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3 years ago

206 MAI

Mathematics

1 answer:

Mademuasel [1]3 years ago

3 0

Step-by-step explanation:

Two of the sides are 4 and 5. The other four sides are 1, 2, 3, and 6.

The probability of rolling a number other than 4 or 5 on any roll is 4/6, or 2/3.

The probability of rolling no 4s or 5s six times is:

P = (2/3)⁶

P ≈ 0.088

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If f and g are continuous functions with f(0) = 2 and the following limit, find g(0). lim_(x->0)[2 f(x) - g(x)] = -3

ladessa [460]

We have by distributivity of limits over sums, and continuity of $f(x)$ and $g(x)$ , that

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2 years ago

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3 years ago

Read 2 more answers

To solve y and x, I am adding a picture

Viktor [21]

Answer:

$x =\sqrt 5$

$y = \sqrt{5$

Step-by-step explanation:

Given

The attached triangle

Required

Solve for x

Considering angle 45 degrees, we have:

$\cos(45) = \frac{y}{\sqrt{10}}$ --- cosine formula i.e. adj/hyp

Solve for y

$y = \sqrt{10} * \cos(45)$

In radical form, we have:

$y = \sqrt{10} * \frac{1}{\sqrt 2}$

$y = \sqrt{10/2}$

$y = \sqrt{5$

To solve for x, we make use of Pythagoras theorem

$x^2 + y^2 = (\sqrt{10})^2$

$x^2 + y^2 =10$

Substitute for y

$x^2 + (\sqrt 5)^2 =10$

$x^2 + 5 =10$

Collect like terms

$x^2 =10-5$

$x^2= 5$

Solve for x

$x =\sqrt 5$

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