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vodka [1.7K]
3 years ago
11

A spinner has regions numbered 1 through 21. what is the probability that the spinner will stop on an even number or a multiple

of 3
Mathematics
2 answers:
MAXImum [283]3 years ago
6 0

Answer: \dfrac{2}{3}

Step-by-step explanation:

Given : The total number of regions in the spinner = 21

The outcomes for even number =2,4,6,8,10,12,14,16,18,20

The outcomes for multiple of 3 = 3,6,9,12,15,18,21

The number of outcomes of getting an even number or a multiple of 3 = 14

Then, the probability that the spinner will stop on an even number or a multiple of 3 will be :-

\dfrac{14}{21}=\dfrac{2}{3}

Hence, the probability that the spinner will stop on an even number or a multiple of 3 is  \dfrac{2}{3}

sertanlavr [38]3 years ago
5 0
10 of the numbers are even. 4 more are odd multiples of 3. The probability of landing on even or a multiple of 3 is (10+4)/21 = 2/3.
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4 years ago
Find the limit of the function algebraically. limit as x approaches negative nine of quantity x squared minus eighty one divided
scoray [572]
Let me express the equation clearly:

lim x→-9  (x²-81)/(x+9)

Initially, we solve this by substituting x=-9 to the equation. 

((-9)²-81)/(-9+9) = 0/0

The term 0/0 is undefined. This means that the solution is not see on the number line because it is imaginary. Other undefined terms are N/0 (where N is any number), 0⁰, 0×∞, ∞-∞, 1^∞ and ∞/∞. One way to solve this is by applying L'Hopitals Rule. This can be done by differentiating the numerator and denominator of the fraction independently. Then, you can already substitute the x=-9.

(2x-0)/(1+0) = 2x = 2(-9) = -18

The other easy way is to substitute x=-8.999 to the original equation. Note that the term x→-9 means that x only approaches to -9. Thus, you substitute a number that is very close to -9. Substituting x=-8.999

((-8.999)²-81)/(-8.999+9) = -18

7 0
3 years ago
Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.
Leto [7]
2x-4=3-x +1
<span>Simplifying 2x + -4 = 3 + -1x + 1
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 Combine like terms: 3 + 1 = 4 -4 + 2x = 4 + -1x
 Solving -4 + 2x = 4 + -1x
 Solving for variable 'x'.
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 Add 'x' to each side of the equation. -4 + 2x + x = 4 + -1x + x
 Combine like terms: 2x + x = 3x -4 + 3x = 4 + -1x + x
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Combine like terms: 4 + 4 = 8 3x = 8
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 Simplifying x = 2.666666667</span>
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Answer:

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