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alexandr1967 [171]
3 years ago
14

You roll a six sided number cube and flip a coin.What is the probability of rolling a number less than 6 and flipping heads?Writ

e fraction in simplest form
Mathematics
1 answer:
Irina18 [472]3 years ago
4 0

Answer:

5/12

Step-by-step explanation:

Probability to roll a number<6 = 5/6 (each number has probability of 1/6, and there are 5 numbers < 6)

Probability to toss heads = 1/2

Condition "and" = multiplication of probabilities=5/6*1/2=5/12

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3 years ago
6. 3x2 – 2x = 5<br> Quadratic formula
stealth61 [152]

Answer:

The solution to the quadratic equation be:

x=\frac{5}{3},\:x=-1  

Step-by-step explanation:

Given the expression

3x² – 2x = 5

Solving with the quadratic formula

3x^2-2x=5

subtract 5 from both sides

3x^2-2x-5=5-5

Simplify

3x^2-2x-5=0

For a quadratic equation of the form ax²+bx+c=0

x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

For a = 3, b = -2, c = -5

x_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:3\left(-5\right)}}{2\cdot \:3}

x_{1,\:2}=\frac{-\left(-2\right)\pm \:8}{2\cdot \:3}

Separate the solutions

x_1=\frac{-\left(-2\right)+8}{2\cdot \:3},\:x_2=\frac{-\left(-2\right)-8}{2\cdot \:3}

solving

x_1=\frac{-\left(-2\right)+8}{2\cdot \:3}

    =\frac{2+8}{2\cdot \:3}

    =\frac{10}{6}

    =\frac{5}{3}

also solving

x_2=\frac{-\left(-2\right)-8}{2\cdot \:3}

    =\frac{2-8}{2\cdot \:3}

    =\frac{-6}{2\cdot \:3}

    =\frac{-6}{6}

     =-\frac{6}{6}

     =-1

Therefore, the solution to the quadratic equation be:

x=\frac{5}{3},\:x=-1  

5 0
3 years ago
Jamal wrote that 9 – 8.4 = 6.
stepan [7]

9−8.4=6

0.6≠6

False

I don't know...

6 0
2 years ago
Read 2 more answers
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