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2 years ago

Use the substitution method to solve each linear system. 4x - 3y = -13,-2x + y = 4

Mathematics

1 answer:

Contact [7]2 years ago

8 0

Answer:

The solutions to the system of equations are:

$x=\frac{1}{2},\:y=5$

Step-by-step explanation:

Given the system of the equations

$\begin{bmatrix}4x-3y=-13\\ -2x+y=4\end{bmatrix}$

Isolate x for for 4x-3y=-13

$4x-3y=-13$

$4x=-13+3y$

Divide both sides by 4

$x=\frac{-13+3y}{4}$

substitute y=5

$x=\frac{-13+3\cdot \:5}{4}$

$x=\frac{1}{2}$

The solutions to the system of equations are:

$x=\frac{1}{2},\:y=5$

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Binomial probability distribution

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$C_{n,x} = \frac{n!}{x!(n-x)!}$

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In this problem:

The probability that the seventh person is the first to say yes is P(X = 0) when n = 6(first six say no) multiplied by 0.37(probability the seventh say yes).
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Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.37)^{0}.(0.63)^{6} = 0.0625$

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0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.

A similar problem is given at brainly.com/question/24863377

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2 years ago

Zara translates figure p to make figure q. If she translates figure q 4 units to right to make figure r where will figure r be l

Morgarella [4.7K]

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

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When a figure is shifted 4 units to the right, <u>4 is added to the x-coordinate</u>, hence, considering the vertices (x,y) of figure p, the following rule is applied to find the vertices of figure r.

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More can be learned about translation concepts at brainly.com/question/28416763

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1 year ago

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2 years ago

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gavmur [86]

Answer:

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2 years ago

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