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Tasya [4]
4 years ago
10

I have 2 Questions Can you help?

Mathematics
2 answers:
Schach [20]4 years ago
8 0
1. They could have more than 4
2. Nope
serg [7]4 years ago
4 0
<span>Question 1:
</span>This depends on the shape's type. For example, a triangle has 3 sides and a square has 4 sides.
<span>Question 2 (and 3):
</span>Yes, it is possible for shapes to have up to 20 sides. Look at the image attached. This is an Icosagon.<em> </em><span><em>In </em></span><em>geometry</em><span><em>, an </em></span>icosagon is<span><em> a twenty-sided </em></span><em>polygon</em><span><em>. </em></span>

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The width of a recycling bin is 3/4 foot,the length is 1 foot,and the height is 1 1/2 feet.What is the volume of the recycling b
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3 years ago
Read 2 more answers
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.5 years, and standard deviation of
Alina [70]

Answer:

If 24 items are picked at random, 8% of the time their mean life will be less than 5.156 years.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 5.5, \sigma = 1.2, n = 24, s = \frac{1.2}{\sqrt{24}} = 0.2449

If 24 items are picked at random, 8% of the time their mean life will be less than how many years?

This is the value of X when Z has a pvalue of 0.08. So it is X when Z = -1.405.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

-1.405 = \frac{X - 5.5}{0.2449}

X - 5.5 = -1.405*0.2449

X = 5.156

If 24 items are picked at random, 8% of the time their mean life will be less than 5.156 years.

3 0
3 years ago
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