths using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = J (- 3, - 7 ) and (x₂, y₂ ) = K (3, - 8 )

JK = \(\sqrt{(3-(-3))^2+(-8-(-7))^2}\)

    = \(\sqrt{(3+3)^2+(-8+7)^2}\)

    = \(\sqrt{6^2+(-1)^2}\)

    = \(\sqrt{36+1}\)

    = \(\sqrt{37}\)

repeat with (x₁, y₁ ) = M (8, 3 ) and (x₂, y₂ ) = N (7, - 3 )

MN = \(\sqrt{(7-8)^2+(-3-3)^2}\)

      = \(\sqrt{(-1)^2+(-6)^2}\)

     = \(\sqrt{1+36}\)

     = \(\sqrt{37}\)

repeat with (x₁, y₁ ) = P (- 8, 1 ) and (x₂, y₂ ) = Q (- 2, 2 )

PQ = \(\sqrt{-2-(-8))^2+(2-1)^2}\)

      = \(\sqrt{(-2+8)^2+1^2}\)

      = \(\sqrt{6^2+1}\)

      = \(\sqrt{36+1}\)

      = \(\sqrt{37}\)

(b)

JK ≅ MN ← true

JK ≅ PQ ← true

MN ≅ PQ ← true

If the range of continuous variables X and Y is 0 to 1, then the variables are said to be normalized or standardized.

Normalization involves transforming the variables so that they have a mean of 0 and a standard deviation of 1. This can be achieved by subtracting the mean and dividing by the standard deviation of the variable:

z = (x - mu) / sigma

where z is the normalized value, x is the original value, mu is the mean of the variable, and sigma is the standard deviation of the variable.

For example, we have two variables X and Y, calculating mean and standard deviation of X and Y:

mu_X = mean(X)

mu_Y = mean(Y)

sigma_X = std(X)

sigma_Y = std(Y)

Normalizing X and Y :

Z_X = (X - mu_X) / sigma_X

Z_Y = (Y - mu_Y) / sigma_Y

The resulting variables Z_X and Z_Y will have a mean of 0 and a standard deviation of 1, and their range will still be 0 to 1.

Know more about normalization here:

https://brainly.com/question/30452740

#SPJ11

The sample space of this experiment consists of 24 possible outcomes, 32 if the initial flip is a heads and 8 if the initial flip is a tails.

The sample space of this experiment consists of 24 possible outcomes, 32 if the initial flip is a heads and 8 if the initial flip is a tails.

There are 24 possible outcomes in the sample space of this experiment. If a heads is flipped on the initial flip, then the 5 additional flips would yield 2^5 = 32 possible outcomes. If a tails is flipped on the initial flip, then the 3 additional flips would yield 2^3 = 8 possible outcomes. Therefore, the total number of possible outcomes is 32 + 8 = 24.

The sample space of this experiment consists of 24 possible outcomes, 32 if the initial flip is a heads and 8 if the initial flip is a tails.

Learn more about sample here

https://brainly.com/question/25894237

#SPJ4

The radius of the semicircle is 4.3 kilometers.

A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.

Given:

The diameter of a semicircle is 8.6 kilometers.

Then the radius of the semicircle,

= diameter / 2

= 8.6 / 2

= 4.3 kilometers.

Therefore, the radius is 4.3 kilometers.

To learn more about the diameter:

brainly.com/question/5501950

Answer:

16m

Step-by-step explanation:

Just simplify the expression

The correct answer is option C which is Gas station A is selling gasoline at a lower rate its price is $3.05 per gallon.

Expression in maths is defined as the collection of numbers, variables, and functions using signs like addition, subtraction, multiplication and division.

Here we have two pieces of information

Gas station A:-

3 gallons for $9.15

1 gallons for  $9.15 / 3 = $ 3.05

Gas station B:-

P = 3.08g

It means that station B is selling the gasoline at a higher price.

Therefore the correct answer is option C which is Gas station A is selling gasoline at a lower rate its price is $3.05 per gallon.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ1

Answer: 165

Step-by-step explanation:

55 x 3 = 165

The flour that Karina's mother has won't be enough for the recipe and she requires extra 3/20 together with the quality owed by the mother.

Flour is defined as a food product that is the main ingredient for baking of different recipes such as cakes, breads, plate pies just to mention a few.

The amount of flour needed by Karina for the recipe= 3/5 = 0.6.

The amount of flour owed by the mother = 3/7 = 0.45

The difference between the available flour = 0.6 - 0.45 = 0.15

This shows that extra flour of 0.15 or 3/20 is needed in addition to the quantity of flour owed by the mother to be able to make the recipe.

Learn more about flour here:

https://brainly.com/question/26211317

#SPJ1

lucas

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

numbers are integers, the integers are negative, zero and positive, 

while natural numbers are only positive, 

therefore the statement is false

 . False. Integers comprise negative and positive numbers (...- 3, -2, -1, 0, 1, 2, 3 ...) and natural numbers only comprise positive integers (0, 1, 2, 3 ...)  

4.84 HP is the amount of work energy used.

Given info,

A helicopter is lifting an 800-pound unit at a rate of 200 feet per minute.

1 horsepower = 550 foot-pounds per second

⇒ 800 x 200 = 160,000 foot-pounds per minute

                      = 160,000/60 foot pounds per second.

Horsepower = 160,000/60 * 550 = 428/33

                                                       = 4.848 HP

Therefore, the horsepower of work energy used is 4.84 HP

To learn more about horsepower click here:

brainly.com/question/11234923

#SPJ4

Answer:

Karthik goes to office at 09.30 and returns back at 18:00. His lunch timings are 12:00 to 12:45

Answer:

f(1) = 5, f(2) = 8, f(3) = 11

Step-by-step explanation:

Common difference refers to how you get from one value in the sequence to the next.

If f(0) = 2, f(1) = 2 + 3 = 5 etc