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Tresset [83]
3 years ago
14

A six sided number cube is rolled twice what is the probability that the first roll is an even number and the second roll is a n

umber greater than 4
Mathematics
2 answers:
serious [3.7K]3 years ago
7 0
First roll: 3/6
Second roll:2/6

Probability that the first roll is an even number AND the second roll is a number greater than Four is

(3/6)*(2/6) = 6/36 or 1/6 or approx 0.167 or 16.7%
sp2606 [1]3 years ago
4 0

Answer:

50% of rolling an even number.

33.33% of rolling a number greater than 4.

Step-by-step explanation:

<h2><em>Even Number Probability: </em></h2>

There're three possibilities to roll an even number: 2, 4, and 6. If it's a six sided dice, there're a total of six rolling possibilities, so the ratio is 3:6, 1:2, or 50% chance of rolling an even number.

<h2><em>Greater Than Four Probability:</em></h2>

There're only two number greater than four on a traditional six sided dice: 5 and 6. There're, again, six sides on a six sided dice, so the ratio of rolling a number greater than four is 2:6, 1:3, or 33.33%.

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Anna007 [38]

Answer:

(x - 5)(x + 8)

Step-by-step explanation:

Your equation is: x² + 3x - 40

1. Factor the quadratic

(a) Find two numbers that multiply to give -40 and add to give 3.

List the positive factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

One of the numbers must be negative. Start with the numbers near the middle of the list.

By trial and error, you will find that +8 and -5 work:

-5 × 8 = -40 and -5+8 = 3

(b) Rewrite 3x as -5x + 8x

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(c) Factor the first two and the last two terms

x(x - 5) + 8(x - 5)

(d) Separate the common factor

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2. Using Desmos

You can plot the equation with Desmos.

You get a parabola with x-intercepts at x = -8 and x = 5.

These are the solutions to

x + 8 =0 and x - 5 = 0, so

x² + 3x - 40 =  (x+ 8)(x - 5)

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