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a. The number of people that enjoyed only skiing is 129

b. The number of people that enjoyed snow boarding and ice skating only is 13

c. The number of people that enjoyed snow board or ice skating is 221

d. The number of people that enjoyed none is 35

e. The number of people that enjoyed at least two is 62

sets is a collection of well-defined objects or elements.

The total number of visitors is 350

n(ski and snow board only) = 49-2 = 47

n( ski and skating) only= 2-2 = 0

n( snow board and skating) = 15-2 = 13

n( snow board only) = 154-(47+13+2) = 92

n( skating only) = 57-(13+2) = 32

a. The number of that that enjoyed skiing only = 178-(47+2) = 129

b. n( skating and snow board) only= 13

c. n ( ski or snow board) only = 129+92 = 221

d. the number of people that didn't enjoy any = 350-(129+47+92+13+32+2)

= 350-315 = 35

e. the number of people that enjoyed at least two = 13+2+47 = 62

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Answer: (11x+12)(11x−12)

Step-by-step explanation: (11x+12)(11x−12)                                                       (11x+12)(11x+−12)                                                                                                       (11x)(11x)+(11x)(−12)+(12)(11x)+(12)(−12)                                           121x2−132x+132x−144                                                                                           121x^2-144

(a) The set A = {r, s, t} is finite with a cardinality of 3.

(b) The set B = {2, 5, 8, 11, 14} is finite with a cardinality of 5.

(c) The set C = {x | x is an even number} is infinite.

(d) The set D = {1} is finite with a cardinality of 1.

(a) The set A = {r, s, t} is finite. Its cardinality is 3. The set contains three distinct elements, namely 'r', 's', and 't'. Since there is a specific countable number of elements in the set, it is finite.

(b) The set B = {2, 5, 8, 11, 14} is finite. Its cardinality is 5. The set contains five distinct elements: 2, 5, 8, 11, and 14. Again, since there is a specific countable number of elements, the set is finite.

(c) The set C = {x | x is an even number} is infinite. This set represents all even numbers, which continue infinitely in both positive and negative directions. No matter how large of an even number we consider, we can always find a larger even number. Therefore, the set is infinite.

(d) The set D = {1} is finite. Its cardinality is 1. The set contains a single element, which is the number 1. Since there is only one element in the set, its cardinality is 1, indicating finiteness.

In summary:

(a) The set A = {r, s, t} is finite with a cardinality of 3.

(b) The set B = {2, 5, 8, 11, 14} is finite with a cardinality of 5.

(c) The set C = {x | x is an even number} is infinite.

(d) The set D = {1} is finite with a cardinality of 1.

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The diameter of the sphere is approximately 39.12 inches.

Given that a sphere has a volume of approximately 24,416.64 cubic inches.

Using the formula for the volume of a sphere, we have

V = 4/3πr³

where

V = Volume of the sphere

π = 3.14r

  = Radius of the sphere.

Substituting the given values

24,416.64 = 4/3(3.14)(r³)

Multiply both sides by 3/4 to isolate r³ and simplify the right side

24,416.64 x 3/4 = 2.3553648 x 10⁴

                          = 3.14r³

Divide both sides by 3.14:2.3553648 x 10⁴/3.14 = r³r³

                                                                               ≈ 7490.99

Taking the cube root of both sides, we have

r ≈ 19.56 inches

Therefore, the diameter of the sphere ≈ 2r

                                                                ≈ 2 x 19.56 inches

                                                                ≈ 39.12 inches

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Answer:

Option B - 35.4 VAC

Step-by-step explanation:

Formula for peak voltage is;

V_p = V_rms × √2

Making V_rms the formula, we have;

V_rms = (V_p)/√2

We are given:Peak voltage: V_p = 50 VAC

Where 50 VAC means 50 Volts AC power

Thus;

V_rms = 50/√2

V_rms ≈ 35.4 VAC

So option B is correct

The Orchard Cafe can expect approximately 77 diners to show up out of the 81 reservations made

To determine how many diners can be expected to show up at The Orchard Cafe, we can follow these steps:

1. Identify the percentage of diners who actually show up: Since 4% of diners with reservations don't show up, the percentage of diners who do show up is 100% - 4% = 96%.

2. Calculate the expected number of diners who show up: Multiply the total number of reservations (81) by the percentage of diners who show up (96%).

81 reservations x 0.96 (96% as a decimal) = 77.76

Since the number of diners must be a whole number, you can round the result to the nearest whole number.

In this case, 77.76 can be rounded down to 77.

Your answer: The Orchard Cafe can expect approximately 77 diners to show up out of the 81 reservations made.

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Answer:

18 golf balls in all, 1/18 is the answer

Step-by-step explanation:

Answer:

1. 18

2. {blue, magenta, purple}

3. P(blue) = 1/2

P(magenta) = 7/18

P(purple) = 1/9

Step-by-step explanation:

Total balls:

9 + 7 + 2 = 18

Sample space: all possible outcomes

{blue, magenta, purple}

P(blue) = 9/18 = 1/2

P(magenta) = 7/18

P(purple) = 2/18 = 1/9

Answer:

D is correct

Step-by-step explanation:

Answer:

3^4-1

3^3 = 27

Answer:

-7n is the answer

Step-by-step explanation:

It's easy.

The way that the correlation will be affected if the units are changed from minutes to seconds is that the correlation will still be the same.

Correlation simply means a statistical measure which expresses the extent to which two variables are linearly related.

From the information, it was stated that twenty-five trials are completed and the correlation coefficient between typing speed and time is determined to be -0.622.

In this case, even when the units for time are changed from minutes to seconds, the correlation won't change. This is because the change in units has no effect on the correlation.

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Answer:

The correlation would stay the same because the change in units for time would have no effect on it.

Step-by-step explanation:

The only point that lies on both lines is (-4,5).

To determine which of the points (−4,5), (4,3), and (1,2) lie on both the lines −x1−4x2=−16 and −3x1−5x2=−13, we need to check if the coordinates of each point satisfy both of the equations.

For the first line, we can rewrite it as x2 = (-x1 + 16)/4 and for the second line, we can rewrite it as x2 = (-3x1 + 13)/5.

Substituting the coordinates of each point into these equations, we get:

For the point (-4,5):

-4(2) + 16/4 = -4 + 4 = 0, and

-3(-4) + 13/5 = 12/5 + 13/5 = 25/5 = 5.

Therefore, (-4,5) satisfies both equations.

For the point (4,3):

4(2) + 16/4 = 8 + 4 = 12, and

-3(4) + 13/5 = -12 + 13/5 = -47/5.

Therefore, (4,3) does not satisfy both equations.

For the point (1,2):

-1(2) + 16/4 = -2 + 4 = 2, and

-3(1) + 13/5 = -3 + 13/5 = 2/5.

Therefore, (1,2) does not satisfy both equations.

Therefore, the only point that lies on both lines is (-4,5).

When given two equations, the solution can be found by solving the system of equations. To solve a system of equations, one should find the values of x and y that satisfy both equations. The solution to the system is the point (x,y) that satisfies both equations.

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Answer:

min 1

Q1 = 6

med = 12.5

Q3 = 14

Max = 19

Step-by-step explanation:

Min simply refers to the smallest value and that is 1

Q1 is the first quartile and the formula is;

Q1 = (n+ 1)/4

where n is the number of terms which is 10

Q1 = (10 + 1)/4 = 2.75

This is approximately 3 and the 3rd term is 6

med is the median value and that is 12 + 13 = 25/2 = 12.5

Q3 is the third quartile

Q3 = 3(n+ 1)/4 = 8.25 and that is the 8th term which is 14

Max is simply the highest in value and that is 19

Answer:

28:

The Greatest Common Factor (GCF) of 10 and 35 is 5.

10/5 = 2

35/5 = 7

Take the GCF out and keep your divided values in the brackets:
5(2x+7)

29:

n = number of times Thalia has made cookies

c = cups of flour used

c = 12 - 2n

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Answer:

7/8 < 1

Step-by-step explanation:

1 is larger than 7/8 so thats why it is 7/8 < 1

I hope it helps! Have a great day!

Lilac~

The correct statement is 7/8<1

An inequality is an inequation separated by <,>, ≥, ≤.  The relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.

Given here 7/8 which is equal to 0.875 thus which is less than 1 and thus we can construct the inequality 7/8<1

Hence, the  correct statement is 7/8<1

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Answer:

x =-2

Step-by-step explanation:

5x+1=2x-5

Subtract 2x from each side

5x-2x+1=2x-2x-5

3x+1 = -5

Subtract 1 from each side

3x+1-1 = -5-1

3x=-6

Divide by 3

3x/3 = -6/3

x = -2

The value of angle x is 18°.

An angle is the formed when two straight lines meet at one point, it is denoted by θ.

The given angles are on a line are,

∠A=(6x+20)°

∠B=(3x-2)°

The sum of the angles on a straight line is always 180°

Implies that,

∠A+∠B=180°

Substitute the values of ∠A and ∠B,

6x+20+3x-2=180

9x=180-18

9x=162

x=18

The value of x is 18°.

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The length of the garden is 99 m.

The formula for the area of a rectangle is:

Area = Length x Width

We are given that the area of the rectangle is 8811 \(m^{2}\) and the width is 89 m. Substituting these values into the formula, we get:

8811 \(m^{2}\) = Length x 89 m

To solve for the length, we can divide both sides of the equation by 89 m:

Length = 8811 \(m^{2}\) / 89 m

Simplifying, we get:

Length = 99 m

Therefore, the length of the garden is 99 m.

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The a = 0.01 critical value for the chi - square statistic with 13 degrees of freedom is given by 27.688.

Hence the correct option is (A).

Here given distribution is Chi - squared distribution.

two parameters of chi - squared distribution are given by ' a ' and ' d ' where d is degree of freedom.

The critical value against chi squared distribution changes according to the change of the values of a and d.

The table chi squared distribution is given by,

Here we have to find the critical value for the chi - squared statistic with 13 degrees of freedom when a = 0.01.

Therefore, a = 0.01 and d = 13

From the given table we can see that when a = 0.01 and d = 13 the critical value is given by 27.688.

Hence the correct option is (A).

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Answer:

15

Step-by-step explanation:

15 is greater than -15 because if having 15 objects is more than being in loan of 15 objects xD.

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Answer:

19.79 ft

Step-by-step explanation:

Given data

We are given that the dimension of the room is

Length= 14ft

Width= 14ft

Required

The Diagonal of the room

Applying the Pythagoras theorem we have

D^2= L^2+W^2

substitute

D^2= 14^2+14^2

D^2= 196+196

D^2= 392

D= √392

D= 19.79 ft

Hence the distance from one corner to the other is 19.79 ft

Answer:

\(y+2=\frac{5}{2} (x-6)\)

Step-by-step explanation:

point-slope form: y-y1=m(x-x1)

x1=6

y1=-2

m=5/2

\(y+2=\frac{5}{2} (x-6)\)

A variable without a clear operational definition can greatly impact the accuracy and reliability of statistics performed on it. To ensure accurate and meaningful results, it is important to have clear, well-defined variables in any research study.

The lack of a clear definition can lead to inconsistencies in data collection, making it difficult to accurately interpret and analyze the results.

Step 1: When a variable has no clear operational definition, researchers may measure or interpret it in different ways, leading to inconsistencies in data collection.

Step 2: These inconsistencies can affect the reliability and validity of the collected data, which in turn impacts the accuracy of the statistical analysis performed.

Step 3: As a result, the findings from such analyses may not accurately represent the true relationships or patterns within the sample or the population, leading to incorrect conclusions.

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Answer:

2.52

Step-by-step explanation:

35 x 7.2 = 2.52 :D

The equation of the line is x = 25, in accordance with the given conditions.

Given:

To find: Equation of the line.

Finding:

Let the equation of the line be: (y - y') = m (x - x'),

where, (x',y') = point through which the line passes and m = slope of the line.

The slope of the first line = \(\frac{1}{0}\) , i.e., the y-intercept of this line does not exist and it is a vertical line.

Hence, the equation of the line is 0 = 1 (x - x')

Thus, the equation of the line => 0 = 1 (x - 25)

=> x = 25.

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The correlation between the overtone number and the pattern number is not exact. This tone has a 400 Hz fundamental and some of its overtones.

Therefore, the correlation between the overtone number and the pattern number is not exact. This tone has a 400 Hz fundamental and some of its overtones.

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"Segment GT is congruent to segment PD on the number line." this statement is True.

What is a number line?

A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.

The number line is used to represent the coordinates G, T, Y, B, M, P, D, W.

The point of G is -10 and the point of T is -9.

To get the measurement subtract G from T -

= -9 - (-10)

= -9 + 10

= 1

The point of P is 5 and the point of D is 6.

To get the measurement subtract P from D -

= 6 - 5

= 1

The measurement of GT and PD both is 1.

Therefore, segment GD is congruent to segment PD on the number line.

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The miles from the starting line does which jackie's horse catch up to Anabel's is 1.4 miles.

Let the distance covered by Jackie's horse be 'd'.

Let the time taken be 't'.

Distance = time * rate

Jackie's horse travelled distance; d = 28t   .....eq1

Anabel's horse travelled the distance d = 24t + 1/5.  .....eq2

Equating equation 1 and 2.

28t = 24t + 1/5

Simplifying.

4t = 1/5

t = 1/20 hour.

The same distance can be covered in 1/20 hour ;

Put the value of t in eq 1.

d = 28t

d = 28(1/20)

d = 12/5 miles

d = 1.4 miles

Thus, the miles from the starting line does which jackie's horse catch up to Anabel's is 1.4 miles.

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