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Gemiola [76]
3 years ago
11

A spinner has 1212 ​equal-sized sections. ThreeThree of the sections are purplepurple. a. What is the probability that the spinn

er will land on purplepurple​? b. Use words to describe the probability.
Mathematics
1 answer:
Vikki [24]3 years ago
7 0

Answer:

(a) 1/4

(b) answer in explanation

Step-by-step explanation:

In this question, we are told that we have a spinner and the spinner has 12 equal sized sections with three of the sections purple in color. We are now asked to calculate the probability of the spinner landing on the color purple.

Checking, we can see that this is a probability question. The spinner has the options of stopping at 12 different positions but amongst these 12 positions, 3 of the positions are painted purple. We now need to know the probability of the spinner landing on purple.

To get the probability of this, what we simply do is to divide the number of purple options by the total number of outcomes we have. The number of purple options is 3 while the total outcome we have is 12. The probability is thus P(of purple is) = 3/12 = 1/4

(b) we are asked to use words to describe the probability

From the probability in the question, what we can see is that if the spinner is spinner 4 different times, there is a chance that 1 out of all the chances will produce a result where we have the spinner landing on one of the purple color section.

What this actually means is that there is a 25% chance within every spin for the spin to land in the purple color section of the spinner

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For a population with = 100 and = 20, what is the x value corresponding to z = 1.50?
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For a population with mean (μ) = 100 and standard deviation (σ) = 20, the X value corresponding to z = 1.50 is 130.

<h3>What is a z-score?</h3>

A z-score is also referred to as a standard score and it's a measure of the distance between a raw score and the mean, when standard deviation units are used.

<h3>How to determine the value of x?</h3>

In Statistics, the standardized z-score is giving by this formula:

Z=\frac{\bar{x}\;-\;\mu}{ \sigma }

Making x the subject of formula, we have:

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Read more on z-scores here: brainly.com/question/4302527

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Complete Question:

For a population with μ= 100 and σ = 20, what is the X value corresponding to z = 1.50?

30

101.5

115

130

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2 years ago
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