3/4+5/36+7/144+.......+17/5184+19/8100

(a)0.95 (b)1 (c) 0.99 (d)0.98​

Answer:

The first consecutive integer is 17 while the second is 19

Step-by-step explanation:

Let us say that the first odd integer is x

At this point, the second odd integer will be x+2.

This is because to obtain the next consecutive odd integer, 2 will have to be added to the original number.

From the question, we can set up an equation as shown below:

[tex]6x= 7+5(x+2)[/tex]

from this, we can simply evaluate and find out the value of x

[tex]6x=7 +5x +10\\x=17[/tex]

therefore, the first consecutive integer is 17 while the second is 19

Answer:

x=7

Step-by-step explanation:

Add 6 to both sides

Simplify

Expand the parentheses

Add 1 to both sides

Answer:

1. The sum of the residuals is always close to zero.

2.The coefficient of determination measures how much of the variation in the y-values is explained by the regression line.

3. In the equation of the least-squares regression line, y hat is a predicted value when x is known

Step-by-step explanation:

The least square regression line is a line that makes distance from data points to the regression line to be as minimal as possible. This line is a best fit for the data points. Let's say we have a collection of numbers and a scatter plot, this line is a line that exists and best fits the data.

Therefore, the least square regression line minimizes sum of squared error to be close to zero. R² measures the extent to which variations in the value of y is explained by the regression line. In the equation of this line, y hat is a predicted value when x is known.

The least square regression line minimizes the sum of squared error such that the sum of the residual is zero or very close to 0. Hence, the true statements from the options given are :

The least square regression Line is used to create a Linear model in the form y = bx + c

The Coefficient of determination R² gives the proportion of the variation explained by the regression line.

The predicted value of y is obtained using the model of the Least Square Regression Line for a given value of x.

Outlier values often affects the performance and accuracy of the Least Square Regression Line.

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Answer:

Second answer:

"The product of two irrational numbers can be rational or irrational"

Step-by-step explanation:

notice from the first product

[tex]\sqrt{2} \,* \,\sqrt{2} = \sqrt{4} = 2[/tex]

that the product of two irrational numbers can give us a rational one.

from the other three examples, the answer for the products always contains a square root that cannot be reduced, so they all result in an irrational number.

Then, depending on the type of irrationals used, the product can be either rational or irrational.

Answer:

2. w = -90

4. b = 8

Step-by-step explanation:

Multiply both sides by the reciprocal of the number multiplying the variable.

2.

[tex] -\dfrac{2}{3}w = 60 [/tex]

[tex] -\dfrac{3}{2} \times (-\dfrac{2}{3}w) = -\dfrac{3}{2} \times 60 [/tex]

[tex] w = -\dfrac{180}{2} [/tex]

[tex] w = -90 [/tex]

4.

[tex] 9.6 = 1.2b [/tex]

[tex] \dfrac{1}{1.2} \times 9.6 = \dfrac{1}{1.2} \times 1.2b [/tex]

[tex] 8 = b [/tex]

[tex] b = 8 [/tex]

Answer:

63 books per capita in the library

Step-by-step explanation:

Given

[tex]Books = 2.73 * 10^3[/tex]

[tex]People = 43[/tex]

Required

Determine the book per capita

To do this, we simply divide the number of books by number of person;

[tex]Average = \frac{Books}{People}[/tex]

[tex]Average = \frac{2.73 * 10^3}{43}[/tex]

[tex]Average = \frac{2.73 * 1000}{43}[/tex]

[tex]Average = \frac{2730}{43}[/tex]

[tex]Average = 63.488372093[/tex]

[tex]Average = 63[/tex] (Approximated)

Hence;

There are 63 books per capita in the library

Answer:

3 and 7

Step-by-step explanation:

The mode of a set is the number that appears the most frequently. There can be multiple modes in a set. Looking at the given set, we see that the numbers that show up the most are 3 and 7 so that is our answer.

Answer:

3 and 7

Step-by-step explanation:

The mode means the number that appears the most.

hope this helps you :)

Answer:

15cm

Step-by-step explanation:

The formula to calculate the area of a parallelogram is base x height.

Since we know the height and area, we can write the equation:

135 = base x 9

Now we can just divide 9 from both sides to solve for base:

135/9=basex9/9

So we get:

Base = 135/9=15

The length of the base is 15cm.

Hope this helped!

Answer:

lol

Step-by-step explanation:

2. haha

3. haha.5.jsj

Answer:

first person payed$4, second person payed$12 and the third person payed $24

Step-by-step explanation:

find the sum of the ratio

find

1 divided by the total ratio time $40 to get first person

follow in that order to get the amount each person payed.

Answer:

a= -858

Step-by-step explanation:

46 times -18 equals -846

-846-12 equals -858

Answer:

a=-858

Step-by-step explanation:

12+a=846

a=-846-12

a=-858

Answer:

Step-by-step explanation:

This number is not only larger, but also longer in digits than 8.5.

Answer:

Yes, they are correct

Step-by-step explanation:

The width of the interval is 9 − 5 = 4.  So the minimum possible value of the area is 4m, and the maximum possible value of the area is 4M.

Answer: y=2

Step-by-step explanation:

y/6 = 3/9        multiply both sides by 6/1 (since 6/1 times y/6 equals 1y or just y)

y = 18/9          now that y is isolated, just simplify 18/9

y=2                 18 divided by 9 is 2

Answer:

b is → b =

380 more → + 380

y time 268 → 268y

combine

b = 268y + 380

Step-by-step explanation:

she is showing how many wheels are on each bike and skateboard,on each bike there are 2 wheels,on each skateboard there are 4 wheels. sarahs is different because she shows how many wheels are on each of those bikes

Answer:

Geometric sequence of common ratio = 3

a5  would be: 810,

and  a6  = 2430

Step-by-step explanation:

The sequence is a geometric sequence because each term is produced by multiplying the previous one by the factor 3 (called the common ratio)

then terms a5 and a6 would be: 810, and 2430  respectively

Answer:

[tex]-\frac{8}{9}[/tex]

Step-by-step explanation:

[tex]\dfrac{4}{9}-\dfrac{4}{3}\\\\\mathrm{Least\:Common\:Multiplier\:of\:}9,\:3:\quad 9\\\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\\\\frac{4}{3}=\frac{4\times\:3}{3\times\:3}=\frac{12}{9}\\\\=\frac{4}{9}-\frac{12}{9}\\\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\\\\\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\\\=\frac{4-12}{9}\\\\=\frac{-8}{9}\\\\=-\frac{8}{9}[/tex]

Answer:

what?

Step-by-step explanation:

Answer:

481.890

Step-by-step explanation:

481.890304 rounded to the nearest hundredth will be 481.890

Answer:

56

Step-by-step explanation:

Answer:

the answer is a+9/2

Step-by-step explanation:

a-9/a/1-3/a

=a-9/a/-2/a

=a+9/a/2/a.

( dividing two negatives is equal to positive)

=a+9/a*a/2

doing reciprocal

=a+9*1/2

reduce the expression"a"

=a+9/2

find the product

answer is a+9/2

Answer:

30

Step-by-step explanation:

For every 10-degree increase in temperature, the store sells around 50 fewer sweatshirts. The correct option is D.

Regression analysis is a group of statistical procedures used in statistical modeling to determine the relationships between a dependent variable and one or more independent variables.

A scatter plot is a particular kind of plot or mathematical diagram that displays values for typically two variables for a collection of data. It uses Cartesian coordinates. When the points are coded, a further variable can be seen.

Given that store recorded the number of sweatshirts sold on several days throughout the year. The scatterplot shows the relationship between the average daily temperature and the number of sweatshirts sold.

Here is the scatter plot, it is observed that by increasing the temperature the number of sweatshirts sold is decreasing. For every 10-degree depression of temperature, the number of the sells is decreased by 50.

Therefore, for every 10-degree increase in temperature, the store sells around 50 fewer sweatshirts. The correct option is D.

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Answer:

Step-by-step explanation:

Answer:

Find AC+CB

Step-by-step explanation:

Answer:

Find [tex]AC + CB[/tex]; 10

Find AB; 10

Step-By-Step Explanation:

[tex]AC (3) + CB (7) = 10[/tex]

Find AB is the same thing, just phrased differently.

Answer:

[tex]a=4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]a+2a-1=11[/tex]

First, combine like terms:"

[tex]3a-1=11[/tex]

Now, add 1 to both sides:

[tex]3a=12[/tex]

Divide both sides by 3:

[tex]a=4[/tex]

And we're done!

Answer:

-6, 6

Step-by-step explanation:

So we have the rational function:

[tex]g(x)=\frac{x-5}{x^2-36}[/tex]

The domain of a rational function is all real numbers except for when x is a zero of the denominator.

Thus, to determine the domain restrictions, set the denominator to 0 and solve for x:

[tex]x^2-36=0[/tex]

Add 36 to both sides:

[tex]x^2=36[/tex]

Take the square root of both sides:

[tex]x=\pm 6[/tex]

So, the values that are not in the domain of g is: -6, 6.

And we're done!

Answer:

50+3=53

Step-by-step explanation:

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Answer:

53

Step-by-step explanation:

5+5+5+5+5+5+5+5+5+5+1+1+1

Answer:

x=5

Step-by-step explanation

Move all terms containing  x  to the left side of the equation.

4x-8=12

Move all terms not containing  x  to the right side of the equation.

4x=20

Divide each term by  4  and simplify.

x=5