Which of the following sequence of transformations takes point J(9, 1) to J'(-3, 7)?

The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

Answer:

Z<3/4

Step-by-step explanation:

z is less than 3/4.

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

Total cost = $1,481.9

Solving steps:

Step 1: And all the total requirements for each person

=> $52.95 + $18.95 + $33.95

Add all the values

=> $105.85

Step 2: Multiply it by 14

=> 105.85 × 14

multiply 105.85 by 14

=> $1,481.9

The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

Answer:

  (a)  5450

Step-by-step explanation:

The sum of an arithmetic series is the average of the first and last terms, multiplied by the number of terms.

Here, that is ...

  (5 +104)/2 × (104 -5 +1) = 109×100/2 = 5450

Answer:

(C) Q1: 55.5 Q2: 110 Q3: 295

Step-by-step explanation:

Given the dataset:

\(1,19,35,43,49,55,56,56,63,67,\\94,105,110,168,175,181,212,231,239,351,\\461,595,738,839,9857\)

There are 25 items in the dataset.

To find Q2, We divide it into two equal parts and consider the middle term

\(1,19,35,43,49,55,56,56,63,67,94,105,\\110\\168,175,181,212,231,239,351,461,595,738,839,9857\)

Therefore: Q2 =110

Q1 = the median of the lower half of the data set.

Q3 = is the median of the upper half of the data set.

In the lower half of the data

\(1,19,35,43,49,55,56,56,63,67,94,105\)

Since there are even number of terms,

Median = (55+56)/2=55.5

Therefore: Q1=55.5

In the upper half of the data

\(168,175,181,212,231,239,351,461,595,738,839,9857\)

Since there are even number of terms,

Median = (239+351)/2=295

Therefore: Q3=295

Q1: 55.5,  Q2: 110,  Q3: 295

The correct option is C.

The first, second and third quartiles of the given data set are;

Q1 = 55.5

Q2 = 110

Q3 = 295

The given dataset showing population density is;

1, 19, 35, 43, 49, 55, 56, 56, 63, 67, 94, 105, 110, 168, 175, 181, 212, 231, 239, 351, 461, 595, 738, 839, 9857.

There are 25 numbers in this dataset.

The dataset is already arranged from least to greatest and as such let us write the first 12 terms in that order and the last 12 terms and let the middle term be sandwiched between both set of 12;

First twelve terms; 1, 19, 35, 43, 49, 55, 56, 56, 63, 67, 94, 105

Middle Term; 110

Last twelve terms; 168, 175, 181, 212, 231, 239, 351, 461, 595, 738, 839, 9857

A) The first quartile is the median of the First twelve terms. Since there are even digits, then;

Median = (sum of two middle terms)/2

Median = (55 + 56)/2

Median = 55.5

Thus;

First Quartile; Q1 = 55.5

B) Second quartile is the median of the original set of 25 numbers and it is 110.

Thus;

Second quartile; Q2 = 110

C)  The third quartile is the median of the last twelve terms. Since there are even number of digits, then;

Median = (239 + 351)/2

Median = 295

Thus;

Third Quartile; Q3 = 295

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Answer:

1 2/3

Step-by-step explanation:

Well we divide 75 by 45 which is 1.6 repeating and that as a fraction is 1 2/3.

Thus,

the scale factor that relates the 2 triangles is 1 2/3.

Hope this helps :)

Answer:

Step-by-step explanation:

There can be many explanations to this, but I do need more information. It could be 12x-2.5, 48x-10. See what I mean?

Answer: 203

Step-by-step explanation:

4n by 6h and 24x

Answer: -27

Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.

3, 9, -3, 3, -9, -3, -15, -9, -21, ?

We can start by looking at the differences between consecutive terms in the list:

9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12

Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:

-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21

Therefore, we predict that the most probable next number in the list is -27.

The equation that can be used to show how many ounces of spicy sauce Bert's uncle usually put in is given as A: 3(u - 2) = 24

It should be noted that algebraic equations are ths equations that have coefficients and unknown variables in them.

Let's represent each ounce of hot sauce as u

Hence, the equation to show how many ounces of spicy sauce Bert's uncle usual put in is given as:

3(u - 2) = 24

Therefore, the equation that can be used to show how many ounces of spicy sauce Bert's uncle usually put in is given as: 3(u - 2) = 24.

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Bert made 3 batches of his uncle's signature spicy wing sauce for a barbecue last weekend. He didn't want the sauce to be too spicy, so he tweaked the recipe, reducing the amount of hot sauce he put in each batch by 2 ounces. Bert used 24 ounces of hot sauce in all to make the wing sauce.

Which equation can you use to find u, the amount of hot sauce Bert's uncle usually puts in each batch of spicy wing sauce?

3(u - 2) - 24

2(0 - 3) - = 24

3u - 2 = 24

2u - 3 = 24

Answer:

3(u - 2) = 24

He used 10 ounces of hot sauce.

Answer:

22

Step-by-step explanation:

9 + 8 + 14 = 22

I hope this helps!

Answer:

7

Step-by-step explanation:

115/17=6.7..... Round up to 7.

7 boxes should be the answer

The weighted average length of a nail from the carpenter's box whose distribution is give in image is: 3.5cm.

What is weighted average ?

Weighted average is a type of average that takes into account the relative importance or weight of each data point. In a weighted average, each data point is multiplied by a corresponding weight, which reflects its relative importance, and the products are then summed and divided by the sum of the weights.

To find the weighted average length of a nail, we need to multiply each nail length by its percent abundance, then add up all the products and divide by the total percent abundance.

Let's start by calculating the product of each nail length and its percent abundance:

Short nail: (2.5 cm) x (70.5%) = 1.7625 cm

Medium nail: (5.0 cm) x (19%) = 0.95 cm

Long nail: (7.5 cm) x (10.5%) = 0.7875 cm

Now, we add up all the products:

1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm

Finally, we divide by the total percent abundance:

70.5% + 19.0% + 10.5% = 100%

Therefore, the weighted average length of a nail from the carpenter's box is: 3.5 cm ÷ 100% = 3.5cm

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Answer:

153.86 cm² and 43.96

Step-by-step explanation:

The formula to find the area of a circle is A = πr²
A = 3.14(7)²
A = 3.14(49)
A = 153.86
To find the circumference, use the formula C = π2r
C = 3.14*2*7
C = 43.96
The area of the circle is 153.86 cm² and the circumference of the circle is 43.96.
Hope this helps :)

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Answer:

4 1/10 when u have a inproper fraction like that every 10 is one whole number

The equivalent ratios are 8: 6 and 12:9.    

Two ratios are equivalent if they represent the same proportion or relative size. To find an equivalent ratio, we can multiply both terms of the ratio by the same non-zero number. This doesn't change the condition between the two terms.  

Here we have 4:3

To find equivalent ratios, we can multiply both terms by the same number.

Multiplying by 2

=> 4 × 2 : 3 × 2

=> 8 : 6

Multiplying by 3

=> 4 × 3 : 3 × 3

=> 12: 9

Therefore,

The equivalent ratios are 8: 6 and 12:9.    

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Complete Question

What is the equivalent ratio for 4: 3

P(x) ≈ 0.00183105 when we use the binomial probability formula to find P(x) , n = 16, x=2, P= 1/2.

Define binomial probability ?

Binomial probability is a probability distribution that summarizes the likelihood of a particular number of successes in a fixed number of independent trials, each with the same probability of success. It is a discrete probability distribution because it deals with a finite number of possible outcomes, usually represented as either success or failure.

The binomial probability formula is:

\(P(x) = (^nC_x) * p^x * q^{(n-x)\)

where:

n = number of trials

x = number of successes

p = probability of success in a single trial

q = probability of failure in a single trial (q = 1 - p)

\(^nC_x\) = number of ways to choose x items from a set of n items (also known as "n choose x")

Using this formula with n = 16, x = 2, and p = 1/2, we get:

\(P(x) = (^{16}C_2) * (1/2)^2 * (1/2)^{(16-2)\)

= (120) * (1/4) * (1/16384)

= 0.00183105

Therefore, P(x) ≈ 0.00183105.

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Step-by-step explanation:

I hope this answer is helpful ):

The quotient gives (f/g)(4) = -16/3 and the value that is not in the domain is x = 1.

Here we know that:

f(x) = (x + 4)(x - 6)

g(x) = x - 1

And we want to find the quotient between these functions:

(f/g)(4)

So first let's find the values of the functions when x = 4.

f(4) = (4 + 4)*(4 - 6) = 8*-2 = -16

g(4) = 4 - 1 = 3

Then the quotient is:

(f/g)(4) = -16/3

Now, the values that are not in the domain of f/g are the values that make the denominator equal to zero, because we can't divide by zero.

g(x) = 0 = x - 1

         1  =x

The denominator is zero for x = 1, so that value is not in the domain.

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He should add 7.5 or 7 1/2 cups of water.

Cup of concentrate = 1

Cup of water = 1 1/2

                     = 3/2

                     = 1.5

Cups of concentrate = 5

Cups of water = 5 * 1.5

                       = 7.5

                       = 15/2

                       = 7 1/2

Hence, He should add 7.5 or 7 1/2 cups of water.

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Answer:

The total cost per month is $190.76 to the nearest cent.

Step-by-step explanation:

From the given table, the monthly service plan costing $52.00 is:

The base calling plan includes two lines.

Therefore, for 4 lines, we will need to pay for 2 additional lines per month:

⇒ $21.99 × 2 = $43.98 per month

If 3,487 minutes are used per month, then the overage of minutes is:

⇒ 3487 - 2000 = 1487 minutes per month

As the overage rate is $0.06 per minute, then the cost of the additional minutes is:

⇒ 1487 × $0.06 = $89.22 per month

Therefore, the total cost per month before tax is:

⇒ $52.00 + $43.98 + $89.22 = $185.20

To apply the federal tax of 3%, multiply the total cost by 1.03:

⇒ $185.20 × 1.03 = $190.756 = $190.76 (nearest cent)

Therefore, the total cost per month is $190.76 to the nearest cent.

The sum of the two rational equations is equal to (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²).

In this question we must use algebra definitions and theorems to simplify the addition of two rational equations into a single rational equation. Now we proceed to show the procedure of solution in detail:

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Answer:

3/2 or 1 1/2

Step-by-step explanation:

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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The width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.

An area is a unit of measurement used to describe the size of a region on a planar or curved surface. While a plane region or area refers to the area of a shape or planar lamina, a surface region or plane area refers to the area of an open surface or the boundary of a three-dimensional object.

Given:

The initial length of the image, l = 6 inches,

The initial width of the image, w = 4 inches,

The reduced length of the image, L = 4 inches,

The area of the initial image = The area of the reduced image,

l × w = L × W

Here W is the reduced width.

Substitute the values,

6 × 4 = 4 × W

W = 6 inches,

Therefore, the width of the image which was photocopied by Jackie and has an initial length of 6 inches and width of 4 inches is 6 inches.

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