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2 years ago

Lucy rolls 2 fair dice and adds the results from each. Work out the probability of getting a total that is a multiple of 5

Mathematics

1 answer:

Sergio039 [100]2 years ago

7 0

Answer:

(1,4) ( 4,1) (2,3) (3,2)

Step-by-step explanation:

Multiples of 5 = 5 and 10

Ways to roll a 5 = (1,4) ( 4,1) (2,3) (3,2)

Ways to roll a 10 = (5,5) (4,6) (6,4)

We have 7 possible outcomes for a multiple of 5...and there are 36 possible outcomes in total

So P (multiple of 5) = 7 / 36

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What is the measure of 3?

mafiozo [28]

Answer:

∠3 = 60°

Step-by-step explanation:

Since g and h are parallel lines then

∠1 and ∠2 are same side interior angles and are supplementary, hence

4x + 36 +3x - 3 = 180

7x + 33 = 180 ( subtract 33 from both sides )

7x = 147 ( divide both sides by 7 )

x = 21

Thus ∠2 = (3 × 21) - 3 = 63 - 3 = 60°

∠ 2 and ∠3 are alternate angles and congruent, hence

∠3 = 60°

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The diagram represents 6x2 – 7x 2 with a factor of 2x – 1. A 2-column table with 2 rows. First column is labeled 2 x with entrie

a_sh-v [17]

Factors of a polynomial can divide it without leaving remainder. The other factor of $6x^2 - 7x + 2$ is given by Option D : $3x + 2$

<h3>How to factorize a polynomial?</h3>

Let the polynomial A(x) has one factor f(x).

Then, it means, we have:

$\dfrac{A(x)}{f(x)} = g(x)$

Thus, A(x) can be written as $A(x) = f(x) \times g(x)$

Thus, the other factor of that polynomial is

$g(x) = \dfrac{A(x)}{f(x)}$

For given case, the polynomial $A(x)$ is

$A(x) = 6x^2 - 7x + 2$

Its one factor f(x) is given $f(x) = 2x - 1$

Thus, its second factor is obtained as:

$g(x) = \dfrac{A(x)}{f(x)} = \dfrac{6x^2 - 7x + 2}{(2x - 1)} = \dfrac{6x^2 -4x -3x - 2}{2x - 1}\\\\g(x) = \dfrac{2x(3x + 2) - 1(3x + 2)}{2x - 1} = \dfrac{(2x - 1)(3x + 2)}{2x - 1}\\\\g(x) = (3x + 2)$

Thus, the second factor of the given polynomial is

Option D : $3x + 2$

Learn more about factors of polynomials here:

brainly.com/question/16078564

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1 year ago

Find the area of a circle with radius, r = 19cm.<br> Give your answer rounded to 3 SF.

Svet_ta [14]

1130cm square
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2 years ago