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1 year ago

Which of the following is true

Mathematics

1 answer:

GREYUIT [131]1 year ago

6 0

The only correct option about the variables is A) The responding variable depends on the manipulated variable.

<h3>How to interpret Statistical variables?</h3>

A manipulated variable is a variable that is changed by the researcher. A manipulated variable is also called an independent variable. A responding variable is a variable that the researcher predicts will change if the manipulated variable changes. A responding variable is also called a dependent variable.

A controlled variable in an experiment is the one that the researcher holds constant or controls. It is also known as a constant or control variable. The controlled variable is not part of an experiment. It is not an independent or dependent variable.

Thus, the only correct option about the variables is option A.

Read more about statistical variables at; brainly.com/question/25223322

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Twice a number is 12 more than 5 times the number.

stira [4]

Answer:

-4

Step-by-step explanation:

<u>Let the number be x:</u>

2x = 5x + 12
2x - 5x = 12
-3x = 12
x = -4

It is -4

5 0

2 years ago

What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of

Mrrafil [7]

Answer:

$\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )$

Step-by-step explanation:

Given: P is Three-fifths the length of the line segment from K to J

To find: x- and y-coordinates of point P on the directed line segment from K to J

Solution:

Section formula:

Let point K and J be $(x_1,y_1)\,,\,(x_2,y_2)$ such that the point $p(x,y)$ divides KJ in ratio $m:n$

Then coordinates of point P are given by $\left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )$

Take $m:n=3:5$

So,

coordinates of point P = $\left ( \frac{3x_2+5x_1}{3+5},\frac{3y_2+5y_1}{3+5} \right )=\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )$

7 0

3 years ago

Rasputen and his three buddies are splitting a giant 18 inch cookie. But notice 1/4 of it is missing. If each person gets the sa

frozen [14]

Answer:

Each of them will get 3.375 inches of cookie.

Step-by-step explanation:

Rasputen and his three buddies are splitting a giant 18 inches cookie.

But they notice that $\frac{1}{4}$ th of it is missing.

So, the actual length of the cookie is $18[1-\frac{1}{4} ]=18 \times \frac{3}{4}=13.5$ inches.

If all the four of them get the same amount of the giant cookie then each of them will get $\frac{13.5}{4} = 3.375$ inches of cookie. (Answer)

8 0

3 years ago

In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents the breakdown time of an insulating fluid between electrodes

ale4655 [162]

Answer:

The sample mean is $\bar{x}=14.371$ min.

The sample standard deviation is $\sigma = 18.889$ min.

Step-by-step explanation:

We have the following data set:

$\begin{array}{cccccccc}0.15&0.82&0.81&1.44&2.70&3.28&4.00&4.70\\4.96&6.49&7.25&8.03&8.40&12.15&31.89&32.47\\33.79&36.80&72.92&&&&&\end{array}$

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.

The formula for the mean of a sample is

$\bar{x} = \frac{{\sum}x}{n}$

where, $n$ is the number of values in the data set.

$\bar{x}=\frac{0.15+0.82+0.81+1.44+2.7+3.28+4+4.7+4.96+6.49+7.25+8.03+8.4+12.15+31.89+32.47+33.79+36.80+72.92}{19}\\\\\bar{x}=14.371$

The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.

To find standard deviation we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }$