Which statement best compares the shapes of the
distributions of the quiz scores for the two classes?
Both distributions appear to be fairly symmetric.
O The distribution of quiz grades for class 1 appears to
be skewed left, and the distribution of quiz grades for
class 2 appears to be fairly symmetric.
O The distribution of quiz grades for class 1 appears to
be skewed right, and the distribution of quiz grades
for class 2 appears to be fairly symmetric.
O The distribution of quiz grades for class 1 appears to
be skewed right, and the distribution of quiz grades
for class 2 appears to be slightly skewed left.

The coefficient of determination for a linear regression model fitting with bivariate dataset ( scatterpot present in above figure) is equals to the 90.097.

When we study about linear regressions, usually analyze two coefficients that help us to know about the quality of the regression model and strength of linear relationship between the variables. One is called the coefficient of determination, denoted by R². Consequently, by observing a scatter plot, we can estimate the value of these coefficients. We have a scatterpot for a linear model fitting of the bivariate dataset is present in above figure. Coefficient of determination is always positive. When data are very closely arranged along a approximate line, then coefficient of determination is more near to 1 (In percentage it is 100). Here points are almost closely arranged . So percentage should be near to 100. So possible answer is 90.097. Hence, the answer is 90.097.

For more information about cofficient of determination, visit :

https://brainly.com/question/17237825

#SPJ4

Complete question :

The above figure complete the question.

What is the coefficient of determination for a linear model fitting the following bivariate dataset?

These steps are often referred to as the principle of mathematical induction or PMI.

The steps for mathematical induction are:

Base Case: Show that the statement holds for some particular value of n, usually n = 1 or n = 0.

Inductive Hypothesis: Assume that the statement holds for some arbitrary value of n = k, where k is a positive integer.

Inductive Step: Using the inductive hypothesis, show that the statement also holds for n = k + 1.

Conclusion: By the principle of mathematical induction, the statement is true for all positive integers n.

These steps are often referred to as the principle of mathematical induction or PMI. They are used to prove statements that involve an infinite set of integers by showing that the statement holds for a base case, assuming that it holds for an arbitrary value, and then showing that it holds for the next integer in the set.

Learn more about mathematical induction here

https://brainly.com/question/29503103

#SPJ11

Brand A hat is more preferable with largest volume i.e. 565.2 cu. inches.

A cone is a distinctive three-dimensional geometric figure that has a flat surface and a curved surface, pointed towards the top.

Here, Given data are:

Height of cone for Brand A = 15 in.

Radius of cone of Brand A =6 in.

Volume of Cone of brand A = \(\frac{1}{3}\pi r^2h\)

               V =\(\frac{1}{3}X 3.14X6^2X15\)

               V = 565.2 cu. in.

Height of cone for Brand B = 18 in.

Radius of cone of Brand B =5 in.

Volume of Cone of brand A = \(\frac{1}{3}\pi r^2h\)

               V =\(\frac{1}{3}X 3.14X5^2X18\)

               V = 471 cu. in.

Volume of brand A > volume of brand B.

Thus, Brand A hat is more preferable with largest volume i.e. 565.2 cu. inches.

Learn more about Cone from:

https://brainly.com/question/16394302

#SPJ2

Answer:

6x - 7

Step-by-step explanation:

\(\frac{1}{3}\) (12x + 6x - 21 ) ← multiply each term in the parenthesis by \(\frac{1}{3}\)

= 4x + 2x - 7 ← collect like terms

= 6x - 7

Hey there!

ORIGINAL EQUATION:

1/3(12x + 6x - 21)

COMBINE the LIKE TERMS

= 1/3(18x - 21)

DISTRIBUTE 1/3 WITHIN the PARENTHESES:

= 1/3(18x) + 1/3(-21)

SIMPLIFY:

= 6x - 7

Therefore, the answer should be:

6x - 7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Therefore, the open interval around a that contains a positive value of f(a) is (a-ε, a+ε) for some positive ε.This interval is open because it contains a positive value of f(a) and its endpoints a-ε and a+ε are also in the interval.

To find the derivative of the function Id² at the point a, we can use the definition of the derivative of a function:

f'(a) = lim(h→0) [f(a+h) - f(a)]/h

where f(a+h) and f(a) are the values of the function at the point a+h and a, respectively, and h is a small positive number approaching 0.

In this case, f(x) = x and f'(x) = 1. Therefore, we have:

Id²(a) = lim(h→0) [Id(a+h) - Id(a)]/h

= lim(h→0) [Id(a+h) - a]/h

= lim(h→0) [Id(a+h) - Id(a)]

= lim(h→0) [h - 0]/h

= 1

Therefore, the derivative of the function Id² at the point a is 1.

To find the domain S of the Newton quotient x-a, we need to find all x in R such that x-a is in the domain of the function f(x) = x-a.

Since f(x) is a function of x, the domain of f(x) is the set of all x for which the function is defined and makes sense.

For x-a to be in the domain of f(x), we need x-a to be a real number. Therefore, the domain of the Newton quotient x-a is R.

To find the open subset SU of R containing a, we need to find the open set containing a that satisfies the condition that a is in SU.

Since SU is defined as the set of all real numbers a such that f(a) is positive, we need to find an open set containing a that satisfies the condition that f(a) is positive.

One way to do this is to find the open interval around a that contains a positive value of f(a).

Since f(x) = x-a is a function of x, we can find the interval around a that contains a positive value of f(a) by solving for x in the equation f(x) = 0.

Since f(x) = x-a, we have:

f(x) = 0 if and only if x = a

Therefore, the open interval around a that contains a positive value of f(a) is (a-ε, a+ε) for some positive ε.

This interval is open because it contains a positive value of f(a) and its endpoints a-ε and a+ε are also in the interval.

Therefore, SU is the open set containing a that satisfies the condition that a is in SU, and it is an open subset of R.

Learn more about interval visit : brainly.com/question/30460486

#SPJ11

Answer:

The second one is 33

The first one is 17

Step-by-step explanation:

For the first one your just adding three the second one your just adding 8

El medio ambiente es un tema crucial para la supervivencia de todas las especies del planeta, incluyendo los seres humanos. La actividad humana ha tenido un impacto significativo en el medio ambiente, lo que ha llevado a la degradación de los ecosistemas, la pérdida de biodiversidad y el cambio climático.

Es importante que tomemos medidas para proteger el medio ambiente. Podemos hacer esto reduciendo nuestra huella de carbono, utilizando fuentes de energía renovable, reduciendo nuestro consumo de recursos naturales y siendo más conscientes de nuestras acciones en relación con el medio ambiente.

Además, la educación es clave para la protección del medio ambiente. Si todos estamos educados sobre los problemas ambientales y las soluciones, podemos trabajar juntos para encontrar formas de proteger y preservar nuestro planeta para las generaciones futuras.

En resumen, el medio ambiente es esencial para nuestra supervivencia y debemos tomar medidas para protegerlo. La educación y la acción son necesarias para abordar los desafíos ambientales que enfrentamos como sociedad.

A qualitative variable is a variable that cannot be measured in numerical terms, but rather, is characterized by qualities or attributes that are not numerical. Option A is the correct answer.

Qualitative variables are also called categorical variables because they represent categories or groups. Examples of qualitative variables include gender, nationality, religion, and occupation.

In contrast, quantitative variables can be measured in numerical terms, such as age, height, weight, income, and test scores. Understanding the nature and characteristics of different types of variables is important for selecting appropriate statistical methods and techniques to analyze and interpret data.

Learn more about qualitative variables at

https://brainly.com/question/29115836

#SPJ4

Here,

x+50°+70°= 180° [°.°Angle sum of triangle]

↪x= 180°-120°

↪x=60°

.°. x = 60°

Now,

Let z be the unknown angle of the second triangle

z+60°+50°=180° [°.° Angle sum of triangle ]

↪z=180°-110°

↪z=70°

. ° . z=70°

Then,

z+x+y= 180°

↪70°+60°+y=180°

↪y=180°-130°

↪y=50°

.°.y = 50°

Answer:

x = 60°, y = 50°

Step-by-step explanation

We know: the angles measures in a triangle add up to 180°.

(look at the picture)

z + 50 + 60 = 180

z + 110 = 180    subtract 110 from both sides

z = 70°

x + 50 + 70 = 180

x + 120 = 180         subtract 120 from both sides

x = 60°

Angles x, y, and z are on one side of a straight line. Therefore they add to 180°.

x + y + z = 180

60 + y + 70 = 180

y + 130 = 180         subtract 130 from both sides

y = 50°

Answer:

D is correct.

0 is greater than -2.

-1 is greater than -2.

5 is greater than -2.

-3 is smaller than -2.

Hope this helps!

Using the trend line equation, we can find that the record was set in the year 2005.

Data is shown visually in a scatter plot.

The coordinate axes are used in a straightforward scatter plot to plot the points according to their values.

Now in the given question,

The scatter plot equation is:

y = - 0.14x + 12.5

Now we know that y = 11.8 seconds.

So,

11.8 = -0.14x + 12.5

⇒ 0.14x = 12.5 - 11.8

⇒ x = 0.7/0.14

⇒ x = 5

Therefore, the year when the record was set is 2000+5 = 2005.

To know more about scatter plot, visit:

https://brainly.com/question/29231735

#SPJ1

The mean and standard deviation of the number of people with blood type a-positive in 100 randomly selected is μ=85, σ=3.5707

The standard deviation is a statistic that measures the amount of variation or dispersion of a group of values.

Standard deviation is usually abbreviated SD and is most commonly represented in mathematical texts and equations by the lower case Greek letter (sigma) for population standard deviation or the Latin letter s for sample standard deviation.

A low standard deviation indicates that the values are close to the mean of the set (also known as the expected value), whereas a high standard deviation indicates that the values are spread out over a broader range.

Given, The population proportion of success is p=0.85

And also given that the sample size is n=100

b) The population mean is:

μ=np

μ=100(0.85)

μ=85

Therefore, mean=85

And the population standard deviation is:

σ=√np(1-p)

σ=√100(0.85)(1-0.85)

σ=3.5707

Therefore, standard deviation=3.5707

To know more about standard deviation, visit:

https://brainly.com/question/14747159

#SPJ4

The complete question is:

" Rh - positive blood appears in 85% of the population in the USA. a) Verify that it's possible to use the normal approximation to binomial distribution if a sample size is 100 randomly selected people. b) Find the mean and standard deviation of the normal distribution."

Answer:

42cm³

Step-by-step explanation:

7*2*3=42

7*2=14

14*3=42

42

the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

Given: The cylinder is x² + y² = 9, bounded above by the plane z = x and below by the xy-planeWe know that, the cylinder is x² + y² = 9Which is (x/a)² + (y/b)² = 1Where a = 3 and b = 3The plane is z = xThe region is bounded below by the xy-plane Thus, the volume of the region can be found by integrating z = x with limits of x² + y² ≤ 9.So, V = ∭ dx dy dz where the limits are given by the cylinder and the plane.V = ∫∫∫ (x) dV ... (1)Now, converting the integral into cylindrical coordinates we have,∫∫∫ (x) dV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ ... (2)x = r cos θ, y = r sin θ, and z = z.We know that the limits of x² + y² ≤ 9 in cylindrical coordinates are 0 ≤ θ ≤ 2π, 0 ≤ r ≤ 3, 0 ≤ z ≤ r cos θ.Using (2) in (1), we haveV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ= ∫θ = 0 to 2π ∫r = 0 to 3 [r² cos θ / 2] dr dθ= ∫θ = 0 to 2π [ 9 cos θ / 2 ] dθ= 9 [ sin θ ]θ = 0 to 2π= 0Thus, the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

To know more about Volume of region Visit:

https://brainly.com/question/30785714

#SPJ11

a. An exponential growth rate equation to represent the cost C₁ of this home is \(C_1 = 250000e^{0.038t}\).

b. An exponential growth rate equation to represent the cost C₂ of this home is \(C_2 = 275000e^{0.022t}\).

c. The time in which each home would reach a price of $320,000 is 6.5 and 6.8 years respectively.

d. The price of the home in the first area is lower.

In Mathematics and Financial accounting, continuous compounding interest can be determined or calculated by using this mathematical equation (formula):

\(A(t) = P_{0}e^{rt}\)

Where:

Part a.

Based on an exponential growth rate of 3.8% in the first area, the cost of this home in t years can be written as follows;

\(A(t) = P_{0}e^{rt}\\\\C_1 = 250000e^{0.038t}\)

Part b.

Based on an exponential growth rate of 2.2% in the second area, the cost of this home in t years can be written as follows;

\(A(t) = P_{0}e^{rt}\\\\C_1 = 275000e^{0.022t}\)

Part c.

At a price of $320,000 for the home, the number of years to reach this price is given by:

\(C_1 = 250000e^{0.038t}\\\\320000 = 250000e^{0.038t}\\\\1.28= e^{0.038t}\)

ln(1.28) = 0.038t

Time, t = 0.24686007793/0.038

Time, t = 6.49 ≈ 6.5 years.

\(C_2 = 275000e^{0.038t}\\\\320000 = 275000e^{0.022t}\\\\1.16= e^{0.022t}\)

ln(1.16) = 0.022t

Time, t = 0.14842000511/0.022

Time, t = 6.75 ≈ 6.8 years.

Part d.

The house with the lower price can be determined as follows;

\(C_1 = 250000e^{0.038 t}\\\\C_1 = 250000e^{0.038\times 3}\)

C₁ = 250,000 × 1.12075212488

C₁ = $280188.03122

\(C_2 = 275000e^{0.038t}\\\\C_2 = 275000e^{0.022 \times 3}\)

C₂ = $293762.347221.

In conclusion, the home in the first area is cheaper.

Read more on compound interest here: brainly.com/question/16608367

#SPJ1

49 bruuuuuuuuuuuuuuuuuuuuuuuuh

Answer:

the 4th answer option. W = 153°, P = 71°

Step-by-step explanation:

PQRS ~ TUVW

that means both figures are similar.

and that means that the angles at the corresponding vertexes are the same, and all 4 corresponding sides (and any other pair of corresponding lines like diagonals) have the same scaling factor.

we see due to the proportions of the different parts of the shapes

U corresponds to Q.

T corresponds to P.

W corresponds to S.

V corresponds to R.

therefore, as the angle at S = 153°, so is W.

and as the angle at T = 71°, so is P.

Answer:

rights

Step-by-step explanation:

I hope this is right.

The rights theories recognize that there are things we CANNOT do against individuals because they have certain moral, fundamental rights.

Answer:

the value of z is 60 degree

Answer:

D.(1,-2)

Step-by-step explanation:

y= -3x+1

when x=1

y= -3*1 +1

y=-3+1

so

y=-2

Answer:

i think it is 15820

Step-by-step explanation:

Answer:

c ) 6(-12x+10)

Step-by-step explanation:

6(-12x+10)

-72x+60

The expressions equivalent to -72x + 60 are:

A: -12(6x - 5)

C: 6(-12x + 10)

D: -6(-12x - 10)

We have,

To determine which expressions are equivalent to -72x + 60, we can simplify each expression and compare them.

Let's simplify the given expressions:

A: -12(6x - 5)

Distributing the -12:

-12 * 6x - 12 * (-5)

-72x + 60

B: -12(-6x - 5)

Distributing the -12:

72x + 60

C: 6(-12x + 10)

Distributing the 6:

-72x + 60

D: -6(-12x - 10)

Distributing the -6:

72x + 60

From the simplifications, we can see that expressions A, C, and D are equivalent to -72x + 60.

Therefore,

The expressions equivalent to -72x + 60 are:

A: -12(6x - 5)

C: 6(-12x + 10)

D: -6(-12x - 10)

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Answer:

The cost of a combo meal is $8 and a salad is $4.

Step-by-step explanation:

You have to form simultaneous equations with the given informations. Let combo meal be m and salad is s :

\(m + s = 12 - - - (1)\)

\(2m + s = 20 - - - (2)\)

Next, you have to solve these equations :

\((2) - (1)\)

\(2m + s - m - s = 20 - 12\)

\(m = 8\)

\(sub \: \: m = 8 \: \: into \: \: (1)\)

\((1)⇒\)

\(8 + s = 12\)

\(s = 4\)

Answer: 8$,4$

Step-by-step explanation:

The appropriate sample space for this experiment is { I  M P S}

The list of potential outcomes or results for the experiment is represented by the word MISSISSIPPI in the notation above. It is represented using a set notation, where the elements of the set are the possible outcomes.

to learn more about sample space with the given link

https://brainly.com/question/24273864

#SPJ4

Answer:

easy thr slope is 8 type it

Answer:

As we get older we use math in everyday life. the answer is 1/6

Step-by-step explanation:

Therefore, the coordinates of point P are approximately (4.444, -2.222, 4.444). This is the point on the plane 2x - y + 2z = 20 nearest to the origin.

To find the point on the plane nearest to the origin, we need to minimize the distance between the origin and a point on the plane.

The distance between two points, (x₁, y₁, z₁) and (x₂, y₂, z₂), is given by the formula:

distance = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)

In this case, we want to find a point (x, y, z) on the plane 2x - y + 2z = 20 that is closest to the origin (0, 0, 0).

We can set up this problem as an optimization problem by minimizing the distance function:

distance = √((x - 0)² + (y - 0)² + (z - 0)²) = √(x² + y² + z²)

subject to the constraint 2x - y + 2z = 20.

To solve this problem, we can use the method of Lagrange multipliers. We define the Lagrangian function:

L(x, y, z, λ) = x² + y² + z² + λ(2x - y + 2z - 20)

Taking the partial derivatives of L with respect to x, y, z, and λ, and setting them equal to zero, we can solve for x, y, z, and λ. However, this process is quite lengthy and involves solving a system of equations.

Alternatively, we can use geometric intuition to find the point on the plane nearest to the origin. The normal vector to the plane is given by the coefficients of x, y, and z, which is (2, -1, 2). This vector is perpendicular to the plane.

The point on the plane closest to the origin will be the one that lies on the line perpendicular to the plane and passes through the origin. Let's call this point P.

The direction vector of the line passing through the origin and perpendicular to the plane is the same as the normal vector, (2, -1, 2). Therefore, the coordinates of point P can be expressed as (2t, -t, 2t), where t is a scalar parameter.

Substituting these coordinates into the equation of the plane, we get:

2(2t) - (-t) + 2(2t) = 20

4t + t + 4t = 20

9t = 20

t ≈ 2.222

To know more about plane,

https://brainly.com/question/32067131

#SPJ11

Answer:

Step-by-step explanation:

are the what???

Answer:

1\(\frac{7}{8}\)cups

Step-by-step explanation:

2 dozen muffins = \(\frac{3}{4}\)cups

5 dozen muffins = \(\frac{5}{2}\) × \(\frac{3}{4}\)cups

                           = \(\frac{15}{8}\)cups

                           = 1\(\frac{7}{8}\)cups