11/18% of a quantity is equal to what fraction of the quantity?

Answers

Answer 1

Answer:

22/36

Step-by-step explanation:

11 × 2

18 × 2

= 22/36

Answer 2

Answer:

0.61

Step-by-step explanation:

It is the answer because our fraction is 61.111111111111/100, which means that 11/18 as a percentage is 61.1111%.


Related Questions

in analysis of variance, a factor is defined as multiple choice question. a categorical independent variable that explains variation in a response, or dependent, variable. a quantitative dependent variable which has variation that we are attempting to explain. a categorical variable that we are using to determine proportions. a categorical dependent variable which has variation that we are attempting to explain.

Answers

A factor in analysis of variance is defined as a categorical independent variable that explains variation in a response, or dependent, variable.

This means that the factor is a grouping variable that separates the observations into distinct categories or levels that we believe may have an effect on the response variable. The response variable is a quantitative dependent variable which has variation that we are attempting to explain. We use the factor to explain the differences or variability in the response variable. It is important to note that the factor can only explain differences if there is variation in the response variable to begin with. If there is no variation in the response variable, then the factor will not have an effect. In summary, the factor is a categorical variable that we use to explain the variation in a quantitative dependent variable. This is a long answer but I hope it helps clarify the concept of a factor in analysis of variance.
In analysis of variance, a factor is defined as a categorical independent variable that explains variation in a response, or dependent, variable.

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Which transformation does NOT preserve congruent figures?

Answers

dilations is the answer

Answer:

dillations

Step-by-step explanation:

need help with 12 or 14 either one doesn’t matter

need help with 12 or 14 either one doesnt matter

Answers

Answer:\(\begin{gathered} (12).\text{ }-x^2y^3 \\ (13).\text{ }2t^2-6t+2 \end{gathered}\)

Explanation:

12.

\(\begin{gathered} 4x^2y^3-5x^2y^3=-x^2y^3 \\ \end{gathered}\)

13.

\(\begin{gathered} (8t^2-3t+1)-(6t^2+3t-1) \\ =8t^2-6t^2-3t-3t+1+1 \\ =2t^2-6t+2 \end{gathered}\)

A circle has equation x2 + y2 = 25
The circle passes through the points A, B, C and D.
Complete the coordinates for A, B, C and D.
A. (5,_)
B.(_,-5).
C. (_,0)
D(0,_)

Answers

Answer: A. (5; 0), B. (0; - 5), C. (-5; 0), D. (0; 5).

Step-by-step explanation:

A. (5; _)   [x = 5; y - ?]

x² + y² = 25

5² + y² = 25

25 + y² = 25

25 + y² - 25 = 25 - 25

y² = 0

y = 0

A. (5; 0)

B. (_; -5)   [x - ?; y = -5]

x² + y² = 25

x² + (- 5)² = 25

x² + 25 = 25

x² + 25 = 25

x² + 25 - 25 = 25 - 25

x² = 0

x = 0

B. (0; - 5)

C. (_; 0)   [x - ?; y = 0]

x² + y² = 25

x² + 0² = 25

x² + 0 = 25

x² = 25

x = ± √25 = ± 5

C. (-5; 0) or (5; 0)

Point A has coordinates (5; 0), which means that

point C has coordinates (-5; 0).

D. (0; _)   [x = 0; y - ?]

x² + y² = 25

0² + y² = 25

0 + y² = 25

y² = 25

y = ± √25 = ± 5

D. (0; - 5) or (0; 5)

Point B has coordinates (0; -5), which means that

point D has coordinates (0; 5).

the sql aggregate function that gives the arithmetic mean for a specific column is _____.

Answers

The SQL aggregate function that gives the arithmetic mean for a specific column is `AVG()`.

SQL (Structured Query Language) aggregate functions are functions that operate on a set of values and return a single value as a result. These functions are used in SQL queries to perform calculations on groups of rows in a database table.

There are several common aggregate functions in SQL, including:

1. `COUNT()` - returns the number of rows in a table or the number of non-null values in a specific column.

2. `SUM()` - calculates the sum of values in a specified column.

3. `AVG()` - calculates the average value of values in a specified column.

4. `MAX()` - returns the maximum value in a specified column.

5. `MIN()` - returns the minimum value in a specified column.

Aggregate functions are typically used with the `GROUP BY` clause in SQL queries to group the data based on one or more columns and then apply the aggregate function to each group.

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Final answer:

The SQL aggregate function for calculating the arithmetic mean of a specific column is AVG.

Explanation:

The SQL aggregate function that gives the arithmetic mean for a specific column is AVG.

For example, if you have a table called 'students' with a column called 'grades', you can use the AVG function in SQL to calculate the average grade:

SELECT AVG(grades) FROM students;

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Here are the test marks of 6 girls and 4 boys.

Girls: 5 3 10 2 7 3

Boys: 2 5 9 3

(a) Write down the mode of the 10 marks.



(b) Work out the median mark of the

(c) Work out the mean mark of all 10 students.

help quick i really need to know the answer of
A and B​

Answers

Answer:

(a) 3

(b) 3+5÷2 =4

Step-by-step explanation:

(a) you look at which number appears the most on the data in this case it's 3 it appeares three times in the data compared to other numbers.

(b) arrange the data in ascending order divide the data equally to find the number in the middle if the are two numbers you simply add them and divide by 2 to get your median.

In order to start a small business, a student takes out a simple interest loan for \( \$ 5000.00 \) for 9 months at a rate of \( 8.25 \% \). a. How much interest must the student pay?

Answers

a. the principal (loan amount) is $5000, the rate is 8.25%, and the time is 9 months (expressed in years as 9/12). b. the student will have to pay $306.25 in interest, and the future value of the loan will be $5306.25.

a. The student must pay $306.25 in interest.

To calculate the amount of interest, we can use the formula for simple interest:

Interest = Principal × Rate × Time

In this case, the principal (loan amount) is $5000, the rate is 8.25%, and the time is 9 months (expressed in years as 9/12).

Plugging in these values into the formula, we can calculate the interest amount the student must pay.

b. The future value of the loan is $5306.25.

To find the future value, we add the interest amount to the principal amount.

The future value is calculated using the formula:

Future Value = Principal + Interest

By substituting the values of the principal ($5000) and the interest ($306.25), we can find the future value of the loan.

Therefore, the student will have to pay $306.25 in interest, and the future value of the loan will be $5306.25.

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In order to start a small​ business, a student takes out a simple interest loan for ​$ 5000 for 9 months at a rate of 8.25 ​%.

a. How much interest must the student​ pay?

b. Find the future value of the loan.

Answer please!!! There is a ss attached!

Answer please!!! There is a ss attached!

Answers

Bottom right should be correct.

Hope this helps. ^^
Square root 36/16 is a rational number

please help!

Solve this system of linear equations using linear combination/elimination.

Madeline has 19 coins in her backpack. Some are nickels and some are quarters. The total value of the coins is $2.15. How many nickels and quarters does she have?

Answers

Answer:

8 quaters 3 nickels

Step-by-step explanation:

Find the points of discontinuity of the function, and determine the discontinuity type. f(x)= 1/1-3^((3-x)/x)

Answers

To find the points of discontinuity of the function f(x) = 1/(1 - 3^((3-x)/x)), and determine the discontinuity type, follow these steps:

Step 1: Identify the function's domain
The function is a rational function with 1 as the numerator and (1 - 3^((3-x)/x)) as the denominator. The function is defined for all x values except for when the denominator is equal to zero.

Step 2: Find the values of x that make the denominator zero
To find the points of discontinuity, we need to find the x values for which the denominator is zero:

1 - 3^((3-x)/x) = 0

Step 3: Solve for x
To solve for x, rearrange the equation and isolate the exponent:

3^((3-x)/x) = 1

Take the logarithm of both sides with base 3:

(3-x)/x = log_3(1)

Since log_3(1) = 0, we have:

(3-x)/x = 0

Step 4: Further solve for x
Now, multiply both sides by x to remove the fraction:

3 - x = 0

Add x to both sides:

3 = x

Step 5: Determine the discontinuity type
We found that the denominator becomes zero when x = 3. Since the function is a rational function and the denominator becomes zero, this indicates a point of discontinuity. Specifically, it is an infinite discontinuity, as the function approaches infinity as x approaches 3.

In conclusion, the function f(x) = 1/(1 - 3^((3-x)/x)) has a point of discontinuity at x = 3, and the discontinuity type is infinite discontinuity.

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Can someone please help with these i only need the odd number questions

Can someone please help with these i only need the odd number questions

Answers

Answer:

1) x = 12.2

3) x = 21.7

5) x = 17.9

7) x = 31.8

Step-by-step explanation:

Use Pythagorean Theorem (a^2 + b^2 = c^2 where a and b are bases and c is hypotenuse)

1) 10^2 + 7^2 = x^2

100 + 49 = x^2

149 = x^2

x = sqrt 149 which is about 12.2

3) 16^2 + x^2 = 27^2

256 + x^2 = 729

x^2 = 473

x = sqrt 473 which is about 21.7

5) 9^2 + x^2 = 20^2

(we know the other base is 9 because in an isosceles triangle, the altitude (the height) is the same as the median (which divides the base into half)

81 + x^2 = 400

x = sqrt 319 which is about 17.9

7) 16^2 + y^2 = 22^2 (y is the height of the triangle)

256 + y^2 = 484

x = sqrt 228

(sqrt 228)^2 + (44-16)^2 = x^2

228 + 784 = x^2

x^2 = sqrt 1012 which is about 31.8

What is the volume of cylinder a height 5 m diameter 3 m what is the volume of cylinder b height 3 m diameter 5 m

Answers

Answer:  1.   35.35   ;    2.  58.9

1. The equation of a volume is V=pi *r^2 * h

Our diameter is three, which means our radius is half of that or 1.5 and our height is 5. Our new equation will be V= pi* 1.5^2 * 5 That equals 35.3429174, which rounds to 35.34.

So our volume is 35.34

2. The equation once again is V=pi* r^2 * h

Our diameter is five, and half of that is 2.5, and our height is 3. Our new equation is V=pi *2.5 * 3. That equals 58.90486, which rounds to 58.9

So our volume is 58.9

I was not sure if you needed the answer rounded so I just put the whole answer and the answer rounded.

I hope this helped & Good Luck <3 !!

Fill in the blank with an integer so that the given list has an average of 12.
13, 15, 9, 5, 10, ...

Answers

Answer:

We can use the formula for the average (arithmetic mean) of a set of numbers to solve this problem:

average = (sum of numbers) / (number of numbers)

Let's call the missing number x. Then the sum of the numbers in the list is:

13 + 15 + 9 + 5 + 10 + x

We want the average of this list to be 12, so we can set up the following equation:

12 = (13 + 15 + 9 + 5 + 10 + x) / 6

Multiplying both sides by 6, we get:

72 = 52 + x

Subtracting 52 from both sides, we get:

x = 20

Therefore, the missing number is 20, and the complete list is:

13, 15, 9, 5, 10, 20

The average of this list is:

average = (13 + 15 + 9 + 5 + 10 + 20) / 6average = 72 / 6average = 12So the list now has an average of 12.

find slope of the altitude on each side of triangle ABC (d) A(-2,-3), B(3,6), C(-5,5)letter d) question 3)

find slope of the altitude on each side of triangle ABC (d) A(-2,-3), B(3,6), C(-5,5)letter d) question

Answers

Graphing the points that make up the triangle you have

Now, to obtain the slope of each side of the triangle you can use the slope formula, that is,

\(\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \text{ Where m is the slope of the line and} \\ (x_1,y_1),(x_2,y_2)\text{ are two points through which the line passes} \end{gathered}\)

So, the slope of segment AB will be

\(\begin{gathered} A=(x_1,y_1)=(-2,-3) \\ B=(x_2,y_2)=(3,6) \end{gathered}\)\(\begin{gathered} m=\frac{6-(-3)}{3-(-2)} \\ m=\frac{6+3}{3+2} \\ m=\frac{9}{5} \end{gathered}\)

The slope of segment BC will be

\(\begin{gathered} B=(x_1,y_1)=(3,6) \\ C=(x_2,y_2)=(-5,5) \\ m=\frac{5-6}{-5-3} \\ m=\frac{-1}{-8} \\ m=\frac{1}{8} \end{gathered}\)

The slope of segment AC will be

\(\begin{gathered} A=(x_1,y_1)=(-2,-3) \\ C=(x_2,y_2)=(-5,5) \\ m=\frac{5-(-3)}{-5-(-2)} \\ m=\frac{5+3}{-5+2} \\ m=\frac{8}{-3} \\ m=-\frac{8}{3} \end{gathered}\)

Therefore, the slope of each side of the triangle ABC is

\(\begin{gathered} \text{ The slope of segment AB is }\frac{9}{5} \\ \text{ The slope of segment BC is }\frac{1}{8} \\ \text{ The slope of segment AC is }\frac{-8}{3} \end{gathered}\)

find slope of the altitude on each side of triangle ABC (d) A(-2,-3), B(3,6), C(-5,5)letter d) question

What is the difference between a diameter and a radius?

Answers

Answer:

a radius is a line that goes from the center of a circle to the actual circle, it's measurement will always be half of the diameter

a diameter is a straight line that goes from any point of the circle, through the center, and then to the opposite side of the point

What is the difference between a diameter and a radius?
What is the difference between a diameter and a radius?

FILL IN THE BLANK. reducing pest populations to a level where their effects are tolerable or acceptable is termed ___

Answers

suppression

prevention - keeping a pest from becoming a problem. suppression - reducing pest numbers or damage to an acceptable level, and . eradication - destroying an entire pest population.

How can we manage the population pest?

In the field, there are three main approaches to biological control: Natural enemy conservation, the introduction of new natural enemies, and the establishment of a stable population are referred to as "classical biological control." Bulk raising and periodic release, whether on a seasonal or inundative basis, are the other two methods.

What are the elements that influence the expansion of the pest population?

In general, heat, humidity levels, light quality or quantity, wind, or any combination of these elements affect all important life stages of insect pests, diseases, and weeds (survival, reproduction, and dissemination).

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reducing pest populations to a level where their effects are tolerable or acceptable is termed suppression.

Prevention is the process of preventing a pest from becoming a problem. Suppression is the process of reducing pest numbers or damage to an acceptable level, and Eradication is the destruction of an entire pest population.

How can we control the pest population?

There are three main approaches to biological control in the field: "Classical biological control" refers to the conservation of natural enemies, the introduction of new natural enemies, and the establishment of a stable population. The other two methods are bulk raising and periodic release, whether seasonal or inundative.

What factors influence the expansion of the pest population?

In general, heat, humidity, light quality or quantity, wind, or any combination of these elements affect all important life stages of insect pests, diseases, and weeds (survival, reproduction, and dissemination).

reducing pest populations to a level where their effects are tolerable or acceptable is termed suppression.

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which graph best represents the following inequality y<_ -5/6 +2/3

Answers

The best representation of the inequality y ≤ - 5/6x + 2/3 is shown in figure by red shade region.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequality is,

⇒ y ≤ - 5/6x + 2/3

Now, We can draw the graph of inequality y ≤ - 5/6x + 2/3.

Hence, The best representation of the inequality y ≤ - 5/6x + 2/3 is shown in figure by red shade region.

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which graph best represents the following inequality y&lt;_ -5/6 +2/3

read this and answer please

read this and answer please

Answers

Answer:

Dont know

Dont know

Dont know

Dont know dont know dont knowwwwwwwwwwwwwww

Correct me if I'm wrong, isn't the Distance from A to C be 7?
Cords:
A (1,0)
B (1,6)
C (5,3)​

Correct me if I'm wrong, isn't the Distance from A to C be 7?Cords:A (1,0)B (1,6)C (5,3)

Answers

Answer:

no you're not wrong go with your gut

Step-by-step explanation:

Match each sequence with the position of its first term that is out of increasing order.

1. 1 5 78 99 101 202 400
2. 5 2 7 90 85 80 72
3. 5 6 9 10 14 21 20
4. 3 7 10 9 8 14 17
5. 5 77 25 45 22 94 58 99

Answers

In summary: Sequence 1 has no term out of increasing order. Sequence 2 has the first term out of increasing order at position 2. Sequence 3 has the first term out of increasing order at position 7. Sequence 4 has the first term out of increasing order at position 4. Sequence 5 has the first term out of increasing order at position 3.

1 5 78 99 101 202 400: This sequence is in increasing order throughout, so there is no term that breaks the increasing pattern.

5 2 7 90 85 80 72: The sequence starts with 5, then decreases to 2 (out of increasing order) at position 2.

5 6 9 10 14 21 20: The sequence is increasing until position 6, where it reaches 21. However, the next term, 20, is lower than the previous term, 21 (out of increasing order) at position 7.

3 7 10 9 8 14 17: The sequence starts with 3 and increases until position 3 (10). However, at position 4, the next term, 9, is lower than the previous term, 10 (out of increasing order).

5 77 25 45 22 94 58 99: The sequence is increasing until position 2, where it reaches 77. However, at position 3, the next term, 25, is lower than the previous term, 77 (out of increasing order).

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A chef is choosing from 13 different entrees for an important banquet, 3 of which contain spinach. the guests will have a choice of 4 entrees. the chef has decided to choose the 4 at random. write your answers as a decimals rounded to the nearest thousandth. what is the probability that exactly 3 entrees contain spinach

Answers

The probability that exactly 3 entrees contain spinach is approximately 0.007, rounded to the nearest thousandth.

To calculate the probability, we need to determine the total number of possible combinations and the number of favorable outcomes.

Total number of possible combinations:

The chef has 13 different entrees to choose from, and the guests will have a choice of 4 entrees. Therefore, the total number of possible combinations is given by the combination formula:

C(n, r) = n! / (r!(n-r)!)

Where n is the total number of entrees (13) and r is the number of entrees the guests can choose (4).

C(13, 4) = 13! / (4!(13-4)!) = 13! / (4!9!) = (13 * 12 * 11 * 10) / (4 * 3 * 2 * 1) = 13 * 11 * 10 = 1,430

So, there are 1,430 possible combinations.

Number of favorable outcomes:

The chef wants exactly 3 entrees to contain spinach. There are 3 entrees with spinach to choose from, and the remaining 10 entrees without spinach. Since the guests will have a choice of 4 entrees, we can select 3 out of the 4 to contain spinach, and 1 out of the remaining 10 to not contain spinach.

Number of favorable outcomes = C(3, 3) * C(10, 1) = 1 * 10 = 10

So, there are 10 favorable outcomes.

Probability:

The probability of an event is given by the number of favorable outcomes divided by the total number of possible outcomes.

Probability = Number of favorable outcomes / Total number of possible outcomes = 10 / 1,430 ≈ 0.007

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What is the value of this expression when g=-3.5?
8-12g-5

Answers

Answer:

45

Step-by-step explanation:

8-12(-3.5)-5

8+42-5

=45

Write an inequality for the graph

Write an inequality for the graph

Answers

y< -3x+1

Choice d
Like is dashed so it’s just less than

an urn contains 30 colored balls. eight of the balls are purple and ten of the balls are orange. the remaining balls are all brown. three of the balls are randomly selected one at a time from the urn. what is the probability that all three balls are brown?

Answers

The probability of all three balls being brown is 0.092 or about 9.2%.

To calculate the probability that all three balls are brown, we need to consider the total number of possible outcomes when selecting three balls from the urn one at a time. The urn contains 30 balls in total, of which 8 are purple, 10 are orange and 12 are brown. To find the probability that all three balls selected are brown we need to use the formula for conditional probability:

Probability of all three balls being brown = (Probability of selecting first brown ball) × (Probability of selecting second brown ball given that the first ball was brown) × (Probability of selecting third brown ball given that the first two balls were brown).The probability of selecting a brown ball on the first draw is 12/30, the probability of selecting a brown ball on the second draw given that the first ball was brown is 11/29 and the probability of selecting a brown ball on the third draw given that the first two balls were brown is 10/28

Therefore, the probability of all three balls being brown is (12/30) * (11/29) * (10/28) = 0.092 or about 9.2%.

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Complete the equation describing how
x and y are related.
x
У
-2
4
0
1
2
3
-4.5 -5 -5.5 -6 -6.5
y = [? ]x + [ ]

Answers

The equation x and y are related by y = -0.5x - 5.

Given:

x   -2    -1     0     1      2    3

y  -4  -4.5  -5   5.5   -6  -6.5

we need to find a equation y = [ ? ]x + [   ]

let we assume the coefficient of x be m and the other constant be c.

So, y = mx + c

Now from the table we see when x = 0 , y = -5

putting this in equation we get

-5 = m * 0 + c

=> c = -5

Rewriting the equation with value of c

y = mx - 5

Now at x = 1 , y = -5.5

Replacing the values we get

-5.5 = m * 1 - 5

m = -0.5

Rewriting the equation with value of m

y = -0.5x - 5

Hence the required equation is:

The equation x and y are related by y = -0.5x - 5.

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how easy is it for you to apply algebra concepts when determining angle measures of a polygon?

Answers

To determine the measures of the angles of a polygon are necessary the concepts of algebra by using the formula of the sum of interior angles and creating equations and obtaining the measures of unknown angle.


How to calculate the internal angles of a polygon?

First, it is important to remember the formula for the sum of interior angles of a polygon, which is (n-2) x 180°, where n is the number of sides of the polygon.

Next, you can use algebra concepts to solve for the unknown angle measures. For example, if you know the sum of the interior angles and the measures of some of the angles, you can create an equation and solve for the unknown angle measures.

Here is an example:
If a quadrilateral has interior angles of 70°, 110°, and 120°, you can use the formula (4-2) x 180° = 360° to find the sum of the interior angles. Then, you can create the equation 70° + 110° + 120° + x = 360° and solve for x to find the measure of the unknown angle.

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Which of the following are square roots of the number below? Check all that
apply.
196
A. -14
B. 196^1/2
C. 14
D. 98
E. 7
F. -196^1/2

Which of the following are square roots of the number below? Check all thatapply.196A. -14B. 196^1/2C.

Answers

Answer:

B. 196^1/2

C. 14

Step-by-step explanation:

Square root of 196=14

196^1/2=14

Meg goes on holiday. (a) She changes £ 700 to euros. The exchange rate is £1 = 1.1 euros.
how many euros does she receive?

Answers

Meg Exchange receives 770 euros.

Official exchange rate refers to the exchange rate determined by national authorities or to the rate determined in the legally sanctioned exchange market.

An exchange rate is a relative price of one currency expressed in terms of another currency (or group of currencies). For economies like Australia that actively engage in international trade, the exchange rate is an important economic variable.

To calculate how many euros Meg receives, you need to multiply the amount of pounds she changes by the exchange rate. In this case, Meg changes £700 to euros at an exchange rate of £1 = 1.1 euros.

The calculation would be:

Euros = Pounds * Exchange Rate

Euros = £700 * 1.1 euros

Euros = 770 euros

Therefore, Meg Exchange receives 770 euros.

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Triangle ABC has vertices at A(-3, 1), B(2, -4), and C(1, 5). It is translated 2 units right and 3 units down to form triangle A’B’C’. A'B'C' is then reflected over the line y = x to form triangle A''B''C''. What are the vertices of triangle A’'B’'C’'? A. A''(2, 1), B''(7,-4), C''(-2, 3) B. A''(2, -1), B''(7,4), C''(-2, -3) C. A''(-1, -2), B''(4,-7), C''(-3, 2) D. A''(-2, -1), B''(-7,4), C''(2, 3)

Answers

The vertices of triangle A''B''C'' are A''(-2, -1), B''(-7, 4), and C''(2, 3).

Thus, option (D) is correct.

1. Translation: The original triangle ABC is translated 2 units to the right and 3 units down to form triangle A'B'C'.

To translate a point (x, y) by (a, b), the new coordinates become

(x + a, y + b).

The coordinates of A' would be:

A' = (-3 + 2, 1 - 3) = (-1, -2)

The coordinates of B' would be:

B' = (2 + 2, -4 - 3) = (4, -7)

The coordinates of C' would be:

C' = (1 + 2, 5 - 3) = (3, 2)

2. Reflection over y = x:

Triangle A'B'C' is reflected over the line y = x to form triangle A''B''C''.

To reflect a point (x, y) over the line y = x, the new coordinates become (y, x).

The coordinates of A'' would be:

A'' = (-2, -1)

The coordinates of B'' would be:

B'' = (-7, 4)

The coordinates of C'' would be:

C'' = (2, 3)

Therefore, the vertices are A''(-2, -1), B''(-7, 4), and C''(2, 3).

Thus, option (D) is correct.

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Winning the jackpot in a particular lottery requires that you select the correct five numbers between 1 and 35 ​and, in a separate​ drawing, you must also select the correct single number between 1 and 45. Find the probability of winning the jackpot.

Answers

Answer:

1 / 14608440

Step-by-step explanation:

Given the following :

Winner has to select the five correct numbers between 1 and 35

Then, a single correct number between 1 and 45

Step1:

Number of ways to select 5 corre t numbers between 1 and 35; selecting 5 things from a total of 35 = 35C5

nCr = n! ÷ (n-r)!r!

35C5 = 35! ÷ (35-5)!5!

35C5 = 35! ÷ (30)!5!

= (35 * 34 * 33 * 32 * 31) / (5 * 4 * 3 * 2 * 1) = 324632 ways

Then find number of ways of selecting 1 correct number between 1 and 45:

45C1

45C1 = 45! ÷ (45-1)!1!

45C1 = 45! ÷ (44)!1!

45C1 = 45 ÷ 1 = 45

35C5 * 45C1 = 324632 * 45 = 14608440

Therefore, probability of winning the jackpot :

Required outcome / Total possible outcomes

= 1 / 14608440

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