(03.01 MC)
Evaluate
ultiple Choice Worth 6 points)
x³-5x²+2x-6
x-1
10
X-1
Ox²-6x-2--
Ox²-4x-2-1
8
8
X-1
Ox³-6x-2--
10
X-1
Ox²-4x+6--

Degree of freedom for chi-square test for 10 categories will be 9.

What is chi- square test?

A test that evaluates how well a model matches real observed data is that the chi-square (χ²) statistic. A chi-square statistic can only be calculated with data that's random, unprocessed, mutually exclusive, obtained from independent variables, and drawn from a large enough sample.

The Formula for Chi-Square Is

χ(c)=²∑(Oₐ-Eₐ)₂/Eₐ²

where:

c=Degrees of freedom

O=Observed value(s)

E=Expected value(s)

​

Main Body:

Degree of freedom = total categories -1

so no. of categories= 10

Degree of freedom = 10 - 1

Hence degree of freedom = 9

To learn more about chi- square test click on the link below

https://brainly.com/question/4543358

#SPJ4

The absolute value of 4 by 3 would be 3.33

What is the absolute value?

The absolute value or modulus of a real number x denoted |x| in mathematics, is the non-negative value of x regardless of its sign.

We have to find the absolute value of 4/3.

So |4/3| = |3.33|

             = 3.33

Hence, the absolute value of 4 by 3 would be 3.33

To learn more about absolute values, visit:

https://brainly.com/question/12928519

#SPJ4

0.86 of the exam scores are between 68 and 77.99 points

Since the set of computer science exam scores are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x-μ)/σ

Where

X = computer science exam scores.

μ = mean score

σ = standard deviation

From the information given,

μ = 71.33 points

σ = 333 points

We want to find the proportion of the exam scores are between 68 and 77.99 points. It is expressed as

P(68 < x ≤ 77.99)

For x = 68,

z = (68 - 71.331)/333 = - 0.01

Looking at the normal distribution table, the probability corresponding to the z score is -0.01

For x = 68,

z = (77.99 - 71.33)/333 = 0.25

Looking at the normal distribution table, the probability corresponding to the z score is 0.25

P(68 < x ≤ 77.99) = 0.25 + 0.01 = 0.26

To learn more about probability click here https://brainly.in/question/16017018

#SPJ4

0.68 is the variable is normally distributed when standard deviation is r29. 44.

What is standard deviation in math?

μ = 146.21   σ = 23.44         x ~ n

P{ x < 160 } = ρ{ x - μ/σ < 160 - 146.21/29.44 }

                  = ρ{ z < 0.47 }

                   = 0.6808

                  ≈ 0.68

Learn more about standard deviation

brainly.com/question/16555520

#SPJ4

The equation that represents the altitude h of the balloon over time.

h = 1500t.

Option B is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 5 is an equation.

3x + 5x = 5 is an equation.

We have,

A hot air balloon rises 1,500 feet in 25 minutes.

This means,

25 minutes = 1,500 feet

h = altitude

The equation that represents the altitude h of the balloon over time.

h = 1500t.

Thus,

The equation that represents the altitude h of the balloon over time.

h = 1500t.

Option B is the correct answer.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

Based on the box plot, the number of students that gained more than 48 marks is 80 students.

In Mathematics, the five-number summary of any box and whisker plot include the following:

By critically observing the box and whisker plots which represent the scores of students in a test, we can reasonably and logically deduce that the third quartile (75%) is 70 and the median score is 48. Therefore, we would calculate the total number of students as follows:

Total number of students = 75/100 × T

120 = 0.75T

T = 120/0.75

T = 160 students.

From the median score of 48, the number of students that gained more than 48 marks is given by:

Students = 50/100 × 160

Students = 50/100 × 160

Students = 80 students.

Read more on box plot here: brainly.com/question/14277132

#SPJ1

The equation of the line passing through point (2,4) and having a slope of 3/2 is y = (3/2)x + 1.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the data in the question;

Point: (2,4)

First, we determine the y-intercept of the line 'b'.

Plug the slope and coordinates of the point into y = mx + b and solve for b.

y = mx + b

4 = (3/2)2 + b

4 = 3 + b

4 - 3 = b

b = 1

Now, plug the slope and y-intercept into y = mx + b to determine the equation of the line.

y = mx + b

y = (3/2)x + 1

Therefore, the equation of the line is y = (3/2)x + 1.

Learn more about equation of line here: brainly.com/question/2564656

#SPJ1

The sides of the triangle are 17, 19 and 21 and 19 is middle of the three side lengths.

What are triangles?

Let the side of triangle = x

x-2, x, x+2 are the three sides and their sum is 3x.  

3x = 57

 x = 57/3

 x = 19.

Learn more about triangle

brainly.com/question/2773823

#SPJ13

Using the SSA method, the maximum number of triangles that can be generate is 1.

In the given question,

In SSA case for an obtuse angle, we have to find the maximum number of triangles that can be generate with the given information.

As we know that,

There cannot be a second obtuse angle if the specified first angle is already obtuse since the triangle's angle total would be greater than 180°. As a result, there is only one way to construct the triangle, making SSA a valid congruence theorem when the supplied angle is acute.

So the maximum number of triangles that can be generate is 1.

To learn more about SSA method link is here

brainly.com/question/10582575

#SPJ4

The cost for Enrique's ad which he wants to run for 3 weeks is $207

Given,

Number of lines in Enrique's ad = 6 lines

Charge for first two lines of ad = $42

Charge for extra lines after 2 lines = $6.75 each

The above given charges are for one week.

We have to find the cost for Enrique's ad which he wants to run for 3 weeks;

Here,

Total charge for Enrique's ad = 42 + (4 x 6.75) = 42 + 27 = 69

Enrique's 6 line ad charges $69 for a week

Now,

Charge of ad for 3 weeks = 69 x 3 = 207

That is,

The cost for Enrique's ad which he wants to run for 3 weeks is $207

Learn more about charge for ad here;

https://brainly.com/question/15463682

#SPJ1

The probability that river chooses a number "7" is 300/2889 or 100/963.

The numbers 1, 2, 3,..., 999 are noted.First, we count all the digits that have been recorded.

1 through 9 equals nine digits.

10 digits equals 2(99 - 10 + 1) = 2(90) digits.

100-999 = 3(999-100+1) = 3(900) digits.

Total digits: 9 + 2 (90) + 3 (900) = 2889

Digit 7 values between 1 and 999

7 appears 100 times every decade in the Units place (7, 017... 997)=10 X 10 times.

Seven appears ten times in the Tens position per century (70-79, 170-179,..., 970-979), which equates to 10 X 10 or 100 times.

The number 7 appears 100 times in the hundreds' place (700, 701,..., 799)

As a result, between 1 and 999, the number 7 will appear a total of 300 times.

Consequently, the likelihood of choosing "7" is equal to 300/2889.

= 100/963

Learn more about  probability :

brainly.com/question/9793303

#SPJ4

The measure of m∠X is 70°

From the question, we have

Sum of interior angles of a triangle is equals to 180 degree

∠W+∠X+∠V=180°

2∠W+∠V=180°

2∠W+40°=180°

2∠W= 180°-40°

2∠W=140°

∠W = 70°

∠W = ∠X = 70°

Subtraction:

The process of removing items from a collection is represented by subtraction. Subtraction is represented by the minus sign. If, for instance, there are nine oranges stacked together (as shown in the above figure), and four of those oranges are then moved to a basket, the stack will contain nine minus four oranges, or five oranges. As a result, 9 minus 4 equals 5, or the difference between 9 and 4. Incorporating subtraction into other types of numbers is possible in addition to using it with natural numbers.

Complete question:

In triangle VWX above, overline VW = overline VX and angle V = 40 degrees. What is the measure of m∠X

To learn more about subtraction visit: https://brainly.com/question/2346316

#SPJ9

The fraction of the container that is empty, based on the capacity of the container and the water added, is 12 / 25

The fraction of the container that is empty can be found by the formula:

= (Capacity of container - Amount of water added ) / Capacity of container

Capacity of container = 2.5 liters

Amount of water added = 1 . 3 liters

The fraction of the container which is empty is:

= (2 . 5 - 1.3) / 2.5

= 1.2 / 2.5

= (1 . 2 x 10) / ( 2 . 5 x 10)

= 12 / 25

Find out more on fractions at https://brainly.com/question/16636156

#SPJ1

Answer:

red grapes cost the most

Step-by-step explanation:

7 bags of red grape cost $24.50 4 bags of green grapes cost $15 what type of grapes is more expensive?

24.5/7 = $3.50 per bag

15/4 = $3.75 per bag

So, the red grapes cost more per bag.

The primary tool for determining whether the assumptions made about the regression model are appropriate is residual analysis.

Regression analysis is a collection of statistical techniques used in statistical modelling to estimate the associations between a dependent variable and one or more independent variables. Regression analysis is a mathematical method for determining which of those factors has an effect.

Regression analysis is an effective statistical tool for examining the connection between two or more variables of interest. When the dependent and independent variables are connected in a linear or nonlinear form and the goal variable has a set of continuous values, it is extensively employed. As a result, regression analysis methodologies aid in the establishment of causal links between variables, as well as in the modelling of time series and forecasting.

To learn more about regression, visit :

https://brainly.com/question/15404525

#SPJ4

The value of the blocks he used is 80 blocks.

The difference is that expressions, which are essentially mathematical "phrases," do not contain an equal sign. Equations have an equal sign and demonstrate that two mathematical expressions are equivalent. An algebraic equation is 2x + b = 14, but 2x + b is an algebraic expression.

Arithmetic operations are the most fundamental type of mathematical expression. Any combination of numbers and a mathematical operation, such as multiplication, addition, subtraction, or division, are considered arithmetic operations.

Given ,

A)How many blocks has he used?

150-70

= 80

B) 35 - 20

= 15

70/15

= 4

Therefore the value of the blocks he used is 80 blocks

To learn more about mathematical expression refer to:

https://brainly.com/question/1859113

#SPJ1

Andre made a mistake after getting 14x=8x. He divided each side by x, but this is not valid since x may be 0 and dividing by 0 gives an undefined result.

Andre should have collected the like terms in order to have all the variables x on one side before taking the difference.

Inequality expression

Given the inequality expression solved by andre expressed as:

14x + 3 ≤ 8x + 3

Simplify to have:

14x - 8x ≤ 3-3

6x ≤ 0

x ≤ 0

Hence andre should have collected the like terms in order to have all the variables x on one side before taking the difference.

To learn more about divided here:

https://brainly.com/question/15381501

#SPJ1

If the rate of change is constant, the volume of the water in the pond by the year 2030 will be 147 gallons.

Define volume.

Any three-dimensional solid's volume is just the amount of space it takes up. It can be any shape like a cube, cuboid, cone, cylinder, etc. Various forms have various volumes. We have studied the several solids and forms that are specified in three dimensions, such as cubes, cuboids, cylinders, cones, etc., in 3D geometry. The SI unit of volume is cubic units.

Solution Explained:

Based on the conditions given in the question, we formulate as follows

(612 X (2024 - 2020) + (612 - 798) X (2030 - 2020) / (2024-2020)

= (612 X 4 - 186 X 10) / 4
= (2448 - 1860) / 4
= 588 / 4
= 147

Therefore, by 2030 the volume of the water in the pond will be 147 gallons.

To learn more about volume, use the link given
https://brainly.com/question/23963432
#SPJ1

Answer:thhe one on top good

Step-by-step explanation:

Answer:

f(x) = 1/2x + 3

Answer:

3/2

Step-by-step explanation:

(y2-y1)/(x2-x1)

(-1-2)/(-4+2)

-3/-2

the slope of the line is 3/2

The equation to represent the total amount paid for the book is p=6c.

An equation is a combination of two or more variables in which the two mathematics expressions are equal.

Given that,

Book bought by Agustin = c,

Price for the book = 6 $

The total amount paid by Agustin = Number of books × price of books

Amount  =c×6,

p=6c $.

The amount paid by Agustin is p=6c $.

To know more on Equation:

https://brainly.com/question/15707224

#SPJ1

Answer:

Step-by-step explanation:

Domain is the input

Range is the output

Function is the equation that is set up by the given information

1)

Domain   2 to 8

Range   1 to 6

Yes, this is a function

2)

Domain  2 to 3

Range  7 to 13

No, this is not a function , b/c functions need a 1 to 1 correspondence

3)

Domain  0 to 4

Range   -1 to 5

No, this is not a function , b/c functions need a 1 to 1 correspondence

Answer:

turning point = (- 2, - 7 )

Step-by-step explanation:

the vertex form of a parabola is

y = a(x - h)² + k

where (h, k ) are the coordinates of the turning point ( vertex) and a is a multiplier.

given

y = x² + 4x - 3

to complete the square

add/ subtract ( half the coefficient of the x- term)² to x² + 4x

y = x² + 2(2)x + 4 - 4 - 3

y = (x + 2)² - 7 ← in vertex form

with turning point (- 2, - 7 )

Answer:

B. [tex](x-3)^2+(y-1)^2=4[/tex]

Step-by-step explanation:

Standard equation of a circle with a center at C=(3,1) and radius 2 is:

[tex](x-3)^2+(y-1)^2=4[/tex]

The equation of a circle with center at (h,k) and a radius of r is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

In this example h=3, k=1 and r=2, so after substituting into above formula we have:

[tex](x-3)^2+(y-1)^2=2^2\\(x-3)^2+(y-1)^2=4[/tex]

Thanks.

Answer:

[tex]6\frac{3}{8}[/tex]

Step-by-step explanation:

to multiply fractions turn them into improper fractions and then multiply numerator by numerator and denominator by denominator

-4 1/4*-1 2/4

-17/4*-6/4

102/16

51/8

6 3/8

Hopes this helps please mark brainliest

The multiplication of the quotient and the fraction is 1 (2/5).

A fraction is a part of the whole represented by a/b, where a and b are any integers.

The given expression is (1/5) × 7.

Perform the multiplication:

(1/5) × 7

= 7/5

= 1 (2/5)

Hence, the multiplication of the quotient and the fraction is 1 (2/5).

Learn more on fractions here:

brainly.com/question/10354322

#SPJ1

The formula to find the length l of a baking sheet that has an area of 117 square units is l = 117/w.

According to the question,

We have the following information:

Formula to find area = lw

Now, l is the length of a baking sheet.

Area of a baking sheet = 117 square units

So, we have the following expression:

lw = 117

Now, in order to find the value of l, we will divide both sides by w:

l = 117/w units

Hence, the formula to find the length l of a baking sheet that has an area of 117 square units is l = 117/w.

To know more about formula to find the length here

https://brainly.com/question/11847688

#SPJ1

The standard deviation is 70 %.

acc to our question=

learn more about sd click here:

https://brainly.com/question/475676

#SPJ4

The image is then dilated by a scale factor of half with a center of dilation of (1, 2); Preimage (8, 4), (4, -4), and (1, 2) → Image (1, 2), (2.5, -1), and (4.5, 3).

A rigid transformation (also called an isometry) is a transformation of the plane that preserves length. In a rigid transformation the pre-image and image are congruent (have the same shape and sizes).

The coordinates of the vertices of the preimage will be;

(5, 10), (2, 4), (9, 2)

The coordinates of the vertices of the image will be;

(-9, -2), (-2, -4), (-5, -10)

This is equivalent to a reflection about the origin, and a rotation of 180° clockwise or anticlockwise about the origin.

Part B: Figure 2 to Figure 5

The coordinate points of figure 2 will be;

(-9, 2), (-5, 10), and (-2, 4)

The coordinate points of figure 5 will be;

(1, 2), (2.5, -1), and (4.5, 3)

The lengths of the sides of figure 2 will be;

√((10 - 2)² + ((-5) - (-9))²) = 4·√5

√((10 - 4)² + ((-5) - (-2))²) = 3·√5

√((2 - 4)² + ((-9) - (-2))²) = √53

The lengths of the sides of figure 5 will be;

√(((-1) - 2)² + (2.5 - 1)²) = (3·√5)/2

√((4.5 - 2.5)² + (3 - (-1))²) = 2·√5

√((4.5 - 1)² + (3 - 2)²) = (√53)/2

Thus, Figure 5 is Figure 2 dilated by a scale factor of 1/2(half )

Therefore, the given sides of Figure 2 and Figure 5 are rotated by 180°

1) The rotation of figure 2 by 180° about the origin to get;

(-9, 2), (-5, 10), and (-2, 4) →   (9, -2), (5, -10), and (2, -4)

2) The image is translated left by 1 blocks and up by 6 blocks as;  

(9, -2), (5, -10), and (2, -4)  →   (8, 4), (4, -4), and (1, 2)

3) The image is then dilated by a scale factor of half with a center of dilation of (1, 2);

Preimage (8, 4), (4, -4), and (1, 2) → Image (1, 2), (2.5, -1), and (4.5, 3).

Learn more about rigid transformations;

https://brainly.com/question/7070983

#SPJ1