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erastovalidia [21]
3 years ago
15

A six sided die is rolled and the spinner on the right is spun.What is the probabiliy of rolling a 6 and spining a vowel

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0

Kindly note that the spinner diagram. Wasn't given and the spinner used was just hypothetical.

Answer:

1 /18

Step-by-step explanation:

Sample space for spinner = (a, b, c, d, e, F, G, h, I) = 9

Total possible outcomes = sampme space

Vowels in spinner = (a, e, I)

Number of vowels = required outcome = 3

P(spinning a vowel) = required outcome / Total possible outcomes

P(spinning a vowel) = 3 / 9 = 1/3

For a six sided dice ;

Required outcome = (6) = 1

Total possible outcomes = (1,2,3,4,5,6) = 6

P(rolling a six) = 1/6

P(rolling a 6 and spinning a vowel) = 1/3 * 1/6 = 1/18

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What is the solution to sqrt 17-x=x+3? Show your work.
snow_lady [41]

Answer:

x=1

Step-by-step explanation:

Remember:

(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2

Given the equation \sqrt{17-x}=x+3, you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

(\sqrt{17-x})^2=(x+3)^2

17-x=(x+3)^2

Simplifying, you get:

17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

(x-1)(x+8)=0

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Let's check if the first solution is correct:

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Therefore, the solution is:

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