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2 years ago

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Mathematics

1 answer:

SashulF [63]2 years ago

5 0

Answer:

x=30 ; y=60 ; z=120.

Step-by-step explanation:

(we can solve it in a system.)

z+2x=180 => z=180-2x
y+4x=180 => y=180-4x

y+z=180

4x+2x=180 => 6x=180 => x=30

<=>

z=180-2*x=180-2*30=180-60=120

y=180-4x =180-4*30=180-120=60

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Answer:

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Step-by-step explanation:

Let

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For 2 boxes, it is:

$Pr = 2 * 0.5^N$

From the question, we have:

$\frac{80}{10000} \to$ Favorable outcome

To solve for N, we have:

$2 * 0.5^N = \frac{80}{10000}$

$2 * 0.5^N = 0.008$

Divide both sides by 2

$0.5^N = 0.004$

Take log of both sides

$\log(0.5^N) = \log(0.004)$

Apply law of logarithm

$N\log(0.5) = \log(0.004)$

Make N the subject

$N = \frac{\log(0.004)}{\log(0.5)}$

$N =7.966$

Approximate

$N = 8$

Solving (b): Balls in one of the two boxes.

Here, we assume that each ball will have almost the same number of balls at a given instance;

Hence, we have:

$Balls \approx \frac{N}{2}$

$Balls \approx \frac{8}{2}$

$Balls \approx 4$

<em>4 balls in each box</em>

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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2 years ago

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8_murik_8 [283]

Answer: The required matrix is

$T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .$

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B = {(-1,2), (3, 4)) and B' = {(1, 0), (0, 1)}.

Let us consider two real numbers a, b such that

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2 years ago

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kolezko [41]

Answer:

√ 99

Rewrite 99 as

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Tap for more steps...

√ 3 2 . 11

Pull terms out from under the radical.

3 √ 11

The result can be shown in multiple forms.

Exact Form:

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Decimal Form:

9.94987437

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Step-by-step explanation:

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3 years ago

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