two sides of an equilateral triangle measure (y+10) and (y^2(-2)). if the perimeter of the triangle is 21 units what is the value of y?

Answers

Answer 1

Answer:

Answer:

y = -3

Step-by-step explanation:

Each side of an equilateral triangle will have a length that is 1/3 the perimeter. This triangle has sides of length 21/3 = 7, so ...

y + 10 = 7

y = 7 - 10

y = -3

This is consistent with the other given side measure ...

y^2 -2 = (-3)^2 -2 = 9 -2 = 7

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0.78 of air is nitrogen and 0.93% is argon. Is there more nitrogen or argon in air?

Answers

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Use the value of the linear correlation coefficient r to find the percentage of the total variation that can be explained by the linear relationship between the two variables. r = 0.234 (Your answer should be a percent rounded to two decimal places as needed.)

Answers

Answer:

5.47% of the total variation between the two variables can be explained by the regression line.

Step-by-step explanation:

Given :

R value = 0.234

The R value is the correlation Coefficient ; which gives the type and level of correlation between two variables.

However, to Obtian the percentage variation which can be explained by by the regression line, we have to obtain the Coefficient of determination, R².

R² value is Obtained by taking the squared of the correlation Coefficient

Hence,

R² = 0.234² = 0.054756

R² = 0.05476 * 100% = 5.4756%

Hence, R² = 5.48%

This is interpreted as ; 5.47% of the total variation between the two variables can be explained by the regression line.

Suppose you select two numbers at random with replacement from the set {1, 2, 3} and then you form a rectangle with the first number as the length of the rectangle and the second number as the height of the rectangle. Let X be the area of the rectangle so formed. Find the probability mass function of X.