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Answer:

(2x−1)(x+4)

Step-by-step explanation:

2x2+7x−4=(2x−1)(x+4)

[tex]\implies2x = 74 \\ \implies \: x = \frac{74}{2} \\ \implies \: x = 37[/tex]

If you are wondering why 2x = 74 then, vertically opposite angles are always equal.

Answer:

17 biscuits

Step-by-step explanation:

Since she starts with 50 and gives away half which is 25, that will leave her with 25 biscuits herself. If she then eats 8 of them, that will leave her with 17 since 25-8=17.

The correlation coefficient of the number of employees and the number of products is 0.1.

The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.

A result of zero indicates no relationship at all, therefore, independent variable.

A.) In order to find the correlation between the two quantities we need to know the mean of the two values, therefore, the mean of the number of employees can be written as,

The mean of the  number of employees

[tex]\text{Mean of the number of employees} = \dfrac{0+50+100+150+200+250+300+350+400}{9}[/tex]

[tex]\text{Mean of the number of employees} = 200[/tex]

The mean of the  number of products

Mean of the number of Products [tex]= \dfrac{100+1100+2100 +3100+ 4100 +5100+ 6100+ 7100+ 8100}{9}\\\\\\=4100[/tex]

Now, the table can be written in the following manner as shown below, using the formula of the correlation,

[tex]r =\dfrac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}[/tex]

[tex]r =\dfrac{(30 \times 10^4)}{\sqrt{(15 \times 10^4)\times (60 \times 10^6)}}\\\\r = 0.1[/tex]

B.) The given data follows the linear relationship, therefore, the function of the given data will follow the general equation of a line.

y = mx + C

If we look at the value of y when the value of x was 0,

[tex]y = mx +C \\\\100 = m(0) + C\\\\C = 100[/tex]

Substitute the value of C in any other data point we will get,

[tex]y = mx+C\\\\1100 = m(50) +100\\\\m = 20[/tex]

Hence, the function that best fits the data is y=20x+100.

C.)  The slope and y-intercept of the plot indicate that as the number of employees in the organization increases the number of products increases as well. The y-intercept shows us that if there are no employees in the company at that point the company will be able to produce 100 products on its own.

Learn more about Correlation Coefficients:

https://brainly.com/question/15353989

Let

ATQ

[tex]\\ \tt\hookrightarrow x+3x-17=527[/tex]

[tex]\\ \tt\hookrightarrow 4x-17=527[/tex]

[tex]\\ \tt\hookrightarrow 4x=544[/tex]

[tex]\\ \tt\hookrightarrow x=136[/tex]

Answer:

In step by step

Step-by-step explanation:

Your mean is 190.

Your median is 180 because it is in middle.

Mode is also 180 because it appears most often

Range 205 because 300-95

Variance= without decimals/2346

Standard deviation without decimals /48

Hope it helps :}       have a great day!

Answer:

Question 1 is A  (7/10) Question 2 is b (39/56)

Step-by-step explanation:

Answer:

When a radius meets a tangent the angle is always 90° and the length of the radius stays constant

So you can do pythagoras theorem

A2+b2=c2

9^2+14^2=C^2

C= 16.64

C~17

x = 2

y = -1/2

multiply 1st equation by 2 to get common coefficient

6x + 4y = 10

2x + 4y = 2

‐-------------- subtract equation

4x = 8

x = 2

substitute

3×2 + 2y = 5

6 + 2y = 5

2y = -1

y = -1/2

Answer:

7 X = 30 + 2(x + 5)

7x = 30 + 2x + 10

7x = 40 + 2x

7x - 2x = 40 + 2x -2x

5x = 40

x=8

Answer:

x=8

Step-by-step explanation:

7 X = 30 + 2(x + 5)

7x = 30 + 2x + 10

7x = 40 + 2x

7x - 2x = 40 + 2x -2x

5x = 40

x=8

Answer:

Step-by-step explanation:

Let the width is x, then the length is 2x.

Area of rectangle:

Dimensions are:

Perimeter is:

Let dimensions be x and 2x

Now

Now

Breadth=3

Length=2(3)=6

Perimeter

Answer:

9.42 (sorry if im late)

Step-by-step explanation:

I believe that if you take the radius and multiply it by pi (3.14), you get the circumfrence

3.14 x 3 = 9.42

Answer:

Yo hope you do not get in trouble for plagiarism

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the "<" (or "smaller") symbol tells us that the solution must have empty dots at the interval ends, as these values are not included in the solution.

otherwise, we would have a "<=" ("smaller or equal") symbol.

let's start for the first limit to calculate without the absolute value :

-2 + (x - 3) < 7

-5 + x < 7

x < 12

the other end we get by multiplying only the left side (still without the absolute value) by -1 and do it again :

-1×(-2 + (x - 3)) < 7

2 - (x - 3) < 7

2 - x + 3 < 7

-x + 5 < 7

-x < 2

x > -2 (remember, when we multiply the whole inequality, left and right side, by a negative value, we need to flip the inequality symbol).

Answer:

15 is the slope, it means you make $15 an hour

Step-by-step explanation:

$15 is found as the slope (see attachment), and because it's rise over run (15/1) then that is making $15 for every one hour worked.

Answer:

-8

Step-by-step explanation:

given x as 4/5   and y =  - 0.1...

converting x to decimal it becomes 0.8

we then input values for x and y in the equation x/y

x/y =   0.8 /  -0.1  =   -8

The value of the fraction x/y is -8.

Given that, x= 4/5 and y= −0.1.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

To find the value of fraction x/y:

Here, x=4/5 = 0.8

Now, x/y = 0.8/(-0.1)

= -8

Hence, the value of the fraction x/y is -8.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ5

Answer:

10,11,12

Step-by-step explanation:

32-2/3=smallest

Answer: Choice D and Choice E

Explanation:

Subtract 3 from both sides

x+3 > 70

x+3-3 > 70-3

x+0 > 67

x > 67

Any number larger than 67 will make the original inequality to be true.

Unfortunately, only E) 70 fits the description.

D) 67 won't work since 67 > 67 is false.

However, I have a feeling that the original inequality might be [tex]x+3 \ge 70[/tex]. If so, then 67 would work because [tex]67\ge 67[/tex] is true.

So I'll assume that this is the inequality you meant to type out.

Answer:

can you make it look better

Step-by-step explanation:

The quality

Answer:

-28, -20, -12, 4, 4

Step-by-step explanation:

I really dont know how to explain this but yeah pretty much thats the answer.

Answer:

20%

Step-by-step explanation:

The percentage score for 3 out of 15 is 20.00%.

Answer:

what are you asking

Step-by-step explanation:

what are u asking

Answer:

  (d)  219.80 ft

Step-by-step explanation:

The side opposite the angle is given, and we want to find the side adjacent. The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(20°) = (80 ft)/(distance to sculpture)

This rearranges to ...

  distance to sculpture = (80 ft)/tan(20°) ≈ 219.80 ft

Answer:

B. nonlinear

Step-by-step explanation:

Difference                        Difference

   in x                x     y            in y

                         0   -2

       1                                         1

                         1     -1

       1                                         7

                        2      6

       1                                         19

                       3     25

The difference between any two consecutive x-coordinates is 1. Each difference between any two consecutive y-coordinates is different. This means it is a nonlinear function.

Answer:

3 into 1 apple so if u have 3 apples u need 9 strawberrys

Step-by-step explanation: