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mezya [45]
2 years ago
13

Brainliest to whoever can answer this question the best + 50 pts.

Mathematics
2 answers:
kobusy [5.1K]2 years ago
6 0

<u>Answer</u>:

x = -2 and y = -2

<u>Explanation</u>:

Given equations:

3x - 2y = -2

5x - 3y = -4

---------------------

<u>Make the value before y equal:</u>

( 3x - 2y = -2 ) * 3

9x - 6y = -6 .........equation 1

( 5x - 3y = -4 ) * 2

10x - 6y = -8 ...........equation 2

solve them by elimination:

10x - 6y = -8

-9x + 6y = +6

<em>----------------------</em>

x = -2

If x is -2

Then y:

10x - 6y = -8 .................from equation 2

-6y = -8-10x

y = [-8 - 10(-2)]/-6

y = -2

Gnoma [55]2 years ago
5 0
  • 3x-2y=-2--(1)
  • 5x-3y=-4--(2)

  • (1)×5 and (2)×3

\\ \tt\hookrightarrow 15x-10y=-10--(3)

\\ \tt\hookrightarrow 15x-9y=-12--(4)

Subtracting

\\ \tt\hookrightarrow -y=+2

\\ \tt\hookrightarrow y=-2

Put in eq(1)

\\ \tt\hookrightarrow 3x+4=-2

\\ \tt\hookrightarrow x=-2

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Out of 450 applicants for a job, 206 are male and 62 are male and have a graduate degree.
xxMikexx [17]

Answer:

0.3009 is the  probability that the applicant has graduate degree given he is a male.                                                              

Step-by-step explanation:

We are given he following in the question:

M: Applicant is male.

G: Applicant have a graduate degree

Total number of applicants = 450

Number of male applicants = 206

n(M) = 206

Number of applicants that are male and have a graduate degree = 62

n(M\cap G) = 62

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

P(M) = \dfrac{206}{450} = 0.4578

P(M\cap G) = \dfrac{n(M\cap G)}{n} = \dfrac{62}{450} = 0.1378

We have to find the probability that the applicant has graduate degree given he is a male.

P(G|M) = \dfrac{P(G\cap M)}{P(M)} = \dfrac{\frac{62}{450}}{\frac{206}{450}} = \dfrac{62}{206} = 0.3009

Thus, 0.3009 is the  probability that the applicant has graduate degree given he is a male.

5 0
3 years ago
Please help me with this<br><br> 10x(3xy)
sineoko [7]

Answer:

Step-by-step explanation:

10x(3xy)

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6 0
3 years ago
Rewrite the expression 4+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B16-%284%29%285%29%7D" id="TexFormula1" title="\sqrt{16-(4)(
Inessa05 [86]

Answer:

2+i

Step-by-step explanation:

Given the expression:

\dfrac{4+\sqrt{16-(4)(5)}}{2}

To find:

The expression of above complex number in standard form a+bi.

Solution:

First of all, learn the concept of i (pronounced as <em>iota</em>) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by i.

Value of i =\sqrt{-1}.

Now, let us consider the given expression:

\dfrac{4+\sqrt{16-(4)(5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-(4\times 5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-20}}{2}\\\Rightarrow \dfrac{4+\sqrt{-4}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)(4)}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)}\sqrt4}{2}\\\Rightarrow \dfrac{4+\sqrt4i}{2} \ \ \ \ \ (\because \sqrt{-1} =i) \\\Rightarrow \dfrac{4+2i}{2}\\\Rightarrow 2+i

So, the given expression in standard form is 2+i.

Let us compare with standard form a+bi so we get a =2, b =1.

\therefore The standard form of

\dfrac{4+\sqrt{16-(4)(5)}}{2}

is: \bold{2+i}

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Answer:

3 × a × 2 × b = 3a × 2b

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4 years ago
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levacccp [35]

Answer:

D. If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

Step-by-step explanation:


3 0
3 years ago
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