Which table represents the same relation as the set {(-6,4).(-4,0).(-3,2).(-1,2]}}
х
-6
4
-4
0
-3
2
-1
2
х
-6
.4
3
1
y
4
0
2
2
х
6
4
3
у
4
0
SINI

The question that is a statistical question is "How many miles did your family drive last week?"

A statistical question is a question that requires collecting and analyzing data to answer.

It involves investigating a specific variable or variables and determining patterns, trends, or relationships within the data.

The question "How many miles did your family drive last week?" is statistical, as it involves collecting and analyzing data related to a specific variable (miles driven) over a certain period of time (last week).

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Answer:

any number from 6 and above

Answer:

<YTZ

Step-by-step explanation:

Vertical angles are congruent.

<VTW measures 40°.

<YTZ is vertical to angle VTW.

m<YTZ = m<VTW

m<YTZ = 40°

Answer: <YTZ

The law of syllogism is illustrated below.

It should be noted that syllogism is simply used for making logical decisions.

In this case, if two numbers are odd, the sum of the numbers will be even. If a number is even, then the number is divisible by 2.

This can be illustrated as:

3 + 5 = 8

Odd + Odd = Even

8 can also be divided by 2 to get 4.

Therefore the Law of Syllogism is used to illustrate the true conditional

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Answer:

Step-by-step explanation:

Statements                                 Reasons

DA  ≅ WG                                   Given

WA ≅ DG                                    Given

DW ≅ WD                                  Reflexive property

ΔDAW ≅ ΔWGD                        SSS

(a)let A=event that first k-1 draws will get r-1 red balls

let B=event that last (kth) draw will get rth red ball

P(kth draw is the rth red ball)= P(A AND B) = P(A)xP(B)

(b)P(A)=  # of  ways to draw r-1 red balls in k-1 trail

         # of ways to draw k-1 balls

RBBB *R is one way to achieve P(A AND B)

BBBR *R is another way.

(c)There are n−(r−1) red left, and a total of (m+n)−(k−1) balls left, so the (conditional) probability of drawing a red on the kth trial is n−r+1/m+n−k+1 Thus our required probability is

So,  P(A)= nC(r-1) x mC(n-r) x 1/(n+m)C(k-1)

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Answer:

B

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) ÷ \(a^{n}\) = \(a^{(m-n)}\) , then

\(6^{9}\) ÷ 6³ = \(6^{(9-3)}\) = \(6^{6}\)

65, 78, 91, 104

To find out how to get the next 4 multiples of the same number, you would subtract the numbers you already have from each other.

You would take 52 - 39, and you would get 13.

Then you would take 39 - 26 and get also get 13.

See the pattern?

52 - 39 = 13

39 - 26 = 13

26 - 13 = 13

Each of the numbers subtracted from each other equals 13, that means to get the next set of numbers you would add 13 on to the previous number.

52 + 13 = 65

65 + 13 = 78

78 + 13 = 91

91 + 13 = 104

Hope this helps! :)

The integral of ln[(\(x^3\) - 1)/(\(x^2\) - 2x + 1)] is ln(\(x^2\) + x + 1) - (x - 1) × ln(x - 1) + (x - 1) + C, where C is the constant of integration.

To find the integral of ln[(x^3 - 1)/(\(x^2\) - 2x + 1)], we can use a combination of algebraic manipulation and integration techniques.

First, let's simplify the expression inside the natural logarithm. We can observe that \(x^2\) - 2x + 1 is actually the square of (x - 1). Therefore, we can rewrite the expression as:

ln[(\(x^3\) - 1)/(\(x^2\) - 2x + 1)] = ln[(\(x^3\) - 1)/(x - 1)^2]

Now, we can rewrite the numerator \(x^3\) - 1 as (x - 1)(\(x^2\) + x + 1). So the expression becomes:

ln[((x - 1)(\(x^2\) + x + 1))/(x - 1)^2]

Next, we can simplify further by canceling out the common factor (x - 1):

ln[(\(x^2\) + x + 1)/(x - 1)]

Now, let's proceed with integration. We can split the logarithm into two separate terms:

ln(\(x^2\) + x + 1) - ln(x - 1)

The integral of ln(\(x^2\) + x + 1) can be evaluated using integration by parts or other techniques. However, it does not have a simple, elementary function as an antiderivative. So, the integral of ln(\(x^2\) + x + 1) remains as ln(\(x^2\) + x + 1).

The integral of ln(x - 1) can be found by applying a substitution. Let u = x - 1, then du = dx. The integral becomes:

∫ln(u) du

Integrating ln(u) gives:

u ×ln(u) - u + C

Now, substitute back u = x - 1:

(x - 1) × ln(x - 1) - (x - 1) + C

Therefore, the integral of ln[(\(x^3\) - 1)/(\(x^2\) - 2x + 1)] is:

ln(\(x^2\) + x + 1) - (x - 1) × ln(x - 1) + (x - 1) + C, where C is the constant of integration.

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Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

the mean to be set to ensure a 95 per cent probability that a half-litre bottle will not be underfilled is 0.46 litre.

We need to know how the half-litre bottles were filled in order to respond to this query. Let's assume that the filling amounts are distributed normally, with mean and standard deviation being and, respectively.

This would ensure that there is a 95 per cent chance that a half-litre bottle will not be underfilled.

We may determine that the z-score for the left tail area of 0.025 using the usual normal distribution table or calculator is -1.96.

hence,

μ = 0.5 + (-1.96) * σ

where the predicted fill level for a half-litre bottle is 0.5 and the z-score for the 2.5th percentile of the normal distribution is -1.96.

To calculate, multiply 0.46 litres by (0.5 * (-1.96 * 0.02)) (rounded to 2 decimal places)

therefore,

A 0.46 litre mean filling capacity ensures that a half-litre bottle won't be underfilled 95% of the time.

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Answer:

the mean number of pets is 4.

Step-by-step explanation:

if you add all of the numbers together, you get 28. Then you divide 28 by the amount of students.

The Slope of diagonal FH is -1/3.

The slope of diagonal FH, we first need to determine the equation of the line containing diagonal GE. Given that diagonal GE lies on the line y - 3 = 3(x + 4), we can rewrite this equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

Starting with the equation y - 3 = 3(x + 4):

y - 3 = 3x + 12

y = 3x + 12 + 3

y = 3x + 15

Now, that diagonals in a square are perpendicular to each other, meaning their slopes are negative reciprocals of each other. To find the slope of diagonal FH, we need to find the negative reciprocal of the slope of diagonal GE.

The slope-intercept form of the equation for diagonal FH can be represented as y = mx + b, where m is the slope we need to find.

The slope of diagonal GE is 3. The negative reciprocal of 3 is -1/3. Therefore, the slope of diagonal FH is -1/3.

Hence, the slope of diagonal FH is -1/3.

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Answer:

it a 26.64 units. hope it helps

Answer:

P of b=7/20

P of g=3/20

P of y=6/20=3/10

P of p=4/20=1/5.

Step-by-step explanation:

there are in total 20 tiles so S=20

there are 7 blue tiles so P=E/S=7/20

there are 3 green tiles so P=E/S=3/20

there are 6 yellow tiles so P=E/S=6/20=3/10.

there are 4 purple tiles so P=E/S=4/20=1/5

Answer:

y=-2x+15

Step-by-step explanation

A perpendicular line always has the opposite reciprocal slope of the line it is 90 degrees from.

Since the slope of the other line is 1/2, the slope of this line must be -2. And with the slope of a line -2 with point (4,7), you can start plugging in numbers.

y=-2x+b

7= -2(4)+b

7= -8+b

15=b

Therefore, the equation of the line is y=-2x+15

x+y≥9, 5x+10y≤70 and x≥0 and y ≥ 0 are the required system of linear inequalities that shows all possible combinations of the plants Emma could purchase.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Emma is buying new herbs for her garden

Basil plants cost $5 each and mint plants cost $10 each.

She wants to buy at least 9 plants but cannot spend more than $70.

Let x represents the number of Basil plants

y represents the number of mint plants

x+y≥9

5x+10y≤70

x≥0 and y ≥ 0

Now x=9-y

5x+10y≤70

5(9-y)+10y=70

45-5y+10y=70

45+5y=70

Subtract 45 on both sides

5y=70-45

5y=25

Divide both sides by 5

y=5

x+5=9

x=4

Hence, x+y≥9, 5x+10y≤70 and x≥0 and y ≥ 0 are the required system of linear inequalities that shows all possible combinations of the plants Emma could purchase.

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Given: 140 students have I-Phones

Find: How many students have other types of phones

Variable: Independent variable- Survey, Dependent variable- Types of phones

Equation: 140 divided by 4

Solution: is

4/140

4/14= 3

4/20= 5

4/140 = 35

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I just want to write this just in case (you dont have to read this) Many people like myself have alot of problems with math, its really hard! Just keep on trying, I know that everybody says that but please take it into consideration. Work hard, have a nice day!

The Relative Maximum will be (7, 50) and minimum is (12, 0).

We have the graph showing average low temperatures in international falls minnesota.

From the graph the maximum y coordinate is 50.

So, the Relative Maximum will be (7, 50).

and, the minimum y coordinate is 0.

So, the Relative minimum is (12, 0)

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Missy will need a minimum of 570 square inches of wrapping paper to completely cover the box.

To calculate the minimum amount of wrapping paper needed to cover the box, we need to find the surface area of the box.

A rectangular box has six sides: a top, a bottom, two sides, and two ends.

The top and bottom sides have the same dimensions, which are 17.5 inches by 10 inches. So each of these sides has an area of 17.5 in × 10 in = 175 square inches.

The two side surfaces also have the same dimensions, which are 17.5 inches by 4 inches.

Each of these sides has an area of 17.5 in × 4 in = 70 square inches.

The two end surfaces have the same dimensions, which are 10 inches by 4 inches. Each of these sides has an area of 10 in × 4 in = 40 square inches.

To find the total surface area of the box, we add up the areas of all six sides:

175 in² (top) + 175 in² (bottom) + 70 in² (side 1) + 70 in² (side 2) + 40 in² (end 1) + 40 in² (end 2)

Total surface area = 570 in².

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Answer:

125

Step-by-step explanation:

N150=120%

? =100

150×100/120

=125

The cost price of the good is $125.

Cost price is the total amount of money that it costs a manufacturer to produce a given product or provide a given service.

Given that a good has been sold for $150 which made a profit of 20% we need to find the cost price of the good,

Let the cost price be x,

So,

x × 120% = 150

x = 150 × 100 / 120

x = 125

Hence the cost price of the good is $125.

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The congruence theorem that proves that ΔWXZ ≅ ΔYZX is: a.AAS

What does a math congruent mean?

Congruent refers to having precisely the same form and size. Even after the forms have been flipped, turned, or rotated, the shape and size ought to remain constant.

The image given shows that

∠W ≅ ∠Y

∠X ≅ ∠Z

XZ ≅ XZ

Therefore, the congruence theorem that proves that ΔWXZ ≅ ΔYZX is: a.AAS

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The answer in fraction form is 57/1 = x/6

Because the time is the denominator and the WPM is the numerator

Answer:

60°

Step-by-step explanation:

In similar triangles, the corresponding angles are congruent.

          ∠O = R

          O = 70°

In ΔOMN,

      ∠O + ∠M + ∠N = 180     {Angle sum property of triangle}

       70 + 50 + Ф    = 180

               120 + Ф  = 180

Subtract 120 from both sides,

                        Ф  = 180 - 120

                         Ф = 60°  

Answer:

x = -1

Step-by-step explanation:

If you need step by step just let me know!

Hopefully that helps!

Answer:

Step-by-step explanation:

Alright we are going to be simplifying

-4(x - 4) = 20  Divide sides by -4

x-4=-5

So,

x-4=-5  Add 4 to the sides

x-4+4=-5+4

-1

So therefore, your answer is x=-1