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Ket [755]
3 years ago
8

What is the probability of two dice being rolled and it being less than 7 and divisible by 3

Mathematics
2 answers:
Luden [163]3 years ago
8 0

Answer:

Step-by-step explanation:

(1, 1) <u>(1, 2)</u> (1, 3) (1, 4) <u>(1, 5)</u> (1, 6)

<u>(2, 1)</u> (2, 2) (2, 3)<u> (2, 4)</u> (2, 5) (2, 6)

(3, 1) (3, 2) <u>(3, 3)</u><u> </u>(3, 4) (3, 5) <u>(3, 6) </u>

(4, 1) <u>(4, 2</u>) (4, 3) (4, 4)<u> (4, 5) </u>(4, 6)

<u>(5, 1)</u> (5, 2) (5, 3) <u>(5, 4)</u> (5, 5) (5, 6)

(6, 1) (6, 2) <u>(6, 3) </u>(6, 4) (6, 5) <u>(6, 6) </u>

The bold numbers are less than 7, and the <u>underlined numbers</u> are <u>divisible by 3</u>. The total number of numbers are 36.

The number of numbers that are <u>both</u> <u>underlined</u> and bold are 7.

The probability is 7/36.

Ivenika [448]3 years ago
4 0

Answer:

2/12 (1/6)

Step-by-step explanation:

Two dice both have 6 numbers. So thats 12 numbers in total.

1-6 are less than seven and only 2 of those numbers are divisible by 3. (3 & 6)

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Question 10 Express 40 as a product of prime factors​
Step2247 [10]

Answer:

2 x 2 x 2 x 5

Step-by-step explanation:

The first few prime numbers:  {2, 3, 5, 7, 11, 13, 17, 19}

One way to start is to divide by the first prime until you can't do that any more, then try the next prime and so on until all the numbers in your list are prime.

40 = 2(20)  divide 20 by 2 again

40 = 2(2)(10)  divide 10 by 2 again

40 = 2(2)(2)(5) stop--all factors are prime.

5 0
3 years ago
PLS HELP !! I WILL GIVE BRAINLIEST !!! I JUST NEED THE ANSWER WITH A SENTENCE EXPLANATION !!!
AURORKA [14]

Answer:

Blue

Step-by-step explanation:

Hard to explain just trust.

8 0
3 years ago
Read 2 more answers
X &lt; -10/3 or x &gt; 2/3
Fittoniya [83]

Hello! :)

Here is a graph for x < -10/3 or x > 2/3.

THEDIPER

6 0
3 years ago
What equation describes the circle that is centered at (8, 3) and has a radius of 9
Sloan [31]

Answer:

<h3> (x-8)²+(y-3)² = 81</h3>

Step-by-step explanation:

The general equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the centre of the circle

r is the radius

Given the centre (8, 3) and the radius of 9, the equation of the circle will be;

(x-a)²+(y-b)² = r²

(x-8)²+(y-3)² = 9²

(x-8)²+(y-3)² = 81

hence the required equation is  (x-8)²+(y-3)² = 81

5 0
2 years ago
what is the polynomial function of lowest degree with leading coefficient of 1 and roots 2 and 1 + square root2
Marta_Voda [28]
If the roots to such a polynomial are 2 and 1+\sqrt2, then we can write it as

(x-2)(x-(1+\sqrt2))

courtesy of the fundamental theorem of algebra. Now expanding yields

(x-2)(x-1-\sqrt2)=x^2-2x-(1+\sqrt2)x+2(1+\sqrt2)=x^2-(3+\sqrt2)x+2+2\sqrt2

which would be the correct answer, but clearly this option is not listed. Which is silly, because none of the offered solutions are *the* polynomial of lowest degree and leading coefficient 1.

So this makes me think you're expected to increase the multiplicity of one of the given roots, or you're expected to pull another root out of thin air. Judging by the choices, I think it's the latter, and that you're somehow supposed to know to use 1-\sqrt2 as a root. In this case, that would make our polynomial

(x-2)(x-(1+\sqrt2))(x-(1-\sqrt2))=x^3-4x^2+3x+2

so that the answer is (probably) the third choice.

Whoever originally wrote this question should reevaluate their word choice...
5 0
3 years ago
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