2x^2=3x+10 completing the square

The correlation coefficients off both the scatter plots are mentioned above.

        [tex]${\displaystyle {\begin{aligned}r_{xy}&={\frac {\sum x_{i}y_{i}-n{\bar {x}}{\bar {y}}}{ns'_{x}s'_{y}}}\\[5pt]&={\frac {n\sum x_{i}y_{i}-\sum x_{i}\sum y_{i}}{{\sqrt {n\sum x_{i}^{2}-(\sum x_{i})^{2}}}~{\sqrt {n\sum y_{i}^{2}-(\sum y_{i})^{2}}}}}.\end{aligned}}}[/tex]

       where [tex]{\displaystyle s'_{x}}[/tex] and [tex]{\displaystyle s'_{y}}[/tex] are the uncorrected sample standard deviations of        

       X and Y.

Given are the scatter plot graphs as shown.

For the graph {1}, the correlation coefficient is positive and is in range of between 0.7 to 0.8

For the graph {2}, the correlation coefficient is negative and is in range of between -0.4 to 0.45

Therefore, the correlation coefficients off both the scatter plots are mentioned above.

To solve more questions on correlation, visit the link below -

https://brainly.com/question/28898177

#SPJ5

Answer:

2 grams

Step-by-step explanation:

50 years is 5 half lives as 1 half life is 10 years.

64 divide 2 = 32-1 half life

32 divide 2 =16-2nd half life

16 divide 2 = 8-3rd half life

8 divide 2 = 4-4th half life

4 divide 2 = 2-5th half life

This means we will have 2 grams left of the radioactive substance after 50 years.

Step-by-step explanation:

28^2+x^2=32^2

784+x^2=1024

x^2=240

x=15.49

x=~15.5

Answer: First we know the Town Library has 3 times as many books as there are in the School Library. The Town Library has 2,676 books.

Divide 2,676 by 3. 2676÷3= 892

So your answer is: 892 books.

Hope I helped. :)

The number of books in the library will be 892.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that there are 3 times as many books in the town library as there are in the school library. The town library has 2,676 books.

The number of books will be calculated as,

Number = 2676 / 3

Number = 892

Hence, the number of books will be 892.

To know more about an expression follow

https://brainly.com/question/27999047

#SPJ2

Answer:

2.5 x 10^7

Step-by-step explanation:

Answer:

  D, A, E, C, B   or   2, 5, 4, 1, 3

Step-by-step explanation:

In general, you compare each line to the one before, and figure out what step was taken. Anything involving an arithmetic operation is allowed by the <Operation> Property of Order.

1. Matches the equation you're solving. This equation is Given.

2. The parentheses have been eliminated by multiplying their insides by the factor outside. The Distributive Property says you can do that.

3. The term 7x has been subtracted from both sides. The Subtraction Property of Order says you can do that.

4. The term -20 has been eliminated by adding 20 to both sides. The Addition Property of Order says you can do that.

5. Both sides have been divided by 18. The Division Property of Order says you can do that.

Answer:

the answer is 8:5

Step-by-step explanation:

Answer:

G=39, F=141

Step-by-step explanation:

Let us set up equations, with G and F as variables.

Since G and F are supplementary, they must add up to 180.

G+F=180

Given the equation, we can set it up too

F = 4 * G - 15

Here, we can solve for this equation by plugging the second equation into the first one with substitution

G+4*G-15=180

simplify and solve

5G=195

G=39

Plug this into the first equation to solve for F:

39+F=180

F=141

We can plug both answers into the second equation to check and find that we are indeed right.

Answer:

18.675cm

just search it

Answer:

15,000 liters

Step-by-step explanation:

First, find the volume in meters. 5*3*1=15 meters

1 meter = 1000 liters

(x15)

15 meters = 15000 liters

Hope this helped :D

Answer:

33  1/3%

Step-by-step explanation:

Because there are 3 girls and 9 total animals, you do: 3/9, which is 1/3. You divide to find the percent. 1/3=33.333333..... Because you have a repeating decimal, you do 33 and 1/3, because the repeating decimal is .33333.....

Answer:

Shelly slept 232 hours and 30 minutes in the month of January

Step-by-step explanation:

31 days in January, so the equation will be

31 x 7.5  ( I wrote 0.5 because 30 minutes is half a day)

= 232.5 hours

Shelly slept 232 hours and 30 minutes in the month of January

Answer:

232.5 hours

Step-by-step explanation:

Well, the month of January has 31 days.

If shelly sleeps for 7.5 hours a day, and she sleeps 31 days, we need to do multiplication!

7.5*31=232.5 hours!

200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.

Given that a retailer plans to sell two models of earbuds at costs of $ 250 and $ 400, and the $ 250 model yields a profit of $ 45 and the $ 400 model yields a profit of $ 50, and the retailer estimates that the total monthly demand will not exceed 250 units, to find the number of units each model that should be stocked in order to maximize profit, given that the retailer is not investing more than $ 70,000 in inventory, the following calculation should be performed:

Therefore, 200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.

Learn more about maths in https://brainly.com/question/25865591

The correct option is C. (4,7).

Given equations,

[tex]y=x+3....(1)\\3x+y=19....(2)[/tex]

We have to solve the equations.

From equation 1 put the value of y in equation 2 we get,

[tex]3x+x+3=19\\4x=16\\x=4\\[/tex]

Now putting the value of x in equation 1 we get,

[tex]y=4+3\\y=7[/tex]

Hence the required solution of the above equations is (4,7).

For more details on equation in two variables follow the link:

https://brainly.com/question/10824691

Answer:

elaboration

Step-by-step explanation:

tthe definition of elaboration is the addition of more detail concerning what has already been said. so out of these options, elaboration best fits answers the question

Answer:

The scatter plot is in the picture attached

Answer:

a(x) and d(x)

hope it helps, have a good day!

dont forget my brainliest!

Step-by-step explanation:

Answer:

m∠URV = 124°

Step-by-step explanation:

hope this helps

Answer:

what is the work to figure out the anwser?

Step-by-step explanation:

Answer: I Think you will make 100 time 2 divide 3

Step-by-step explanation:

i'm not sure, have a nice day

Answer:  8.6

Step-by-step explanation:

8.57142857143 -->     8.6

Answer:

52 1/4

Step-by-step explanation:

Answer:

i need points sorry

Step-by-step explanation:

Answer:

1) 8/10 or 4/5

2) 1/4

3) 7/8

4) 13/10 or 1  3/10

5) 1/6

Step-by-step explanation:

1) If the denominators are different numbers, you need to find the common denominator. 3/5 + 2/10: Since /5 is a factor of /10, then you can multiply /5 by 2. But if you change the denominator, the numerator needs to change too. 3/5 * 2 = 6/10. Now simply add both fractions. 6/10 + 2/10 = 8/10 or if you reduce; 4/5!

2) Now that you know that method, do the same with the next problem. 3/4 - 1/2: /2 *2=/4. 1/2*2=2/4. 3/4-2/4 = 1/4!

3) 3/4 + 1/8 = (3/4*2) + 1/8. 3/4*2= 6/8. 6/8+1/8=7/8

4) Now, you cannot multiply 2 by any number to get 5. So you need to find the lowest common denominator. You find this by adding each number that is the denominator by itself until you get the same sum. Example: /5+/5=/10.  /2+/2+/2+/2+/2=/10. Remember, whatever is done to the denominator is done to the numerator. /5*2 = /10, 4/*2=8/. And /2*5=/10, 1/*5=5. So now it would be 5/10+8/10= 13/10 which could be changed to 1  3/10

5) Use the same technique you used last time on this problem. 2/3-1/2= (2/3*2) - (1/2*3) =4/6 - 3/6= 1/6!

Answer:

4 1/3 is the same as 11 decreased by a number.

Step-by-step explanation:

The equation has one extraneous solution which is n ≈ 2.38450287.

Given that,

The equation;

[tex]\dfrac{9}{n^2+1} =\dfrac{n+3}{4}[/tex]

We have to find,

How many extraneous solutions does the equation?

According to the question,

An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.

To solve the equation cross multiplication process is applied following all the steps given below.

[tex]\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\[/tex]

The roots (zeros) are the  x  values where the graph intersects the x-axis. To find the roots (zeros), replace  y

with  0  and solve for  x. The graph of the equation is attached.

n  ≈  2.38450287

Hence, The equation has one extraneous solution which is n  ≈  2.38450287

For more information refer to the link.

https://brainly.com/question/15070282

Answer:

A. Consistent and dependent

Answer:

D. Consistent and independent

Step-by-step explanation:

A. Consistent and dependent = two lines that overlap with each other so they have infinite solutions (ex. y = 4x and 4y = 16x equal the same thing)

B. Inconsistent = parallel lines that will NEVER meet each other, so no solution (y = 4x and y = 4x + 1 have the same slope so the steepness of the two lines is the same - they will NEVER have at least 1 point intersecting)

C. Not enough information - incorrect because there are two lines on a graph, and that is enough info to solve

D. Consistent and independent = two lines with EXACTLY ONE SOLUTION (ex. y = 4x + 3 and y = 2x + 2 have exactly one point that overlaps)