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What is significant about circles that provides us with an equilateral triangle?

Ipatiy [6.2K]

Answer:

The circle is important when constructing equilateral triangles because it can allow one to draw an accurate triangle while not having a ruler to measure it out.

Step-by-step explanation:

7 0

3 years ago

WARNJNG ⚠️⚠️ just help me please

marta [7]

(4)3 is also the same thing as 4x3 which is 12n

5 0

2 years ago

The probability distribution of the number of students absent on Mondays, is as follows: X 0 1 2 3 4 5 6 7 f(x) 0.02 0.03 0.26 0

alexgriva [62]

a) Add up all the probabilities $f(x)$ where $x>3$ :

$f(4)+f(5)+f(6)+f(7)=0.35$

b) The expected value is

$E[X]=\displaystyle\sum_xx\,f(x)=3.16$

Since X is the number of absent students on Monday, the expectation E[X] is the number of students you can expect to be absent on average on any given Monday. According to the distribution, you can expect around 3 students to be consistently absent.

c) The variance is

$V[X]=E[(X-E[X])^2]=E[X^2]-E[X]^2$

where

$E[X^2]=\displaystyle\sum_xx^2\,f(x)=11.58$

So the variance is

$V[X]=11.58-3.16^2\approx1.59$

The standard deviation is the square root of the variance:

$\sqrt{V[X]}\approx1.26$

d) Since $Y=7X+3$ is a linear combination of $X$ , computing the expectation and variance of Y is easy:

$E[Y]=E[7X+3]=7E[X]+3=25.12$

$V[Y]=V[7X+3]=7^2V[X]\approx78.13$

e) The covariance of X and Y is

$\mathrm{Cov}[X,Y]=E[(X-E[X])(Y-E[Y])]=E[XY]-E[X]E[Y]$

We have

$XY=X(7X+3)=7X^2+3X$

so

$E[XY]=E[7X^2+3X]=7E[X^2]+3E[X]=90.54$

Then the covariance is

$\mathrm{Cov}[X,Y]=90.54-3.16\cdot25.12\approx11.16$

f) Dividing the covariance by the variance of X gives

$\dfrac{\mathrm{Cov}[X,Y]}{V[X]}\approx\dfrac{11.16}{1.59}\approx0.9638$

5 0

3 years ago

To join a new fitness center, there is a $40 initiation fee. It costs an additional $10 for every spinning class you attend. Wha

Lilit [14]

the average cost per class is $14.

Think of this as an algebraic equation, which would be expressed as 40+10s=total cost

The (s) would be the number of spinning classes you decide to take.

Therefore to find the average cost of the class, you would plug in 10 classes for s.

This brings the total cost to $140 dollars.

To find the average you must divide this cost by the number of classes you took.

This will be the price per class, which is $14.

Statement of the equality of two expressions formulated by way of making use of a set of variables the algebraic operations, particularly, addition, subtraction, multiplication, department, elevating to energy, and extraction of a root.

In arithmetic, an algebraic equation or polynomial equation is an equation of the form P=0 where P is a polynomial with coefficients in some area, regularly the field of rational numbers.

Learn more about algebraic equations here brainly.com/question/2164351

#SPJ4

5 0

2 years ago

Need help with this one

aev [14]

Where is the picture???????

5 0

3 years ago