The cumulative frequency of the 3rd bin in a frequency distribution table represents: a. The number of data values that are less than the maximum value of the 3rd bin. b. The percentage of data that falls into the 3rd bin. C. The cumulative deviation of the 3rd bin in percent. d. The frequency of data values that are larger than the minimum value of the 3rd bin.

Answer:

Top circle:

A=25pi or 78.54 sq cm  

P = 10pi or 31.42 cm

Bottom circle(assuming D is 13 m):

A= 42.25pi or 132.73 sq m  

P = 13pi or 40.84 m

Step-by-step explanation:

The trinomial function; x²+6x+10 when written in the form (x+a)²+b is; (x + 3)² + 1.

In a bid to write the trinomial function; x²+6x+10 when written in the form (x+a)²+b;

We must first divide the coefficient of x in the trinomial by 2 so that we have; 6/2 = 3.

In essence, a = 3; so that we have;

However, the trinomial given is; x²+6x+10.

Therefore;

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Answer:

85 miles

Step-by-step explanation:

He needed to travel a total of 210 miles

He had already traveled 125 miles on bus

And he traveled the rest of the length on the train

If we want to find the distance he traveled on train we simply subtract total distance by distance traveled on bus

So distance traveled on train = 210 - 125 = 85

So he traveled a total of 85 miles on train

Main Answer: The slope of a steep upward-sloping line will be a positive.

Supporting Question and Answer:

How is the slope of a line calculated?

The slope of a line is calculated by dividing the change in the y-coordinate (vertical change) between any two points on the line by the change in the x-coordinate(horizontal change)between the same two points.This is represented by the formula:

slope= \(\frac{(y_2-y_1)}{(x_2-x_1)}\) ,where \((x_1,y_1)\) and \((x_2,y_2)\) are two points on the line.

Body of the Solution:In mathematics, the slope of a line is defined as the ratio of the change in the y-coordinate to the change in the x-coordinate between any two points on the line. A positive slope indicates that the line is increasing in the y-direction as the x-coordinate increases.

A steep upward-sloping line means that the line is increasing rapidly in the y-direction as the x-coordinate increases, and therefore the slope of the line will be a large positive number. Conversely, a steep downward-sloping line will have a large negative slope, indicating that the line is decreasing rapidly in the y-direction as the x-coordinate increases.

Therefore, the slope of a steep upward-sloping line will be a positive.

Final Answer:The slope of a steep upward-sloping line will be a positive.

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Answer:

x = - 7, x = 2

Step-by-step explanation:

Given

x² + 5x - 14 = 0

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)

The factors are + 7 and - 2, since

7 × - 2 = - 14 and 7 - 2 = + 5 , thus

(x + 7)x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2

Answer:

Together, Jill and Sam read 36 pages.

Step-by-step explanation:

9 + (9 * 3)

9 + 27

36

Answer:

27

9x3 is 9+9+9 then its 27

Answer:

h(6) = 32

Step-by-step explanation:

h (x) = x^2 – 4

h(6) =

Let x = 6

h (6) = 6^2 – 4

       = 36 -4

       = 32

Answer:

L=120−12tt

Step-by-step explanation:

$120 is the total kaylee needs to pay back. She pays back 12$ each week, as you can determine from 60 / 5. so, 120-12tt

Answer:

  C)  905 km³

Step-by-step explanation:

You want the volume of a cylinder 12 km in diameter and 8 km high.

The volume is given by the formula ...

  V = πr²h

The radius is half the diameter, so is (12 km)/2 = 6 km. Then the volume is ...

  V = π(6 km)²(8 km) ≈ 905 km³

The volume of the cylinder is about 905 km³.

Answer:

Step-by-step explanation:

A cylinder with a diameter of 12 km and a height of 8 km.

✘ O A) 3619 km³

✘ O B) 1272 km³

✘ O D) 1252 km³

Sorry it Was The Wrong Answer i Had To Do The Calculating it So i Was in Formed That My Answer Was Deleted Had a Chance To Change it So Here's The Right Answer. Have a Nice Day

Answer:

D i searched it up and thats what the answer is

Answer:

C. is the right answer.

Step-by-step explanation:

by using pythagoras theorem which is:

C^2=a^2+b^2

the square root of 5 is 25

and the square root of 8 is 64

C^2=25+64

C^2=89

now get rid of the square

C=the square root of 89

formula for axis of symmetry is

-b/2a

so

-(-6)/2

= 6/2

= 3

x = 3

The fraction of the area of the triangle that would be shaded in stage 7 is equal to 2,187/16,384.

No, there isn't a stage when the fraction of area shaded would be equal to 0.

In Mathematics, a fraction simply refers to a numerical quantity which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

Next, we would determine the area of the triangle that would be shaded in stage 2 is as follows;

Fraction of the area = 3/4 × 3/4 = 9/16.

The area of the triangle that would be shaded in stage 3 is as follows;

Fraction of the area = 3/4 × 3/4 × 3/4 = 27/64.

The area of the triangle that would be shaded in stage 4 is as follows;

Fraction of the area = 3/4 × 3/4 × 3/4 × 3/4 = 81/256.

Therefore, the area of the triangle that would be shaded in stage 7 is as follows;

Fraction of the area = 3/4 × 3/4 × 3/4 × 3/4 × 3/4 × 3/4 × 3/4 = 2,187/16,384.

In this context, we can reasonably infer and logically deduce that there isn't a stage when the fraction of area shaded in this triangle would be equal to zero (0) because there is a linear relationship between the shaded and unshaded area.

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Answer:

A

Step-by-step explanation:

Because for every x term is associated only one y term

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

How to calculate the probability distribution's mean: Steps

A specific genetic mutation affects 4% of the population. 300 persons are chosen at random. Find the standard deviation for the proportion of the 300 groups who have the genetic mutation.

Standard deviation is calculated as follows: 0.04 * 0.93/300 * sqrt(p*(1-p)/n) (0.000124).

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Answer:

20

Step-by-step explanation:

f(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1)

f(x)= (-1)(2) +3 (-1)= -2+-3= -5

g(x)= 2 (-1)2= -4

(f ∘ g)= -5 x -4= 20

Answer:

no solution.

Step-by-step explanation:

Answer:

no solution.

Step-by-step explanation:

-4 (1 + 10a) - 7 > -10 (1 + 4a) - 1

-4 + 40a - 7 > -10 + 40a -1

40a - 40a > -10 - 1 + 4 + 7

 the Variable is canceled so there is no solution.

The number of people who are not season ticket holders can be found by subtracting the number of season ticket holders from the total number of attendees:

110801 - 4922 = 105879

Therefore, there are 105879 people who are not season ticket holders.

We have to determine whether the given series converges or diverges. The given series is as follows: `(n+4)! / 4!(n!)` Let's use the ratio test to find out if this series converges or diverges.

The Ratio Test: It is one of the tests that can be used to determine whether a series is convergent or divergent. It compares each term in the series to the term before it. We can use the ratio test to determine the convergence or divergence of series that have positive terms only. Here, a series `Σan` is convergent if and only if the limit of the ratio test is less than one, and it is divergent if and only if the limit of the ratio test is greater than one or infinity. The ratio test is inconclusive if the limit is equal to one. The limit of the ratio test is `lim n→∞ |(an+1)/(an)|` Let's apply the Ratio test to the given series.

`lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `lim n→∞ [(n+5)/4] * [1/(n+1)]` `lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `lim n→∞ (n^2 + 9n + 20) / (4n^2 + 20n + 16)`

As we can see, the limit exists and is equal to 1/4. We can say that the given series converges. The series converges. To determine the convergence of the given series, we use the ratio test. The ratio test is a convergence test for infinite series. It works by computing the limit of the ratio of consecutive terms of a series. A series converges if the limit of this ratio is less than one, and it diverges if the limit is greater than one or does not exist. In the given series `(n+4)! / 4!(n!)`, the ratio test can be applied. Using the ratio test, we get: `

lim n→∞ |(an+1)/(an)| = lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `= lim n→∞ [(n+5)/4] * [1/(n+1)]` `= lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `= 1/4`

Since the limit of the ratio test is less than one, the given series converges.

The series converges to some finite value, which means that it has a sum that can be calculated. Therefore, the answer is a).

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The completely factored form of the expression\(y^4 + 4y^3 - 21y^2\) is:

\(y^2(y + 7)(y - 3)\)

To factor the expression y^4 + 4y^3 - 21y^2 completely, let's begin by factoring out the greatest common factor (GCF) of the terms. The GCF in this case is y^2, so we can rewrite the expression as:

y^2(y^2 + 4y - 21)

Now, let's focus on factoring the trinomial (y^2 + 4y - 21). To factor this trinomial, we need to find two numbers that multiply to -21 and add up to 4. The numbers that satisfy these conditions are 7 and -3.

So, we can rewrite the trinomial as:

y^2(y + 7)(y - 3)

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The slope intercept form has the next form

We have

we need to isolate the y

ANSWER

y=3x-3

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer:

greater part = Rs.81

smaller part = Rs.59

Step-by-step explanation:

Solution:

Let the greater part be x and smaller part be (140 - x)

Acccording to question,

or, 2x+15 = 3(140 - x)

or, 2x+15 = 420-3x

or, 2x+3x = 420-15

or, 5x = 405

or, x = 405÷5

x = 81

Therefore, the greater part = x = 81

the smaller part = (140-x) =(140-81) = 59

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:

2,359,000,000

Step-by-step explanation:

Answer:

2,359,000,000 would be the standard form

Step-by-step explanation:

Given that the correlation between two variables is r=0.23. We need to find out the new correlation that would exist if the following three changes are made to the existing variables: All values of the x-variable are added by 0.14. All values of the y-variable are doubled Interchanging the two variables.  the correct option is B. 0.37.

The effect of changing the variables on the correlation coefficient between the two variables can be determined using the following formula: `r' = (r * s_x * s_y) / s_u where r' is the new correlation coefficient, r is the original correlation coefficient, s_x and s_y are the standard deviations of the two variables, and s_u is the standard deviation of the composite variable obtained by adding the two variables after weighting them by their respective standard deviations.

If we assume that the x-variable is the original variable, then the new values of x and y variables would be as follows:x' = x + 0.14 (since all values of the x-variable are added by 0.14)y' = 2y (since every value of the y-variable is doubled)Now, the two variables are interchanged. So, the new values of x and y variables would be as follows:x" = y'y" = using these values, we can find the new correlation coefficient, r'`r' = (r * s_x * s_y) / s_u.

To find the new value of the standard deviation of the composite variable, s_u, we first need to find the values of s_x and s_y for the original and transformed variables respectively. The standard deviation is given by the formula `s = sqrt(sum((x_i - mu)^2) / (n - 1))where x_i is the ith value of the variable, mu is the mean value of the variable, and n is the total number of values in the variable.

For the original variables, we have:r = 0.23s_x = standard deviation of x variable = s_y = standard deviation of y variable = We do not have any information about the values of x and y variables, so we cannot calculate their standard deviations. For the transformed variables, we have:x' = x + 0.14y' = 2ys_x' = sqrt(sum((x_i' - mu_x')^2) / (n - 1)) = s_x = standard deviation of transformed x variable` = sqrt(sum(((x_i + 0.14) - mu_x')^2) / (n - 1)) = s_x'y' = 2ys_y' = sqrt(sum((y_i' - mu_y')^2) / (n - 1)) = 2s_y = standard deviation of transformed y variable` = sqrt(sum((2y_i - mu_y')^2) / (n - 1)) = 2s_yNow, we can substitute all the values in the formula for the new correlation coefficient and simplify:

r' = (r * s_x * s_y) / s_ur' = (0.23 * s_x' * s_y') / sqrt(s_x'^2 + s_y'^2)r' = (0.23 * s_x * 2s_y) / sqrt((s_x^2 + 2 * 0.14 * s_x + 0.14^2) + (4 * s_y^2))r' = (0.46 * s_x * s_y) / sqrt(s_x^2 + 0.0396 + 4 * s_y^2)Now, we can substitute the value of s_x = s_y = in the above formula:r' = (0.46 * * ) / sqrt( + 0.0396 + 4 * )r' = (0.46 * ) / sqrt( + 0.1584 + )r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = r' = Therefore, the new correlation coefficient, r', would be approximately equal to.

Hence, the correct option is B. 0.37.

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The number formed by the digits 16, 06, and 68 is 160668, which is determined by concatenating them in the given order.

To determine the number formed by the given digits, we concatenate them in the given order. Starting with the first digit, we have 16. The next digit is 06, and finally, we have 68. By combining these three digits in order, we get the number 160668.

When concatenating the digits, the position of each digit is crucial. The placement of the digits determines the resulting number. In this case, the digits are arranged as 16, 06, and 68, and when they are concatenated, we obtain the number 160668. It's important to note that the leading zero in the digit 06 does not affect the value of the resulting number. When combining the digits, the leading zero is preserved as part of the number.

Therefore, the number formed by the digits 16, 06, and 68 is 160668.

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