What is the range of the number of points scored?

A 66

B 9

C 75

D 13

The numbers are

75, 64, 63, 68, 62, and 71,
Please

An arithmetic sequence calculator is a tool or program that can be used to find the terms of an arithmetic sequence, given the first term and the common difference. The "nth term" of an arithmetic sequence refers to the term in the sequence that is in the nth position.

An arithmetic sequence calculator is a tool or program that can be used to find the terms of an arithmetic sequence, given the first term and the common difference. The common difference is the value that is added to each term in the sequence to obtain the next term. Given these two values, the calculator can generate the entire sequence of terms. Some calculators may also be able to find the first term and common difference from a given set of terms, as well as other properties of an arithmetic sequence, such as the sum of the terms, the nth term, etc. The "nth term" of an arithmetic sequence refers to the term in the sequence that is in the nth position. In other words, it is the term that corresponds to the number n in the sequence. The nth term can be calculated using the formula for the nth term of an arithmetic sequence, which is given by: a_n = a_1 + (n-1)d. where a_1 is the first term of the sequence, d is the common difference, and n is the position of the term that we want to find. For example, if the first term of an arithmetic sequence is 3, and the common difference is 2, then the nth term can be found by plugging in the values of a_1, d, and n into the formula.

To learn more about arithmetic sequence click here

brainly.com/question/10694174

#SPJ4

Complete Question

What is Arithmetic sequences calculator and what is nth term?

a. The bottom-up minimal-change algorithm generates all permutations by iteratively generating the next permutation with minimal change from the previous one.

b. The Johnson-Trotter algorithm generates all permutations by iteratively swapping adjacent elements that have different directions until no more swaps are possible.

c. The lexicographic-order algorithm generates all permutations by iterating through the permutations in lexicographic order.

The bottom-up minimal-change algorithm generates all permutations by iteratively generating the next permutation with minimal change from the previous one. Starting with the initial permutation, it finds the rightmost element that is smaller than the element to its right.

It then finds the smallest element to the right of this element that is greater than it, swaps them, and reverses the sequence to the right of the original element. This process is repeated until all permutations have been generated.

b. The Johnson-Trotter algorithm generates all permutations by iteratively swapping adjacent elements that have different directions until no more swaps are possible. The direction of an element is determined by its relative size to its adjacent elements.

The algorithm starts with the initial permutation and repeatedly finds the largest mobile element (an element that is smaller than its adjacent element in its direction) and swaps it with its adjacent element in the opposite direction. This process is repeated until all permutations have been generated.

c. The lexicographic-order algorithm generates all permutations by iterating through the permutations in lexicographic order. It starts with the initial permutation and repeatedly finds the largest index i such that a[i] < a[i+1].

If no such index exists, the permutation is the last one. Otherwise, it finds the largest index j such that a[i] < a[j], swaps a[i] and a[j], and reverses the sequence from a[i+1] to the end. This process is repeated until all permutations have been generated.

Learn more about Johnson-Trotter algorithm here

brainly.com/question/30009994

#SPJ4

The given question is incomplete, the complete question is:

Explain a. the bottom-up minimal-change algorithm. b. the Johnson-Trotter algorithm. c. the lexicographic-order algorithm.

Answer:

El área del gimnasio sería 2000 metros cuadrados

Step-by-step explanation:

Un lado del gimnasio será igual al lado de la cancha y el otro lado será igual al lado de la piscina.

Dado que tanto la cancha como la piscina tienen forma cuadrada. El lado de la cancha será raíz cuadrada de 2.500 m2 y el de la piscina será raíz cuadrada de 1.600 m2

Por lo tanto, el lado del gimnasio sería 50 y 40.

El área del gimnasio sería 50 * 40 = 2000 metros cuadrados

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

For more such questions on volume

https://brainly.com/question/463363

#SPJ8

Step-by-step explanation:

The new c term be 49 for completing the square.

x² - 14x + 49

= x² - 2 * x * 7 + 7²

= ( x - 7) ²

Hope it will help :)

Answer:

49

Step-by-step explanation:

What two numbers add to the middle term and multiply to the last term? 49 doesnt fit in to 14 at all so we know that one of the factors is 7. since the middle term is -14, you would add -7 to -7 to get that. so we know the factors of the middle term are -7 and -7, so all you have to do is multiply them together. It would be positive 49.

Answer:

She is wrong. She needs 140 square feet.

Explanation:

(8×10)+(4×15) = 140

A variable is any property, number, or quantity that can be measured or counted. Variables can also be referenced as data items.

Inference: Inference uses selected samples from a population to estimate the properties of unknown people.

A record (or record) is a collection of data. For tabular data, a record corresponds to one or more database tables, each table column represents a specific variable, and each row corresponds to a particular record in that data set.

Therefore:

All the data collected in particular is referred to as Data Set.

More similar problems related to the data set are solved in the link below.

https://brainly.com/question/16300950?referrer=searchResults

#SPJ4

Answer:

\((513 + 391) \div (2013 - 339) \\ \\ 904 \div 1674 \\ \\ = 0.5400\)

The correct answer is B. The derivative is 2x - 49.

To find the derivative of the function (x - 50 + (x + 1)), we can apply the product rule, which states that the derivative of the product of two functions is the first function times the derivative of the second function, plus the second function times the derivative of the first function.

Let's break down the given function into its components:

f(x) = (x - 50) + (x + 1)

To differentiate this function, we can consider each term separately:

Term 1: (x - 50)

Term 2: (x + 1)

Now, applying the product rule, we differentiate each term and combine the results:

Derivative of Term 1 = 1  (since the derivative of x is 1)

Derivative of Term 2 = 1  (since the derivative of x is 1)

Using the product rule, the derivative of the function is:

f'(x) = (x - 50) * 1 + (x + 1) * 1

f'(x) = x - 50 + x + 1

f'(x) = 2x - 49

Therefore, the correct answer is B. The derivative is 2x - 49.

To learn more about derivative from the given link

https://brainly.com/question/31136431

#SPJ4

Answer:

X= Negative 2/3 or -0.6

Step-by-step explanation:

here you go

Answer:

f(x)=(x+ 3/2)^(2)-(13)/(4)

( x + 3/2)^2

(x + (3 over 2)

^2)

2 to the second power

-(13)/(4)

-13 over 4

Step-by-step explanation:

Answer: second option (3*10^17)

Step-by-step explanation:

I don't have an explanation bc I used a calculator lol

Answer:

3 * 10^17

Step-by-step explanation:

9.3 / 3.1 = 3

34-17 =17

Answer:

5y * 4x or 5y4x

Step-by-step explanation:

:)

Answer:

The answer is 2

Step-by-step explanation:

4z+2y-x

4(4)+2(-6)-2

16+(-12)-2

16-12-2

4-2

2

Step-by-step explanation:

\(4z + 2y - x \\ = 4 \times 4 + 2 \times ( - 6) - 2 \\ = 16 + ( - 12) - 2 \\ = 16 + ( - 14) \\ = 2\)

Writing linear equations given two points can be a useful skill when graphing linear equations.

To learn more about linear equation refer to:

https://brainly.com/question/2030026

#SPJ1

Answer:

6x + 1

Step-by-step explanation:

Answer:

2x + x + 2 +3x - 1

6x + 1

Step-by-step explanation:

add all

For the first series, we can use the Limit Comparison Test by comparing it to the series 1/n^2. Specifically, we will take the limit as n approaches infinity of the quotient of the two series:

lim_n->∞ [(n + 7)/(n^3 - 3n + 3)] / (1/n^2)

= lim_n->∞ [(n + 7)/(n^3 - 3n + 3)] * (n^2/1)

= lim_n->∞ [(n^3 + 7n^2)/(n^3 - 3n + 3)]

Since the numerator and denominator both have degree 3, we can apply L'Hopital's rule:

= lim_n->∞ [(3n^2 + 14n)/(3n^2 - 3)]

= lim_n->∞ [3 + 14/n] / [3 - 3/n^2]

= 3/3 = 1

Since the limit is positive and finite, and the series 1/n^2 is known to converge, the original series also converges.

For the second series, we can use the Limit Comparison Test by comparing it to the series 1/n^2. Specifically, we will take the limit as n approaches infinity of the quotient of the two series:

lim_n->∞ [(n^(k-1))/(n^(k+7))] / (1/n^2)

= lim_n->∞ (n^(k-1) * n^2) / (n^(k+7))

= lim_n->∞ n^(k+1) / n^(k+7)

= lim_n->∞ 1/n^6

Since the limit is positive and finite, and the series 1/n^2 is known to converge, the original series also converges.

To learn more about Limit Comparison Test : https://brainly.com/question/30758037

#SPJ11

Answer:

parallel

Step-by-step explanation:

the slope of both is 1/3

The remaining friends will have a total of 26 marbles together.

1. Let's assume the initial number of marbles each friend has as A, B, C, and D.

2. Since the mean number of marbles is 10, the sum of marbles the four friends have together is 10 x 4 = 40.

3. If one friend leaves with 4 marbles, the total number of marbles remaining with the other three friends is 40 - 4 = 36.

4. To find the number of marbles the remaining friends have together, we divide 36 by 3 (the number of remaining friends), resulting in 12.

5. Therefore, the remaining friends will have a total of 12 marbles together.

Learn more about divide   : brainly.com/question/15381501

#SPJ11

The investment problem is modeled by an initial value problem (IVP) where the rate of change of the investment is determined by the initial investment, monthly deposits, and the interest rate.

a) The investment problem can be modeled by an initial value problem where the rate of change of the investment, y(t), is given by the initial investment, monthly deposits, and the interest rate. The IVP can be written as:

dy/dt = 0.09y + 200, y(0) = 500.

b) To solve the IVP, we can use an integrating factor to rewrite the equation in the form dy/dt + P(t)y = Q(t), where P(t) = 0.09 and Q(t) = 200. Solving this linear first-order differential equation, we obtain the solution for y(t).

c) To find the value of the investment after 2 years, we substitute t = 2 into the obtained solution for y(t) and calculate the corresponding value.

d) After 2 years, the monthly deposit increases to $300. To find the value of the investment a year later, we substitute t = 3 into the solution and calculate the value accordingly.

Learn more about Initial Value Problem: brainly.com/question/31041139

#SPJ11

Mena will finish on her last piece of equipment at 4:45 pm.

The possible orders in which Mena could use the four pieces of equipment are:

STBR, SBTR, SRBT, SRTB, BSTR, BTSR, BRST, BRTS, RSTB, RBTS, RTSB, RTBS

If Mena has a 3 minute break between each piece of equipment and she spends 11 minutes on the stepper, 15 minutes on the treadmill, 48 minutes on the bike, and 1 hour and 25 minutes on the rower, she will finish on her last piece of equipment at:

After 11 minutes on the stepper, the time will be 2:08 pm.

After 3 minute break, the time will be 2:11 pm.

After 15 minutes on the treadmill, the time will be 2:26 pm.

After 3 minute break, the time will be 2:29 pm.

After 48 minutes on the bike, the time will be 3:17 pm.

After 3 minute break, the time will be 3:20 pm.

After 1 hour and 25 minutes on the rower, the time will be 4:45 pm.

So, Mena will finish on her last piece of equipment at 4:45 pm.

For more such question on Time

https://brainly.com/question/17146782

#SPJ4

Using the t-distribution, it is found that since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.

At the null hypothesis, we test if the average strength of corrugated fiberboards from Firm 1 is not three pounds per square inch higher than that from Firm 2, that is, we test if the subtraction of the means is at most 3, hence:

\(H_0: \mu_1 - \mu_2 \leq 3\)

At the alternative hypothesis, we test if the difference is more than 3, that is:

\(H_1: \mu_1 - \mu_2 > 3\)

The mean and the standard deviation for both tests are:

\(\mu_1 = 366, s_1 = 11.67\)

\(\mu_2 = 357.4, s_2 = 4.27\)

The standard errors are:

\(s_1 = \frac{11.67}{\sqrt{9}} = 2.9175\)

\(s_2 = \frac{4.27}{\sqrt{10}} = 1.35\)

The distribution of the difference has mean and standard deviation given by:

\(\overline{x} = \mu_1 - \mu_2 = 366 - 357.4 = 8.6\)

\(s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.9175^2 + 1.35^2} = 3.2147\)

The test statistic is given by:

\(t = \frac{\overline{x} - \mu}{s}\)

In which \(\mu = 3\) is the value tested at the null hypothesis.

It's value is:

\(t = \frac{\overline{x} - \mu}{s}\)

\(t = \frac{8.6 - 3}{3.2147}\)

\(t = 1.742\)

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with 9 + 10 - 2 = 17 df and a significance level of 0.05 is \(t^{\ast} = 1.7396\)

Since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.

A similar problem is given at https://brainly.com/question/25562298

The lines BD/FD and CD/ED are congruent because their length and angle are the same; also, BE and FC are congruent because of the previous congruence.

Congruence occurs if two geometric figures or lines match. This means the angles, length, etc. between the objects compared are the same.

Congruence can be proven using a two-column proof that is a chart that shows the statement or affirmation and the reason for it. Below you can find the two-column proof about the easel in the image:

Learn more in: https://brainly.com/question/25324769

A grain of rice contains about 0.029 milliliters of volume.

A grain of rice is a tiny, ingestible seed that comes from either Oryza sativa (Asian rice) or Oryza glaberrima, two types of grass (African rice). A single grain of rice is round or oval in shape and measures about 3–4 millimeters in length. A grain of rice has a volume of 0.029 milliliters and a mass of approximately 0.05 grams. The type of rice and the method of processing affect the size and form of a single grain of rice. Over half of the world's population relies heavily on rice as a source of nutrition and as a staple food in many different cultures. Sushi, risotto, rice pudding, and many more recipes all use rice as an ingredient.

Learn more about volume here

https://brainly.com/question/16134180

#SPJ4

Answer:

Ans: Rs 181.44.

Step-by-step explanation:

Since 50 is an even number, we know that x will be even if y is even (50 times an even number is still even) and odd if y is odd (50 times an odd number is odd). Therefore, the only answer choice that must be odd is x+y.

Given that x and y are integers and x = 50y + 69, let's determine which of the following expressions must be odd.

1. xy: Since x is odd (50y + 69), when it is multiplied by any integer y, the result will always be odd. Therefore, xy must be odd.

2. x + y: If x is odd, adding it to an even integer (y) would result in an odd number. However, adding it to an odd integer (y) would result in an even number. Therefore, x + y does not necessarily have to be odd. xy: We can't determine if this is odd or even without knowing the values of x and y.
- x+y: This expression is always odd. To see why, consider two cases:

If x and y are both odd, then x+y is even+odd=odd.
If x and y are both even, then x+y is even+even=even.
If one of x and y is odd and the other is even, then x + y is odd + even =odd.

3. x+2y: We can't determine if this is odd or even without knowing the values of x and y.
3x-1: This expression will be odd if x is odd (3 times an odd number is odd) and even if x is even (3 times an even number is even).
3x+1: This expression will be odd if x is even (3 times an even number plus 1 is odd) and even if x is odd (3 times an odd number plus 1 is even).
x + 2y: Since x is odd and 2y is always even, their sum must be odd. Therefore, x + 2 y must be odd.

4. 3x - 1: This expression is odd, since 3x will always be odd (as x is odd) and subtracting 1 from an odd number results in an even number. Therefore, 3x - 1 does not necessarily have to be odd.

5. 3x + 1: This expression is odd, since 3x will always be odd (as x is odd) and adding 1 to an odd number results in an even number. Therefore, 3x + 1 must be odd.

In conclusion, the expressions that must be odd are xy, x + 2y, and 3x + 1.

Learn more about Even number:

brainly.com/question/2289438

#SPJ11

The given expression 14 - 0.6t  is representing the amount of fuel that has been remaining after "t" days of use.

14 - 0.6t is an algebraic expression. The car had 14 gallons of fuel at first and after each day of use, the car used 0.6 gallons which means that the amount of fuel that is remaining in the car at the end of the day is continuously decreasing by 0.6 per day. So, after "t" days of use, the car must have 0.6×t gallons of fuel, and the amount of fuel that remains in the car will be 14 - 0.6t.

When the warning light comes on, the remaining fuel is 1.5 gallons or less. So we can set the expression 14 - 0.6t to 1.5 and solve for t to find the number of days it takes for the warning light to come on:

14 - 0.6t = 1.5

0.6t = 12.5

t = 20.83

Therefore, it takes approximately 20.83 days of use for the warning light to come on.

Learn more about algebraic expressions on

https://brainly.com/question/28884894?referrer=searchResults

#SPJ4

The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

Learn more about: Coefficient

brainly.com/question/1594145

#SPJ11

Answer:

80

Step-by-step explanation:

20% of a number is 16 so we can set up the equation like this

0.2n = 16

you then divide each side by 0.2

and you get 80

Answer: 80

Step-by-step explanation:

\(Rate = \frac{Percent}{Base} = \frac{16}{20} = \frac{4}{5} = 0.8 *100=80\)

Mark Me Brainliest