The tables represent the points earned in each game for a season by two football teams.


Eagles
3 24 14
27 10 13
10 21 24
17 27 7
40 37 55
Falcons
24 24 10
7 30 28
21 6 17
16 35 30
28 24 14


Which team had the best overall record for the season? Determine the best measure of center to compare, and explain your answer.
Eagles; they have a larger median value of 21 points
Falcons; they have a larger median value of 24 points
Eagles; they have a larger mean value of about 22 points
Falcons; they have a larger mean value of about 20.9 points

Answer:

x=10

Step-by-step explanation:

Use pythagorean theorem, a^2+b^2=c^2

24^2 + b^2 = 26^2

576 + b = 676

676-576=100

\(\sqrt{x} 100\)=10

Answer:

x = 10

Step-by-step explanation:

Let b represent x.

Use the Pythagorean Theorem:

\(a^{2} + b^{2} = c^{2}\)

24² + b² = 26²

24² = 576

26² = 676

576 + b² = 676

Subtract 576 from both sides:

b² = 100

Square root of 100:

x = 10

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At the college, 32% of courses have both a research paper and a final exam. This information can be used to determine the percentage of courses that have either a research paper or a final exam or both.

To calculate the percentage of courses that have either a research paper or a final exam or both, we can use the principle of inclusion-exclusion. We start by adding the percentages of courses with a research paper and with a final exam: 46% + 72% = 118%. However, this sum includes the 32% of courses that have both a research paper and a final exam twice, so we need to subtract this overlap: 118% - 32% = 86%.

Therefore, 86% of courses at the college have either a research paper or a final exam or both. This means that 86% of the courses require some form of assessment, either through a research paper, a final exam, or both. It's important to note that this calculation assumes that there are no other forms of assessment in the courses.

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Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤. To ‘solve’ an inequality means to find a range, or ranges, of values that an unknown x can take and still satisfy the inequality.

Suppose we want to solve the inequality x + 3 > 2.

We can solve this by subtracting 3 from both sides:

x + 3 > 2

x > −1

So the solution is x > −1. This means that any value of x greater than −1 satisfies x + 3 > 2.

Inequalities can be represented on a number line such as that shown in the image attached below. The solid line shows the range of values that x can take. We put an open circle at −1 to show that although the solid line goes from −1, x cannot actually equal −1.

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To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.

1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.

2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.

3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.

4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.

Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.

Answer:

900°

Step-by-step explanation:

The interior angles sum = 180° ( n - 2 )

~~~~~~~~

n = 7

180° ( 7 - 2 ) = 900°

Answer:

900 degrees

Step-by-step explanation:

just apply the formulas discussed in class !

The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.

The number of triangles in each polygon is two less than the number of sides.

The formula for calculating the sum of interior angles is:

(n−2)×180∘ (where n is the number of sides)

in our case we have 7 sides.

so, we could split this polygon into 5 triangles.

each of these triangles would have an angle sum of 180°.

so, the angle sum of the polygon is

5×180 = 900°

Answer:

12. square root(8)/2, 2, square root(7)

14. -10, square root(100), 11.5, square root(220)

Answer:

8 moles.

Moles is the amount of oxygen and not pressure, volume or mass.

Step-by-step explanation:

9514 1404 393

Answer:

  16 moles

Step-by-step explanation:

At the same pressure and temperature, double the volume will hold double the quantity of gas. There will be 16 moles of oxygen if the volume is doubled at the same temperature and pressure.

Answer: d. No, because the study was not taken from a random sample of scholarship athletes.

Step-by-step explanation:

Since the study only focuses on basketball players, the sample may not be representative of all scholarship athletes in the university. This can cause bias in the results and make it difficult to generalize the findings to the larger population of scholarship athletes. Therefore, the university administration should not fully trust the results of this study.

The boundaries of the class 1.87-3.43 are D) 1.865-3.435. The lower boundary is 1.865 and the upper boundary is 3.435.

The boundaries of the class 1.87-3.43 can be determined by subtracting and adding half of the smallest possible unit of measurement to the given class limits. In this case, since the given class limits are 1.87 and 3.43, we need to find the boundaries by subtracting and adding half of the smallest possible unit of measurement.

Let's assume the smallest possible unit of measurement is 0.01.

To find the lower boundary:

Lower Boundary = Lower Limit - (0.01/2)

Lower Boundary = 1.87 - 0.005

Lower Boundary = 1.865

To find the upper boundary:

Upper Boundary = Upper Limit + (0.01/2)

Upper Boundary = 3.43 + 0.005

Upper Boundary = 3.435

Therefore, the boundaries of the class 1.87-3.43 are:

D) 1.865-3.435

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The length of the segment A'A is 18 units

The length of the segment B'B is 8 units

From the question, we have the following parameters that can be used in our computation:

The similar triangle

Using the ratio of corresponding sides, we have

(AA' + 12)/20 = 12/8

So, we have

AA' + 12 = 20 * 12/8

AA' + 12 = 30

Evaluate

AA' = 18

Here, we have

(BB' + 6)/20 = 6/8

So, we have

BB' + 6 = 20 * 6/8

BB' + 6 = 15

Evaluate

BB' = 8

Hence, the length is 8 units

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Work Shown:

diameter = 10

radius = 5, which is half the diameter

area = pi*(radius)^2

area = 3.14*5^2

area = 78.5 mm²

The area is approximate since pi = 3.14 is approximate.

The notation mm² is shorthand for "square millimeters" or "square mm".

Answer:

-12  ??

Step-by-step explanation:

12-5x2+6-4x2

12-10+6-8

12-16-8

-12

Not really sure if that is correct, since the symbols look a little confusing with my glasses but ya.

Also, just in case yall forget:

P - parenthesis

E - exponents

M- multiply

D - divide

A - add

S - subtract

Answer:

  2√10

Step-by-step explanation:

You want the simplest radical form of 6.32455532034.

In order for the given decimal value to have a "simplest radical form," we must assume it is an approximation of an irrational root. The given rational number is approximately equal to √40, differing in the 12th decimal place and beyond.

  6.32455532034 ≈ √40 = 2√10

__

Additional comment

The radical is simplified by removing all of the perfect squares from under the radical.

  40 = 2^3 × 5 = (2^2)(2×5) = (2^2)(10)

  √40 = 2√10

Answer:

32, 40, 48, 56

Step-by-step explanation:

\(a_n= 8(n+3)...(given) \\\\ a_1= 8(1+3) = 8 \times 4 = 32 \\ \\ \: a_2= 8(2+3) = 8 \times 5 = 40 \\ \\ a_3= 8(3+3) = 8 \times 6 = 48 \\ \\ a_4= 8(4+3) = 8 \times 7 = 56 \\ \)

To represent the given real-world situation using an arithmetic sequence, we can define a function that represents the number of clients the lawnmowing company has after a certain number of weeks. The answer is  {29, 32, 35, 38}.

Let's define the function as follows:

f(n) = 26 + 3n

Here, n represents the number of weeks that have passed since the company started its business. The function f(n) gives us the total number of clients the company has at the end of n weeks.

To determine the range of the function for the first four weeks of data, we can substitute the values of n from 1 to 4 into the function and calculate the corresponding values.

For n = 1:

f(1) = 26 + 3(1) = 29

For n = 2:

f(2) = 26 + 3(2) = 32

For n = 3:

f(3) = 26 + 3(3) = 35

For n = 4:

f(4) = 26 + 3(4) = 38

Therefore, the range of the function for the first four weeks of data is {29, 32, 35, 38}.

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It would take approximately 19.65 years for an investment of $100,000 at a 7% annual interest rate to grow to $500,000. Rounded to two decimal places, the answer is 19.65 years.

To determine the number of years it will take for an investment of $100,000 at a 7% annual interest rate to grow to $500,000, we can use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment ($500,000)

P = the initial principal amount ($100,000)

r = the annual interest rate (7% or 0.07)

n = the number of times that interest is compounded per year (assuming annually, so n = 1)

t = the number of years

Plugging in the values we know, we get:

$500,000 = $100,000(1 + 0.07/1)^(1*t)

Dividing both sides of the equation by $100,000 and simplifying:

5 = (1.07)^t

To solve for t, we can take the logarithm of both sides:

log(5) = log[(1.07)^t]

Using logarithmic properties, we can bring down the exponent:

log(5) = t * log(1.07)

Finally, we can solve for t by dividing both sides by log(1.07):

t = log(5) / log(1.07)

Using a calculator, we find:

t ≈ 19.65

Therefore, it would take approximately 19.65 years for an investment of $100,000 at a 7% annual interest rate to grow to $500,000. Rounded to two decimal places, the answer is 19.65 years.

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Answer:

(6,8)

Step-by-step explanation:

2x + y = 20

6x - 5y = -4

Multiply the first equation by -3

-3(2x + y) = -3*20

-6x -3y = -60

Add this to the second equation

-6x-3y = -60

6x - 5y = -4

--------------------

       -8y  = -64

Divide each side by -8

-8y/-8 = -64/-8

y = 8

Now find x

2x+y = 20

2x +8 = 20

2x+8-8 = 20-8

2x = 12

Divide by 2

2x/2 = 12/2

x = 6

(6,8)

Answer:

(6,8)

Step-by-step explanation:

2x + y = 20 (1)

6x - 5y = -4 (2)

Multiplying EQ 1 by 5

=> 5(2x + y) = 5(20)

=> 10x + 5y = 100 (3)

On adding 2 and 3

=> 6x - 5y + 10x + 5y = -4 + 100

=> 16x = 96

=> x = 96/16

=> x = 6

From 1

=> 2(6) + y = 20

=> 12 + y = 20

=> y = 20 - 12

=> y = 8

In pair

(x,y) = (6,8)

x = 58.62 feet

y = 85.3 feet

Given that,

The cost of exterior walls is $140 per linear foot.

The cost of interior walls is $100 per linear foot.

  xy = 5000

⇒ y = 5000/x

For the exterior walls, we have 2(x + y)(110)

For the interior wall, we have 100x

The cost function = C

⇒ C = 2(x + y)(110) + 100x

⇒ C = 220(x + y) + 100x

      = 220x + 240y + 100x

      = 320x + 240y

Recall that y = 5000/x

C = 320x + 220(5000/x)

C = 320x + 1100000/x

Differentiate C with respect to x

C'(x) = 320 - 1100000/x²

       = (320x² -1100000) / x²

To minimize cost

C'(x) = 0

(320x² -1100000) / x² = 0

320x² -1100000 = 0

⇒ 320x² = 1100000

⇒ x² = 1100000/320

⇒ x = √1100000/320

⇒ x = 58.62 feet

Recall that y = 5000/x

y = 5000/58.62

y = 85.3 feet

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Answer:

0.013

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ (1−p)ⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

and p is the probability of success.

Given n = 6, p = 0.69, and r = 0 or 1:

P = ₆C₀ (0.69)⁰ (1−0.69)⁶⁻⁰ + ₆C₁ (0.69)¹ (1−0.69)⁶⁻¹

P = (1) (1) (0.31)⁶ + (6) (0.69) (0.31)⁵

P = 0.013

Answer:

The simplified form of the expression (5ax^3) / (10bx^2) is (1/2)ax.

Step-by-step explanation:

Answer: 20 meters

Step-by-step explanation:

Squares will have equal sides. Since the perimeter is all the sides added up together add 5+5+5+5 to get 20

Hope you have a lovely day!

Answer:

The answer is 20 meters.

Step-by-step explanation:

Since a square has 4 equal sides, and we know that one side of this square is 5 meters long, then we multiply 5 (meters) by 4 (sides).

5 × 4 = 20

The square is 20 meters long! I hope this helps! :)

Step-by-step explanation:

180°- 43° = 137°

because when angles are supplementary the add up to 180 degrees and since we have one of the angles we can easily find the other =>

Gender and marital status and Job title.

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Answer:

\(49x^2+126xy+81y^2\)

Step-by-step explanation:

Use the square of a binomial theorem

\((a+b)^2\)= \(a^2+2ab+b^2\)

Now expand the given equation:

\((7x+9y)^2=49x^2+126xy+81y^2\)

Hope this helps :)

Have a great day!

Step-by-step explanation:

1) keep the number having x^2 in one group.

keep the number having xy^2 in another group.

2) a. 7x^2. 5x^2

like this add/subtract every number.

3)2xy+3xy+4zz=5xy+4zz

like this add every number.

if you have any query please feel free to ask.

Answer:

(3x+2)^2+1

Step-by-step explanation:

(f°g)(x) =g(f(x)) =g(3x+2)=(3x+2)^2 +1

Answer:

3(x+1) + 2

Step-by-step explanation:

The probability that a randomly chosen person: a) Has a red car = 0.496 b) Has a speeding ticket = 0.424 c) Has a speeding ticket given they have a red car = 0.467 d) Has a red car given they have a speeding ticket = 0.629 e) Has a red car and got a speeding ticket = 0.234 f) Has a red car or got a speeding ticket = 0.686.

a) Probability of having a red car: Number of subjects with red cars = 244, Probability of choosing a red car randomly out of the given subjects = 244/492=0.496

b) Probability of having a speeding ticket: Number of subjects with speeding tickets = 209, Probability of choosing a person with a speeding ticket out of the given subjects = 209/492=0.424

c) Probability of having a speeding ticket given they have a red car: Probability of having a red car = 0.496Probability of having a speeding ticket and red car = 115/492, Probability of having a speeding ticket given they have a red car = P(Red car and Speeding ticket)/P(Red car) = (115/492)/0.496 = 0.467

d) Probability of having a red car given they have a speeding ticket: Probability of having a speeding ticket = 0.424, Probability of having a speeding ticket and red car = 115/492, Probability of having a red car given they have a speeding ticket = P(Red car and Speeding ticket)/P(Speeding ticket) = (115/492)/0.424 = 0.629

e) Probability of having a red car and getting a speeding ticket: Number of subjects with both red car and speeding ticket = 115, Probability of choosing a person with both red car and speeding ticket out of the given subjects = 115/492=0.234

f) Probability of having a red car or getting a speeding ticket: P(Red car or Speeding ticket) = P(Red car) + P(Speeding ticket) - P(Red car and Speeding ticket) = 0.496 + 0.424 - 0.234 = 0.686.

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Answer: The expected value of V can be calculated as the sum of the products of the possible values of V and their corresponding probabilities. Let's consider the three possible scenarios:

Using the utility function, we can see that the expected value of V is:

E[V] = 0 * 0.2 + (1/2) * (0.8 * 9/10) + 10 * (0.8 * 1/10)

E[V] = 0 + 0.36 + 0.8

E[V] = 1.16

Therefore, the expected value of V is 1.16. However, since V represents the number of healthy vacation days, it must be a non-negative integer. So, the closest integer to 1.16 is 1. Therefore, the answer is c. 2.