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Minchanka [31]
2 years ago
7

To which subsets of real numbers does the following number belong? square root of 30

Mathematics
2 answers:
LenaWriter [7]2 years ago
6 0

In order to determine which subset it belongs, we must rewrite

\sqrt(30)

as

\sqrt(30)=\sqrt(2\times \times 3 \times 5)


\Rightarrow \sqrt(30)=\sqrt(2 \times 3\times 5)

\Rightarrow \sqrt(30)=\sqrt(2) \times \sqrt(3) \times \sqrt(5)


All these three numbers are irrational numbers, hence their product is also irrational


<h2>\Rightarrow \sqrt(30)</h2><h2>belongs to the set of irrational numbers</h2>
aleksandrvk [35]2 years ago
6 0

Answer:

Irrational number

Step-by-step explanation:

We are given that \sqrt{30}

We have to find that given  number from which subset of real numbers  belong.

\sqrt{30}  can be written as

\sqrt{30}=\sqrt2\times \sqrt3\times \sqrt{5}

We know that

\sqrt2, \sqrt3,\sqrt5 are irrational numbers .

Product of irrational numbers sometimes rational and some times irrational depend upon given numbers.

Therefore, \sqrt{30} is a irrational number.

Hence, \sqrt{30} belongs to irrational number .

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Someone please answer this lol xx
Tamiku [17]
The answer is 4 lol
3 0
3 years ago
a line passes through point (-2,5) and has a slope of 2/3 points a (x,3) and b ( -2, y) lie on the line what is the value of y a
Tomtit [17]

Answer:

The value of y is 5 , and The value of x is - 5

Step-by-step explanation:

Given as :

The line passes through point ( - 2, 5)

The slope of line is m =  \frac{2}{3}

Equation of line is written as

y - y_1 = m × (x - x_1)

Since line passes through line ( - 2 , 5 ) and have slope \frac{2}{3}

So, y - 5 =   \frac{2}{3}  × (x + 2)

Or, 3 × ( y - 5 ) = 2 × ( x + 2 )

Or, 3 y - 15 = 2 x + 4

Or, 3 y - 2 x - 19 = 0 is the equation of line

Now points ( x , 3 ) lies on the line 3 y - 2 x - 19 = 0

So, 3 × 3 - 2 x - 19 = 0

or, 9 - 2 x - 19 = 0

or, 2 x = - 10

∴  x = - \frac{10}{2}

I.e x = - 5

Again points ( - 2 , y )  lies on the line 3 y - 2 x - 19 = 0

So, 3 × y + 2 × 2 - 19 = 0

Or,  3 × y + 4 -19 = 0

or, 3 y = 15

∴  y = \frac{15}{3}

I.e y = 5

Hence The value of y is 5 , and The value of x is - 5   .  Answer

8 0
2 years ago
Can someone please help I really need this to be correct.
kupik [55]
I think it’s 22 or 23...I’m so sorry if it’s wrong :/
8 0
2 years ago
If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au
Alex17521 [72]

Answer:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:  

X \sim Binom(n=8, p=0.9)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And for this case we want to find this probability:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

3 0
2 years ago
Read 2 more answers
Type the correct answer in each box. Round the vector's magnitude to the nearest tenth.
Mama L [17]

Component form of u is (-18,13) and The magnitude of u is 22.2

<h3>What is a vector?</h3>

A vector is a two-dimensional entity with both magnitude and direction. A vector can be visualized geometrically as a directed line segment.

The component form of a vector is an ordered pair that describes the change in x and y values

This is mathematically expressed as (Δx, Δy) where Δx=x₂-x₁ and Δy=y₂-y₁

Given ;

Initial points of the vector as (14,-6)

The terminal point of the vector is (-4,7)

Here x₁=14,x₂=-4, y₁=-6,y₂=7

The component form of the vector u is (-4-14,7--6) =(-18,13)

Finding the Magnitude of the vector

u=√(x₂-x₁)²+(y₂-y₁)²

u=√-18²+13²

u=√324+169

u=√493

u=22.2

Therefore the Component form of u is (-18,13) and The magnitude of u is 22.2

To know more about vectors follow

brainly.com/question/25705666

#SPJ1

3 0
1 year ago
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